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)

sample1.4s (25.3%)

Results

1.3s

8256×

body

256

valid

Bogosity

preprocess328.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

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

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 10 to 7 computations (30% 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
▶	50.4%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶	50.4%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))

Compiler

Compiled 20 to 14 computations (30% saved)

localize88.0ms (1.6%)

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 (*.f64 x x) 1)
✓	52.6%	(sqrt.f64 (-.f64 (*.f64 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.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	@	inf	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
1.0ms	x	@	0	(sqrt.f64 (-.f64 (*.f64 x x) 1))
0.0ms	x	@	inf	(sqrt.f64 (-.f64 (*.f64 x x) 1))

rewrite181.0ms (3.3%)

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	45
1	214	45
2	2915	45

Stop Event

1×	node limit

Counts

3 → 145

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 (*.f64 x x) 1))
(-.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 (*.f64 x x) -1)
(+.f64 0 (fma.f64 x x -1))
(+.f64 -1 (*.f64 x x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1)))))
(*.f64 1 (fma.f64 x x -1))
(*.f64 (fma.f64 x x -1) 1)
(*.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 3/4))
(*.f64 (+.f64 (pow.f64 x 6) -1) (/.f64 1 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(*.f64 (+.f64 (pow.f64 x 4) -1) (/.f64 1 (fma.f64 x x 1)))
(*.f64 (+.f64 x 1) (+.f64 x -1))
(*.f64 (+.f64 x -1) (+.f64 x 1))
(*.f64 (pow.f64 (fma.f64 x x -1) 3/4) (pow.f64 (fma.f64 x x -1) 1/4))
(*.f64 (pow.f64 (fma.f64 x x -1) 5/6) (pow.f64 (fma.f64 x x -1) 1/6))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)) (+.f64 (pow.f64 x 6) -1)))
(/.f64 1 (/.f64 (fma.f64 x x 1) (+.f64 (pow.f64 x 4) -1)))
(/.f64 (+.f64 (pow.f64 x 6) -1) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(/.f64 (+.f64 (pow.f64 x 6) -1) (+.f64 (pow.f64 x 4) (-.f64 1 (.f64 (.f64 x x) -1))))
(/.f64 (+.f64 (pow.f64 x 4) -1) (fma.f64 x x 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 6) -1)) (neg.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 4) -1)) (neg.f64 (fma.f64 x x 1)))
(pow.f64 (fma.f64 x x -1) 1)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 6)
(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3)
(pow.f64 (pow.f64 (fma.f64 x x -1) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/3)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 4)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 2/3)
(pow.f64 (/.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)) (+.f64 (pow.f64 x 6) -1)) -1)
(pow.f64 (/.f64 (fma.f64 x x 1) (+.f64 (pow.f64 x 4) -1)) -1)
(sqrt.f64 (pow.f64 (fma.f64 x x -1) 2))
(log.f64 (exp.f64 (fma.f64 x x -1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x x -1))))
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3))
(expm1.f64 (*.f64 2 (log.f64 x)))
(expm1.f64 (*.f64 (log.f64 x) 2))
(expm1.f64 (.f64 (.f64 2 (log.f64 x)) 1))
(exp.f64 (log.f64 (fma.f64 x x -1)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x x -1)) 1) 1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x x -1)) 1/2) 2))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1) 2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x x -1))) 3))
(exp.f64 (.f64 (.f64 2 (log.f64 (fma.f64 x x -1))) 1/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 x x -1))) 1/3))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) (*.f64 (log.f64 (fma.f64 x x -1)) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2) (log.f64 (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (+.f64 (.f64 (log.f64 (fma.f64 x x -1)) 1/2) (.f64 (log.f64 (fma.f64 x x -1)) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (fma.f64 x x -1)) 1/2) (.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1) (log.f64 (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1) (.f64 (log.f64 (fma.f64 x x -1)) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1) (.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1)))
(log1p.f64 (expm1.f64 (fma.f64 x x -1)))
(fma.f64 x x -1)
(fma.f64 (*.f64 x x) 1 -1)
(fma.f64 1 (*.f64 x x) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x) -1)
(fma.f64 (*.f64 (cbrt.f64 x) x) (pow.f64 (cbrt.f64 x) 2) -1)
(fma.f64 (.f64 (cbrt.f64 x) x) (.f64 (pow.f64 (cbrt.f64 x) 2) 1) -1)
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) -1)
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) -1)
(+.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))

simplify275.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

652×	`times-frac`
648×	`associate-+r+`
636×	`associate-+l+`
596×	`fma-neg`
528×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	405	4323
1	909	4095
2	2938	3949

Stop Event

1×	node limit

Counts

181 → 246

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)))))
-1
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(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 (*.f64 x x) -1)
(+.f64 0 (fma.f64 x x -1))
(+.f64 -1 (*.f64 x x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1)))))
(*.f64 1 (fma.f64 x x -1))
(*.f64 (fma.f64 x x -1) 1)
(*.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 3/4))
(*.f64 (+.f64 (pow.f64 x 6) -1) (/.f64 1 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(*.f64 (+.f64 (pow.f64 x 4) -1) (/.f64 1 (fma.f64 x x 1)))
(*.f64 (+.f64 x 1) (+.f64 x -1))
(*.f64 (+.f64 x -1) (+.f64 x 1))
(*.f64 (pow.f64 (fma.f64 x x -1) 3/4) (pow.f64 (fma.f64 x x -1) 1/4))
(*.f64 (pow.f64 (fma.f64 x x -1) 5/6) (pow.f64 (fma.f64 x x -1) 1/6))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)) (+.f64 (pow.f64 x 6) -1)))
(/.f64 1 (/.f64 (fma.f64 x x 1) (+.f64 (pow.f64 x 4) -1)))
(/.f64 (+.f64 (pow.f64 x 6) -1) (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))
(/.f64 (+.f64 (pow.f64 x 6) -1) (+.f64 (pow.f64 x 4) (-.f64 1 (.f64 (.f64 x x) -1))))
(/.f64 (+.f64 (pow.f64 x 4) -1) (fma.f64 x x 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 6) -1)) (neg.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 4) -1)) (neg.f64 (fma.f64 x x 1)))
(pow.f64 (fma.f64 x x -1) 1)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 6)
(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3)
(pow.f64 (pow.f64 (fma.f64 x x -1) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/3)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 4)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 2/3)
(pow.f64 (/.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)) (+.f64 (pow.f64 x 6) -1)) -1)
(pow.f64 (/.f64 (fma.f64 x x 1) (+.f64 (pow.f64 x 4) -1)) -1)
(sqrt.f64 (pow.f64 (fma.f64 x x -1) 2))
(log.f64 (exp.f64 (fma.f64 x x -1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x x -1))))
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3))
(expm1.f64 (*.f64 2 (log.f64 x)))
(expm1.f64 (*.f64 (log.f64 x) 2))
(expm1.f64 (.f64 (.f64 2 (log.f64 x)) 1))
(exp.f64 (log.f64 (fma.f64 x x -1)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x x -1)) 1) 1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x x -1)) 1/2) 2))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1) 2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x x -1))) 3))
(exp.f64 (.f64 (.f64 2 (log.f64 (fma.f64 x x -1))) 1/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 x x -1))) 1/3))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) (*.f64 (log.f64 (fma.f64 x x -1)) 1/2)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2) (log.f64 (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (+.f64 (.f64 (log.f64 (fma.f64 x x -1)) 1/2) (.f64 (log.f64 (fma.f64 x x -1)) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (fma.f64 x x -1)) 1/2) (.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1) (log.f64 (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1) (.f64 (log.f64 (fma.f64 x x -1)) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1) (.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1)))
(log1p.f64 (expm1.f64 (fma.f64 x x -1)))
(fma.f64 x x -1)
(fma.f64 (*.f64 x x) 1 -1)
(fma.f64 1 (*.f64 x x) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x) -1)
(fma.f64 (*.f64 (cbrt.f64 x) x) (pow.f64 (cbrt.f64 x) 2) -1)
(fma.f64 (.f64 (cbrt.f64 x) x) (.f64 (pow.f64 (cbrt.f64 x) 2) 1) -1)
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) -1)
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) -1)
(+.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 x 6) (pow.f64 (sqrt.f64 -1) 5))))))
(+.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 (*.f64 1/16 (pow.f64 x 6)) (pow.f64 (sqrt.f64 -1) 5))))
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))))
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(-.f64 x (+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/16 (pow.f64 x 5))))
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(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3))
(fma.f64 x x -1)
(expm1.f64 (*.f64 2 (log.f64 x)))
(expm1.f64 (*.f64 (log.f64 x) 2))
(expm1.f64 (*.f64 2 (log.f64 x)))
(expm1.f64 (.f64 (.f64 2 (log.f64 x)) 1))
(expm1.f64 (*.f64 2 (log.f64 x)))
(exp.f64 (log.f64 (fma.f64 x x -1)))
(fma.f64 x x -1)
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1))
(fma.f64 x x -1)
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x x -1)) 1) 1))
(fma.f64 x x -1)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 2))
(fma.f64 x x -1)
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x x -1)) 1/2) 2))
(fma.f64 x x -1)
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1) 2))
(fma.f64 x x -1)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x x -1))) 3))
(fma.f64 x x -1)
(exp.f64 (.f64 (.f64 2 (log.f64 (fma.f64 x x -1))) 1/2))
(fma.f64 x x -1)
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 x x -1))) 1/3))
(fma.f64 x x -1)
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) (*.f64 (log.f64 (fma.f64 x x -1)) 1/2)))
(fma.f64 x x -1)
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1)))
(fma.f64 x x -1)
(exp.f64 (+.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2) (log.f64 (sqrt.f64 (fma.f64 x x -1)))))
(fma.f64 x x -1)
(exp.f64 (+.f64 (.f64 (log.f64 (fma.f64 x x -1)) 1/2) (.f64 (log.f64 (fma.f64 x x -1)) 1/2)))
(fma.f64 x x -1)
(exp.f64 (+.f64 (.f64 (log.f64 (fma.f64 x x -1)) 1/2) (.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1)))
(fma.f64 x x -1)
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1) (log.f64 (sqrt.f64 (fma.f64 x x -1)))))
(fma.f64 x x -1)
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1) (.f64 (log.f64 (fma.f64 x x -1)) 1/2)))
(fma.f64 x x -1)
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1) (.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1)))
(fma.f64 x x -1)
(log1p.f64 (expm1.f64 (fma.f64 x x -1)))
(fma.f64 x x -1)
(fma.f64 x x -1)
(fma.f64 (*.f64 x x) 1 -1)
(fma.f64 x x -1)
(fma.f64 1 (*.f64 x x) -1)
(fma.f64 x x -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x) -1)
(fma.f64 x x -1)
(fma.f64 (*.f64 (cbrt.f64 x) x) (pow.f64 (cbrt.f64 x) 2) -1)
(fma.f64 x x -1)
(fma.f64 (.f64 (cbrt.f64 x) x) (.f64 (pow.f64 (cbrt.f64 x) 2) 1) -1)
(fma.f64 x x -1)
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) -1)
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) -1)
(fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) -1)
(fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) -1)
(fma.f64 x x -1)
(+.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 0)
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(+.f64 0 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(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 3 (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 (-.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)))))
(+.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 3 (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 2 (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 (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))))
(-.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 (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))))
(-.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)))))
(neg.f64 (log.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 x (sqrt.f64 (fma.f64 x x -1)))))
(neg.f64 (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 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (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 (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))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1)
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -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 (-.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (neg.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (neg.f64 x) 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (-.f64 1 (*.f64 x (+.f64 x (-.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 (log.f64 -1) (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x)))
(-.f64 (log.f64 (-.f64 (fma.f64 x x -1) (*.f64 x x))) (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x)))
(-.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 -1) (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x)))
(*.f64 1 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -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)
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -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))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.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))))))
(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))))))
(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)))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(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))))) 3)
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) 1/2)
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3) 1/3)
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(pow.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))))
(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)))))
(-.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))
(log1p.f64 (+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) -1))
(log1p.f64 (+.f64 -1 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log1p.f64 (+.f64 x (+.f64 -1 (sqrt.f64 (fma.f64 x x -1)))))

eval553.0ms (10.2%)

Compiler: Compiled 3794 to 2791 computations (26.4% saved)

prune124.0ms (2.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	243	3	246
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	243	4	247

Accuracy

100.0%

Counts

247 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.6%	(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
✓	50.4%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶	98.2%	(log.f64 (+.f64 x x))
▶	49.1%	(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
▶	98.6%	(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
✓	50.4%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶	98.2%	(log.f64 (+.f64 x x))
▶	49.1%	(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))

Compiler

Compiled 76 to 54 computations (28.9% saved)

localize544.0ms (10%)

Localize:

Found 5 expressions with local error:

New	Accuracy	Program
✓	100.0%	(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
✓	99.5%	(*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3)
✓	99.2%	(cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
✓	98.2%	(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
✓	52.6%	(sqrt.f64 (fma.f64 x x -1))

Compiler

Compiled 106 to 67 computations (36.8% saved)

series36.0ms (0.7%)

Counts

5 → 60

Calls

15 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
6.0ms	x	@	inf	(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
6.0ms	x	@	0	(*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3)
5.0ms	x	@	inf	(*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3)
3.0ms	x	@	0	(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))

rewrite139.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1488×	`fma-def`
696×	`expm1-udef`
692×	`log1p-udef`
606×	`fma-neg`
420×	`add-sqr-sqrt`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	133
1	416	113
2	5475	109

Stop Event

1×	node limit

Counts

5 → 114

Calls

Call 1

Inputs
(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))
(cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3)
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))

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

simplify238.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

1160×	`fma-def`
940×	`associate-r`
838×	`associate-l`
674×	`*-commutative`
588×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	692	13548
1	2122	11080

Stop Event

1×	node limit

Counts

174 → 307

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)))))
(*.f64 (pow.f64 1 1/3) (log.f64 (sqrt.f64 -1)))
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(pow.f64 (cbrt.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)))) 1/6) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))))
(pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))) (sqrt.f64 (log.f64 (cbrt.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))
(log.f64 (exp.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(exp.f64 (log.f64 (cbrt.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))))) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(+.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (log.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(+.f64 0 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) 1)
(pow.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1)
(pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3)
(pow.f64 (pow.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2)
(sqrt.f64 (pow.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (+.f64 1 (-.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)))
(log.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) (+.f64 1 (-.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))))
(cbrt.f64 (pow.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))
(expm1.f64 (log1p.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(exp.f64 (log.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1))
(log1p.f64 (-.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1))
(+.f64 0 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 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 (log.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3))) (log.f64 (fma.f64 x x (*.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x)))))
(-.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 (exp.f64 (log1p.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 1)
(*.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)))))
(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))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.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))
(log1p.f64 (-.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 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 1/2 (/.f64 (.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 1/2 (/.f64 (.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 (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 1/2 (/.f64 (.f64 x x) (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (+.f64 (fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)))) (.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)))))
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 1/16 (/.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 (+.f64 (-.f64 x (/.f64 1/8 (pow.f64 x 3))) (/.f64 -1/2 x)) (/.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 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 (pow.f64 1 1/3) (log.f64 (sqrt.f64 -1)))
(log.f64 (sqrt.f64 -1))
(+.f64 (.f64 x (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 (sqrt.f64 -1)) 4)) 1/9) (/.f64 1 (sqrt.f64 -1)))) (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 (sqrt.f64 -1)) 4)) 1/9) (/.f64 1 (sqrt.f64 -1)))))) (.f64 (pow.f64 1 1/3) (log.f64 (sqrt.f64 -1))))
(fma.f64 x (.f64 (.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 (sqrt.f64 -1)) 4) 1/18) (pow.f64 (pow.f64 (log.f64 (sqrt.f64 -1)) 4) 1/18)) (/.f64 1 (sqrt.f64 -1))) 1) (log.f64 (sqrt.f64 -1)))
(fma.f64 x (/.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 (sqrt.f64 -1)) 4) 1/18) (pow.f64 (pow.f64 (log.f64 (sqrt.f64 -1)) 4) 1/18)) (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1)))
(+.f64 (.f64 x (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 (sqrt.f64 -1)) 4)) 1/9) (/.f64 1 (sqrt.f64 -1)))) (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 (sqrt.f64 -1)) 4)) 1/9) (/.f64 1 (sqrt.f64 -1)))))) (+.f64 (.f64 (pow.f64 1 1/3) (log.f64 (sqrt.f64 -1))) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (log.f64 (sqrt.f64 -1))) 1/9) (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (log.f64 (sqrt.f64 -1))) 1/9) (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)))) (.f64 (pow.f64 (.f64 1 (log.f64 (sqrt.f64 -1))) 1/3) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (sqrt.f64 -1)) 4)) 1/9) (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)))) (.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (sqrt.f64 -1)) 4)) 1/9) (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)))))))))))
(+.f64 (fma.f64 x (.f64 (.f64 (.f64 (pow.f64 (pow.f64 (log.f64 (sqrt.f64 -1)) 4) 1/18) (pow.f64 (pow.f64 (log.f64 (sqrt.f64 -1)) 4) 1/18)) (/.f64 1 (sqrt.f64 -1))) 1) (log.f64 (sqrt.f64 -1))) (.f64 (.f64 x x) (fma.f64 -1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 (sqrt.f64 -1))) 1/18) (pow.f64 (/.f64 1 (log.f64 (sqrt.f64 -1))) 1/18)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))) (fma.f64 2/9 (.f64 (.f64 (pow.f64 (/.f64 1 (log.f64 (sqrt.f64 -1))) 1/18) (pow.f64 (/.f64 1 (log.f64 (sqrt.f64 -1))) 1/18)) (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))) (.f64 (cbrt.f64 (log.f64 (sqrt.f64 -1))) (.f64 (.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (sqrt.f64 -1)) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (sqrt.f64 -1)) 4)) 1/18))) -1/9))))))
(fma.f64 x (/.f64 (.f64 (pow.f64 (pow.f64 (log.f64 (sqrt.f64 -1)) 4) 1/18) (pow.f64 (pow.f64 (log.f64 (sqrt.f64 -1)) 4) 1/18)) (sqrt.f64 -1)) (fma.f64 (.f64 x x) (+.f64 (.f64 (cbrt.f64 (log.f64 (sqrt.f64 -1))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 (sqrt.f64 -1)) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 (sqrt.f64 -1)) 4)) 1/18)))) (.f64 (.f64 -1 (.f64 (pow.f64 (/.f64 1 (log.f64 (sqrt.f64 -1))) 1/18) (pow.f64 (/.f64 1 (log.f64 (sqrt.f64 -1))) 1/18))) 1/9)) (log.f64 (sqrt.f64 -1))))
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(log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 0 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (*.f64 2 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))))
(log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) 1)
(+.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (*.f64 2 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))))
(log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(pow.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1)
(+.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (*.f64 2 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))))
(log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(pow.f64 (cbrt.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3)
(+.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (*.f64 2 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))))
(log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(pow.f64 (pow.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3) 1/3)
(+.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (*.f64 2 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))))
(log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(pow.f64 (sqrt.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2)
(+.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (*.f64 2 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))))
(log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(sqrt.f64 (pow.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(fabs.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (*.f64 2 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))))
(log.f64 (+.f64 1 (-.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)))
(+.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (*.f64 2 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))))
(log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) (+.f64 1 (-.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))))
(log.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) (+.f64 1 (+.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) -1))))
(fma.f64 2 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (log.f64 (+.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 0)))
(cbrt.f64 (pow.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))
(+.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (*.f64 2 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))))
(log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(expm1.f64 (log1p.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(+.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (*.f64 2 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))))
(log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (log.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(+.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (*.f64 2 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))))
(log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1))
(+.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (*.f64 2 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))))
(log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log1p.f64 (-.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1))
(+.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (*.f64 2 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))))
(log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 0 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2)) (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 3 (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 2 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.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 x x (*.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3))) (log.f64 (fma.f64 x x (*.f64 (+.f64 x (/.f64 -1/2 x)) (+.f64 x (-.f64 (/.f64 -1/2 x) x))))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3))) (log.f64 (fma.f64 x x (*.f64 (+.f64 x (/.f64 -1/2 x)) (+.f64 (/.f64 -1/2 x) 0)))))
(-.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 (*.f64 x x) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2))) (log.f64 (+.f64 (/.f64 1/2 x) 0)))
(-.f64 (log.f64 (*.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))) (/.f64 1/2 x))) (log.f64 (/.f64 1/2 x)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 1)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(*.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(*.f64 1 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(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))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(*.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)))))
(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)))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 3)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(pow.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3) 1/3)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2))
(fabs.f64 (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)))
(log1p.f64 (-.f64 (fma.f64 x 2 (/.f64 -1/2 x)) 1))
(log1p.f64 (+.f64 (fma.f64 x 2 (/.f64 -1/2 x)) -1))
(log1p.f64 (+.f64 -1 (fma.f64 x 2 (/.f64 -1/2 x))))

eval528.0ms (9.8%)

Compiler: Compiled 11903 to 10126 computations (14.9% saved)

prune39.0ms (0.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	306	1	307
Fresh	0	0	0
Picked	1	2	3
Done	0	1	1
Total	307	4	311

Accuracy

100.0%

Counts

311 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.4%	(log1p.f64 (+.f64 (sqrt.f64 (fma.f64 x x -1)) (-.f64 x 1)))
✓	98.6%	(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
✓	50.4%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	98.2%	(log.f64 (+.f64 x x))
▶	50.4%	(log1p.f64 (+.f64 (sqrt.f64 (fma.f64 x x -1)) (-.f64 x 1)))
✓	98.6%	(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
✓	50.4%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	98.2%	(log.f64 (+.f64 x x))

Compiler

Compiled 70 to 48 computations (31.4% saved)

localize54.0ms (1%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (sqrt.f64 (fma.f64 x x -1)) (-.f64 x 1))
✓	100.0%	(log1p.f64 (+.f64 (sqrt.f64 (fma.f64 x x -1)) (-.f64 x 1)))
	52.6%	(sqrt.f64 (fma.f64 x x -1))

Compiler

Compiled 36 to 24 computations (33.3% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(log1p.f64 (+.f64 (sqrt.f64 (fma.f64 x x -1)) (-.f64 x 1)))
0.0ms	x	@	inf	(log1p.f64 (+.f64 (sqrt.f64 (fma.f64 x x -1)) (-.f64 x 1)))
0.0ms	x	@	-inf	(log1p.f64 (+.f64 (sqrt.f64 (fma.f64 x x -1)) (-.f64 x 1)))
0.0ms	x	@	0	(+.f64 (sqrt.f64 (fma.f64 x x -1)) (-.f64 x 1))
0.0ms	x	@	inf	(+.f64 (sqrt.f64 (fma.f64 x x -1)) (-.f64 x 1))

rewrite82.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1790×	`prod-diff`
998×	`log-prod`
820×	`fma-def`
546×	`pow-exp`
542×	`pow-prod-up`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	54
1	250	54
2	3149	54

Stop Event

1×	node limit

Counts

2 → 106

Calls

Call 1

Inputs
(log1p.f64 (+.f64 (sqrt.f64 (fma.f64 x x -1)) (-.f64 x 1)))
(+.f64 (sqrt.f64 (fma.f64 x x -1)) (-.f64 x 1))

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

simplify84.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

848×	`distribute-lft-in`
828×	`distribute-rgt-in`
794×	`associate-+l+`
710×	`associate-+r+`
658×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	336	4716
1	850	4618
2	2504	4458

Stop Event

1×	node limit

Counts

130 → 209

Calls

Call 1

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

Outputs
(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))))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (/.f64 x (sqrt.f64 -1)) (*.f64 1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1)))))
(+.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1))) (*.f64 1/6 (/.f64 (pow.f64 x 3) (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 (sqrt.f64 -1)) (fma.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)) (fma.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)) (/.f64 x (sqrt.f64 -1)))))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1))) (fma.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)) (/.f64 x (sqrt.f64 -1)))))
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1))) (+.f64 (log.f64 (sqrt.f64 -1)) (fma.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 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (log.f64 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 2) (+.f64 (log.f64 x) (/.f64 -1/4 (*.f64 x x))))
(-.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 (log.f64 2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (-.f64 (log.f64 x) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (+.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -3/32 (pow.f64 x 4)))))
(-.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 2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4))) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (log.f64 2) (-.f64 (log.f64 x) (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4))) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (+.f64 (/.f64 -1/4 (*.f64 x x)) (+.f64 (/.f64 -3/32 (pow.f64 x 4)) (/.f64 -5/96 (pow.f64 x 6))))))
(+.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 (/.f64 1/4 (*.f64 x x)) (log.f64 (/.f64 -1 x))))
(+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))))
(+.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 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4))) (log.f64 (/.f64 -1 x))))
(+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4))) (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))))
(+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (/.f64 3/32 (pow.f64 x 4)))))
(+.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 (log.f64 -1/2) (+.f64 (+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4))) (/.f64 5/96 (pow.f64 x 6))) (log.f64 (/.f64 -1 x))))
(+.f64 (+.f64 (log.f64 -1/2) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (log.f64 (/.f64 -1 x)))) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 3/32 (pow.f64 x 4))) (+.f64 (log.f64 -1/2) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (log.f64 (/.f64 -1 x)))))
(-.f64 (sqrt.f64 -1) 1)
(+.f64 (sqrt.f64 -1) -1)
(+.f64 -1 (sqrt.f64 -1))
(-.f64 (+.f64 x (sqrt.f64 -1)) 1)
(+.f64 x (+.f64 (sqrt.f64 -1) -1))
(+.f64 -1 (+.f64 (sqrt.f64 -1) x))
(-.f64 (+.f64 x (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))) 1)
(+.f64 (+.f64 (+.f64 (sqrt.f64 -1) x) (.f64 1/2 (/.f64 (.f64 x x) (sqrt.f64 -1)))) -1)
(+.f64 -1 (+.f64 x (fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1))))
(+.f64 x (+.f64 (fma.f64 1/2 (/.f64 x (/.f64 (sqrt.f64 -1) x)) (sqrt.f64 -1)) -1))
(-.f64 (+.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)))))) 1)
(+.f64 (+.f64 (+.f64 (sqrt.f64 -1) x) (fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (.f64 1/2 (/.f64 (.f64 x x) (sqrt.f64 -1))))) -1)
(+.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 (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))) -1)))
(*.f64 2 x)
(*.f64 x 2)
(-.f64 (*.f64 2 x) 1)
(fma.f64 2 x -1)
(fma.f64 x 2 -1)
(-.f64 (.f64 2 x) (+.f64 1 (.f64 1/2 (/.f64 1 x))))
(-.f64 (fma.f64 2 x -1) (/.f64 1/2 x))
(-.f64 (fma.f64 x 2 -1) (/.f64 1/2 x))
(fma.f64 x 2 (+.f64 -1 (/.f64 -1/2 x)))
(-.f64 (.f64 2 x) (+.f64 1 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))))
(-.f64 (fma.f64 2 x -1) (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(-.f64 (fma.f64 x 2 -1) (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (-.f64 (fma.f64 x 2 -1) (/.f64 1/8 (pow.f64 x 3))) (/.f64 -1/2 x))
-1
(-.f64 (*.f64 1/2 (/.f64 1 x)) 1)
(+.f64 (/.f64 1/2 x) -1)
(+.f64 -1 (/.f64 1/2 x))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x))) 1)
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) -1))
(+.f64 -1 (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(-.f64 (+.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)))) 1)
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) -1)))
(+.f64 -1 (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5)))))
(+.f64 (+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 1/2 x)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) -1))
(+.f64 0 (log1p.f64 (+.f64 x (+.f64 -1 (sqrt.f64 (fma.f64 x x -1))))))
(log1p.f64 (+.f64 (+.f64 -1 x) (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x -1)) (+.f64 x 0)))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 (+.f64 1 (+.f64 x -1)) (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (+.f64 (+.f64 1 (+.f64 x -1)) (sqrt.f64 (fma.f64 x x -1)))))) (log.f64 (cbrt.f64 (+.f64 (+.f64 1 (+.f64 x -1)) (sqrt.f64 (fma.f64 x x -1))))))
(log1p.f64 (+.f64 (+.f64 -1 x) (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x -1)) (+.f64 x 0)))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (+.f64 1 (+.f64 x -1)) (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (+.f64 (+.f64 1 (+.f64 x -1)) (sqrt.f64 (fma.f64 x x -1))))))
(log1p.f64 (+.f64 (+.f64 -1 x) (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x -1)) (+.f64 x 0)))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
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(fma.f64 (+.f64 -1 (pow.f64 x 3)) (/.f64 1 (+.f64 x (fma.f64 x x 1))) (sqrt.f64 (fma.f64 x x -1)))
(+.f64 (sqrt.f64 (fma.f64 x x -1)) (/.f64 (+.f64 -1 (pow.f64 x 3)) (+.f64 x (fma.f64 x x 1))))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (+.f64 1 (+.f64 x -1)) (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (+.f64 (+.f64 1 (+.f64 x -1)) (sqrt.f64 (fma.f64 x x -1))))) (cbrt.f64 (+.f64 (+.f64 1 (+.f64 x -1)) (sqrt.f64 (fma.f64 x x -1)))) -1)
(+.f64 (-.f64 x 1) (sqrt.f64 (fma.f64 x x -1)))
(+.f64 x (+.f64 -1 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 (sqrt.f64 (fma.f64 x x -1)) (+.f64 -1 x))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) -1)
(+.f64 (-.f64 x 1) (sqrt.f64 (fma.f64 x x -1)))
(+.f64 x (+.f64 -1 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 (sqrt.f64 (fma.f64 x x -1)) (+.f64 -1 x))
(fma.f64 (sqrt.f64 (+.f64 (+.f64 1 (+.f64 x -1)) (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (+.f64 (+.f64 1 (+.f64 x -1)) (sqrt.f64 (fma.f64 x x -1)))) -1)
(+.f64 (-.f64 x 1) (sqrt.f64 (fma.f64 x x -1)))
(+.f64 x (+.f64 -1 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 (sqrt.f64 (fma.f64 x x -1)) (+.f64 -1 x))
(fma.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) -1)
(+.f64 (-.f64 x 1) (sqrt.f64 (fma.f64 x x -1)))
(+.f64 x (+.f64 -1 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 (sqrt.f64 (fma.f64 x x -1)) (+.f64 -1 x))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) (+.f64 x -1))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) (+.f64 -1 x))
(fma.f64 (fabs.f64 (cbrt.f64 (fma.f64 x x -1))) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) (+.f64 -1 x))
(fma.f64 (cbrt.f64 (fma.f64 x x -1)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) (+.f64 -1 x))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 1/2) (+.f64 x -1))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) (+.f64 -1 x))
(fma.f64 (fabs.f64 (cbrt.f64 (fma.f64 x x -1))) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) (+.f64 -1 x))
(fma.f64 (cbrt.f64 (fma.f64 x x -1)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) (+.f64 -1 x))
(fma.f64 (+.f64 (sqrt.f64 x) 1) (-.f64 (sqrt.f64 x) 1) (sqrt.f64 (fma.f64 x x -1)))
(+.f64 (-.f64 x 1) (sqrt.f64 (fma.f64 x x -1)))
(+.f64 x (+.f64 -1 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 (sqrt.f64 (fma.f64 x x -1)) (+.f64 -1 x))

eval183.0ms (3.4%)

Compiler: Compiled 4580 to 3486 computations (23.9% saved)

prune39.0ms (0.7%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	264	1	265
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	264	5	269

Accuracy

100.0%

Counts

269 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.4%	(log1p.f64 (+.f64 (sqrt.f64 (fma.f64 x x -1)) (-.f64 x 1)))
▶	0.6%	(log1p.f64 -1)
✓	98.6%	(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
✓	50.4%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	98.2%	(log.f64 (+.f64 x x))
✓	50.4%	(log1p.f64 (+.f64 (sqrt.f64 (fma.f64 x x -1)) (-.f64 x 1)))
▶	0.6%	(log1p.f64 -1)
✓	98.6%	(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
✓	50.4%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	98.2%	(log.f64 (+.f64 x x))

Compiler

Compiled 76 to 54 computations (28.9% saved)

localize14.0ms (0.3%)

Compiler: Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

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

prune4.0ms (0.1%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	4	4
Total	5	5

Accuracy

100.0%

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.4%	(log1p.f64 (+.f64 (sqrt.f64 (fma.f64 x x -1)) (-.f64 x 1)))
✓	0.6%	(log1p.f64 -1)
✓	98.6%	(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
✓	50.4%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	98.2%	(log.f64 (+.f64 x x))

Compiler

Compiled 85 to 60 computations (29.4% saved)

regimes15.0ms (0.3%)

Counts

6 → 1

Calls

Call 1

Inputs
(log1p.f64 -1)
(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))))
(log1p.f64 (+.f64 (sqrt.f64 (fma.f64 x x -1)) (-.f64 x 1)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))

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

Calls

3 calls:

5.0ms	x
4.0ms	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
4.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))

Results

Accuracy	Segments	Branch
98.6%	1	`x`
98.6%	1	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))`
98.6%	1	`(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))`

Compiler

Compiled 68 to 47 computations (30.9% saved)

regimes4.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

Inputs
(log1p.f64 -1)
(log.f64 (+.f64 x x))

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
98.2%	1	`x`

Compiler

Compiled 9 to 6 computations (33.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(log1p.f64 -1)

Outputs
(log1p.f64 -1)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
0.6%	1	`x`

Compiler

Compiled 5 to 4 computations (20% saved)

simplify6.0ms (0.1%)

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	13	39
1	16	39
2	22	39
3	26	39
4	29	39
5	30	39

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))
(log1p.f64 -1)

Outputs
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
(log.f64 (+.f64 x x))
(log1p.f64 -1)

Compiler

Compiled 17 to 12 computations (29.4% saved)

soundness434.0ms (8%)

Rules

1488×	`fma-def`
1160×	`fma-def`
940×	`associate-r`
940×	`fma-def`
902×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	405	4323
1	909	4095
2	2938	3949
0	10	45
1	214	45
2	2915	45
0	20	133
1	416	113
2	5475	109
0	692	13548
1	2122	11080

Stop Event

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

Compiler

Compiled 266 to 195 computations (26.7% saved)

end0.0ms (0%)

preprocess43.0ms (0.8%)

Compiler: Compiled 76 to 54 computations (28.9% saved)

analyze0.0ms (0%)

sample1.4s (25.3%)

preprocess328.0ms (6.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize88.0ms (1.6%)

series4.0ms (0.1%)

rewrite181.0ms (3.3%)

simplify275.0ms (5.1%)

eval553.0ms (10.2%)

prune124.0ms (2.3%)

localize544.0ms (10%)

series36.0ms (0.7%)

rewrite139.0ms (2.6%)

simplify238.0ms (4.4%)

eval528.0ms (9.8%)

prune39.0ms (0.7%)

localize54.0ms (1%)

series1.0ms (0%)

rewrite82.0ms (1.5%)

simplify84.0ms (1.5%)

eval183.0ms (3.4%)

prune39.0ms (0.7%)

localize14.0ms (0.3%)

eval0.0ms (0%)

prune4.0ms (0.1%)

regimes15.0ms (0.3%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

simplify6.0ms (0.1%)

soundness434.0ms (8%)

end0.0ms (0%)

preprocess43.0ms (0.8%)

Profiling