Details

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)

sample1.8s (26.9%)

Results

696.0ms	4923×	body	256	valid
633.0ms	2051×	body	1024	valid
265.0ms	1010×	body	512	valid
174.0ms	272×	body	2048	valid
0.0ms	4×	body	256	invalid

Bogosity

preprocess21.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (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	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify46.0ms (0.7%)

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

49.6%

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.6%	(-.f64 (log1p.f64 N) (log.f64 N))
▶	49.6%	(-.f64 (log1p.f64 N) (log.f64 N))

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize54.0ms (0.8%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	49.6%	(-.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))

rewrite90.0ms (1.4%)

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)))

simplify64.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

47 → 71

Calls

Call 1

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

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

eval16.0ms (0.2%)

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

prune47.0ms (0.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	63	8	71
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	63	9	72

Accurracy

100.0%

Counts

72 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.2%	(/.f64 1 N)
▶	54.7%	(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
	54.8%	(-.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))))
✓	49.6%	(-.f64 (log1p.f64 N) (log.f64 N))
▶	47.0%	(-.f64 N (log.f64 N))
▶	55.6%	(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
▶	3.6%	(+.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)))
	46.0%	(neg.f64 (log.f64 N))
	49.7%	(log.f64 (/.f64 (+.f64 N 1) N))
▶	56.2%	(/.f64 1 N)
▶	54.7%	(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
	54.8%	(-.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))))
✓	49.6%	(-.f64 (log1p.f64 N) (log.f64 N))
▶	47.0%	(-.f64 N (log.f64 N))
▶	55.6%	(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
▶	3.6%	(+.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)))
	46.0%	(neg.f64 (log.f64 N))
	49.7%	(log.f64 (/.f64 (+.f64 N 1) N))

Compiler

Compiled 352 to 240 computations (31.8% saved)

localize238.0ms (3.6%)

Local Accuracy

Found 9 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(sqrt.f64 (log.f64 N))
	49.6%	(-.f64 (log1p.f64 N) (log.f64 N))
✓	46.7%	(fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))
✓	100.0%	(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
✓	99.6%	(/.f64 1/3 (pow.f64 N 3))
✓	99.0%	(/.f64 1/2 (*.f64 N N))
✓	82.5%	(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
✓	100.0%	(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
✓	99.8%	(/.f64 (/.f64 1/2 N) N)

Compiler

Compiled 138 to 69 computations (50% saved)

series76.0ms (1.1%)

Counts

8 → 80

Calls

24 calls:

Time	Variable		Point	Expression
35.0ms	N	@	0	(fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))
30.0ms	N	@	-inf	(fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))
6.0ms	N	@	inf	(fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))
1.0ms	N	@	0	(/.f64 (/.f64 1/2 N) N)
0.0ms	N	@	-inf	(/.f64 1/3 (pow.f64 N 3))

rewrite132.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

764×	`expm1-udef`
506×	`add-sqr-sqrt`
484×	`pow1`
482×	`*-un-lft-identity`
474×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	174
1	535	138
2	7982	138

Stop Event

1×	node limit

Counts

8 → 351

Calls

Call 1

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

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

simplify103.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1186×	`times-frac`
1182×	`fma-def`
996×	`associate-r`
974×	`associate-/r*`
926×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	753	7007
1	2111	7007

Stop Event

1×	node limit

Counts

431 → 323

Calls

Call 1

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

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

eval131.0ms (2%)

Compiler: Compiled 8685 to 4641 computations (46.6% saved)

prune304.0ms (4.6%)

Pruning

16 alts after pruning (10 fresh and 6 done)

	Pruned	Kept	Total
New	425	7	432
Fresh	0	3	3
Picked	0	5	5
Done	0	1	1
Total	425	16	441

Accurracy

100.0%

Counts

441 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	17.2%	(/.f64 (-.f64 (.f64 N (.f64 N 2)) N) (.f64 N (.f64 N (*.f64 N 2))))
	2.8%	(/.f64 (+.f64 N (.f64 (.f64 -1/2 N) N)) (*.f64 N N))
▶	3.7%	(/.f64 (+.f64 1 (*.f64 -1/2 N)) N)
▶	2.8%	(/.f64 1 (/.f64 (.f64 N N) (+.f64 N (.f64 (*.f64 -1/2 N) N))))
✓	56.2%	(/.f64 1 N)
✓	54.7%	(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
▶	54.8%	(-.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))))
✓	49.6%	(-.f64 (log1p.f64 N) (log.f64 N))
✓	47.0%	(-.f64 N (log.f64 N))
	3.6%	(+.f64 (/.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))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))
▶	3.6%	(+.f64 (/.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))))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))
	3.6%	(+.f64 (/.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)))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))
✓	55.6%	(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
✓	3.6%	(+.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)))
▶	46.0%	(neg.f64 (log.f64 N))
	49.7%	(log.f64 (/.f64 (+.f64 N 1) N))
	17.2%	(/.f64 (-.f64 (.f64 N (.f64 N 2)) N) (.f64 N (.f64 N (*.f64 N 2))))
	2.8%	(/.f64 (+.f64 N (.f64 (.f64 -1/2 N) N)) (*.f64 N N))
▶	3.7%	(/.f64 (+.f64 1 (*.f64 -1/2 N)) N)
▶	2.8%	(/.f64 1 (/.f64 (.f64 N N) (+.f64 N (.f64 (*.f64 -1/2 N) N))))
✓	56.2%	(/.f64 1 N)
✓	54.7%	(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
▶	54.8%	(-.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))))
✓	49.6%	(-.f64 (log1p.f64 N) (log.f64 N))
✓	47.0%	(-.f64 N (log.f64 N))
	3.6%	(+.f64 (/.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))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))
▶	3.6%	(+.f64 (/.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))))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))
	3.6%	(+.f64 (/.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)))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))
✓	55.6%	(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
✓	3.6%	(+.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)))
▶	46.0%	(neg.f64 (log.f64 N))
	49.7%	(log.f64 (/.f64 (+.f64 N 1) N))

Compiler

Compiled 872 to 522 computations (40.1% saved)

localize397.0ms (6%)

Local Accuracy

Found 12 expressions with local accuracy:

New	Accuracy	Program
✓	99.4%	(pow.f64 (log.f64 N) 3)
✓	99.4%	(pow.f64 (log1p.f64 N) 3)
✓	49.5%	(-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))
	46.7%	(fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))
✓	100.0%	(+.f64 N (.f64 (.f64 -1/2 N) N))
✓	100.0%	(/.f64 1 (/.f64 (.f64 N N) (+.f64 N (.f64 (*.f64 -1/2 N) N))))
✓	53.7%	(/.f64 (.f64 N N) (+.f64 N (.f64 (*.f64 -1/2 N) N)))
✓	100.0%	(/.f64 (+.f64 1 (*.f64 -1/2 N)) N)
✓	99.6%	(/.f64 1/4 (pow.f64 N 4))
	99.6%	(/.f64 1/3 (pow.f64 N 3))
✓	99.0%	(/.f64 1/2 (*.f64 N N))
✓	71.1%	(-.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))))

Compiler

Compiled 282 to 143 computations (49.3% saved)

series12.0ms (0.2%)

Counts

10 → 104

Calls

30 calls:

Time	Variable		Point	Expression
2.0ms	N	@	-inf	(-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))
2.0ms	N	@	-inf	(pow.f64 (log.f64 N) 3)
2.0ms	N	@	inf	(-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))
1.0ms	N	@	-inf	(pow.f64 (log1p.f64 N) 3)
1.0ms	N	@	0	(/.f64 1/4 (pow.f64 N 4))

rewrite84.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

770×	`add-sqr-sqrt`
752×	`pow1`
742×	`*-un-lft-identity`
734×	`add-exp-log`
734×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	242
1	793	212

Stop Event

1×	node limit

Counts

10 → 198

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

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

simplify175.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1330×	`fma-neg`
814×	`fma-def`
696×	`associate-+r+`
696×	`exp-prod`
548×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	680	11870
1	1791	11114
2	6271	10640

Stop Event

1×	node limit

Counts

302 → 348

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 N)
(-.f64 (/.f64 1 N) 1/2)
(-.f64 (/.f64 1 N) 1/2)
(-.f64 (/.f64 1 N) 1/2)
-1/2
(-.f64 (/.f64 1 N) 1/2)
(-.f64 (/.f64 1 N) 1/2)
(-.f64 (/.f64 1 N) 1/2)
-1/2
(-.f64 (/.f64 1 N) 1/2)
(-.f64 (/.f64 1 N) 1/2)
(-.f64 (/.f64 1 N) 1/2)
N
(+.f64 N (*.f64 1/2 (pow.f64 N 2)))
(+.f64 N (+.f64 (.f64 1/4 (pow.f64 N 3)) (.f64 1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (.f64 1/4 (pow.f64 N 3)) (+.f64 (.f64 1/2 (pow.f64 N 2)) (*.f64 1/8 (pow.f64 N 4)))))
-2
(neg.f64 (+.f64 2 (*.f64 4 (/.f64 1 N))))
(neg.f64 (+.f64 2 (+.f64 (.f64 8 (/.f64 1 (pow.f64 N 2))) (.f64 4 (/.f64 1 N)))))
(neg.f64 (+.f64 2 (+.f64 (.f64 8 (/.f64 1 (pow.f64 N 2))) (+.f64 (.f64 16 (/.f64 1 (pow.f64 N 3))) (*.f64 4 (/.f64 1 N))))))
-2
(neg.f64 (+.f64 2 (*.f64 4 (/.f64 1 N))))
(neg.f64 (+.f64 2 (+.f64 (.f64 8 (/.f64 1 (pow.f64 N 2))) (.f64 4 (/.f64 1 N)))))
(neg.f64 (+.f64 2 (+.f64 (.f64 8 (/.f64 1 (pow.f64 N 2))) (+.f64 (.f64 16 (/.f64 1 (pow.f64 N 3))) (*.f64 4 (/.f64 1 N))))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) 1/2)
(-.f64 (/.f64 1 N) 1/2)
(-.f64 (/.f64 1 N) 1/2)
-1/2
(-.f64 (/.f64 1 N) 1/2)
(-.f64 (/.f64 1 N) 1/2)
(-.f64 (/.f64 1 N) 1/2)
-1/2
(-.f64 (/.f64 1 N) 1/2)
(-.f64 (/.f64 1 N) 1/2)
(-.f64 (/.f64 1 N) 1/2)
N
(+.f64 N (*.f64 -1/2 (pow.f64 N 2)))
(+.f64 N (*.f64 -1/2 (pow.f64 N 2)))
(+.f64 N (*.f64 -1/2 (pow.f64 N 2)))
(*.f64 -1/2 (pow.f64 N 2))
(+.f64 N (*.f64 -1/2 (pow.f64 N 2)))
(+.f64 N (*.f64 -1/2 (pow.f64 N 2)))
(+.f64 N (*.f64 -1/2 (pow.f64 N 2)))
(*.f64 -1/2 (pow.f64 N 2))
(+.f64 N (*.f64 -1/2 (pow.f64 N 2)))
(+.f64 N (*.f64 -1/2 (pow.f64 N 2)))
(+.f64 N (*.f64 -1/2 (pow.f64 N 2)))
(*.f64 -1 (pow.f64 (log.f64 N) 3))
(+.f64 (*.f64 -1 (pow.f64 (log.f64 N) 3)) (pow.f64 N 3))
(+.f64 (.f64 -1 (pow.f64 (log.f64 N) 3)) (+.f64 (.f64 -3/2 (pow.f64 N 4)) (pow.f64 N 3)))
(+.f64 (.f64 7/4 (pow.f64 N 5)) (+.f64 (.f64 -1 (pow.f64 (log.f64 N) 3)) (+.f64 (*.f64 -3/2 (pow.f64 N 4)) (pow.f64 N 3))))
(/.f64 (+.f64 (*.f64 2 (pow.f64 (log.f64 (/.f64 1 N)) 2)) (pow.f64 (log.f64 (/.f64 1 N)) 2)) N)
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(.f64 (.f64 N N) (/.f64 1 (fma.f64 N (*.f64 N -1/2) N)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 N N) (fma.f64 N (.f64 N -1/2) N))) 2) (cbrt.f64 (/.f64 (.f64 N N) (fma.f64 N (*.f64 N -1/2) N))))
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(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 N)) 3) (pow.f64 (sqrt.f64 (log1p.f64 N)) 3))
(log.f64 (exp.f64 (pow.f64 (log1p.f64 N) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 N) 3))))
(cbrt.f64 (pow.f64 (log1p.f64 N) 9))
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 N) 3)))
(exp.f64 (*.f64 3 (log.f64 (log1p.f64 N))))
(exp.f64 (.f64 (.f64 3 (log.f64 (log1p.f64 N))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 N) 3)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 N) 3))) 1)
(*.f64 1 (pow.f64 (log.f64 N) 3))
(*.f64 (log.f64 N) (pow.f64 (log.f64 N) 2))
(*.f64 (pow.f64 (log.f64 N) 2) (log.f64 N))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 N) 3)) (sqrt.f64 (pow.f64 (log.f64 N) 3)))
(*.f64 (pow.f64 (log.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2) 3) (pow.f64 (cbrt.f64 (log.f64 N)) 3))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 N)) 3) (pow.f64 (sqrt.f64 (log.f64 N)) 3))
(log.f64 (exp.f64 (pow.f64 (log.f64 N) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 N) 3))))
(cbrt.f64 (pow.f64 (log.f64 N) 9))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 N) 3)))
(exp.f64 (*.f64 3 (log.f64 (log.f64 N))))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 N))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 N) 3)))

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

eval242.0ms (3.6%)

Compiler: Compiled 14831 to 8691 computations (41.4% saved)

prune68.0ms (1%)

Pruning

17 alts after pruning (7 fresh and 10 done)

	Pruned	Kept	Total
New	397	2	399
Fresh	0	5	5
Picked	1	4	5
Done	0	6	6
Total	398	17	415

Accurracy

100.0%

Counts

415 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	17.2%	(/.f64 (-.f64 (.f64 N (.f64 N 2)) N) (.f64 N (.f64 N (*.f64 N 2))))
▶	2.8%	(/.f64 (+.f64 N (.f64 (.f64 -1/2 N) N)) (*.f64 N N))
✓	2.8%	(/.f64 1 (/.f64 (.f64 N N) (+.f64 N (.f64 (*.f64 -1/2 N) N))))
✓	56.2%	(/.f64 1 N)
✓	54.7%	(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
▶	3.7%	(-.f64 (/.f64 1 N) 1/2)
✓	54.8%	(-.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))))
✓	49.6%	(-.f64 (log1p.f64 N) (log.f64 N))
✓	47.0%	(-.f64 N (log.f64 N))
	3.6%	(+.f64 (/.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))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))
✓	3.6%	(+.f64 (/.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))))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))
▶	3.6%	(+.f64 (/.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)))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))
✓	55.6%	(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
✓	3.6%	(+.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)))
✓	46.0%	(neg.f64 (log.f64 N))
▶	49.7%	(log.f64 (/.f64 (+.f64 N 1) N))
	1.9%	-1/2
▶	17.2%	(/.f64 (-.f64 (.f64 N (.f64 N 2)) N) (.f64 N (.f64 N (*.f64 N 2))))
▶	2.8%	(/.f64 (+.f64 N (.f64 (.f64 -1/2 N) N)) (*.f64 N N))
✓	2.8%	(/.f64 1 (/.f64 (.f64 N N) (+.f64 N (.f64 (*.f64 -1/2 N) N))))
✓	56.2%	(/.f64 1 N)
✓	54.7%	(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
▶	3.7%	(-.f64 (/.f64 1 N) 1/2)
✓	54.8%	(-.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))))
✓	49.6%	(-.f64 (log1p.f64 N) (log.f64 N))
✓	47.0%	(-.f64 N (log.f64 N))
	3.6%	(+.f64 (/.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))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))
✓	3.6%	(+.f64 (/.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))))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))
▶	3.6%	(+.f64 (/.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)))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))
✓	55.6%	(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
✓	3.6%	(+.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)))
✓	46.0%	(neg.f64 (log.f64 N))
▶	49.7%	(log.f64 (/.f64 (+.f64 N 1) N))
	1.9%	-1/2

Compiler

Compiled 718 to 428 computations (40.4% saved)

localize528.0ms (8%)

Local Accuracy

Found 11 expressions with local accuracy:

New	Accuracy	Program
	99.4%	(pow.f64 (log.f64 N) 3)
	99.4%	(pow.f64 (log1p.f64 N) 3)
	49.5%	(-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3))
	46.7%	(fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N))
✓	100.0%	(-.f64 (.f64 N (.f64 N 2)) N)
✓	99.9%	(.f64 N (.f64 N (*.f64 N 2)))
✓	56.6%	(/.f64 (-.f64 (.f64 N (.f64 N 2)) N) (.f64 N (.f64 N (*.f64 N 2))))
	100.0%	(+.f64 N (.f64 (.f64 -1/2 N) N))
✓	53.6%	(/.f64 (+.f64 N (.f64 (.f64 -1/2 N) N)) (*.f64 N N))
✓	100.0%	(-.f64 (/.f64 1 N) 1/2)
✓	49.7%	(log.f64 (/.f64 (+.f64 N 1) N))

Compiler

Compiled 263 to 123 computations (53.2% saved)

series3.0ms (0.1%)

Counts

6 → 63

Calls

18 calls:

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

rewrite121.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

896×	`expm1-udef`
530×	`add-sqr-sqrt`
512×	`pow1`
512×	`*-un-lft-identity`
492×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	142
1	524	124
2	7774	124

Stop Event

1×	node limit

Counts

6 → 198

Calls

Call 1

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

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

simplify117.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1334×	`log-prod`
762×	`exp-prod`
688×	`times-frac`
542×	`associate-r`
520×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	493	7567
1	1209	6103
2	5392	6099

Stop Event

1×	node limit

Counts

261 → 289

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

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

eval322.0ms (4.9%)

Compiler: Compiled 15628 to 8851 computations (43.4% saved)

prune113.0ms (1.7%)

Pruning

15 alts after pruning (4 fresh and 11 done)

	Pruned	Kept	Total
New	490	3	493
Fresh	1	1	2
Picked	1	4	5
Done	3	7	10
Total	495	15	510

Accurracy

100.0%

Counts

510 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	17.2%	(/.f64 (-.f64 (.f64 N (.f64 N 2)) N) (.f64 N (.f64 N (*.f64 N 2))))
✓	2.8%	(/.f64 (+.f64 N (.f64 (.f64 -1/2 N) N)) (*.f64 N N))
	17.8%	(/.f64 (.f64 2 (.f64 N N)) (.f64 N (.f64 N (*.f64 N 2))))
✓	2.8%	(/.f64 1 (/.f64 (.f64 N N) (+.f64 N (.f64 (*.f64 -1/2 N) N))))
✓	56.2%	(/.f64 1 N)
✓	54.7%	(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
✓	3.7%	(-.f64 (/.f64 1 N) 1/2)
✓	54.8%	(-.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))))
✓	47.0%	(-.f64 N (log.f64 N))
✓	55.6%	(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
	49.7%	(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
✓	46.0%	(neg.f64 (log.f64 N))
	49.7%	(log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1))
✓	49.7%	(log.f64 (/.f64 (+.f64 N 1) N))
	1.9%	-1/2

Compiler

Compiled 422 to 241 computations (42.9% saved)

regimes66.0ms (1%)

Counts

22 → 2

Calls

Call 1

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

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))))
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))

Calls

2 calls:

53.0ms	N
8.0ms	(-.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 283 to 143 computations (49.5% saved)

regimes29.0ms (0.4%)

Counts

17 → 2

Calls

Call 1

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

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

Calls

2 calls:

17.0ms	N
8.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Results

Accuracy	Segments	Branch
99.9%	2	`N`
99.9%	2	`(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))`

Compiler

Compiled 143 to 89 computations (37.8% saved)

regimes18.0ms (0.3%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
99.8%	2	`N`

Compiler

Compiled 108 to 67 computations (38% saved)

regimes19.0ms (0.3%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
99.8%	2	`N`

Compiler

Compiled 93 to 56 computations (39.8% saved)

regimes50.0ms (0.7%)

Counts

11 → 2

Calls

Call 1

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

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

Calls

1 calls:

47.0ms

Results

Accuracy	Segments	Branch
99.2%	2	`N`

Compiler

Compiled 87 to 52 computations (40.2% saved)

regimes15.0ms (0.2%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
99.0%	2	`N`

Compiler

Compiled 83 to 51 computations (38.6% saved)

regimes8.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

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

Outputs
(/.f64 1 N)

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
56.2%	1	`N`

Compiler

Compiled 80 to 49 computations (38.8% saved)

regimes6.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
-1/2

Outputs
-1/2

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
1.9%	1	`N`

Compiler

Compiled 4 to 3 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.188334049321952e-5	0.015001454317372875

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.188334049321952e-5	0.015001454317372875

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch16.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	299503.8925521558	345449554.68928814

Results

15.0ms

128×

body

256

valid

Compiler

Compiled 172 to 129 computations (25% saved)

bsearch12.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	19273.509551913514	299503.8925521558

Results

10.0ms

96×

body

256

valid

Compiler

Compiled 126 to 93 computations (26.2% saved)

bsearch22.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	3.4854652267309223e-6	2.9674649051118074

Results

20.0ms

144×

body

256

valid

Compiler

Compiled 165 to 117 computations (29.1% saved)

bsearch48.0ms (0.7%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
48.0ms	3.4854652267309223e-6	2.9674649051118074

Results

46.0ms

144×

body

256

valid

Compiler

Compiled 156 to 117 computations (25% saved)

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

36×	`+-commutative`
28×	`sub-neg`
18×	`neg-mul-1`
18×	`*-commutative`
18×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	406
1	75	406
2	97	406
3	116	406
4	127	406
5	132	406
6	133	406

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 7378697629483821/73786976294838206464) (-.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)))) (neg.f64 (log.f64 (/.f64 N (+.f64 N 1)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 7378697629483821/73786976294838206464) (+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))) (neg.f64 (log.f64 (/.f64 N (+.f64 N 1)))))
(if (<=.f64 N 300000) (neg.f64 (log.f64 (/.f64 N (+.f64 N 1)))) (-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)))
(if (<=.f64 N 195000) (log.f64 (/.f64 (+.f64 N 1) N)) (-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)))
(if (<=.f64 N 8106479329266893/9007199254740992) (-.f64 N (log.f64 N)) (-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)))
(if (<=.f64 N 6124895493223875/9007199254740992) (neg.f64 (log.f64 N)) (-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)))
(/.f64 1 N)
-1/2

Outputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 7378697629483821/73786976294838206464) (-.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)))) (neg.f64 (log.f64 (/.f64 N (+.f64 N 1)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 7378697629483821/73786976294838206464) (+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))) (neg.f64 (log.f64 (/.f64 N (+.f64 N 1)))))
(if (<=.f64 N 300000) (neg.f64 (log.f64 (/.f64 N (+.f64 N 1)))) (-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)))
(if (<=.f64 N 195000) (log.f64 (/.f64 (+.f64 N 1) N)) (-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)))
(if (<=.f64 N 8106479329266893/9007199254740992) (-.f64 N (log.f64 N)) (-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)))
(if (<=.f64 N 6124895493223875/9007199254740992) (neg.f64 (log.f64 N)) (-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N)))
(/.f64 1 N)
-1/2

Compiler

Compiled 154 to 113 computations (26.6% saved)

soundness896.0ms (13.5%)

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	23	142
1	524	124
2	7774	124
0	126	1407
1	336	1319
2	1101	1313
3	5446	1309
0	23	174
1	535	138
2	7982	138
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

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×	saturated

Compiler

Compiled 671 to 485 computations (27.7% saved)

end118.0ms (1.8%)

Compiler: Compiled 310 to 216 computations (30.3% 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
0	1	1

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
0	1	1

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

Details

analyze2.0ms (0%)

sample1.8s (26.9%)

preprocess21.0ms (0.3%)

simplify46.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

localize54.0ms (0.8%)

series1.0ms (0%)

rewrite90.0ms (1.4%)

simplify64.0ms (1%)

eval16.0ms (0.2%)

prune47.0ms (0.7%)

localize238.0ms (3.6%)

series76.0ms (1.1%)

rewrite132.0ms (2%)

simplify103.0ms (1.6%)

eval131.0ms (2%)

prune304.0ms (4.6%)

localize397.0ms (6%)

series12.0ms (0.2%)

rewrite84.0ms (1.3%)

simplify175.0ms (2.6%)

eval242.0ms (3.6%)

prune68.0ms (1%)

localize528.0ms (8%)

series3.0ms (0.1%)

rewrite121.0ms (1.8%)

simplify117.0ms (1.8%)

eval322.0ms (4.9%)

prune113.0ms (1.7%)

regimes66.0ms (1%)

regimes29.0ms (0.4%)

regimes18.0ms (0.3%)

regimes19.0ms (0.3%)

regimes50.0ms (0.7%)

regimes15.0ms (0.2%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch16.0ms (0.2%)

bsearch12.0ms (0.2%)

bsearch22.0ms (0.3%)

bsearch48.0ms (0.7%)

simplify14.0ms (0.2%)

soundness896.0ms (13.5%)

end118.0ms (1.8%)

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
0	1	1

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