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)

sample817.0ms (29.1%)

Results

805.0ms

8256×

body

256

valid

Bogosity

preprocess250.0ms (8.9%)

Algorithm

1×	egg-herbie

Rules

1134×	`fma-def`
1022×	`sub-neg`
986×	`unsub-neg`
814×	`distribute-neg-in`
774×	`distribute-rgt-out`

Problems

131×	`(sqrt.f64 (-.f64 (*.f64 x x) 1))`
125×	No Errors

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	68
1	31	68
2	39	68
3	57	68
4	100	68
5	186	68
6	512	68
7	1220	68
8	3014	68
9	4397	68
10	5509	68
11	5965	68
12	6168	68
13	6242	68
14	6321	68
15	7024	68
16	7847	68

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))
(neg.f64 (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))
(neg.f64 (acosh.f64 (neg.f64 x)))

Compiler

Compiled 45 to 25 computations (44.4% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

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)

localize44.0ms (1.6%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	52.3%	(sqrt.f64 (-.f64 (*.f64 x x) 1))

Compiler

Compiled 35 to 18 computations (48.6% saved)

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite116.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1018×	`unpow-prod-down`
922×	`fma-def`
694×	`log1p-expm1-u`
694×	`expm1-log1p-u`
622×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	51
1	152	51
2	2059	51

Stop Event

1×	node limit

Counts

2 → 116

Calls

Call 1

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

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

simplify81.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

584×	`log-prod`
550×	`distribute-rgt-in`
546×	`distribute-lft-in`
522×	`sqr-pow`
508×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	407	5894
1	976	5725
2	3152	5387

Stop Event

1×	node limit

Counts

140 → 222

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)))))
(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 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1)))))) (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 (sqrt.f64 (fma.f64 x x -1)) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) 2))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (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 (pow.f64 (+.f64 x 1) 1/2) (pow.f64 (+.f64 x -1) 1/2))
(*.f64 (pow.f64 (+.f64 x -1) 1/2) (pow.f64 (+.f64 x 1) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 1/2) (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/2))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 1) (pow.f64 (sqrt.f64 (+.f64 x -1)) 1))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) 2) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) 3) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/2) (pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 1/2))
(*.f64 (pow.f64 (+.f64 (pow.f64 x 6) -1) 1/2) (pow.f64 (/.f64 1 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))) 1/2))
(*.f64 (pow.f64 (+.f64 (pow.f64 x 4) -1) 1/2) (pow.f64 (/.f64 1 (fma.f64 x x 1)) 1/2))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 5/6) 1/2) (pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 1/2))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/2) 1) (pow.f64 (pow.f64 (+.f64 x -1) 1/2) 1))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) 1) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) 1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) 3) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) 3))
(.f64 (pow.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6))) 3) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) 1/3) (pow.f64 (pow.f64 (fma.f64 x x -1) 5/6) 1/3))
(.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 (.f64 (+.f64 x -1) (sqrt.f64 (fma.f64 x x -1))) 1/3))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/3) (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3/2)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3/2)) 1/3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 4) 1/3) (pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 1/3))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 5/4) 1/3) (pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) 2) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) 2))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (hypot.f64 1 x))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) -1)) (hypot.f64 (pow.f64 x 2) (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 (cbrt.f64 (fma.f64 x x -1)) 3/2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 3)
(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) 3/2) 1/3)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 2)
(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 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 3) 1/3))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (fma.f64 x x -1))) 1/3))
(exp.f64 (.f64 (.f64 1/4 (log.f64 (fma.f64 x x -1))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x 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 (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 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1))) (log.f64 (/.f64 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 (pow.f64 x 2) (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 (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 (pow.f64 x 2) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -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 (neg.f64 (-.f64 (pow.f64 x 2) (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) (pow.f64 x 2))) (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 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (log.f64 (exp.f64 1)))
(*.f64 2 (log.f64 (sqrt.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))
(*.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 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))
(*.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 3 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(.f64 1/3 (.f64 3 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (pow.f64 1 1/3) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3/2) 1/3) (pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2) 1/3) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1/3))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 5/2) 1/3) (pow.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2) (pow.f64 (sqrt.f64 (sqrt.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)
(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 (pow.f64 x 2) (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 (log.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)) 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))))
(fma.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (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 (pow.f64 x 2) (sqrt.f64 -1)))))
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(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))
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(log1p.f64 (+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) -1))
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eval97.0ms (3.5%)

Compiler: Compiled 3852 to 2931 computations (23.9% saved)

prune33.0ms (1.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	218	4	222
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	218	5	223

Accuracy

100.0%

Counts

223 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.3%	(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
▶	50.4%	(log.f64 (+.f64 x (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2)))
▶	99.3%	(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
✓	50.4%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶	99.1%	(log.f64 (+.f64 x x))
▶	50.3%	(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
▶	50.4%	(log.f64 (+.f64 x (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2)))
▶	99.3%	(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
✓	50.4%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶	99.1%	(log.f64 (+.f64 x x))

Compiler

Compiled 94 to 66 computations (29.8% saved)

localize192.0ms (6.8%)

Localize:

Found 7 expressions with local error:

New	Accuracy	Program
✓	100.0%	(log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
✓	99.6%	(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
✓	99.2%	(cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
✓	52.3%	(sqrt.f64 (fma.f64 x x -1))
✓	100.0%	(log.f64 (+.f64 x (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2)))
✓	99.4%	(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2)
✓	50.8%	(cbrt.f64 (fma.f64 x x -1))

Compiler

Compiled 120 to 74 computations (38.3% saved)

series13.0ms (0.5%)

Counts

7 → 38

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2)
1.0ms	x	@	0	(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
1.0ms	x	@	0	(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2)
1.0ms	x	@	0	(cbrt.f64 (fma.f64 x x -1))
1.0ms	x	@	0	(cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))

rewrite94.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1422×	`prod-diff`
758×	`log-prod`
755×	`log1p-expm1-u`
754×	`expm1-log1p-u`
584×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	213
1	239	189
2	3071	189

Stop Event

1×	node limit

Counts

7 → 190

Calls

Call 1

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

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

simplify191.0ms (6.8%)

Algorithm

1×	egg-herbie

Rules

1376×	`unswap-sqr`
562×	`times-frac`
544×	`fma-def`
514×	`log-prod`
494×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	481	13112
1	1095	10450
2	3913	9729

Stop Event

1×	node limit

Counts

228 → 291

Calls

Call 1

Inputs
(cbrt.f64 -1)
(+.f64 (cbrt.f64 -1) (*.f64 1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2))))
(+.f64 (cbrt.f64 -1) (+.f64 (.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5))) (.f64 1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2)))))
(+.f64 (cbrt.f64 -1) (+.f64 (.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5))) (+.f64 (.f64 5/81 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 8))) (*.f64 1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2))))))
(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 (pow.f64 x 2) (sqrt.f64 -1))) (.f64 (pow.f64 x 4) (.f64 (sqrt.f64 -1) (-.f64 1/8 (*.f64 1/4 (/.f64 1 (pow.f64 (cbrt.f64 -1) 6))))))))
(+.f64 (sqrt.f64 -1) (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sqrt.f64 -1))) (+.f64 (.f64 (pow.f64 x 4) (.f64 (sqrt.f64 -1) (-.f64 1/8 (.f64 1/4 (/.f64 1 (pow.f64 (cbrt.f64 -1) 6)))))) (.f64 (pow.f64 x 6) (.f64 (sqrt.f64 -1) (-.f64 (+.f64 (.f64 1/480 (-.f64 (.f64 640/9 (/.f64 1 (pow.f64 (cbrt.f64 -1) 9))) (.f64 80/9 (/.f64 1 (pow.f64 (cbrt.f64 -1) 6))))) (*.f64 1/8 (/.f64 1 (pow.f64 (cbrt.f64 -1) 6)))) 1/48))))))
(log.f64 (pow.f64 (cbrt.f64 -1) 3/2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 3/2)) (*.f64 x (sqrt.f64 -1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 3/2)) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (+.f64 1 (.f64 -1 (pow.f64 (sqrt.f64 -1) 2))))) (.f64 x (sqrt.f64 -1))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 3/2)) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (+.f64 (.f64 -3 (sqrt.f64 -1)) (.f64 2 (sqrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 9))))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (+.f64 1 (.f64 -1 (pow.f64 (sqrt.f64 -1) 2))))) (.f64 x (sqrt.f64 -1)))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(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)))))
(pow.f64 (sqrt.f64 -1) 1/3)
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/9) x)) (pow.f64 (sqrt.f64 -1) 1/3))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/9) x)) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/3) (.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (*.f64 1/3 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9)))))) (pow.f64 (sqrt.f64 -1) 1/3)))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/3) (.f64 (pow.f64 x 3) (+.f64 (.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/3)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/9) (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (.f64 1/3 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9))))))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/9) x)) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/3) (.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (*.f64 1/3 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9)))))) (pow.f64 (sqrt.f64 -1) 1/3))))
(*.f64 3 (log.f64 (pow.f64 (sqrt.f64 -1) 1/3)))
(+.f64 (.f64 3 (log.f64 (pow.f64 (sqrt.f64 -1) 1/3))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/9) x))
(+.f64 (.f64 3/2 (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 10)) 1/9)) (.f64 2/3 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (.f64 1/3 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9))) (sqrt.f64 -1)))))) (+.f64 (.f64 3 (log.f64 (pow.f64 (sqrt.f64 -1) 1/3))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/9) x)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 x 3) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/3)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/9) (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (.f64 1/3 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9)))))) (sqrt.f64 -1))) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 14)) 1/9) (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (.f64 1/3 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9))))) (.f64 2/27 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/3)))))) (+.f64 (.f64 3/2 (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 10)) 1/9)) (.f64 2/3 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (.f64 1/3 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9))) (sqrt.f64 -1)))))) (+.f64 (.f64 3 (log.f64 (pow.f64 (sqrt.f64 -1) 1/3))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/9) x))))
(log.f64 (pow.f64 (sqrt.f64 -1) 1/3))
(+.f64 (log.f64 (pow.f64 (sqrt.f64 -1) 1/3)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/9) x)))
(+.f64 (log.f64 (pow.f64 (sqrt.f64 -1) 1/3)) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/9) x)) (.f64 1/2 (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 10)) 1/9)) (.f64 2/3 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (.f64 1/3 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9))) (sqrt.f64 -1))))))))
(+.f64 (log.f64 (pow.f64 (sqrt.f64 -1) 1/3)) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/3)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/9) (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (.f64 1/3 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9)))))) (sqrt.f64 -1))) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 14)) 1/9) (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (.f64 1/3 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9))))) (.f64 2/27 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/3)))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/9) x)) (.f64 1/2 (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 10)) 1/9)) (.f64 2/3 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (*.f64 1/3 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9))) (sqrt.f64 -1)))))))))
(+.f64 0 (cbrt.f64 (fma.f64 x x -1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (exp.f64 (cbrt.f64 (fma.f64 x x -1)))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (fma.f64 x x -1))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 (cbrt.f64 (fma.f64 x x -1)) 1)
(*.f64 1 (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2))) (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (pow.f64 (fma.f64 x x -1) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2)) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(pow.f64 (fma.f64 x x -1) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) 3)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 2)
(sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 2)))
(log.f64 (exp.f64 (cbrt.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 x x -1)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 x x -1))))
(exp.f64 (log.f64 (cbrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x x -1))) 1))
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(+.f64 (log.f64 (pow.f64 1 1/3)) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) 1/3)) (log.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(+.f64 (log.f64 (pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1/3)) (log.f64 (pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1/3)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) 1)
(*.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1)
(*.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1/3)
(*.f64 1/3 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 1 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2) (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(*.f64 (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1)
(pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3)
(pow.f64 (pow.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2)
(sqrt.f64 (pow.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))
(expm1.f64 (log1p.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(exp.f64 (log.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1))
(log1p.f64 (-.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1))

Outputs
(cbrt.f64 -1)
(+.f64 (cbrt.f64 -1) (*.f64 1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2))))
(fma.f64 1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 -1))
(+.f64 (cbrt.f64 -1) (+.f64 (.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5))) (.f64 1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2)))))
(+.f64 (cbrt.f64 -1) (fma.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5)) (*.f64 1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2)))))
(+.f64 (cbrt.f64 -1) (fma.f64 1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2)) (/.f64 -1/9 (/.f64 (pow.f64 (cbrt.f64 -1) 5) (pow.f64 x 4)))))
(+.f64 (fma.f64 1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 -1)) (/.f64 -1/9 (/.f64 (pow.f64 (cbrt.f64 -1) 5) (pow.f64 x 4))))
(+.f64 (cbrt.f64 -1) (+.f64 (.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5))) (+.f64 (.f64 5/81 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 8))) (*.f64 1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2))))))
(+.f64 (cbrt.f64 -1) (fma.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5)) (fma.f64 5/81 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 8)) (*.f64 1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2))))))
(+.f64 (cbrt.f64 -1) (fma.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5)) (fma.f64 1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2)) (*.f64 5/81 (/.f64 (pow.f64 x 6) (pow.f64 (cbrt.f64 -1) 8))))))
(+.f64 (cbrt.f64 -1) (fma.f64 -1/9 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1) 5)) (fma.f64 1/3 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1) 2)) (/.f64 (*.f64 5/81 (pow.f64 x 6)) (pow.f64 (cbrt.f64 -1) 8)))))
(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 (pow.f64 x 2)) (sqrt.f64 -1)))
(.f64 (+.f64 (.f64 (pow.f64 x 2) -1/2) 1) (sqrt.f64 -1))
(fma.f64 -1/2 (*.f64 (pow.f64 x 2) (sqrt.f64 -1)) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sqrt.f64 -1))) (.f64 (pow.f64 x 4) (.f64 (sqrt.f64 -1) (-.f64 1/8 (*.f64 1/4 (/.f64 1 (pow.f64 (cbrt.f64 -1) 6))))))))
(+.f64 (sqrt.f64 -1) (fma.f64 -1/2 (.f64 (pow.f64 x 2) (sqrt.f64 -1)) (.f64 (pow.f64 x 4) (*.f64 (sqrt.f64 -1) (-.f64 1/8 (/.f64 1/4 (pow.f64 (cbrt.f64 -1) 6)))))))
(+.f64 (sqrt.f64 -1) (fma.f64 (pow.f64 x 4) (.f64 (sqrt.f64 -1) -1/8) (.f64 (pow.f64 x 2) (*.f64 (sqrt.f64 -1) -1/2))))
(+.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -1) (+.f64 (.f64 (pow.f64 x 2) -1/2) (*.f64 (pow.f64 x 4) -1/8))))
(+.f64 (sqrt.f64 -1) (+.f64 (.f64 -1/2 (.f64 (pow.f64 x 2) (sqrt.f64 -1))) (+.f64 (.f64 (pow.f64 x 4) (.f64 (sqrt.f64 -1) (-.f64 1/8 (.f64 1/4 (/.f64 1 (pow.f64 (cbrt.f64 -1) 6)))))) (.f64 (pow.f64 x 6) (.f64 (sqrt.f64 -1) (-.f64 (+.f64 (.f64 1/480 (-.f64 (.f64 640/9 (/.f64 1 (pow.f64 (cbrt.f64 -1) 9))) (.f64 80/9 (/.f64 1 (pow.f64 (cbrt.f64 -1) 6))))) (*.f64 1/8 (/.f64 1 (pow.f64 (cbrt.f64 -1) 6)))) 1/48))))))
(+.f64 (sqrt.f64 -1) (fma.f64 -1/2 (.f64 (pow.f64 x 2) (sqrt.f64 -1)) (fma.f64 (pow.f64 x 4) (.f64 (sqrt.f64 -1) (-.f64 1/8 (/.f64 1/4 (pow.f64 (cbrt.f64 -1) 6)))) (.f64 (.f64 (pow.f64 x 6) (sqrt.f64 -1)) (+.f64 (fma.f64 1/480 (-.f64 (/.f64 640/9 (pow.f64 (cbrt.f64 -1) 9)) (/.f64 80/9 (pow.f64 (cbrt.f64 -1) 6))) (/.f64 1/8 (pow.f64 (cbrt.f64 -1) 6))) -1/48)))))
(+.f64 (sqrt.f64 -1) (fma.f64 -1/2 (.f64 (pow.f64 x 2) (sqrt.f64 -1)) (fma.f64 (pow.f64 x 4) (.f64 (sqrt.f64 -1) -1/8) (.f64 (pow.f64 x 6) (.f64 (sqrt.f64 -1) (fma.f64 1/480 (+.f64 (/.f64 640/9 (pow.f64 (cbrt.f64 -1) 9)) -80/9) 5/48))))))
(+.f64 (fma.f64 -1/2 (.f64 (pow.f64 x 2) (sqrt.f64 -1)) (sqrt.f64 -1)) (.f64 (sqrt.f64 -1) (+.f64 (.f64 (pow.f64 x 4) -1/8) (.f64 (fma.f64 1/480 (+.f64 (/.f64 640/9 (pow.f64 (cbrt.f64 -1) 9)) -80/9) 5/48) (pow.f64 x 6)))))
(log.f64 (pow.f64 (cbrt.f64 -1) 3/2))
(*.f64 3/2 (log.f64 (cbrt.f64 -1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 3/2)) (*.f64 x (sqrt.f64 -1)))
(+.f64 (.f64 3/2 (log.f64 (cbrt.f64 -1))) (.f64 x (sqrt.f64 -1)))
(fma.f64 x (sqrt.f64 -1) (*.f64 3/2 (log.f64 (cbrt.f64 -1))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 3/2)) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (+.f64 1 (.f64 -1 (pow.f64 (sqrt.f64 -1) 2))))) (.f64 x (sqrt.f64 -1))))
(+.f64 (.f64 3/2 (log.f64 (cbrt.f64 -1))) (fma.f64 1/2 (.f64 (pow.f64 x 2) (+.f64 1 (neg.f64 (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 x (sqrt.f64 -1))))
(fma.f64 3/2 (log.f64 (cbrt.f64 -1)) (fma.f64 x (sqrt.f64 -1) (pow.f64 x 2)))
(fma.f64 3/2 (log.f64 (cbrt.f64 -1)) (*.f64 x (+.f64 x (sqrt.f64 -1))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 3/2)) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (+.f64 (.f64 -3 (sqrt.f64 -1)) (.f64 2 (sqrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 9))))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (+.f64 1 (.f64 -1 (pow.f64 (sqrt.f64 -1) 2))))) (.f64 x (sqrt.f64 -1)))))
(+.f64 (.f64 3/2 (log.f64 (cbrt.f64 -1))) (fma.f64 1/6 (.f64 (pow.f64 x 3) (fma.f64 -3 (sqrt.f64 -1) (.f64 2 (sqrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 9)))))) (fma.f64 1/2 (.f64 (pow.f64 x 2) (+.f64 1 (neg.f64 (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 x (sqrt.f64 -1)))))
(fma.f64 3/2 (log.f64 (cbrt.f64 -1)) (fma.f64 1/6 (.f64 (pow.f64 x 3) (fma.f64 2 (sqrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 9))) (.f64 (sqrt.f64 -1) -3))) (fma.f64 x (sqrt.f64 -1) (pow.f64 x 2))))
(fma.f64 3/2 (log.f64 (cbrt.f64 -1)) (fma.f64 1/6 (.f64 (pow.f64 x 3) (fma.f64 2 (sqrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 9))) (.f64 (sqrt.f64 -1) -3))) (*.f64 x (+.f64 x (sqrt.f64 -1)))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(fma.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (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 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)))))
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (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 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))))))
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))) (fma.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)) (/.f64 1/2 (/.f64 (sqrt.f64 -1) (pow.f64 x 2))))))
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 (+.f64 x (/.f64 -1/2 x)) (/.f64 -1/8 (pow.f64 x 3)))
(-.f64 x (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))))
(-.f64 x (+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/16 (pow.f64 x 5))))
(-.f64 (-.f64 (-.f64 x (/.f64 1/16 (pow.f64 x 5))) (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 x (+.f64 (+.f64 (/.f64 -1/2 x) (/.f64 -1/8 (pow.f64 x 3))) (/.f64 -1/16 (pow.f64 x 5))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (.f64 -1 x) (.f64 1/2 (/.f64 1 x)))
(fma.f64 -1 x (/.f64 1/2 x))
(-.f64 (/.f64 1/2 x) x)
(+.f64 (.f64 -1 x) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(fma.f64 -1 x (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 1/2 x) x))
(+.f64 (/.f64 1/2 x) (-.f64 (/.f64 1/8 (pow.f64 x 3)) x))
(+.f64 (.f64 -1 x) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))))
(fma.f64 -1 x (+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 1/2 x) x)))
(+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))) (-.f64 (/.f64 1/16 (pow.f64 x 5)) x))
(pow.f64 (sqrt.f64 -1) 1/3)
(cbrt.f64 (sqrt.f64 -1))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/9) x)) (pow.f64 (sqrt.f64 -1) 1/3))
(fma.f64 1/3 (.f64 x (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/18))) (cbrt.f64 (sqrt.f64 -1)))
(fma.f64 1/3 (.f64 x (.f64 (pow.f64 -1 1/18) (pow.f64 -1 1/18))) (cbrt.f64 (sqrt.f64 -1)))
(fma.f64 1/3 (.f64 (pow.f64 -1 1/18) (.f64 (pow.f64 -1 1/18) x)) (cbrt.f64 (sqrt.f64 -1)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/9) x)) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/3) (.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (*.f64 1/3 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9)))))) (pow.f64 (sqrt.f64 -1) 1/3)))
(fma.f64 1/3 (.f64 x (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/18))) (fma.f64 1/3 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))) (pow.f64 x 2)) (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18))))) (cbrt.f64 (sqrt.f64 -1))))
(fma.f64 1/3 (.f64 x (.f64 (pow.f64 -1 1/18) (pow.f64 -1 1/18))) (fma.f64 1/3 (.f64 (cbrt.f64 -1) (.f64 (pow.f64 x 2) (-.f64 (/.f64 1/2 (sqrt.f64 -1)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18)))))) (cbrt.f64 (sqrt.f64 -1))))
(fma.f64 1/3 (.f64 (pow.f64 -1 1/18) (.f64 (pow.f64 -1 1/18) x)) (fma.f64 1/3 (.f64 (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (.f64 (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18)) -1/3)) (.f64 (cbrt.f64 -1) (pow.f64 x 2))) (cbrt.f64 (sqrt.f64 -1))))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/3) (.f64 (pow.f64 x 3) (+.f64 (.f64 1/27 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/3)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/9) (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (.f64 1/3 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9))))))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/9) x)) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/3) (.f64 (pow.f64 x 2) (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (*.f64 1/3 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/9)))))) (pow.f64 (sqrt.f64 -1) 1/3))))
(fma.f64 -1/3 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))) (pow.f64 x 3)) (fma.f64 1/27 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))) (.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) 1/18))) (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18))))))) (fma.f64 1/3 (.f64 x (.f64 (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)) 1/18))) (fma.f64 1/3 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))) (pow.f64 x 2)) (+.f64 (/.f64 1/2 (sqrt.f64 -1)) (.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18) (pow.f64 (/.f64 1 (sqrt.f64 -1)) 1/18))))) (cbrt.f64 (sqrt.f64 -1)))))
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(log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(pow.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1)
(log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3)
(log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(pow.f64 (pow.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3) 1/3)
(log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(pow.f64 (sqrt.f64 (log.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)))))
(sqrt.f64 (pow.f64 (log.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)))))
(cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))
(log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(expm1.f64 (log1p.f64 (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)))))
(exp.f64 (log.f64 (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)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1))
(log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log1p.f64 (-.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1))
(log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))

eval236.0ms (8.4%)

Compiler: Compiled 7394 to 6374 computations (13.8% saved)

prune80.0ms (2.8%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	290	1	291
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	290	6	296

Accuracy

100.0%

Counts

296 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.3%	(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
✓	50.4%	(log.f64 (+.f64 x (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2)))
✓	99.3%	(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
✓	50.4%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	99.1%	(log.f64 (+.f64 x x))
▶	31.4%	(log.f64 x)
✓	50.3%	(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
✓	50.4%	(log.f64 (+.f64 x (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2)))
✓	99.3%	(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
✓	50.4%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	99.1%	(log.f64 (+.f64 x x))
▶	31.4%	(log.f64 x)

Compiler

Compiled 100 to 70 computations (30% saved)

localize17.0ms (0.6%)

Compiler: Compiled 5 to 3 computations (40% saved)

eval0.0ms (0%)

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

prune4.0ms (0.1%)

Pruning

6 alts after pruning (0 fresh and 6 done)

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

Accuracy

100.0%

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.3%	(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
✓	50.4%	(log.f64 (+.f64 x (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2)))
✓	99.3%	(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
✓	50.4%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	99.1%	(log.f64 (+.f64 x x))
✓	31.4%	(log.f64 x)

Compiler

Compiled 95 to 65 computations (31.6% saved)

regimes69.0ms (2.5%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

59.0ms	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
4.0ms	x
4.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))

Results

Accuracy	Segments	Branch
99.3%	1	`x`
99.3%	1	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))`
99.3%	1	`(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))`

Compiler

Compiled 66 to 44 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.1%	1	`x`

Compiler

Compiled 9 to 5 computations (44.4% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(log.f64 x)

Outputs
(log.f64 x)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
31.4%	1	`x`

Compiler

Compiled 5 to 3 computations (40% saved)

simplify3.0ms (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	14	57
1	17	57
2	24	57
3	28	57
4	31	57
5	32	57

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))
(log.f64 x)

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

Compiler

Compiled 17 to 11 computations (35.3% saved)

soundness374.0ms (13.3%)

Rules

1376×	`unswap-sqr`
1018×	`unpow-prod-down`
922×	`fma-def`
694×	`log1p-expm1-u`
694×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	407	5894
1	976	5725
2	3152	5387
0	12	51
1	152	51
2	2059	51
0	481	13112
1	1095	10450
2	3913	9729

Stop Event

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

Compiler

Compiled 153 to 105 computations (31.4% saved)

end0.0ms (0%)

preprocess87.0ms (3.1%)

Compiler: Compiled 76 to 52 computations (31.6% saved)

analyze0.0ms (0%)

sample817.0ms (29.1%)

preprocess250.0ms (8.9%)

eval0.0ms (0%)

prune1.0ms (0%)

localize44.0ms (1.6%)

series3.0ms (0.1%)

rewrite116.0ms (4.1%)

simplify81.0ms (2.9%)

eval97.0ms (3.5%)

prune33.0ms (1.2%)

localize192.0ms (6.8%)

series13.0ms (0.5%)

rewrite94.0ms (3.3%)

simplify191.0ms (6.8%)

eval236.0ms (8.4%)

prune80.0ms (2.8%)

localize17.0ms (0.6%)

eval0.0ms (0%)

prune4.0ms (0.1%)

regimes69.0ms (2.5%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

simplify3.0ms (0.1%)

soundness374.0ms (13.3%)

end0.0ms (0%)

preprocess87.0ms (3.1%)

Profiling