Metrics for Hyperbolic arc-(co)secant

analyze3.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
33.3%	12.5%	25%	0%	0%	62.5%	0%	4
60%	18.7%	12.5%	0%	0%	68.7%	0%	5
77.8%	21.9%	6.2%	0%	0%	71.8%	0%	6
88.2%	23.4%	3.1%	0%	0%	73.4%	0%	7
93.9%	24.2%	1.6%	0%	0%	74.2%	0%	8
96.9%	24.6%	0.8%	0%	0%	74.6%	0%	9
98.4%	24.8%	0.4%	0%	0%	74.8%	0%	10
99.2%	24.9%	0.2%	0%	0%	74.9%	0%	11
99.6%	24.9%	0.1%	0%	0%	74.9%	0%	12

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.1s (24.6%)

Results

1.0s	8256×	body	256	valid
1.0ms	17×	body	256	invalid

Bogosity

preprocess169.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

1654×	`fma-def`
1242×	`sub-neg`
1138×	`distribute-lft-out`
842×	`associate-+r+`
722×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	86
1	39	82
2	61	82
3	119	82
4	174	82
5	256	82
6	382	82
7	656	82
8	1268	82
9	2148	82
10	4774	82
11	6496	82
12	7274	82
13	7572	82
14	7628	82
15	7660	82
16	7937	82

Stop Event

1×	node limit

Calls

Call 1

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

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify165.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

1468×	`fma-def`
1260×	`distribute-lft-out`
1098×	`unsub-neg`
798×	`distribute-rgt-in`
750×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	20	39
2	27	39
3	39	39
4	56	39
5	84	39
6	131	39
7	347	39
8	736	39
9	1570	39
10	2942	39
11	4651	39
12	5594	39
13	5912	39
14	6198	39
15	6367	39
16	6444	39
17	6711	39
18	7709	39

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 14 to 10 computations (28.6% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Accurracy

100.0%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
▶	100.0%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

Compiler

Compiled 28 to 20 computations (28.6% saved)

localize70.0ms (1.6%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiler

Compiled 54 to 30 computations (44.4% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite87.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1214×	`log-prod`
858×	`fma-def`
854×	`pow-prod-down`
648×	`pow-exp`
618×	`pow-prod-up`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	62
1	262	62
2	3765	58

Stop Event

1×	node limit

Counts

2 → 110

Calls

Call 1

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

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

simplify92.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

978×	`unswap-sqr`
664×	`associate-+l+`
654×	`associate-+r+`
604×	`log-prod`
384×	`sub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	396	6026
1	977	5708
2	3185	5596

Stop Event

1×	node limit

Counts

134 → 222

Calls

Call 1

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

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

eval90.0ms (2.1%)

Compiler: Compiled 4645 to 3215 computations (30.8% saved)

prune30.0ms (0.7%)

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

Accurracy

100.0%

Counts

223 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 2 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) x)))
✓	100.0%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
▶	99.2%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))
▶	99.6%	(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))
▶	100.0%	(.f64 2 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) x)))
✓	100.0%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
▶	99.2%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))
▶	99.6%	(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))

Compiler

Compiled 104 to 76 computations (26.9% saved)

localize156.0ms (3.6%)

Local Accuracy

Found 7 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x))
✓	100.0%	(fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
✓	99.6%	(/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x)
✓	100.0%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))
✓	100.0%	(+.f64 (*.f64 -1/2 x) (/.f64 1 x))
✓	100.0%	(+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x)))
✓	100.0%	(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))

Compiler

Compiled 137 to 83 computations (39.4% saved)

series60.0ms (1.4%)

Counts

7 → 67

Calls

21 calls:

Time	Variable		Point	Expression
23.0ms	x	@	0	(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))
15.0ms	x	@	-inf	(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))
13.0ms	x	@	inf	(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))
1.0ms	x	@	-inf	(/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x)
1.0ms	x	@	inf	(/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x)

rewrite129.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

1528×	`fma-def`
752×	`expm1-udef`
748×	`log1p-udef`
460×	`add-sqr-sqrt`
446×	`pow1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	189
1	452	167
2	6341	159

Stop Event

1×	node limit

Counts

7 → 278

Calls

Call 1

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

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

simplify97.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

220×	`*-commutative`
178×	`fma-udef`
144×	`sqr-pow`
116×	`+-commutative`
94×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	725	11845
1	2249	11845

Stop Event

1×

unsound

Counts

345 → 483

Calls

Call 1

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

Outputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(neg.f64 (log.f64 x))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 -1 (log.f64 x))))
(+.f64 (fma.f64 -2 (*.f64 x x) (neg.f64 (log.f64 x))) 0)
(+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -1/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (fma.f64 -2 (.f64 x x) (fma.f64 -1/32 (.f64 x x) (neg.f64 (log.f64 x)))) 0)
(+.f64 (.f64 -1/192 (pow.f64 x 6)) (+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -1/32 (pow.f64 x 4)) (.f64 -1 (log.f64 x))))))
(fma.f64 -1/192 (.f64 x x) (+.f64 (fma.f64 -2 (.f64 x x) (fma.f64 -1/32 (*.f64 x x) (neg.f64 (log.f64 x)))) 0))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 -2) (neg.f64 (neg.f64 (log.f64 x))))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (/.f64 4 (*.f64 x x))))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 -2) (neg.f64 (neg.f64 (log.f64 x)))) (+.f64 (/.f64 4 (.f64 x x)) (/.f64 8 (.f64 x x))))
(-.f64 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 64/3 (/.f64 1 (pow.f64 x 6))) (.f64 4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (+.f64 (log.f64 -2) (neg.f64 (neg.f64 (log.f64 x)))) (+.f64 (/.f64 8 (.f64 x x)) (+.f64 (/.f64 4 (.f64 x x)) (/.f64 64/3 (*.f64 x x)))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2))
(fma.f64 -2 (log.f64 (/.f64 -2 x)) 0)
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (.f64 4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 -2 (log.f64 (/.f64 -2 x)) 0) (/.f64 4 (*.f64 x x)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (fma.f64 -2 (log.f64 (/.f64 -2 x)) 0) (+.f64 (/.f64 4 (.f64 x x)) (/.f64 8 (.f64 x x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 64/3 (/.f64 1 (pow.f64 x 6))) (.f64 4 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (fma.f64 -2 (log.f64 (/.f64 -2 x)) 0) (+.f64 (/.f64 8 (.f64 x x)) (+.f64 (/.f64 4 (.f64 x x)) (/.f64 64/3 (*.f64 x x)))))
(/.f64 2 x)
(/.f64 0 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(fma.f64 -2 x (/.f64 0 x))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(fma.f64 -2 x (/.f64 0 x))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(fma.f64 -2 x (/.f64 0 x))
(*.f64 -1/2 x)
(neg.f64 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(fma.f64 -2 x (/.f64 0 x))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(fma.f64 -2 x (/.f64 0 x))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(fma.f64 -2 x (/.f64 0 x))
(*.f64 -1/2 x)
(neg.f64 x)
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(fma.f64 -2 x (/.f64 0 x))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(fma.f64 -2 x (/.f64 0 x))
(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))
(fma.f64 -2 x (/.f64 0 x))
(/.f64 1 x)
(/.f64 0 x)
(*.f64 -1/2 x)
(neg.f64 x)
(*.f64 -1/2 x)
(neg.f64 x)
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(neg.f64 (log.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(neg.f64 (log.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(neg.f64 (log.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(neg.f64 (log.f64 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(neg.f64 (log.f64 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(neg.f64 (log.f64 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(neg.f64 (log.f64 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(neg.f64 (log.f64 x))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 -2) (log.f64 (/.f64 -2 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 -2) (log.f64 (/.f64 -2 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 -2) (log.f64 (/.f64 -2 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 -2) (log.f64 (/.f64 -2 x)))
(sqrt.f64 (sqrt.f64 -1))
(sqrt.f64 (sqrt.f64 -2))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) (/.f64 1 x))) (sqrt.f64 (sqrt.f64 -1)))
(fma.f64 0 (*.f64 (/.f64 0 x) (sqrt.f64 (/.f64 0 (sqrt.f64 -2)))) (sqrt.f64 (sqrt.f64 -2)))
(+.f64 (.f64 1/2 (.f64 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))) 2)) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (sqrt.f64 -1))))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) (/.f64 1 x))) (sqrt.f64 (sqrt.f64 -1))))
(fma.f64 0 (.f64 (sqrt.f64 (/.f64 0 (sqrt.f64 -2))) (/.f64 (-.f64 (/.f64 0 (sqrt.f64 -2)) (pow.f64 (.f64 0 (sqrt.f64 (/.f64 0 (sqrt.f64 -2)))) 0)) (.f64 x x))) (fma.f64 0 (.f64 (/.f64 0 x) (sqrt.f64 (/.f64 0 (sqrt.f64 -2)))) (sqrt.f64 (sqrt.f64 -2))))
(+.f64 (.f64 -1/4 (.f64 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))) 2)) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (sqrt.f64 -1)))) 2)) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (sqrt.f64 -1))))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (sqrt.f64 -1))) (/.f64 1 x))) (sqrt.f64 (sqrt.f64 -1)))))
(fma.f64 -2 (.f64 (/.f64 (-.f64 (/.f64 0 (sqrt.f64 -2)) (pow.f64 (.f64 0 (sqrt.f64 (/.f64 0 (sqrt.f64 -2)))) 0)) (.f64 x x)) (sqrt.f64 (/.f64 0 (pow.f64 (sqrt.f64 -2) 6)))) (fma.f64 0 (.f64 (sqrt.f64 (/.f64 0 (sqrt.f64 -2))) (/.f64 (-.f64 (/.f64 0 (sqrt.f64 -2)) (pow.f64 (.f64 0 (sqrt.f64 (/.f64 0 (sqrt.f64 -2)))) 0)) (.f64 x x))) (fma.f64 0 (*.f64 (/.f64 0 x) (sqrt.f64 (/.f64 0 (sqrt.f64 -2)))) (sqrt.f64 (sqrt.f64 -2)))))
(*.f64 -1 (sqrt.f64 (pow.f64 (sqrt.f64 -1) 3)))
(neg.f64 (sqrt.f64 (pow.f64 (sqrt.f64 -2) 6)))
(+.f64 (.f64 -1 (sqrt.f64 (pow.f64 (sqrt.f64 -1) 3))) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (/.f64 1 x))))
(fma.f64 -2 (sqrt.f64 (pow.f64 (sqrt.f64 -2) 6)) (.f64 -2 (.f64 (/.f64 0 x) (sqrt.f64 (/.f64 0 (pow.f64 (sqrt.f64 -2) 6))))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) 2)) (pow.f64 x 2)))) (+.f64 (.f64 -1 (sqrt.f64 (pow.f64 (sqrt.f64 -1) 3))) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (/.f64 1 x)))))
(fma.f64 0 (.f64 (sqrt.f64 (/.f64 0 (pow.f64 (sqrt.f64 -2) 6))) (/.f64 (+.f64 (/.f64 0 (sqrt.f64 -2)) (pow.f64 (.f64 -2 (sqrt.f64 (/.f64 0 (pow.f64 (sqrt.f64 -2) 6)))) 0)) (.f64 x x))) (fma.f64 -2 (sqrt.f64 (pow.f64 (sqrt.f64 -2) 6)) (.f64 -2 (*.f64 (/.f64 0 x) (sqrt.f64 (/.f64 0 (pow.f64 (sqrt.f64 -2) 6)))))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) 2)) (pow.f64 x 2)))) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 9))) (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (pow.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) 2)) (pow.f64 x 3)))) (+.f64 (.f64 -1 (sqrt.f64 (pow.f64 (sqrt.f64 -1) 3))) (.f64 -1/2 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (/.f64 1 x))))))
(fma.f64 0 (.f64 (sqrt.f64 (/.f64 0 (pow.f64 (sqrt.f64 -2) 6))) (/.f64 (+.f64 (/.f64 0 (sqrt.f64 -2)) (pow.f64 (.f64 -2 (sqrt.f64 (/.f64 0 (pow.f64 (sqrt.f64 -2) 6)))) 0)) (.f64 x x))) (fma.f64 -2 (.f64 (/.f64 (+.f64 (/.f64 0 (sqrt.f64 -2)) (pow.f64 (.f64 -2 (sqrt.f64 (/.f64 0 (pow.f64 (sqrt.f64 -2) 6)))) 0)) (.f64 x x)) (sqrt.f64 (/.f64 0 (pow.f64 (sqrt.f64 -2) 9)))) (fma.f64 -2 (sqrt.f64 (pow.f64 (sqrt.f64 -2) 6)) (.f64 -2 (.f64 (/.f64 0 x) (sqrt.f64 (/.f64 0 (pow.f64 (sqrt.f64 -2) 6))))))))
(*.f64 2 x)
(+.f64 x x)
(+.f64 (.f64 2 x) (.f64 -1/2 (pow.f64 x 3)))
(fma.f64 0 x (.f64 -2 (.f64 x x)))
(+.f64 (.f64 2 x) (+.f64 (.f64 -1/2 (pow.f64 x 3)) (*.f64 -1/8 (pow.f64 x 5))))
(fma.f64 0 x (fma.f64 -2 (.f64 x x) (.f64 -2 (pow.f64 x 5))))
(+.f64 (.f64 2 x) (+.f64 (.f64 -1/2 (pow.f64 x 3)) (+.f64 (.f64 -1/16 (pow.f64 x 7)) (.f64 -1/8 (pow.f64 x 5)))))
(fma.f64 0 x (fma.f64 -2 (.f64 x x) (fma.f64 -1/16 (pow.f64 x 7) (.f64 -2 (pow.f64 x 5)))))
(*.f64 (sqrt.f64 -1) (pow.f64 x 2))
(.f64 (.f64 x x) (sqrt.f64 -2))
(+.f64 x (*.f64 (sqrt.f64 -1) (pow.f64 x 2)))
(+.f64 x (.f64 (.f64 x x) (sqrt.f64 -2)))
(+.f64 x (+.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (.f64 (sqrt.f64 -1) (pow.f64 x 2))))
(+.f64 x (+.f64 (/.f64 0 (sqrt.f64 -2)) (.f64 (.f64 x x) (sqrt.f64 -2))))
(-.f64 (+.f64 x (+.f64 (.f64 1/2 (/.f64 1 (sqrt.f64 -1))) (.f64 (sqrt.f64 -1) (pow.f64 x 2)))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 2)))))
(-.f64 (+.f64 x (+.f64 (/.f64 0 (sqrt.f64 -2)) (.f64 (.f64 x x) (sqrt.f64 -2)))) (/.f64 0 (.f64 (.f64 x x) (pow.f64 (sqrt.f64 -2) 6))))
(.f64 -1 (.f64 (sqrt.f64 -1) (pow.f64 x 2)))
(neg.f64 (.f64 (.f64 x x) (sqrt.f64 -2)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))) x)
(fma.f64 -2 (.f64 (.f64 x x) (sqrt.f64 -2)) x)
(-.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))) x) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))))
(-.f64 (fma.f64 -2 (.f64 (.f64 x x) (sqrt.f64 -2)) x) (/.f64 0 (sqrt.f64 -2)))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 x 2)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) (pow.f64 x 2))) x)) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))))
(+.f64 (/.f64 0 (.f64 (.f64 x x) (pow.f64 (sqrt.f64 -2) 6))) (-.f64 (fma.f64 -2 (.f64 (.f64 x x) (sqrt.f64 -2)) x) (/.f64 0 (sqrt.f64 -2))))
(log.f64 (sqrt.f64 (sqrt.f64 -1)))
(log.f64 (sqrt.f64 (sqrt.f64 -2)))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (log.f64 (sqrt.f64 (sqrt.f64 -1))))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 -2))) (/.f64 0 (*.f64 x (sqrt.f64 -2))))
(+.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) x))) (log.f64 (sqrt.f64 (sqrt.f64 -1))))
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(.f64 (cbrt.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x))) 2))
(log.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 0 (*.f64 x x))) x) x))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) x))) 2) (cbrt.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x))))
(log.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 0 (*.f64 x x))) x) x))
(.f64 (sqrt.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) x))) (sqrt.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x))))
(log.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 0 (*.f64 x x))) x) x))
(/.f64 (-.f64 (pow.f64 (log.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x))) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (log.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (fma.f64 (log.f64 x) (log.f64 x) (.f64 (log.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 0 (.f64 x x))) x)) 0) (pow.f64 (log.f64 x) 0)) (fma.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 0 (.f64 x x))) x)) (log.f64 (fma.f64 x (sqrt.f64 (-.f64 0 (.f64 x x))) x)) (fma.f64 (log.f64 x) (log.f64 x) (.f64 (log.f64 x) (log.f64 (fma.f64 x (sqrt.f64 (-.f64 0 (*.f64 x x))) x))))))
(/.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x))) (log.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)))) (.f64 (log.f64 x) (log.f64 x))) (fma.f64 1/2 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (log.f64 x)))
(/.f64 (.f64 (+.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 0 (.f64 x x))) x)) (log.f64 x)) (log.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 0 (.f64 x x))) x) x))) (+.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 0 (.f64 x x))) x)) (log.f64 x)))
(pow.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x)) 1)
(log.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 0 (*.f64 x x))) x) x))
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x))) 3)
(log.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 0 (*.f64 x x))) x) x))
(pow.f64 (pow.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x)) 3) 1/3)
(log.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 0 (*.f64 x x))) x) x))
(pow.f64 (sqrt.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x))) 2)
(log.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 0 (*.f64 x x))) x) x))
(neg.f64 (log.f64 (/.f64 x (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))))
(neg.f64 (log.f64 (/.f64 x (fma.f64 x (sqrt.f64 (-.f64 0 (*.f64 x x))) x))))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x)) 2))
(sqrt.f64 (log.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 0 (*.f64 x x))) x) x)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x)) 3))
(log.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 0 (*.f64 x x))) x) x))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x))))
(log.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 0 (*.f64 x x))) x) x))
(exp.f64 (log.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x))))
(log.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 0 (*.f64 x x))) x) x))
(exp.f64 (.f64 (log.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) x))) 1))
(log.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 0 (*.f64 x x))) x) x))
(log1p.f64 (-.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) x) 1))
(log1p.f64 (+.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 0 (*.f64 x x))) x) x) -2))
(fma.f64 1 (log.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x))) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 0 (*.f64 x x))) x) x))
(fma.f64 1/2 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (*.f64 x x))) x)) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 (fma.f64 x (sqrt.f64 (-.f64 0 (*.f64 x x))) x) x))
(fma.f64 (.f64 (cbrt.f64 (log.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)))) (cbrt.f64 (log.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x))))) (cbrt.f64 (log.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)))) (neg.f64 (log.f64 x)))
(fma.f64 (.f64 (cbrt.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 0 (.f64 x x))) x))) (cbrt.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 0 (.f64 x x))) x)))) (cbrt.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 0 (.f64 x x))) x))) (neg.f64 (log.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)))) (sqrt.f64 (log.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)))) (neg.f64 (log.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 0 (.f64 x x))) x))) (sqrt.f64 (log.f64 (fma.f64 x (sqrt.f64 (-.f64 0 (.f64 x x))) x))) (neg.f64 (log.f64 x)))

eval184.0ms (4.3%)

Compiler: Compiled 9327 to 6672 computations (28.5% saved)

prune84.0ms (2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	478	5	483
Fresh	0	0	0
Picked	3	0	3
Done	0	1	1
Total	481	6	487

Accurracy

100.0%

Counts

487 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(*.f64 2 (log.f64 (/.f64 (sqrt.f64 (+.f64 x x)) x)))
▶	31.3%	(neg.f64 (log.f64 x))
▶	99.2%	(log.f64 (/.f64 2 x))
✓	100.0%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
▶	99.6%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
	3.1%	0
▶	99.2%	(*.f64 2 (log.f64 (/.f64 (sqrt.f64 (+.f64 x x)) x)))
▶	31.3%	(neg.f64 (log.f64 x))
▶	99.2%	(log.f64 (/.f64 2 x))
✓	100.0%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
▶	99.6%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
	3.1%	0

Compiler

Compiled 92 to 70 computations (23.9% saved)

localize95.0ms (2.2%)

Local Accuracy

Found 5 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(log.f64 (/.f64 (sqrt.f64 (+.f64 x x)) x))
✓	99.6%	(/.f64 (sqrt.f64 (+.f64 x x)) x)
✓	100.0%	(log.f64 (/.f64 2 x))
✓	100.0%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
✓	100.0%	(+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x)))

Compiler

Compiled 82 to 43 computations (47.6% saved)

series18.0ms (0.4%)

Counts

5 → 27

Calls

15 calls:

Time	Variable		Point	Expression
7.0ms	x	@	0	(log.f64 (/.f64 2 x))
6.0ms	x	@	-inf	(log.f64 (/.f64 2 x))
1.0ms	x	@	-inf	(/.f64 (sqrt.f64 (+.f64 x x)) x)
1.0ms	x	@	-inf	(log.f64 (/.f64 (sqrt.f64 (+.f64 x x)) x))
1.0ms	x	@	0	(log.f64 (/.f64 (sqrt.f64 (+.f64 x x)) x))

rewrite94.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1458×	`log-prod`
846×	`fma-def`
556×	`expm1-udef`
554×	`log1p-udef`
472×	`log-pow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	83
1	379	75
2	4797	75

Stop Event

1×	node limit

Counts

5 → 238

Calls

Call 1

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

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

simplify99.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1250×	`fma-neg`
856×	`log-prod`
536×	`sub-neg`
432×	`div-sub`
384×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	539	6455
1	1195	5287
2	4371	5183

Stop Event

1×	node limit

Counts

265 → 349

Calls

Call 1

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

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

eval96.0ms (2.2%)

Compiler: Compiled 4865 to 3110 computations (36.1% saved)

prune48.0ms (1.1%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	346	3	349
Fresh	0	1	1
Picked	1	3	4
Done	0	1	1
Total	347	8	355

Accurracy

100.0%

Counts

355 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(.f64 1/3 (.f64 3 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
▶	98.7%	(.f64 1/3 (.f64 3 (log.f64 (/.f64 2 x))))
▶	99.2%	(neg.f64 (log.f64 (*.f64 x 1/2)))
✓	31.3%	(neg.f64 (log.f64 x))
✓	99.2%	(log.f64 (/.f64 2 x))
✓	100.0%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
✓	99.6%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
	3.1%	0
▶	99.1%	(.f64 1/3 (.f64 3 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
▶	98.7%	(.f64 1/3 (.f64 3 (log.f64 (/.f64 2 x))))
▶	99.2%	(neg.f64 (log.f64 (*.f64 x 1/2)))
✓	31.3%	(neg.f64 (log.f64 x))
✓	99.2%	(log.f64 (/.f64 2 x))
✓	100.0%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
✓	99.6%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
	3.1%	0

Compiler

Compiled 126 to 102 computations (19% saved)

localize116.0ms (2.7%)

Local Accuracy

Found 7 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(log.f64 (fma.f64 -1/2 x (/.f64 2 x)))
✓	100.0%	(fma.f64 -1/2 x (/.f64 2 x))
✓	99.5%	(*.f64 3 (log.f64 (fma.f64 -1/2 x (/.f64 2 x))))
✓	99.5%	(.f64 1/3 (.f64 3 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
	100.0%	(log.f64 (/.f64 2 x))
✓	99.5%	(*.f64 3 (log.f64 (/.f64 2 x)))
✓	99.5%	(.f64 1/3 (.f64 3 (log.f64 (/.f64 2 x))))

Compiler

Compiled 82 to 63 computations (23.2% saved)

series4.0ms (0.1%)

Counts

6 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(*.f64 3 (log.f64 (/.f64 2 x)))
0.0ms	x	@	0	(*.f64 3 (log.f64 (/.f64 2 x)))
0.0ms	x	@	-inf	(.f64 1/3 (.f64 3 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
0.0ms	x	@	inf	(*.f64 3 (log.f64 (/.f64 2 x)))
0.0ms	x	@	inf	(.f64 1/3 (.f64 3 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))

rewrite98.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1300×	`log-prod`
660×	`pow-prod-down`
622×	`pow-prod-up`
522×	`pow-exp`
508×	`expm1-udef`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	106
1	346	106
2	3441	106

Stop Event

1×	node limit

Counts

6 → 245

Calls

Call 1

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

Outputs
(+.f64 (log.f64 (/.f64 2 x)) 0)
(+.f64 (log.f64 (/.f64 2 x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))
(+.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 (sqrt.f64 (/.f64 2 x))) (log.f64 (sqrt.f64 (/.f64 2 x))))
(+.f64 0 (log.f64 (/.f64 2 x)))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 2 x)))) (log.f64 (cbrt.f64 (/.f64 2 x))))
(+.f64 (log.f64 (cbrt.f64 (/.f64 2 x))) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 2 x)))))
(+.f64 (log.f64 -2) (log.f64 (/.f64 1 (neg.f64 x))))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 2))
(+.f64 (fma.f64 1 (log.f64 2) (neg.f64 (.f64 (log.f64 x) 1))) (fma.f64 (neg.f64 (log.f64 x)) 1 (.f64 (log.f64 x) 1)))
(+.f64 (fma.f64 1 (log.f64 2) (neg.f64 (.f64 (cbrt.f64 (log.f64 x)) (.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x)))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x))) (.f64 (cbrt.f64 (log.f64 x)) (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x))))))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (log.f64 2)) (cbrt.f64 (log.f64 2))) (cbrt.f64 (log.f64 2)) (neg.f64 (.f64 (log.f64 x) 1))) (fma.f64 (neg.f64 (log.f64 x)) 1 (*.f64 (log.f64 x) 1)))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (log.f64 2)) (cbrt.f64 (log.f64 2))) (cbrt.f64 (log.f64 2)) (neg.f64 (.f64 (cbrt.f64 (log.f64 x)) (.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x)))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x))) (.f64 (cbrt.f64 (log.f64 x)) (.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x))))))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (.f64 (log.f64 x) 1))) (fma.f64 (neg.f64 (log.f64 x)) 1 (.f64 (log.f64 x) 1)))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (.f64 (cbrt.f64 (log.f64 x)) (.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x)))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x))) (.f64 (cbrt.f64 (log.f64 x)) (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x))))))
(-.f64 (log.f64 2) (log.f64 x))
(-.f64 (log.f64 2) (log.f64 (neg.f64 (neg.f64 x))))
(-.f64 (log1p.f64 -2) (log.f64 (neg.f64 (*.f64 x 1/2))))
(-.f64 0 (log.f64 (*.f64 x 1/2)))
(-.f64 0 (log.f64 (/.f64 (*.f64 x 1/2) 1)))
(-.f64 (log.f64 -2) (log.f64 (neg.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 2 x)))) 1)
(-.f64 (log.f64 (/.f64 2 (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x)))
(-.f64 (log.f64 (/.f64 2 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 2) 2) (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (*.f64 2 x)))
(pow.f64 (log.f64 (/.f64 2 x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 2 x))) 2)
(neg.f64 (log.f64 (*.f64 x 1/2)))
(neg.f64 (log.f64 (/.f64 (*.f64 x 1/2) 1)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2))
(log.f64 (/.f64 2 x))
(log.f64 (+.f64 1 (-.f64 (/.f64 2 x) 1)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 x))))
(exp.f64 (log.f64 (log.f64 (/.f64 2 x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 2 x))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 (/.f64 2 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (/.f64 2 x)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (/.f64 2 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (/.f64 2 x)))) 2))
(log1p.f64 (-.f64 (/.f64 2 x) 1))
(fma.f64 1 (log.f64 2) (neg.f64 (log.f64 x)))
(fma.f64 (*.f64 (cbrt.f64 (log.f64 2)) (cbrt.f64 (log.f64 2))) (cbrt.f64 (log.f64 2)) (neg.f64 (log.f64 x)))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 (/.f64 2 x)) (*.f64 2 (log.f64 (/.f64 2 x))))
(+.f64 0 (*.f64 3 (log.f64 (/.f64 2 x))))
(+.f64 (*.f64 2 (log.f64 (/.f64 2 x))) (log.f64 (/.f64 2 x)))
(+.f64 (log.f64 (pow.f64 (/.f64 2 x) 3/2)) (log.f64 (pow.f64 (/.f64 2 x) 3/2)))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (/.f64 2 x) 3))) (log.f64 (sqrt.f64 (pow.f64 (/.f64 2 x) 3))))
(+.f64 (log.f64 (.f64 (.f64 4 (pow.f64 x -2)) 2)) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 (.f64 (.f64 4 (pow.f64 x -2)) 1)) (log.f64 (/.f64 2 x)))
(+.f64 (log.f64 (pow.f64 (*.f64 (/.f64 2 x) (cbrt.f64 (/.f64 2 x))) 2)) (log.f64 (cbrt.f64 (/.f64 2 x))))
(+.f64 (log.f64 (pow.f64 (/.f64 2 x) 5/2)) (log.f64 (sqrt.f64 (/.f64 2 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3 (log.f64 (/.f64 2 x))))) 1)
(-.f64 (.f64 2 (log.f64 (/.f64 2 x))) (log.f64 (.f64 x 1/2)))
(-.f64 (log.f64 (.f64 (.f64 4 (pow.f64 x -2)) 2)) (log.f64 x))
(-.f64 (log.f64 (.f64 (.f64 4 (pow.f64 x -2)) 1)) (log.f64 (*.f64 x 1/2)))
(-.f64 (log.f64 (.f64 (.f64 4 (pow.f64 x -2)) -2)) (log.f64 (neg.f64 x)))
(pow.f64 (*.f64 3 (log.f64 (/.f64 2 x))) 1)
(pow.f64 (cbrt.f64 (*.f64 3 (log.f64 (/.f64 2 x)))) 3)
(pow.f64 (*.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) 9) 1/2)
(pow.f64 (pow.f64 (*.f64 3 (log.f64 (/.f64 2 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 3 (log.f64 (/.f64 2 x)))) 2)
(sqrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2) 9))
(log.f64 (pow.f64 (/.f64 2 x) 3))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 2 x) 3) 1)))
(cbrt.f64 (pow.f64 (*.f64 3 (log.f64 (/.f64 2 x))) 3))
(expm1.f64 (log1p.f64 (*.f64 3 (log.f64 (/.f64 2 x)))))
(exp.f64 (log.f64 (*.f64 3 (log.f64 (/.f64 2 x)))))
(exp.f64 (.f64 (log.f64 (.f64 3 (log.f64 (/.f64 2 x)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 3 (log.f64 (/.f64 2 x)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 3 (log.f64 (/.f64 2 x))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 3 (log.f64 (/.f64 2 x))))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 3 (log.f64 (/.f64 2 x))))) 2))
(log1p.f64 (-.f64 (pow.f64 (/.f64 2 x) 3) 1))
(+.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 0)
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))))) (log.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(+.f64 (log.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))) (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))))))
(+.f64 0 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))) (log.f64 (sqrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 (.f64 x -1/2) 3) (pow.f64 (/.f64 2 x) 3))) (log.f64 (+.f64 (pow.f64 (.f64 x -1/2) 2) (-.f64 (.f64 4 (pow.f64 x -2)) (.f64 (*.f64 x -1/2) (/.f64 2 x))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (.f64 x -1/2) 2) (.f64 4 (pow.f64 x -2)))) (log.f64 (-.f64 (*.f64 x -1/2) (/.f64 2 x))))
(pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(log.f64 (+.f64 1 (-.f64 (fma.f64 x -1/2 (/.f64 2 x)) 1)))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(exp.f64 (log.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 2))
(log1p.f64 (-.f64 (fma.f64 x -1/2 (/.f64 2 x)) 1))
(+.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) (*.f64 2 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(+.f64 0 (log.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 3)))
(+.f64 (*.f64 2 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(+.f64 (log.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 3/2)) (log.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 3/2)))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 3))) (log.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 3))))
(+.f64 (log.f64 (*.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 2) 1)) (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(+.f64 (log.f64 (pow.f64 (*.f64 (fma.f64 x -1/2 (/.f64 2 x)) (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2)) (log.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(+.f64 (log.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 5/2)) (log.f64 (sqrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 3)))) 1)
(pow.f64 (log.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 3)) 1)
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 3))) 3)
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simplify133.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1294×	`fma-neg`
874×	`log-prod`
546×	`fma-def`
508×	`sqr-pow`
456×	`sub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	595	8737
1	1474	8195
2	4929	8149

Stop Event

1×	node limit

Counts

317 → 336

Calls

Call 1

Inputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(.f64 3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 x))))
(.f64 3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 x))))
(.f64 3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 x))))
(.f64 3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 x))))
(*.f64 3 (+.f64 (log.f64 2) (log.f64 (/.f64 1 x))))
(*.f64 3 (+.f64 (log.f64 2) (log.f64 (/.f64 1 x))))
(*.f64 3 (+.f64 (log.f64 2) (log.f64 (/.f64 1 x))))
(*.f64 3 (+.f64 (log.f64 2) (log.f64 (/.f64 1 x))))
(*.f64 3 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2)))
(*.f64 3 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2)))
(*.f64 3 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2)))
(*.f64 3 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2)))
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(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 64/3 (/.f64 1 (pow.f64 x 6))) (.f64 4 (/.f64 1 (pow.f64 x 2))))))
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(.f64 3 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))))
(-.f64 (.f64 3 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x))))) (*.f64 12 (/.f64 1 (pow.f64 x 2))))
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(.f64 3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)))
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(/.f64 2 x)
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(*.f64 -1/2 x)
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(*.f64 -1/2 x)
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(+.f64 (fma.f64 (.f64 (cbrt.f64 (log.f64 2)) (cbrt.f64 (log.f64 2))) (cbrt.f64 (log.f64 2)) (neg.f64 (.f64 (log.f64 x) 1))) (fma.f64 (neg.f64 (log.f64 x)) 1 (*.f64 (log.f64 x) 1)))
(+.f64 (fma.f64 (.f64 (cbrt.f64 (log.f64 2)) (cbrt.f64 (log.f64 2))) (cbrt.f64 (log.f64 2)) (neg.f64 (.f64 (cbrt.f64 (log.f64 x)) (.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x)))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x))) (.f64 (cbrt.f64 (log.f64 x)) (.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x))))))
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(-.f64 (log.f64 2) (log.f64 x))
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(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (*.f64 2 x)))
(pow.f64 (log.f64 (/.f64 2 x)) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 2 x))) 3)
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(expm1.f64 (log1p.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(exp.f64 (log.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 2))
(log1p.f64 (-.f64 (fma.f64 x -1/2 (/.f64 2 x)) 1))

Outputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2))
(log.f64 (/.f64 2 x))
(.f64 3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 x))))
(log.f64 (pow.f64 (/.f64 2 x) 3))
(log.f64 (/.f64 8 (pow.f64 x 3)))
(.f64 3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 x))))
(log.f64 (pow.f64 (/.f64 2 x) 3))
(log.f64 (/.f64 8 (pow.f64 x 3)))
(.f64 3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 x))))
(log.f64 (pow.f64 (/.f64 2 x) 3))
(log.f64 (/.f64 8 (pow.f64 x 3)))
(.f64 3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 x))))
(log.f64 (pow.f64 (/.f64 2 x) 3))
(log.f64 (/.f64 8 (pow.f64 x 3)))
(*.f64 3 (+.f64 (log.f64 2) (log.f64 (/.f64 1 x))))
(log.f64 (pow.f64 (/.f64 2 x) 3))
(log.f64 (/.f64 8 (pow.f64 x 3)))
(*.f64 3 (+.f64 (log.f64 2) (log.f64 (/.f64 1 x))))
(log.f64 (pow.f64 (/.f64 2 x) 3))
(log.f64 (/.f64 8 (pow.f64 x 3)))
(*.f64 3 (+.f64 (log.f64 2) (log.f64 (/.f64 1 x))))
(log.f64 (pow.f64 (/.f64 2 x) 3))
(log.f64 (/.f64 8 (pow.f64 x 3)))
(*.f64 3 (+.f64 (log.f64 2) (log.f64 (/.f64 1 x))))
(log.f64 (pow.f64 (/.f64 2 x) 3))
(log.f64 (/.f64 8 (pow.f64 x 3)))
(*.f64 3 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2)))
(log.f64 (pow.f64 (/.f64 2 x) 3))
(log.f64 (/.f64 8 (pow.f64 x 3)))
(*.f64 3 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2)))
(log.f64 (pow.f64 (/.f64 2 x) 3))
(log.f64 (/.f64 8 (pow.f64 x 3)))
(*.f64 3 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2)))
(log.f64 (pow.f64 (/.f64 2 x) 3))
(log.f64 (/.f64 8 (pow.f64 x 3)))
(*.f64 3 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -2)))
(log.f64 (pow.f64 (/.f64 2 x) 3))
(log.f64 (/.f64 8 (pow.f64 x 3)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(log.f64 (/.f64 2 x))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (.f64 -1 (log.f64 x))))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (neg.f64 (log.f64 x))))
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(+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -1/32 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (fma.f64 -1/32 (pow.f64 x 4) (neg.f64 (log.f64 x)))))
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(+.f64 (.f64 -1/192 (pow.f64 x 6)) (+.f64 (log.f64 2) (+.f64 (.f64 -1/4 (pow.f64 x 2)) (+.f64 (.f64 -1/32 (pow.f64 x 4)) (.f64 -1 (log.f64 x))))))
(fma.f64 -1/192 (pow.f64 x 6) (+.f64 (log.f64 2) (fma.f64 -1/4 (*.f64 x x) (fma.f64 -1/32 (pow.f64 x 4) (neg.f64 (log.f64 x))))))
(fma.f64 -1/192 (pow.f64 x 6) (+.f64 (fma.f64 -1/4 (.f64 x x) (.f64 -1/32 (pow.f64 x 4))) (log.f64 (/.f64 2 x))))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 (/.f64 1 x))))
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(+.f64 (log.f64 -1/2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 8 (pow.f64 x 4)))))
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(-.f64 (log.f64 (*.f64 x -1/2)) (+.f64 (/.f64 8 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 4 x) x) (/.f64 64/3 (pow.f64 x 6)))))
(+.f64 (-.f64 (log.f64 (.f64 x -1/2)) (+.f64 (/.f64 8 (pow.f64 x 4)) (/.f64 64/3 (pow.f64 x 6)))) (/.f64 -4 (.f64 x x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2))
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(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (*.f64 4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 -1/2) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 8 (pow.f64 x 4)))))
(-.f64 (+.f64 (log.f64 (.f64 x -1/2)) (/.f64 -4 (.f64 x x))) (/.f64 8 (pow.f64 x 4)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)) (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 64/3 (/.f64 1 (pow.f64 x 6))) (.f64 4 (/.f64 1 (pow.f64 x 2))))))
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(-.f64 (log.f64 (*.f64 x -1/2)) (+.f64 (/.f64 8 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 4 x) x) (/.f64 64/3 (pow.f64 x 6)))))
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(.f64 3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 x))))
(log.f64 (pow.f64 (/.f64 2 x) 3))
(log.f64 (/.f64 8 (pow.f64 x 3)))
(+.f64 (.f64 3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 x)))) (*.f64 -3/4 (pow.f64 x 2)))
(fma.f64 3 (log.f64 (/.f64 2 x)) (.f64 (.f64 x x) -3/4))
(fma.f64 3 (log.f64 (/.f64 2 x)) (.f64 x (.f64 x -3/4)))
(+.f64 (.f64 3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 x)))) (+.f64 (.f64 -3/4 (pow.f64 x 2)) (.f64 -3/32 (pow.f64 x 4))))
(fma.f64 3 (log.f64 (/.f64 2 x)) (fma.f64 -3/4 (.f64 x x) (.f64 (pow.f64 x 4) -3/32)))
(fma.f64 3 (log.f64 (/.f64 2 x)) (fma.f64 (pow.f64 x 4) -3/32 (.f64 x (.f64 x -3/4))))
(+.f64 (.f64 -1/64 (pow.f64 x 6)) (+.f64 (.f64 3 (+.f64 (log.f64 2) (.f64 -1 (log.f64 x)))) (+.f64 (.f64 -3/4 (pow.f64 x 2)) (*.f64 -3/32 (pow.f64 x 4)))))
(fma.f64 -1/64 (pow.f64 x 6) (fma.f64 3 (log.f64 (/.f64 2 x)) (fma.f64 -3/4 (.f64 x x) (.f64 (pow.f64 x 4) -3/32))))
(fma.f64 (pow.f64 x 6) -1/64 (fma.f64 3 (log.f64 (/.f64 2 x)) (fma.f64 (pow.f64 x 4) -3/32 (.f64 x (.f64 x -3/4)))))
(.f64 3 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x)))))
(*.f64 3 (+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x)))))
(.f64 3 (log.f64 (.f64 x -1/2)))
(-.f64 (.f64 3 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x))))) (*.f64 12 (/.f64 1 (pow.f64 x 2))))
(fma.f64 3 (+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x)))) (neg.f64 (/.f64 12 (*.f64 x x))))
(fma.f64 3 (log.f64 (.f64 x -1/2)) (/.f64 -12 (.f64 x x)))
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(fma.f64 3 (+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x)))) (neg.f64 (+.f64 (/.f64 12 (*.f64 x x)) (/.f64 24 (pow.f64 x 4)))))
(-.f64 (fma.f64 3 (log.f64 (.f64 x -1/2)) (/.f64 -12 (.f64 x x))) (/.f64 24 (pow.f64 x 4)))
(-.f64 (.f64 3 (+.f64 (log.f64 -1/2) (.f64 -1 (log.f64 (/.f64 1 x))))) (+.f64 (.f64 24 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 64 (/.f64 1 (pow.f64 x 6))) (*.f64 12 (/.f64 1 (pow.f64 x 2))))))
(fma.f64 3 (+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x)))) (neg.f64 (+.f64 (/.f64 24 (pow.f64 x 4)) (+.f64 (/.f64 12 (*.f64 x x)) (/.f64 64 (pow.f64 x 6))))))
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(.f64 3 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 1/2)))
(*.f64 3 (+.f64 (log.f64 -1/2) (neg.f64 (neg.f64 (log.f64 x)))))
(.f64 3 (log.f64 (.f64 x -1/2)))
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(/.f64 2 x)
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(*.f64 -1/2 x)
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(*.f64 -1/2 x)
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(pow.f64 (pow.f64 (E.f64) (.f64 1/3 (pow.f64 (cbrt.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 2))) (cbrt.f64 (*.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))))
(pow.f64 (pow.f64 (exp.f64 1) (*.f64 1/3 (sqrt.f64 (log.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 3))))) (sqrt.f64 (log.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 3))))
(pow.f64 (pow.f64 (E.f64) (.f64 1/3 (sqrt.f64 (.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))))) (sqrt.f64 (*.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2)) 1) (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(fma.f64 x -1/2 (/.f64 2 x))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2)) (cbrt.f64 1/3)) (cbrt.f64 (log.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 3))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2)) (cbrt.f64 1/3)) (cbrt.f64 (*.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2)) (cbrt.f64 (log.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 3)))) (cbrt.f64 1/3))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2)) (cbrt.f64 (*.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))) (cbrt.f64 1/3))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))) (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))))) (cbrt.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))) (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 1) (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(fma.f64 x -1/2 (/.f64 2 x))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) (cbrt.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) (sqrt.f64 1/3)) (sqrt.f64 (log.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 3))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) (sqrt.f64 1/3)) (sqrt.f64 (*.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) (sqrt.f64 (log.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 3)))) (sqrt.f64 1/3))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) (sqrt.f64 (*.f64 3 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))) (sqrt.f64 1/3))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) (fabs.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))) (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) (sqrt.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) (sqrt.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))) (sqrt.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))))
(sqrt.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 2))
(fma.f64 x -1/2 (/.f64 2 x))
(log.f64 (exp.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(fma.f64 x -1/2 (/.f64 2 x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(fma.f64 x -1/2 (/.f64 2 x))
(log.f64 (.f64 (exp.f64 (/.f64 2 x)) (exp.f64 (.f64 x -1/2))))
(fma.f64 x -1/2 (/.f64 2 x))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (/.f64 2 x))) (exp.f64 (.f64 x -1/2))))
(fma.f64 x -1/2 (/.f64 2 x))
(log.f64 (.f64 (exp.f64 (.f64 x -1/2)) (+.f64 1 (expm1.f64 (/.f64 2 x)))))
(fma.f64 x -1/2 (/.f64 2 x))
(cbrt.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 3))
(fma.f64 x -1/2 (/.f64 2 x))
(expm1.f64 (log1p.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(fma.f64 x -1/2 (/.f64 2 x))
(exp.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(fma.f64 x -1/2 (/.f64 2 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2))
(fma.f64 x -1/2 (/.f64 2 x))
(log1p.f64 (expm1.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(fma.f64 x -1/2 (/.f64 2 x))
(+.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 0)
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))))) (log.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(+.f64 (log.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))) (*.f64 2 (log.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x))))))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(+.f64 0 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))) (log.f64 (sqrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 1)
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(-.f64 (log.f64 (+.f64 (pow.f64 (.f64 x -1/2) 3) (pow.f64 (/.f64 2 x) 3))) (log.f64 (+.f64 (pow.f64 (.f64 x -1/2) 2) (-.f64 (.f64 4 (pow.f64 x -2)) (.f64 (*.f64 x -1/2) (/.f64 2 x))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (/.f64 2 x) 3) (.f64 (pow.f64 x 3) -1/8))) (log.f64 (-.f64 (+.f64 (pow.f64 (.f64 x -1/2) 2) (.f64 4 (pow.f64 x -2))) (.f64 x (*.f64 -1/2 (/.f64 2 x))))))
(-.f64 (log.f64 (fma.f64 (pow.f64 x 3) -1/8 (/.f64 8 (pow.f64 x 3)))) (log.f64 (+.f64 (pow.f64 (*.f64 x -1/2) 2) (fma.f64 4 (pow.f64 x -2) (/.f64 x x)))))
(-.f64 (log.f64 (fma.f64 (pow.f64 x 3) -1/8 (/.f64 8 (pow.f64 x 3)))) (log.f64 (+.f64 (pow.f64 (*.f64 x -1/2) 2) (fma.f64 4 (pow.f64 x -2) 1))))
(-.f64 (log.f64 (-.f64 (pow.f64 (.f64 x -1/2) 2) (.f64 4 (pow.f64 x -2)))) (log.f64 (-.f64 (*.f64 x -1/2) (/.f64 2 x))))
(-.f64 (log.f64 (+.f64 (pow.f64 (.f64 x -1/2) 2) (.f64 -4 (pow.f64 x -2)))) (log.f64 (-.f64 (*.f64 x -1/2) (/.f64 2 x))))
(-.f64 (log.f64 (+.f64 (pow.f64 (.f64 x -1/2) 2) (.f64 (pow.f64 x -2) -4))) (log.f64 (fma.f64 x -1/2 (/.f64 -2 x))))
(-.f64 (log.f64 (fma.f64 (.f64 x x) 1/4 (.f64 (pow.f64 x -2) -4))) (log.f64 (fma.f64 x -1/2 (/.f64 -2 x))))
(*.f64 1/3 (log.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 3)))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(*.f64 3 (log.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(.f64 3 (.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 1/3))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(*.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 1)
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(*.f64 (log.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 3)) 1/3)
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(*.f64 1 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2) (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 3))) 2) (.f64 (cbrt.f64 (log.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 3))) 1/3))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(.f64 (sqrt.f64 (log.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 3))) (.f64 (sqrt.f64 (log.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 3))) 1/3))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(*.f64 (log.f64 (cbrt.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 3)
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(.f64 (.f64 1/3 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 3))) 2)) (cbrt.f64 (log.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 3))))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(.f64 (.f64 1/3 (sqrt.f64 (log.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 3)))) (sqrt.f64 (log.f64 (pow.f64 (fma.f64 x -1/2 (/.f64 2 x)) 3))))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 1)
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 3)
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(pow.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2) 1/2)
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(pow.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 3) 1/3)
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 2)
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 2))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))) 3))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(exp.f64 (log.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 1))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x)))) 1) 1))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 3))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 1/3))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (fma.f64 x -1/2 (/.f64 2 x))))) 2))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))
(log1p.f64 (-.f64 (fma.f64 x -1/2 (/.f64 2 x)) 1))
(log.f64 (fma.f64 x -1/2 (/.f64 2 x)))

eval168.0ms (3.9%)

Compiler: Compiled 6804 to 5548 computations (18.5% saved)

prune62.0ms (1.4%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	394	1	395
Fresh	0	1	1
Picked	1	2	3
Done	0	4	4
Total	395	8	403

Accurracy

100.0%

Counts

403 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.7%	(.f64 1/3 (.f64 3 (log.f64 (/.f64 2 x))))
	99.1%	(.f64 1/3 (.f64 3 (log.f64 (+.f64 (/.f64 2 x) (*.f64 x -1/2)))))
✓	99.2%	(neg.f64 (log.f64 (*.f64 x 1/2)))
✓	31.3%	(neg.f64 (log.f64 x))
✓	99.2%	(log.f64 (/.f64 2 x))
✓	100.0%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
✓	99.6%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
	3.1%	0

Compiler

Compiled 176 to 136 computations (22.7% saved)

regimes26.0ms (0.6%)

Counts

13 → 1

Calls

Call 1

Inputs
0
(neg.f64 (log.f64 x))
(log.f64 (/.f64 2 x))
(neg.f64 (log.f64 (*.f64 x 1/2)))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))
(.f64 1/3 (.f64 3 (log.f64 (/.f64 2 x))))
(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))
(.f64 1/3 (.f64 3 (log.f64 (+.f64 (/.f64 2 x) (*.f64 x -1/2)))))
(*.f64 2 (log.f64 (/.f64 (sqrt.f64 (+.f64 x x)) x)))
(.f64 1/3 (.f64 3 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(.f64 2 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) x)))

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

Calls

3 calls:

8.0ms	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
7.0ms	x
7.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))

Results

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

Compiler

Compiled 141 to 104 computations (26.2% saved)

regimes26.0ms (0.6%)

Counts

12 → 1

Calls

Call 1

Inputs
0
(neg.f64 (log.f64 x))
(log.f64 (/.f64 2 x))
(neg.f64 (log.f64 (*.f64 x 1/2)))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))
(.f64 1/3 (.f64 3 (log.f64 (/.f64 2 x))))
(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))
(.f64 1/3 (.f64 3 (log.f64 (+.f64 (/.f64 2 x) (*.f64 x -1/2)))))
(*.f64 2 (log.f64 (/.f64 (sqrt.f64 (+.f64 x x)) x)))
(.f64 1/3 (.f64 3 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

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

Calls

3 calls:

8.0ms	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
7.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
6.0ms	x

Results

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

Compiler

Compiled 126 to 95 computations (24.6% saved)

regimes10.0ms (0.2%)

Counts

11 → 1

Calls

Call 1

Inputs
0
(neg.f64 (log.f64 x))
(log.f64 (/.f64 2 x))
(neg.f64 (log.f64 (*.f64 x 1/2)))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))
(.f64 1/3 (.f64 3 (log.f64 (/.f64 2 x))))
(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
(log.f64 (+.f64 (/.f64 1 x) (+.f64 (*.f64 -1/2 x) (/.f64 1 x))))
(.f64 1/3 (.f64 3 (log.f64 (+.f64 (/.f64 2 x) (*.f64 x -1/2)))))
(*.f64 2 (log.f64 (/.f64 (sqrt.f64 (+.f64 x x)) x)))
(.f64 1/3 (.f64 3 (log.f64 (fma.f64 -1/2 x (/.f64 2 x)))))

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
99.6%	1	`x`

Compiler

Compiled 86 to 67 computations (22.1% saved)

regimes7.0ms (0.2%)

Counts

6 → 1

Calls

Call 1

Inputs
0
(neg.f64 (log.f64 x))
(log.f64 (/.f64 2 x))
(neg.f64 (log.f64 (*.f64 x 1/2)))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 1 x)))
(.f64 1/3 (.f64 3 (log.f64 (/.f64 2 x))))

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
99.2%	1	`x`

Compiler

Compiled 32 to 25 computations (21.9% saved)

regimes4.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs
0
(neg.f64 (log.f64 x))
(log.f64 (/.f64 2 x))

Outputs
(log.f64 (/.f64 2 x))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.2%	1	`x`

Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes5.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

Inputs
0
(neg.f64 (log.f64 x))

Outputs
(neg.f64 (log.f64 x))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
31.3%	1	`x`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
0

Outputs
0

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
3.1%	1	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

simplify11.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative`
14×	`+-commutative`
10×	`sub-neg`
8×	`neg-mul-1`
8×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	149
1	50	149
2	60	149
3	66	149
4	68	149

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 2 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) x)))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
(neg.f64 (log.f64 (*.f64 x 1/2)))
(log.f64 (/.f64 2 x))
(neg.f64 (log.f64 x))
0

Outputs
(.f64 2 (log.f64 (/.f64 (sqrt.f64 (fma.f64 x (sqrt.f64 (-.f64 1 (.f64 x x))) x)) x)))
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))
(log.f64 (+.f64 (.f64 x -1/2) (.f64 2 (/.f64 1 x))))
(neg.f64 (log.f64 (*.f64 x 1/2)))
(log.f64 (/.f64 2 x))
(neg.f64 (log.f64 x))
0

Compiler

Compiled 58 to 44 computations (24.1% saved)

soundness613.0ms (14.2%)

Rules

1528×	`fma-def`
1458×	`log-prod`
1214×	`log-prod`
978×	`unswap-sqr`
858×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	62
1	262	62
2	3765	58
0	396	6026
1	977	5708
2	3185	5596
0	21	189
1	452	167
2	6341	159
0	725	11845
1	2249	11845
0	725	11845
1	2249	11845
0	18	83
1	379	75
2	4797	75

Stop Event

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

Compiler

Compiled 460 to 294 computations (36.1% saved)

end0.0ms (0%)

preprocess91.0ms (2.1%)

Compiler: Compiled 132 to 94 computations (28.8% saved)

analyze3.0ms (0.1%)

sample1.1s (24.6%)

preprocess169.0ms (3.9%)

simplify165.0ms (3.8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize70.0ms (1.6%)

series4.0ms (0.1%)

rewrite87.0ms (2%)

simplify92.0ms (2.1%)

eval90.0ms (2.1%)

prune30.0ms (0.7%)

localize156.0ms (3.6%)

series60.0ms (1.4%)

rewrite129.0ms (3%)

simplify97.0ms (2.2%)

eval184.0ms (4.3%)

prune84.0ms (2%)

localize95.0ms (2.2%)

series18.0ms (0.4%)

rewrite94.0ms (2.2%)

simplify99.0ms (2.3%)

eval96.0ms (2.2%)

prune48.0ms (1.1%)

localize116.0ms (2.7%)

series4.0ms (0.1%)

rewrite98.0ms (2.3%)

simplify133.0ms (3.1%)

eval168.0ms (3.9%)

prune62.0ms (1.4%)

regimes26.0ms (0.6%)

regimes26.0ms (0.6%)

regimes10.0ms (0.2%)

regimes7.0ms (0.2%)

regimes4.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0.1%)

simplify11.0ms (0.3%)

soundness613.0ms (14.2%)

end0.0ms (0%)

preprocess91.0ms (2.1%)

Profiling