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)

sample1.9s (33.1%)

Results

889.0ms	4950×	body	256	valid
659.0ms	2053×	body	1024	valid
252.0ms	1013×	body	512	valid
130.0ms	240×	body	2048	valid
1.0ms	10×	body	256	invalid

Bogosity

preprocess268.0ms (4.6%)

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	50
1	25	38
2	43	38
3	77	38
4	135	38
5	231	38
6	426	36
7	763	36
8	1521	36
9	3012	36
10	3795	36
11	3829	36
12	3853	36
13	3853	36
14	5993	36
15	6433	36
16	6785	36
17	6785	36
18	7176	36
19	7720	36
20	7890	36
21	7946	36

Stop Event

1×	node limit

Calls

Call 1

Inputs
(-.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 (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 9 to 7 computations (22.2% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

132×	`fma-def`
24×	`sub-neg`
20×	`distribute-rgt-in`
20×	`unsub-neg`
18×	`associate--r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	14	15
2	19	15
3	27	15
4	36	15
5	53	15
6	90	15
7	126	15
8	175	15
9	210	15
10	236	15
11	238	15

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 13 to 8 computations (38.5% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Accurracy

57.2%

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.2%	(-.f64 (log1p.f64 N) (log.f64 N))
▶	57.2%	(-.f64 (log1p.f64 N) (log.f64 N))

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize44.0ms (0.7%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	57.2%	(-.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))

rewrite60.0ms (1%)

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)))

simplify85.0ms (1.4%)

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))

eval16.0ms (0.3%)

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

prune31.0ms (0.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	61	10	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	62	10	72

Accurracy

100.0%

Counts

72 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.1%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
▶	48.6%	(/.f64 1 N)
	46.7%	(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
▶	46.7%	(-.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))))
	54.2%	(-.f64 N (log.f64 N))
	47.7%	(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
	4.1%	(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
▶	52.6%	(neg.f64 (log.f64 N))
▶	57.0%	(log.f64 (/.f64 (+.f64 N 1) N))
	56.3%	(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
▶	57.1%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
▶	48.6%	(/.f64 1 N)
	46.7%	(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
▶	46.7%	(-.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))))
	54.2%	(-.f64 N (log.f64 N))
	47.7%	(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
	4.1%	(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
▶	52.6%	(neg.f64 (log.f64 N))
▶	57.0%	(log.f64 (/.f64 (+.f64 N 1) N))
	56.3%	(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))

Compiler

Compiled 432 to 296 computations (31.5% saved)

localize295.0ms (5%)

Local Accuracy

Found 10 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(/.f64 1/4 (pow.f64 N 4))
✓	99.4%	(/.f64 1/3 (pow.f64 N 3))
✓	99.0%	(/.f64 1/2 (*.f64 N N))
✓	62.5%	(-.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))))
✓	100.0%	(/.f64 (+.f64 N 1) N)
✓	57.0%	(log.f64 (/.f64 (+.f64 N 1) N))
✓	99.6%	(pow.f64 (log1p.f64 N) 2)
✓	99.3%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
✓	99.2%	(pow.f64 (log.f64 N) 2)
✓	57.2%	(-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2))

Compiler

Compiled 147 to 87 computations (40.8% saved)

series58.0ms (1%)

Counts

10 → 92

Calls

30 calls:

Time	Variable		Point	Expression
23.0ms	N	@	0	(pow.f64 (log.f64 N) 2)
17.0ms	N	@	-inf	(pow.f64 (log.f64 N) 2)
6.0ms	N	@	inf	(pow.f64 (log.f64 N) 2)
3.0ms	N	@	-inf	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
1.0ms	N	@	inf	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))

rewrite91.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

716×	`add-sqr-sqrt`
696×	`pow1`
688×	`*-un-lft-identity`
686×	`add-exp-log`
682×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	224
1	733	216

Stop Event

1×	node limit

Counts

10 → 217

Calls

Call 1

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

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

simplify167.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1024×	`fma-neg`
828×	`log-prod`
814×	`fma-def`
516×	`+-commutative`
452×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	701	14395
1	1805	13125
2	6713	13101

Stop Event

1×	node limit

Counts

309 → 392

Calls

Call 1

Inputs
(*.f64 -1 (pow.f64 (log.f64 N) 2))
(+.f64 (pow.f64 N 2) (*.f64 -1 (pow.f64 (log.f64 N) 2)))
(+.f64 (pow.f64 N 2) (+.f64 (.f64 -1 (pow.f64 N 3)) (.f64 -1 (pow.f64 (log.f64 N) 2))))
(+.f64 (pow.f64 N 2) (+.f64 (.f64 11/12 (pow.f64 N 4)) (+.f64 (.f64 -1 (pow.f64 N 3)) (*.f64 -1 (pow.f64 (log.f64 N) 2)))))
(*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N))
(+.f64 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2)) (+.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N))))
(-.f64 (+.f64 (.f64 -2/3 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 3))) (+.f64 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2)) (+.f64 (/.f64 1 (pow.f64 N 2)) (.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N))))) (/.f64 1 (pow.f64 N 3)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 4))) (+.f64 (.f64 11/12 (/.f64 1 (pow.f64 N 4))) (+.f64 (.f64 -2/3 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 3))) (+.f64 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2)) (+.f64 (/.f64 1 (pow.f64 N 2)) (.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N))))))) (/.f64 1 (pow.f64 N 3)))
(.f64 2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) N))
(+.f64 (.f64 2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) N)) (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2))) (/.f64 1 (pow.f64 N 2))))
(+.f64 (.f64 2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) N)) (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 1 (.f64 -2/3 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 3))) (/.f64 1 (pow.f64 N 2)))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 4))) (+.f64 (.f64 11/12 (/.f64 1 (pow.f64 N 4))) (+.f64 (.f64 2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) N)) (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 1 (.f64 -2/3 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 3))) (/.f64 1 (pow.f64 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 (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 -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 1/2 (.f64 (pow.f64 N 2) (log.f64 (/.f64 1 N)))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 1 (log.f64 (/.f64 1 N))) (*.f64 (pow.f64 N 2) (log.f64 (/.f64 1 N))))) (/.f64 1 N)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 N 2) (log.f64 (/.f64 1 N))))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 -2/3 (log.f64 (/.f64 1 N))) 1) (.f64 (pow.f64 N 3) (log.f64 (/.f64 1 N))))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 1 (log.f64 (/.f64 1 N))) (.f64 (pow.f64 N 2) (log.f64 (/.f64 1 N))))) (/.f64 1 N)))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 N)))) (.f64 -1/2 (/.f64 (+.f64 1 (log.f64 (/.f64 1 N))) (log.f64 (/.f64 1 N))))) (.f64 (pow.f64 N 3) (log.f64 (/.f64 1 N))))) (.f64 1/4 (/.f64 1 (*.f64 (pow.f64 N 3) (log.f64 (/.f64 1 N)))))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 N 2) (log.f64 (/.f64 1 N))))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 11/12 (.f64 1/2 (log.f64 (/.f64 1 N)))) (.f64 (pow.f64 N 4) (log.f64 (/.f64 1 N))))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 -2/3 (log.f64 (/.f64 1 N))) 1) (.f64 (pow.f64 N 3) (log.f64 (/.f64 1 N))))) (+.f64 (/.f64 1 N) (+.f64 (.f64 -1/2 (/.f64 (+.f64 1 (log.f64 (/.f64 1 N))) (.f64 (pow.f64 N 2) (log.f64 (/.f64 1 N))))) (.f64 1/6 (/.f64 1 (.f64 (pow.f64 N 4) (log.f64 (/.f64 1 N)))))))))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (pow.f64 N 3) (log.f64 (/.f64 1 N))))) (+.f64 (.f64 1/4 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 N)))) (.f64 -1/2 (/.f64 (+.f64 1 (log.f64 (/.f64 1 N))) (log.f64 (/.f64 1 N))))) (.f64 (pow.f64 N 4) (log.f64 (/.f64 1 N))))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 -2/3 (log.f64 (/.f64 1 N))) 1) (log.f64 (/.f64 1 N)))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 N)))) (.f64 -1/2 (/.f64 (+.f64 1 (log.f64 (/.f64 1 N))) (log.f64 (/.f64 1 N))))) (log.f64 (/.f64 1 N)))) (.f64 1/4 (/.f64 1 (log.f64 (/.f64 1 N)))))) (.f64 (pow.f64 N 4) (log.f64 (/.f64 1 N))))) (.f64 -1/2 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 N)))) (.f64 -1/2 (/.f64 (+.f64 1 (log.f64 (/.f64 1 N))) (log.f64 (/.f64 1 N))))) (.f64 (pow.f64 N 3) (log.f64 (/.f64 1 N)))))))))
(.f64 2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (.f64 N (+.f64 (.f64 -2 (log.f64 (/.f64 -1 N))) (*.f64 2 (log.f64 -1))))))
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(fma.f64 1 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (cbrt.f64 (/.f64 1 N)) (-.f64 (.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (.f64 1/4 (pow.f64 N -4)))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) 2) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (-.f64 (.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (.f64 1/4 (pow.f64 N -4)))))
(fma.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (pow.f64 N -2)))) 1)
(.f64 1 (.f64 1/2 (pow.f64 N -2)))
(*.f64 1/2 (pow.f64 N -2))
(*.f64 1/2 (sqrt.f64 (pow.f64 N -4)))
(.f64 (cbrt.f64 (.f64 1/4 (pow.f64 N -4))) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))))
(*.f64 (/.f64 (sqrt.f64 1/2) N) (/.f64 (sqrt.f64 1/2) N))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 1/4 (pow.f64 N -4))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4)))))
(pow.f64 (*.f64 1/2 (pow.f64 N -2)) 1)
(pow.f64 (*.f64 1/4 (pow.f64 N -4)) 1/2)
(pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) 3)
(pow.f64 (/.f64 1/8 (pow.f64 N 6)) 1/3)
(pow.f64 (/.f64 (sqrt.f64 1/2) N) 2)
(pow.f64 (/.f64 (*.f64 N N) 1/2) -1)
(sqrt.f64 (*.f64 1/4 (pow.f64 N -4)))
(fabs.f64 (*.f64 1/2 (pow.f64 N -2)))
(log.f64 (pow.f64 (exp.f64 1/2) (pow.f64 N -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (pow.f64 N -2)))))
(cbrt.f64 (/.f64 1/8 (pow.f64 N 6)))
(expm1.f64 (log1p.f64 (*.f64 1/2 (pow.f64 N -2))))
(exp.f64 (log.f64 (*.f64 1/2 (pow.f64 N -2))))
(exp.f64 (.f64 (log.f64 (.f64 1/2 (pow.f64 N -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/2 (pow.f64 N -2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (pow.f64 N -3)))) 1)
(.f64 1 (.f64 1/3 (pow.f64 N -3)))
(*.f64 1/3 (pow.f64 N -3))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 1/3) N) 2) (/.f64 (cbrt.f64 1/3) N))
(*.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)))
(pow.f64 (*.f64 1/3 (pow.f64 N -3)) 1)
(pow.f64 (/.f64 (cbrt.f64 1/3) N) 3)
(pow.f64 (pow.f64 (*.f64 1/3 (pow.f64 N -3)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) 2)
(pow.f64 (/.f64 (pow.f64 N 3) 1/3) -1)
(sqrt.f64 (pow.f64 (*.f64 1/3 (pow.f64 N -3)) 2))
(log.f64 (pow.f64 (exp.f64 1/3) (pow.f64 N -3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (pow.f64 N -3)))))
(cbrt.f64 (pow.f64 (*.f64 1/3 (pow.f64 N -3)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/3 (pow.f64 N -3))))
(exp.f64 (log.f64 (*.f64 1/3 (pow.f64 N -3))))
(exp.f64 (.f64 (log.f64 (.f64 1/3 (pow.f64 N -3))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/3 (pow.f64 N -3))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/4 (pow.f64 N -4)))) 1)
(.f64 1 (.f64 1/4 (pow.f64 N -4)))
(.f64 (.f64 1/2 (pow.f64 N -2)) (*.f64 1/2 (pow.f64 N -2)))
(*.f64 1/4 (pow.f64 N -4))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/4 (pow.f64 N -4))) 2) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))))
(pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2)
(pow.f64 (*.f64 1/4 (pow.f64 N -4)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) 3)
(pow.f64 (*.f64 1/64 (pow.f64 (pow.f64 N -4) 3)) 1/3)
(pow.f64 (/.f64 (pow.f64 N 4) 1/4) -1)
(sqrt.f64 (pow.f64 (*.f64 1/4 (pow.f64 N -4)) 2))
(log.f64 (pow.f64 (exp.f64 1/4) (pow.f64 N -4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/4 (pow.f64 N -4)))))
(cbrt.f64 (*.f64 1/64 (pow.f64 (pow.f64 N -4) 3)))
(expm1.f64 (log1p.f64 (*.f64 1/4 (pow.f64 N -4))))
(exp.f64 (log.f64 (*.f64 1/4 (pow.f64 N -4))))
(exp.f64 (.f64 (log.f64 (.f64 1/4 (pow.f64 N -4))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/4 (pow.f64 N -4))))

Outputs
(*.f64 -1 (pow.f64 (log.f64 N) 2))
(neg.f64 (pow.f64 (log.f64 N) 2))
(+.f64 (pow.f64 N 2) (*.f64 -1 (pow.f64 (log.f64 N) 2)))
(+.f64 (*.f64 N N) (neg.f64 (pow.f64 (log.f64 N) 2)))
(-.f64 (*.f64 N N) (pow.f64 (log.f64 N) 2))
(+.f64 (pow.f64 N 2) (+.f64 (.f64 -1 (pow.f64 N 3)) (.f64 -1 (pow.f64 (log.f64 N) 2))))
(+.f64 (.f64 N N) (.f64 -1 (+.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 2))))
(-.f64 (-.f64 (*.f64 N N) (pow.f64 N 3)) (pow.f64 (log.f64 N) 2))
(+.f64 (pow.f64 N 2) (+.f64 (.f64 11/12 (pow.f64 N 4)) (+.f64 (.f64 -1 (pow.f64 N 3)) (*.f64 -1 (pow.f64 (log.f64 N) 2)))))
(+.f64 (.f64 N N) (fma.f64 11/12 (pow.f64 N 4) (.f64 -1 (+.f64 (pow.f64 N 3) (pow.f64 (log.f64 N) 2)))))
(fma.f64 N N (-.f64 (-.f64 (*.f64 11/12 (pow.f64 N 4)) (pow.f64 N 3)) (pow.f64 (log.f64 N) 2)))
(*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N))
(*.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N))
(/.f64 (*.f64 2 (log.f64 N)) N)
(+.f64 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2)) (+.f64 (/.f64 1 (pow.f64 N 2)) (*.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N))))
(+.f64 (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) (+.f64 (.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N)) (/.f64 1 (*.f64 N N))))
(+.f64 (/.f64 (.f64 2 (log.f64 N)) N) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) (/.f64 1 (*.f64 N N))))
(-.f64 (+.f64 (.f64 -2/3 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 3))) (+.f64 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2)) (+.f64 (/.f64 1 (pow.f64 N 2)) (.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N))))) (/.f64 1 (pow.f64 N 3)))
(-.f64 (fma.f64 -2/3 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) (+.f64 (.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N)) (/.f64 1 (*.f64 N N))))) (/.f64 1 (pow.f64 N 3)))
(+.f64 (+.f64 (/.f64 (.f64 2 (log.f64 N)) N) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) (/.f64 1 (.f64 N N)))) (/.f64 (+.f64 -1 (.f64 (log.f64 N) 2/3)) (pow.f64 N 3)))
(+.f64 (+.f64 (/.f64 (.f64 2 (log.f64 N)) N) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) (/.f64 1 (*.f64 N N)))) (/.f64 (fma.f64 (log.f64 N) 2/3 -1) (pow.f64 N 3)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 4))) (+.f64 (.f64 11/12 (/.f64 1 (pow.f64 N 4))) (+.f64 (.f64 -2/3 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 3))) (+.f64 (/.f64 (log.f64 (/.f64 1 N)) (pow.f64 N 2)) (+.f64 (/.f64 1 (pow.f64 N 2)) (.f64 -2 (/.f64 (log.f64 (/.f64 1 N)) N))))))) (/.f64 1 (pow.f64 N 3)))
(-.f64 (fma.f64 1/2 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 4)) (+.f64 (fma.f64 -2/3 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 3)) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) (+.f64 (.f64 -2 (/.f64 (neg.f64 (log.f64 N)) N)) (/.f64 1 (*.f64 N N))))) (/.f64 11/12 (pow.f64 N 4)))) (/.f64 1 (pow.f64 N 3)))
(+.f64 (fma.f64 1/2 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 4)) (/.f64 11/12 (pow.f64 N 4))) (+.f64 (+.f64 (/.f64 (.f64 2 (log.f64 N)) N) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) (/.f64 1 (.f64 N N)))) (/.f64 (+.f64 -1 (.f64 (log.f64 N) 2/3)) (pow.f64 N 3))))
(+.f64 (fma.f64 1/2 (/.f64 (neg.f64 (log.f64 N)) (pow.f64 N 4)) (/.f64 11/12 (pow.f64 N 4))) (+.f64 (+.f64 (/.f64 (.f64 2 (log.f64 N)) N) (+.f64 (/.f64 (neg.f64 (log.f64 N)) (.f64 N N)) (/.f64 1 (*.f64 N N)))) (/.f64 (fma.f64 (log.f64 N) 2/3 -1) (pow.f64 N 3))))
(.f64 2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) N))
(*.f64 2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) N))
(/.f64 2 (/.f64 N (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))))
(+.f64 (.f64 2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) N)) (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2))) (/.f64 1 (pow.f64 N 2))))
(fma.f64 2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) N) (fma.f64 -1 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (.f64 N N)) (/.f64 1 (.f64 N N))))
(fma.f64 2 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) N) (-.f64 (/.f64 1 (.f64 N N)) (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (.f64 N N))))
(+.f64 (.f64 2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) N)) (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 1 (.f64 -2/3 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 3))) (/.f64 1 (pow.f64 N 2)))))
(fma.f64 2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) N) (fma.f64 -1 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (.f64 N N)) (fma.f64 -1 (/.f64 (+.f64 1 (.f64 -2/3 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 3)) (/.f64 1 (*.f64 N N)))))
(fma.f64 2 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) N) (-.f64 (-.f64 (/.f64 1 (.f64 N N)) (/.f64 (fma.f64 -2/3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 1) (pow.f64 N 3))) (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (.f64 N N))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 4))) (+.f64 (.f64 11/12 (/.f64 1 (pow.f64 N 4))) (+.f64 (.f64 2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) N)) (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))) (pow.f64 N 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 1 (.f64 -2/3 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 3))) (/.f64 1 (pow.f64 N 2)))))))
(fma.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (pow.f64 N 4)) (+.f64 (/.f64 11/12 (pow.f64 N 4)) (fma.f64 2 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) N) (fma.f64 -1 (/.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) (.f64 N N)) (fma.f64 -1 (/.f64 (+.f64 1 (.f64 -2/3 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))))) (pow.f64 N 3)) (/.f64 1 (*.f64 N N)))))))
(+.f64 (fma.f64 2 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) N) (-.f64 (-.f64 (/.f64 1 (.f64 N N)) (/.f64 (fma.f64 -2/3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 1) (pow.f64 N 3))) (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (.f64 N N)))) (fma.f64 -1/2 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (pow.f64 N 4)) (/.f64 11/12 (pow.f64 N 4))))
(pow.f64 (log.f64 (/.f64 1 N)) 2)
(pow.f64 (neg.f64 (log.f64 N)) 2)
(pow.f64 (log.f64 N) 2)
(pow.f64 (log.f64 (/.f64 1 N)) 2)
(pow.f64 (neg.f64 (log.f64 N)) 2)
(pow.f64 (log.f64 N) 2)
(pow.f64 (log.f64 (/.f64 1 N)) 2)
(pow.f64 (neg.f64 (log.f64 N)) 2)
(pow.f64 (log.f64 N) 2)
(pow.f64 (log.f64 (/.f64 1 N)) 2)
(pow.f64 (neg.f64 (log.f64 N)) 2)
(pow.f64 (log.f64 N) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N)))) 2)
(pow.f64 (-.f64 (log.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) (neg.f64 (log.f64 (/.f64 -1 N)))) 2)
(pow.f64 (-.f64 (log.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) (neg.f64 (log.f64 (/.f64 -1 N)))) 2)
(pow.f64 (-.f64 (log.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) (neg.f64 (log.f64 (/.f64 -1 N)))) 2)
(pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) 2)
(*.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 (.f64 N N) -1/2)))
(+.f64 N (-.f64 (.f64 (.f64 N N) -1/2) (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 (.f64 N N) -1/2))))
(+.f64 N (-.f64 (fma.f64 (pow.f64 N 3) 1/3 (.f64 (.f64 N N) -1/2)) (log.f64 N)))
(/.f64 1 N)
(+.f64 (/.f64 1/2 (.f64 (pow.f64 N 2) (log.f64 (/.f64 1 N)))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 1 (log.f64 (/.f64 1 N))) (*.f64 (pow.f64 N 2) (log.f64 (/.f64 1 N))))) (/.f64 1 N)))
(+.f64 (fma.f64 -1/2 (/.f64 (+.f64 1 (neg.f64 (log.f64 N))) (.f64 (.f64 N N) (neg.f64 (log.f64 N)))) (/.f64 1 N)) (/.f64 1/2 (.f64 (.f64 N N) (neg.f64 (log.f64 N)))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 (.f64 1/2 (/.f64 (-.f64 1 (log.f64 N)) (log.f64 N))) (.f64 N N)) (/.f64 (/.f64 -1/2 (log.f64 N)) (*.f64 N N))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 N 2) (log.f64 (/.f64 1 N))))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (.f64 -2/3 (log.f64 (/.f64 1 N))) 1) (.f64 (pow.f64 N 3) (log.f64 (/.f64 1 N))))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 1 (log.f64 (/.f64 1 N))) (.f64 (pow.f64 N 2) (log.f64 (/.f64 1 N))))) (/.f64 1 N)))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 N)))) (.f64 -1/2 (/.f64 (+.f64 1 (log.f64 (/.f64 1 N))) (log.f64 (/.f64 1 N))))) (.f64 (pow.f64 N 3) (log.f64 (/.f64 1 N))))) (.f64 1/4 (/.f64 1 (*.f64 (pow.f64 N 3) (log.f64 (/.f64 1 N)))))))
(+.f64 (/.f64 1/2 (.f64 (.f64 N N) (neg.f64 (log.f64 N)))) (-.f64 (fma.f64 -1/2 (/.f64 (fma.f64 -2/3 (neg.f64 (log.f64 N)) -1) (.f64 (pow.f64 N 3) (neg.f64 (log.f64 N)))) (fma.f64 -1/2 (/.f64 (+.f64 1 (neg.f64 (log.f64 N))) (.f64 (.f64 N N) (neg.f64 (log.f64 N)))) (/.f64 1 N))) (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1/2 (neg.f64 (log.f64 N))) (.f64 -1/2 (/.f64 (+.f64 1 (neg.f64 (log.f64 N))) (neg.f64 (log.f64 N))))) (.f64 (pow.f64 N 3) (neg.f64 (log.f64 N)))) (/.f64 1/4 (.f64 (pow.f64 N 3) (neg.f64 (log.f64 N)))))))
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(/.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) 2) (pow.f64 (fma.f64 1/2 (pow.f64 N -2) (.f64 1/4 (pow.f64 N -4))) 2)) (+.f64 (fma.f64 1/2 (pow.f64 N -2) (.f64 1/4 (pow.f64 N -4))) (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))))
(pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 1)
(+.f64 (/.f64 1 N) (-.f64 (.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (.f64 1/4 (pow.f64 N -4)))))
(-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) 3)
(+.f64 (/.f64 1 N) (-.f64 (.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (.f64 1/4 (pow.f64 N -4)))))
(-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))
(pow.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 3) 1/3)
(+.f64 (/.f64 1 N) (-.f64 (.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (.f64 1/4 (pow.f64 N -4)))))
(-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))
(pow.f64 (sqrt.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))) 2)
(+.f64 (/.f64 1 N) (-.f64 (.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (.f64 1/4 (pow.f64 N -4)))))
(-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))
(sqrt.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 2))
(fabs.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(log.f64 (exp.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(+.f64 (/.f64 1 N) (-.f64 (.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (.f64 1/4 (pow.f64 N -4)))))
(-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))))
(+.f64 (/.f64 1 N) (-.f64 (.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (.f64 1/4 (pow.f64 N -4)))))
(-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))
(cbrt.f64 (pow.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))) 3))
(+.f64 (/.f64 1 N) (-.f64 (.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (.f64 1/4 (pow.f64 N -4)))))
(-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))
(expm1.f64 (log1p.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(+.f64 (/.f64 1 N) (-.f64 (.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (.f64 1/4 (pow.f64 N -4)))))
(-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))
(exp.f64 (log.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(+.f64 (/.f64 1 N) (-.f64 (.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (.f64 1/4 (pow.f64 N -4)))))
(-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))
(exp.f64 (.f64 (log.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (.f64 1/4 (pow.f64 N -4))))) 1))
(+.f64 (/.f64 1 N) (-.f64 (.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (.f64 1/4 (pow.f64 N -4)))))
(-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(+.f64 (/.f64 1 N) (-.f64 (.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (.f64 1/4 (pow.f64 N -4)))))
(-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))
(fma.f64 1 (/.f64 1 N) (-.f64 (.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (.f64 1/4 (pow.f64 N -4)))))
(+.f64 (/.f64 1 N) (-.f64 (.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (.f64 1/4 (pow.f64 N -4)))))
(-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))
(fma.f64 1 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(+.f64 (/.f64 1 N) (-.f64 (.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (.f64 1/4 (pow.f64 N -4)))))
(-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (cbrt.f64 (/.f64 1 N)) (-.f64 (.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (.f64 1/4 (pow.f64 N -4)))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) 2) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(+.f64 (/.f64 1 N) (-.f64 (.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (.f64 1/4 (pow.f64 N -4)))))
(-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (-.f64 (.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (.f64 1/4 (pow.f64 N -4)))))
(+.f64 (/.f64 1 N) (-.f64 (.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (.f64 1/4 (pow.f64 N -4)))))
(-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))
(fma.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(+.f64 (/.f64 1 N) (-.f64 (.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (.f64 1/4 (pow.f64 N -4)))))
(-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (pow.f64 N -2)))) 1)
(*.f64 1/2 (pow.f64 N -2))
(.f64 1 (.f64 1/2 (pow.f64 N -2)))
(*.f64 1/2 (pow.f64 N -2))
(*.f64 1/2 (pow.f64 N -2))
(*.f64 1/2 (sqrt.f64 (pow.f64 N -4)))
(*.f64 1/2 (pow.f64 N -2))
(.f64 (cbrt.f64 (.f64 1/4 (pow.f64 N -4))) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))))
(*.f64 (/.f64 (sqrt.f64 1/2) N) (/.f64 (sqrt.f64 1/2) N))
(pow.f64 (/.f64 (sqrt.f64 1/2) N) 2)
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 1/4 (pow.f64 N -4))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4)))))
(.f64 (fabs.f64 (cbrt.f64 (.f64 1/4 (pow.f64 N -4)))) (sqrt.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4)))))
(pow.f64 (*.f64 1/2 (pow.f64 N -2)) 1)
(*.f64 1/2 (pow.f64 N -2))
(pow.f64 (*.f64 1/4 (pow.f64 N -4)) 1/2)
(*.f64 1/2 (pow.f64 N -2))
(pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) 3)
(*.f64 1/2 (pow.f64 N -2))
(pow.f64 (/.f64 1/8 (pow.f64 N 6)) 1/3)
(cbrt.f64 (/.f64 1/8 (pow.f64 N 6)))
(pow.f64 (/.f64 (sqrt.f64 1/2) N) 2)
(pow.f64 (/.f64 (*.f64 N N) 1/2) -1)
(/.f64 1/2 (*.f64 N N))
(sqrt.f64 (*.f64 1/4 (pow.f64 N -4)))
(*.f64 1/2 (pow.f64 N -2))
(fabs.f64 (*.f64 1/2 (pow.f64 N -2)))
(*.f64 1/2 (pow.f64 N -2))
(log.f64 (pow.f64 (exp.f64 1/2) (pow.f64 N -2)))
(*.f64 1/2 (pow.f64 N -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (pow.f64 N -2)))))
(*.f64 1/2 (pow.f64 N -2))
(cbrt.f64 (/.f64 1/8 (pow.f64 N 6)))
(expm1.f64 (log1p.f64 (*.f64 1/2 (pow.f64 N -2))))
(*.f64 1/2 (pow.f64 N -2))
(exp.f64 (log.f64 (*.f64 1/2 (pow.f64 N -2))))
(*.f64 1/2 (pow.f64 N -2))
(exp.f64 (.f64 (log.f64 (.f64 1/2 (pow.f64 N -2))) 1))
(*.f64 1/2 (pow.f64 N -2))
(log1p.f64 (expm1.f64 (*.f64 1/2 (pow.f64 N -2))))
(*.f64 1/2 (pow.f64 N -2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (pow.f64 N -3)))) 1)
(*.f64 1/3 (pow.f64 N -3))
(.f64 1 (.f64 1/3 (pow.f64 N -3)))
(*.f64 1/3 (pow.f64 N -3))
(*.f64 1/3 (pow.f64 N -3))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 1/3) N) 2) (/.f64 (cbrt.f64 1/3) N))
(pow.f64 (/.f64 (cbrt.f64 1/3) N) 3)
(/.f64 1/3 (pow.f64 N 3))
(*.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)))
(pow.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) 2)
(pow.f64 (*.f64 1/3 (pow.f64 N -3)) 1)
(*.f64 1/3 (pow.f64 N -3))
(pow.f64 (/.f64 (cbrt.f64 1/3) N) 3)
(/.f64 1/3 (pow.f64 N 3))
(pow.f64 (pow.f64 (*.f64 1/3 (pow.f64 N -3)) 3) 1/3)
(*.f64 1/3 (pow.f64 N -3))
(pow.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) 2)
(pow.f64 (/.f64 (pow.f64 N 3) 1/3) -1)
(pow.f64 (/.f64 (cbrt.f64 1/3) N) 3)
(/.f64 1/3 (pow.f64 N 3))
(sqrt.f64 (pow.f64 (*.f64 1/3 (pow.f64 N -3)) 2))
(fabs.f64 (*.f64 1/3 (pow.f64 N -3)))
(log.f64 (pow.f64 (exp.f64 1/3) (pow.f64 N -3)))
(*.f64 1/3 (pow.f64 N -3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (pow.f64 N -3)))))
(*.f64 1/3 (pow.f64 N -3))
(cbrt.f64 (pow.f64 (*.f64 1/3 (pow.f64 N -3)) 3))
(*.f64 1/3 (pow.f64 N -3))
(expm1.f64 (log1p.f64 (*.f64 1/3 (pow.f64 N -3))))
(*.f64 1/3 (pow.f64 N -3))
(exp.f64 (log.f64 (*.f64 1/3 (pow.f64 N -3))))
(*.f64 1/3 (pow.f64 N -3))
(exp.f64 (.f64 (log.f64 (.f64 1/3 (pow.f64 N -3))) 1))
(*.f64 1/3 (pow.f64 N -3))
(log1p.f64 (expm1.f64 (*.f64 1/3 (pow.f64 N -3))))
(*.f64 1/3 (pow.f64 N -3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/4 (pow.f64 N -4)))) 1)
(*.f64 1/4 (pow.f64 N -4))
(.f64 1 (.f64 1/4 (pow.f64 N -4)))
(*.f64 1/4 (pow.f64 N -4))
(.f64 (.f64 1/2 (pow.f64 N -2)) (*.f64 1/2 (pow.f64 N -2)))
(*.f64 1/4 (pow.f64 N -4))
(*.f64 1/4 (pow.f64 N -4))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/4 (pow.f64 N -4))) 2) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))))
(*.f64 1/4 (pow.f64 N -4))
(pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2)
(*.f64 1/4 (pow.f64 N -4))
(pow.f64 (*.f64 1/4 (pow.f64 N -4)) 1)
(*.f64 1/4 (pow.f64 N -4))
(pow.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) 3)
(*.f64 1/4 (pow.f64 N -4))
(pow.f64 (*.f64 1/64 (pow.f64 (pow.f64 N -4) 3)) 1/3)
(cbrt.f64 (*.f64 1/64 (pow.f64 (pow.f64 N -4) 3)))
(pow.f64 (/.f64 (pow.f64 N 4) 1/4) -1)
(/.f64 1 (/.f64 (pow.f64 N 4) 1/4))
(/.f64 1/4 (pow.f64 N 4))
(sqrt.f64 (pow.f64 (*.f64 1/4 (pow.f64 N -4)) 2))
(sqrt.f64 (*.f64 (pow.f64 N -8) 1/16))
(log.f64 (pow.f64 (exp.f64 1/4) (pow.f64 N -4)))
(*.f64 1/4 (pow.f64 N -4))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/4 (pow.f64 N -4)))))
(*.f64 1/4 (pow.f64 N -4))
(cbrt.f64 (*.f64 1/64 (pow.f64 (pow.f64 N -4) 3)))
(expm1.f64 (log1p.f64 (*.f64 1/4 (pow.f64 N -4))))
(*.f64 1/4 (pow.f64 N -4))
(exp.f64 (log.f64 (*.f64 1/4 (pow.f64 N -4))))
(*.f64 1/4 (pow.f64 N -4))
(exp.f64 (.f64 (log.f64 (.f64 1/4 (pow.f64 N -4))) 1))
(*.f64 1/4 (pow.f64 N -4))
(log1p.f64 (expm1.f64 (*.f64 1/4 (pow.f64 N -4))))
(*.f64 1/4 (pow.f64 N -4))

eval274.0ms (4.7%)

Compiler: Compiled 12832 to 8924 computations (30.5% saved)

prune65.0ms (1.1%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	387	5	392
Fresh	3	2	5
Picked	2	3	5
Done	0	0	0
Total	392	10	402

Accurracy

100.0%

Counts

402 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	46.3%	(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (-.f64 (.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (.f64 1/4 (pow.f64 N -4)))))
✓	48.6%	(/.f64 1 N)
▶	46.7%	(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
▶	47.7%	(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/2 (*.f64 N N)))
✓	46.7%	(-.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))))
▶	54.2%	(-.f64 N (log.f64 N))
	56.7%	(*.f64 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
▶	57.4%	(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
✓	52.6%	(neg.f64 (log.f64 N))
▶	57.0%	(log.f64 (+.f64 1 (/.f64 1 N)))
	46.3%	(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (-.f64 (.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (.f64 1/4 (pow.f64 N -4)))))
✓	48.6%	(/.f64 1 N)
▶	46.7%	(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
▶	47.7%	(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/2 (*.f64 N N)))
✓	46.7%	(-.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))))
▶	54.2%	(-.f64 N (log.f64 N))
	56.7%	(*.f64 3 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
▶	57.4%	(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
✓	52.6%	(neg.f64 (log.f64 N))
▶	57.0%	(log.f64 (+.f64 1 (/.f64 1 N)))

Compiler

Compiled 380 to 290 computations (23.7% saved)

localize332.0ms (5.7%)

Local Accuracy

Found 10 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3)))
	99.4%	(/.f64 1/3 (pow.f64 N 3))
	99.0%	(/.f64 1/2 (*.f64 N N))
✓	78.2%	(-.f64 (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))) (/.f64 1/2 (*.f64 N N)))
✓	57.0%	(log.f64 (+.f64 1 (/.f64 1 N)))
✓	100.0%	(-.f64 N (log.f64 N))
✓	99.8%	(/.f64 (/.f64 1/2 N) N)
✓	99.6%	(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
✓	100.0%	(/.f64 N (+.f64 N 1))
✓	57.4%	(log.f64 (/.f64 N (+.f64 N 1)))

Compiler

Compiled 119 to 78 computations (34.5% saved)

series3.0ms (0.1%)

Counts

8 → 96

Calls

24 calls:

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

rewrite91.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

578×	`add-sqr-sqrt`
556×	`pow1`
554×	`*-un-lft-identity`
546×	`add-exp-log`
542×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	152
1	598	142

Stop Event

1×	node limit

Counts

8 → 324

Calls

Call 1

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

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

simplify134.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1182×	`fma-def`
878×	`associate-l`
872×	`times-frac`
860×	`associate-r`
362×	`sub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	915	15936
1	2524	14304

Stop Event

1×	node limit

Counts

420 → 551

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

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

eval348.0ms (5.9%)

Compiler: Compiled 11623 to 8332 computations (28.3% saved)

prune152.0ms (2.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	592	4	596
Fresh	2	0	2
Picked	5	0	5
Done	1	2	3
Total	600	6	606

Accurracy

100.0%

Counts

606 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	15.7%	(/.f64 (-.f64 (.f64 N (.f64 N 2)) N) (.f64 N (.f64 N (*.f64 N 2))))
▶	24.1%	(/.f64 (-.f64 N (.f64 N (/.f64 1/2 N))) (.f64 N N))
▶	46.7%	(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
✓	48.6%	(/.f64 1 N)
✓	52.6%	(neg.f64 (log.f64 N))
▶	99.6%	(log1p.f64 (/.f64 1 N))
▶	15.7%	(/.f64 (-.f64 (.f64 N (.f64 N 2)) N) (.f64 N (.f64 N (*.f64 N 2))))
▶	24.1%	(/.f64 (-.f64 N (.f64 N (/.f64 1/2 N))) (.f64 N N))
▶	46.7%	(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
✓	48.6%	(/.f64 1 N)
✓	52.6%	(neg.f64 (log.f64 N))
▶	99.6%	(log1p.f64 (/.f64 1 N))

Compiler

Compiled 98 to 66 computations (32.7% saved)

localize136.0ms (2.3%)

Local Accuracy

Found 7 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(-.f64 (.f64 N (.f64 N 2)) N)
✓	99.9%	(.f64 N (.f64 N (*.f64 N 2)))
✓	60.3%	(/.f64 (-.f64 (.f64 N (.f64 N 2)) N) (.f64 N (.f64 N (*.f64 N 2))))
✓	99.4%	(*.f64 N (/.f64 1/2 N))
✓	77.3%	(/.f64 (-.f64 N (.f64 N (/.f64 1/2 N))) (.f64 N N))
✓	99.9%	(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
✓	99.6%	(log1p.f64 (/.f64 1 N))

Compiler

Compiled 99 to 60 computations (39.4% saved)

series5.0ms (0.1%)

Counts

7 → 84

Calls

21 calls:

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

rewrite70.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

528×	`add-sqr-sqrt`
512×	`pow1`
510×	`*-un-lft-identity`
492×	`log1p-expm1-u`
492×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	155
1	528	143

Stop Event

1×	node limit

Counts

7 → 212

Calls

Call 1

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

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

simplify109.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1894×	`fma-def`
1276×	`log-prod`
994×	`times-frac`
646×	`associate-r`
604×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	503	7036
1	1272	6094
2	6173	6086

Stop Event

1×	node limit

Counts

296 → 302

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

eval111.0ms (1.9%)

Compiler: Compiled 4991 to 3517 computations (29.5% saved)

prune126.0ms (2.1%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	300	2	302
Fresh	0	0	0
Picked	1	3	4
Done	0	2	2
Total	301	7	308

Accurracy

100.0%

Counts

308 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	15.7%	(/.f64 (-.f64 (.f64 N (.f64 N 2)) N) (.f64 N (.f64 N (*.f64 N 2))))
	24.1%	(/.f64 (-.f64 N 1/2) (*.f64 N N))
✓	46.7%	(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
	16.5%	(/.f64 (.f64 N (.f64 N 2)) (.f64 N (.f64 N (*.f64 N 2))))
✓	48.6%	(/.f64 1 N)
✓	52.6%	(neg.f64 (log.f64 N))
✓	99.6%	(log1p.f64 (/.f64 1 N))

Compiler

Compiled 287 to 180 computations (37.3% saved)

regimes23.0ms (0.4%)

Counts

23 → 1

Calls

Call 1

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

Outputs
(log1p.f64 (/.f64 1 N))

Calls

2 calls:

10.0ms	N
6.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Results

Accuracy	Segments	Branch
99.6%	1	`N`
99.6%	1	`(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))`

Compiler

Compiled 238 to 147 computations (38.2% saved)

regimes12.0ms (0.2%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
97.8%	2	`N`

Compiler

Compiled 71 to 43 computations (39.4% saved)

regimes7.0ms (0.1%)

Accuracy

Total -21.5b remaining (-65.5%)

Threshold costs -21.5b (-65.5%)

Counts

7 → 1

Calls

Call 1

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

Outputs
(/.f64 1 N)

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
48.6%	1	`N`

Compiler

Compiled 68 to 41 computations (39.7% saved)

bsearch19.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	0.012795416343730775	6.242058282576257

Results

17.0ms

128×

body

256

valid

Compiler

Compiled 124 to 97 computations (21.8% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	55
1	25	55
2	27	55
3	28	55

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(log1p.f64 (/.f64 1 N))
(if (<=.f64 N 6124895493223875/9007199254740992) (neg.f64 (log.f64 N)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(/.f64 1 N)

Outputs
(log1p.f64 (/.f64 1 N))
(if (<=.f64 N 6124895493223875/9007199254740992) (neg.f64 (log.f64 N)) (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(/.f64 1 N)

Compiler

Compiled 24 to 18 computations (25% saved)

soundness748.0ms (12.7%)

Rules

1682×	`div-sub`
1682×	`div-sub`
1522×	`fma-neg`
1522×	`fma-neg`
1512×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	14	15
2	19	15
3	27	15
4	36	15
5	53	15
6	90	15
7	126	15
8	175	15
9	210	15
10	236	15
11	238	15
0	7	15
1	144	15
2	1887	15
0	25	152
1	598	142
0	915	15936
1	2524	14304
0	126	1407
1	336	1319
2	1101	1313
3	5446	1309
0	126	1407
1	336	1319
2	1101	1313
3	5446	1309
0	25	152
1	598	142
0	915	15936
1	2524	14304

Stop Event

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

Compiler

Compiled 228 to 171 computations (25% saved)

end0.0ms (0%)

preprocess38.0ms (0.6%)

Compiler: Compiled 60 to 44 computations (26.7% saved)

Iter	Nodes	Cost
0	9	21
1	14	15
2	19	15
3	27	15
4	36	15
5	53	15
6	90	15
7	126	15
8	175	15
9	210	15
10	236	15
11	238	15

Iter	Nodes	Cost
0	9	21
1	14	15
2	19	15
3	27	15
4	36	15
5	53	15
6	90	15
7	126	15
8	175	15
9	210	15
10	236	15
11	238	15

analyze2.0ms (0%)

sample1.9s (33.1%)

preprocess268.0ms (4.6%)

simplify9.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize44.0ms (0.7%)

series1.0ms (0%)

rewrite60.0ms (1%)

simplify85.0ms (1.4%)

eval16.0ms (0.3%)

prune31.0ms (0.5%)

localize295.0ms (5%)

series58.0ms (1%)

rewrite91.0ms (1.5%)

simplify167.0ms (2.8%)

eval274.0ms (4.7%)

prune65.0ms (1.1%)

localize332.0ms (5.7%)

series3.0ms (0.1%)

rewrite91.0ms (1.5%)

simplify134.0ms (2.3%)

eval348.0ms (5.9%)

prune152.0ms (2.6%)

localize136.0ms (2.3%)

series5.0ms (0.1%)

rewrite70.0ms (1.2%)

simplify109.0ms (1.9%)

eval111.0ms (1.9%)

prune126.0ms (2.1%)

regimes23.0ms (0.4%)

regimes12.0ms (0.2%)

regimes7.0ms (0.1%)

bsearch19.0ms (0.3%)

simplify5.0ms (0.1%)

soundness748.0ms (12.7%)

end0.0ms (0%)

preprocess38.0ms (0.6%)

Profiling

Iter	Nodes	Cost
0	9	21
1	14	15
2	19	15
3	27	15
4	36	15
5	53	15
6	90	15
7	126	15
8	175	15
9	210	15
10	236	15
11	238	15