Metrics for Hyperbolic arc-cosine

analyze78.0ms (1.8%)

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)

sample1.6s (37.7%)

Results

923.0ms	8256×	body	256	valid
653.0ms	8200×	body	256	invalid

Bogosity

preprocess259.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

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

Problems

133×	`(sqrt.f64 (-.f64 (*.f64 x x) 1))`
123×	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)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.7%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶	49.7%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))

Compiler

Compiled 20 to 14 computations (30% saved)

localize53.0ms (1.2%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 x x) 1)
✓	100.0%	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
✓	100.0%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	51.5%	(sqrt.f64 (-.f64 (*.f64 x x) 1))

Compiler

Compiled 35 to 18 computations (48.6% saved)

series5.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite154.0ms (3.6%)

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	94
1	152	94
2	2059	94

Stop Event

1×	node limit

Counts

4 → 288

Calls

Call 1

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

simplify160.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

1310×	`log-prod`
1176×	`fma-neg`
924×	`associate-r`
904×	`associate-l`
686×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	749	14015
1	1816	13538
2	6583	13536

Stop Event

1×	node limit

Counts

336 → 457

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

eval176.0ms (4.1%)

Compiler: Compiled 7962 to 5939 computations (25.4% saved)

prune63.0ms (1.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	454	3	457
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	454	4	458

Accuracy

100.0%

Counts

458 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	32.5%	(-.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 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
▶	99.4%	(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
✓	49.7%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶	98.6%	(log.f64 (+.f64 x x))
▶	32.5%	(-.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 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
▶	99.4%	(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
✓	49.7%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶	98.6%	(log.f64 (+.f64 x x))

Compiler

Compiled 104 to 72 computations (30.8% saved)

localize1.0s (24.2%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	51.5%	(sqrt.f64 (fma.f64 x x -1))
✓	49.7%	(log.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
✓	34.5%	(log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))
✓	7.5%	(-.f64 x (sqrt.f64 (fma.f64 x x -1)))

Compiler

Compiled 149 to 94 computations (36.9% saved)

series7.0ms (0.2%)

Counts

4 → 48

Calls

12 calls:

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

rewrite103.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1704×	`fma-def`
809×	`log1p-expm1-u`
809×	`expm1-log1p-u`
532×	`fma-neg`
412×	`expm1-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	148
1	262	144
2	3612	144

Stop Event

1×	node limit

Counts

4 → 141

Calls

Call 1

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

Outputs
(+.f64 x (neg.f64 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 x (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) 1))
(+.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) 1 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1))))
(+.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 (neg.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (pow.f64 (fma.f64 x x -1) 1/4) (sqrt.f64 (fma.f64 x x -1))))
(+.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) x)
(*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(*.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (pow.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) 2)) (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (/.f64 1 (fma.f64 x x (fma.f64 x (sqrt.f64 (fma.f64 x x -1)) (fma.f64 x x -1)))))
(*.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1)) (/.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (+.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x -1) 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x -1) 1/4)))
(/.f64 1 (/.f64 (fma.f64 x x (fma.f64 x (sqrt.f64 (fma.f64 x x -1)) (fma.f64 x x -1))) (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))))
(/.f64 1 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (pow.f64 x 2) (fma.f64 x x -1))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (fma.f64 x x (fma.f64 x (sqrt.f64 (fma.f64 x x -1)) (fma.f64 x x -1))))
(/.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1)) (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1))) (neg.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (neg.f64 (fma.f64 x x (fma.f64 x (sqrt.f64 (fma.f64 x x -1)) (fma.f64 x x -1)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) 3)) (fma.f64 x x (-.f64 (.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) (neg.f64 (sqrt.f64 (fma.f64 x x -1)))) (.f64 x (neg.f64 (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) (neg.f64 (sqrt.f64 (fma.f64 x x -1))))) (-.f64 x (neg.f64 (sqrt.f64 (fma.f64 x x -1)))))
(pow.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)
(pow.f64 (pow.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)
(sqrt.f64 (pow.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))
(log.f64 (exp.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(cbrt.f64 (pow.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) 3))
(expm1.f64 (log1p.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (*.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1))
(log1p.f64 (expm1.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(fma.f64 x 1 (neg.f64 (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 x 1 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) 1))
(fma.f64 -1 (sqrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) 1 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) 1 (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) 1 (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) 1 (fma.f64 (neg.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (pow.f64 (fma.f64 x x -1) 1/4) (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 1 x (neg.f64 (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 1 x (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) 1))
(fma.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) 1 (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 (neg.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (pow.f64 (fma.f64 x x -1) 1/4) (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 1 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) 1))
(fma.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (pow.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) 2)) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) 1 (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (pow.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) 2)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (pow.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) 2)) (fma.f64 (neg.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (pow.f64 (fma.f64 x x -1) 1/4) (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) 2)) (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) 1 (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) 2)) (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) 2)) (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (fma.f64 (neg.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (pow.f64 (fma.f64 x x -1) 1/4) (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 (cbrt.f64 (fma.f64 x x -1)) (neg.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) 1))
(fma.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) 1 (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (fma.f64 (neg.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (pow.f64 (fma.f64 x x -1) 1/4) (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/4) (neg.f64 (pow.f64 (fma.f64 x x -1) 1/4)) x)
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (/.f64 1 (fma.f64 x x (fma.f64 x (sqrt.f64 (fma.f64 x x -1)) (fma.f64 x x -1)))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) 1 (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (/.f64 1 (fma.f64 x x (fma.f64 x (sqrt.f64 (fma.f64 x x -1)) (fma.f64 x x -1)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (/.f64 1 (fma.f64 x x (fma.f64 x (sqrt.f64 (fma.f64 x x -1)) (fma.f64 x x -1)))) (fma.f64 (neg.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (pow.f64 (fma.f64 x x -1) 1/4) (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1)) (/.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) 1 (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1)) (/.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1)) (/.f64 1 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (fma.f64 (neg.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (pow.f64 (fma.f64 x x -1) 1/4) (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 (neg.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (pow.f64 (fma.f64 x x -1) 1/4) x)
(fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) x)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))))) (cbrt.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1)))) x)
(fma.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1)))) x)
(fma.f64 (+.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x -1) 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x -1) 1/4)) (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) 1 (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 (+.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x -1) 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x -1) 1/4)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 (+.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x -1) 1/4)) (-.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x -1) 1/4)) (fma.f64 (neg.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (pow.f64 (fma.f64 x x -1) 1/4) (sqrt.f64 (fma.f64 x x -1))))
(+.f64 0 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) 2))) (log.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))))
(+.f64 (log.f64 (hypot.f64 (pow.f64 x 3/2) (pow.f64 (fma.f64 x x -1) 3/4))) (log.f64 (hypot.f64 (pow.f64 x 3/2) (pow.f64 (fma.f64 x x -1) 3/4))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 9/2) (pow.f64 x 9))) (log.f64 (fma.f64 (pow.f64 (fma.f64 x x -1) 3/2) (-.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)) (pow.f64 x 6))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x -1) 3))) (log.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))))
(*.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) 1)
(*.f64 1 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) 2)) (cbrt.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))) (sqrt.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))))
(pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))))
(exp.f64 (log.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))) 1))
(log1p.f64 (-.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) 1))
(+.f64 0 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)) 2))) (log.f64 (cbrt.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))) (log.f64 (sqrt.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1))))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3) (pow.f64 (fma.f64 x x -1) 3))) (log.f64 (fma.f64 (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (neg.f64 (fma.f64 x x -1))) (pow.f64 (fma.f64 x x -1) 2))))
(-.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 x x -1) 2) (pow.f64 (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))) (log.f64 (-.f64 (fma.f64 x x -1) (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(*.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1))) 1)
(*.f64 1 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1))))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))) (cbrt.f64 (pow.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1))) 2)) (cbrt.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))) (sqrt.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))))
(pow.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1))) 1)
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))) 3)
(pow.f64 (pow.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1))) 2))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1))) 3))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))))
(exp.f64 (log.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))) 1))
(log1p.f64 (-.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)) 1))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(*.f64 1 (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(pow.f64 (fma.f64 x x -1) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -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))))

simplify108.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1140×	`distribute-lft-in`
848×	`cancel-sign-sub-inv`
842×	`fma-neg`
500×	`fma-def`
448×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	444	9900
1	1073	9492
2	3647	9148

Stop Event

1×	node limit

Counts

189 → 315

Calls

Call 1

Inputs
(*.f64 -1 (sqrt.f64 -1))
(+.f64 x (*.f64 -1 (sqrt.f64 -1)))
(+.f64 x (+.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 -1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 x (+.f64 (.f64 -1 (sqrt.f64 -1)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))))))
(/.f64 1/2 x)
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (.f64 5/128 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))))
(*.f64 2 x)
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
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(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 9/2) (pow.f64 x 9))) (log.f64 (fma.f64 (pow.f64 (fma.f64 x x -1) 3/2) (-.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)) (pow.f64 x 6))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 6) (pow.f64 (fma.f64 x x -1) 3))) (log.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))))
(*.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) 1)
(*.f64 1 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))) (cbrt.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) 2)) (cbrt.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))) (sqrt.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))))
(pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))))
(exp.f64 (log.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))) 1))
(log1p.f64 (-.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) 1))
(+.f64 0 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)) 2))) (log.f64 (cbrt.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))) (log.f64 (sqrt.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1))))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3) (pow.f64 (fma.f64 x x -1) 3))) (log.f64 (fma.f64 (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (neg.f64 (fma.f64 x x -1))) (pow.f64 (fma.f64 x x -1) 2))))
(-.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 x x -1) 2) (pow.f64 (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))) (log.f64 (-.f64 (fma.f64 x x -1) (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(*.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1))) 1)
(*.f64 1 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1))))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))) (cbrt.f64 (pow.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1))) 2)) (cbrt.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))) (sqrt.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))))
(pow.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1))) 1)
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))) 3)
(pow.f64 (pow.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1))) 2))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1))) 3))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))))
(exp.f64 (log.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))) 1))
(log1p.f64 (-.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)) 1))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(*.f64 1 (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(pow.f64 (fma.f64 x x -1) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -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))))

Outputs
(*.f64 -1 (sqrt.f64 -1))
(neg.f64 (sqrt.f64 -1))
(+.f64 x (*.f64 -1 (sqrt.f64 -1)))
(+.f64 (neg.f64 (sqrt.f64 -1)) x)
(-.f64 x (sqrt.f64 -1))
(+.f64 x (+.f64 (.f64 -1 (sqrt.f64 -1)) (.f64 -1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 x (fma.f64 -1 (sqrt.f64 -1) (*.f64 -1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 x (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (sqrt.f64 -1)))
(+.f64 x (fma.f64 -1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (neg.f64 (sqrt.f64 -1))))
(+.f64 x (+.f64 (.f64 -1 (sqrt.f64 -1)) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))))))
(+.f64 x (fma.f64 -1 (sqrt.f64 -1) (fma.f64 -1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (/.f64 (*.f64 1/8 (pow.f64 x 4)) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 x (-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (*.f64 -1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)))) (sqrt.f64 -1)))
(+.f64 (-.f64 x (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 1/2 x)
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (.f64 5/128 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))))
(+.f64 (+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3)))) (/.f64 5/128 (pow.f64 x 7)))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 5/128 (pow.f64 x 7))))
(+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (/.f64 5/128 (pow.f64 x 7))))
(*.f64 2 x)
(*.f64 x 2)
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 -1/2 x))
(-.f64 (.f64 2 x) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (*.f64 x 2) (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(-.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 -1/8 (pow.f64 x 3)))
(-.f64 (.f64 2 x) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))))
(-.f64 (-.f64 (*.f64 x 2) (/.f64 1/16 (pow.f64 x 5))) (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(-.f64 (-.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/16 (pow.f64 x 5)))
(+.f64 (+.f64 (fma.f64 x 2 (/.f64 -1/2 x)) (/.f64 -1/8 (pow.f64 x 3))) (/.f64 -1/16 (pow.f64 x 5)))
(log.f64 (pow.f64 -1 3/2))
(*.f64 3/2 (log.f64 -1))
(+.f64 (log.f64 (pow.f64 -1 3/2)) (.f64 -3/2 (.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (.f64 3/2 (log.f64 -1)) (.f64 -3/2 (*.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 2))))
(fma.f64 3/2 (log.f64 -1) (*.f64 (pow.f64 x 2) 3/2))
(+.f64 (log.f64 (pow.f64 -1 3/2)) (+.f64 (.f64 -3/2 (.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 2))) (*.f64 (pow.f64 x 3) (sqrt.f64 -1))))
(+.f64 (.f64 3/2 (log.f64 -1)) (fma.f64 -3/2 (.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 2)) (*.f64 (sqrt.f64 -1) (pow.f64 x 3))))
(fma.f64 3/2 (log.f64 -1) (fma.f64 (sqrt.f64 -1) (pow.f64 x 3) (*.f64 (pow.f64 x 2) 3/2)))
(+.f64 (log.f64 (pow.f64 -1 3/2)) (+.f64 (.f64 -3/2 (.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 x 4) (+.f64 (.f64 9 (pow.f64 (sqrt.f64 -1) 2)) (.f64 27 (pow.f64 (sqrt.f64 -1) 2))))) (*.f64 (pow.f64 x 3) (sqrt.f64 -1)))))
(+.f64 (.f64 3/2 (log.f64 -1)) (fma.f64 -3/2 (.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 2)) (fma.f64 1/24 (.f64 (pow.f64 x 4) (.f64 (pow.f64 (sqrt.f64 -1) 2) 36)) (*.f64 (sqrt.f64 -1) (pow.f64 x 3)))))
(+.f64 (fma.f64 3/2 (log.f64 -1) (.f64 (pow.f64 x 2) 3/2)) (fma.f64 (sqrt.f64 -1) (pow.f64 x 3) (.f64 (pow.f64 x 4) -3/2)))
(*.f64 -3 (log.f64 (/.f64 1 x)))
(*.f64 -3 (neg.f64 (log.f64 x)))
(*.f64 3 (log.f64 x))
(+.f64 1 (*.f64 -3 (log.f64 (/.f64 1 x))))
(+.f64 1 (*.f64 -3 (neg.f64 (log.f64 x))))
(fma.f64 -3 (neg.f64 (log.f64 x)) 1)
(-.f64 1 (*.f64 (log.f64 x) -3))
(-.f64 (+.f64 1 (.f64 -3 (log.f64 (/.f64 1 x)))) (.f64 3/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1 (-.f64 (*.f64 -3 (neg.f64 (log.f64 x))) (/.f64 3/2 (pow.f64 x 2))))
(+.f64 1 (fma.f64 -3 (neg.f64 (log.f64 x)) (/.f64 -3/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 (*.f64 3 (log.f64 x)) (/.f64 -3/2 (pow.f64 x 2))))
(-.f64 (+.f64 1/2 (.f64 -3 (log.f64 (/.f64 1 x)))) (.f64 3/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 1/2 (-.f64 (*.f64 -3 (neg.f64 (log.f64 x))) (/.f64 3/2 (pow.f64 x 2))))
(+.f64 1/2 (fma.f64 -3 (neg.f64 (log.f64 x)) (/.f64 -3/2 (pow.f64 x 2))))
(+.f64 1/2 (+.f64 (*.f64 3 (log.f64 x)) (/.f64 -3/2 (pow.f64 x 2))))
(+.f64 (log.f64 -1) (*.f64 -3 (log.f64 (/.f64 -1 x))))
(fma.f64 -3 (log.f64 (/.f64 -1 x)) (log.f64 -1))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -3 (log.f64 (/.f64 -1 x)))) 1)
(+.f64 (log.f64 -1) (-.f64 (*.f64 -3 (log.f64 (/.f64 -1 x))) 1))
(+.f64 -1 (fma.f64 -3 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (.f64 -3 (log.f64 (/.f64 -1 x))) (.f64 3/2 (/.f64 1 (pow.f64 x 2))))) 1)
(+.f64 (log.f64 -1) (-.f64 (fma.f64 -3 (log.f64 (/.f64 -1 x)) (/.f64 3/2 (pow.f64 x 2))) 1))
(+.f64 -1 (+.f64 (log.f64 -1) (fma.f64 -3 (log.f64 (/.f64 -1 x)) (/.f64 3/2 (pow.f64 x 2)))))
(+.f64 (fma.f64 -3 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (+.f64 (/.f64 3/2 (pow.f64 x 2)) -1))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (.f64 -3 (log.f64 (/.f64 -1 x))) (.f64 3/2 (/.f64 1 (pow.f64 x 2))))) 3/2)
(+.f64 (log.f64 -1) (-.f64 (fma.f64 -3 (log.f64 (/.f64 -1 x)) (/.f64 3/2 (pow.f64 x 2))) 3/2))
(+.f64 -3/2 (+.f64 (log.f64 -1) (fma.f64 -3 (log.f64 (/.f64 -1 x)) (/.f64 3/2 (pow.f64 x 2)))))
(+.f64 (fma.f64 -3 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (+.f64 (/.f64 3/2 (pow.f64 x 2)) -3/2))
(log.f64 -1)
(+.f64 (log.f64 -1) (*.f64 x (sqrt.f64 -1)))
(+.f64 (log.f64 -1) (*.f64 (sqrt.f64 -1) x))
(fma.f64 (sqrt.f64 -1) x (log.f64 -1))
(+.f64 (log.f64 -1) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 (.f64 -1 (pow.f64 (sqrt.f64 -1) 2)) 4))) (.f64 x (sqrt.f64 -1))))
(+.f64 (log.f64 -1) (fma.f64 1/2 (.f64 (pow.f64 x 2) (fma.f64 -1 (pow.f64 (sqrt.f64 -1) 2) -4)) (.f64 (sqrt.f64 -1) x)))
(+.f64 (log.f64 -1) (fma.f64 (sqrt.f64 -1) x (*.f64 (pow.f64 x 2) -3/2)))
(+.f64 (fma.f64 (sqrt.f64 -1) x (log.f64 -1)) (*.f64 (pow.f64 x 2) -3/2))
(+.f64 (log.f64 -1) (+.f64 (.f64 1/6 (.f64 (pow.f64 x 3) (+.f64 (.f64 2 (pow.f64 (sqrt.f64 -1) 3)) (+.f64 (.f64 3 (/.f64 1 (sqrt.f64 -1))) (.f64 12 (sqrt.f64 -1)))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 x 2) (-.f64 (.f64 -1 (pow.f64 (sqrt.f64 -1) 2)) 4))) (*.f64 x (sqrt.f64 -1)))))
(+.f64 (log.f64 -1) (fma.f64 1/6 (.f64 (pow.f64 x 3) (fma.f64 2 (pow.f64 (sqrt.f64 -1) 3) (+.f64 (/.f64 3 (sqrt.f64 -1)) (.f64 (sqrt.f64 -1) 12)))) (fma.f64 1/2 (.f64 (pow.f64 x 2) (fma.f64 -1 (pow.f64 (sqrt.f64 -1) 2) -4)) (.f64 (sqrt.f64 -1) x))))
(+.f64 (log.f64 -1) (fma.f64 1/6 (.f64 (pow.f64 x 3) (+.f64 (.f64 (sqrt.f64 -1) -2) (fma.f64 (sqrt.f64 -1) 12 (/.f64 3 (sqrt.f64 -1))))) (fma.f64 (sqrt.f64 -1) x (*.f64 (pow.f64 x 2) -3/2))))
(+.f64 (fma.f64 (.f64 (pow.f64 x 3) 1/6) (+.f64 (.f64 (sqrt.f64 -1) -2) (fma.f64 (sqrt.f64 -1) 12 (/.f64 3 (sqrt.f64 -1)))) (*.f64 (pow.f64 x 2) -3/2)) (fma.f64 (sqrt.f64 -1) x (log.f64 -1)))
(*.f64 -2 (log.f64 (/.f64 1 x)))
(*.f64 (neg.f64 (log.f64 x)) -2)
(*.f64 2 (log.f64 x))
(-.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (*.f64 (neg.f64 (log.f64 x)) -2) (/.f64 1/2 (pow.f64 x 2)))
(fma.f64 (neg.f64 (log.f64 x)) -2 (/.f64 -1/2 (pow.f64 x 2)))
(+.f64 (*.f64 2 (log.f64 x)) (/.f64 -1/2 (pow.f64 x 2)))
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(pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) 1)
(log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))) 3)
(log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))
(pow.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) 3) 1/3)
(log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))) 2)
(log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) 2))
(log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) 3))
(log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))))
(log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))
(exp.f64 (log.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))))
(log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))) 1))
(log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)))
(log1p.f64 (-.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) 1))
(log1p.f64 (+.f64 (pow.f64 x 3) (-.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1)))
(log1p.f64 (+.f64 -1 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))))
(+.f64 0 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1))))
(log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)) 2))) (log.f64 (cbrt.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))) (log.f64 (sqrt.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))))
(log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1))))) 1)
(log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))
(-.f64 (log.f64 (+.f64 (pow.f64 (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3) (pow.f64 (fma.f64 x x -1) 3))) (log.f64 (fma.f64 (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (neg.f64 (fma.f64 x x -1))) (pow.f64 (fma.f64 x x -1) 2))))
(-.f64 (log.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3) (pow.f64 (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3))) (log.f64 (fma.f64 (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (neg.f64 (fma.f64 x x -1))) (pow.f64 (fma.f64 x x -1) 2))))
(-.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 x x -1) 2) (pow.f64 (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))) (log.f64 (-.f64 (fma.f64 x x -1) (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 x x -1) 2) (pow.f64 (.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))) (log.f64 (+.f64 (fma.f64 x x -1) (.f64 x (-.f64 (sqrt.f64 (fma.f64 x x -1)) x)))))
(*.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1))) 1)
(log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))
(*.f64 1 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1))))
(log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))) (cbrt.f64 (pow.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1))) 2)) (cbrt.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))) (cbrt.f64 (pow.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1))) 2)))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))) (sqrt.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))))
(log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))
(pow.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1))) 1)
(log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))) 3)
(log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))
(pow.f64 (pow.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1))) 3) 1/3)
(log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))) 2)
(log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1))) 2))
(log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1))) 3))
(log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))))
(log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))
(exp.f64 (log.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))))
(log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))) 1))
(log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)))
(log1p.f64 (-.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)) 1))
(log1p.f64 (+.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1)) -1))
(log1p.f64 (+.f64 -1 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (fma.f64 x x -1))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 1)
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(sqrt.f64 (fma.f64 x x -1))
(*.f64 1 (sqrt.f64 (fma.f64 x x -1)))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 x x -1)))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (fabs.f64 (cbrt.f64 (fma.f64 x x -1))) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (fabs.f64 (cbrt.f64 (fma.f64 x x -1))) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(pow.f64 (fma.f64 x x -1) 1/2)
(sqrt.f64 (fma.f64 x x -1))
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(sqrt.f64 (fma.f64 x x -1))
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) 3)
(sqrt.f64 (fma.f64 x x -1))
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 2)
(sqrt.f64 (fma.f64 x x -1))
(fabs.f64 (sqrt.f64 (fma.f64 x x -1)))
(sqrt.f64 (fma.f64 x x -1))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))
(sqrt.f64 (fma.f64 x x -1))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))))
(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))))
(sqrt.f64 (fma.f64 x x -1))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))
(sqrt.f64 (fma.f64 x x -1))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2))
(sqrt.f64 (fma.f64 x x -1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1))
(sqrt.f64 (fma.f64 x x -1))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))
(sqrt.f64 (fma.f64 x x -1))

eval199.0ms (4.7%)

Compiler: Compiled 11087 to 7928 computations (28.5% saved)

prune45.0ms (1.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	315	0	315
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	315	4	319

Accuracy

100.0%

Counts

319 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	32.5%	(-.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 x (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
✓	99.4%	(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
✓	49.7%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	98.6%	(log.f64 (+.f64 x x))

Compiler

Compiled 101 to 69 computations (31.7% saved)

regimes13.0ms (0.3%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.4%	1	`x`
99.4%	1	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))`
99.4%	1	`(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))`

Compiler

Compiled 70 to 47 computations (32.9% 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
98.6%	1	`x`

Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	46
1	17	46
2	24	46
3	28	46
4	31	46
5	32	46

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 14 to 10 computations (28.6% saved)

soundness160.0ms (3.8%)

Rules

1310×	`log-prod`
1176×	`fma-neg`
924×	`associate-r`
904×	`associate-l`
686×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	749	14015
1	1816	13538
2	6583	13536

Stop Event

1×	node limit

Compiler

Compiled 39 to 31 computations (20.5% saved)

end0.0ms (0%)

preprocess28.0ms (0.7%)

Compiler: Compiled 46 to 32 computations (30.4% saved)

analyze78.0ms (1.8%)

sample1.6s (37.7%)

preprocess259.0ms (6.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize53.0ms (1.2%)

series5.0ms (0.1%)

rewrite154.0ms (3.6%)

simplify160.0ms (3.8%)

eval176.0ms (4.1%)

prune63.0ms (1.5%)

localize1.0s (24.2%)

series7.0ms (0.2%)

rewrite103.0ms (2.4%)

simplify108.0ms (2.6%)

eval199.0ms (4.7%)

prune45.0ms (1.1%)

regimes13.0ms (0.3%)

regimes3.0ms (0.1%)

simplify3.0ms (0.1%)

soundness160.0ms (3.8%)

end0.0ms (0%)

preprocess28.0ms (0.7%)

Profiling