Metrics for Hyperbolic arc-cosine

analyze75.0ms (1.9%)

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)

sample1.7s (43%)

Results

996.0ms	8256×	body	256	valid
675.0ms	8295×	body	256	invalid

Bogosity

preprocess258.0ms (6.5%)

Algorithm

1×	egg-herbie

Rules

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

Problems

130×	No Errors
126×	`(sqrt.f64 (-.f64 (*.f64 x x) 1))`

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
▶	52.3%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶	52.3%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))

Compiler

Compiled 20 to 14 computations (30% saved)

localize46.0ms (1.2%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	54.1%	(sqrt.f64 (-.f64 (*.f64 x x) 1))

Compiler

Compiled 35 to 18 computations (48.6% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

6 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))

rewrite127.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 116

Calls

Call 1

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

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

simplify77.0ms (2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

140 → 222

Calls

Call 1

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

Outputs
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(fma.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (sqrt.f64 -1) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1)))))
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (sqrt.f64 -1)) (*.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (fma.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3)) (fma.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5)) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/8 (/.f64 (pow.f64 x 4) (sqrt.f64 -1))) (fma.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (/.f64 (.f64 1/16 (pow.f64 x 6)) (pow.f64 (sqrt.f64 -1) 5)))))
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (sqrt.f64 -1)) (fma.f64 -1/8 (/.f64 (pow.f64 x 4) (neg.f64 (sqrt.f64 -1))) (/.f64 1/16 (/.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 x 6)))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (/.f64 1/2 x))
(+.f64 x (/.f64 -1/2 x))
(-.f64 x (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x))))
(-.f64 x (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (+.f64 x (/.f64 -1/2 x)) (/.f64 -1/8 (pow.f64 x 3)))
(-.f64 x (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x)))))
(-.f64 x (+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/16 (pow.f64 x 5))))
(-.f64 x (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 5)))))
(+.f64 x (+.f64 (/.f64 -1/8 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 x) (/.f64 -1/16 (pow.f64 x 5)))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (.f64 -1 x) (.f64 1/2 (/.f64 1 x)))
(fma.f64 -1 x (/.f64 1/2 x))
(-.f64 (/.f64 1/2 x) x)
(+.f64 (.f64 -1 x) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(fma.f64 -1 x (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 1/2 x) x))
(+.f64 (.f64 -1 x) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))))
(fma.f64 -1 x (+.f64 (+.f64 (/.f64 1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (/.f64 1/16 (pow.f64 x 5)) (+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 1/2 x) x)))
(+.f64 (/.f64 1/2 x) (+.f64 (-.f64 (/.f64 1/16 (pow.f64 x 5)) x) (/.f64 1/8 (pow.f64 x 3))))
(log.f64 (sqrt.f64 -1))
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1)))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (/.f64 x (sqrt.f64 -1))))
(+.f64 (log.f64 (sqrt.f64 -1)) (fma.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)) (/.f64 x (sqrt.f64 -1))))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (/.f64 x (sqrt.f64 -1)) (*.f64 1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1)))))
(+.f64 (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1))) (*.f64 1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1))))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (/.f64 x (sqrt.f64 -1)))))
(+.f64 (log.f64 (sqrt.f64 -1)) (fma.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)) (fma.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)) (/.f64 x (sqrt.f64 -1)))))
(+.f64 (log.f64 (sqrt.f64 -1)) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1))) (fma.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)) (/.f64 x (sqrt.f64 -1)))))
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (sqrt.f64 -1))) (+.f64 (fma.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5)) (/.f64 x (sqrt.f64 -1))) (log.f64 (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 (+.f64 (log.f64 2) (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 (log.f64 2) (-.f64 (log.f64 x) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (+.f64 (-.f64 (log.f64 x) (/.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 (log.f64 2) (-.f64 (log.f64 x) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (/.f64 5/96 (pow.f64 x 6))))))
(+.f64 (log.f64 2) (+.f64 (+.f64 (-.f64 (log.f64 x) (/.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 1/4 (pow.f64 x 2)) (/.f64 3/32 (pow.f64 x 4))) (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (+.f64 (/.f64 1/4 (pow.f64 x 2)) (log.f64 -1/2)) (/.f64 3/32 (pow.f64 x 4))))
(+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))))
(+.f64 (log.f64 -1/2) (+.f64 (+.f64 (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 3/32 (pow.f64 x 4))) (/.f64 5/96 (pow.f64 x 6))) (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -1/2) (+.f64 (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 3/32 (pow.f64 x 4))) (+.f64 (/.f64 5/96 (pow.f64 x 6)) (log.f64 (/.f64 -1 x)))))
(+.f64 (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 3/32 (pow.f64 x 4))) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 0 (sqrt.f64 (fma.f64 x x -1)))
(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 (*.f64 2 (log.f64 (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 3 (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 2 (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)
(sqrt.f64 (fma.f64 x x -1))
(*.f64 1 (sqrt.f64 (fma.f64 x x -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 (sqrt.f64 (fma.f64 x x -1)) (log.f64 (exp.f64 1)))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6))
(sqrt.f64 (fma.f64 x x -1))
(*.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)))
(sqrt.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 (+.f64 x 1) 1/2) (pow.f64 (+.f64 x -1) 1/2))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 -1 x)))
(*.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 -1 x)))
(*.f64 (pow.f64 (+.f64 x -1) 1/2) (pow.f64 (+.f64 x 1) 1/2))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 -1 x)))
(*.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 -1 x)))
(*.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))))
(pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) 3)
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 -1 x)))
(*.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 -1 x)))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (fma.f64 x x -1)))
(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 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3/4)))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/8) (pow.f64 (fma.f64 x x -1) 3/8))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x 1)) 1) (pow.f64 (sqrt.f64 (+.f64 x -1)) 1))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 -1 x)))
(*.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 -1 x)))
(*.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))
(sqrt.f64 (fma.f64 x x -1))
(*.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))
(sqrt.f64 (fma.f64 x x -1))
(*.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 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3/4)))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/8) (pow.f64 (fma.f64 x x -1) 3/8))
(*.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 (sqrt.f64 (+.f64 -1 (pow.f64 x 6))) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 x 4) (fma.f64 x x 1)))))
(*.f64 (pow.f64 (+.f64 (pow.f64 x 4) -1) 1/2) (pow.f64 (/.f64 1 (fma.f64 x x 1)) 1/2))
(*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 4))) (sqrt.f64 (/.f64 1 (fma.f64 x x 1))))
(*.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 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) (sqrt.f64 (pow.f64 (fma.f64 x x -1) 5/6)))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/12) (pow.f64 (fma.f64 x x -1) 5/12))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/2) 1) (pow.f64 (pow.f64 (+.f64 x -1) 1/2) 1))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 -1 x)))
(*.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 -1 x)))
(*.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 (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))))
(pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) 3)
(*.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))
(sqrt.f64 (fma.f64 x x -1))
(.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))
(sqrt.f64 (fma.f64 x x -1))
(*.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))
(sqrt.f64 (fma.f64 x x -1))
(*.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 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 5/6)))
(.f64 (pow.f64 (+.f64 x 1) 1/3) (pow.f64 (.f64 (+.f64 x -1) (sqrt.f64 (fma.f64 x x -1))) 1/3))
(.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (.f64 (sqrt.f64 (fma.f64 x x -1)) (+.f64 -1 x))))
(*.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 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/4)) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/4)))
(*.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 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/4)) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/4)))
(*.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 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 4)))
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(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1) 1))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)) 1/3))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(log1p.f64 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1))
(log1p.f64 (+.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) -1))
(log1p.f64 (+.f64 (sqrt.f64 (fma.f64 x x -1)) (+.f64 -1 x)))

eval95.0ms (2.4%)

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

prune35.0ms (0.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	219	3	222
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	219	4	223

Accuracy

100.0%

Counts

223 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	3.4%	(neg.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
▶	99.3%	(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
✓	52.3%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶	98.8%	(log.f64 (+.f64 x x))
▶	3.4%	(neg.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
▶	99.3%	(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
✓	52.3%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶	98.8%	(log.f64 (+.f64 x x))

Compiler

Compiled 68 to 46 computations (32.4% saved)

localize355.0ms (9%)

Localize:

Found 6 expressions with local error:

New	Accuracy	Program
✓	100.0%	(log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
✓	54.1%	(sqrt.f64 (fma.f64 x x -1))
✓	7.0%	(-.f64 x (sqrt.f64 (fma.f64 x x -1)))
✓	100.0%	(-.f64 x (/.f64 1/2 x))
✓	100.0%	(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
✓	100.0%	(+.f64 x (-.f64 x (/.f64 1/2 x)))

Compiler

Compiled 70 to 40 computations (42.9% saved)

series6.0ms (0.2%)

Counts

6 → 72

Calls

18 calls:

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

rewrite133.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1222×	`log1p-expm1-u`
1059×	`expm1-log1p-u`
388×	`expm1-udef`
388×	`log1p-udef`
132×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	158
1	219	152
2	3284	152

Stop Event

1×	node limit

Counts

6 → 183

Calls

Call 1

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

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

simplify117.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1580×	`fma-neg`
754×	`fma-def`
732×	`log-prod`
644×	`sub-neg`
428×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	532	9980
1	1351	9271
2	5025	9204

Stop Event

1×	node limit

Counts

255 → 356

Calls

Call 1

Inputs
(/.f64 -1/2 x)
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(*.f64 2 x)
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(*.f64 2 x)
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (.f64 -1 (log.f64 x))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -8 (pow.f64 x 4)) (+.f64 (.f64 -4 (pow.f64 x 2)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -64/3 (pow.f64 x 6)) (+.f64 (.f64 -8 (pow.f64 x 4)) (+.f64 (.f64 -4 (pow.f64 x 2)) (.f64 -1 (log.f64 x))))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (log.f64 -2) (.f64 -1 (log.f64 (/.f64 -1 x)))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -2) (.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 -2) (.f64 -1 (log.f64 (/.f64 -1 x)))) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(/.f64 -1/2 x)
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(*.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)))
(-.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)))))
(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 (neg.f64 (sqrt.f64 -1)))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (*.f64 -1 (/.f64 x (sqrt.f64 -1))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (+.f64 (.f64 -1 (/.f64 x (sqrt.f64 -1))) (.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3)))))
(+.f64 (log.f64 (neg.f64 (sqrt.f64 -1))) (+.f64 (.f64 -1 (/.f64 x (sqrt.f64 -1))) (+.f64 (.f64 -3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (*.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))))))
(+.f64 (log.f64 1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 1 x)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 1/2) (+.f64 (log.f64 (/.f64 1 x)) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))))
(+.f64 (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 x (-.f64 (/.f64 1/2 x) x))
(-.f64 (*.f64 x 2) (/.f64 1/2 x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 x 2) (/.f64 -1/2 x)))) 1)
(-.f64 (/.f64 (pow.f64 x 2) (+.f64 (-.f64 x x) (/.f64 1/2 x))) (/.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2) (+.f64 (-.f64 x x) (/.f64 1/2 x))))
(.f64 (+.f64 (.f64 x 2) (/.f64 -1/2 x)) 1)
(.f64 1 (+.f64 (.f64 x 2) (/.f64 -1/2 x)))
(.f64 (cbrt.f64 (+.f64 (.f64 x 2) (/.f64 -1/2 x))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 x 2) (/.f64 -1/2 x))) 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 x 2) (/.f64 -1/2 x))) 2) (cbrt.f64 (+.f64 (*.f64 x 2) (/.f64 -1/2 x))))
(.f64 (sqrt.f64 (+.f64 (.f64 x 2) (/.f64 -1/2 x))) (sqrt.f64 (+.f64 (*.f64 x 2) (/.f64 -1/2 x))))
(.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x)))))
(*.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2)) (/.f64 1 (+.f64 (-.f64 x x) (/.f64 1/2 x))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x))) (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3))))
(/.f64 1 (/.f64 (+.f64 (-.f64 x x) (/.f64 1/2 x)) (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3)) (fma.f64 x x (*.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x))))
(/.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2) (-.f64 (pow.f64 x 2) (*.f64 x (+.f64 x (/.f64 -1/2 x))))))
(/.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2)) (+.f64 (-.f64 x x) (/.f64 1/2 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (*.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2))) (neg.f64 (+.f64 (-.f64 x x) (/.f64 1/2 x))))
(/.f64 (-.f64 (pow.f64 (.f64 x 2) 3) (/.f64 1/8 (pow.f64 x 3))) (+.f64 (.f64 (.f64 x 2) (.f64 x 2)) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (.f64 (.f64 x 2) (/.f64 1/2 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2) (pow.f64 x 2)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x))
(/.f64 (-.f64 (.f64 (.f64 x 2) (.f64 x 2)) (/.f64 1/4 (pow.f64 x 2))) (+.f64 (.f64 x 2) (/.f64 1/2 x)))
(pow.f64 (+.f64 (*.f64 x 2) (/.f64 -1/2 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 x 2) (/.f64 -1/2 x))) 3)
(pow.f64 (pow.f64 (+.f64 (*.f64 x 2) (/.f64 -1/2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 x 2) (/.f64 -1/2 x))) 2)
(pow.f64 (exp.f64 1) (log.f64 (+.f64 (*.f64 x 2) (/.f64 -1/2 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (.f64 x 2) (/.f64 -1/2 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 (.f64 x 2) (/.f64 -1/2 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (.f64 x 2) (/.f64 -1/2 x))))) (sqrt.f64 (log.f64 (+.f64 (.f64 x 2) (/.f64 -1/2 x)))))
(sqrt.f64 (pow.f64 (+.f64 (*.f64 x 2) (/.f64 -1/2 x)) 2))
(log.f64 (exp.f64 (+.f64 (*.f64 x 2) (/.f64 -1/2 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 x 2) (/.f64 -1/2 x)))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 x 2) (/.f64 -1/2 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 x 2) (/.f64 -1/2 x))))
(exp.f64 (log.f64 (+.f64 (*.f64 x 2) (/.f64 -1/2 x))))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 x 2) (/.f64 -1/2 x))))
(fma.f64 1 x (+.f64 x (/.f64 -1/2 x)))
(fma.f64 1 (+.f64 x (/.f64 -1/2 x)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 x (/.f64 -1/2 x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1/2 x))) 2) (cbrt.f64 (+.f64 x (/.f64 -1/2 x))) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x (/.f64 -1/2 x)))
(fma.f64 (sqrt.f64 (+.f64 x (/.f64 -1/2 x))) (sqrt.f64 (+.f64 x (/.f64 -1/2 x))) x)
(+.f64 0 (log.f64 (+.f64 (*.f64 x 2) (/.f64 -1/2 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 x 2) (/.f64 -1/2 x))) 2)) (log.f64 (cbrt.f64 (+.f64 (.f64 x 2) (/.f64 -1/2 x)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x 2) (/.f64 -1/2 x)))) (log.f64 (sqrt.f64 (+.f64 (.f64 x 2) (/.f64 -1/2 x)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (*.f64 x 2) (/.f64 -1/2 x))))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3))) (log.f64 (fma.f64 x x (*.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x)))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2))) (log.f64 (+.f64 (-.f64 x x) (/.f64 1/2 x))))
(.f64 (log.f64 (+.f64 (.f64 x 2) (/.f64 -1/2 x))) 1)
(.f64 1 (log.f64 (+.f64 (.f64 x 2) (/.f64 -1/2 x))))
(.f64 (cbrt.f64 (log.f64 (+.f64 (.f64 x 2) (/.f64 -1/2 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (*.f64 x 2) (/.f64 -1/2 x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (.f64 x 2) (/.f64 -1/2 x)))) 2) (cbrt.f64 (log.f64 (+.f64 (*.f64 x 2) (/.f64 -1/2 x)))))
(.f64 (sqrt.f64 (log.f64 (+.f64 (.f64 x 2) (/.f64 -1/2 x)))) (sqrt.f64 (log.f64 (+.f64 (*.f64 x 2) (/.f64 -1/2 x)))))
(pow.f64 (log.f64 (+.f64 (*.f64 x 2) (/.f64 -1/2 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (*.f64 x 2) (/.f64 -1/2 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 (*.f64 x 2) (/.f64 -1/2 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (*.f64 x 2) (/.f64 -1/2 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (*.f64 x 2) (/.f64 -1/2 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (*.f64 x 2) (/.f64 -1/2 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (*.f64 x 2) (/.f64 -1/2 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 (*.f64 x 2) (/.f64 -1/2 x)))))
(exp.f64 (.f64 (log.f64 (log.f64 (+.f64 (.f64 x 2) (/.f64 -1/2 x)))) 1))
(log1p.f64 (-.f64 (+.f64 (*.f64 x 2) (/.f64 -1/2 x)) 1))
(+.f64 x (/.f64 -1/2 x))
(+.f64 x (*.f64 (/.f64 -1/2 x) 1))
(+.f64 (+.f64 x (/.f64 -1/2 x)) (fma.f64 (neg.f64 (/.f64 1 x)) 1/2 (/.f64 1/2 x)))
(+.f64 (+.f64 x (/.f64 -1/2 x)) (fma.f64 (/.f64 -1/2 x) 1 (/.f64 1/2 x)))
(+.f64 (+.f64 x (/.f64 -1/2 x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1/2 x))) (pow.f64 (cbrt.f64 (/.f64 1/2 x)) 2) (/.f64 1/2 x)))
(+.f64 (+.f64 x (/.f64 -1/2 x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 1/2 x))) (sqrt.f64 (/.f64 1/2 x)) (/.f64 1/2 x)))
(+.f64 (/.f64 -1/2 x) x)
(*.f64 (+.f64 x (/.f64 -1/2 x)) 1)
(*.f64 1 (+.f64 x (/.f64 -1/2 x)))
(*.f64 (cbrt.f64 (+.f64 x (/.f64 -1/2 x))) (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1/2 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1/2 x))) 2) (cbrt.f64 (+.f64 x (/.f64 -1/2 x))))
(*.f64 (sqrt.f64 (+.f64 x (/.f64 -1/2 x))) (sqrt.f64 (+.f64 x (/.f64 -1/2 x))))
(.f64 (-.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1 (fma.f64 x x (.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x))))))
(*.f64 (-.f64 (pow.f64 x 2) (/.f64 1/4 (pow.f64 x 2))) (/.f64 1 (+.f64 x (/.f64 1/2 x))))
(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 1/2 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 1/2 x))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x)))) (-.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3)))))
(/.f64 1 (/.f64 (+.f64 x (/.f64 1/2 x)) (-.f64 (pow.f64 x 2) (/.f64 1/4 (pow.f64 x 2)))))
(/.f64 (-.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))) (fma.f64 x x (*.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x)))))
(/.f64 (-.f64 (pow.f64 x 2) (/.f64 1/4 (pow.f64 x 2))) (+.f64 x (/.f64 1/2 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3)))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 1/2 x) (+.f64 x (/.f64 1/2 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (/.f64 1/4 (pow.f64 x 2)))) (neg.f64 (+.f64 x (/.f64 1/2 x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 -1/2 x) 3)) (+.f64 (pow.f64 x 2) (-.f64 (.f64 (/.f64 -1/2 x) (/.f64 -1/2 x)) (.f64 x (/.f64 -1/2 x)))))
(/.f64 (-.f64 (pow.f64 x 2) (*.f64 (/.f64 -1/2 x) (/.f64 -1/2 x))) (-.f64 x (/.f64 -1/2 x)))
(pow.f64 (+.f64 x (/.f64 -1/2 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 x (/.f64 -1/2 x))) 3)
(pow.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (/.f64 -1/2 x))) 2)
(sqrt.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2))
(log.f64 (exp.f64 (+.f64 x (/.f64 -1/2 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (/.f64 -1/2 x)))))
(cbrt.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (/.f64 -1/2 x))))
(exp.f64 (log.f64 (+.f64 x (/.f64 -1/2 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (/.f64 -1/2 x))) 1))
(log1p.f64 (expm1.f64 (+.f64 x (/.f64 -1/2 x))))
(fma.f64 1 x (/.f64 -1/2 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (/.f64 -1/2 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (/.f64 -1/2 x))
(+.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)))) (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2)) (/.f64 1 (fma.f64 x x (+.f64 (fma.f64 x x -1) (.f64 x (sqrt.f64 (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 (+.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))) (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))))
(/.f64 1 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (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 (+.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (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 3) (pow.f64 (fma.f64 x x -1) 3/2))) (neg.f64 (fma.f64 x x (+.f64 (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 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))) 3)) (+.f64 (pow.f64 x 2) (-.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)
(pow.f64 (exp.f64 1) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(sqrt.f64 (pow.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))
(log.f64 (exp.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(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)))))
(log1p.f64 (expm1.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(fma.f64 1 x (neg.f64 (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (sqrt.f64 (fma.f64 x x -1))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (sqrt.f64 (fma.f64 x x -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 (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))) 3)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 2)
(fabs.f64 (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))))
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -1)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))
(+.f64 0 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)) (log.f64 (cbrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1)
(-.f64 (log.f64 (-.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x x -1) 3/2))) (log.f64 (fma.f64 x x (+.f64 (fma.f64 x x -1) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1))) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 1 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(*.f64 (sqrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3)
(pow.f64 (pow.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)
(sqrt.f64 (pow.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(exp.f64 (log.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(log1p.f64 (-.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) 1))

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

eval139.0ms (3.5%)

Compiler: Compiled 6085 to 4621 computations (24.1% saved)

prune50.0ms (1.3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	355	1	356
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	355	5	360

Accuracy

100.0%

Counts

360 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	3.4%	(neg.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
▶	99.3%	(log1p.f64 (-.f64 (+.f64 (*.f64 x 2) (/.f64 -1/2 x)) 1))
✓	99.3%	(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
✓	52.3%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	98.8%	(log.f64 (+.f64 x x))
✓	3.4%	(neg.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
▶	99.3%	(log1p.f64 (-.f64 (+.f64 (*.f64 x 2) (/.f64 -1/2 x)) 1))
✓	99.3%	(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
✓	52.3%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	98.8%	(log.f64 (+.f64 x x))

Compiler

Compiled 90 to 64 computations (28.9% saved)

localize54.0ms (1.4%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(-.f64 (+.f64 (*.f64 x 2) (/.f64 -1/2 x)) 1)
✓	100.0%	(log1p.f64 (-.f64 (+.f64 (*.f64 x 2) (/.f64 -1/2 x)) 1))

Compiler

Compiled 38 to 29 computations (23.7% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(log1p.f64 (-.f64 (+.f64 (*.f64 x 2) (/.f64 -1/2 x)) 1))
0.0ms	x	@	inf	(log1p.f64 (-.f64 (+.f64 (*.f64 x 2) (/.f64 -1/2 x)) 1))
0.0ms	x	@	-inf	(log1p.f64 (-.f64 (+.f64 (*.f64 x 2) (/.f64 -1/2 x)) 1))
0.0ms	x	@	0	(-.f64 (+.f64 (*.f64 x 2) (/.f64 -1/2 x)) 1)
0.0ms	x	@	inf	(-.f64 (+.f64 (*.f64 x 2) (/.f64 -1/2 x)) 1)

rewrite76.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1034×	`fma-def`
823×	`log1p-expm1-u`
823×	`expm1-log1p-u`
728×	`log-prod`
374×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	58
1	163	52
2	2302	52

Stop Event

1×	node limit

Counts

2 → 139

Calls

Call 1

Inputs
(log1p.f64 (-.f64 (+.f64 (*.f64 x 2) (/.f64 -1/2 x)) 1))
(-.f64 (+.f64 (*.f64 x 2) (/.f64 -1/2 x)) 1)

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

simplify95.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1040×	`distribute-lft-in`
1010×	`distribute-rgt-in`
754×	`fma-neg`
680×	`cancel-sign-sub-inv`
650×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	376	6679
1	897	6433
2	2634	6176

Stop Event

1×	node limit

Counts

163 → 227

Calls

Call 1

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

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

eval87.0ms (2.2%)

Compiler: Compiled 3938 to 3180 computations (19.2% saved)

prune35.0ms (0.9%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	226	1	227
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	227	5	232

Accuracy

100.0%

Counts

232 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	3.4%	(neg.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
▶	99.3%	(log1p.f64 (+.f64 (+.f64 (/.f64 -1/2 x) -1) (*.f64 x 2)))
✓	99.3%	(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
✓	52.3%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	98.8%	(log.f64 (+.f64 x x))
✓	3.4%	(neg.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
▶	99.3%	(log1p.f64 (+.f64 (+.f64 (/.f64 -1/2 x) -1) (*.f64 x 2)))
✓	99.3%	(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
✓	52.3%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	98.8%	(log.f64 (+.f64 x x))

Compiler

Compiled 90 to 64 computations (28.9% saved)

localize49.0ms (1.2%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(log1p.f64 (+.f64 (+.f64 (/.f64 -1/2 x) -1) (*.f64 x 2)))

Compiler

Compiled 36 to 28 computations (22.2% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(log1p.f64 (+.f64 (+.f64 (/.f64 -1/2 x) -1) (*.f64 x 2)))
0.0ms	x	@	0	(log1p.f64 (+.f64 (+.f64 (/.f64 -1/2 x) -1) (*.f64 x 2)))
0.0ms	x	@	-inf	(log1p.f64 (+.f64 (+.f64 (/.f64 -1/2 x) -1) (*.f64 x 2)))

rewrite64.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

861×	`log1p-expm1-u`
861×	`expm1-log1p-u`
848×	`fma-def`
754×	`log-prod`
376×	`pow-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	35
1	158	31
2	2268	31

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

Inputs
(log1p.f64 (+.f64 (+.f64 (/.f64 -1/2 x) -1) (*.f64 x 2)))

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

simplify55.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1112×	`associate-+l-`
840×	`sub-neg`
716×	`fma-def`
714×	`associate-+r-`
646×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	129	1712
1	301	1616
2	939	1504
3	4834	1504

Stop Event

1×	node limit

Counts

38 → 85

Calls

Call 1

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

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

eval31.0ms (0.8%)

Compiler: Compiled 1464 to 1188 computations (18.9% saved)

prune15.0ms (0.4%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	85	5	90

Accuracy

100.0%

Counts

90 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	3.4%	(neg.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
✓	99.3%	(log1p.f64 (+.f64 (+.f64 (/.f64 -1/2 x) -1) (*.f64 x 2)))
✓	99.3%	(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
✓	52.3%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	98.8%	(log.f64 (+.f64 x x))

Compiler

Compiled 96 to 68 computations (29.2% saved)

regimes25.0ms (0.6%)

Counts

6 → 1

Calls

Call 1

Inputs
(log.f64 (+.f64 x x))
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
(log1p.f64 (+.f64 (+.f64 (/.f64 -1/2 x) -1) (*.f64 x 2)))
(log1p.f64 (-.f64 (+.f64 (*.f64 x 2) (/.f64 -1/2 x)) 1))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(neg.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))

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

Calls

3 calls:

14.0ms	x
4.0ms	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
4.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))

Results

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

Compiler

Compiled 72 to 50 computations (30.6% 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
98.8%	1	`x`

Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	49
1	16	49
2	23	49
3	27	49
4	30	49
5	31	49

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

soundness100.0ms (2.5%)

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Compiler

Compiled 29 to 20 computations (31% saved)

end0.0ms (0%)

preprocess34.0ms (0.9%)

Compiler: Compiled 46 to 30 computations (34.8% saved)

analyze75.0ms (1.9%)

sample1.7s (43%)

preprocess258.0ms (6.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize46.0ms (1.2%)

series4.0ms (0.1%)

rewrite127.0ms (3.2%)

simplify77.0ms (2%)

eval95.0ms (2.4%)

prune35.0ms (0.9%)

localize355.0ms (9%)

series6.0ms (0.2%)

rewrite133.0ms (3.4%)

simplify117.0ms (3%)

eval139.0ms (3.5%)

prune50.0ms (1.3%)

localize54.0ms (1.4%)

series1.0ms (0%)

rewrite76.0ms (1.9%)

simplify95.0ms (2.4%)

eval87.0ms (2.2%)

prune35.0ms (0.9%)

localize49.0ms (1.2%)

series1.0ms (0%)

rewrite64.0ms (1.6%)

simplify55.0ms (1.4%)

eval31.0ms (0.8%)

prune15.0ms (0.4%)

regimes25.0ms (0.6%)

regimes3.0ms (0.1%)

simplify3.0ms (0.1%)

soundness100.0ms (2.5%)

end0.0ms (0%)

preprocess34.0ms (0.9%)

Profiling