Metrics for Hyperbolic arc-cosine

analyze141.0ms (4.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	100%	0%	0%	0%	0%	3
16.7%	12.5%	62.5%	0%	0%	25%	0%	4
30%	18.7%	43.7%	0%	0%	37.5%	0%	5
38.9%	21.9%	34.4%	0%	0%	43.7%	0%	6
44.1%	23.4%	29.7%	0%	0%	46.9%	0%	7
47%	24.2%	27.3%	0%	0%	48.4%	0%	8
48.5%	24.6%	26.2%	0%	0%	49.2%	0%	9
49.2%	24.8%	25.6%	0%	0%	49.6%	0%	10
49.6%	24.9%	25.3%	0%	0%	49.8%	0%	11
49.8%	24.9%	25.1%	0%	0%	49.9%	0%	12

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample1.8s (54%)

Results

1.0s	8256×	body	256	valid
818.0ms	8491×	body	256	invalid

Bogosity

preprocess262.0ms (7.7%)

Algorithm

1×	egg-herbie

Rules

1468×	`fma-def`
1306×	`distribute-lft-out`
1142×	`distribute-rgt-out--`
1104×	`unsub-neg`
942×	`sub-neg`

Problems

134×	`(sqrt.f64 (-.f64 (*.f64 x x) 1))`
122×	No Errors

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	140
1	45	132
2	80	132
3	176	132
4	413	132
5	927	132
6	1717	132
7	3268	132
8	4304	132
9	4964	132
10	5266	132
11	5551	132
12	5698	132
13	5771	132
14	5982	132
15	6749	132
16	7234	132

Stop Event

1×	node limit

Calls

Call 1

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

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

Compiler

Compiled 45 to 25 computations (44.4% saved)

eval0.0ms (0%)

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

prune4.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.3%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶	49.3%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))

Compiler

Compiled 20 to 14 computations (30% saved)

localize50.0ms (1.5%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 x x) 1)
✓	100.0%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	51.2%	(sqrt.f64 (-.f64 (*.f64 x x) 1))

Compiler

Compiled 35 to 18 computations (48.6% saved)

series9.0ms (0.3%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
2.0ms	x	@	inf	(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))

rewrite140.0ms (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	66
1	152	66
2	2059	66

Stop Event

1×	node limit

Counts

3 → 196

Calls

Call 1

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

simplify104.0ms (3%)

Algorithm

1×	egg-herbie

Rules

906×	`log-prod`
806×	`fma-neg`
774×	`associate-r`
730×	`associate-l`
564×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	564	8125
1	1336	7866
2	4920	7836

Stop Event

1×	node limit

Counts

232 → 312

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

eval120.0ms (3.5%)

Compiler: Compiled 5187 to 3911 computations (24.6% saved)

prune48.0ms (1.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	309	3	312
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	309	4	313

Accuracy

100.0%

Counts

313 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
▶	100.0%	(log.f64 (+.f64 x (*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)))))
✓	49.3%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶	99.1%	(log.f64 (+.f64 x x))
▶	99.7%	(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
▶	100.0%	(log.f64 (+.f64 x (*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)))))
✓	49.3%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶	99.1%	(log.f64 (+.f64 x x))

Compiler

Compiled 74 to 52 computations (29.7% saved)

localize127.0ms (3.7%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 x (-.f64 x (/.f64 1/2 x)))
✓	100.0%	(log.f64 (+.f64 x (*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)))))
✓	99.2%	(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)))

Compiler

Compiled 84 to 55 computations (34.5% saved)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(log.f64 (+.f64 x (*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)))))
1.0ms	x	@	-inf	(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)))
0.0ms	x	@	0	(+.f64 x (-.f64 x (/.f64 1/2 x)))
0.0ms	x	@	inf	(+.f64 x (-.f64 x (/.f64 1/2 x)))
0.0ms	x	@	0	(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)))

rewrite95.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

983×	`log1p-expm1-u`
788×	`expm1-log1p-u`
468×	`expm1-udef`
468×	`log1p-udef`
178×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	99
1	283	76
2	4283	76

Stop Event

1×	node limit

Counts

3 → 74

Calls

Call 1

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

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

simplify68.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1550×	`times-frac`
658×	`distribute-rgt-in`
632×	`distribute-lft-in`
632×	`unswap-sqr`
608×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	316	4679
1	816	3862
2	2856	3791

Stop Event

1×	node limit

Counts

110 → 160

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 (.f64 x (pow.f64 (sqrt.f64 -1) 2)))
(-.f64 (.f64 -1 (.f64 x (pow.f64 (sqrt.f64 -1) 2))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -1 (.f64 x (pow.f64 (sqrt.f64 -1) 2))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 2))))) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -1 (.f64 x (pow.f64 (sqrt.f64 -1) 2))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 2))))) (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 4)))) (*.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 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1)) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1))))))
(+.f64 (log.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 -1/24 (/.f64 (+.f64 (.f64 3 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1)))) (.f64 3 (/.f64 1 (pow.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1) 2)))) (pow.f64 x 4))) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1)))))))
(+.f64 (log.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 -1/24 (/.f64 (+.f64 (.f64 3 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1)))) (.f64 3 (/.f64 1 (pow.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1) 2)))) (pow.f64 x 4))) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 30 (/.f64 1 (pow.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1) 3))) (+.f64 (.f64 45 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 4) (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1)))) (.f64 45 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1) 2)))))) (pow.f64 x 6))) (.f64 1/2 (/.f64 1 (*.f64 (pow.f64 x 2) (-.f64 (pow.f64 (sqrt.f64 -1) 2) 1))))))))
(/.f64 -1/2 x)
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(*.f64 2 x)
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(*.f64 2 x)
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 1)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) 3)
(pow.f64 (fma.f64 x x -1) 1/2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x -1))) 2)
(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 (sqrt.f64 (fma.f64 x x -1))) 1))
(log1p.f64 (expm1.f64 (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 (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 (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 (fma.f64 x x (-.f64 (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 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))))))
(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 x (-.f64 (/.f64 1/2 x) x))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 x 2) (/.f64 -1/2 x)))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 (-.f64 x x) (/.f64 1/2 x))) (/.f64 (pow.f64 (-.f64 x (/.f64 1/2 x)) 2) (+.f64 (-.f64 x x) (/.f64 1/2 x))))
(.f64 1 (+.f64 (.f64 x 2) (/.f64 -1/2 x)))
(.f64 (+.f64 (.f64 x 2) (/.f64 -1/2 x)) 1)
(.f64 (cbrt.f64 (+.f64 (.f64 x 2) (/.f64 -1/2 x))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 x 2) (/.f64 -1/2 x))) 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 x 2) (/.f64 -1/2 x))) 2) (cbrt.f64 (+.f64 (*.f64 x 2) (/.f64 -1/2 x))))
(.f64 (sqrt.f64 (+.f64 (.f64 x 2) (/.f64 -1/2 x))) (sqrt.f64 (+.f64 (*.f64 x 2) (/.f64 -1/2 x))))
(.f64 (+.f64 (pow.f64 (-.f64 x (/.f64 1/2 x)) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (.f64 (-.f64 x (/.f64 1/2 x)) (-.f64 (-.f64 x (/.f64 1/2 x)) x)))))
(*.f64 (-.f64 (pow.f64 x 2) (pow.f64 (-.f64 x (/.f64 1/2 x)) 2)) (/.f64 1 (+.f64 (-.f64 x x) (/.f64 1/2 x))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (-.f64 x (/.f64 1/2 x)) (-.f64 (-.f64 x (/.f64 1/2 x)) x))) (+.f64 (pow.f64 (-.f64 x (/.f64 1/2 x)) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 (-.f64 x x) (/.f64 1/2 x)) (-.f64 (pow.f64 x 2) (pow.f64 (-.f64 x (/.f64 1/2 x)) 2))))
(/.f64 (+.f64 (pow.f64 (-.f64 x (/.f64 1/2 x)) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (-.f64 x (/.f64 1/2 x)) (-.f64 (-.f64 x (/.f64 1/2 x)) x))))
(/.f64 (+.f64 (pow.f64 (-.f64 x (/.f64 1/2 x)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (-.f64 x (/.f64 1/2 x)) 2) (-.f64 (pow.f64 x 2) (*.f64 x (-.f64 x (/.f64 1/2 x))))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (-.f64 x (/.f64 1/2 x)) 2)) (+.f64 (-.f64 x x) (/.f64 1/2 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 x (/.f64 1/2 x)) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (*.f64 (-.f64 x (/.f64 1/2 x)) (-.f64 (-.f64 x (/.f64 1/2 x)) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (pow.f64 (-.f64 x (/.f64 1/2 x)) 2))) (neg.f64 (+.f64 (-.f64 x x) (/.f64 1/2 x))))
(/.f64 (-.f64 (pow.f64 (.f64 x 2) 3) (/.f64 1/8 (pow.f64 x 3))) (+.f64 (.f64 (.f64 x 2) (.f64 x 2)) (+.f64 (pow.f64 (/.f64 1/2 x) 2) (.f64 (.f64 x 2) (/.f64 1/2 x)))))
(/.f64 (-.f64 (pow.f64 (-.f64 x (/.f64 1/2 x)) 2) (pow.f64 x 2)) (-.f64 (-.f64 x (/.f64 1/2 x)) x))
(/.f64 (-.f64 (.f64 (.f64 x 2) (.f64 x 2)) (pow.f64 (/.f64 1/2 x) 2)) (+.f64 (.f64 x 2) (/.f64 1/2 x)))
(pow.f64 (+.f64 (*.f64 x 2) (/.f64 -1/2 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 x 2) (/.f64 -1/2 x))) 3)
(pow.f64 (pow.f64 (+.f64 (*.f64 x 2) (/.f64 -1/2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 x 2) (/.f64 -1/2 x))) 2)
(sqrt.f64 (pow.f64 (+.f64 (*.f64 x 2) (/.f64 -1/2 x)) 2))
(log.f64 (exp.f64 (+.f64 (*.f64 x 2) (/.f64 -1/2 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 x 2) (/.f64 -1/2 x)))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 x 2) (/.f64 -1/2 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 x 2) (/.f64 -1/2 x))))
(exp.f64 (log.f64 (+.f64 (*.f64 x 2) (/.f64 -1/2 x))))
(exp.f64 (.f64 (log.f64 (+.f64 (.f64 x 2) (/.f64 -1/2 x))) 1))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 x 2) (/.f64 -1/2 x))))
(fma.f64 1 x (-.f64 x (/.f64 1/2 x)))
(fma.f64 1 (-.f64 x (/.f64 1/2 x)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (-.f64 x (/.f64 1/2 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 x (/.f64 1/2 x))) 2) (cbrt.f64 (-.f64 x (/.f64 1/2 x))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 x (/.f64 1/2 x)))
(fma.f64 (sqrt.f64 (-.f64 x (/.f64 1/2 x))) (sqrt.f64 (-.f64 x (/.f64 1/2 x))) x)

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

eval72.0ms (2.1%)

Compiler: Compiled 2924 to 2329 computations (20.3% saved)

prune22.0ms (0.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	160	0	160
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	160	4	164

Accuracy

100.0%

Counts

164 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
✓	100.0%	(log.f64 (+.f64 x (*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)))))
✓	49.3%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	99.1%	(log.f64 (+.f64 x x))

Compiler

Compiled 71 to 49 computations (31% saved)

regimes12.0ms (0.3%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	x
3.0ms	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
3.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))`
100.0%	1	`(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))`

Compiler

Compiled 55 to 37 computations (32.7% saved)

regimes14.0ms (0.4%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	x
3.0ms	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
3.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))`
99.7%	1	`(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))`

Compiler

Compiled 43 to 28 computations (34.9% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.1%	1	`x`

Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	95
1	31	95
2	36	95
3	40	95
4	43	95
5	44	95

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 27 to 19 computations (29.6% saved)

soundness241.0ms (7%)

Rules

1018×	`unpow-prod-down`
922×	`fma-def`
906×	`log-prod`
806×	`fma-neg`
774×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	66
1	152	66
2	2059	66
0	564	8125
1	1336	7866
2	4920	7836

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 87 to 63 computations (27.6% saved)

end0.0ms (0%)

preprocess33.0ms (1%)

Compiler: Compiled 70 to 48 computations (31.4% saved)

analyze141.0ms (4.1%)

sample1.8s (54%)

preprocess262.0ms (7.7%)

eval0.0ms (0%)

prune4.0ms (0.1%)

localize50.0ms (1.5%)

series9.0ms (0.3%)

rewrite140.0ms (4.1%)

simplify104.0ms (3%)

eval120.0ms (3.5%)

prune48.0ms (1.4%)

localize127.0ms (3.7%)

series4.0ms (0.1%)

rewrite95.0ms (2.8%)

simplify68.0ms (2%)

eval72.0ms (2.1%)

prune22.0ms (0.6%)

regimes12.0ms (0.3%)

regimes14.0ms (0.4%)

regimes3.0ms (0.1%)

simplify4.0ms (0.1%)

soundness241.0ms (7%)

end0.0ms (0%)

preprocess33.0ms (1%)

Profiling