Metrics for 2log (problem 3.3.6)

analyze2.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
50%	50%	50%	0%	0%	0%	0%	2
66.7%	50%	25%	0%	0%	25%	0%	3
80%	50%	12.5%	0%	0%	37.5%	0%	4
88.9%	50%	6.2%	0%	0%	43.7%	0%	5
94.1%	50%	3.1%	0%	0%	46.9%	0%	6
97%	50%	1.6%	0%	0%	48.4%	0%	7
98.5%	50%	0.8%	0%	0%	49.2%	0%	8
99.2%	50%	0.4%	0%	0%	49.6%	0%	9
99.6%	50%	0.2%	0%	0%	49.8%	0%	10
99.8%	50%	0.1%	0%	0%	49.9%	0%	11
99.9%	50%	0%	0%	0%	49.9%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample1.5s (22%)

Results

632.0ms	4912×	body	256	valid
597.0ms	2074×	body	1024	valid
215.0ms	1034×	body	512	valid
94.0ms	236×	body	2048	valid
1.0ms	12×	body	256	invalid

Bogosity

preprocess274.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	14	50
1	25	38
2	43	38
3	77	38
4	135	38
5	231	38
6	426	36
7	763	36
8	1521	36
9	3012	36
10	3795	36
11	3829	36
12	3853	36
13	3853	36
14	5993	36
15	6433	36
16	6785	36
17	6785	36
18	7176	36
19	7720	36
20	7890	36
21	7946	36

Stop Event

1×	node limit

Calls

Call 1

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify9.0ms (0.1%)

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)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Accurracy

53.8%

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.8%	(-.f64 (log1p.f64 N) (log.f64 N))
▶	53.8%	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
▶	53.8%	(-.f64 (log1p.f64 N) (log.f64 N))
▶	53.8%	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Compiler

Compiled 28 to 20 computations (28.6% saved)

localize179.0ms (2.5%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	53.8%	(-.f64 (log1p.f64 N) (log.f64 N))
✓	54.1%	(log.f64 (+.f64 N 1))
✓	53.8%	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Compiler

Compiled 30 to 15 computations (50% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	N	@	-inf	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
0.0ms	N	@	inf	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
0.0ms	N	@	0	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
0.0ms	N	@	-inf	(log.f64 (+.f64 N 1))
0.0ms	N	@	-inf	(-.f64 (log1p.f64 N) (log.f64 N))

rewrite68.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1952×	`pow1`
1808×	`add-exp-log`
1808×	`log1p-expm1-u`
1808×	`expm1-log1p-u`
194×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	35
1	240	35
2	2510	35

Stop Event

1×	node limit

Counts

3 → 93

Calls

Call 1

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

simplify97.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

674×	`fma-neg`
572×	`unswap-sqr`
530×	`log-prod`
498×	`associate-+l+`
480×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	193	3679
1	488	3439
2	1742	3391
3	7496	3391

Stop Event

1×	node limit

Counts

129 → 131

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

eval30.0ms (0.4%)

Compiler: Compiled 1760 to 952 computations (45.9% saved)

prune31.0ms (0.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	123	8	131
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	125	8	133

Accurracy

100.0%

Counts

133 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.8%	(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
▶	53.1%	(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
▶	52.0%	(/.f64 1 N)
	50.3%	(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
	51.2%	(-.f64 N (log.f64 N))
▶	51.1%	(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
▶	50.2%	(neg.f64 (log.f64 N))
▶	53.9%	(log.f64 (/.f64 (+.f64 N 1) N))
	52.8%	(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
▶	53.1%	(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
▶	52.0%	(/.f64 1 N)
	50.3%	(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
	51.2%	(-.f64 N (log.f64 N))
▶	51.1%	(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
▶	50.2%	(neg.f64 (log.f64 N))
▶	53.9%	(log.f64 (/.f64 (+.f64 N 1) N))

Compiler

Compiled 280 to 192 computations (31.4% saved)

localize220.0ms (3.1%)

Local Accuracy

Found 10 expressions with local accuracy:

New	Accuracy	Program
✓	99.5%	(pow.f64 (log1p.f64 N) 2)
✓	99.2%	(cbrt.f64 (log1p.f64 N))
✓	75.8%	(cbrt.f64 (pow.f64 (log1p.f64 N) 2))
✓	53.0%	(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
✓	100.0%	(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
✓	99.8%	(/.f64 1/3 (pow.f64 N 3))
✓	99.2%	(/.f64 1/2 (*.f64 N N))
✓	80.1%	(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
✓	100.0%	(/.f64 (+.f64 N 1) N)
✓	53.9%	(log.f64 (/.f64 (+.f64 N 1) N))

Compiler

Compiled 112 to 61 computations (45.5% saved)

series22.0ms (0.3%)

Counts

10 → 97

Calls

30 calls:

Time	Variable		Point	Expression
5.0ms	N	@	inf	(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
4.0ms	N	@	-inf	(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
3.0ms	N	@	0	(fma.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 2)) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
1.0ms	N	@	0	(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
1.0ms	N	@	inf	(cbrt.f64 (log1p.f64 N))

rewrite87.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

568×	`add-sqr-sqrt`
546×	`pow1`
542×	`*-un-lft-identity`
536×	`add-exp-log`
532×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	178
1	591	164

Stop Event

1×	node limit

Counts

10 → 329

Calls

Call 1

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

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

simplify190.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1586×	`fma-def`
764×	`times-frac`
542×	`associate-+r+`
494×	`*-commutative`
482×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1016	21638
1	2930	19714

Stop Event

1×	node limit

Counts

426 → 545

Calls

Call 1

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

Outputs
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (fma.f64 -1 (log.f64 N) (.f64 -1/2 (.f64 N N))))
(+.f64 N (-.f64 (.f64 -1/2 (.f64 N N)) (log.f64 N)))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (+.f64 (.f64 1/3 (pow.f64 N 3)) (*.f64 -1/2 (pow.f64 N 2)))))
(+.f64 N (fma.f64 -1 (log.f64 N) (fma.f64 1/3 (pow.f64 N 3) (.f64 -1/2 (.f64 N N)))))
(+.f64 (fma.f64 1/3 (pow.f64 N 3) (.f64 -1/2 (.f64 N N))) (-.f64 N (log.f64 N)))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (*.f64 N N)) (/.f64 1/4 (pow.f64 N 4)))))
(/.f64 1 N)
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
1
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
1
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.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 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.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 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.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 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.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 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.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 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.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 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.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 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.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 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.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 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.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 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N)))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(-.f64 (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3)))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1 N) (/.f64 -1/2 (*.f64 N N))))
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(-.f64 (.f64 (pow.f64 1 1/3) (.f64 (log.f64 (/.f64 1 N)) (cbrt.f64 -1))) (*.f64 -1 (log.f64 (/.f64 1 N))))
(+.f64 (*.f64 (neg.f64 (log.f64 N)) (cbrt.f64 -1)) (neg.f64 (log.f64 N)))
(*.f64 (neg.f64 (log.f64 N)) (+.f64 (cbrt.f64 -1) 1))
(-.f64 (+.f64 (.f64 1/3 (.f64 (/.f64 1 N) (.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 (log.f64 (/.f64 1 N)) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)))) (+.f64 (.f64 -2/3 (.f64 (/.f64 (cbrt.f64 -1) N) (pow.f64 (.f64 1 (pow.f64 (log.f64 (/.f64 1 N)) 8)) 1/9))) (.f64 (pow.f64 1 1/3) (.f64 (log.f64 (/.f64 1 N)) (cbrt.f64 -1))))) (.f64 -1 (log.f64 (/.f64 1 N))))
(+.f64 (fma.f64 1/3 (.f64 (/.f64 1 N) (.f64 (.f64 (pow.f64 (pow.f64 (neg.f64 (log.f64 N)) 4) 1/18) (pow.f64 (pow.f64 (neg.f64 (log.f64 N)) 4) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (fma.f64 -2/3 (.f64 (/.f64 (cbrt.f64 -1) N) (.f64 (pow.f64 (pow.f64 (neg.f64 (log.f64 N)) 8) 1/18) (pow.f64 (pow.f64 (neg.f64 (log.f64 N)) 8) 1/18))) (.f64 (neg.f64 (log.f64 N)) (cbrt.f64 -1)))) (neg.f64 (log.f64 N)))
(+.f64 (fma.f64 1/3 (/.f64 (.f64 (.f64 (pow.f64 (pow.f64 (neg.f64 (log.f64 N)) 4) 1/18) (pow.f64 (pow.f64 (neg.f64 (log.f64 N)) 4) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) N) (.f64 (.f64 -2/3 (/.f64 (cbrt.f64 -1) N)) (.f64 (pow.f64 (pow.f64 (neg.f64 (log.f64 N)) 8) 1/18) (pow.f64 (pow.f64 (neg.f64 (log.f64 N)) 8) 1/18)))) (.f64 (neg.f64 (log.f64 N)) (+.f64 (cbrt.f64 -1) 1)))
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(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 4)) 1/3) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 4))))
(.f64 (.f64 (cbrt.f64 (log1p.f64 N)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 N))))
(pow.f64 (cbrt.f64 (log1p.f64 N)) 2)
(pow.f64 (log1p.f64 N) 2/3)
(pow.f64 (cbrt.f64 (log1p.f64 N)) 2)
(pow.f64 (pow.f64 (log1p.f64 N) 2) 1/3)
(pow.f64 (cbrt.f64 (log1p.f64 N)) 2)
(pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) 1)
(pow.f64 (cbrt.f64 (log1p.f64 N)) 2)
(pow.f64 (cbrt.f64 (log1p.f64 N)) 2)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 2) 3)
(pow.f64 (cbrt.f64 (log1p.f64 N)) 2)
(sqrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 4)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)))
(pow.f64 (cbrt.f64 (log1p.f64 N)) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))))
(pow.f64 (cbrt.f64 (log1p.f64 N)) 2)
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)))
(pow.f64 (cbrt.f64 (log1p.f64 N)) 2)
(exp.f64 (log.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)))
(pow.f64 (cbrt.f64 (log1p.f64 N)) 2)
(exp.f64 (.f64 (.f64 2 (log.f64 (log1p.f64 N))) 1/3))
(pow.f64 (cbrt.f64 (log1p.f64 N)) 2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)) 1))
(pow.f64 (cbrt.f64 (log1p.f64 N)) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)))
(pow.f64 (cbrt.f64 (log1p.f64 N)) 2)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log1p.f64 N)))) 1)
(cbrt.f64 (log1p.f64 N))
(*.f64 1 (cbrt.f64 (log1p.f64 N)))
(cbrt.f64 (log1p.f64 N))
(*.f64 (cbrt.f64 (log1p.f64 N)) 1)
(cbrt.f64 (log1p.f64 N))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 2))
(cbrt.f64 (log1p.f64 N))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 2) (cbrt.f64 (cbrt.f64 (log1p.f64 N))))
(cbrt.f64 (log1p.f64 N))
(*.f64 (pow.f64 (log1p.f64 N) 1/6) (pow.f64 (log1p.f64 N) 1/6))
(cbrt.f64 (log1p.f64 N))
(*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 4)))) (fabs.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N)))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (log1p.f64 N)))
(cbrt.f64 (log1p.f64 N))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 N)) 1/3) (pow.f64 (sqrt.f64 (log1p.f64 N)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 N))) (cbrt.f64 (sqrt.f64 (log1p.f64 N))))
(pow.f64 (log1p.f64 N) 1/3)
(cbrt.f64 (log1p.f64 N))
(pow.f64 (pow.f64 (log1p.f64 N) 2) 1/6)
(pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) 1/2)
(cbrt.f64 (log1p.f64 N))
(pow.f64 (cbrt.f64 (log1p.f64 N)) 1)
(cbrt.f64 (log1p.f64 N))
(pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 3)
(cbrt.f64 (log1p.f64 N))
(pow.f64 (pow.f64 (log1p.f64 N) 1/6) 2)
(cbrt.f64 (log1p.f64 N))
(sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))
(cbrt.f64 (log1p.f64 N))
(fabs.f64 (cbrt.f64 (log1p.f64 N)))
(cbrt.f64 (log1p.f64 N))
(log.f64 (exp.f64 (cbrt.f64 (log1p.f64 N))))
(cbrt.f64 (log1p.f64 N))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log1p.f64 N)))))
(cbrt.f64 (log1p.f64 N))
(expm1.f64 (log1p.f64 (cbrt.f64 (log1p.f64 N))))
(cbrt.f64 (log1p.f64 N))
(exp.f64 (log.f64 (cbrt.f64 (log1p.f64 N))))
(cbrt.f64 (log1p.f64 N))
(exp.f64 (*.f64 (log.f64 (log1p.f64 N)) 1/3))
(cbrt.f64 (log1p.f64 N))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 N))) 1))
(cbrt.f64 (log1p.f64 N))
(log1p.f64 (expm1.f64 (cbrt.f64 (log1p.f64 N))))
(cbrt.f64 (log1p.f64 N))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 N) 2))) 1)
(pow.f64 (log1p.f64 N) 2)
(*.f64 1 (pow.f64 (log1p.f64 N) 2))
(pow.f64 (log1p.f64 N) 2)
(*.f64 (log1p.f64 N) (log1p.f64 N))
(pow.f64 (log1p.f64 N) 2)
(*.f64 (pow.f64 (log1p.f64 N) 2) 1)
(pow.f64 (log1p.f64 N) 2)
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (pow.f64 (log1p.f64 N) 4)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 4)) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (pow.f64 (log1p.f64 N) 4)))
(.f64 (sqrt.f64 (log1p.f64 N)) (.f64 (sqrt.f64 (log1p.f64 N)) (log1p.f64 N)))
(pow.f64 (log1p.f64 N) 2)
(.f64 (.f64 (log1p.f64 N) (sqrt.f64 (log1p.f64 N))) (sqrt.f64 (log1p.f64 N)))
(pow.f64 (log1p.f64 N) 2)
(.f64 (.f64 (log1p.f64 N) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)) (cbrt.f64 (log1p.f64 N)))
(pow.f64 (log1p.f64 N) 2)
(.f64 (.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 4)) 1) (pow.f64 (cbrt.f64 (log1p.f64 N)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (pow.f64 (log1p.f64 N) 4)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 4)) (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 4)))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 N))) 2) (.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 4)) (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 4)))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (log1p.f64 N) 4)) (cbrt.f64 (log1p.f64 N))) (cbrt.f64 (log1p.f64 N)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (pow.f64 (log1p.f64 N) 4)))
(sqrt.f64 (pow.f64 (log1p.f64 N) 4))
(log.f64 (exp.f64 (pow.f64 (log1p.f64 N) 2)))
(pow.f64 (log1p.f64 N) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 N) 2))))
(pow.f64 (log1p.f64 N) 2)
(cbrt.f64 (pow.f64 (pow.f64 (log1p.f64 N) 2) 3))
(pow.f64 (log1p.f64 N) 2)
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 N) 2)))
(pow.f64 (log1p.f64 N) 2)
(exp.f64 (*.f64 2 (log.f64 (log1p.f64 N))))
(pow.f64 (log1p.f64 N) 2)
(exp.f64 (.f64 (.f64 2 (log.f64 (log1p.f64 N))) 1))
(pow.f64 (log1p.f64 N) 2)
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 N) 2)))
(pow.f64 (log1p.f64 N) 2)

eval414.0ms (5.9%)

Compiler: Compiled 17366 to 12364 computations (28.8% saved)

prune116.0ms (1.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	542	3	545
Fresh	1	2	3
Picked	2	3	5
Done	0	0	0
Total	545	8	553

Accurracy

100.0%

Counts

553 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.3%	(fma.f64 (pow.f64 (log1p.f64 N) 2/3) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
✓	52.0%	(/.f64 1 N)
▶	50.3%	(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
▶	51.2%	(-.f64 N (log.f64 N))
✓	51.1%	(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
▶	53.9%	(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
✓	50.2%	(neg.f64 (log.f64 N))
▶	53.9%	(log.f64 (+.f64 1 (/.f64 1 N)))
▶	52.3%	(fma.f64 (pow.f64 (log1p.f64 N) 2/3) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
✓	52.0%	(/.f64 1 N)
▶	50.3%	(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
▶	51.2%	(-.f64 N (log.f64 N))
✓	51.1%	(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
▶	53.9%	(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
✓	50.2%	(neg.f64 (log.f64 N))
▶	53.9%	(log.f64 (+.f64 1 (/.f64 1 N)))

Compiler

Compiled 216 to 156 computations (27.8% saved)

localize335.0ms (4.8%)

Local Accuracy

Found 8 expressions with local accuracy:

New	Accuracy	Program
	99.2%	(cbrt.f64 (log1p.f64 N))
✓	94.4%	(pow.f64 (log1p.f64 N) 2/3)
✓	53.7%	(fma.f64 (pow.f64 (log1p.f64 N) 2/3) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
✓	53.9%	(log.f64 (+.f64 1 (/.f64 1 N)))
✓	100.0%	(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
	99.2%	(/.f64 1/2 (*.f64 N N))
✓	100.0%	(/.f64 N (+.f64 N 1))
✓	53.9%	(log.f64 (/.f64 N (+.f64 N 1)))

Compiler

Compiled 98 to 52 computations (46.9% saved)

series21.0ms (0.3%)

Counts

6 → 69

Calls

18 calls:

Time	Variable		Point	Expression
9.0ms	N	@	-inf	(fma.f64 (pow.f64 (log1p.f64 N) 2/3) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
5.0ms	N	@	inf	(fma.f64 (pow.f64 (log1p.f64 N) 2/3) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
2.0ms	N	@	0	(log.f64 (/.f64 N (+.f64 N 1)))
1.0ms	N	@	inf	(log.f64 (/.f64 N (+.f64 N 1)))
1.0ms	N	@	0	(fma.f64 (pow.f64 (log1p.f64 N) 2/3) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))

rewrite123.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1652×	`fma-def`
682×	`expm1-udef`
678×	`log1p-udef`
482×	`add-sqr-sqrt`
464×	`pow1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	102
1	494	82
2	6814	78

Stop Event

1×	node limit

Counts

6 → 341

Calls

Call 1

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

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

simplify212.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1340×	`fma-def`
932×	`associate-r`
812×	`associate-l`
562×	`associate-+r+`
532×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	962	8589956378
1	2721	19382

Stop Event

1×	node limit

Counts

410 → 579

Calls

Call 1

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

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

eval545.0ms (7.7%)

Compiler: Compiled 19540 to 13681 computations (30% saved)

prune107.0ms (1.5%)

Pruning

13 alts after pruning (5 fresh and 8 done)

	Pruned	Kept	Total
New	653	5	658
Fresh	0	0	0
Picked	0	5	5
Done	0	3	3
Total	653	13	666

Accurracy

100.0%

Counts

666 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.3%	(fma.f64 (pow.f64 (log1p.f64 N) 2/3) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
▶	25.2%	(/.f64 (/.f64 (.f64 N (-.f64 N 1/2)) N) (.f64 N N))
▶	17.3%	(/.f64 (-.f64 (.f64 (.f64 N N) 2) N) (.f64 N (.f64 (*.f64 N N) 2)))
▶	3.0%	(/.f64 (-.f64 N (.f64 N (.f64 N 1/2))) (*.f64 N N))
▶	3.8%	(/.f64 (-.f64 1 (*.f64 N 1/2)) N)
✓	52.0%	(/.f64 1 N)
✓	50.3%	(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
✓	51.2%	(-.f64 N (log.f64 N))
✓	51.1%	(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
▶	17.3%	(.f64 (/.f64 1 (pow.f64 N 3)) (.f64 N (+.f64 N -1/2)))
✓	53.9%	(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
✓	50.2%	(neg.f64 (log.f64 N))
✓	53.9%	(log.f64 (+.f64 1 (/.f64 1 N)))
✓	52.3%	(fma.f64 (pow.f64 (log1p.f64 N) 2/3) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
▶	25.2%	(/.f64 (/.f64 (.f64 N (-.f64 N 1/2)) N) (.f64 N N))
▶	17.3%	(/.f64 (-.f64 (.f64 (.f64 N N) 2) N) (.f64 N (.f64 (*.f64 N N) 2)))
▶	3.0%	(/.f64 (-.f64 N (.f64 N (.f64 N 1/2))) (*.f64 N N))
▶	3.8%	(/.f64 (-.f64 1 (*.f64 N 1/2)) N)
✓	52.0%	(/.f64 1 N)
✓	50.3%	(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
✓	51.2%	(-.f64 N (log.f64 N))
✓	51.1%	(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
▶	17.3%	(.f64 (/.f64 1 (pow.f64 N 3)) (.f64 N (+.f64 N -1/2)))
✓	53.9%	(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
✓	50.2%	(neg.f64 (log.f64 N))
✓	53.9%	(log.f64 (+.f64 1 (/.f64 1 N)))

Compiler

Compiled 372 to 248 computations (33.3% saved)

localize159.0ms (2.3%)

Local Accuracy

Found 13 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(*.f64 N (+.f64 N -1/2))
✓	99.8%	(/.f64 1 (pow.f64 N 3))
✓	60.3%	(.f64 (/.f64 1 (pow.f64 N 3)) (.f64 N (+.f64 N -1/2)))
✓	100.0%	(.f64 (.f64 N N) 2)
✓	100.0%	(-.f64 (.f64 (.f64 N N) 2) N)
✓	99.8%	(.f64 N (.f64 (*.f64 N N) 2))
✓	60.8%	(/.f64 (-.f64 (.f64 (.f64 N N) 2) N) (.f64 N (.f64 (*.f64 N N) 2)))
✓	100.0%	(-.f64 N (.f64 N (.f64 N 1/2)))
✓	52.0%	(/.f64 (-.f64 N (.f64 N (.f64 N 1/2))) (*.f64 N N))
✓	100.0%	(/.f64 (-.f64 1 (*.f64 N 1/2)) N)
✓	100.0%	(*.f64 N (-.f64 N 1/2))
✓	76.7%	(/.f64 (*.f64 N (-.f64 N 1/2)) N)
✓	76.6%	(/.f64 (/.f64 (.f64 N (-.f64 N 1/2)) N) (.f64 N N))

Compiler

Compiled 152 to 84 computations (44.7% saved)

series7.0ms (0.1%)

Counts

13 → 144

Calls

39 calls:

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

rewrite126.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

616×	`add-sqr-sqrt`
594×	`pow1`
592×	`*-un-lft-identity`
576×	`add-exp-log`
576×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	241
1	681	229

Stop Event

1×	node limit

Counts

13 → 436

Calls

Call 1

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

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

simplify169.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1156×	`fma-neg`
1116×	`associate-/l*`
832×	`associate-/r*`
616×	`associate-*r/`
576×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	806	13674
1	2125	11524
2	7953	11330

Stop Event

1×	node limit

Counts

580 → 480

Calls

Call 1

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

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

eval304.0ms (4.3%)

Compiler: Compiled 8451 to 5341 computations (36.8% saved)

prune76.0ms (1.1%)

Pruning

15 alts after pruning (7 fresh and 8 done)

	Pruned	Kept	Total
New	487	7	494
Fresh	0	0	0
Picked	4	1	5
Done	1	7	8
Total	492	15	507

Accurracy

100.0%

Counts

507 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.3%	(fma.f64 (pow.f64 (log1p.f64 N) 2/3) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
	26.9%	(/.f64 (-.f64 N 1/2) (*.f64 N N))
	50.3%	(/.f64 (-.f64 1 (/.f64 1 (*.f64 N 2))) N)
✓	3.8%	(/.f64 (-.f64 1 (*.f64 N 1/2)) N)
	18.0%	(/.f64 (.f64 N (.f64 N 2)) (.f64 N (.f64 (*.f64 N N) 2)))
	28.6%	(/.f64 N (*.f64 N N))
	25.7%	(/.f64 1 (/.f64 N (/.f64 (/.f64 (*.f64 N (+.f64 N -1/2)) N) N)))
✓	52.0%	(/.f64 1 N)
	3.8%	(-.f64 (/.f64 1 N) 1/2)
✓	51.2%	(-.f64 N (log.f64 N))
✓	51.1%	(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N))))
	3.0%	(.f64 (/.f64 1 (.f64 N (neg.f64 N))) (neg.f64 (+.f64 N (.f64 -1/2 (.f64 N N)))))
✓	53.9%	(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
✓	50.2%	(neg.f64 (log.f64 N))
✓	53.9%	(log.f64 (+.f64 1 (/.f64 1 N)))

Compiler

Compiled 359 to 218 computations (39.3% saved)

regimes40.0ms (0.6%)

Counts

25 → 2

Calls

Call 1

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

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

Calls

2 calls:

24.0ms	N
10.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Results

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

Compiler

Compiled 231 to 128 computations (44.6% saved)

regimes44.0ms (0.6%)

Counts

23 → 2

Calls

Call 1

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

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

Calls

2 calls:

21.0ms	N
10.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Results

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

Compiler

Compiled 208 to 120 computations (42.3% saved)

regimes23.0ms (0.3%)

Counts

19 → 2

Calls

Call 1

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

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

Calls

1 calls:

18.0ms

Results

Accuracy	Segments	Branch
99.9%	2	`N`

Compiler

Compiled 163 to 96 computations (41.1% saved)

regimes21.0ms (0.3%)

Counts

15 → 2

Calls

Call 1

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

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

Calls

1 calls:

17.0ms

Results

Accuracy	Segments	Branch
99.2%	2	`N`

Compiler

Compiled 133 to 74 computations (44.4% saved)

regimes20.0ms (0.3%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

1 calls:

17.0ms

Results

Accuracy	Segments	Branch
98.9%	2	`N`

Compiler

Compiled 129 to 73 computations (43.4% saved)

regimes11.0ms (0.2%)

Accuracy

Total -32.8b remaining (-106.9%)

Threshold costs -32.8b (-106.9%)

Counts

13 → 1

Calls

Call 1

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

Outputs
(/.f64 1 N)

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
52.0%	1	`N`

Compiler

Compiled 126 to 71 computations (43.7% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.211608632369689e-7	0.014389560449068028

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.211608632369689e-7	0.014389560449068028

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch18.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	68.99602515199902	3113703.9217433725

Results

16.0ms

128×

body

256

valid

Compiler

Compiled 164 to 129 computations (21.3% saved)

bsearch17.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	0.07790383924010985	7.10316720160609

Results

15.0ms

112×

body

256

valid

Compiler

Compiled 131 to 100 computations (23.7% saved)

bsearch16.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.07790383924010985	7.10316720160609

Results

14.0ms

112×

body

256

valid

Compiler

Compiled 124 to 100 computations (19.4% saved)

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

38×	`unsub-neg`
28×	`neg-mul-1`
26×	`+-commutative`
20×	`sub-neg`
12×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	4294967530
1	67	4294967530
2	82	4294967530
3	91	4294967530
4	99	4294967530
5	119	4294967530
6	155	4294967530

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4722366482869645/9444732965739290427392) (+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))) (fma.f64 (pow.f64 (log1p.f64 N) 2/3) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4722366482869645/9444732965739290427392) (+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))) (log.f64 (+.f64 1 (/.f64 1 N))))
(if (<=.f64 N 195000) (log.f64 (+.f64 1 (/.f64 1 N))) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(if (<=.f64 N 8106479329266893/9007199254740992) (-.f64 N (log.f64 N)) (/.f64 (-.f64 1 (/.f64 1 (*.f64 N 2))) N))
(if (<=.f64 N 5944751508129055/9007199254740992) (neg.f64 (log.f64 N)) (/.f64 (-.f64 1 (/.f64 1 (*.f64 N 2))) N))
(/.f64 1 N)

Outputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4722366482869645/9444732965739290427392) (+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))) (fma.f64 (pow.f64 (log1p.f64 N) 2/3) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 4722366482869645/9444732965739290427392) (+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (*.f64 N N)))) (log.f64 (+.f64 1 (/.f64 1 N))))
(if (<=.f64 N 195000) (log.f64 (+.f64 1 (/.f64 1 N))) (-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N))))
(if (<=.f64 N 8106479329266893/9007199254740992) (-.f64 N (log.f64 N)) (/.f64 (-.f64 1 (/.f64 1 (*.f64 N 2))) N))
(if (<=.f64 N 5944751508129055/9007199254740992) (neg.f64 (log.f64 N)) (/.f64 (-.f64 1 (/.f64 1 (*.f64 N 2))) N))
(/.f64 1 N)

Compiler

Compiled 128 to 95 computations (25.8% saved)

soundness1.3s (18%)

Rules

1952×	`pow1`
1952×	`pow1`
1808×	`add-exp-log`
1808×	`log1p-expm1-u`
1808×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	193	3679
1	488	3439
2	1742	3391
3	7496	3391
0	11	35
1	240	35
2	2510	35
0	27	178
1	591	164
0	193	3679
1	488	3439
2	1742	3391
3	7496	3391
0	193	3679
1	488	3439
2	1742	3391
3	7496	3391
0	23	102
1	494	82
2	6814	78
0	28	241
1	681	229
0	806	13674
1	2125	11524
2	7953	11330
0	193	3679
1	488	3439
2	1742	3391
3	7496	3391
0	11	35
1	240	35
2	2510	35

Stop Event

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

Compiler

Compiled 851 to 550 computations (35.4% saved)

end0.0ms (0%)

preprocess80.0ms (1.1%)

Compiler: Compiled 262 to 180 computations (31.3% 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

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

analyze2.0ms (0%)

sample1.5s (22%)

preprocess274.0ms (3.9%)

simplify9.0ms (0.1%)

eval0.0ms (0%)

prune2.0ms (0%)

localize179.0ms (2.5%)

series2.0ms (0%)

rewrite68.0ms (1%)

simplify97.0ms (1.4%)

eval30.0ms (0.4%)

prune31.0ms (0.4%)

localize220.0ms (3.1%)

series22.0ms (0.3%)

rewrite87.0ms (1.2%)

simplify190.0ms (2.7%)

eval414.0ms (5.9%)

prune116.0ms (1.6%)

localize335.0ms (4.8%)

series21.0ms (0.3%)

rewrite123.0ms (1.7%)

simplify212.0ms (3%)

eval545.0ms (7.7%)

prune107.0ms (1.5%)

localize159.0ms (2.3%)

series7.0ms (0.1%)

rewrite126.0ms (1.8%)

simplify169.0ms (2.4%)

eval304.0ms (4.3%)

prune76.0ms (1.1%)

regimes40.0ms (0.6%)

regimes44.0ms (0.6%)

regimes23.0ms (0.3%)

regimes21.0ms (0.3%)

regimes20.0ms (0.3%)

regimes11.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch18.0ms (0.2%)

bsearch17.0ms (0.2%)

bsearch16.0ms (0.2%)

simplify13.0ms (0.2%)

soundness1.3s (18%)

end0.0ms (0%)

preprocess80.0ms (1.1%)

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