Details

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)

sample1.3s (24%)

Results

1.3s	8256×	body	256	valid
1.0ms	16×	body	256	invalid

Bogosity

preprocess182.0ms (3.3%)

Algorithm

2×	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
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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)))

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify179.0ms (3.3%)

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

99.6%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize69.0ms (1.3%)

Local Accuracy

Found 3 expressions with local accuracy:

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

3 → 36

Calls

9 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	(sqrt.f64 (-.f64 1 (*.f64 x x)))
0.0ms	x	@	inf	(sqrt.f64 (-.f64 1 (*.f64 x x)))

rewrite727.0ms (13.4%)

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	91
1	262	91
2	3765	87

Stop Event

1×	node limit

Counts

3 → 187

Calls

Call 1

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

simplify126.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

978×	`unswap-sqr`
574×	`cancel-sign-sub-inv`
480×	`log-prod`
442×	`sub-neg`
440×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	533	10323
1	1319	9603
2	4444	9465

Stop Event

1×	node limit

Counts

223 → 347

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

eval130.0ms (2.4%)

Compiler: Compiled 7122 to 4826 computations (32.2% saved)

prune84.0ms (1.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	343	4	347
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	344	4	348

Accurracy

100.0%

Counts

348 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(-.f64 (log.f64 2) (log.f64 x))
▶	99.3%	(log.f64 (/.f64 2 x))
▶	99.6%	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (+.f64 1 (.f64 -1/2 (.f64 x x))) x)))
▶	99.6%	(log.f64 (+.f64 (.f64 -1/2 x) (.f64 2 (/.f64 1 x))))

Compiler

Compiled 37 to 29 computations (21.6% saved)

localize53.0ms (1%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiler

Compiled 36 to 28 computations (22.2% saved)

series3.0ms (0%)

Counts

2 → 15

Calls

6 calls:

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

rewrite82.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1054×	`log-prod`
652×	`fma-def`
642×	`pow-prod-down`
642×	`prod-exp`
520×	`pow-prod-up`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	34
1	249	34
2	3052	34

Stop Event

1×	node limit

Counts

2 → 127

Calls

Call 1

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

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

simplify85.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1420×	`fma-def`
1014×	`unswap-sqr`
556×	`distribute-lft-in`
540×	`distribute-rgt-in`
474×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	338	4920
1	806	4770
2	2218	4646

Stop Event

1×	node limit

Counts

142 → 215

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

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

localize57.0ms (1%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiler

Compiled 59 to 35 computations (40.7% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite88.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1318×	`log-prod`
1278×	`fma-def`
640×	`pow-exp`
488×	`expm1-udef`
486×	`log1p-udef`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	78
1	282	70
2	4038	66

Stop Event

1×	node limit

Counts

2 → 150

Calls

Call 1

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

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

simplify115.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1212×	`times-frac`
696×	`unswap-sqr`
566×	`associate-+l+`
560×	`associate-+r+`
424×	`sub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	411	8226
1	1018	7572
2	3156	7390

Stop Event

1×	node limit

Counts

174 → 246

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

localize25.0ms (0.5%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	99.6%	(log.f64 (/.f64 2 x))

Compiler

Compiled 11 to 8 computations (27.3% saved)

series49.0ms (0.9%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
29.0ms	x	@	0	(log.f64 (/.f64 2 x))
14.0ms	x	@	-inf	(log.f64 (/.f64 2 x))
6.0ms	x	@	inf	(log.f64 (/.f64 2 x))

rewrite388.0ms (7.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1300×	`pow1`
1198×	`add-exp-log`
1198×	`log1p-expm1-u`
1198×	`expm1-log1p-u`
1168×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	142	11
2	1643	11

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

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

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

simplify183.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

1186×	`fma-neg`
740×	`log-prod`
614×	`associate-r`
538×	`associate-l`
530×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	571
1	167	571
2	556	571
3	3337	571
4	6193	571

Stop Event

1×	node limit

Counts

37 → 34

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

localize31.0ms (0.6%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(-.f64 (log.f64 2) (log.f64 x))

Compiler

Compiled 13 to 9 computations (30.8% saved)

series356.0ms (6.5%)

Counts

1 → 8

Calls

3 calls:

Time	Variable		Point	Expression
328.0ms	x	@	0	(-.f64 (log.f64 2) (log.f64 x))
23.0ms	x	@	-inf	(-.f64 (log.f64 2) (log.f64 x))
6.0ms	x	@	inf	(-.f64 (log.f64 2) (log.f64 x))

rewrite231.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1632×	`pow1`
1514×	`add-exp-log`
1512×	`log1p-expm1-u`
1512×	`expm1-log1p-u`
1478×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	164	11
2	2065	11

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

Inputs
(-.f64 (log.f64 2) (log.f64 x))

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

simplify58.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1118×	`fma-neg`
972×	`div-sub`
628×	`associate-r`
626×	`fma-def`
572×	`associate-l`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	108	1225
1	274	953
2	847	949
3	4163	923

Stop Event

1×	node limit

Counts

43 → 49

Calls

Call 1

Inputs
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(-.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(-.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(-.f64 (log.f64 2) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(+.f64 (log1p.f64 1) (neg.f64 (log.f64 x)))
(+.f64 (log1p.f64 1) (*.f64 (neg.f64 (log.f64 x)) 1))
(+.f64 (log.f64 (/.f64 2 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(+.f64 (log.f64 (/.f64 2 x)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))
(+.f64 (log.f64 (/.f64 2 x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 1))
(*.f64 (log.f64 (/.f64 2 x)) 1)
(*.f64 1 (log.f64 (/.f64 2 x)))
(*.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 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 1) 2) (.f64 (log.f64 x) (log.f64 (*.f64 2 x))))))
(.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (.f64 2 x))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log.f64 x))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (.f64 (log.f64 x) (log.f64 (.f64 2 x)))) (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log.f64 x) 3))))
(/.f64 1 (/.f64 (log.f64 (*.f64 2 x)) (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log1p.f64 1) 2) (.f64 (log.f64 x) (log.f64 (.f64 2 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (*.f64 2 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (log.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 1) 2) (.f64 (log.f64 x) (log.f64 (.f64 2 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (pow.f64 (log.f64 x) 2))) (neg.f64 (log.f64 (*.f64 2 x))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 1) 3) (pow.f64 (neg.f64 (log.f64 x)) 3)) (+.f64 (pow.f64 (log1p.f64 1) 2) (-.f64 (.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x))) (.f64 (log1p.f64 1) (neg.f64 (log.f64 x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 1) 2) (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)))) (-.f64 (log1p.f64 1) (neg.f64 (log.f64 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)
(sqrt.f64 (pow.f64 (log.f64 (/.f64 2 x)) 2))
(log.f64 (/.f64 2 x))
(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))))
(log1p.f64 (-.f64 (/.f64 2 x) 1))
(fma.f64 1 (log1p.f64 1) (neg.f64 (log.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 1)) 2) (cbrt.f64 (log1p.f64 1)) (neg.f64 (log.f64 x)))
(fma.f64 (sqrt.f64 (log1p.f64 1)) (sqrt.f64 (log1p.f64 1)) (neg.f64 (log.f64 x)))

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

eval199.0ms (3.7%)

Compiler: Compiled 9810 to 7117 computations (27.5% saved)

prune60.0ms (1.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	542	2	544
Fresh	0	0	0
Picked	1	0	1
Done	2	1	3
Total	545	3	548

Accurracy

100.0%

Counts

548 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(neg.f64 (log.f64 (*.f64 x 1/2)))
▶	99.6%	(log.f64 (/.f64 (+.f64 (.f64 x (.f64 x -1/2)) 2) x))
✓	99.3%	(log.f64 (/.f64 2 x))

Compiler

Compiled 22 to 17 computations (22.7% saved)

localize47.0ms (0.9%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiler

Compiled 39 to 27 computations (30.8% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite82.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1124×	`log-prod`
658×	`pow-prod-down`
514×	`pow-prod-up`
468×	`pow-exp`
432×	`prod-diff`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	46
1	236	46
2	2993	46

Stop Event

1×	node limit

Counts

2 → 136

Calls

Call 1

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

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

simplify91.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1146×	`times-frac`
1058×	`unswap-sqr`
658×	`fma-neg`
572×	`log-prod`
488×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	411	5248
1	966	5116
2	3026	5104

Stop Event

1×	node limit

Counts

160 → 208

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

localize32.0ms (0.6%)

Compiler: Compiled 16 to 12 computations (25% saved)

eval72.0ms (1.3%)

Compiler: Compiled 3832 to 2773 computations (27.6% saved)

prune26.0ms (0.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	208	0	208
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	208	3	211

Accurracy

100.0%

Counts

211 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.7%	(neg.f64 (log.f64 (*.f64 x 1/2)))
✓	99.6%	(log.f64 (/.f64 (+.f64 (.f64 x (.f64 x -1/2)) 2) x))
✓	99.3%	(log.f64 (/.f64 2 x))

Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes16.0ms (0.3%)

Accuracy

Total -0.4b remaining (-227.5%)

Threshold costs -0.4b (-227.5%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
5.0ms	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
4.0ms	x

Results

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

Compiler

Compiled 91 to 65 computations (28.6% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	26
1	16	26
2	18	26
3	19	26

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

soundness163.0ms (3%)

Rules

1300×	`pow1`
1198×	`add-exp-log`
1198×	`log1p-expm1-u`
1198×	`expm1-log1p-u`
1186×	`fma-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	142	11
2	1643	11
0	83	571
1	167	571
2	556	571
3	3337	571
4	6193	571

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 50 to 42 computations (16% saved)

end27.0ms (0.5%)

Compiler: Compiled 48 to 36 computations (25% saved)

Details

analyze3.0ms (0.1%)

sample1.3s (24%)

preprocess182.0ms (3.3%)

simplify179.0ms (3.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize69.0ms (1.3%)

series4.0ms (0.1%)

rewrite727.0ms (13.4%)

simplify126.0ms (2.3%)

eval130.0ms (2.4%)

prune84.0ms (1.5%)

localize53.0ms (1%)

series3.0ms (0%)

rewrite82.0ms (1.5%)

simplify85.0ms (1.6%)

localize57.0ms (1%)

series2.0ms (0%)

rewrite88.0ms (1.6%)

simplify115.0ms (2.1%)

localize25.0ms (0.5%)

series49.0ms (0.9%)

rewrite388.0ms (7.1%)

simplify183.0ms (3.4%)

localize31.0ms (0.6%)

series356.0ms (6.5%)

rewrite231.0ms (4.2%)

simplify58.0ms (1.1%)

eval199.0ms (3.7%)

prune60.0ms (1.1%)

localize47.0ms (0.9%)

series2.0ms (0%)

rewrite82.0ms (1.5%)

simplify91.0ms (1.7%)

localize32.0ms (0.6%)

eval72.0ms (1.3%)

prune26.0ms (0.5%)

regimes16.0ms (0.3%)

simplify5.0ms (0.1%)

soundness163.0ms (3%)

end27.0ms (0.5%)

Profiling