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)

sample1.6s (25.7%)

Results

641.0ms	4830×	body	256	valid
603.0ms	2098×	body	1024	valid
199.0ms	1045×	body	512	valid
118.0ms	283×	body	2048	valid
1.0ms	7×	body	256	invalid

Bogosity

preprocess296.0ms (4.8%)

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

55.4%

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.4%	(-.f64 (log1p.f64 N) (log.f64 N))
▶	55.4%	(-.f64 (log1p.f64 N) (log.f64 N))

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize43.0ms (0.7%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	55.4%	(-.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))

rewrite53.0ms (0.9%)

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)))

simplify88.0ms (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))

eval21.0ms (0.3%)

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

prune18.0ms (0.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	64	7	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	7	72

Accurracy

100.0%

Counts

72 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.4%	(/.f64 1 N)
▶	48.7%	(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
	48.8%	(-.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))))
▶	52.4%	(-.f64 N (log.f64 N))
	49.7%	(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
▶	51.2%	(neg.f64 (log.f64 N))
▶	55.6%	(log.f64 (/.f64 (+.f64 N 1) N))
▶	50.4%	(/.f64 1 N)
▶	48.7%	(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
	48.8%	(-.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))))
▶	52.4%	(-.f64 N (log.f64 N))
	49.7%	(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
▶	51.2%	(neg.f64 (log.f64 N))
▶	55.6%	(log.f64 (/.f64 (+.f64 N 1) N))

Compiler

Compiled 272 to 200 computations (26.5% saved)

localize126.0ms (2.1%)

Local Accuracy

Found 5 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(-.f64 N (log.f64 N))
✓	100.0%	(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
✓	99.8%	(/.f64 (/.f64 1/2 N) N)
✓	100.0%	(/.f64 (+.f64 N 1) N)
✓	55.6%	(log.f64 (/.f64 (+.f64 N 1) N))

Compiler

Compiled 59 to 33 computations (44.1% saved)

series11.0ms (0.2%)

Counts

5 → 60

Calls

15 calls:

Time	Variable		Point	Expression
5.0ms	N	@	0	(-.f64 N (log.f64 N))
2.0ms	N	@	-inf	(-.f64 N (log.f64 N))
1.0ms	N	@	inf	(-.f64 N (log.f64 N))
1.0ms	N	@	0	(/.f64 (/.f64 1/2 N) N)
0.0ms	N	@	inf	(/.f64 (+.f64 N 1) N)

rewrite117.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1654×	`log-prod`
1330×	`fma-def`
600×	`expm1-udef`
598×	`log1p-udef`
536×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	73
1	341	71
2	5142	71

Stop Event

1×	node limit

Counts

5 → 353

Calls

Call 1

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

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

simplify172.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1208×	`fma-neg`
624×	`fma-def`
566×	`log-prod`
478×	`exp-prod`
434×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	739	13321
1	1807	11945
2	6112	11637

Stop Event

1×	node limit

Counts

413 → 503

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

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

eval174.0ms (2.8%)

Compiler: Compiled 7799 to 4929 computations (36.8% saved)

prune78.0ms (1.3%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	496	7	503
Fresh	1	1	2
Picked	1	4	5
Done	0	0	0
Total	498	12	510

Accurracy

100.0%

Counts

510 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.9%	(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2)
▶	18.2%	(/.f64 (-.f64 (.f64 -1 (.f64 N N)) (.f64 (neg.f64 N) 1/2)) (.f64 (neg.f64 N) (*.f64 N N)))
▶	28.7%	(/.f64 (+.f64 N -1/2) (*.f64 N N))
▶	48.7%	(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
✓	50.4%	(/.f64 1 N)
▶	48.8%	(-.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))))
	28.7%	(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 N -1/2) (*.f64 N N))) (/.f64 1/4 (pow.f64 N 4)))
✓	52.4%	(-.f64 N (log.f64 N))
▶	29.7%	(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 N -1/2) (*.f64 N N)))
✓	51.2%	(neg.f64 (log.f64 N))
✓	55.6%	(log.f64 (/.f64 (+.f64 N 1) N))
	4.6%	N
	47.9%	(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) 2)
▶	18.2%	(/.f64 (-.f64 (.f64 -1 (.f64 N N)) (.f64 (neg.f64 N) 1/2)) (.f64 (neg.f64 N) (*.f64 N N)))
▶	28.7%	(/.f64 (+.f64 N -1/2) (*.f64 N N))
▶	48.7%	(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
✓	50.4%	(/.f64 1 N)
▶	48.8%	(-.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))))
	28.7%	(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 N -1/2) (*.f64 N N))) (/.f64 1/4 (pow.f64 N 4)))
✓	52.4%	(-.f64 N (log.f64 N))
▶	29.7%	(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 N -1/2) (*.f64 N N)))
✓	51.2%	(neg.f64 (log.f64 N))
✓	55.6%	(log.f64 (/.f64 (+.f64 N 1) N))
	4.6%	N

Compiler

Compiled 448 to 318 computations (29% saved)

localize173.0ms (2.8%)

Local Accuracy

Found 13 expressions with local accuracy:

New	Accuracy	Program
✓	99.2%	(/.f64 1/3 (pow.f64 N 3))
✓	79.8%	(/.f64 (+.f64 N -1/2) (*.f64 N N))
✓	78.2%	(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 N -1/2) (*.f64 N N)))
✓	100.0%	(-.f64 (.f64 -1 (.f64 N N)) (*.f64 (neg.f64 N) 1/2))
✓	99.9%	(.f64 (neg.f64 N) (.f64 N N))
✓	63.7%	(/.f64 (-.f64 (.f64 -1 (.f64 N N)) (.f64 (neg.f64 N) 1/2)) (.f64 (neg.f64 N) (*.f64 N N)))
✓	79.8%	(/.f64 (+.f64 N -1/2) (*.f64 N N))
✓	100.0%	(+.f64 1 (/.f64 -1/2 N))
✓	99.9%	(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
✓	99.8%	(/.f64 1/4 (pow.f64 N 4))
✓	99.4%	(/.f64 1/2 (*.f64 N N))
✓	99.2%	(/.f64 1/3 (pow.f64 N 3))
✓	66.0%	(-.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))))

Compiler

Compiled 198 to 114 computations (42.4% saved)

series7.0ms (0.1%)

Counts

13 → 120

Calls

39 calls:

Time	Variable		Point	Expression
1.0ms	N	@	0	(/.f64 1/3 (pow.f64 N 3))
0.0ms	N	@	0	(/.f64 1/4 (pow.f64 N 4))
0.0ms	N	@	0	(/.f64 (-.f64 (.f64 -1 (.f64 N N)) (.f64 (neg.f64 N) 1/2)) (.f64 (neg.f64 N) (*.f64 N N)))
0.0ms	N	@	-inf	(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
0.0ms	N	@	0	(-.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))))

rewrite101.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

822×	`add-sqr-sqrt`
798×	`pow1`
794×	`*-un-lft-identity`
776×	`add-exp-log`
776×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	293
1	839	285

Stop Event

1×	node limit

Counts

13 → 228

Calls

Call 1

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

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

simplify151.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1264×	`fma-neg`
774×	`associate-l`
772×	`associate-r`
652×	`exp-prod`
610×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	493	10800
1	1157	9316
2	5579	9308

Stop Event

1×	node limit

Counts

348 → 293

Calls

Call 1

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

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

eval161.0ms (2.6%)

Compiler: Compiled 7805 to 4990 computations (36.1% saved)

prune55.0ms (0.9%)

Pruning

15 alts after pruning (7 fresh and 8 done)

	Pruned	Kept	Total
New	313	5	318
Fresh	1	2	3
Picked	1	4	5
Done	0	4	4
Total	315	15	330

Accurracy

100.0%

Counts

330 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.7%	(/.f64 (/.f64 (-.f64 1 (/.f64 (/.f64 1/4 N) N)) (-.f64 1 (/.f64 -1/2 N))) N)
✓	28.7%	(/.f64 (+.f64 N -1/2) (*.f64 N N))
✓	48.7%	(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
▶	18.2%	(/.f64 (.f64 N (+.f64 (neg.f64 N) 1/2)) (.f64 (neg.f64 N) (*.f64 N N)))
▶	18.8%	(/.f64 (.f64 N (neg.f64 N)) (.f64 (neg.f64 N) (*.f64 N N)))
▶	48.7%	(/.f64 (cbrt.f64 (.f64 (+.f64 1 (/.f64 -1/2 N)) (.f64 (+.f64 1 (/.f64 -1/2 N)) (+.f64 1 (/.f64 -1/2 N))))) N)
✓	50.4%	(/.f64 1 N)
✓	48.8%	(-.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))))
	28.7%	(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 N -1/2) (*.f64 N N))) (/.f64 1/4 (pow.f64 N 4)))
✓	52.4%	(-.f64 N (log.f64 N))
✓	29.7%	(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 N -1/2) (*.f64 N N)))
▶	29.7%	(+.f64 (/.f64 1/3 (pow.f64 N 3)) (.f64 (+.f64 N -1/2) (/.f64 1 (.f64 N N))))
✓	51.2%	(neg.f64 (log.f64 N))
✓	55.6%	(log.f64 (/.f64 (+.f64 N 1) N))
	4.6%	N
▶	48.7%	(/.f64 (/.f64 (-.f64 1 (/.f64 (/.f64 1/4 N) N)) (-.f64 1 (/.f64 -1/2 N))) N)
✓	28.7%	(/.f64 (+.f64 N -1/2) (*.f64 N N))
✓	48.7%	(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
▶	18.2%	(/.f64 (.f64 N (+.f64 (neg.f64 N) 1/2)) (.f64 (neg.f64 N) (*.f64 N N)))
▶	18.8%	(/.f64 (.f64 N (neg.f64 N)) (.f64 (neg.f64 N) (*.f64 N N)))
▶	48.7%	(/.f64 (cbrt.f64 (.f64 (+.f64 1 (/.f64 -1/2 N)) (.f64 (+.f64 1 (/.f64 -1/2 N)) (+.f64 1 (/.f64 -1/2 N))))) N)
✓	50.4%	(/.f64 1 N)
✓	48.8%	(-.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))))
	28.7%	(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 N -1/2) (*.f64 N N))) (/.f64 1/4 (pow.f64 N 4)))
✓	52.4%	(-.f64 N (log.f64 N))
✓	29.7%	(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 N -1/2) (*.f64 N N)))
▶	29.7%	(+.f64 (/.f64 1/3 (pow.f64 N 3)) (.f64 (+.f64 N -1/2) (/.f64 1 (.f64 N N))))
✓	51.2%	(neg.f64 (log.f64 N))
✓	55.6%	(log.f64 (/.f64 (+.f64 N 1) N))
	4.6%	N

Compiler

Compiled 544 to 386 computations (29% saved)

localize217.0ms (3.5%)

Local Accuracy

Found 16 expressions with local accuracy:

New	Accuracy	Program
✓	99.4%	(/.f64 1 (*.f64 N N))
	99.2%	(/.f64 1/3 (pow.f64 N 3))
✓	80.5%	(.f64 (+.f64 N -1/2) (/.f64 1 (.f64 N N)))
✓	78.2%	(+.f64 (/.f64 1/3 (pow.f64 N 3)) (.f64 (+.f64 N -1/2) (/.f64 1 (.f64 N N))))
✓	99.9%	(/.f64 (/.f64 (-.f64 1 (/.f64 (/.f64 1/4 N) N)) (-.f64 1 (/.f64 -1/2 N))) N)
✓	99.8%	(/.f64 (/.f64 1/4 N) N)
✓	74.2%	(/.f64 (-.f64 1 (/.f64 (/.f64 1/4 N) N)) (-.f64 1 (/.f64 -1/2 N)))
✓	100.0%	(*.f64 N (+.f64 (neg.f64 N) 1/2))
	99.9%	(.f64 (neg.f64 N) (.f64 N N))
✓	63.7%	(/.f64 (.f64 N (+.f64 (neg.f64 N) 1/2)) (.f64 (neg.f64 N) (*.f64 N N)))
	99.9%	(.f64 (neg.f64 N) (.f64 N N))
✓	38.0%	(/.f64 (.f64 N (neg.f64 N)) (.f64 (neg.f64 N) (*.f64 N N)))
✓	99.9%	(.f64 (+.f64 1 (/.f64 -1/2 N)) (.f64 (+.f64 1 (/.f64 -1/2 N)) (+.f64 1 (/.f64 -1/2 N))))
✓	99.9%	(/.f64 (cbrt.f64 (.f64 (+.f64 1 (/.f64 -1/2 N)) (.f64 (+.f64 1 (/.f64 -1/2 N)) (+.f64 1 (/.f64 -1/2 N))))) N)
✓	99.8%	(*.f64 (+.f64 1 (/.f64 -1/2 N)) (+.f64 1 (/.f64 -1/2 N)))
✓	68.0%	(cbrt.f64 (.f64 (+.f64 1 (/.f64 -1/2 N)) (.f64 (+.f64 1 (/.f64 -1/2 N)) (+.f64 1 (/.f64 -1/2 N)))))

Compiler

Compiled 245 to 148 computations (39.6% saved)

series6.0ms (0.1%)

Counts

13 → 156

Calls

39 calls:

Time	Variable		Point	Expression
0.0ms	N	@	inf	(/.f64 (-.f64 1 (/.f64 (/.f64 1/4 N) N)) (-.f64 1 (/.f64 -1/2 N)))
0.0ms	N	@	0	(/.f64 (/.f64 (-.f64 1 (/.f64 (/.f64 1/4 N) N)) (-.f64 1 (/.f64 -1/2 N))) N)
0.0ms	N	@	0	(/.f64 (-.f64 1 (/.f64 (/.f64 1/4 N) N)) (-.f64 1 (/.f64 -1/2 N)))
0.0ms	N	@	inf	(/.f64 (/.f64 (-.f64 1 (/.f64 (/.f64 1/4 N) N)) (-.f64 1 (/.f64 -1/2 N))) N)
0.0ms	N	@	-inf	(/.f64 (-.f64 1 (/.f64 (/.f64 1/4 N) N)) (-.f64 1 (/.f64 -1/2 N)))

rewrite95.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

818×	`add-sqr-sqrt`
792×	`pow1`
790×	`*-un-lft-identity`
764×	`add-cube-cbrt`
762×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	309
1	861	295

Stop Event

1×	node limit

Counts

13 → 220

Calls

Call 1

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

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

simplify127.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1316×	`unswap-sqr`
702×	`exp-prod`
560×	`cube-prod`
470×	`log-prod`
446×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	516	8478
1	1126	7742
2	4176	7454

Stop Event

1×	node limit

Counts

376 → 315

Calls

Call 1

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

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

eval143.0ms (2.3%)

Compiler: Compiled 6286 to 4535 computations (27.9% saved)

prune61.0ms (1%)

Pruning

19 alts after pruning (8 fresh and 11 done)

	Pruned	Kept	Total
New	377	6	383
Fresh	0	2	2
Picked	2	3	5
Done	0	8	8
Total	379	19	398

Accurracy

100.0%

Counts

398 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	48.7%	(/.f64 (/.f64 (-.f64 1 (/.f64 (/.f64 1/4 N) N)) (-.f64 1 (/.f64 -1/2 N))) N)
	48.7%	(/.f64 (/.f64 (-.f64 1 (-.f64 (+.f64 1 (/.f64 (/.f64 1/4 N) N)) 1)) (-.f64 1 (/.f64 -1/2 N))) N)
	48.7%	(/.f64 (-.f64 1 (/.f64 1/4 (.f64 N N))) (.f64 N (+.f64 1 (/.f64 1/2 N))))
✓	28.7%	(/.f64 (+.f64 N -1/2) (*.f64 N N))
✓	48.7%	(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
	48.7%	(/.f64 (*.f64 (-.f64 1 (/.f64 (/.f64 1/4 N) N)) (/.f64 1 (-.f64 1 (/.f64 -1/2 N)))) N)
	18.2%	(/.f64 (.f64 N (-.f64 1/2 N)) (.f64 (neg.f64 N) (*.f64 N N)))
✓	18.8%	(/.f64 (.f64 N (neg.f64 N)) (.f64 (neg.f64 N) (*.f64 N N)))
	50.5%	(/.f64 (cbrt.f64 (*.f64 (+.f64 1 (/.f64 -1/2 N)) (-.f64 1 (/.f64 1 N)))) N)
✓	50.4%	(/.f64 1 N)
✓	48.8%	(-.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))))
	28.7%	(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 N -1/2) (*.f64 N N))) (/.f64 1/4 (pow.f64 N 4)))
✓	52.4%	(-.f64 N (log.f64 N))
✓	29.7%	(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 (+.f64 N -1/2) (*.f64 N N)))
✓	29.7%	(+.f64 (/.f64 1/3 (pow.f64 N 3)) (.f64 (+.f64 N -1/2) (/.f64 1 (.f64 N N))))
	30.2%	(.f64 (/.f64 N (neg.f64 N)) (/.f64 (neg.f64 N) (.f64 N N)))
✓	51.2%	(neg.f64 (log.f64 N))
✓	55.6%	(log.f64 (/.f64 (+.f64 N 1) N))
	4.6%	N

Compiler

Compiled 542 to 358 computations (33.9% saved)

regimes46.0ms (0.8%)

Counts

27 → 2

Calls

Call 1

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

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

Calls

2 calls:

24.0ms	N
11.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Results

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

Compiler

Compiled 320 to 199 computations (37.8% saved)

regimes280.0ms (4.6%)

Counts

26 → 2

Calls

Call 1

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

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

Calls

2 calls:

254.0ms	N
19.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Results

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

Compiler

Compiled 299 to 184 computations (38.5% saved)

regimes23.0ms (0.4%)

Counts

20 → 2

Calls

Call 1

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

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

Calls

1 calls:

18.0ms

Results

Accuracy	Segments	Branch
99.7%	2	`N`

Compiler

Compiled 215 to 125 computations (41.9% saved)

regimes26.0ms (0.4%)

Counts

18 → 2

Calls

Call 1

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

Outputs
(log.f64 (/.f64 (+.f64 N 1) N))
(/.f64 (-.f64 1 (/.f64 1/4 (.f64 N N))) (.f64 N (+.f64 1 (/.f64 1/2 N))))

Calls

1 calls:

22.0ms

Results

Accuracy	Segments	Branch
99.7%	2	`N`

Compiler

Compiled 186 to 104 computations (44.1% saved)

regimes20.0ms (0.3%)

Counts

16 → 2

Calls

Call 1

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

Outputs
(-.f64 N (log.f64 N))
(/.f64 (-.f64 1 (/.f64 1/4 (.f64 N N))) (.f64 N (+.f64 1 (/.f64 1/2 N))))

Calls

1 calls:

16.0ms

Results

Accuracy	Segments	Branch
98.7%	2	`N`

Compiler

Compiled 167 to 92 computations (44.9% saved)

regimes19.0ms (0.3%)

Counts

15 → 2

Calls

Call 1

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

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

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
98.4%	2	`N`

Compiler

Compiled 163 to 91 computations (44.2% saved)

regimes12.0ms (0.2%)

Counts

14 → 1

Calls

Call 1

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

Outputs
(/.f64 1 N)

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
50.4%	1	`N`

Compiler

Compiled 160 to 89 computations (44.4% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
N

Outputs
N

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
4.6%	1	`N`

Compiler

Compiled 4 to 2 computations (50% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.2597932570912462e-5	0.0634262114480868

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.2597932570912462e-5	0.0634262114480868

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch10.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	120825.64274182095	294416.24762474495

Results

8.0ms

80×

body

256

valid

Compiler

Compiled 132 to 104 computations (21.2% saved)

bsearch10.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	120825.64274182095	294416.24762474495

Results

8.0ms

80×

body

256

valid

Compiler

Compiled 137 to 104 computations (24.1% saved)

bsearch15.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.020351458746556833	15.2716375461257

Results

14.0ms

128×

body

256

valid

Compiler

Compiled 196 to 145 computations (26% saved)

bsearch16.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.020351458746556833	15.2716375461257

Results

14.0ms

128×

body

256

valid

Compiler

Compiled 188 to 145 computations (22.9% saved)

simplify16.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

64×	`unsub-neg`
50×	`neg-mul-1`
42×	`+-commutative`
28×	`sub-neg`
26×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	464
1	85	464
2	106	464
3	126	464
4	141	464
5	179	464
6	243	464
7	244	464

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 5902958103587057/295147905179352825856) (-.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)))) (log.f64 (/.f64 (+.f64 N 1) N)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 5902958103587057/295147905179352825856) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))) (log.f64 (/.f64 (+.f64 N 1) N)))
(if (<=.f64 N 210000) (log.f64 (/.f64 (+.f64 N 1) N)) (/.f64 (cbrt.f64 (*.f64 (+.f64 1 (/.f64 -1/2 N)) (-.f64 1 (/.f64 1 N)))) N))
(if (<=.f64 N 165000) (log.f64 (/.f64 (+.f64 N 1) N)) (/.f64 (-.f64 1 (/.f64 1/4 (.f64 N N))) (.f64 N (+.f64 1 (/.f64 1/2 N)))))
(if (<=.f64 N 8106479329266893/9007199254740992) (-.f64 N (log.f64 N)) (/.f64 (-.f64 1 (/.f64 1/4 (.f64 N N))) (.f64 N (+.f64 1 (/.f64 1/2 N)))))
(if (<=.f64 N 6124895493223875/9007199254740992) (neg.f64 (log.f64 N)) (/.f64 (-.f64 1 (/.f64 1/4 (.f64 N N))) (.f64 N (+.f64 1 (/.f64 1/2 N)))))
(/.f64 1 N)
N

Outputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 5902958103587057/295147905179352825856) (-.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)))) (log.f64 (/.f64 (+.f64 N 1) N)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 5902958103587057/295147905179352825856) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))) (log.f64 (/.f64 (+.f64 N 1) N)))
(if (<=.f64 N 210000) (log.f64 (/.f64 (+.f64 N 1) N)) (/.f64 (cbrt.f64 (*.f64 (+.f64 1 (/.f64 -1/2 N)) (-.f64 1 (/.f64 1 N)))) N))
(if (<=.f64 N 210000) (log.f64 (/.f64 (+.f64 N 1) N)) (/.f64 (cbrt.f64 (*.f64 (+.f64 1 (/.f64 -1/2 N)) (+.f64 1 (/.f64 -1 N)))) N))
(if (<=.f64 N 165000) (log.f64 (/.f64 (+.f64 N 1) N)) (/.f64 (-.f64 1 (/.f64 1/4 (.f64 N N))) (.f64 N (+.f64 1 (/.f64 1/2 N)))))
(if (<=.f64 N 8106479329266893/9007199254740992) (-.f64 N (log.f64 N)) (/.f64 (-.f64 1 (/.f64 1/4 (.f64 N N))) (.f64 N (+.f64 1 (/.f64 1/2 N)))))
(if (<=.f64 N 6124895493223875/9007199254740992) (neg.f64 (log.f64 N)) (/.f64 (-.f64 1 (/.f64 1/4 (.f64 N N))) (.f64 N (+.f64 1 (/.f64 1/2 N)))))
(/.f64 1 N)
N

Compiler

Compiled 174 to 129 computations (25.9% saved)

soundness1.4s (23.6%)

Rules

1682×	`div-sub`
1682×	`div-sub`
1682×	`div-sub`
1682×	`div-sub`
1682×	`div-sub`

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	126	1407
1	336	1319
2	1101	1313
3	5446	1309
0	7	15
1	144	15
2	1887	15
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	126	1407
1	336	1319
2	1101	1313
3	5446	1309
0	15	73
1	341	71
2	5142	71
0	34	293
1	839	285
0	493	10800
1	1157	9316
2	5579	9308
0	36	309
1	861	295
0	516	8478
1	1126	7742
2	4176	7454
0	34	293
1	839	285
0	493	10800
1	1157	9316
2	5579	9308
0	126	1407
1	336	1319
2	1101	1313
3	5446	1309

Stop Event

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

Compiler

Compiled 936 to 723 computations (22.8% saved)

end0.0ms (0%)

preprocess102.0ms (1.7%)

Compiler: Compiled 350 to 242 computations (30.9% 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%)

sample1.6s (25.7%)

preprocess296.0ms (4.8%)

simplify9.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize43.0ms (0.7%)

series1.0ms (0%)

rewrite53.0ms (0.9%)

simplify88.0ms (1.4%)

eval21.0ms (0.3%)

prune18.0ms (0.3%)

localize126.0ms (2.1%)

series11.0ms (0.2%)

rewrite117.0ms (1.9%)

simplify172.0ms (2.8%)

eval174.0ms (2.8%)

prune78.0ms (1.3%)

localize173.0ms (2.8%)

series7.0ms (0.1%)

rewrite101.0ms (1.6%)

simplify151.0ms (2.5%)

eval161.0ms (2.6%)

prune55.0ms (0.9%)

localize217.0ms (3.5%)

series6.0ms (0.1%)

rewrite95.0ms (1.6%)

simplify127.0ms (2.1%)

eval143.0ms (2.3%)

prune61.0ms (1%)

regimes46.0ms (0.8%)

regimes280.0ms (4.6%)

regimes23.0ms (0.4%)

regimes26.0ms (0.4%)

regimes20.0ms (0.3%)

regimes19.0ms (0.3%)

regimes12.0ms (0.2%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch10.0ms (0.2%)

bsearch10.0ms (0.2%)

bsearch15.0ms (0.3%)

bsearch16.0ms (0.3%)

simplify16.0ms (0.3%)

soundness1.4s (23.6%)

end0.0ms (0%)

preprocess102.0ms (1.7%)

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