Metrics for 2log (problem 3.3.6)

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	3.2%	96.8%	0%	0%	0%	0
100%	3.2%	0%	96.8%	0%	0%	0%	1

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.2s (12.1%)

Results

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Bogosity

preprocess403.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

1754×	`fma-define`
1686×	`fma-neg`
986×	`distribute-rgt-in`
946×	`distribute-lft-in`
774×	`associate-+r+`

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
246	-	-	`(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))`
0	-	-	`1`
0	-	-	`(log.f64 N)`
0	-	-	`(log.f64 (+.f64 N 1))`
0	-	-	`(+.f64 N 1)`
0	-	-	`N`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	17	128
1	33	104
2	65	100
3	125	100
4	272	100
5	525	100
6	797	96
7	1283	96
8	2024	96
9	3468	96
10	4141	96
11	4169	96
12	4193	96
13	4193	96
14	6273	96
15	6710	96
16	7062	96
17	7062	96
18	7465	96
19	7999	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 48 to 32 computations (33.3% 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
▶	28.7%	(-.f64 (log1p.f64 N) (log.f64 N))
▶	28.7%	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize65.0ms (0.7%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	100.0%	(log1p.f64 N)
✓	28.7%	(-.f64 (log1p.f64 N) (log.f64 N))
✓	100.0%	(log.f64 (+.f64 N 1))
✓	28.7%	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Compiler

Compiled 30 to 15 computations (50% saved)

series9.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite223.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1042×	`unpow-prod-down`
862×	`prod-diff`
624×	`log1p-expm1-u`
624×	`expm1-log1p-u`
558×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	58
1	181	58
2	1758	58

Stop Event

1×	node limit

Counts

4 → 324

Calls

Call 1

Inputs
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(log.f64 (+.f64 N 1))
(-.f64 (log1p.f64 N) (log.f64 N))
(log1p.f64 N)

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

simplify157.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1182×	`cancel-sign-sub-inv`
1032×	`unswap-sqr`
626×	`times-frac`
540×	`log-prod`
476×	`sub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	426	12288
1	1033	11580
2	3552	10432

Stop Event

1×	node limit

Counts

372 → 270

Calls

Call 1

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

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

eval83.0ms (0.9%)

Compiler: Compiled 3887 to 2007 computations (48.4% saved)

prune42.0ms (0.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	262	8	270
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	264	8	272

Accuracy

99.9%

Counts

272 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	81.0%	(/.f64 1 N)
▶	94.4%	(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
	96.0%	(+.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)))))
	98.3%	(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 5)) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
▶	98.2%	(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)))
▶	97.3%	(.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 7) (cbrt.f64 (log1p.f64 (/.f64 1 N))))))
▶	99.8%	(log1p.f64 (/.f64 1 N))
	31.3%	(log.f64 (+.f64 1 (/.f64 1 N)))

Compiler

Compiled 216 to 182 computations (15.7% saved)

localize637.0ms (6.5%)

Localize:

Found 13 expressions with local error:

New	Accuracy	Program
✓	99.0%	(cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))))
✓	99.0%	(cbrt.f64 (log1p.f64 (/.f64 1 N)))
✓	99.0%	(cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 7) (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
✓	97.9%	(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 7)
✓	99.8%	(log1p.f64 (/.f64 1 N))
✓	99.4%	(pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)
✓	99.3%	(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)))
✓	99.0%	(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2))
✓	99.8%	(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
✓	99.8%	(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2)))
✓	99.6%	(/.f64 1/2 (pow.f64 N 2))
✓	99.4%	(/.f64 1/3 (pow.f64 N 3))
✓	99.8%	(log1p.f64 (/.f64 1 N))

Compiler

Compiled 181 to 145 computations (19.9% saved)

series82.0ms (0.8%)

Counts

13 → 108

Calls

39 calls:

Time	Variable		Point	Expression
26.0ms	N	@	0	(cbrt.f64 (log1p.f64 (/.f64 1 N)))
11.0ms	N	@	0	(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 7)
4.0ms	N	@	0	(cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 7) (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
3.0ms	N	@	inf	(cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 7) (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
3.0ms	N	@	inf	(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)))

rewrite234.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1140×	`log1p-expm1-u`
540×	`expm1-log1p-u`
266×	`associate-r`
182×	`unpow-prod-down`
166×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	299
1	408	285
2	5510	285

Stop Event

1×	node limit

Counts

13 → 340

Calls

Call 1

Inputs
(log1p.f64 (/.f64 1 N))
(/.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 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)))
(pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)
(log1p.f64 (/.f64 1 N))
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 7)
(cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 7) (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(cbrt.f64 (log1p.f64 (/.f64 1 N)))
(cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))))

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

simplify261.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1304×	`fma-define`
610×	`distribute-rgt-in`
602×	`distribute-lft-in`
574×	`*-commutative`
532×	`sqr-pow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1116	4294995601
1	3088	27440

Stop Event

1×	node limit

Counts

448 → 531

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 1/3 (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 (sqrt.f64 (log.f64 N)) (sqrt.f64 -1))
(+.f64 (.f64 1/2 (.f64 (/.f64 N (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 N))))) (*.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 -1)))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 (pow.f64 N 2) (+.f64 1/2 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (/.f64 1 (sqrt.f64 -1)))) 2))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 N))))) (+.f64 (.f64 1/2 (.f64 (/.f64 N (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 N))))) (.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 -1))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 (pow.f64 N 2) (+.f64 1/2 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (/.f64 1 (sqrt.f64 -1)))) 2))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 N))))) (+.f64 (.f64 1/2 (.f64 (/.f64 N (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 N))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (pow.f64 N 3) (-.f64 1/3 (.f64 -1/2 (/.f64 (+.f64 1/2 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (/.f64 1 (sqrt.f64 -1)))) 2)) (.f64 (log.f64 N) (pow.f64 (sqrt.f64 -1) 2)))))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 N))))) (*.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 -1)))))
(*.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 (sqrt.f64 (pow.f64 (log.f64 N) 3)) (sqrt.f64 -1))
(+.f64 (.f64 -3/2 (.f64 (.f64 N (sqrt.f64 -1)) (sqrt.f64 (log.f64 N)))) (.f64 (sqrt.f64 (pow.f64 (log.f64 N) 3)) (sqrt.f64 -1)))
(+.f64 (.f64 -3/2 (.f64 (.f64 N (sqrt.f64 -1)) (sqrt.f64 (log.f64 N)))) (+.f64 (.f64 (sqrt.f64 (pow.f64 (log.f64 N) 3)) (sqrt.f64 -1)) (.f64 (.f64 (pow.f64 N 2) (.f64 (sqrt.f64 -1) (+.f64 (.f64 3/4 (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2)))) (*.f64 9/8 (/.f64 1 (pow.f64 (log.f64 N) 2)))))) (sqrt.f64 (pow.f64 (log.f64 N) 3)))))
(+.f64 (.f64 -3/2 (.f64 (.f64 N (sqrt.f64 -1)) (sqrt.f64 (log.f64 N)))) (+.f64 (.f64 (sqrt.f64 (pow.f64 (log.f64 N) 3)) (sqrt.f64 -1)) (+.f64 (.f64 (.f64 (pow.f64 N 2) (.f64 (sqrt.f64 -1) (+.f64 (.f64 3/4 (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2)))) (.f64 9/8 (/.f64 1 (pow.f64 (log.f64 N) 2)))))) (sqrt.f64 (pow.f64 (log.f64 N) 3))) (.f64 (.f64 (pow.f64 N 3) (.f64 (sqrt.f64 -1) (-.f64 (+.f64 (.f64 -9/8 (/.f64 (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2))) (log.f64 N))) (.f64 1/4 (-.f64 (.f64 3 (/.f64 1 (pow.f64 (log.f64 N) 2))) (+.f64 (.f64 2 (/.f64 1 (log.f64 N))) (.f64 2 (/.f64 1 (pow.f64 (log.f64 N) 3))))))) (.f64 9/16 (/.f64 1 (pow.f64 (log.f64 N) 3)))))) (sqrt.f64 (pow.f64 (log.f64 N) 3))))))
(sqrt.f64 (/.f64 1 (pow.f64 N 3)))
(+.f64 (sqrt.f64 (/.f64 1 (pow.f64 N 3))) (*.f64 -3/4 (sqrt.f64 (/.f64 1 (pow.f64 N 5)))))
(+.f64 (sqrt.f64 (/.f64 1 (pow.f64 N 3))) (+.f64 (.f64 -3/4 (sqrt.f64 (/.f64 1 (pow.f64 N 5)))) (.f64 19/32 (sqrt.f64 (/.f64 1 (pow.f64 N 7))))))
(+.f64 (sqrt.f64 (/.f64 1 (pow.f64 N 3))) (+.f64 (.f64 -3/4 (sqrt.f64 (/.f64 1 (pow.f64 N 5)))) (+.f64 (.f64 -63/128 (sqrt.f64 (/.f64 1 (pow.f64 N 9)))) (*.f64 19/32 (sqrt.f64 (/.f64 1 (pow.f64 N 7)))))))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))))
(+.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) (.f64 -3/4 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) N)))
(+.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) (+.f64 (.f64 -3/4 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) N)) (.f64 19/32 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) (pow.f64 N 2)))))
(+.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) (+.f64 (.f64 -3/4 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) N)) (+.f64 (.f64 -63/128 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) (pow.f64 N 3))) (.f64 19/32 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) (pow.f64 N 2))))))
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (+.f64 (.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
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(.f64 (.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6))
(.f64 (.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (cbrt.f64 (log1p.f64 (/.f64 1 N)))) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6))
(pow.f64 (log1p.f64 (/.f64 1 N)) 1)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2) 2/3)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))
(log.f64 (+.f64 1 (/.f64 1 N)))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) 2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 7))) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 7))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 7) 1)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 7)) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 14)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 14)) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 7)))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 7/6) (pow.f64 (log1p.f64 (/.f64 1 N)) 7/6))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) 2) 7) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) 7))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) 7) (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) 7))
(sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 14))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 7)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 7))))
(cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 7) 3))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 7)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 7)))
(exp.f64 (*.f64 7 (log.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))))))
(exp.f64 (.f64 (.f64 7 (log.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))))) 1))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 8)))) 1)
(*.f64 1 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 8)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 8)) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 7)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 7)) (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 8))) (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 16))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 16))) (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 8))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 4)) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 4)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 8)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 16)) 1/3) (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 8))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 4) 1/3) (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 4) 1/3))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 7)) 1) (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 7)) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))))) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 7)) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)))
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 8/3)
(pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 8) 1/3)
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 8)) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 8))) 3)
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 4)) 2)
(sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 16)))
(log.f64 (exp.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 8))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 8)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 8))))
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 8))))
(exp.f64 (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 8))))
(exp.f64 (.f64 (.f64 8 (log.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 8))) 1))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))))) 1)
(*.f64 1 (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) 2) (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) 2) 1) (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))))) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) 2) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)))
(pow.f64 (log1p.f64 (/.f64 1 N)) 1/3)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2))
(log.f64 (exp.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(exp.f64 (log.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) 1))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))) 1)
(*.f64 1 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))))) 2) (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) 1/3) (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) 1/3))
(pow.f64 (log1p.f64 (/.f64 1 N)) 1/9)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 1/3)
(pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))))) 3)
(pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) 2))
(log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))))))
(log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))))))
(exp.f64 (log.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))))) 1))

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

eval755.0ms (7.7%)

Compiler: Compiled 32949 to 27340 computations (17% saved)

prune178.0ms (1.8%)

Pruning

16 alts after pruning (12 fresh and 4 done)

	Pruned	Kept	Total
New	928	11	939
Fresh	2	1	3
Picked	1	4	5
Done	0	0	0
Total	931	16	947

Accuracy

100.0%

Counts

947 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
	97.7%	(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
	94.0%	(/.f64 1 (/.f64 (-.f64 (/.f64 1 N) (fma.f64 1/3 (pow.f64 N -3) (.f64 -1/2 (pow.f64 N -2)))) (-.f64 (pow.f64 N -2) (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (.f64 -1/2 (pow.f64 N -2))) 2))))
✓	81.0%	(/.f64 1 N)
✓	94.4%	(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
	95.9%	(*.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2) 1/3) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)))
	95.9%	(*.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) 3) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)))
▶	99.5%	(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (sqrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
	97.8%	(.f64 (.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (cbrt.f64 (log1p.f64 (/.f64 1 N)))) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6))
▶	95.7%	(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) 3))
	98.9%	(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)))
✓	98.2%	(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)))
✓	99.8%	(log1p.f64 (/.f64 1 N))
▶	31.3%	(log.f64 (+.f64 1 (/.f64 1 N)))
	95.4%	(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
▶	98.9%	(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))

Compiler

Compiled 377 to 322 computations (14.6% saved)

localize744.0ms (7.6%)

Localize:

Found 16 expressions with local error:

New	Accuracy	Program
✓	99.8%	(sqrt.f64 (log1p.f64 (/.f64 1 N)))
✓	99.3%	(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) 3))
✓	98.9%	(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) 3)
✓	97.5%	(pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)
	99.8%	(log1p.f64 (/.f64 1 N))
✓	99.8%	(sqrt.f64 (log1p.f64 (/.f64 1 N)))
✓	99.3%	(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
	99.8%	(log1p.f64 (/.f64 1 N))
✓	98.9%	(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
✓	98.8%	(pow.f64 (log1p.f64 (/.f64 1 N)) 3)
✓	100.0%	(+.f64 1 (/.f64 1 N))
✓	31.3%	(log.f64 (+.f64 1 (/.f64 1 N)))
	99.8%	(log1p.f64 (/.f64 1 N))
✓	99.8%	(sqrt.f64 (log1p.f64 (/.f64 1 N)))
✓	99.7%	(pow.f64 (log1p.f64 (/.f64 1 N)) 3/4)
✓	99.5%	(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (sqrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))

Compiler

Compiled 147 to 117 computations (20.4% saved)

series82.0ms (0.8%)

Counts

13 → 115

Calls

39 calls:

Time	Variable		Point	Expression
41.0ms	N	@	inf	(pow.f64 (log1p.f64 (/.f64 1 N)) 3/4)
4.0ms	N	@	0	(pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)
4.0ms	N	@	0	(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) 3)
3.0ms	N	@	-inf	(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) 3)
2.0ms	N	@	inf	(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) 3)

rewrite184.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

836×	`log-prod`
759×	`log1p-expm1-u`
759×	`expm1-log1p-u`
478×	`pow-unpow`
424×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	383
1	300	218
2	2833	218

Stop Event

1×	node limit

Counts

13 → 590

Calls

Call 1

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

Outputs
(+.f64 (log1p.f64 (/.f64 1 N)) 0)
(+.f64 0 (log1p.f64 (/.f64 1 N)))
(+.f64 (.f64 2 (.f64 1/3 (log1p.f64 (/.f64 1 N)))) (*.f64 1/3 (log1p.f64 (/.f64 1 N))))
(+.f64 (.f64 1/3 (log1p.f64 (/.f64 1 N))) (.f64 2 (*.f64 1/3 (log1p.f64 (/.f64 1 N)))))
(+.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2))) (log.f64 (hypot.f64 1 (pow.f64 N -1/2))))
(+.f64 (log1p.f64 (pow.f64 N -3)) (log.f64 (/.f64 1 (+.f64 1 (-.f64 (pow.f64 N -2) (/.f64 1 N))))))
(+.f64 (log1p.f64 (neg.f64 (pow.f64 N -2))) (log.f64 (/.f64 1 (-.f64 1 (/.f64 1 N)))))
(-.f64 0 (log.f64 (/.f64 (+.f64 1 (-.f64 (pow.f64 N -2) (/.f64 1 N))) (+.f64 1 (pow.f64 N -3)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 1 (/.f64 1 N)) (-.f64 1 (pow.f64 N -2)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 1 N)))) 1)
(-.f64 (log1p.f64 (pow.f64 N -3)) (log1p.f64 (-.f64 (pow.f64 N -2) (/.f64 1 N))))
(-.f64 (log1p.f64 (pow.f64 N -3)) (log.f64 (+.f64 (pow.f64 N -2) (-.f64 1 (/.f64 1 N)))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 N -2))) (log1p.f64 (neg.f64 (/.f64 1 N))))
(-.f64 (log.f64 (neg.f64 (+.f64 1 (pow.f64 N -3)))) (log.f64 (neg.f64 (+.f64 1 (-.f64 (pow.f64 N -2) (/.f64 1 N))))))
(-.f64 (log.f64 (neg.f64 (-.f64 1 (pow.f64 N -2)))) (log.f64 (neg.f64 (-.f64 1 (/.f64 1 N)))))
(-.f64 (log.f64 (-.f64 (pow.f64 N -2) 1)) (log.f64 (-.f64 (/.f64 1 N) 1)))
(pow.f64 (log1p.f64 (/.f64 1 N)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) 6)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) 1/2)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
(neg.f64 (log.f64 (/.f64 (+.f64 1 (-.f64 (pow.f64 N -2) (/.f64 1 N))) (+.f64 1 (pow.f64 N -3)))))
(neg.f64 (log.f64 (/.f64 (-.f64 1 (/.f64 1 N)) (-.f64 1 (pow.f64 N -2)))))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))
(log.f64 (+.f64 1 (/.f64 1 N)))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
(cbrt.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) 3)))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
(log1p.f64 (/.f64 1 N))
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (log1p.f64 (/.f64 1 N)))) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)) 6))
(exp.f64 (.f64 (.f64 2 (log.f64 (log1p.f64 (/.f64 1 N)))) 1/2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) 3))
(+.f64 0 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4))) (cbrt.f64 (exp.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4))) 1)
(*.f64 1 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) 1)
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (log.f64 (exp.f64 1)))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) (.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)))
(.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8) (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) 3/4) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3/4))
(.f64 (.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/12))
(.f64 (.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/4)) (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/4))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2))
(log.f64 (exp.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4))))
(cbrt.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) 3))
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4)))
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4)))
(exp.f64 (log.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4)) 1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) 3/2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log1p.f64 (/.f64 1 N)))) 1/4))
(exp.f64 (.f64 (.f64 2 (log.f64 (log1p.f64 (/.f64 1 N)))) 3/8))
(exp.f64 (.f64 (.f64 3 (log.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4))) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8)) 2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)) 1/2))
(+.f64 0 (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))) (cbrt.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))) 1)
(*.f64 1 (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1)
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (log.f64 (exp.f64 1)))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) (.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)) (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/4) (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8))
(.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/4) (.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/4) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8) (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/4))
(.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/12) (.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/12) (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
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(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) 3))
(+.f64 0 (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))) (cbrt.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))) 1)
(*.f64 1 (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1)
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (log.f64 (exp.f64 1)))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) (.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)) (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/4) (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8))
(.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/4) (.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/4) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8) (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/4))
(.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/12) (.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/12) (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) 1/2) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) 3) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2)) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6))
(.f64 (.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/12))
(.f64 (.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 1) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6))
(.f64 (.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)))
(.f64 (.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/12)) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/12))
(pow.f64 (log1p.f64 (/.f64 1 N)) 1/2)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) 2)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/6)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) 3)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3/2)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(log.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(exp.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)) 2))
(exp.f64 (.f64 (.f64 3 (log.f64 (log1p.f64 (/.f64 1 N)))) 1/6))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) 3/2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)) 1/3))

simplify353.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

1250×	`associate-r`
1210×	`associate-l`
1032×	`fma-define`
752×	`sqr-pow`
544×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	967	31247
1	2613	29471

Stop Event

1×	node limit

Counts

705 → 522

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)))))
(pow.f64 (*.f64 -1 (pow.f64 (log.f64 N) 3)) 1/4)
(+.f64 (.f64 -3/4 (.f64 (pow.f64 (/.f64 -1 (log.f64 N)) 1/4) N)) (pow.f64 (*.f64 -1 (pow.f64 (log.f64 N) 3)) 1/4))
(+.f64 (.f64 -3/4 (.f64 (pow.f64 (/.f64 -1 (log.f64 N)) 1/4) N)) (+.f64 (.f64 (pow.f64 (.f64 -1 (pow.f64 (log.f64 N) 3)) 1/4) (.f64 (pow.f64 N 2) (+.f64 (.f64 3/8 (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2)))) (.f64 9/32 (/.f64 1 (pow.f64 (log.f64 N) 2)))))) (pow.f64 (.f64 -1 (pow.f64 (log.f64 N) 3)) 1/4)))
(+.f64 (.f64 -3/4 (.f64 (pow.f64 (/.f64 -1 (log.f64 N)) 1/4) N)) (+.f64 (.f64 (pow.f64 (.f64 -1 (pow.f64 (log.f64 N) 3)) 1/4) (.f64 (pow.f64 N 2) (+.f64 (.f64 3/8 (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2)))) (.f64 9/32 (/.f64 1 (pow.f64 (log.f64 N) 2)))))) (+.f64 (.f64 (pow.f64 (.f64 -1 (pow.f64 (log.f64 N) 3)) 1/4) (.f64 (pow.f64 N 3) (-.f64 (+.f64 (.f64 -9/32 (/.f64 (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2))) (log.f64 N))) (.f64 1/8 (-.f64 (.f64 3 (/.f64 1 (pow.f64 (log.f64 N) 2))) (+.f64 (.f64 2 (/.f64 1 (log.f64 N))) (.f64 2 (/.f64 1 (pow.f64 (log.f64 N) 3))))))) (.f64 9/128 (/.f64 1 (pow.f64 (log.f64 N) 3)))))) (pow.f64 (*.f64 -1 (pow.f64 (log.f64 N) 3)) 1/4))))
(pow.f64 (/.f64 1 (pow.f64 N 3)) 1/4)
(+.f64 (*.f64 -3/8 (pow.f64 (/.f64 1 (pow.f64 N 7)) 1/4)) (pow.f64 (/.f64 1 (pow.f64 N 3)) 1/4))
(+.f64 (.f64 -3/8 (pow.f64 (/.f64 1 (pow.f64 N 7)) 1/4)) (+.f64 (.f64 29/128 (pow.f64 (/.f64 1 (pow.f64 N 11)) 1/4)) (pow.f64 (/.f64 1 (pow.f64 N 3)) 1/4)))
(+.f64 (.f64 -3/8 (pow.f64 (/.f64 1 (pow.f64 N 7)) 1/4)) (+.f64 (.f64 -165/1024 (pow.f64 (/.f64 1 (pow.f64 N 15)) 1/4)) (+.f64 (*.f64 29/128 (pow.f64 (/.f64 1 (pow.f64 N 11)) 1/4)) (pow.f64 (/.f64 1 (pow.f64 N 3)) 1/4))))
(exp.f64 (*.f64 3/4 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))))
(+.f64 (exp.f64 (.f64 3/4 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) (.f64 -3/8 (/.f64 (exp.f64 (*.f64 3/4 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) N)))
(+.f64 (exp.f64 (.f64 3/4 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) (+.f64 (.f64 -3/8 (/.f64 (exp.f64 (.f64 3/4 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) N)) (.f64 29/128 (/.f64 (exp.f64 (*.f64 3/4 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) (pow.f64 N 2)))))
(+.f64 (exp.f64 (.f64 3/4 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) (+.f64 (.f64 -3/8 (/.f64 (exp.f64 (.f64 3/4 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) N)) (+.f64 (.f64 -165/1024 (/.f64 (exp.f64 (.f64 3/4 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) (pow.f64 N 3))) (.f64 29/128 (/.f64 (exp.f64 (*.f64 3/4 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) (pow.f64 N 2))))))
(*.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 -1))
(+.f64 (.f64 1/2 (.f64 (/.f64 N (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 N))))) (*.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 -1)))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 (pow.f64 N 2) (+.f64 1/2 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (/.f64 1 (sqrt.f64 -1)))) 2))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 N))))) (+.f64 (.f64 1/2 (.f64 (/.f64 N (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 N))))) (.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 -1))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 (pow.f64 N 2) (+.f64 1/2 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (/.f64 1 (sqrt.f64 -1)))) 2))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 N))))) (+.f64 (.f64 1/2 (.f64 (/.f64 N (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 N))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (pow.f64 N 3) (-.f64 1/3 (.f64 -1/2 (/.f64 (+.f64 1/2 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (/.f64 1 (sqrt.f64 -1)))) 2)) (.f64 (log.f64 N) (pow.f64 (sqrt.f64 -1) 2)))))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 N))))) (*.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 -1)))))
(*.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)
1
1
(*.f64 -1 (pow.f64 (log.f64 N) 3))
(+.f64 (.f64 -1 (pow.f64 (log.f64 N) 3)) (.f64 N (+.f64 (*.f64 2 (pow.f64 (log.f64 N) 2)) (pow.f64 (log.f64 N) 2))))
(+.f64 (.f64 -1 (pow.f64 (log.f64 N) 3)) (+.f64 (.f64 N (+.f64 (.f64 2 (pow.f64 (log.f64 N) 2)) (pow.f64 (log.f64 N) 2))) (.f64 (pow.f64 N 2) (+.f64 (.f64 -2 (log.f64 N)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 1 (log.f64 N)))) (.f64 -1/2 (pow.f64 (log.f64 N) 2)))))))
(+.f64 (.f64 -1 (pow.f64 (log.f64 N) 3)) (+.f64 (.f64 N (+.f64 (.f64 2 (pow.f64 (log.f64 N) 2)) (pow.f64 (log.f64 N) 2))) (+.f64 (.f64 (pow.f64 N 2) (+.f64 (.f64 -2 (log.f64 N)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 1 (log.f64 N)))) (.f64 -1/2 (pow.f64 (log.f64 N) 2))))) (.f64 (pow.f64 N 3) (+.f64 1 (+.f64 (.f64 -1 (.f64 (log.f64 N) (-.f64 (.f64 -2/3 (log.f64 N)) 1))) (+.f64 (.f64 1/3 (pow.f64 (log.f64 N) 2)) (.f64 2 (log.f64 N)))))))))
(/.f64 1 (pow.f64 N 3))
(-.f64 (/.f64 1 (pow.f64 N 3)) (*.f64 3/2 (/.f64 1 (pow.f64 N 4))))
(-.f64 (+.f64 (.f64 7/4 (/.f64 1 (pow.f64 N 5))) (/.f64 1 (pow.f64 N 3))) (.f64 3/2 (/.f64 1 (pow.f64 N 4))))
(-.f64 (+.f64 (.f64 7/4 (/.f64 1 (pow.f64 N 5))) (/.f64 1 (pow.f64 N 3))) (+.f64 (.f64 3/2 (/.f64 1 (pow.f64 N 4))) (*.f64 15/8 (/.f64 1 (pow.f64 N 6)))))
(/.f64 1 (pow.f64 N 3))
(-.f64 (/.f64 1 (pow.f64 N 3)) (*.f64 3/2 (/.f64 1 (pow.f64 N 4))))
(-.f64 (+.f64 (.f64 7/4 (/.f64 1 (pow.f64 N 5))) (/.f64 1 (pow.f64 N 3))) (.f64 3/2 (/.f64 1 (pow.f64 N 4))))
(-.f64 (+.f64 (.f64 7/4 (/.f64 1 (pow.f64 N 5))) (/.f64 1 (pow.f64 N 3))) (+.f64 (.f64 3/2 (/.f64 1 (pow.f64 N 4))) (*.f64 15/8 (/.f64 1 (pow.f64 N 6)))))
(*.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 (log.f64 N) (pow.f64 (sqrt.f64 -1) 2))
(+.f64 N (*.f64 (log.f64 N) (pow.f64 (sqrt.f64 -1) 2)))
(+.f64 N (+.f64 (.f64 (log.f64 N) (pow.f64 (sqrt.f64 -1) 2)) (.f64 (pow.f64 N 2) (+.f64 (.f64 -1 (+.f64 1/2 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (/.f64 1 (sqrt.f64 -1)))) 2))) (.f64 1/4 (/.f64 1 (*.f64 (log.f64 N) (pow.f64 (sqrt.f64 -1) 2))))))))
(+.f64 N (+.f64 (.f64 1/3 (pow.f64 N 3)) (+.f64 (.f64 (log.f64 N) (pow.f64 (sqrt.f64 -1) 2)) (.f64 (pow.f64 N 2) (+.f64 (.f64 -1 (+.f64 1/2 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (/.f64 1 (sqrt.f64 -1)))) 2))) (.f64 1/4 (/.f64 1 (.f64 (log.f64 N) (pow.f64 (sqrt.f64 -1) 2)))))))))
(*.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 -1))
(+.f64 (.f64 1/2 (.f64 (/.f64 N (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 N))))) (*.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 -1)))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 (pow.f64 N 2) (+.f64 1/2 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (/.f64 1 (sqrt.f64 -1)))) 2))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 N))))) (+.f64 (.f64 1/2 (.f64 (/.f64 N (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 N))))) (.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 -1))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 (pow.f64 N 2) (+.f64 1/2 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (/.f64 1 (sqrt.f64 -1)))) 2))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 N))))) (+.f64 (.f64 1/2 (.f64 (/.f64 N (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 N))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (pow.f64 N 3) (-.f64 1/3 (.f64 -1/2 (/.f64 (+.f64 1/2 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (/.f64 1 (sqrt.f64 -1)))) 2)) (.f64 (log.f64 N) (pow.f64 (sqrt.f64 -1) 2)))))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 N))))) (*.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 -1)))))
(pow.f64 (*.f64 -1 (log.f64 N)) 1/6)
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(.f64 (.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/12))
(.f64 (.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 1) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6))
(.f64 (.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)))
(.f64 (.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/12)) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/12))
(sqrt.f64 (log1p.f64 (/.f64 1 N)))
(fabs.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(log.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(exp.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)) 2))
(exp.f64 (.f64 (.f64 3 (log.f64 (log1p.f64 (/.f64 1 N)))) 1/6))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) 3/2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)) 1/3))
(+.f64 (log1p.f64 (/.f64 1 N)) 0)
(+.f64 0 (log1p.f64 (/.f64 1 N)))
(+.f64 (.f64 2 (.f64 1/3 (log1p.f64 (/.f64 1 N)))) (*.f64 1/3 (log1p.f64 (/.f64 1 N))))
(+.f64 (.f64 1/3 (log1p.f64 (/.f64 1 N))) (.f64 2 (*.f64 1/3 (log1p.f64 (/.f64 1 N)))))
(+.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2))) (log.f64 (hypot.f64 1 (pow.f64 N -1/2))))
(+.f64 (log1p.f64 (pow.f64 N -3)) (log.f64 (/.f64 1 (+.f64 1 (-.f64 (pow.f64 N -2) (/.f64 1 N))))))
(+.f64 (log1p.f64 (neg.f64 (pow.f64 N -2))) (log.f64 (/.f64 1 (-.f64 1 (/.f64 1 N)))))
(-.f64 0 (log.f64 (/.f64 (+.f64 1 (-.f64 (pow.f64 N -2) (/.f64 1 N))) (+.f64 1 (pow.f64 N -3)))))
(-.f64 0 (log.f64 (/.f64 (-.f64 1 (/.f64 1 N)) (-.f64 1 (pow.f64 N -2)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 1 N)))) 1)
(-.f64 (log1p.f64 (pow.f64 N -3)) (log1p.f64 (-.f64 (pow.f64 N -2) (/.f64 1 N))))
(-.f64 (log1p.f64 (pow.f64 N -3)) (log.f64 (+.f64 (pow.f64 N -2) (-.f64 1 (/.f64 1 N)))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 N -2))) (log1p.f64 (neg.f64 (/.f64 1 N))))
(-.f64 (log.f64 (neg.f64 (+.f64 1 (pow.f64 N -3)))) (log.f64 (neg.f64 (+.f64 1 (-.f64 (pow.f64 N -2) (/.f64 1 N))))))
(-.f64 (log.f64 (neg.f64 (-.f64 1 (pow.f64 N -2)))) (log.f64 (neg.f64 (-.f64 1 (/.f64 1 N)))))
(-.f64 (log.f64 (-.f64 (pow.f64 N -2) 1)) (log.f64 (-.f64 (/.f64 1 N) 1)))
(pow.f64 (log1p.f64 (/.f64 1 N)) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) 6)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) 1/2)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
(neg.f64 (log.f64 (/.f64 (+.f64 1 (-.f64 (pow.f64 N -2) (/.f64 1 N))) (+.f64 1 (pow.f64 N -3)))))
(neg.f64 (log.f64 (/.f64 (-.f64 1 (/.f64 1 N)) (-.f64 1 (pow.f64 N -2)))))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))
(log.f64 (+.f64 1 (/.f64 1 N)))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
(cbrt.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) 3)))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
(log1p.f64 (/.f64 1 N))
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (log1p.f64 (/.f64 1 N)))) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)) 6))
(exp.f64 (.f64 (.f64 2 (log.f64 (log1p.f64 (/.f64 1 N)))) 1/2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) 3))
(+.f64 0 (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))) (cbrt.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))) 1)
(*.f64 1 (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1)
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (log.f64 (exp.f64 1)))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) (.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)) (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/4) (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8))
(.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/4) (.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/4) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8) (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/4))
(.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/12) (.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/12) (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) 1/2) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) 3) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2)) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6))
(.f64 (.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/12))
(.f64 (.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 1) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6))
(.f64 (.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)))
(.f64 (.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/12)) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/12))
(pow.f64 (log1p.f64 (/.f64 1 N)) 1/2)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) 2)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/6)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) 3)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3/2)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(log.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(exp.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)) 2))
(exp.f64 (.f64 (.f64 3 (log.f64 (log1p.f64 (/.f64 1 N)))) 1/6))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) 3/2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)) 1/3))

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 (-.f64 N (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 N (fma.f64 -1 (log.f64 N) (fma.f64 -1/2 (pow.f64 N 2) (*.f64 1/3 (pow.f64 N 3)))))
(+.f64 (-.f64 N (log.f64 N)) (fma.f64 -1/2 (pow.f64 N 2) (*.f64 1/3 (pow.f64 N 3))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.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 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.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)))))
(pow.f64 (*.f64 -1 (pow.f64 (log.f64 N) 3)) 1/4)
(pow.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) 1/4)
(+.f64 (.f64 -3/4 (.f64 (pow.f64 (/.f64 -1 (log.f64 N)) 1/4) N)) (pow.f64 (*.f64 -1 (pow.f64 (log.f64 N) 3)) 1/4))
(fma.f64 -3/4 (*.f64 N (pow.f64 (/.f64 -1 (log.f64 N)) 1/4)) (pow.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) 1/4))
(+.f64 (.f64 -3/4 (.f64 (pow.f64 (/.f64 -1 (log.f64 N)) 1/4) N)) (+.f64 (.f64 (pow.f64 (.f64 -1 (pow.f64 (log.f64 N) 3)) 1/4) (.f64 (pow.f64 N 2) (+.f64 (.f64 3/8 (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2)))) (.f64 9/32 (/.f64 1 (pow.f64 (log.f64 N) 2)))))) (pow.f64 (.f64 -1 (pow.f64 (log.f64 N) 3)) 1/4)))
(fma.f64 -3/4 (.f64 N (pow.f64 (/.f64 -1 (log.f64 N)) 1/4)) (fma.f64 (pow.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) 1/4) (.f64 (pow.f64 N 2) (fma.f64 3/8 (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2))) (/.f64 9/32 (pow.f64 (log.f64 N) 2)))) (pow.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) 1/4)))
(fma.f64 -3/4 (.f64 N (pow.f64 (/.f64 -1 (log.f64 N)) 1/4)) (.f64 (+.f64 (*.f64 (pow.f64 N 2) (fma.f64 3/8 (+.f64 (/.f64 1 (log.f64 N)) (/.f64 -1 (pow.f64 (log.f64 N) 2))) (/.f64 9/32 (pow.f64 (log.f64 N) 2)))) 1) (pow.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) 1/4)))
(+.f64 (.f64 -3/4 (.f64 (pow.f64 (/.f64 -1 (log.f64 N)) 1/4) N)) (+.f64 (.f64 (pow.f64 (.f64 -1 (pow.f64 (log.f64 N) 3)) 1/4) (.f64 (pow.f64 N 2) (+.f64 (.f64 3/8 (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2)))) (.f64 9/32 (/.f64 1 (pow.f64 (log.f64 N) 2)))))) (+.f64 (.f64 (pow.f64 (.f64 -1 (pow.f64 (log.f64 N) 3)) 1/4) (.f64 (pow.f64 N 3) (-.f64 (+.f64 (.f64 -9/32 (/.f64 (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2))) (log.f64 N))) (.f64 1/8 (-.f64 (.f64 3 (/.f64 1 (pow.f64 (log.f64 N) 2))) (+.f64 (.f64 2 (/.f64 1 (log.f64 N))) (.f64 2 (/.f64 1 (pow.f64 (log.f64 N) 3))))))) (.f64 9/128 (/.f64 1 (pow.f64 (log.f64 N) 3)))))) (pow.f64 (*.f64 -1 (pow.f64 (log.f64 N) 3)) 1/4))))
(fma.f64 -3/4 (.f64 N (pow.f64 (/.f64 -1 (log.f64 N)) 1/4)) (fma.f64 (pow.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) 1/4) (.f64 (pow.f64 N 2) (fma.f64 3/8 (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2))) (/.f64 9/32 (pow.f64 (log.f64 N) 2)))) (fma.f64 (pow.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) 1/4) (.f64 (pow.f64 N 3) (-.f64 (fma.f64 -9/32 (/.f64 (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2))) (log.f64 N)) (.f64 1/8 (-.f64 (/.f64 3 (pow.f64 (log.f64 N) 2)) (+.f64 (/.f64 2 (log.f64 N)) (/.f64 2 (pow.f64 (log.f64 N) 3)))))) (/.f64 9/128 (pow.f64 (log.f64 N) 3)))) (pow.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) 1/4))))
(+.f64 (.f64 (pow.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) 1/4) (+.f64 (.f64 (pow.f64 N 2) (fma.f64 3/8 (+.f64 (/.f64 1 (log.f64 N)) (/.f64 -1 (pow.f64 (log.f64 N) 2))) (/.f64 9/32 (pow.f64 (log.f64 N) 2)))) (.f64 (pow.f64 N 3) (fma.f64 -9/32 (/.f64 (+.f64 (/.f64 1 (log.f64 N)) (/.f64 -1 (pow.f64 (log.f64 N) 2))) (log.f64 N)) (fma.f64 1/8 (-.f64 (/.f64 3 (pow.f64 (log.f64 N) 2)) (+.f64 (/.f64 2 (log.f64 N)) (/.f64 2 (pow.f64 (log.f64 N) 3)))) (/.f64 -9/128 (pow.f64 (log.f64 N) 3))))))) (fma.f64 -3/4 (.f64 N (pow.f64 (/.f64 -1 (log.f64 N)) 1/4)) (pow.f64 (neg.f64 (pow.f64 (log.f64 N) 3)) 1/4)))
(pow.f64 (/.f64 1 (pow.f64 N 3)) 1/4)
(+.f64 (*.f64 -3/8 (pow.f64 (/.f64 1 (pow.f64 N 7)) 1/4)) (pow.f64 (/.f64 1 (pow.f64 N 3)) 1/4))
(fma.f64 -3/8 (pow.f64 (/.f64 1 (pow.f64 N 7)) 1/4) (pow.f64 (/.f64 1 (pow.f64 N 3)) 1/4))
(+.f64 (.f64 -3/8 (pow.f64 (/.f64 1 (pow.f64 N 7)) 1/4)) (+.f64 (.f64 29/128 (pow.f64 (/.f64 1 (pow.f64 N 11)) 1/4)) (pow.f64 (/.f64 1 (pow.f64 N 3)) 1/4)))
(fma.f64 -3/8 (pow.f64 (/.f64 1 (pow.f64 N 7)) 1/4) (fma.f64 29/128 (pow.f64 (/.f64 1 (pow.f64 N 11)) 1/4) (pow.f64 (/.f64 1 (pow.f64 N 3)) 1/4)))
(+.f64 (.f64 -3/8 (pow.f64 (/.f64 1 (pow.f64 N 7)) 1/4)) (+.f64 (.f64 -165/1024 (pow.f64 (/.f64 1 (pow.f64 N 15)) 1/4)) (+.f64 (*.f64 29/128 (pow.f64 (/.f64 1 (pow.f64 N 11)) 1/4)) (pow.f64 (/.f64 1 (pow.f64 N 3)) 1/4))))
(fma.f64 -3/8 (pow.f64 (/.f64 1 (pow.f64 N 7)) 1/4) (fma.f64 -165/1024 (pow.f64 (/.f64 1 (pow.f64 N 15)) 1/4) (fma.f64 29/128 (pow.f64 (/.f64 1 (pow.f64 N 11)) 1/4) (pow.f64 (/.f64 1 (pow.f64 N 3)) 1/4))))
(exp.f64 (*.f64 3/4 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))))
(pow.f64 (exp.f64 3/4) (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))
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(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) 4))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/4) (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8) (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/4))
(.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/4) (.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/4) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)))
(.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/4) (.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/4)))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) (sqrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/8) (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/4))
(.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/12) (.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/12) (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) 1/2) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2)) (sqrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (fabs.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) (sqrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) 3) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2)) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2)))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) (fabs.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(.f64 (.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/12))
(.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) (.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/12)))
(.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) (.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/12)))
(.f64 (.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 1) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(.f64 (.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)))
(.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) (.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) 4))
(.f64 (.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/12)) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/12))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(pow.f64 (log1p.f64 (/.f64 1 N)) 1/2)
(sqrt.f64 (log1p.f64 (/.f64 1 N)))
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1)
(sqrt.f64 (log1p.f64 (/.f64 1 N)))
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) 2)
(sqrt.f64 (log1p.f64 (/.f64 1 N)))
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/6)
(sqrt.f64 (log1p.f64 (/.f64 1 N)))
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) 3)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3/2)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2) 1/3)
(sqrt.f64 (log1p.f64 (/.f64 1 N)))
(fabs.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(sqrt.f64 (log1p.f64 (/.f64 1 N)))
(log.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(sqrt.f64 (log1p.f64 (/.f64 1 N)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))))
(sqrt.f64 (log1p.f64 (/.f64 1 N)))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2))
(sqrt.f64 (log1p.f64 (/.f64 1 N)))
(expm1.f64 (log1p.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(sqrt.f64 (log1p.f64 (/.f64 1 N)))
(exp.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(sqrt.f64 (log1p.f64 (/.f64 1 N)))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 1/2))
(sqrt.f64 (log1p.f64 (/.f64 1 N)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) 1))
(sqrt.f64 (log1p.f64 (/.f64 1 N)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)) 2))
(sqrt.f64 (log1p.f64 (/.f64 1 N)))
(exp.f64 (.f64 (.f64 3 (log.f64 (log1p.f64 (/.f64 1 N)))) 1/6))
(sqrt.f64 (log1p.f64 (/.f64 1 N)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) 3/2))
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3/2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)) 1/3))
(sqrt.f64 (log1p.f64 (/.f64 1 N)))

eval1.3s (13.2%)

Compiler: Compiled 33313 to 27700 computations (16.8% saved)

prune190.0ms (1.9%)

Pruning

15 alts after pruning (9 fresh and 6 done)

	Pruned	Kept	Total
New	1544	6	1550
Fresh	4	3	7
Picked	2	3	5
Done	1	3	4
Total	1551	15	1566

Accuracy

100.0%

Counts

1566 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.4%	(pow.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/6) 2)
✓	99.2%	(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
	97.7%	(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
✓	81.0%	(/.f64 1 N)
▶	99.7%	(-.f64 (log1p.f64 (pow.f64 N -3)) (log1p.f64 (-.f64 (pow.f64 N -2) (/.f64 1 N))))
▶	99.7%	(-.f64 (log1p.f64 (neg.f64 (pow.f64 N -2))) (log1p.f64 (/.f64 -1 N)))
✓	94.4%	(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
	95.9%	(*.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) 3) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)))
▶	99.5%	(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4))
	99.4%	(.f64 3 (.f64 1/3 (log1p.f64 (/.f64 1 N))))
▶	99.4%	(.f64 1/3 (.f64 3 (log1p.f64 (/.f64 1 N))))
✓	99.8%	(log1p.f64 (/.f64 1 N))
✓	31.3%	(log.f64 (+.f64 1 (/.f64 1 N)))
▶	95.4%	(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
✓	98.9%	(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))

Compiler

Compiled 248 to 212 computations (14.5% saved)

localize787.0ms (8%)

Localize:

Found 17 expressions with local error:

New	Accuracy	Program
✓	99.9%	(pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)
	99.8%	(log1p.f64 (/.f64 1 N))
	99.7%	(pow.f64 (log1p.f64 (/.f64 1 N)) 3/4)
✓	99.5%	(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4))
✓	99.8%	(log1p.f64 (neg.f64 (pow.f64 N -2)))
✓	99.8%	(-.f64 (log1p.f64 (neg.f64 (pow.f64 N -2))) (log1p.f64 (/.f64 -1 N)))
✓	99.8%	(log1p.f64 (/.f64 -1 N))
✓	100.0%	(log.f64 (log1p.f64 (/.f64 1 N)))
	99.8%	(log1p.f64 (/.f64 1 N))
✓	95.4%	(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
	99.8%	(log1p.f64 (/.f64 1 N))
✓	99.5%	(*.f64 3 (log1p.f64 (/.f64 1 N)))
✓	99.4%	(.f64 1/3 (.f64 3 (log1p.f64 (/.f64 1 N))))
✓	100.0%	(log1p.f64 (pow.f64 N -3))
✓	99.9%	(-.f64 (log1p.f64 (pow.f64 N -3)) (log1p.f64 (-.f64 (pow.f64 N -2) (/.f64 1 N))))
✓	99.8%	(-.f64 (pow.f64 N -2) (/.f64 1 N))
✓	99.8%	(log1p.f64 (-.f64 (pow.f64 N -2) (/.f64 1 N)))

Compiler

Compiled 160 to 123 computations (23.1% saved)

series49.0ms (0.5%)

Counts

13 → 156

Calls

39 calls:

Time	Variable		Point	Expression
8.0ms	N	@	inf	(log1p.f64 (pow.f64 N -3))
4.0ms	N	@	-inf	(log.f64 (log1p.f64 (/.f64 1 N)))
4.0ms	N	@	0	(pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)
2.0ms	N	@	-inf	(log1p.f64 (pow.f64 N -3))
2.0ms	N	@	inf	(pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)

rewrite287.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1058×	`log1p-expm1-u`
426×	`expm1-log1p-u`
294×	`associate-r`
192×	`associate-l`
190×	`unpow-prod-down`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	421
1	467	243
2	5833	243

Stop Event

1×	node limit

Counts

13 → 434

Calls

Call 1

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

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

simplify391.0ms (4%)

Algorithm

1×	egg-herbie

Rules

1182×	`log-prod`
1094×	`fma-define`
826×	`associate-r`
728×	`associate-l`
524×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	763	28914
1	1955	27205
2	7740	27205

Stop Event

1×	node limit

Counts

590 → 492

Calls

Call 1

Inputs
(*.f64 -2 (log.f64 N))
(+.f64 (.f64 -2 (log.f64 N)) (.f64 -1 N))
(+.f64 (.f64 -2 (log.f64 N)) (+.f64 (.f64 -1 N) (*.f64 1/2 (pow.f64 N 2))))
(+.f64 (.f64 -2 (log.f64 N)) (+.f64 (.f64 -1 N) (+.f64 (.f64 1/2 (pow.f64 N 2)) (.f64 2/3 (pow.f64 N 3)))))
(/.f64 -1 N)
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 N 2))) (.f64 2/3 (/.f64 1 (pow.f64 N 3)))) (/.f64 1 N))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 2/3 (/.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 (.f64 1/2 (/.f64 1 (pow.f64 N 2))) (.f64 2/3 (/.f64 1 (pow.f64 N 3)))) (/.f64 1 N))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 2/3 (/.f64 1 (pow.f64 N 3))))) (/.f64 1 N))
(/.f64 1 (pow.f64 N 2))
(-.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 1 N))
(-.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 1 N))
(-.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 1 N))
(/.f64 -1 N)
(-.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 1 N))
(-.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 1 N))
(-.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 1 N))
(/.f64 -1 N)
(-.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 1 N))
(-.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 1 N))
(-.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 1 N))
(-.f64 (.f64 -3 (log.f64 N)) (.f64 -2 (log.f64 N)))
(-.f64 (+.f64 N (.f64 -3 (log.f64 N))) (.f64 -2 (log.f64 N)))
(-.f64 (+.f64 N (+.f64 (.f64 -3 (log.f64 N)) (.f64 -1/2 (pow.f64 N 2)))) (*.f64 -2 (log.f64 N)))
(-.f64 (+.f64 N (+.f64 (.f64 -3 (log.f64 N)) (+.f64 (.f64 -1/2 (pow.f64 N 2)) (.f64 1/3 (pow.f64 N 3))))) (.f64 -2 (log.f64 N)))
(/.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 -3 (log.f64 N))
(+.f64 (*.f64 -3 (log.f64 N)) (pow.f64 N 3))
(+.f64 (.f64 -3 (log.f64 N)) (+.f64 (.f64 -1/2 (pow.f64 N 6)) (pow.f64 N 3)))
(+.f64 (.f64 -3 (log.f64 N)) (+.f64 (.f64 -1/2 (pow.f64 N 6)) (+.f64 (*.f64 1/3 (pow.f64 N 9)) (pow.f64 N 3))))
(/.f64 1 (pow.f64 N 3))
(-.f64 (/.f64 1 (pow.f64 N 3)) (*.f64 1/2 (/.f64 1 (pow.f64 N 6))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 9))) (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 6))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 9))) (/.f64 1 (pow.f64 N 3))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 12))) (*.f64 1/2 (/.f64 1 (pow.f64 N 6)))))
(/.f64 1 (pow.f64 N 3))
(-.f64 (/.f64 1 (pow.f64 N 3)) (*.f64 1/2 (/.f64 1 (pow.f64 N 6))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 9))) (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 6))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 9))) (/.f64 1 (pow.f64 N 3))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 12))) (*.f64 1/2 (/.f64 1 (pow.f64 N 6)))))
(*.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 -3 (log.f64 N))
(+.f64 (.f64 -3 (log.f64 N)) (.f64 3 N))
(+.f64 (.f64 -3 (log.f64 N)) (+.f64 (.f64 -3/2 (pow.f64 N 2)) (*.f64 3 N)))
(+.f64 (.f64 -3 (log.f64 N)) (+.f64 (.f64 -3/2 (pow.f64 N 2)) (+.f64 (*.f64 3 N) (pow.f64 N 3))))
(/.f64 3 N)
(-.f64 (.f64 3 (/.f64 1 N)) (.f64 3/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 3 (/.f64 1 N)) (/.f64 1 (pow.f64 N 3))) (.f64 3/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 3 (/.f64 1 N)) (/.f64 1 (pow.f64 N 3))) (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 N 4))) (*.f64 3/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 3 N)
(-.f64 (.f64 3 (/.f64 1 N)) (.f64 3/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 3 (/.f64 1 N)) (/.f64 1 (pow.f64 N 3))) (.f64 3/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 3 (/.f64 1 N)) (/.f64 1 (pow.f64 N 3))) (+.f64 (.f64 3/4 (/.f64 1 (pow.f64 N 4))) (*.f64 3/2 (/.f64 1 (pow.f64 N 2)))))
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (+.f64 (.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(log.f64 (*.f64 -1 (log.f64 N)))
(+.f64 (log.f64 (.f64 -1 (log.f64 N))) (.f64 -1 (/.f64 N (log.f64 N))))
(+.f64 (log.f64 (.f64 -1 (log.f64 N))) (+.f64 (.f64 -1 (/.f64 N (log.f64 N))) (.f64 1/2 (.f64 (pow.f64 N 2) (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2)))))))
(+.f64 (log.f64 (.f64 -1 (log.f64 N))) (+.f64 (.f64 -1 (/.f64 N (log.f64 N))) (+.f64 (.f64 1/6 (.f64 (pow.f64 N 3) (-.f64 (.f64 3 (/.f64 1 (pow.f64 (log.f64 N) 2))) (+.f64 (.f64 2 (/.f64 1 (log.f64 N))) (.f64 2 (/.f64 1 (pow.f64 (log.f64 N) 3))))))) (.f64 1/2 (*.f64 (pow.f64 N 2) (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2))))))))
(log.f64 (/.f64 1 N))
(-.f64 (log.f64 (/.f64 1 N)) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (+.f64 (log.f64 (/.f64 1 N)) (.f64 5/24 (/.f64 1 (pow.f64 N 2)))) (.f64 1/2 (/.f64 1 N)))
(-.f64 (+.f64 (log.f64 (/.f64 1 N)) (.f64 5/24 (/.f64 1 (pow.f64 N 2)))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 N))))
(+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))
(-.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (log.f64 (/.f64 -1 N)) (.f64 5/24 (/.f64 1 (pow.f64 N 2))))) (.f64 1/2 (/.f64 1 N)))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (log.f64 (/.f64 -1 N)) (.f64 5/24 (/.f64 1 (pow.f64 N 2))))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 N 3))) (*.f64 1/2 (/.f64 1 N))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 N)))
(+.f64 (log.f64 -1) (+.f64 (.f64 -1 N) (.f64 -1 (log.f64 N))))
(+.f64 (log.f64 -1) (+.f64 (.f64 -1 N) (+.f64 (.f64 -1 (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2)))))
(+.f64 (log.f64 -1) (+.f64 (.f64 -1 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)
(neg.f64 (+.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(neg.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))))
(neg.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N)))))
(/.f64 -1 N)
(neg.f64 (+.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(neg.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))))
(neg.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N)))))
(-.f64 (.f64 -2 (log.f64 N)) (.f64 -1 (log.f64 N)))
(-.f64 (+.f64 N (.f64 -2 (log.f64 N))) (.f64 -1 (log.f64 N)))
(-.f64 (+.f64 N (+.f64 (.f64 -2 (log.f64 N)) (.f64 -1/2 (pow.f64 N 2)))) (*.f64 -1 (log.f64 N)))
(-.f64 (+.f64 N (+.f64 (.f64 -2 (log.f64 N)) (+.f64 (.f64 -1/2 (pow.f64 N 2)) (.f64 1/3 (pow.f64 N 3))))) (.f64 -1 (log.f64 N)))
(/.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))))
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(+.f64 (log.f64 -1) (*.f64 -2 (log.f64 N)))
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(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) 3) (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) 3) (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) 3)))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
(fma.f64 1 (log1p.f64 (pow.f64 N -3)) (neg.f64 (log1p.f64 (+.f64 (pow.f64 N -2) (/.f64 1 N)))))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 N -3))) 2) (cbrt.f64 (log1p.f64 (pow.f64 N -3))) (neg.f64 (log1p.f64 (+.f64 (pow.f64 N -2) (/.f64 1 N)))))
(fma.f64 (sqrt.f64 (log1p.f64 (pow.f64 N -3))) (sqrt.f64 (log1p.f64 (pow.f64 N -3))) (neg.f64 (log1p.f64 (+.f64 (pow.f64 N -2) (/.f64 1 N)))))
(+.f64 (log1p.f64 (pow.f64 N -2)) (neg.f64 (log1p.f64 (/.f64 1 N))))
(+.f64 (log1p.f64 (pow.f64 N -2)) (*.f64 (neg.f64 (log1p.f64 (/.f64 1 N))) 1))
(+.f64 (-.f64 (log1p.f64 (pow.f64 N -2)) (log1p.f64 (/.f64 1 N))) (fma.f64 (neg.f64 (log1p.f64 (/.f64 1 N))) 1 (log1p.f64 (/.f64 1 N))))
(+.f64 (-.f64 (log1p.f64 (pow.f64 N -2)) (log1p.f64 (/.f64 1 N))) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) (log1p.f64 (/.f64 1 N))))
(+.f64 (-.f64 (log1p.f64 (pow.f64 N -2)) (log1p.f64 (/.f64 1 N))) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) (sqrt.f64 (log1p.f64 (/.f64 1 N))) (log1p.f64 (/.f64 1 N))))
(+.f64 (neg.f64 (log1p.f64 (/.f64 1 N))) (log1p.f64 (pow.f64 N -2)))
(*.f64 1 (-.f64 (log1p.f64 (pow.f64 N -2)) (log1p.f64 (/.f64 1 N))))
(*.f64 (-.f64 (log1p.f64 (pow.f64 N -2)) (log1p.f64 (/.f64 1 N))) 1)
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 (pow.f64 N -2)) (log1p.f64 (/.f64 1 N)))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (pow.f64 N -2)) (log1p.f64 (/.f64 1 N)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (pow.f64 N -2)) (log1p.f64 (/.f64 1 N)))) 2) (cbrt.f64 (-.f64 (log1p.f64 (pow.f64 N -2)) (log1p.f64 (/.f64 1 N)))))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 (pow.f64 N -2)) (log1p.f64 (/.f64 1 N)))) (sqrt.f64 (-.f64 (log1p.f64 (pow.f64 N -2)) (log1p.f64 (/.f64 1 N)))))
(.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N -2)) 3) (pow.f64 (log1p.f64 (/.f64 1 N)) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 (pow.f64 N -2)) 2) (.f64 (log1p.f64 (/.f64 1 N)) (+.f64 (log1p.f64 (/.f64 1 N)) (log1p.f64 (pow.f64 N -2)))))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N -2)) 2) (pow.f64 (log1p.f64 (/.f64 1 N)) 2)) (/.f64 1 (+.f64 (log1p.f64 (/.f64 1 N)) (log1p.f64 (pow.f64 N -2)))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 (pow.f64 N -2))) (sqrt.f64 (log1p.f64 (/.f64 1 N)))) (-.f64 (sqrt.f64 (log1p.f64 (pow.f64 N -2))) (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 (pow.f64 N -2)) 2) (*.f64 (log1p.f64 (/.f64 1 N)) (+.f64 (log1p.f64 (/.f64 1 N)) (log1p.f64 (pow.f64 N -2))))) (-.f64 (pow.f64 (log1p.f64 (pow.f64 N -2)) 3) (pow.f64 (log1p.f64 (/.f64 1 N)) 3))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 (/.f64 1 N)) (log1p.f64 (pow.f64 N -2))) (-.f64 (pow.f64 (log1p.f64 (pow.f64 N -2)) 2) (pow.f64 (log1p.f64 (/.f64 1 N)) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N -2)) 3) (pow.f64 (log1p.f64 (/.f64 1 N)) 3)) (+.f64 (pow.f64 (log1p.f64 (pow.f64 N -2)) 2) (*.f64 (log1p.f64 (/.f64 1 N)) (+.f64 (log1p.f64 (/.f64 1 N)) (log1p.f64 (pow.f64 N -2))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N -2)) 2) (pow.f64 (log1p.f64 (/.f64 1 N)) 2)) (+.f64 (log1p.f64 (/.f64 1 N)) (log1p.f64 (pow.f64 N -2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N -2)) 3) (pow.f64 (log1p.f64 (/.f64 1 N)) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (pow.f64 N -2)) 2) (*.f64 (log1p.f64 (/.f64 1 N)) (+.f64 (log1p.f64 (/.f64 1 N)) (log1p.f64 (pow.f64 N -2)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N -2)) 2) (pow.f64 (log1p.f64 (/.f64 1 N)) 2))) (neg.f64 (+.f64 (log1p.f64 (/.f64 1 N)) (log1p.f64 (pow.f64 N -2)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (pow.f64 N -2)) 3) (pow.f64 (neg.f64 (log1p.f64 (/.f64 1 N))) 3)) (+.f64 (pow.f64 (log1p.f64 (pow.f64 N -2)) 2) (-.f64 (.f64 (neg.f64 (log1p.f64 (/.f64 1 N))) (neg.f64 (log1p.f64 (/.f64 1 N)))) (.f64 (log1p.f64 (pow.f64 N -2)) (neg.f64 (log1p.f64 (/.f64 1 N)))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N -2)) 2) (*.f64 (neg.f64 (log1p.f64 (/.f64 1 N))) (neg.f64 (log1p.f64 (/.f64 1 N))))) (-.f64 (log1p.f64 (pow.f64 N -2)) (neg.f64 (log1p.f64 (/.f64 1 N)))))
(pow.f64 (-.f64 (log1p.f64 (pow.f64 N -2)) (log1p.f64 (/.f64 1 N))) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 (pow.f64 N -2)) (log1p.f64 (/.f64 1 N)))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 (pow.f64 N -2)) (log1p.f64 (/.f64 1 N))) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 (pow.f64 N -2)) (log1p.f64 (/.f64 1 N)))) 2)
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 (pow.f64 N -2)) (log1p.f64 (/.f64 1 N))) 2))
(log.f64 (/.f64 (+.f64 (pow.f64 N -2) 1) (+.f64 1 (/.f64 1 N))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (log1p.f64 (pow.f64 N -2)) (log1p.f64 (/.f64 1 N))))))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 (pow.f64 N -2)) (log1p.f64 (/.f64 1 N))) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 (pow.f64 N -2)) (log1p.f64 (/.f64 1 N)))))
(log1p.f64 (expm1.f64 (-.f64 (log1p.f64 (pow.f64 N -2)) (log1p.f64 (/.f64 1 N)))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 (pow.f64 N -2)) (log1p.f64 (/.f64 1 N)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 (pow.f64 N -2)) (log1p.f64 (/.f64 1 N)))) 1))
(fma.f64 1 (log1p.f64 (pow.f64 N -2)) (neg.f64 (log1p.f64 (/.f64 1 N))))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 N -2))) 2) (cbrt.f64 (log1p.f64 (pow.f64 N -2))) (neg.f64 (log1p.f64 (/.f64 1 N))))
(fma.f64 (sqrt.f64 (log1p.f64 (pow.f64 N -2))) (sqrt.f64 (log1p.f64 (pow.f64 N -2))) (neg.f64 (log1p.f64 (/.f64 1 N))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (pow.f64 N -2)))) 1)
(*.f64 1 (log1p.f64 (pow.f64 N -2)))
(*.f64 (log1p.f64 (pow.f64 N -2)) 1)
(*.f64 (cbrt.f64 (log1p.f64 (pow.f64 N -2))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 N -2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 N -2))) 2) (cbrt.f64 (log1p.f64 (pow.f64 N -2))))
(*.f64 (sqrt.f64 (log1p.f64 (pow.f64 N -2))) (sqrt.f64 (log1p.f64 (pow.f64 N -2))))
(pow.f64 (log1p.f64 (pow.f64 N -2)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 N -2))) 3)
(pow.f64 (pow.f64 (log1p.f64 (pow.f64 N -2)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (pow.f64 N -2))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (pow.f64 N -2)) 2))
(log.f64 (+.f64 (pow.f64 N -2) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 N -2)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (pow.f64 N -2))))
(exp.f64 (log.f64 (log1p.f64 (pow.f64 N -2))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (pow.f64 N -2))) 1))
(+.f64 (log1p.f64 (pow.f64 N -3)) (neg.f64 (log1p.f64 (+.f64 (pow.f64 N -2) (/.f64 1 N)))))
(+.f64 (log1p.f64 (pow.f64 N -3)) (*.f64 (neg.f64 (log1p.f64 (+.f64 (pow.f64 N -2) (/.f64 1 N)))) 1))
(+.f64 (log1p.f64 (/.f64 1 N)) (fma.f64 (neg.f64 (log1p.f64 (+.f64 (pow.f64 N -2) (/.f64 1 N)))) 1 (log1p.f64 (+.f64 (pow.f64 N -2) (/.f64 1 N)))))
(+.f64 (log1p.f64 (/.f64 1 N)) (fma.f64 (neg.f64 (cbrt.f64 (log1p.f64 (+.f64 (pow.f64 N -2) (/.f64 1 N))))) (pow.f64 (cbrt.f64 (log1p.f64 (+.f64 (pow.f64 N -2) (/.f64 1 N)))) 2) (log1p.f64 (+.f64 (pow.f64 N -2) (/.f64 1 N)))))
(+.f64 (log1p.f64 (/.f64 1 N)) (fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 (+.f64 (pow.f64 N -2) (/.f64 1 N))))) (sqrt.f64 (log1p.f64 (+.f64 (pow.f64 N -2) (/.f64 1 N)))) (log1p.f64 (+.f64 (pow.f64 N -2) (/.f64 1 N)))))
(+.f64 (neg.f64 (log1p.f64 (+.f64 (pow.f64 N -2) (/.f64 1 N)))) (log1p.f64 (pow.f64 N -3)))
(-.f64 (log1p.f64 (pow.f64 N -3)) (log1p.f64 (+.f64 (pow.f64 N -2) (/.f64 1 N))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 1 N)))) 1)
(-.f64 (/.f64 (pow.f64 (log1p.f64 (pow.f64 N -3)) 3) (+.f64 (pow.f64 (log1p.f64 (pow.f64 N -3)) 2) (.f64 (log1p.f64 (+.f64 (pow.f64 N -2) (/.f64 1 N))) (+.f64 (log1p.f64 (+.f64 (pow.f64 N -2) (/.f64 1 N))) (log1p.f64 (pow.f64 N -3)))))) (/.f64 (pow.f64 (log1p.f64 (+.f64 (pow.f64 N -2) (/.f64 1 N))) 3) (+.f64 (pow.f64 (log1p.f64 (pow.f64 N -3)) 2) (.f64 (log1p.f64 (+.f64 (pow.f64 N -2) (/.f64 1 N))) (+.f64 (log1p.f64 (+.f64 (pow.f64 N -2) (/.f64 1 N))) (log1p.f64 (pow.f64 N -3)))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (pow.f64 N -3)) 2) (+.f64 (log1p.f64 (+.f64 (pow.f64 N -2) (/.f64 1 N))) (log1p.f64 (pow.f64 N -3)))) (/.f64 (pow.f64 (log1p.f64 (+.f64 (pow.f64 N -2) (/.f64 1 N))) 2) (+.f64 (log1p.f64 (+.f64 (pow.f64 N -2) (/.f64 1 N))) (log1p.f64 (pow.f64 N -3)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 (pow.f64 N -3)) 2) (*.f64 (log1p.f64 (+.f64 (pow.f64 N -2) (/.f64 1 N))) (+.f64 (log1p.f64 (+.f64 (pow.f64 N -2) (/.f64 1 N))) (log1p.f64 (pow.f64 N -3))))) (-.f64 (pow.f64 (log1p.f64 (pow.f64 N -3)) 3) (pow.f64 (log1p.f64 (+.f64 (pow.f64 N -2) (/.f64 1 N))) 3))))
(/.f64 1 (/.f64 (+.f64 (log1p.f64 (+.f64 (pow.f64 N -2) (/.f64 1 N))) (log1p.f64 (pow.f64 N -3))) (-.f64 (pow.f64 (log1p.f64 (pow.f64 N -3)) 2) (pow.f64 (log1p.f64 (+.f64 (pow.f64 N -2) (/.f64 1 N))) 2))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N -3)) 3) (pow.f64 (log1p.f64 (+.f64 (pow.f64 N -2) (/.f64 1 N))) 3)) (+.f64 (pow.f64 (log1p.f64 (pow.f64 N -3)) 2) (*.f64 (log1p.f64 (+.f64 (pow.f64 N -2) (/.f64 1 N))) (+.f64 (log1p.f64 (+.f64 (pow.f64 N -2) (/.f64 1 N))) (log1p.f64 (pow.f64 N -3))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N -3)) 2) (pow.f64 (log1p.f64 (+.f64 (pow.f64 N -2) (/.f64 1 N))) 2)) (+.f64 (log1p.f64 (+.f64 (pow.f64 N -2) (/.f64 1 N))) (log1p.f64 (pow.f64 N -3))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N -3)) 3) (pow.f64 (log1p.f64 (+.f64 (pow.f64 N -2) (/.f64 1 N))) 3))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (pow.f64 N -3)) 2) (*.f64 (log1p.f64 (+.f64 (pow.f64 N -2) (/.f64 1 N))) (+.f64 (log1p.f64 (+.f64 (pow.f64 N -2) (/.f64 1 N))) (log1p.f64 (pow.f64 N -3)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N -3)) 2) (pow.f64 (log1p.f64 (+.f64 (pow.f64 N -2) (/.f64 1 N))) 2))) (neg.f64 (+.f64 (log1p.f64 (+.f64 (pow.f64 N -2) (/.f64 1 N))) (log1p.f64 (pow.f64 N -3)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (pow.f64 N -3)) 3) (pow.f64 (neg.f64 (log1p.f64 (+.f64 (pow.f64 N -2) (/.f64 1 N)))) 3)) (+.f64 (pow.f64 (log1p.f64 (pow.f64 N -3)) 2) (-.f64 (.f64 (neg.f64 (log1p.f64 (+.f64 (pow.f64 N -2) (/.f64 1 N)))) (neg.f64 (log1p.f64 (+.f64 (pow.f64 N -2) (/.f64 1 N))))) (.f64 (log1p.f64 (pow.f64 N -3)) (neg.f64 (log1p.f64 (+.f64 (pow.f64 N -2) (/.f64 1 N))))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 N -3)) 2) (*.f64 (neg.f64 (log1p.f64 (+.f64 (pow.f64 N -2) (/.f64 1 N)))) (neg.f64 (log1p.f64 (+.f64 (pow.f64 N -2) (/.f64 1 N)))))) (-.f64 (log1p.f64 (pow.f64 N -3)) (neg.f64 (log1p.f64 (+.f64 (pow.f64 N -2) (/.f64 1 N))))))
(pow.f64 (log1p.f64 (/.f64 1 N)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
(pow.f64 (exp.f64 1) (log.f64 (log1p.f64 (/.f64 1 N))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 (/.f64 1 N)))) 2)) (cbrt.f64 (log.f64 (log1p.f64 (/.f64 1 N)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 (/.f64 1 N))))) (sqrt.f64 (log.f64 (log1p.f64 (/.f64 1 N)))))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))
(log.f64 (+.f64 1 (/.f64 1 N)))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) 3) (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) 3) (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) 3)))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
(log1p.f64 (/.f64 1 N))
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
(fma.f64 1 (log1p.f64 (pow.f64 N -3)) (neg.f64 (log1p.f64 (+.f64 (pow.f64 N -2) (/.f64 1 N)))))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 N -3))) 2) (cbrt.f64 (log1p.f64 (pow.f64 N -3))) (neg.f64 (log1p.f64 (+.f64 (pow.f64 N -2) (/.f64 1 N)))))
(fma.f64 (sqrt.f64 (log1p.f64 (pow.f64 N -3))) (sqrt.f64 (log1p.f64 (pow.f64 N -3))) (neg.f64 (log1p.f64 (+.f64 (pow.f64 N -2) (/.f64 1 N)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4))) 1)
(*.f64 1 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) 1)
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/8) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/8))
(*.f64 (pow.f64 1 1/4) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4))
(.f64 (pow.f64 1/3 1/4) (pow.f64 (.f64 3 (log1p.f64 (/.f64 1 N))) 1/4))
(.f64 (pow.f64 (.f64 3 (log1p.f64 (/.f64 1 N))) 1/4) (pow.f64 1/3 1/4))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) 1/4) (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) 1/4))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) 1/4) (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) 1/4))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) 1/4) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 1/4))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/4) (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1/4))
(sqrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(log.f64 (exp.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4))))
(cbrt.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) 3))
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)))
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)))
(exp.f64 (log.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4)) 1))

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

eval552.0ms (5.6%)

Compiler: Compiled 22081 to 18028 computations (18.4% saved)

prune141.0ms (1.4%)

Pruning

18 alts after pruning (9 fresh and 9 done)

	Pruned	Kept	Total
New	1147	9	1156
Fresh	4	0	4
Picked	2	3	5
Done	0	6	6
Total	1153	18	1171

Accuracy

100.0%

Counts

1171 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.2%	(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
✓	81.0%	(/.f64 1 N)
	96.7%	(-.f64 (-.f64 (/.f64 -1/2 (pow.f64 N 4)) (pow.f64 N -2)) (log1p.f64 (/.f64 -1 N)))
	94.0%	(-.f64 (neg.f64 (pow.f64 N -2)) (log1p.f64 (/.f64 -1 N)))
	99.1%	(-.f64 (log1p.f64 (pow.f64 N -3)) (log1p.f64 (*.f64 (+.f64 (/.f64 1 N) (pow.f64 N -1/2)) (-.f64 (/.f64 1 N) (pow.f64 N -1/2)))))
✓	99.7%	(-.f64 (log1p.f64 (neg.f64 (pow.f64 N -2))) (log1p.f64 (/.f64 -1 N)))
✓	94.4%	(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
✓	99.5%	(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4))
	99.4%	(.f64 (.f64 1/3 (log1p.f64 (/.f64 1 N))) 3)
	94.6%	(.f64 1/3 (pow.f64 (pow.f64 (.f64 3 (log1p.f64 (/.f64 1 N))) 3) 1/3))
	80.7%	(*.f64 1/3 (/.f64 3 N))
	90.8%	(*.f64 1/3 (-.f64 (/.f64 3 N) (/.f64 3/2 (pow.f64 N 2))))
	80.7%	(.f64 1/3 (.f64 3 (/.f64 1 N)))
✓	99.4%	(.f64 1/3 (.f64 3 (log1p.f64 (/.f64 1 N))))
✓	99.8%	(log1p.f64 (/.f64 1 N))
✓	31.3%	(log.f64 (+.f64 1 (/.f64 1 N)))
	87.4%	(exp.f64 (-.f64 (neg.f64 (log.f64 N)) (/.f64 1/2 N)))
✓	98.9%	(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))

Compiler

Compiled 606 to 501 computations (17.3% saved)

regimes26.0ms (0.3%)

Counts

36 → 1

Calls

Call 1

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

Outputs
(log1p.f64 (/.f64 1 N))

Calls

2 calls:

19.0ms	N
6.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Results

Accuracy	Segments	Branch
99.8%	1	`N`
99.8%	1	`(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes5.0ms (0.1%)

Accuracy

Total -0.2b remaining (-1.9%)

Threshold costs -0.2b (-1.9%)

Counts

3 → 1

Calls

Call 1

Inputs
(/.f64 1 N)
(*.f64 1/3 (/.f64 3 N))
(.f64 1/3 (.f64 3 (/.f64 1 N)))

Outputs
(/.f64 1 N)

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
81.0%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
1	14	24

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(log1p.f64 (/.f64 1 N))
(/.f64 1 N)

Outputs
(log1p.f64 (/.f64 1 N))
(/.f64 1 N)

Compiler

Compiled 9 to 7 computations (22.2% saved)

soundness356.0ms (3.6%)

Rules

1182×	`cancel-sign-sub-inv`
1042×	`unpow-prod-down`
1032×	`unswap-sqr`
862×	`prod-diff`
626×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	58
1	181	58
2	1758	58
0	426	12288
1	1033	11580
2	3552	10432

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 106 to 71 computations (33% saved)

end0.0ms (0%)

preprocess33.0ms (0.3%)

Compiler: Compiled 42 to 32 computations (23.8% saved)

analyze0.0ms (0%)

sample1.2s (12.1%)

preprocess403.0ms (4.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize65.0ms (0.7%)

series9.0ms (0.1%)

rewrite223.0ms (2.3%)

simplify157.0ms (1.6%)

eval83.0ms (0.9%)

prune42.0ms (0.4%)

localize637.0ms (6.5%)

series82.0ms (0.8%)

rewrite234.0ms (2.4%)

simplify261.0ms (2.7%)

eval755.0ms (7.7%)

prune178.0ms (1.8%)

localize744.0ms (7.6%)

series82.0ms (0.8%)

rewrite184.0ms (1.9%)

simplify353.0ms (3.6%)

eval1.3s (13.2%)

prune190.0ms (1.9%)

localize787.0ms (8%)

series49.0ms (0.5%)

rewrite287.0ms (2.9%)

simplify391.0ms (4%)

eval552.0ms (5.6%)

prune141.0ms (1.4%)

regimes26.0ms (0.3%)

regimes5.0ms (0.1%)

simplify2.0ms (0%)

soundness356.0ms (3.6%)

end0.0ms (0%)

preprocess33.0ms (0.3%)

Profiling