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 (32.9%)

Results

646.0ms	4874×	body	256	valid
549.0ms	2069×	body	1024	valid
194.0ms	1073×	body	512	valid
101.0ms	240×	body	2048	valid
1.0ms	8×	body	256	invalid

Bogosity

preprocess344.0ms (7.5%)

Algorithm

1×	egg-herbie

Rules

2592×	`fma-def`
986×	`distribute-rgt-in`
958×	`distribute-lft-in`
834×	`fma-neg`
770×	`associate-+r+`

Problems

132×	`(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))`
122×	`(log.f64 (+.f64 N 1))`
2×	No Errors

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	17	128
1	30	104
2	62	100
3	122	100
4	269	100
5	522	100
6	792	96
7	1278	96
8	2025	96
9	3441	96
10	4114	96
11	4142	96
12	4166	96
13	4166	96
14	6244	96
15	6681	96
16	7033	96
17	7033	96
18	7440	96
19	7987	96

Stop Event

1×	node limit

Calls

Call 1

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

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

Compiler

Compiled 28 to 19 computations (32.1% saved)

eval0.0ms (0%)

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

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.1%	(-.f64 (log1p.f64 N) (log.f64 N))
▶	52.1%	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
▶	52.1%	(-.f64 (log1p.f64 N) (log.f64 N))
▶	52.1%	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Compiler

Compiled 28 to 20 computations (28.6% saved)

localize179.0ms (3.9%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	52.1%	(-.f64 (log1p.f64 N) (log.f64 N))
✓	56.0%	(log.f64 (+.f64 N 1))
✓	52.1%	(-.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))

rewrite128.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

862×	`prod-diff`
850×	`unpow-prod-down`
628×	`log1p-expm1-u`
628×	`expm1-log1p-u`
558×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	50
1	178	50
2	1756	50

Stop Event

1×	node limit

Counts

3 → 285

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

simplify133.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

862×	`log-prod`
694×	`times-frac`
570×	`cube-prod`
532×	`swap-sqr`
506×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	462	10918
1	1111	10460
2	4139	10250

Stop Event

1×	node limit

Counts

321 → 267

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

eval69.0ms (1.5%)

Compiler: Compiled 3913 to 1969 computations (49.7% saved)

prune42.0ms (0.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	261	6	267
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	263	6	269

Accuracy

99.9%

Counts

269 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.7%	(/.f64 1 N)
	51.8%	(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
▶	49.6%	(-.f64 N (log.f64 N))
▶	52.2%	(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
▶	48.4%	(neg.f64 (log.f64 N))
▶	52.2%	(log.f64 (/.f64 (+.f64 N 1) N))
▶	53.7%	(/.f64 1 N)
	51.8%	(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
▶	49.6%	(-.f64 N (log.f64 N))
▶	52.2%	(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
▶	48.4%	(neg.f64 (log.f64 N))
▶	52.2%	(log.f64 (/.f64 (+.f64 N 1) N))

Compiler

Compiled 152 to 112 computations (26.3% saved)

localize186.0ms (4.1%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 N (+.f64 N 1))
✓	52.2%	(log.f64 (/.f64 N (+.f64 N 1)))
✓	52.2%	(log.f64 (/.f64 (+.f64 N 1) N))
✓	100.0%	(-.f64 N (log.f64 N))

Compiler

Compiled 59 to 33 computations (44.1% saved)

series9.0ms (0.2%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	N	@	0	(-.f64 N (log.f64 N))
3.0ms	N	@	-inf	(-.f64 N (log.f64 N))
1.0ms	N	@	inf	(-.f64 N (log.f64 N))
0.0ms	N	@	inf	(log.f64 (/.f64 N (+.f64 N 1)))
0.0ms	N	@	-inf	(log.f64 (/.f64 (+.f64 N 1) N))

rewrite96.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

998×	`prod-diff`
955×	`log1p-expm1-u`
954×	`expm1-log1p-u`
680×	`fma-def`
324×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	82
1	187	78
2	2609	78

Stop Event

1×	node limit

Counts

4 → 198

Calls

Call 1

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

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

simplify128.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

892×	`fma-neg`
732×	`associate-+r+`
524×	`fma-def`
520×	`cancel-sign-sub-inv`
438×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	444	8582
1	1056	7729
2	3553	6438

Stop Event

1×	node limit

Counts

246 → 297

Calls

Call 1

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

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

eval75.0ms (1.6%)

Compiler: Compiled 3953 to 1942 computations (50.9% saved)

prune41.0ms (0.9%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	296	1	297
Fresh	0	1	1
Picked	0	5	5
Done	0	0	0
Total	296	7	303

Accuracy

99.9%

Counts

303 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.7%	(/.f64 1 N)
▶	51.8%	(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
✓	49.6%	(-.f64 N (log.f64 N))
✓	52.2%	(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
✓	48.4%	(neg.f64 (log.f64 N))
✓	52.2%	(log.f64 (/.f64 (+.f64 N 1) N))
	4.5%	N
✓	53.7%	(/.f64 1 N)
▶	51.8%	(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
✓	49.6%	(-.f64 N (log.f64 N))
✓	52.2%	(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
✓	48.4%	(neg.f64 (log.f64 N))
✓	52.2%	(log.f64 (/.f64 (+.f64 N 1) N))
	4.5%	N

Compiler

Compiled 80 to 58 computations (27.5% saved)

localize38.0ms (0.8%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
✓	99.4%	(/.f64 1/2 (pow.f64 N 2))

Compiler

Compiled 26 to 20 computations (23.1% saved)

series1.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite78.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1264×	`prod-diff`
693×	`log1p-expm1-u`
693×	`expm1-log1p-u`
618×	`log-prod`
566×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	47
1	141	47
2	2058	43

Stop Event

1×	node limit

Counts

2 → 170

Calls

Call 1

Inputs
(/.f64 1/2 (pow.f64 N 2))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))

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

simplify96.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

648×	`distribute-lft-in`
634×	`distribute-rgt-in`
624×	`associate-+r+`
488×	`associate-+l+`
400×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	359	8078
1	851	7608
2	2734	6291

Stop Event

1×	node limit

Counts

182 → 206

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

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

eval111.0ms (2.4%)

Compiler: Compiled 4036 to 3281 computations (18.7% saved)

prune28.0ms (0.6%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	205	1	206
Fresh	0	1	1
Picked	1	0	1
Done	0	5	5
Total	206	7	213

Accuracy

99.9%

Counts

213 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.7%	(/.f64 1 N)
✓	49.6%	(-.f64 N (log.f64 N))
▶	29.6%	(*.f64 (pow.f64 N -2) (+.f64 -1/2 N))
✓	52.2%	(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
✓	48.4%	(neg.f64 (log.f64 N))
✓	52.2%	(log.f64 (/.f64 (+.f64 N 1) N))
	4.5%	N
✓	53.7%	(/.f64 1 N)
✓	49.6%	(-.f64 N (log.f64 N))
▶	29.6%	(*.f64 (pow.f64 N -2) (+.f64 -1/2 N))
✓	52.2%	(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
✓	48.4%	(neg.f64 (log.f64 N))
✓	52.2%	(log.f64 (/.f64 (+.f64 N 1) N))
	4.5%	N

Compiler

Compiled 76 to 54 computations (28.9% saved)

localize29.0ms (0.6%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	77.8%	(*.f64 (pow.f64 N -2) (+.f64 -1/2 N))

Compiler

Compiled 18 to 13 computations (27.8% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite55.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

794×	`unpow-prod-down`
526×	`log1p-expm1-u`
526×	`expm1-log1p-u`
516×	`prod-exp`
510×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	113	25
2	1501	25

Stop Event

1×	node limit

Counts

1 → 54

Calls

Call 1

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

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

simplify65.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

962×	`associate-r`
874×	`associate-l`
722×	`fma-def`
668×	`log-prod`
618×	`distribute-lft-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	160	2506
1	393	2178
2	970	2119
3	4784	2069

Stop Event

1×	node limit

Counts

66 → 96

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

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

eval40.0ms (0.9%)

Compiler: Compiled 1339 to 1023 computations (23.6% saved)

prune15.0ms (0.3%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	1	1
Picked	0	1	1
Done	0	5	5
Total	96	7	103

Accuracy

99.9%

Counts

103 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	53.7%	(/.f64 1 N)
✓	49.6%	(-.f64 N (log.f64 N))
✓	29.6%	(*.f64 (pow.f64 N -2) (+.f64 -1/2 N))
✓	52.2%	(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
✓	48.4%	(neg.f64 (log.f64 N))
✓	52.2%	(log.f64 (/.f64 (+.f64 N 1) N))
	4.5%	N

Compiler

Compiled 91 to 60 computations (34.1% saved)

regimes20.0ms (0.4%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

2 calls:

12.0ms	N
6.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Results

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

Compiler

Compiled 63 to 40 computations (36.5% saved)

regimes11.0ms (0.2%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
99.7%	2	`N`

Compiler

Compiled 34 to 21 computations (38.2% saved)

regimes11.0ms (0.2%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
99.7%	2	`N`

Compiler

Compiled 20 to 11 computations (45% saved)

regimes8.0ms (0.2%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
98.7%	2	`N`

Compiler

Compiled 14 to 7 computations (50% saved)

regimes8.0ms (0.2%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
98.3%	2	`N`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes4.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

Inputs
N
(/.f64 1 N)

Outputs
(/.f64 1 N)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
53.7%	1	`N`

Compiler

Compiled 7 to 4 computations (42.9% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
N

Outputs
N

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
4.5%	1	`N`

Compiler

Compiled 4 to 2 computations (50% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.038632539504761e-9	0.000712593358238145

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch15.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	247608561.6412425	3885658602.636177

Results

14.0ms

96×

body

256

valid

Compiler

Compiled 96 to 75 computations (21.9% saved)

bsearch21.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	1402.8249549059885	247608561.6412425

Results

19.0ms

144×

body

256

valid

Compiler

Compiled 129 to 99 computations (23.3% saved)

bsearch15.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	0.27558676708397956	1402.8249549059885

Results

14.0ms

128×

body

256

valid

Compiler

Compiled 100 to 73 computations (27% saved)

bsearch23.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	0.27558676708397956	1402.8249549059885

Results

22.0ms

128×

body

256

valid

Compiler

Compiled 92 to 73 computations (20.7% saved)

simplify146.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

16×	`+-commutative`
14×	`sub-neg`
8×	`neg-mul-1`
8×	`*-commutative`
8×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	274
1	53	274
2	64	274
3	70	274
4	73	274
5	74	274

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 3022314549036573/604462909807314587353088) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) (neg.f64 (log.f64 (/.f64 N (+.f64 N 1)))))
(if (<=.f64 N 250000000) (neg.f64 (log.f64 (/.f64 N (+.f64 N 1)))) (/.f64 1 N))
(if (<=.f64 N 95000000) (log.f64 (/.f64 (+.f64 N 1) N)) (/.f64 1 N))
(if (<=.f64 N 1) (-.f64 N (log.f64 N)) (/.f64 1 N))
(if (<=.f64 N 2476979795053773/4503599627370496) (neg.f64 (log.f64 N)) (/.f64 1 N))
(/.f64 1 N)
N

Outputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 3022314549036573/604462909807314587353088) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) (neg.f64 (log.f64 (/.f64 N (+.f64 N 1)))))
(if (<=.f64 N 250000000) (neg.f64 (log.f64 (/.f64 N (+.f64 N 1)))) (/.f64 1 N))
(if (<=.f64 N 95000000) (log.f64 (/.f64 (+.f64 N 1) N)) (/.f64 1 N))
(if (<=.f64 N 1) (-.f64 N (log.f64 N)) (/.f64 1 N))
(if (<=.f64 N 2476979795053773/4503599627370496) (neg.f64 (log.f64 N)) (/.f64 1 N))
(/.f64 1 N)
N

Compiler

Compiled 85 to 62 computations (27.1% saved)

soundness704.0ms (15.4%)

Rules

862×	`prod-diff`
862×	`log-prod`
862×	`log-prod`
862×	`prod-diff`
862×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	462	10918
1	1111	10460
2	4139	10250
0	13	50
1	178	50
2	1756	50
0	462	10918
1	1111	10460
2	4139	10250
0	462	10918
1	1111	10460
2	4139	10250
0	13	50
1	178	50
2	1756	50

Stop Event

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

Compiler

Compiled 99 to 70 computations (29.3% saved)

end0.0ms (0%)

preprocess84.0ms (1.8%)

Compiler: Compiled 174 to 120 computations (31% saved)

analyze2.0ms (0%)

sample1.5s (32.9%)

preprocess344.0ms (7.5%)

eval0.0ms (0%)

prune2.0ms (0%)

localize179.0ms (3.9%)

series2.0ms (0%)

rewrite128.0ms (2.8%)

simplify133.0ms (2.9%)

eval69.0ms (1.5%)

prune42.0ms (0.9%)

localize186.0ms (4.1%)

series9.0ms (0.2%)

rewrite96.0ms (2.1%)

simplify128.0ms (2.8%)

eval75.0ms (1.6%)

prune41.0ms (0.9%)

localize38.0ms (0.8%)

series1.0ms (0%)

rewrite78.0ms (1.7%)

simplify96.0ms (2.1%)

eval111.0ms (2.4%)

prune28.0ms (0.6%)

localize29.0ms (0.6%)

series1.0ms (0%)

rewrite55.0ms (1.2%)

simplify65.0ms (1.4%)

eval40.0ms (0.9%)

prune15.0ms (0.3%)

regimes20.0ms (0.4%)

regimes11.0ms (0.2%)

regimes11.0ms (0.2%)

regimes8.0ms (0.2%)

regimes8.0ms (0.2%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch0.0ms (0%)

bsearch15.0ms (0.3%)

bsearch21.0ms (0.5%)

bsearch15.0ms (0.3%)

bsearch23.0ms (0.5%)

simplify146.0ms (3.2%)

soundness704.0ms (15.4%)

end0.0ms (0%)

preprocess84.0ms (1.8%)

Profiling