Metrics for 2log (problem 3.3.6)

analyze2.0ms (0%)

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
50%	50%	50%	0%	0%	0%	0%	2
66.7%	50%	25%	0%	0%	25%	0%	3
80%	50%	12.5%	0%	0%	37.5%	0%	4
88.9%	50%	6.2%	0%	0%	43.7%	0%	5
94.1%	50%	3.1%	0%	0%	46.9%	0%	6
97%	50%	1.6%	0%	0%	48.4%	0%	7
98.5%	50%	0.8%	0%	0%	49.2%	0%	8
99.2%	50%	0.4%	0%	0%	49.6%	0%	9
99.6%	50%	0.2%	0%	0%	49.8%	0%	10
99.8%	50%	0.1%	0%	0%	49.9%	0%	11
99.9%	50%	0%	0%	0%	49.9%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample1.7s (21.7%)

Results

729.0ms	2077×	body	1024	valid
650.0ms	4879×	body	256	valid
186.0ms	1044×	body	512	valid
106.0ms	256×	body	2048	valid
1.0ms	9×	body	256	invalid

Bogosity

preprocess280.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

7864×	`fma-def`
962×	`distribute-rgt-in`
906×	`fma-neg`
858×	`distribute-lft-in`
806×	`associate-+r+`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	14	71
1	25	53
2	43	53
3	77	53
4	135	53
5	231	53
6	426	51
7	763	51
8	1521	51
9	3012	51
10	3795	51
11	3829	51
12	3853	51
13	3853	51
14	5993	51
15	6433	51
16	6785	51
17	6785	51
18	7176	51
19	7720	51
20	7890	51
21	7946	51

Stop Event

1×	node limit

Calls

Call 1

Inputs
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (log.f64 (+.f64 (neg.f64 N) 1)) (log.f64 (neg.f64 N)))

Outputs
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 (neg.f64 N) 1)) (log.f64 (neg.f64 N)))
(-.f64 (log.f64 (+.f64 1 (neg.f64 N))) (log.f64 (neg.f64 N)))
(-.f64 (log1p.f64 (neg.f64 N)) (log.f64 (neg.f64 N)))
(-.f64 (log.f64 (+.f64 N -1)) (log.f64 N))

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.2%	(-.f64 (log1p.f64 N) (log.f64 N))
▶	59.2%	(-.f64 (log1p.f64 N) (log.f64 N))

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize43.0ms (0.6%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	59.2%	(-.f64 (log1p.f64 N) (log.f64 N))

Compiler

Compiled 12 to 5 computations (58.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	N	@	-inf	(-.f64 (log1p.f64 N) (log.f64 N))
0.0ms	N	@	inf	(-.f64 (log1p.f64 N) (log.f64 N))
0.0ms	N	@	0	(-.f64 (log1p.f64 N) (log.f64 N))

rewrite59.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1512×	`pow1`
1396×	`add-exp-log`
1396×	`log1p-expm1-u`
1396×	`expm1-log1p-u`
1364×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	144	15
2	1887	15

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

Inputs
(-.f64 (log1p.f64 N) (log.f64 N))

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

simplify67.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1682×	`div-sub`
1522×	`fma-neg`
1100×	`fma-def`
810×	`associate-r`
718×	`associate-l`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	126	1407
1	336	1319
2	1101	1313
3	5446	1309

Stop Event

1×	node limit

Counts

47 → 71

Calls

Call 1

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

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

eval19.0ms (0.2%)

Compiler: Compiled 943 to 456 computations (51.6% saved)

prune47.0ms (0.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	63	8	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	64	8	72

Accuracy

100.0%

Counts

72 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	58.4%	(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
▶	59.0%	(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (neg.f64 (log.f64 N)) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (-.f64 (.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N))) (.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))))
▶	46.4%	(/.f64 1 N)
	44.3%	(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
	57.1%	(-.f64 N (log.f64 N))
▶	45.3%	(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
▶	55.8%	(neg.f64 (log.f64 N))
▶	59.4%	(log.f64 (/.f64 (+.f64 N 1) N))
	58.4%	(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
▶	59.0%	(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (neg.f64 (log.f64 N)) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (-.f64 (.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N))) (.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))))
▶	46.4%	(/.f64 1 N)
	44.3%	(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
	57.1%	(-.f64 N (log.f64 N))
▶	45.3%	(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
▶	55.8%	(neg.f64 (log.f64 N))
▶	59.4%	(log.f64 (/.f64 (+.f64 N 1) N))

Compiler

Compiled 352 to 220 computations (37.5% saved)

localize521.0ms (6.7%)

Localize:

Found 10 expressions with local error:

New	Accuracy	Program
✓	99.3%	(*.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))
✓	99.3%	(*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N)))
✓	98.9%	(pow.f64 (neg.f64 (log.f64 N)) 3)
✓	59.3%	(+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (neg.f64 (log.f64 N)) 3))
✓	100.0%	(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
✓	99.4%	(/.f64 1/3 (pow.f64 N 3))
✓	98.9%	(/.f64 1/2 (*.f64 N N))
✓	77.3%	(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
✓	100.0%	(/.f64 (+.f64 N 1) N)
✓	59.4%	(log.f64 (/.f64 (+.f64 N 1) N))

Compiler

Compiled 188 to 78 computations (58.5% saved)

series62.0ms (0.8%)

Counts

10 → 108

Calls

30 calls:

Time	Variable		Point	Expression
24.0ms	N	@	0	(pow.f64 (neg.f64 (log.f64 N)) 3)
20.0ms	N	@	-inf	(pow.f64 (neg.f64 (log.f64 N)) 3)
6.0ms	N	@	inf	(pow.f64 (neg.f64 (log.f64 N)) 3)
2.0ms	N	@	inf	(/.f64 1/3 (pow.f64 N 3))
2.0ms	N	@	-inf	(+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (neg.f64 (log.f64 N)) 3))

rewrite158.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

582×	`add-sqr-sqrt`
564×	`pow1`
558×	`*-un-lft-identity`
552×	`add-exp-log`
548×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	208
1	608	178

Stop Event

1×	node limit

Counts

10 → 322

Calls

Call 1

Inputs
(log.f64 (/.f64 (+.f64 N 1) N))
(/.f64 (+.f64 N 1) N)
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(/.f64 1/2 (*.f64 N N))
(/.f64 1/3 (pow.f64 N 3))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (neg.f64 (log.f64 N)) 3))
(pow.f64 (neg.f64 (log.f64 N)) 3)
(*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N)))
(*.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))

Outputs
(+.f64 (log1p.f64 N) (log.f64 N))
(+.f64 0 (+.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 N))) (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(+.f64 (+.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))
(+.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 N 1) N))) (log.f64 (sqrt.f64 (.f64 (+.f64 N 1) N))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 N 1) N)) 2)) (log.f64 (cbrt.f64 (.f64 (+.f64 N 1) N))))
(+.f64 (fma.f64 1 (log1p.f64 N) (neg.f64 (.f64 (log.f64 N) 1))) (fma.f64 (log.f64 N) 1 (.f64 (log.f64 N) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (.f64 (log.f64 N) 1))) (fma.f64 (log.f64 N) 1 (.f64 (log.f64 N) 1)))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (.f64 (log.f64 N) 1))) (fma.f64 (log.f64 N) 1 (.f64 (log.f64 N) 1)))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 0 (log.f64 (/.f64 N (+.f64 N 1))))
(-.f64 (log.f64 (+.f64 -1 (neg.f64 N))) (log.f64 (neg.f64 N)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (log1p.f64 N) (log.f64 N)))) 1)
(-.f64 (+.f64 (log1p.f64 N) 0) (log.f64 N))
(*.f64 1 (+.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
(pow.f64 (cbrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 3)
(pow.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 2)
(pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 1)
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(sqrt.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 2))
(cbrt.f64 (pow.f64 (+.f64 (log1p.f64 N) (log.f64 N)) 3))
(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (*.f64 (log.f64 (+.f64 (log1p.f64 N) (log.f64 N))) 1))
(log1p.f64 (-.f64 (*.f64 (+.f64 N 1) N) 1))
(fma.f64 1 (log1p.f64 N) (log.f64 N))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (log.f64 N))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (log.f64 N))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 N 1) N))) 1)
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(/.f64 (+.f64 (.f64 (-.f64 (.f64 1/27 (pow.f64 (pow.f64 N 3) 3)) (.f64 1/8 (pow.f64 N 6))) (neg.f64 N)) (.f64 (+.f64 (.f64 1/9 (pow.f64 N 6)) (+.f64 (.f64 1/4 (pow.f64 N 4)) (/.f64 1/6 (pow.f64 N 5)))) -1)) (.f64 (+.f64 (.f64 1/9 (pow.f64 N 6)) (+.f64 (*.f64 1/4 (pow.f64 N 4)) (/.f64 1/6 (pow.f64 N 5)))) (neg.f64 N)))
(/.f64 (+.f64 (.f64 (-.f64 (.f64 1/9 (pow.f64 N 6)) (.f64 1/4 (pow.f64 N 4))) N) (.f64 (fma.f64 1/3 (pow.f64 N 3) (.f64 1/2 (.f64 N N))) 1)) (.f64 (fma.f64 1/3 (pow.f64 N 3) (.f64 1/2 (*.f64 N N))) N))
(/.f64 (+.f64 (.f64 (-.f64 (.f64 1/9 (pow.f64 N 6)) (.f64 1/4 (pow.f64 N 4))) (neg.f64 N)) (.f64 (fma.f64 1/3 (pow.f64 N 3) (.f64 1/2 (.f64 N N))) -1)) (.f64 (fma.f64 1/3 (pow.f64 N 3) (.f64 1/2 (*.f64 N N))) (neg.f64 N)))
(/.f64 (+.f64 (pow.f64 N 5) (.f64 N (-.f64 (.f64 1/3 (.f64 N N)) (.f64 (pow.f64 N 3) 1/2)))) (pow.f64 N 6))
(/.f64 (+.f64 (+.f64 (.f64 1/9 (pow.f64 N 6)) (+.f64 (.f64 1/4 (pow.f64 N 4)) (/.f64 1/6 (pow.f64 N 5)))) (.f64 N (-.f64 (.f64 1/27 (pow.f64 (pow.f64 N 3) 3)) (.f64 1/8 (pow.f64 N 6))))) (.f64 N (+.f64 (.f64 1/9 (pow.f64 N 6)) (+.f64 (.f64 1/4 (pow.f64 N 4)) (/.f64 1/6 (pow.f64 N 5))))))
(/.f64 (+.f64 (fma.f64 1/3 (pow.f64 N 3) (.f64 1/2 (.f64 N N))) (.f64 N (-.f64 (.f64 1/9 (pow.f64 N 6)) (.f64 1/4 (pow.f64 N 4))))) (.f64 N (fma.f64 1/3 (pow.f64 N 3) (.f64 1/2 (.f64 N N)))))
(/.f64 (+.f64 (.f64 -1 (pow.f64 N 5)) (.f64 (neg.f64 N) (-.f64 (.f64 1/3 (.f64 N N)) (.f64 (pow.f64 N 3) 1/2)))) (.f64 (neg.f64 N) (pow.f64 N 5)))
(/.f64 (+.f64 (.f64 -1 (+.f64 (.f64 1/9 (pow.f64 N 6)) (+.f64 (.f64 1/4 (pow.f64 N 4)) (/.f64 1/6 (pow.f64 N 5))))) (.f64 (neg.f64 N) (-.f64 (.f64 1/27 (pow.f64 (pow.f64 N 3) 3)) (.f64 1/8 (pow.f64 N 6))))) (.f64 (neg.f64 N) (+.f64 (.f64 1/9 (pow.f64 N 6)) (+.f64 (*.f64 1/4 (pow.f64 N 4)) (/.f64 1/6 (pow.f64 N 5))))))
(/.f64 (+.f64 (.f64 -1 (fma.f64 1/3 (pow.f64 N 3) (.f64 1/2 (.f64 N N)))) (.f64 (neg.f64 N) (-.f64 (.f64 1/9 (pow.f64 N 6)) (.f64 1/4 (pow.f64 N 4))))) (.f64 (neg.f64 N) (fma.f64 1/3 (pow.f64 N 3) (.f64 1/2 (*.f64 N N)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 N 3) (pow.f64 (fma.f64 1/3 (pow.f64 N 3) (.f64 -1/2 (.f64 N N))) 3))) (neg.f64 (fma.f64 N N (.f64 (fma.f64 1/3 (pow.f64 N 3) (.f64 -1/2 (.f64 N N))) (-.f64 (fma.f64 1/3 (pow.f64 N 3) (.f64 -1/2 (*.f64 N N))) N)))))
(/.f64 (neg.f64 (-.f64 (.f64 N N) (pow.f64 (fma.f64 1/3 (pow.f64 N 3) (.f64 -1/2 (.f64 N N))) 2))) (neg.f64 (-.f64 N (fma.f64 1/3 (pow.f64 N 3) (.f64 -1/2 (*.f64 N N))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N 3) (.f64 -1/2 (.f64 N N))) 3) (pow.f64 N 3)) (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N 3) (.f64 -1/2 (.f64 N N))) 2) (-.f64 (.f64 N N) (.f64 (fma.f64 1/3 (pow.f64 N 3) (.f64 -1/2 (.f64 N N))) N))))
(/.f64 (-.f64 (pow.f64 (+.f64 N (.f64 1/3 (pow.f64 N 3))) 3) (.f64 1/8 (pow.f64 N 6))) (+.f64 (.f64 (+.f64 N (.f64 1/3 (pow.f64 N 3))) (+.f64 N (.f64 1/3 (pow.f64 N 3)))) (+.f64 (.f64 1/4 (pow.f64 N 4)) (.f64 (+.f64 N (.f64 1/3 (pow.f64 N 3))) (.f64 1/2 (.f64 N N))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N 3) (.f64 -1/2 (.f64 N N))) 2) (.f64 N N)) (-.f64 (fma.f64 1/3 (pow.f64 N 3) (.f64 -1/2 (*.f64 N N))) N))
(/.f64 (-.f64 (.f64 (+.f64 N (.f64 1/3 (pow.f64 N 3))) (+.f64 N (.f64 1/3 (pow.f64 N 3)))) (.f64 1/4 (pow.f64 N 4))) (+.f64 (+.f64 N (.f64 1/3 (pow.f64 N 3))) (.f64 1/2 (*.f64 N N))))
(pow.f64 (+.f64 N (fma.f64 1/3 (pow.f64 N 3) (.f64 -1/2 (.f64 N N)))) 1)
(pow.f64 (cbrt.f64 (+.f64 N (fma.f64 1/3 (pow.f64 N 3) (.f64 -1/2 (.f64 N N))))) 3)
(pow.f64 (pow.f64 (+.f64 N (fma.f64 1/3 (pow.f64 N 3) (.f64 -1/2 (.f64 N N)))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 N (fma.f64 1/3 (pow.f64 N 3) (.f64 -1/2 (.f64 N N))))) 2)
(sqrt.f64 (pow.f64 (+.f64 N (fma.f64 1/3 (pow.f64 N 3) (.f64 -1/2 (.f64 N N)))) 2))
(log.f64 (exp.f64 (+.f64 N (fma.f64 1/3 (pow.f64 N 3) (.f64 -1/2 (.f64 N N))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 N (fma.f64 1/3 (pow.f64 N 3) (.f64 -1/2 (.f64 N N)))))))
(cbrt.f64 (pow.f64 (+.f64 N (fma.f64 1/3 (pow.f64 N 3) (.f64 -1/2 (.f64 N N)))) 3))
(expm1.f64 (log1p.f64 (+.f64 N (fma.f64 1/3 (pow.f64 N 3) (.f64 -1/2 (.f64 N N))))))
(exp.f64 (log.f64 (+.f64 N (fma.f64 1/3 (pow.f64 N 3) (.f64 -1/2 (.f64 N N))))))
(exp.f64 (.f64 (log.f64 (+.f64 N (fma.f64 1/3 (pow.f64 N 3) (.f64 -1/2 (*.f64 N N))))) 1))
(log1p.f64 (expm1.f64 (+.f64 N (fma.f64 1/3 (pow.f64 N 3) (.f64 -1/2 (.f64 N N))))))
(fma.f64 1 N (fma.f64 1/3 (pow.f64 N 3) (.f64 -1/2 (.f64 N N))))
(fma.f64 1 (fma.f64 1/3 (pow.f64 N 3) (.f64 -1/2 (.f64 N N))) N)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N 3) (.f64 -1/2 (.f64 N N)))) 2) (cbrt.f64 (fma.f64 1/3 (pow.f64 N 3) (.f64 -1/2 (.f64 N N)))) N)
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (fma.f64 1/3 (pow.f64 N 3) (.f64 -1/2 (.f64 N N))))
(fma.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N 3) (.f64 -1/2 (.f64 N N)))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N 3) (.f64 -1/2 (.f64 N N)))) N)
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (fma.f64 1/3 (pow.f64 N 3) (.f64 -1/2 (.f64 N N))))
(-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))) 1)
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) 6) (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (/.f64 (pow.f64 (log.f64 N) 6) (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(*.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))
(*.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6))))
(*.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(*.f64 (hypot.f64 (pow.f64 (log.f64 N) 3/2) (pow.f64 (log1p.f64 N) 3/2)) (hypot.f64 (pow.f64 (log.f64 N) 3/2) (pow.f64 (log1p.f64 N) 3/2)))
(.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))) (+.f64 (log1p.f64 N) (log.f64 N)))
(.f64 (+.f64 (pow.f64 (log1p.f64 N) 9) (pow.f64 (log.f64 N) 9)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 6) (+.f64 (pow.f64 (log.f64 N) 6) (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) 3)))))
(*.f64 (+.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(.f64 (+.f64 (pow.f64 (log.f64 N) 2) (-.f64 (pow.f64 (log1p.f64 N) 2) (.f64 (log1p.f64 N) (log.f64 N)))) (+.f64 (log.f64 N) (log1p.f64 N)))
(*.f64 (+.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)) (-.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 N) 6) (+.f64 (pow.f64 (log.f64 N) 6) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) 3))) (+.f64 (pow.f64 (log1p.f64 N) 9) (pow.f64 (log.f64 N) 9))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 9) (pow.f64 (log.f64 N) 9)) (+.f64 (pow.f64 (log1p.f64 N) 6) (+.f64 (pow.f64 (log.f64 N) 6) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) 3))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6)) (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 9) (pow.f64 (log.f64 N) 9))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 6) (+.f64 (pow.f64 (log.f64 N) 6) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) 3)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(/.f64 (+.f64 (pow.f64 (log.f64 N) 9) (pow.f64 (log1p.f64 N) 9)) (+.f64 (pow.f64 (log.f64 N) 6) (-.f64 (pow.f64 (log1p.f64 N) 6) (*.f64 (pow.f64 (log.f64 N) 3) (pow.f64 (log1p.f64 N) 3)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 9) (pow.f64 (log.f64 N) 9)) (+.f64 (pow.f64 (log1p.f64 N) 6) (+.f64 (pow.f64 (log.f64 N) 6) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) 3))))
(/.f64 (-.f64 (pow.f64 (log.f64 N) 6) (pow.f64 (log1p.f64 N) 6)) (-.f64 (pow.f64 (log.f64 N) 3) (pow.f64 (log1p.f64 N) 3)))
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) 3)
(pow.f64 (pow.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) 3) 1/3)
(pow.f64 (hypot.f64 (pow.f64 (log.f64 N) 3/2) (pow.f64 (log1p.f64 N) 3/2)) 2)
(pow.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) 1)
(sqrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6)))
(log.f64 (exp.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))))
(log.f64 (/.f64 (exp.f64 (pow.f64 (log1p.f64 N) 3)) (exp.f64 (pow.f64 (log.f64 N) 3))))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) 3))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(exp.f64 (log.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) 1))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(fma.f64 1 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))
(fma.f64 1 (pow.f64 (log.f64 N) 3) (pow.f64 (log1p.f64 N) 3))
(fma.f64 (log1p.f64 N) (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 3))
(fma.f64 (log.f64 N) (pow.f64 (log.f64 N) 2) (pow.f64 (log1p.f64 N) 3))
(fma.f64 (pow.f64 (log.f64 N) 2) (log.f64 N) (pow.f64 (log1p.f64 N) 3))
(fma.f64 (pow.f64 (log1p.f64 N) 2) (log1p.f64 N) (pow.f64 (log.f64 N) 3))
(fma.f64 (pow.f64 (log.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2) (pow.f64 (log1p.f64 N) 3))
(fma.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3))
(-.f64 0 (pow.f64 (log.f64 N) 3))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 N) 3))) 1)
(*.f64 1 (pow.f64 (log.f64 N) 3))
(*.f64 (log.f64 N) (pow.f64 (log.f64 N) 2))
(*.f64 (pow.f64 (log.f64 N) 2) (log.f64 N))
(.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2) (.f64 (cbrt.f64 (log.f64 N)) (pow.f64 (log.f64 N) 2)))
(.f64 (cbrt.f64 (pow.f64 (log.f64 N) 4)) (.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(.f64 (sqrt.f64 (log.f64 N)) (.f64 (sqrt.f64 (log.f64 N)) (pow.f64 (log.f64 N) 2)))
(*.f64 -1 (pow.f64 (log.f64 N) 3))
(*.f64 (pow.f64 (log.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2))
(.f64 (.f64 (log.f64 N) 1) (pow.f64 (log.f64 N) 2))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 N)) 3) (pow.f64 (sqrt.f64 (log.f64 N)) 3))
(.f64 (.f64 (log.f64 N) (cbrt.f64 (pow.f64 (log.f64 N) 4))) (pow.f64 (cbrt.f64 (log.f64 N)) 2))
(.f64 (.f64 (pow.f64 (log.f64 N) 2) 1) (log.f64 N))
(.f64 (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 (log.f64 N)) 2)) (cbrt.f64 (log.f64 N)))
(.f64 (.f64 (pow.f64 (log.f64 N) 2) -1) (log.f64 N))
(.f64 (.f64 (pow.f64 (log.f64 N) 2) (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)))
(neg.f64 (pow.f64 (log.f64 N) 3))
(sqrt.f64 (pow.f64 (log.f64 N) 6))
(log.f64 (exp.f64 (pow.f64 (log.f64 N) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 N) 3))))
(cbrt.f64 (pow.f64 (log.f64 N) 9))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 N) 3)))
(exp.f64 (*.f64 3 (log.f64 (log.f64 N))))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 N))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 N) 3)))
(-.f64 0 (pow.f64 (log.f64 N) 2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 N) 2))) 1)
(pow.f64 (log.f64 N) 2)
(pow.f64 (pow.f64 (log.f64 N) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2) 3)
(pow.f64 (pow.f64 (log.f64 N) 6) 1/3)
(neg.f64 (pow.f64 (log.f64 N) 2))
(sqrt.f64 (pow.f64 (log.f64 N) 4))
(log.f64 (pow.f64 N (log.f64 N)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 N) 2))))
(cbrt.f64 (pow.f64 (log.f64 N) 6))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 N) 2)))
(exp.f64 (*.f64 2 (log.f64 (log.f64 N))))
(exp.f64 (*.f64 (log.f64 (log.f64 N)) 2))
(exp.f64 (.f64 (.f64 2 (log.f64 (log.f64 N))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 N) 2)))
(-.f64 0 (*.f64 (log1p.f64 N) (log.f64 N)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log1p.f64 N) (log.f64 N)))) 1)
(pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) 1)
(pow.f64 (cbrt.f64 (*.f64 (log1p.f64 N) (log.f64 N))) 3)
(pow.f64 (sqrt.f64 (*.f64 (log1p.f64 N) (log.f64 N))) 2)
(pow.f64 (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(neg.f64 (*.f64 (log1p.f64 N) (log.f64 N)))
(sqrt.f64 (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) 2))
(log.f64 (pow.f64 N (log1p.f64 N)))
(log.f64 (+.f64 1 (-.f64 (pow.f64 N (log1p.f64 N)) 1)))
(cbrt.f64 (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 N) 3) (pow.f64 (log1p.f64 N) 3)))
(expm1.f64 (log1p.f64 (*.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (log.f64 (*.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (.f64 (log.f64 (.f64 (log1p.f64 N) (log.f64 N))) 1))
(log1p.f64 (-.f64 (pow.f64 N (log1p.f64 N)) 1))

simplify142.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1278×	`fma-def`
1122×	`associate-r`
798×	`times-frac`
524×	`associate-+r+`
442×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	908	16046
1	2514	14470

Stop Event

1×	node limit

Counts

430 → 566

Calls

Call 1

Inputs
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (+.f64 (.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
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(/.f64 (+.f64 (.f64 -1 (+.f64 (.f64 1/9 (pow.f64 N 6)) (+.f64 (.f64 1/4 (pow.f64 N 4)) (/.f64 1/6 (pow.f64 N 5))))) (.f64 (neg.f64 N) (-.f64 (.f64 1/27 (pow.f64 (pow.f64 N 3) 3)) (.f64 1/8 (pow.f64 N 6))))) (.f64 (neg.f64 N) (+.f64 (.f64 1/9 (pow.f64 N 6)) (+.f64 (*.f64 1/4 (pow.f64 N 4)) (/.f64 1/6 (pow.f64 N 5))))))
(/.f64 (+.f64 (.f64 -1 (fma.f64 1/3 (pow.f64 N 3) (.f64 1/2 (.f64 N N)))) (.f64 (neg.f64 N) (-.f64 (.f64 1/9 (pow.f64 N 6)) (.f64 1/4 (pow.f64 N 4))))) (.f64 (neg.f64 N) (fma.f64 1/3 (pow.f64 N 3) (.f64 1/2 (*.f64 N N)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 N 3) (pow.f64 (fma.f64 1/3 (pow.f64 N 3) (.f64 -1/2 (.f64 N N))) 3))) (neg.f64 (fma.f64 N N (.f64 (fma.f64 1/3 (pow.f64 N 3) (.f64 -1/2 (.f64 N N))) (-.f64 (fma.f64 1/3 (pow.f64 N 3) (.f64 -1/2 (*.f64 N N))) N)))))
(/.f64 (neg.f64 (-.f64 (.f64 N N) (pow.f64 (fma.f64 1/3 (pow.f64 N 3) (.f64 -1/2 (.f64 N N))) 2))) (neg.f64 (-.f64 N (fma.f64 1/3 (pow.f64 N 3) (.f64 -1/2 (*.f64 N N))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N 3) (.f64 -1/2 (.f64 N N))) 3) (pow.f64 N 3)) (+.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N 3) (.f64 -1/2 (.f64 N N))) 2) (-.f64 (.f64 N N) (.f64 (fma.f64 1/3 (pow.f64 N 3) (.f64 -1/2 (.f64 N N))) N))))
(/.f64 (-.f64 (pow.f64 (+.f64 N (.f64 1/3 (pow.f64 N 3))) 3) (.f64 1/8 (pow.f64 N 6))) (+.f64 (.f64 (+.f64 N (.f64 1/3 (pow.f64 N 3))) (+.f64 N (.f64 1/3 (pow.f64 N 3)))) (+.f64 (.f64 1/4 (pow.f64 N 4)) (.f64 (+.f64 N (.f64 1/3 (pow.f64 N 3))) (.f64 1/2 (.f64 N N))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N 3) (.f64 -1/2 (.f64 N N))) 2) (.f64 N N)) (-.f64 (fma.f64 1/3 (pow.f64 N 3) (.f64 -1/2 (*.f64 N N))) N))
(/.f64 (-.f64 (.f64 (+.f64 N (.f64 1/3 (pow.f64 N 3))) (+.f64 N (.f64 1/3 (pow.f64 N 3)))) (.f64 1/4 (pow.f64 N 4))) (+.f64 (+.f64 N (.f64 1/3 (pow.f64 N 3))) (.f64 1/2 (*.f64 N N))))
(pow.f64 (+.f64 N (fma.f64 1/3 (pow.f64 N 3) (.f64 -1/2 (.f64 N N)))) 1)
(pow.f64 (cbrt.f64 (+.f64 N (fma.f64 1/3 (pow.f64 N 3) (.f64 -1/2 (.f64 N N))))) 3)
(pow.f64 (pow.f64 (+.f64 N (fma.f64 1/3 (pow.f64 N 3) (.f64 -1/2 (.f64 N N)))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 N (fma.f64 1/3 (pow.f64 N 3) (.f64 -1/2 (.f64 N N))))) 2)
(sqrt.f64 (pow.f64 (+.f64 N (fma.f64 1/3 (pow.f64 N 3) (.f64 -1/2 (.f64 N N)))) 2))
(log.f64 (exp.f64 (+.f64 N (fma.f64 1/3 (pow.f64 N 3) (.f64 -1/2 (.f64 N N))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 N (fma.f64 1/3 (pow.f64 N 3) (.f64 -1/2 (.f64 N N)))))))
(cbrt.f64 (pow.f64 (+.f64 N (fma.f64 1/3 (pow.f64 N 3) (.f64 -1/2 (.f64 N N)))) 3))
(expm1.f64 (log1p.f64 (+.f64 N (fma.f64 1/3 (pow.f64 N 3) (.f64 -1/2 (.f64 N N))))))
(exp.f64 (log.f64 (+.f64 N (fma.f64 1/3 (pow.f64 N 3) (.f64 -1/2 (.f64 N N))))))
(exp.f64 (.f64 (log.f64 (+.f64 N (fma.f64 1/3 (pow.f64 N 3) (.f64 -1/2 (*.f64 N N))))) 1))
(log1p.f64 (expm1.f64 (+.f64 N (fma.f64 1/3 (pow.f64 N 3) (.f64 -1/2 (.f64 N N))))))
(fma.f64 1 N (fma.f64 1/3 (pow.f64 N 3) (.f64 -1/2 (.f64 N N))))
(fma.f64 1 (fma.f64 1/3 (pow.f64 N 3) (.f64 -1/2 (.f64 N N))) N)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N 3) (.f64 -1/2 (.f64 N N)))) 2) (cbrt.f64 (fma.f64 1/3 (pow.f64 N 3) (.f64 -1/2 (.f64 N N)))) N)
(fma.f64 (pow.f64 (cbrt.f64 N) 2) (cbrt.f64 N) (fma.f64 1/3 (pow.f64 N 3) (.f64 -1/2 (.f64 N N))))
(fma.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N 3) (.f64 -1/2 (.f64 N N)))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N 3) (.f64 -1/2 (.f64 N N)))) N)
(fma.f64 (sqrt.f64 N) (sqrt.f64 N) (fma.f64 1/3 (pow.f64 N 3) (.f64 -1/2 (.f64 N N))))
(-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))) 1)
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) 6) (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (/.f64 (pow.f64 (log.f64 N) 6) (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(*.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))
(*.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6))))
(*.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(*.f64 (hypot.f64 (pow.f64 (log.f64 N) 3/2) (pow.f64 (log1p.f64 N) 3/2)) (hypot.f64 (pow.f64 (log.f64 N) 3/2) (pow.f64 (log1p.f64 N) 3/2)))
(.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (.f64 (log.f64 N) (-.f64 (log.f64 N) (log1p.f64 N)))) (+.f64 (log1p.f64 N) (log.f64 N)))
(.f64 (+.f64 (pow.f64 (log1p.f64 N) 9) (pow.f64 (log.f64 N) 9)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 6) (+.f64 (pow.f64 (log.f64 N) 6) (pow.f64 (.f64 (log1p.f64 N) (log.f64 N)) 3)))))
(*.f64 (+.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(.f64 (+.f64 (pow.f64 (log.f64 N) 2) (-.f64 (pow.f64 (log1p.f64 N) 2) (.f64 (log1p.f64 N) (log.f64 N)))) (+.f64 (log.f64 N) (log1p.f64 N)))
(*.f64 (+.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)) (-.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 N) 6) (+.f64 (pow.f64 (log.f64 N) 6) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) 3))) (+.f64 (pow.f64 (log1p.f64 N) 9) (pow.f64 (log.f64 N) 9))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 9) (pow.f64 (log.f64 N) 9)) (+.f64 (pow.f64 (log1p.f64 N) 6) (+.f64 (pow.f64 (log.f64 N) 6) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) 3))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6)) (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 9) (pow.f64 (log.f64 N) 9))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 6) (+.f64 (pow.f64 (log.f64 N) 6) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) 3)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(/.f64 (+.f64 (pow.f64 (log.f64 N) 9) (pow.f64 (log1p.f64 N) 9)) (+.f64 (pow.f64 (log.f64 N) 6) (-.f64 (pow.f64 (log1p.f64 N) 6) (*.f64 (pow.f64 (log.f64 N) 3) (pow.f64 (log1p.f64 N) 3)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 9) (pow.f64 (log.f64 N) 9)) (+.f64 (pow.f64 (log1p.f64 N) 6) (+.f64 (pow.f64 (log.f64 N) 6) (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) 3))))
(/.f64 (-.f64 (pow.f64 (log.f64 N) 6) (pow.f64 (log1p.f64 N) 6)) (-.f64 (pow.f64 (log.f64 N) 3) (pow.f64 (log1p.f64 N) 3)))
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) 3)
(pow.f64 (pow.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) 3) 1/3)
(pow.f64 (hypot.f64 (pow.f64 (log.f64 N) 3/2) (pow.f64 (log1p.f64 N) 3/2)) 2)
(pow.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) 1)
(sqrt.f64 (+.f64 (pow.f64 (log1p.f64 N) 6) (pow.f64 (log.f64 N) 6)))
(log.f64 (exp.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)))))
(log.f64 (/.f64 (exp.f64 (pow.f64 (log1p.f64 N) 3)) (exp.f64 (pow.f64 (log.f64 N) 3))))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) 3))
(expm1.f64 (log1p.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(exp.f64 (log.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))) 1))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))))
(fma.f64 1 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))
(fma.f64 1 (pow.f64 (log.f64 N) 3) (pow.f64 (log1p.f64 N) 3))
(fma.f64 (log1p.f64 N) (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 3))
(fma.f64 (log.f64 N) (pow.f64 (log.f64 N) 2) (pow.f64 (log1p.f64 N) 3))
(fma.f64 (pow.f64 (log.f64 N) 2) (log.f64 N) (pow.f64 (log1p.f64 N) 3))
(fma.f64 (pow.f64 (log1p.f64 N) 2) (log1p.f64 N) (pow.f64 (log.f64 N) 3))
(fma.f64 (pow.f64 (log.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2) (pow.f64 (log1p.f64 N) 3))
(fma.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3))
(-.f64 0 (pow.f64 (log.f64 N) 3))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 N) 3))) 1)
(*.f64 1 (pow.f64 (log.f64 N) 3))
(*.f64 (log.f64 N) (pow.f64 (log.f64 N) 2))
(*.f64 (pow.f64 (log.f64 N) 2) (log.f64 N))
(.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2) (.f64 (cbrt.f64 (log.f64 N)) (pow.f64 (log.f64 N) 2)))
(.f64 (cbrt.f64 (pow.f64 (log.f64 N) 4)) (.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2) (log.f64 N)))
(.f64 (sqrt.f64 (log.f64 N)) (.f64 (sqrt.f64 (log.f64 N)) (pow.f64 (log.f64 N) 2)))
(*.f64 -1 (pow.f64 (log.f64 N) 3))
(*.f64 (pow.f64 (log.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2))
(.f64 (.f64 (log.f64 N) 1) (pow.f64 (log.f64 N) 2))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 N)) 3) (pow.f64 (sqrt.f64 (log.f64 N)) 3))
(.f64 (.f64 (log.f64 N) (cbrt.f64 (pow.f64 (log.f64 N) 4))) (pow.f64 (cbrt.f64 (log.f64 N)) 2))
(.f64 (.f64 (pow.f64 (log.f64 N) 2) 1) (log.f64 N))
(.f64 (.f64 (pow.f64 (log.f64 N) 2) (pow.f64 (cbrt.f64 (log.f64 N)) 2)) (cbrt.f64 (log.f64 N)))
(.f64 (.f64 (pow.f64 (log.f64 N) 2) -1) (log.f64 N))
(.f64 (.f64 (pow.f64 (log.f64 N) 2) (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)))
(neg.f64 (pow.f64 (log.f64 N) 3))
(sqrt.f64 (pow.f64 (log.f64 N) 6))
(log.f64 (exp.f64 (pow.f64 (log.f64 N) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 N) 3))))
(cbrt.f64 (pow.f64 (log.f64 N) 9))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 N) 3)))
(exp.f64 (*.f64 3 (log.f64 (log.f64 N))))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 N))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 N) 3)))
(-.f64 0 (pow.f64 (log.f64 N) 2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 N) 2))) 1)
(pow.f64 (log.f64 N) 2)
(pow.f64 (pow.f64 (log.f64 N) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2) 3)
(pow.f64 (pow.f64 (log.f64 N) 6) 1/3)
(neg.f64 (pow.f64 (log.f64 N) 2))
(sqrt.f64 (pow.f64 (log.f64 N) 4))
(log.f64 (pow.f64 N (log.f64 N)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 N) 2))))
(cbrt.f64 (pow.f64 (log.f64 N) 6))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 N) 2)))
(exp.f64 (*.f64 2 (log.f64 (log.f64 N))))
(exp.f64 (*.f64 (log.f64 (log.f64 N)) 2))
(exp.f64 (.f64 (.f64 2 (log.f64 (log.f64 N))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 N) 2)))
(-.f64 0 (*.f64 (log1p.f64 N) (log.f64 N)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log1p.f64 N) (log.f64 N)))) 1)
(pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) 1)
(pow.f64 (cbrt.f64 (*.f64 (log1p.f64 N) (log.f64 N))) 3)
(pow.f64 (sqrt.f64 (*.f64 (log1p.f64 N) (log.f64 N))) 2)
(pow.f64 (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(neg.f64 (*.f64 (log1p.f64 N) (log.f64 N)))
(sqrt.f64 (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) 2))
(log.f64 (pow.f64 N (log1p.f64 N)))
(log.f64 (+.f64 1 (-.f64 (pow.f64 N (log1p.f64 N)) 1)))
(cbrt.f64 (pow.f64 (*.f64 (log1p.f64 N) (log.f64 N)) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 N) 3) (pow.f64 (log1p.f64 N) 3)))
(expm1.f64 (log1p.f64 (*.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (log.f64 (*.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (.f64 (log.f64 (.f64 (log1p.f64 N) (log.f64 N))) 1))
(log1p.f64 (-.f64 (pow.f64 N (log1p.f64 N)) 1))

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

eval357.0ms (4.6%)

Compiler: Compiled 15815 to 8861 computations (44% saved)

prune112.0ms (1.4%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	564	2	566
Fresh	0	3	3
Picked	1	4	5
Done	0	0	0
Total	565	9	574

Accuracy

100.0%

Counts

574 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.4%	(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
▶	59.0%	(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (neg.f64 (log.f64 N)) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (-.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))))
✓	46.4%	(/.f64 1 N)
▶	44.3%	(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
▶	57.1%	(-.f64 N (log.f64 N))
✓	45.3%	(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
▶	59.4%	(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
✓	55.8%	(neg.f64 (log.f64 N))
✓	59.4%	(log.f64 (/.f64 (+.f64 N 1) N))
▶	58.4%	(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
▶	59.0%	(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (neg.f64 (log.f64 N)) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (-.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))))
✓	46.4%	(/.f64 1 N)
▶	44.3%	(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
▶	57.1%	(-.f64 N (log.f64 N))
✓	45.3%	(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
▶	59.4%	(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
✓	55.8%	(neg.f64 (log.f64 N))
✓	59.4%	(log.f64 (/.f64 (+.f64 N 1) N))

Compiler

Compiled 310 to 202 computations (34.8% saved)

localize323.0ms (4.2%)

Localize:

Found 11 expressions with local error:

New	Accuracy	Program
	99.3%	(*.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))
✓	99.3%	(pow.f64 (log.f64 N) 2)
	98.9%	(pow.f64 (neg.f64 (log.f64 N)) 3)
	59.3%	(+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (neg.f64 (log.f64 N)) 3))
✓	99.9%	(sqrt.f64 (log1p.f64 N))
✓	58.5%	(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
✓	100.0%	(-.f64 N (log.f64 N))
✓	100.0%	(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
✓	99.8%	(/.f64 (/.f64 1/2 N) N)
✓	100.0%	(/.f64 N (+.f64 N 1))
✓	59.4%	(log.f64 (/.f64 N (+.f64 N 1)))

Compiler

Compiled 173 to 75 computations (56.6% saved)

series8.0ms (0.1%)

Counts

8 → 85

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	N	@	-inf	(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
1.0ms	N	@	inf	(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
1.0ms	N	@	0	(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
1.0ms	N	@	inf	(sqrt.f64 (log1p.f64 N))
1.0ms	N	@	-inf	(sqrt.f64 (log1p.f64 N))

rewrite126.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

728×	`expm1-udef`
726×	`log1p-udef`
472×	`add-sqr-sqrt`
458×	`pow1`
456×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	110
1	483	106
2	6862	106

Stop Event

1×	node limit

Counts

8 → 282

Calls

Call 1

Inputs
(log.f64 (/.f64 N (+.f64 N 1)))
(/.f64 N (+.f64 N 1))
(/.f64 (/.f64 1/2 N) N)
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(-.f64 N (log.f64 N))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(sqrt.f64 (log1p.f64 N))
(pow.f64 (log.f64 N) 2)

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

simplify111.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1084×	`fma-def`
704×	`associate-r`
668×	`times-frac`
658×	`associate-l`
570×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	767	11331
1	2024	9757

Stop Event

1×	node limit

Counts

367 → 475

Calls

Call 1

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

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

eval325.0ms (4.2%)

Compiler: Compiled 17909 to 10937 computations (38.9% saved)

prune111.0ms (1.4%)

Pruning

13 alts after pruning (6 fresh and 7 done)

	Pruned	Kept	Total
New	702	6	708
Fresh	0	0	0
Picked	2	3	5
Done	0	4	4
Total	704	13	717

Accuracy

100.0%

Counts

717 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	3.8%	(/.f64 (/.f64 (+.f64 N (.f64 (.f64 -1/2 N) N)) N) N)
▶	3.3%	(/.f64 (+.f64 N (.f64 (.f64 -1/2 N) N)) (*.f64 N N))
▶	4.1%	(/.f64 (+.f64 1 (*.f64 N -1/2)) N)
	3.3%	(/.f64 1 (/.f64 (.f64 N N) (+.f64 N (.f64 (*.f64 -1/2 N) N))))
▶	4.1%	(/.f64 1 (/.f64 N (+.f64 1 (*.f64 -1/2 N))))
✓	46.4%	(/.f64 1 N)
✓	44.3%	(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
✓	57.1%	(-.f64 N (log.f64 N))
✓	45.3%	(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
▶	59.4%	(neg.f64 (*.f64 2 (log.f64 (sqrt.f64 (/.f64 N (+.f64 N 1))))))
✓	59.4%	(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
✓	55.8%	(neg.f64 (log.f64 N))
✓	59.4%	(log.f64 (/.f64 (+.f64 N 1) N))
▶	3.8%	(/.f64 (/.f64 (+.f64 N (.f64 (.f64 -1/2 N) N)) N) N)
▶	3.3%	(/.f64 (+.f64 N (.f64 (.f64 -1/2 N) N)) (*.f64 N N))
▶	4.1%	(/.f64 (+.f64 1 (*.f64 N -1/2)) N)
	3.3%	(/.f64 1 (/.f64 (.f64 N N) (+.f64 N (.f64 (*.f64 -1/2 N) N))))
▶	4.1%	(/.f64 1 (/.f64 N (+.f64 1 (*.f64 -1/2 N))))
✓	46.4%	(/.f64 1 N)
✓	44.3%	(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
✓	57.1%	(-.f64 N (log.f64 N))
✓	45.3%	(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
▶	59.4%	(neg.f64 (*.f64 2 (log.f64 (sqrt.f64 (/.f64 N (+.f64 N 1))))))
✓	59.4%	(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
✓	55.8%	(neg.f64 (log.f64 N))
✓	59.4%	(log.f64 (/.f64 (+.f64 N 1) N))

Compiler

Compiled 376 to 262 computations (30.3% saved)

localize270.0ms (3.5%)

Localize:

Found 11 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 (/.f64 (+.f64 N (.f64 (.f64 -1/2 N) N)) N) N)
✓	100.0%	(+.f64 N (.f64 (.f64 -1/2 N) N))
✓	76.6%	(/.f64 (+.f64 N (.f64 (.f64 -1/2 N) N)) N)
✓	100.0%	(+.f64 N (.f64 (.f64 -1/2 N) N))
✓	48.7%	(/.f64 (+.f64 N (.f64 (.f64 -1/2 N) N)) (*.f64 N N))
✓	100.0%	(/.f64 1 (/.f64 N (+.f64 1 (*.f64 -1/2 N))))
✓	100.0%	(/.f64 N (+.f64 1 (*.f64 -1/2 N)))
✓	100.0%	(/.f64 (+.f64 1 (*.f64 N -1/2)) N)
✓	100.0%	(sqrt.f64 (/.f64 N (+.f64 N 1)))
	100.0%	(/.f64 N (+.f64 N 1))
✓	59.4%	(log.f64 (sqrt.f64 (/.f64 N (+.f64 N 1))))

Compiler

Compiled 158 to 103 computations (34.8% saved)

series8.0ms (0.1%)

Counts

10 → 112

Calls

30 calls:

Time	Variable		Point	Expression
2.0ms	N	@	-inf	(log.f64 (sqrt.f64 (/.f64 N (+.f64 N 1))))
1.0ms	N	@	0	(log.f64 (sqrt.f64 (/.f64 N (+.f64 N 1))))
0.0ms	N	@	inf	(log.f64 (sqrt.f64 (/.f64 N (+.f64 N 1))))
0.0ms	N	@	0	(/.f64 (+.f64 1 (*.f64 N -1/2)) N)
0.0ms	N	@	-inf	(/.f64 (+.f64 1 (*.f64 N -1/2)) N)

rewrite141.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1518×	`fma-def`
736×	`log1p-udef`
734×	`expm1-udef`
444×	`add-sqr-sqrt`
430×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	220
1	535	188
2	6644	188

Stop Event

1×	node limit

Counts

10 → 468

Calls

Call 1

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

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

simplify177.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1502×	`log-prod`
1332×	`times-frac`
1206×	`associate-r`
796×	`associate-/l*`
630×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	725	11740
1	1849	10936
2	7754	10936

Stop Event

1×	node limit

Counts

580 → 426

Calls

Call 1

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

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

eval224.0ms (2.9%)

Compiler: Compiled 9362 to 6580 computations (29.7% saved)

prune113.0ms (1.5%)

Pruning

16 alts after pruning (4 fresh and 12 done)

	Pruned	Kept	Total
New	579	3	582
Fresh	0	1	1
Picked	0	5	5
Done	0	7	7
Total	579	16	595

Accuracy

100.0%

Counts

595 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	3.8%	(/.f64 (/.f64 (/.f64 (-.f64 1 (.f64 N (.f64 N 1/4))) (/.f64 (+.f64 1 (*.f64 N 1/2)) N)) N) N)
✓	3.8%	(/.f64 (/.f64 (+.f64 N (.f64 (.f64 -1/2 N) N)) N) N)
✓	3.3%	(/.f64 (+.f64 N (.f64 (.f64 -1/2 N) N)) (*.f64 N N))
✓	4.1%	(/.f64 (+.f64 1 (*.f64 N -1/2)) N)
	3.3%	(/.f64 1 (/.f64 (.f64 N N) (+.f64 N (.f64 (*.f64 -1/2 N) N))))
✓	4.1%	(/.f64 1 (/.f64 N (+.f64 1 (*.f64 -1/2 N))))
✓	46.4%	(/.f64 1 N)
✓	44.3%	(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
	4.1%	(-.f64 (/.f64 1 N) 1/2)
✓	57.1%	(-.f64 N (log.f64 N))
✓	45.3%	(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
✓	59.4%	(neg.f64 (*.f64 2 (log.f64 (sqrt.f64 (/.f64 N (+.f64 N 1))))))
✓	59.4%	(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
✓	55.8%	(neg.f64 (log.f64 N))
✓	59.4%	(log.f64 (/.f64 (+.f64 N 1) N))
	1.9%	-1/2

Compiler

Compiled 362 to 226 computations (37.6% saved)

regimes38.0ms (0.5%)

Counts

21 → 2

Calls

Call 1

Inputs
-1/2
(/.f64 1 N)
(-.f64 (/.f64 1 N) 1/2)
(/.f64 (+.f64 1 (*.f64 N -1/2)) N)
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(/.f64 1 (/.f64 N (+.f64 1 (*.f64 -1/2 N))))
(/.f64 (+.f64 N (.f64 (.f64 -1/2 N) N)) (*.f64 N N))
(/.f64 (/.f64 (+.f64 N (.f64 (.f64 -1/2 N) N)) N) N)
(/.f64 1 (/.f64 (.f64 N N) (+.f64 N (.f64 (*.f64 -1/2 N) N))))
(/.f64 (/.f64 (/.f64 (-.f64 1 (.f64 N (.f64 N 1/4))) (/.f64 (+.f64 1 (*.f64 N 1/2)) N)) N) N)
(neg.f64 (log.f64 N))
(-.f64 N (log.f64 N))
(log.f64 (/.f64 (+.f64 N 1) N))
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(neg.f64 (*.f64 2 (log.f64 (sqrt.f64 (/.f64 N (+.f64 N 1))))))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (neg.f64 (log.f64 N)) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (-.f64 (pow.f64 (log.f64 N) 2) (*.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (neg.f64 (log.f64 N)) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (-.f64 (.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N))) (.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))))

Outputs
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(neg.f64 (*.f64 2 (log.f64 (sqrt.f64 (/.f64 N (+.f64 N 1))))))

Calls

2 calls:

22.0ms	N
10.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Results

Accuracy	Segments	Branch
100.0%	2	`N`
100.0%	2	`(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))`

Compiler

Compiled 223 to 127 computations (43% saved)

regimes54.0ms (0.7%)

Counts

17 → 2

Calls

Call 1

Inputs
-1/2
(/.f64 1 N)
(-.f64 (/.f64 1 N) 1/2)
(/.f64 (+.f64 1 (*.f64 N -1/2)) N)
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(/.f64 1 (/.f64 N (+.f64 1 (*.f64 -1/2 N))))
(/.f64 (+.f64 N (.f64 (.f64 -1/2 N) N)) (*.f64 N N))
(/.f64 (/.f64 (+.f64 N (.f64 (.f64 -1/2 N) N)) N) N)
(/.f64 1 (/.f64 (.f64 N N) (+.f64 N (.f64 (*.f64 -1/2 N) N))))
(/.f64 (/.f64 (/.f64 (-.f64 1 (.f64 N (.f64 N 1/4))) (/.f64 (+.f64 1 (*.f64 N 1/2)) N)) N) N)
(neg.f64 (log.f64 N))
(-.f64 N (log.f64 N))
(log.f64 (/.f64 (+.f64 N 1) N))
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Outputs
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))

Calls

2 calls:

41.0ms	N
9.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Results

Accuracy	Segments	Branch
100.0%	2	`N`
100.0%	2	`(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))`

Compiler

Compiled 146 to 93 computations (36.3% saved)

regimes19.0ms (0.2%)

Counts

14 → 2

Calls

Call 1

Inputs
-1/2
(/.f64 1 N)
(-.f64 (/.f64 1 N) 1/2)
(/.f64 (+.f64 1 (*.f64 N -1/2)) N)
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(/.f64 1 (/.f64 N (+.f64 1 (*.f64 -1/2 N))))
(/.f64 (+.f64 N (.f64 (.f64 -1/2 N) N)) (*.f64 N N))
(/.f64 (/.f64 (+.f64 N (.f64 (.f64 -1/2 N) N)) N) N)
(/.f64 1 (/.f64 (.f64 N N) (+.f64 N (.f64 (*.f64 -1/2 N) N))))
(/.f64 (/.f64 (/.f64 (-.f64 1 (.f64 N (.f64 N 1/4))) (/.f64 (+.f64 1 (*.f64 N 1/2)) N)) N) N)
(neg.f64 (log.f64 N))
(-.f64 N (log.f64 N))
(log.f64 (/.f64 (+.f64 N 1) N))
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))

Outputs
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
99.9%	2	`N`

Compiler

Compiled 111 to 71 computations (36% saved)

regimes52.0ms (0.7%)

Counts

13 → 2

Calls

Call 1

Inputs
-1/2
(/.f64 1 N)
(-.f64 (/.f64 1 N) 1/2)
(/.f64 (+.f64 1 (*.f64 N -1/2)) N)
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(/.f64 1 (/.f64 N (+.f64 1 (*.f64 -1/2 N))))
(/.f64 (+.f64 N (.f64 (.f64 -1/2 N) N)) (*.f64 N N))
(/.f64 (/.f64 (+.f64 N (.f64 (.f64 -1/2 N) N)) N) N)
(/.f64 1 (/.f64 (.f64 N N) (+.f64 N (.f64 (*.f64 -1/2 N) N))))
(/.f64 (/.f64 (/.f64 (-.f64 1 (.f64 N (.f64 N 1/4))) (/.f64 (+.f64 1 (*.f64 N 1/2)) N)) N) N)
(neg.f64 (log.f64 N))
(-.f64 N (log.f64 N))
(log.f64 (/.f64 (+.f64 N 1) N))

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

Calls

1 calls:

49.0ms

Results

Accuracy	Segments	Branch
99.9%	2	`N`

Compiler

Compiled 104 to 66 computations (36.5% saved)

regimes17.0ms (0.2%)

Counts

12 → 2

Calls

Call 1

Inputs
-1/2
(/.f64 1 N)
(-.f64 (/.f64 1 N) 1/2)
(/.f64 (+.f64 1 (*.f64 N -1/2)) N)
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(/.f64 1 (/.f64 N (+.f64 1 (*.f64 -1/2 N))))
(/.f64 (+.f64 N (.f64 (.f64 -1/2 N) N)) (*.f64 N N))
(/.f64 (/.f64 (+.f64 N (.f64 (.f64 -1/2 N) N)) N) N)
(/.f64 1 (/.f64 (.f64 N N) (+.f64 N (.f64 (*.f64 -1/2 N) N))))
(/.f64 (/.f64 (/.f64 (-.f64 1 (.f64 N (.f64 N 1/4))) (/.f64 (+.f64 1 (*.f64 N 1/2)) N)) N) N)
(neg.f64 (log.f64 N))
(-.f64 N (log.f64 N))

Outputs
(-.f64 N (log.f64 N))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
99.4%	2	`N`

Compiler

Compiled 98 to 62 computations (36.7% saved)

regimes17.0ms (0.2%)

Counts

11 → 2

Calls

Call 1

Inputs
-1/2
(/.f64 1 N)
(-.f64 (/.f64 1 N) 1/2)
(/.f64 (+.f64 1 (*.f64 N -1/2)) N)
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(/.f64 1 (/.f64 N (+.f64 1 (*.f64 -1/2 N))))
(/.f64 (+.f64 N (.f64 (.f64 -1/2 N) N)) (*.f64 N N))
(/.f64 (/.f64 (+.f64 N (.f64 (.f64 -1/2 N) N)) N) N)
(/.f64 1 (/.f64 (.f64 N N) (+.f64 N (.f64 (*.f64 -1/2 N) N))))
(/.f64 (/.f64 (/.f64 (-.f64 1 (.f64 N (.f64 N 1/4))) (/.f64 (+.f64 1 (*.f64 N 1/2)) N)) N) N)
(neg.f64 (log.f64 N))

Outputs
(neg.f64 (log.f64 N))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
98.6%	2	`N`

Compiler

Compiled 94 to 61 computations (35.1% saved)

regimes11.0ms (0.1%)

Counts

10 → 1

Calls

Call 1

Inputs
-1/2
(/.f64 1 N)
(-.f64 (/.f64 1 N) 1/2)
(/.f64 (+.f64 1 (*.f64 N -1/2)) N)
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(/.f64 1 (/.f64 N (+.f64 1 (*.f64 -1/2 N))))
(/.f64 (+.f64 N (.f64 (.f64 -1/2 N) N)) (*.f64 N N))
(/.f64 (/.f64 (+.f64 N (.f64 (.f64 -1/2 N) N)) N) N)
(/.f64 1 (/.f64 (.f64 N N) (+.f64 N (.f64 (*.f64 -1/2 N) N))))
(/.f64 (/.f64 (/.f64 (-.f64 1 (.f64 N (.f64 N 1/4))) (/.f64 (+.f64 1 (*.f64 N 1/2)) N)) N) N)

Outputs
(/.f64 1 N)

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
46.4%	1	`N`

Compiler

Compiled 91 to 59 computations (35.2% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
-1/2

Outputs
-1/2

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
1.9%	1	`N`

Compiler

Compiled 4 to 3 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.9134414408483735e-7	0.009836426412133115

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.9134414408483735e-7	0.009836426412133115

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch16.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	101.16375683895428	5226185.028354294

Results

14.0ms

128×

body

256

valid

Compiler

Compiled 172 to 129 computations (25% saved)

bsearch18.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	101.16375683895428	5226185.028354294

Results

16.0ms

128×

body

256

valid

Compiler

Compiled 164 to 121 computations (26.2% saved)

bsearch17.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	0.0034918936078146383	101.16375683895428

Results

15.0ms

128×

body

256

valid

Compiler

Compiled 148 to 105 computations (29.1% saved)

bsearch16.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.0034918936078146383	101.16375683895428

Results

14.0ms

128×

body

256

valid

Compiler

Compiled 140 to 105 computations (25% saved)

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

30×	`+-commutative`
26×	`sub-neg`
20×	`*-commutative`
18×	`neg-mul-1`
18×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	398
1	76	398
2	101	398
3	117	398
4	125	398
5	127	398

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 944473296573929/4722366482869645213696) (+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (.f64 N N)))) (neg.f64 (.f64 2 (log.f64 (sqrt.f64 (/.f64 N (+.f64 N 1)))))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 944473296573929/4722366482869645213696) (+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))) (neg.f64 (log.f64 (/.f64 N (+.f64 N 1)))))
(if (<=.f64 N 240000) (neg.f64 (log.f64 (/.f64 N (+.f64 N 1)))) (-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)))
(if (<=.f64 N 205000) (log.f64 (/.f64 (+.f64 N 1) N)) (-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)))
(if (<=.f64 N 8106479329266893/9007199254740992) (-.f64 N (log.f64 N)) (-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)))
(if (<=.f64 N 5854679515581645/9007199254740992) (neg.f64 (log.f64 N)) (-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)))
(/.f64 1 N)
-1/2

Outputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 944473296573929/4722366482869645213696) (+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (.f64 N N)))) (neg.f64 (.f64 2 (log.f64 (sqrt.f64 (/.f64 N (+.f64 N 1)))))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 944473296573929/4722366482869645213696) (+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (.f64 N N)))) (.f64 2 (neg.f64 (log.f64 (sqrt.f64 (/.f64 N (+.f64 N 1)))))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 944473296573929/4722366482869645213696) (+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))) (neg.f64 (log.f64 (/.f64 N (+.f64 N 1)))))
(if (<=.f64 N 240000) (neg.f64 (log.f64 (/.f64 N (+.f64 N 1)))) (-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)))
(if (<=.f64 N 205000) (log.f64 (/.f64 (+.f64 N 1) N)) (-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)))
(if (<=.f64 N 8106479329266893/9007199254740992) (-.f64 N (log.f64 N)) (-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)))
(if (<=.f64 N 5854679515581645/9007199254740992) (neg.f64 (log.f64 N)) (-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)))
(/.f64 1 N)
-1/2

Compiler

Compiled 151 to 111 computations (26.5% saved)

soundness1.9s (24.1%)

Rules

7864×	`fma-def`
1682×	`div-sub`
1682×	`div-sub`
1682×	`div-sub`
1682×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	71
1	25	53
2	43	53
3	77	53
4	135	53
5	231	53
6	426	51
7	763	51
8	1521	51
9	3012	51
10	3795	51
11	3829	51
12	3853	51
13	3853	51
14	5993	51
15	6433	51
16	6785	51
17	6785	51
18	7176	51
19	7720	51
20	7890	51
21	7946	51
0	126	1407
1	336	1319
2	1101	1313
3	5446	1309
0	7	15
1	144	15
2	1887	15
0	26	208
1	608	178
0	908	16046
1	2514	14470
0	22	110
1	483	106
2	6862	106
0	767	11331
1	2024	9757
0	126	1407
1	336	1319
2	1101	1313
3	5446	1309
0	22	110
1	483	106
2	6862	106
0	767	11331
1	2024	9757
0	126	1407
1	336	1319
2	1101	1313
3	5446	1309
0	126	1407
1	336	1319
2	1101	1313
3	5446	1309

Stop Event

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

Compiler

Compiled 535 to 384 computations (28.2% saved)

end0.0ms (0%)

preprocess98.0ms (1.3%)

Compiler: Compiled 304 to 212 computations (30.3% saved)

analyze2.0ms (0%)

sample1.7s (21.7%)

preprocess280.0ms (3.6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize43.0ms (0.6%)

series1.0ms (0%)

rewrite59.0ms (0.8%)

simplify67.0ms (0.9%)

eval19.0ms (0.2%)

prune47.0ms (0.6%)

localize521.0ms (6.7%)

series62.0ms (0.8%)

rewrite158.0ms (2%)

simplify142.0ms (1.8%)

eval357.0ms (4.6%)

prune112.0ms (1.4%)

localize323.0ms (4.2%)

series8.0ms (0.1%)

rewrite126.0ms (1.6%)

simplify111.0ms (1.4%)

eval325.0ms (4.2%)

prune111.0ms (1.4%)

localize270.0ms (3.5%)

series8.0ms (0.1%)

rewrite141.0ms (1.8%)

simplify177.0ms (2.3%)

eval224.0ms (2.9%)

prune113.0ms (1.5%)

regimes38.0ms (0.5%)

regimes54.0ms (0.7%)

regimes19.0ms (0.2%)

regimes52.0ms (0.7%)

regimes17.0ms (0.2%)

regimes17.0ms (0.2%)

regimes11.0ms (0.1%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch16.0ms (0.2%)

bsearch18.0ms (0.2%)

bsearch17.0ms (0.2%)

bsearch16.0ms (0.2%)

simplify14.0ms (0.2%)

soundness1.9s (24.1%)

end0.0ms (0%)

preprocess98.0ms (1.3%)

Profiling