Metrics for 2log (problem 3.3.6)

analyze0.0ms (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
100%	50%	0%	0%	0%	50%	0%	2

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample1.7s (22.1%)

Results

999.0ms	5909×	body	256	valid
389.0ms	1626×	body	512	valid
288.0ms	721×	body	1024	valid

Bogosity

preprocess372.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

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

Problems

135×	`(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))`
121×	`(log.f64 (+.f64 N 1))`

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 20 computations (28.6% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize60.0ms (0.8%)

Localize:

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 7 computations (41.7% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite114.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

788×	`prod-diff`
606×	`unpow-prod-down`
447×	`log1p-expm1-u`
447×	`expm1-log1p-u`
416×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	92	21
2	1194	21

Stop Event

1×	node limit

Counts

1 → 95

Calls

Call 1

Inputs
(-.f64 (log1p.f64 N) (log.f64 N))

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

simplify80.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1760×	`fma-def`
1352×	`div-sub`
548×	`unswap-sqr`
484×	`hypot-def`
444×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	228	3781
1	569	3613
2	1593	3601
3	6252	3601

Stop Event

1×	node limit

Counts

107 → 136

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

eval41.0ms (0.5%)

Compiler: Compiled 2000 to 803 computations (59.9% saved)

prune28.0ms (0.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	128	8	136
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	129	8	137

Accuracy

99.9%

Counts

137 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.3%	(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
	4.0%	(fma.f64 (sqrt.f64 (log.f64 N)) (neg.f64 (sqrt.f64 (log.f64 N))) (log1p.f64 N))
▶	53.8%	(/.f64 1 N)
	52.5%	(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
	49.2%	(-.f64 N (log.f64 N))
▶	53.4%	(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
▶	48.0%	(neg.f64 (log.f64 N))
▶	52.2%	(log.f64 (/.f64 (+.f64 N 1) N))
▶	51.3%	(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
	4.0%	(fma.f64 (sqrt.f64 (log.f64 N)) (neg.f64 (sqrt.f64 (log.f64 N))) (log1p.f64 N))
▶	53.8%	(/.f64 1 N)
	52.5%	(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
	49.2%	(-.f64 N (log.f64 N))
▶	53.4%	(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
▶	48.0%	(neg.f64 (log.f64 N))
▶	52.2%	(log.f64 (/.f64 (+.f64 N 1) N))

Compiler

Compiled 272 to 188 computations (30.9% saved)

localize221.0ms (2.9%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
✓	99.9%	(sqrt.f64 (log1p.f64 N))
✓	51.4%	(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
✓	100.0%	(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
✓	99.5%	(/.f64 -1/2 (pow.f64 N 2))
✓	99.3%	(/.f64 1/3 (pow.f64 N 3))
✓	82.9%	(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2)))
✓	100.0%	(/.f64 (+.f64 N 1) N)
✓	52.2%	(log.f64 (/.f64 (+.f64 N 1) N))

Compiler

Compiled 101 to 60 computations (40.6% saved)

series14.0ms (0.2%)

Counts

8 → 65

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	N	@	-inf	(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
2.0ms	N	@	0	(sqrt.f64 (log1p.f64 N))
2.0ms	N	@	inf	(sqrt.f64 (log1p.f64 N))
1.0ms	N	@	inf	(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
1.0ms	N	@	0	(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2)))

rewrite134.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

921×	`log1p-expm1-u`
520×	`log1p-udef`
518×	`expm1-udef`
246×	`associate-r`
170×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	194
1	392	180
2	5843	180

Stop Event

1×	node limit

Counts

8 → 283

Calls

Call 1

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

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

simplify308.0ms (4%)

Algorithm

1×	egg-herbie

Rules

1368×	`fma-neg`
972×	`fma-def`
784×	`log-prod`
712×	`associate-r`
690×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	744	16974
1	1963	15664
2	7244	15654

Stop Event

1×	node limit

Counts

348 → 422

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

eval245.0ms (3.2%)

Compiler: Compiled 11885 to 8834 computations (25.7% saved)

prune68.0ms (0.9%)

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	468	1	469
Fresh	0	3	3
Picked	0	5	5
Done	0	0	0
Total	468	9	477

Accuracy

99.9%

Counts

477 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.3%	(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
▶	4.0%	(fma.f64 (sqrt.f64 (log.f64 N)) (neg.f64 (sqrt.f64 (log.f64 N))) (log1p.f64 N))
✓	53.8%	(/.f64 1 N)
▶	52.5%	(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
▶	49.2%	(-.f64 N (log.f64 N))
✓	53.4%	(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
▶	52.2%	(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
✓	48.0%	(neg.f64 (log.f64 N))
✓	52.2%	(log.f64 (/.f64 (+.f64 N 1) N))
✓	51.3%	(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
▶	4.0%	(fma.f64 (sqrt.f64 (log.f64 N)) (neg.f64 (sqrt.f64 (log.f64 N))) (log1p.f64 N))
✓	53.8%	(/.f64 1 N)
▶	52.5%	(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
▶	49.2%	(-.f64 N (log.f64 N))
✓	53.4%	(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
▶	52.2%	(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
✓	48.0%	(neg.f64 (log.f64 N))
✓	52.2%	(log.f64 (/.f64 (+.f64 N 1) N))

Compiler

Compiled 152 to 106 computations (30.3% saved)

localize287.0ms (3.8%)

Localize:

Found 6 expressions with local error:

New	Accuracy	Program
✓	99.9%	(sqrt.f64 (log.f64 N))
✓	51.2%	(fma.f64 (sqrt.f64 (log.f64 N)) (neg.f64 (sqrt.f64 (log.f64 N))) (log1p.f64 N))
✓	100.0%	(pow.f64 N 2)
✓	100.0%	(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
✓	99.6%	(/.f64 1/2 (pow.f64 N 2))
✓	52.2%	(log.f64 (/.f64 N (+.f64 N 1)))

Compiler

Compiled 78 to 42 computations (46.2% saved)

series59.0ms (0.8%)

Counts

6 → 44

Calls

18 calls:

Time	Variable		Point	Expression
24.0ms	N	@	-inf	(sqrt.f64 (log.f64 N))
24.0ms	N	@	0	(sqrt.f64 (log.f64 N))
6.0ms	N	@	inf	(sqrt.f64 (log.f64 N))
1.0ms	N	@	0	(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
1.0ms	N	@	-inf	(fma.f64 (sqrt.f64 (log.f64 N)) (neg.f64 (sqrt.f64 (log.f64 N))) (log1p.f64 N))

rewrite138.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

861×	`log1p-expm1-u`
861×	`expm1-log1p-u`
424×	`log1p-udef`
422×	`expm1-udef`
188×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	132
1	311	105
2	4447	105

Stop Event

1×	node limit

Counts

6 → 191

Calls

Call 1

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

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

simplify133.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1466×	`fma-neg`
726×	`fma-def`
694×	`div-sub`
560×	`log-prod`
418×	`sub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	473	6429
1	1181	6071
2	4542	5835

Stop Event

1×	node limit

Counts

235 → 288

Calls

Call 1

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

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

eval107.0ms (1.4%)

Compiler: Compiled 4527 to 2624 computations (42% saved)

prune50.0ms (0.7%)

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	329	5	334
Fresh	0	0	0
Picked	2	2	4
Done	1	4	5
Total	332	11	343

Accuracy

99.9%

Counts

343 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	18.4%	(/.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N 3))
✓	53.8%	(/.f64 1 N)
▶	52.5%	(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
▶	3.8%	(-.f64 (/.f64 1 N) (/.f64 1/2 1))
✓	49.2%	(-.f64 N (log.f64 N))
✓	53.4%	(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
▶	52.0%	(neg.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 N (+.f64 N 1))) 2)) (log.f64 (cbrt.f64 (/.f64 N (+.f64 N 1))))))
✓	52.2%	(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
✓	48.0%	(neg.f64 (log.f64 N))
✓	52.2%	(log.f64 (/.f64 (+.f64 N 1) N))
	4.3%	0
▶	18.4%	(/.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N 3))
✓	53.8%	(/.f64 1 N)
▶	52.5%	(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
▶	3.8%	(-.f64 (/.f64 1 N) (/.f64 1/2 1))
✓	49.2%	(-.f64 N (log.f64 N))
✓	53.4%	(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
▶	52.0%	(neg.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 N (+.f64 N 1))) 2)) (log.f64 (cbrt.f64 (/.f64 N (+.f64 N 1))))))
✓	52.2%	(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
✓	48.0%	(neg.f64 (log.f64 N))
✓	52.2%	(log.f64 (/.f64 (+.f64 N 1) N))
	4.3%	0

Compiler

Compiled 186 to 142 computations (23.7% saved)

localize446.0ms (5.8%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
✓	100.0%	(*.f64 N (-.f64 N 1/2))
✓	59.2%	(/.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N 3))
✓	100.0%	(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
✓	99.5%	(/.f64 1/2 (*.f64 N N))
✓	99.5%	(cbrt.f64 (/.f64 N (+.f64 N 1)))
✓	99.5%	(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 N (+.f64 N 1))) 2)) (log.f64 (cbrt.f64 (/.f64 N (+.f64 N 1)))))
✓	52.3%	(log.f64 (pow.f64 (cbrt.f64 (/.f64 N (+.f64 N 1))) 2))
✓	52.2%	(log.f64 (cbrt.f64 (/.f64 N (+.f64 N 1))))

Compiler

Compiled 140 to 99 computations (29.3% saved)

series15.0ms (0.2%)

Counts

8 → 80

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	N	@	-inf	(log.f64 (cbrt.f64 (/.f64 N (+.f64 N 1))))
2.0ms	N	@	-inf	(log.f64 (pow.f64 (cbrt.f64 (/.f64 N (+.f64 N 1))) 2))
2.0ms	N	@	inf	(*.f64 N (-.f64 N 1/2))
1.0ms	N	@	-inf	(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 N (+.f64 N 1))) 2)) (log.f64 (cbrt.f64 (/.f64 N (+.f64 N 1)))))
1.0ms	N	@	inf	(cbrt.f64 (/.f64 N (+.f64 N 1)))

rewrite173.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

775×	`log1p-expm1-u`
592×	`log1p-udef`
588×	`expm1-udef`
248×	`associate-r`
178×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	203
1	403	189
2	5964	189

Stop Event

1×	node limit

Counts

8 → 347

Calls

Call 1

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

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

simplify140.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1294×	`times-frac`
1102×	`fma-def`
772×	`associate-r`
726×	`associate-l`
330×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	795	18943
1	2103	15647

Stop Event

1×	node limit

Counts

427 → 469

Calls

Call 1

Inputs
(/.f64 -1/3 N)
(-.f64 (.f64 1/6 (/.f64 1 (pow.f64 N 2))) (.f64 1/3 (/.f64 1 N)))
(-.f64 (.f64 1/6 (/.f64 1 (pow.f64 N 2))) (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 N 3))) (*.f64 1/3 (/.f64 1 N))))
(-.f64 (+.f64 (.f64 1/12 (/.f64 1 (pow.f64 N 4))) (.f64 1/6 (/.f64 1 (pow.f64 N 2)))) (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 N 3))) (.f64 1/3 (/.f64 1 N))))
(log.f64 (pow.f64 (cbrt.f64 -1) 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 2)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (/.f64 1 N))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 2)) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (/.f64 1 N))) (.f64 1/2 (/.f64 (+.f64 (.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3)) (.f64 2/3 (+.f64 1 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))) (pow.f64 N 2)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 2)) (+.f64 (.f64 -1/6 (/.f64 (-.f64 (+.f64 (.f64 -2 (-.f64 (.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (+.f64 1 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 1 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 14)) 1/3) (+.f64 1 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))) (.f64 2/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) (pow.f64 N 3))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (/.f64 1 N))) (.f64 1/2 (/.f64 (+.f64 (.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3)) (.f64 2/3 (+.f64 1 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))) (pow.f64 N 2))))))
(/.f64 -2/3 N)
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 2))) (.f64 2/3 (/.f64 1 N)))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 2))) (+.f64 (.f64 2/9 (/.f64 1 (pow.f64 N 3))) (*.f64 2/3 (/.f64 1 N))))
(-.f64 (+.f64 (.f64 1/6 (/.f64 1 (pow.f64 N 4))) (.f64 1/3 (/.f64 1 (pow.f64 N 2)))) (+.f64 (.f64 2/9 (/.f64 1 (pow.f64 N 3))) (.f64 2/3 (/.f64 1 N))))
(log.f64 (pow.f64 (cbrt.f64 -1) 4))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 4)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (/.f64 1 N))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 4)) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -4/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3)) (.f64 2 (/.f64 (+.f64 (.f64 -2/3 (.f64 (cbrt.f64 -1) (+.f64 1 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))) (.f64 1/9 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (pow.f64 (cbrt.f64 -1) 4)))) (pow.f64 N 2))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (/.f64 1 N)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 4)) (+.f64 (.f64 -1/6 (/.f64 (-.f64 (+.f64 (.f64 4 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 17)) 1/3) (+.f64 (.f64 -2/3 (.f64 (cbrt.f64 -1) (+.f64 1 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))) (.f64 1/9 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))))) (.f64 6 (/.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (+.f64 1 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))) (.f64 2/3 (.f64 (cbrt.f64 -1) (-.f64 (.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (+.f64 1 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 1 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))))))) (pow.f64 (cbrt.f64 -1) 4)))) (.f64 16/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) (pow.f64 N 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -4/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3)) (.f64 2 (/.f64 (+.f64 (.f64 -2/3 (.f64 (cbrt.f64 -1) (+.f64 1 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))) (.f64 1/9 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (pow.f64 (cbrt.f64 -1) 4)))) (pow.f64 N 2))) (.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (/.f64 1 N))))))
(/.f64 -1 N)
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
(-.f64 (.f64 1/2 (/.f64 1 (pow.f64 N 2))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))
(-.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 (log.f64 (pow.f64 (cbrt.f64 -1) 2)) (log.f64 (pow.f64 (cbrt.f64 -1) 4)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 2)) (+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 4)) (.f64 -1 (/.f64 (+.f64 (.f64 -2/3 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3)) (*.f64 -1/3 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3))) N))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 2)) (+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 4)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2/3 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3)) (.f64 -1/3 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3))) N)) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -4/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3)) (.f64 2 (/.f64 (+.f64 (.f64 -2/3 (.f64 (cbrt.f64 -1) (+.f64 1 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))) (.f64 1/9 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (pow.f64 (cbrt.f64 -1) 4)))) (pow.f64 N 2))) (.f64 1/2 (/.f64 (+.f64 (.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3)) (.f64 2/3 (+.f64 1 (*.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))) (pow.f64 N 2)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 2)) (+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 4)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2/3 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3)) (.f64 -1/3 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3))) N)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/6 (-.f64 (+.f64 (.f64 -2 (-.f64 (.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (+.f64 1 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 1 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 14)) 1/3) (+.f64 1 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))) (.f64 2/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))))) (.f64 1/6 (-.f64 (+.f64 (.f64 4 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 17)) 1/3) (+.f64 (.f64 -2/3 (.f64 (cbrt.f64 -1) (+.f64 1 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))) (.f64 1/9 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))))) (.f64 6 (/.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (+.f64 1 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))) (.f64 2/3 (.f64 (cbrt.f64 -1) (-.f64 (.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (+.f64 1 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 1 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))))))) (pow.f64 (cbrt.f64 -1) 4)))) (.f64 16/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))))) (pow.f64 N 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -4/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3)) (.f64 2 (/.f64 (+.f64 (.f64 -2/3 (.f64 (cbrt.f64 -1) (+.f64 1 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))) (.f64 1/9 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (pow.f64 (cbrt.f64 -1) 4)))) (pow.f64 N 2))) (.f64 1/2 (/.f64 (+.f64 (.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3)) (.f64 2/3 (+.f64 1 (*.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))) (pow.f64 N 2))))))))
1
(-.f64 1 (*.f64 1/3 (/.f64 1 N)))
(-.f64 (+.f64 1 (.f64 2/9 (/.f64 1 (pow.f64 N 2)))) (.f64 1/3 (/.f64 1 N)))
(-.f64 (+.f64 1 (.f64 2/9 (/.f64 1 (pow.f64 N 2)))) (+.f64 (.f64 14/81 (/.f64 1 (pow.f64 N 3))) (*.f64 1/3 (/.f64 1 N))))
(pow.f64 (cbrt.f64 -1) 2)
(+.f64 (.f64 1/3 (.f64 (pow.f64 (*.f64 1 (cbrt.f64 -1)) 1/3) (/.f64 1 N))) (pow.f64 (cbrt.f64 -1) 2))
(+.f64 (.f64 -1/3 (/.f64 (+.f64 1 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (.f64 (pow.f64 N 2) (cbrt.f64 -1)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (cbrt.f64 -1)) 1/3) (/.f64 1 N))) (pow.f64 (cbrt.f64 -1) 2)))
(+.f64 (.f64 -1/3 (/.f64 (+.f64 1 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (.f64 (pow.f64 N 2) (cbrt.f64 -1)))) (+.f64 (.f64 -1/3 (/.f64 (-.f64 (.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (+.f64 1 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 1 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))) (.f64 (pow.f64 N 3) (cbrt.f64 -1)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (cbrt.f64 -1)) 1/3) (/.f64 1 N))) (pow.f64 (cbrt.f64 -1) 2))))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 1/2 (pow.f64 N 2))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(*.f64 -1/2 N)
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(pow.f64 N 2)
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(pow.f64 N 2)
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(+.f64 (*.f64 -1/2 N) (pow.f64 N 2))
(+.f64 (.f64 1/3 (-.f64 (log.f64 N) (log1p.f64 N))) (fma.f64 (neg.f64 (.f64 1/3 (-.f64 (log.f64 N) (log1p.f64 N)))) 1 (*.f64 1/3 (-.f64 (log.f64 N) (log1p.f64 N)))))
(+.f64 (.f64 1/3 (-.f64 (log.f64 N) (log1p.f64 N))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 1/3 (-.f64 (log.f64 N) (log1p.f64 N))))) (pow.f64 (cbrt.f64 (.f64 1/3 (-.f64 (log.f64 N) (log1p.f64 N)))) 2) (.f64 1/3 (-.f64 (log.f64 N) (log1p.f64 N)))))
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(cbrt.f64 (/.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 3) (pow.f64 (pow.f64 N 3) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)))
(exp.f64 (log.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)))
(fma.f64 1 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2)))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (*.f64 -1/2 (pow.f64 N -2)))
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (*.f64 -1/2 (pow.f64 N -2)))
(+.f64 (pow.f64 N 2) (neg.f64 (*.f64 N 1/2)))
(+.f64 (pow.f64 N 2) (*.f64 N -1/2))
(+.f64 (pow.f64 N 2) (*.f64 (neg.f64 N) 1/2))
(+.f64 (pow.f64 N 2) (*.f64 -1/2 N))
(+.f64 (.f64 N (+.f64 N -1/2)) (fma.f64 -1/2 N (.f64 N 1/2)))
(-.f64 (pow.f64 N 2) (*.f64 N 1/2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 N (+.f64 N -1/2)))) 1)
(/.f64 (-.f64 (pow.f64 N 6) (pow.f64 (.f64 N 1/2) 3)) (+.f64 (pow.f64 N 4) (+.f64 (.f64 (.f64 N 1/2) (.f64 N 1/2)) (.f64 (pow.f64 N 2) (.f64 N 1/2)))))
(/.f64 (-.f64 (pow.f64 N 4) (.f64 (.f64 N 1/2) (.f64 N 1/2))) (+.f64 (pow.f64 N 2) (.f64 N 1/2)))
(/.f64 (.f64 N (+.f64 (pow.f64 N 3) -1/8)) (fma.f64 N N (+.f64 (.f64 N 1/2) 1/4)))
(/.f64 (*.f64 N (fma.f64 N N -1/4)) (+.f64 N 1/2))
(/.f64 (.f64 (+.f64 (pow.f64 N 3) -1/8) N) (fma.f64 N N (+.f64 (.f64 N 1/2) 1/4)))
(/.f64 (*.f64 (fma.f64 N N -1/4) N) (+.f64 N 1/2))
(pow.f64 (*.f64 N (+.f64 N -1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 N (+.f64 N -1/2))) 3)
(pow.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 N (+.f64 N -1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2))
(log.f64 (pow.f64 (exp.f64 N) (+.f64 N -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 N (+.f64 N -1/2)))))
(cbrt.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 3))
(cbrt.f64 (*.f64 (pow.f64 N 3) (pow.f64 (+.f64 N -1/2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 N -1/2) 3) (pow.f64 N 3)))
(expm1.f64 (log1p.f64 (*.f64 N (+.f64 N -1/2))))
(exp.f64 (log.f64 (*.f64 N (+.f64 N -1/2))))
(exp.f64 (.f64 (log.f64 (.f64 N (+.f64 N -1/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 N (+.f64 N -1/2))))
(fma.f64 N N (neg.f64 (*.f64 N 1/2)))
(fma.f64 1 (pow.f64 N 2) (neg.f64 (*.f64 N 1/2)))
(fma.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2) (neg.f64 (*.f64 N 1/2)))

Outputs
(/.f64 -1/3 N)
(-.f64 (.f64 1/6 (/.f64 1 (pow.f64 N 2))) (.f64 1/3 (/.f64 1 N)))
(-.f64 (/.f64 1/6 (pow.f64 N 2)) (/.f64 1/3 N))
(+.f64 (/.f64 1/6 (pow.f64 N 2)) (/.f64 -1/3 N))
(-.f64 (.f64 1/6 (/.f64 1 (pow.f64 N 2))) (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 N 3))) (*.f64 1/3 (/.f64 1 N))))
(-.f64 (/.f64 1/6 (pow.f64 N 2)) (+.f64 (/.f64 1/3 N) (/.f64 1/9 (pow.f64 N 3))))
(+.f64 (-.f64 (/.f64 1/6 (pow.f64 N 2)) (/.f64 1/9 (pow.f64 N 3))) (/.f64 -1/3 N))
(-.f64 (+.f64 (.f64 1/12 (/.f64 1 (pow.f64 N 4))) (.f64 1/6 (/.f64 1 (pow.f64 N 2)))) (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 N 3))) (.f64 1/3 (/.f64 1 N))))
(+.f64 (/.f64 1/12 (pow.f64 N 4)) (-.f64 (/.f64 1/6 (pow.f64 N 2)) (+.f64 (/.f64 1/3 N) (/.f64 1/9 (pow.f64 N 3)))))
(+.f64 (/.f64 1/6 (pow.f64 N 2)) (-.f64 (/.f64 1/12 (pow.f64 N 4)) (+.f64 (/.f64 1/3 N) (/.f64 1/9 (pow.f64 N 3)))))
(log.f64 (pow.f64 (cbrt.f64 -1) 2))
(*.f64 2 (log.f64 (cbrt.f64 -1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 2)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (/.f64 1 N))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 -1))) (.f64 1/3 (*.f64 (/.f64 1 N) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))))))
(fma.f64 2 (log.f64 (cbrt.f64 -1)) (*.f64 (/.f64 1/3 N) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 2)) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (/.f64 1 N))) (.f64 1/2 (/.f64 (+.f64 (.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3)) (.f64 2/3 (+.f64 1 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))) (pow.f64 N 2)))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 -1))) (fma.f64 1/3 (.f64 (/.f64 1 N) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) (.f64 1/2 (/.f64 (fma.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10))) (.f64 2/3 (+.f64 1 (*.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))))) (pow.f64 N 2)))))
(fma.f64 2 (log.f64 (cbrt.f64 -1)) (fma.f64 1/3 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) N) (/.f64 (.f64 1/2 (fma.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10))) (+.f64 2/3 (.f64 2/9 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))))) (pow.f64 N 2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 2)) (+.f64 (.f64 -1/6 (/.f64 (-.f64 (+.f64 (.f64 -2 (-.f64 (.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (+.f64 1 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 1 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 14)) 1/3) (+.f64 1 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))) (.f64 2/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) (pow.f64 N 3))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (/.f64 1 N))) (.f64 1/2 (/.f64 (+.f64 (.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3)) (.f64 2/3 (+.f64 1 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))) (pow.f64 N 2))))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 -1))) (fma.f64 -1/6 (/.f64 (-.f64 (fma.f64 -2 (-.f64 (/.f64 1/27 (pow.f64 (cbrt.f64 -1) 2)) (+.f64 1 (.f64 (.f64 2/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) (+.f64 1 (.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))))))) (.f64 -2/3 (.f64 (+.f64 1 (.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 14)))))) (/.f64 2/27 (pow.f64 (cbrt.f64 -1) 5))) (pow.f64 N 3)) (fma.f64 1/3 (.f64 (/.f64 1 N) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) (.f64 1/2 (/.f64 (fma.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10))) (.f64 2/3 (+.f64 1 (*.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))))) (pow.f64 N 2))))))
(fma.f64 2 (log.f64 (cbrt.f64 -1)) (fma.f64 -1/6 (/.f64 (fma.f64 -2 (-.f64 (/.f64 1/27 (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) (fma.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 1)) 1)) (fma.f64 -2/3 (.f64 (fma.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 1) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 14)))) (/.f64 -2/27 (pow.f64 (cbrt.f64 -1) 5)))) (pow.f64 N 3)) (fma.f64 1/3 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) N) (/.f64 (.f64 1/2 (fma.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10))) (+.f64 2/3 (.f64 2/9 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))))) (pow.f64 N 2)))))
(/.f64 -2/3 N)
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 2))) (.f64 2/3 (/.f64 1 N)))
(-.f64 (/.f64 1/3 (pow.f64 N 2)) (/.f64 2/3 N))
(+.f64 (/.f64 1/3 (pow.f64 N 2)) (/.f64 -2/3 N))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 2))) (+.f64 (.f64 2/9 (/.f64 1 (pow.f64 N 3))) (*.f64 2/3 (/.f64 1 N))))
(-.f64 (/.f64 1/3 (pow.f64 N 2)) (+.f64 (/.f64 2/3 N) (/.f64 2/9 (pow.f64 N 3))))
(+.f64 (-.f64 (/.f64 1/3 (pow.f64 N 2)) (/.f64 2/9 (pow.f64 N 3))) (/.f64 -2/3 N))
(-.f64 (+.f64 (.f64 1/6 (/.f64 1 (pow.f64 N 4))) (.f64 1/3 (/.f64 1 (pow.f64 N 2)))) (+.f64 (.f64 2/9 (/.f64 1 (pow.f64 N 3))) (.f64 2/3 (/.f64 1 N))))
(-.f64 (+.f64 (/.f64 1/3 (pow.f64 N 2)) (/.f64 1/6 (pow.f64 N 4))) (+.f64 (/.f64 2/3 N) (/.f64 2/9 (pow.f64 N 3))))
(+.f64 (/.f64 1/3 (pow.f64 N 2)) (-.f64 (/.f64 1/6 (pow.f64 N 4)) (+.f64 (/.f64 2/3 N) (/.f64 2/9 (pow.f64 N 3)))))
(log.f64 (pow.f64 (cbrt.f64 -1) 4))
(*.f64 4 (log.f64 (cbrt.f64 -1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 4)) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (/.f64 1 N))))
(+.f64 (.f64 4 (log.f64 (cbrt.f64 -1))) (.f64 (*.f64 (/.f64 1 N) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) 2/3))
(fma.f64 4 (log.f64 (cbrt.f64 -1)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) (/.f64 2/3 N)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 4)) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -4/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3)) (.f64 2 (/.f64 (+.f64 (.f64 -2/3 (.f64 (cbrt.f64 -1) (+.f64 1 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))) (.f64 1/9 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (pow.f64 (cbrt.f64 -1) 4)))) (pow.f64 N 2))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (/.f64 1 N)))))
(+.f64 (.f64 4 (log.f64 (cbrt.f64 -1))) (fma.f64 1/2 (/.f64 (fma.f64 -4/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10))) (.f64 2 (/.f64 (fma.f64 -2/3 (.f64 (cbrt.f64 -1) (+.f64 1 (.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))))) (.f64 1/9 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)))) (pow.f64 (cbrt.f64 -1) 4)))) (pow.f64 N 2)) (.f64 (*.f64 (/.f64 1 N) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) 2/3)))
(fma.f64 4 (log.f64 (cbrt.f64 -1)) (fma.f64 1/2 (/.f64 (fma.f64 2 (/.f64 (fma.f64 1/9 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (.f64 (fma.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 1) (.f64 (cbrt.f64 -1) -2/3))) (pow.f64 (cbrt.f64 -1) 4)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10))) -4/9)) (pow.f64 N 2)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) (/.f64 2/3 N))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 4)) (+.f64 (.f64 -1/6 (/.f64 (-.f64 (+.f64 (.f64 4 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 17)) 1/3) (+.f64 (.f64 -2/3 (.f64 (cbrt.f64 -1) (+.f64 1 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))) (.f64 1/9 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))))) (.f64 6 (/.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (+.f64 1 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))) (.f64 2/3 (.f64 (cbrt.f64 -1) (-.f64 (.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) (+.f64 1 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 1 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))))))) (pow.f64 (cbrt.f64 -1) 4)))) (.f64 16/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) (pow.f64 N 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -4/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3)) (.f64 2 (/.f64 (+.f64 (.f64 -2/3 (.f64 (cbrt.f64 -1) (+.f64 1 (.f64 1/3 (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))) (.f64 1/9 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))) (pow.f64 (cbrt.f64 -1) 4)))) (pow.f64 N 2))) (.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (/.f64 1 N))))))
(+.f64 (.f64 4 (log.f64 (cbrt.f64 -1))) (fma.f64 -1/6 (/.f64 (-.f64 (fma.f64 4 (.f64 (fma.f64 -2/3 (.f64 (cbrt.f64 -1) (+.f64 1 (.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))))) (.f64 1/9 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 17)))) (.f64 6 (/.f64 (fma.f64 2/9 (.f64 (+.f64 1 (.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (.f64 2/3 (.f64 (cbrt.f64 -1) (-.f64 (/.f64 1/27 (pow.f64 (cbrt.f64 -1) 2)) (+.f64 1 (.f64 (.f64 2/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) (+.f64 1 (.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))))))))) (pow.f64 (cbrt.f64 -1) 4)))) (/.f64 16/27 (pow.f64 (cbrt.f64 -1) 5))) (pow.f64 N 3)) (fma.f64 1/2 (/.f64 (fma.f64 -4/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10))) (.f64 2 (/.f64 (fma.f64 -2/3 (.f64 (cbrt.f64 -1) (+.f64 1 (.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))))) (.f64 1/9 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)))) (pow.f64 (cbrt.f64 -1) 4)))) (pow.f64 N 2)) (.f64 (*.f64 (/.f64 1 N) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) 2/3))))
(fma.f64 4 (log.f64 (cbrt.f64 -1)) (fma.f64 -1/6 (/.f64 (fma.f64 4 (.f64 (fma.f64 1/9 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (.f64 (fma.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 1) (.f64 (cbrt.f64 -1) -2/3))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 17)))) (fma.f64 6 (/.f64 (fma.f64 (.f64 2/3 (cbrt.f64 -1)) (-.f64 (/.f64 1/27 (pow.f64 (cbrt.f64 -1) 2)) (fma.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) (fma.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 1)) 1)) (.f64 (fma.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 1) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))) 2/9))) (pow.f64 (cbrt.f64 -1) 4)) (/.f64 -16/27 (pow.f64 (cbrt.f64 -1) 5)))) (pow.f64 N 3)) (fma.f64 1/2 (/.f64 (fma.f64 2 (/.f64 (fma.f64 1/9 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2)) (.f64 (fma.f64 1/3 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 1) (.f64 (cbrt.f64 -1) -2/3))) (pow.f64 (cbrt.f64 -1) 4)) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10))) -4/9)) (pow.f64 N 2)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) (/.f64 2/3 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 1/2 (pow.f64 N 2)) (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))))
(+.f64 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/3 (pow.f64 N 3))) (/.f64 -1 N))
(-.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 1/4 (pow.f64 N 4)) (-.f64 (/.f64 1/2 (pow.f64 N 2)) (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3)))))
(+.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 (log.f64 (pow.f64 (cbrt.f64 -1) 2)) (log.f64 (pow.f64 (cbrt.f64 -1) 4)))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 -1))) (.f64 4 (log.f64 (cbrt.f64 -1))))
(*.f64 (log.f64 (cbrt.f64 -1)) 6)
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(*.f64 (/.f64 N N) (/.f64 (+.f64 N -1/2) (pow.f64 N 2)))
(*.f64 N (/.f64 (+.f64 N -1/2) (pow.f64 N 3)))
(/.f64 (+.f64 N -1/2) (pow.f64 N 2))
(*.f64 (/.f64 (+.f64 N -1/2) (pow.f64 N 2)) (/.f64 N N))
(*.f64 N (/.f64 (+.f64 N -1/2) (pow.f64 N 3)))
(/.f64 (+.f64 N -1/2) (pow.f64 N 2))
(*.f64 (/.f64 N (pow.f64 N 2)) (/.f64 (+.f64 N -1/2) N))
(*.f64 N (/.f64 (+.f64 N -1/2) (pow.f64 N 3)))
(/.f64 (+.f64 N -1/2) (pow.f64 N 2))
(*.f64 (/.f64 (+.f64 N -1/2) N) (/.f64 N (pow.f64 N 2)))
(*.f64 N (/.f64 (+.f64 N -1/2) (pow.f64 N 3)))
(/.f64 (+.f64 N -1/2) (pow.f64 N 2))
(*.f64 (/.f64 N (pow.f64 N 3/2)) (/.f64 (+.f64 N -1/2) (pow.f64 N 3/2)))
(*.f64 N (/.f64 (+.f64 N -1/2) (pow.f64 N 3)))
(/.f64 (+.f64 N -1/2) (pow.f64 N 2))
(*.f64 (/.f64 (+.f64 N -1/2) (pow.f64 N 3/2)) (/.f64 N (pow.f64 N 3/2)))
(*.f64 N (/.f64 (+.f64 N -1/2) (pow.f64 N 3)))
(/.f64 (+.f64 N -1/2) (pow.f64 N 2))
(.f64 (/.f64 1 (pow.f64 N 3/2)) (/.f64 (.f64 N (+.f64 N -1/2)) (pow.f64 N 3/2)))
(*.f64 N (/.f64 (+.f64 N -1/2) (pow.f64 N 3)))
(/.f64 (+.f64 N -1/2) (pow.f64 N 2))
(*.f64 (/.f64 (+.f64 N -1/2) 1) (/.f64 N (pow.f64 N 3)))
(*.f64 N (/.f64 (+.f64 N -1/2) (pow.f64 N 3)))
(/.f64 (+.f64 N -1/2) (pow.f64 N 2))
(*.f64 (/.f64 N (pow.f64 N 3)) (+.f64 N -1/2))
(*.f64 N (/.f64 (+.f64 N -1/2) (pow.f64 N 3)))
(/.f64 (+.f64 N -1/2) (pow.f64 N 2))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 N (+.f64 N -1/2))) 2) N) (/.f64 (cbrt.f64 (*.f64 N (+.f64 N -1/2))) (pow.f64 N 2)))
(*.f64 N (/.f64 (+.f64 N -1/2) (pow.f64 N 3)))
(/.f64 (+.f64 N -1/2) (pow.f64 N 2))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 N (+.f64 N -1/2))) 2) 1) (/.f64 (cbrt.f64 (*.f64 N (+.f64 N -1/2))) (pow.f64 N 3)))
(*.f64 N (/.f64 (+.f64 N -1/2) (pow.f64 N 3)))
(/.f64 (+.f64 N -1/2) (pow.f64 N 2))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 N (+.f64 N -1/2))) 2) (pow.f64 N 2)) (cbrt.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)))
(.f64 (cbrt.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)) (/.f64 (pow.f64 (cbrt.f64 (.f64 N (+.f64 N -1/2))) 2) (pow.f64 N 2)))
(.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (/.f64 (pow.f64 (cbrt.f64 (.f64 N (+.f64 N -1/2))) 2) (pow.f64 N 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 N (+.f64 N -1/2))) 2) (pow.f64 N 3/2)) (/.f64 (cbrt.f64 (*.f64 N (+.f64 N -1/2))) (pow.f64 N 3/2)))
(*.f64 N (/.f64 (+.f64 N -1/2) (pow.f64 N 3)))
(/.f64 (+.f64 N -1/2) (pow.f64 N 2))
(.f64 (/.f64 (sqrt.f64 (.f64 N (+.f64 N -1/2))) N) (/.f64 (sqrt.f64 (*.f64 N (+.f64 N -1/2))) (pow.f64 N 2)))
(*.f64 N (/.f64 (+.f64 N -1/2) (pow.f64 N 3)))
(/.f64 (+.f64 N -1/2) (pow.f64 N 2))
(.f64 (/.f64 (sqrt.f64 (.f64 N (+.f64 N -1/2))) (pow.f64 N 2)) (/.f64 (sqrt.f64 (*.f64 N (+.f64 N -1/2))) N))
(*.f64 N (/.f64 (+.f64 N -1/2) (pow.f64 N 3)))
(/.f64 (+.f64 N -1/2) (pow.f64 N 2))
(.f64 (/.f64 (sqrt.f64 (.f64 N (+.f64 N -1/2))) 1) (/.f64 (sqrt.f64 (*.f64 N (+.f64 N -1/2))) (pow.f64 N 3)))
(*.f64 N (/.f64 (+.f64 N -1/2) (pow.f64 N 3)))
(/.f64 (+.f64 N -1/2) (pow.f64 N 2))
(*.f64 (+.f64 (pow.f64 N -1/2) (/.f64 (sqrt.f64 1/2) N)) (-.f64 (pow.f64 N -1/2) (/.f64 (sqrt.f64 1/2) N)))
(*.f64 (+.f64 (/.f64 (sqrt.f64 1/2) N) (pow.f64 N -1/2)) (-.f64 (pow.f64 N -1/2) (/.f64 (sqrt.f64 1/2) N)))
(pow.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) 1)
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)) 3)
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) 3) 1/3)
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)) 2)
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(pow.f64 (/.f64 1 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)) -1)
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(neg.f64 (/.f64 (*.f64 N (+.f64 N -1/2)) (neg.f64 (pow.f64 N 3))))
(*.f64 N (/.f64 (+.f64 N -1/2) (pow.f64 N 3)))
(/.f64 (+.f64 N -1/2) (pow.f64 N 2))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) 2))
(fabs.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(log.f64 (exp.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N))))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) 3))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(cbrt.f64 (/.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 3) (pow.f64 (pow.f64 N 3) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(exp.f64 (log.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)) 1))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(fma.f64 1 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2)))
(fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (*.f64 -1/2 (pow.f64 N -2)))
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (*.f64 -1/2 (pow.f64 N -2)))
(fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N))
(+.f64 (pow.f64 N 2) (neg.f64 (*.f64 N 1/2)))
(*.f64 N (+.f64 N -1/2))
(+.f64 (pow.f64 N 2) (*.f64 N -1/2))
(*.f64 N (+.f64 N -1/2))
(+.f64 (pow.f64 N 2) (*.f64 (neg.f64 N) 1/2))
(*.f64 N (+.f64 N -1/2))
(+.f64 (pow.f64 N 2) (*.f64 -1/2 N))
(*.f64 N (+.f64 N -1/2))
(+.f64 (.f64 N (+.f64 N -1/2)) (fma.f64 -1/2 N (.f64 N 1/2)))
(fma.f64 N (+.f64 N -1/2) (fma.f64 -1/2 N (*.f64 N 1/2)))
(fma.f64 N (+.f64 N -1/2) (*.f64 N 0))
(-.f64 (pow.f64 N 2) (*.f64 N 1/2))
(*.f64 N (+.f64 N -1/2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 N (+.f64 N -1/2)))) 1)
(*.f64 N (+.f64 N -1/2))
(/.f64 (-.f64 (pow.f64 N 6) (pow.f64 (.f64 N 1/2) 3)) (+.f64 (pow.f64 N 4) (+.f64 (.f64 (.f64 N 1/2) (.f64 N 1/2)) (.f64 (pow.f64 N 2) (.f64 N 1/2)))))
(/.f64 (-.f64 (pow.f64 N 6) (.f64 (pow.f64 N 3) 1/8)) (+.f64 (pow.f64 N 4) (+.f64 (.f64 (pow.f64 N 2) 1/4) (*.f64 (pow.f64 N 3) 1/2))))
(/.f64 (+.f64 (pow.f64 N 6) (.f64 (pow.f64 N 3) -1/8)) (+.f64 (pow.f64 N 4) (.f64 (pow.f64 N 2) (fma.f64 N 1/2 1/4))))
(/.f64 (-.f64 (pow.f64 N 4) (.f64 (.f64 N 1/2) (.f64 N 1/2))) (+.f64 (pow.f64 N 2) (.f64 N 1/2)))
(/.f64 (-.f64 (pow.f64 N 4) (.f64 (pow.f64 N 2) 1/4)) (+.f64 (pow.f64 N 2) (.f64 N 1/2)))
(/.f64 (+.f64 (pow.f64 N 4) (.f64 (pow.f64 N 2) -1/4)) (.f64 N (+.f64 N 1/2)))
(/.f64 (.f64 N (+.f64 (pow.f64 N 3) -1/8)) (fma.f64 N N (+.f64 (.f64 N 1/2) 1/4)))
(/.f64 (+.f64 (pow.f64 N 3) -1/8) (/.f64 (fma.f64 N N (fma.f64 N 1/2 1/4)) N))
(/.f64 (+.f64 (pow.f64 N 4) (.f64 N -1/8)) (+.f64 (.f64 N (+.f64 N 1/2)) 1/4))
(/.f64 (*.f64 N (fma.f64 N N -1/4)) (+.f64 N 1/2))
(/.f64 (fma.f64 N N -1/4) (/.f64 (+.f64 N 1/2) N))
(/.f64 (.f64 (+.f64 (pow.f64 N 3) -1/8) N) (fma.f64 N N (+.f64 (.f64 N 1/2) 1/4)))
(/.f64 (+.f64 (pow.f64 N 3) -1/8) (/.f64 (fma.f64 N N (fma.f64 N 1/2 1/4)) N))
(/.f64 (+.f64 (pow.f64 N 4) (.f64 N -1/8)) (+.f64 (.f64 N (+.f64 N 1/2)) 1/4))
(/.f64 (*.f64 (fma.f64 N N -1/4) N) (+.f64 N 1/2))
(/.f64 (fma.f64 N N -1/4) (/.f64 (+.f64 N 1/2) N))
(pow.f64 (*.f64 N (+.f64 N -1/2)) 1)
(*.f64 N (+.f64 N -1/2))
(pow.f64 (cbrt.f64 (*.f64 N (+.f64 N -1/2))) 3)
(*.f64 N (+.f64 N -1/2))
(pow.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 3) 1/3)
(*.f64 N (+.f64 N -1/2))
(pow.f64 (sqrt.f64 (*.f64 N (+.f64 N -1/2))) 2)
(*.f64 N (+.f64 N -1/2))
(sqrt.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 2))
(fabs.f64 (*.f64 N (+.f64 N -1/2)))
(log.f64 (pow.f64 (exp.f64 N) (+.f64 N -1/2)))
(*.f64 N (+.f64 N -1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 N (+.f64 N -1/2)))))
(*.f64 N (+.f64 N -1/2))
(cbrt.f64 (pow.f64 (*.f64 N (+.f64 N -1/2)) 3))
(*.f64 N (+.f64 N -1/2))
(cbrt.f64 (*.f64 (pow.f64 N 3) (pow.f64 (+.f64 N -1/2) 3)))
(*.f64 N (+.f64 N -1/2))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 N -1/2) 3) (pow.f64 N 3)))
(*.f64 N (+.f64 N -1/2))
(expm1.f64 (log1p.f64 (*.f64 N (+.f64 N -1/2))))
(*.f64 N (+.f64 N -1/2))
(exp.f64 (log.f64 (*.f64 N (+.f64 N -1/2))))
(*.f64 N (+.f64 N -1/2))
(exp.f64 (.f64 (log.f64 (.f64 N (+.f64 N -1/2))) 1))
(*.f64 N (+.f64 N -1/2))
(log1p.f64 (expm1.f64 (*.f64 N (+.f64 N -1/2))))
(*.f64 N (+.f64 N -1/2))
(fma.f64 N N (neg.f64 (*.f64 N 1/2)))
(*.f64 N (+.f64 N -1/2))
(fma.f64 1 (pow.f64 N 2) (neg.f64 (*.f64 N 1/2)))
(*.f64 N (+.f64 N -1/2))
(fma.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2) (neg.f64 (*.f64 N 1/2)))
(fma.f64 (cbrt.f64 (pow.f64 N 4)) (pow.f64 (cbrt.f64 N) 2) (*.f64 N -1/2))

eval298.0ms (3.9%)

Compiler: Compiled 12841 to 9930 computations (22.7% saved)

prune94.0ms (1.2%)

Pruning

13 alts after pruning (5 fresh and 8 done)

	Pruned	Kept	Total
New	524	4	528
Fresh	0	1	1
Picked	2	2	4
Done	0	6	6
Total	526	13	539

Accuracy

99.9%

Counts

539 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	20.5%	(pow.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) 3) 1/3)
	52.5%	(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
✓	53.8%	(/.f64 1 N)
✓	3.8%	(-.f64 (/.f64 1 N) (/.f64 1/2 1))
✓	49.2%	(-.f64 N (log.f64 N))
✓	53.4%	(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
	28.7%	(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
	20.9%	(.f64 N (.f64 (+.f64 N -1/2) (pow.f64 N -3)))
✓	52.0%	(neg.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 N (+.f64 N 1))) 2)) (log.f64 (cbrt.f64 (/.f64 N (+.f64 N 1))))))
✓	52.2%	(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
✓	48.0%	(neg.f64 (log.f64 N))
✓	52.2%	(log.f64 (/.f64 (+.f64 N 1) N))
	4.3%	0

Compiler

Compiled 269 to 189 computations (29.7% saved)

regimes40.0ms (0.5%)

Counts

20 → 2

Calls

Call 1

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

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

Calls

2 calls:

21.0ms	N
14.0ms	(-.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 168 to 110 computations (34.5% saved)

regimes50.0ms (0.7%)

Counts

16 → 2

Calls

Call 1

Inputs
0
(/.f64 1 N)
(-.f64 (/.f64 1 N) (/.f64 1/2 1))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N 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 N -1/2))
(.f64 N (.f64 (+.f64 N -1/2) (pow.f64 N -3)))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(/.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N 3))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(pow.f64 (pow.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N) 3) 1/3)

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

Calls

2 calls:

29.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
17.0ms	N

Results

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

Compiler

Compiled 115 to 79 computations (31.3% saved)

regimes13.0ms (0.2%)

Counts

8 → 2

Calls

Call 1

Inputs
0
(/.f64 1 N)
(-.f64 (/.f64 1 N) (/.f64 1/2 1))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N 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 (-.f64 1 (/.f64 1/2 N)) N)

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
99.9%	2	`N`

Compiler

Compiled 43 to 29 computations (32.6% saved)

regimes12.0ms (0.2%)

Counts

7 → 2

Calls

Call 1

Inputs
0
(/.f64 1 N)
(-.f64 (/.f64 1 N) (/.f64 1/2 1))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(neg.f64 (log.f64 N))
(-.f64 N (log.f64 N))

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
99.2%	2	`N`

Compiler

Compiled 37 to 25 computations (32.4% saved)

regimes12.0ms (0.2%)

Counts

6 → 2

Calls

Call 1

Inputs
0
(/.f64 1 N)
(-.f64 (/.f64 1 N) (/.f64 1/2 1))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))
(neg.f64 (log.f64 N))

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
98.8%	2	`N`

Compiler

Compiled 33 to 24 computations (27.3% saved)

regimes6.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

Inputs
0
(/.f64 1 N)
(-.f64 (/.f64 1 N) (/.f64 1/2 1))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(-.f64 (/.f64 1 N) (/.f64 1/2 (*.f64 N N)))

Outputs
(/.f64 1 N)

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
53.8%	1	`N`

Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes4.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
0

Outputs
0

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
4.3%	1	`N`

Compiler

Compiled 4 to 3 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.2204771233400606e-8	0.0013552075197669211

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.2204771233400606e-8	0.0013552075197669211

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch18.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	737.3944836587226	23694003.098194502

Results

16.0ms

128×

body

256

valid

Compiler

Compiled 148 to 113 computations (23.6% saved)

bsearch20.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	5.4035200694482285e-6	32.18783082502496

Results

18.0ms

144×

body

256

valid

Compiler

Compiled 147 to 108 computations (26.5% saved)

bsearch21.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	5.4035200694482285e-6	32.18783082502496

Results

19.0ms

144×

body

256

valid

Compiler

Compiled 138 to 108 computations (21.7% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	375
1	63	375
2	74	375
3	80	375
4	83	375
5	84	375

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 944473296573929/18889465931478580854784) (+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2)))) (neg.f64 (log.f64 (/.f64 N (+.f64 N 1)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 944473296573929/18889465931478580854784) (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (neg.f64 (log.f64 (/.f64 N (+.f64 N 1)))))
(if (<=.f64 N 150000) (log.f64 (/.f64 (+.f64 N 1) N)) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(if (<=.f64 N 8106479329266893/9007199254740992) (-.f64 N (log.f64 N)) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(if (<=.f64 N 5944751508129055/9007199254740992) (neg.f64 (log.f64 N)) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(/.f64 1 N)
0

Outputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 944473296573929/18889465931478580854784) (+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2)))) (neg.f64 (log.f64 (/.f64 N (+.f64 N 1)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 944473296573929/18889465931478580854784) (/.f64 (-.f64 1 (/.f64 1/2 N)) N) (neg.f64 (log.f64 (/.f64 N (+.f64 N 1)))))
(if (<=.f64 N 150000) (log.f64 (/.f64 (+.f64 N 1) N)) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(if (<=.f64 N 8106479329266893/9007199254740992) (-.f64 N (log.f64 N)) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(if (<=.f64 N 5944751508129055/9007199254740992) (neg.f64 (log.f64 N)) (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
(/.f64 1 N)
0

Compiler

Compiled 113 to 85 computations (24.8% saved)

soundness2.0s (26.8%)

Rules

2592×	`fma-def`
1760×	`fma-def`
1760×	`fma-def`
1760×	`fma-def`
1760×	`fma-def`

Iterations

Useful iterations: 0 (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
0	228	3781
1	569	3613
2	1593	3601
3	6252	3601
0	9	21
1	92	21
2	1194	21
0	27	194
1	392	180
2	5843	180
0	9	21
1	92	21
2	1194	21
0	473	6429
1	1181	6071
2	4542	5835
0	228	3781
1	569	3613
2	1593	3601
3	6252	3601
0	228	3781
1	569	3613
2	1593	3601
3	6252	3601
0	22	132
1	311	105
2	4447	105
0	25	203
1	403	189
2	5964	189
0	795	18943
1	2103	15647
0	228	3781
1	569	3613
2	1593	3601
3	6252	3601

Stop Event

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

Compiler

Compiled 667 to 464 computations (30.4% saved)

end0.0ms (0%)

preprocess83.0ms (1.1%)

Compiler: Compiled 230 to 164 computations (28.7% saved)

analyze0.0ms (0%)

sample1.7s (22.1%)

preprocess372.0ms (4.9%)

eval0.0ms (0%)

prune1.0ms (0%)

localize60.0ms (0.8%)

series1.0ms (0%)

rewrite114.0ms (1.5%)

simplify80.0ms (1%)

eval41.0ms (0.5%)

prune28.0ms (0.4%)

localize221.0ms (2.9%)

series14.0ms (0.2%)

rewrite134.0ms (1.7%)

simplify308.0ms (4%)

eval245.0ms (3.2%)

prune68.0ms (0.9%)

localize287.0ms (3.8%)

series59.0ms (0.8%)

rewrite138.0ms (1.8%)

simplify133.0ms (1.7%)

eval107.0ms (1.4%)

prune50.0ms (0.7%)

localize446.0ms (5.8%)

series15.0ms (0.2%)

rewrite173.0ms (2.3%)

simplify140.0ms (1.8%)

eval298.0ms (3.9%)

prune94.0ms (1.2%)

regimes40.0ms (0.5%)

regimes50.0ms (0.7%)

regimes13.0ms (0.2%)

regimes12.0ms (0.2%)

regimes12.0ms (0.2%)

regimes6.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch18.0ms (0.2%)

bsearch20.0ms (0.3%)

bsearch21.0ms (0.3%)

simplify9.0ms (0.1%)

soundness2.0s (26.8%)

end0.0ms (0%)

preprocess83.0ms (1.1%)

Profiling