Metrics for 2log (problem 3.3.6)

analyze3.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	50%	0%	0%	50%	0%	2
50%	25%	25%	0%	0%	50%	0%	3
75%	37.5%	12.5%	0%	0%	50%	0%	4
87.5%	43.7%	6.2%	0%	0%	50%	0%	5
93.8%	46.9%	3.1%	0%	0%	50%	0%	6
96.9%	48.4%	1.6%	0%	0%	50%	0%	7
98.4%	49.2%	0.8%	0%	0%	50%	0%	8
99.2%	49.6%	0.4%	0%	0%	50%	0%	9
99.6%	49.8%	0.2%	0%	0%	50%	0%	10
99.8%	49.9%	0.1%	0%	0%	50%	0%	11
99.9%	49.9%	0%	0%	0%	50%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

Operation ival-log, time spent: 1.0ms, 78.0% of total-time

Operation ival-sub, time spent: 0.0ms, 0.0% of total-time

Operation ival-add, time spent: 0.0ms, 0.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

sample4.2s (36.8%)

Results

1.6s	4998×	body	0	valid
1.4s	1546×	body	3	valid
1.0s	1324×	body	2	valid
182.0ms	388×	body	1	valid

Precisions

Click to see histograms. Total time spent on operations: 2.5s

Operation ival-log, time spent: 1.4s, 56.0% of total-time

Operation ival-sub, time spent: 554.0ms, 22.0% of total-time

Operation ival-add, time spent: 489.0ms, 20.0% of total-time

Operation const, time spent: 59.0ms, 2.0% of total-time

Bogosity

preprocess441.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

2592×	`fma-def`
986×	`distribute-rgt-in`
952×	`distribute-lft-in`
842×	`fma-neg`
768×	`associate-+r+`

Problems

117×	`(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))`
96×	No Errors
43×	`(log.f64 (+.f64 N 1))`

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	800	96
7	1286	96
8	2035	96
9	3450	96
10	4123	96
11	4151	96
12	4175	96
13	4175	96
14	6249	96
15	6686	96
16	7038	96
17	7038	96
18	7440	96
19	7975	96

Stop Event

1×	node limit

Calls

Call 1

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

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

Compiler

Compiled 28 to 19 computations (32.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 100.0ms

Operation ival-log, time spent: 53.0ms, 53.0% of total-time

Operation ival-add, time spent: 32.0ms, 32.0% of total-time

Operation ival-sub, time spent: 11.0ms, 11.0% of total-time

Operation const, time spent: 4.0ms, 4.0% of total-time

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
▶	58.1%	(-.f64 (log1p.f64 N) (log.f64 N))
▶	58.1%	(-.f64 (log1p.f64 N) (log.f64 N))

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize75.0ms (0.7%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	58.1%	(-.f64 (log1p.f64 N) (log.f64 N))

Compiler

Compiled 12 to 5 computations (58.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

Operation ival-log, time spent: 14.0ms, 37.0% of total-time

Operation ival-log1p, time spent: 13.0ms, 34.0% of total-time

Operation ival-sub, time spent: 10.0ms, 26.0% of total-time

Operation const, time spent: 1.0ms, 3.0% of total-time

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	N	@	inf	(-.f64 (log1p.f64 N) (log.f64 N))
1.0ms	N	@	-inf	(-.f64 (log1p.f64 N) (log.f64 N))
0.0ms	N	@	0	(-.f64 (log1p.f64 N) (log.f64 N))

rewrite185.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	92	21
2	1197	21

Stop Event

1×	node limit

Counts

1 → 95

Calls

Call 1

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

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

simplify102.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1760×	`fma-def`
1350×	`div-sub`
548×	`unswap-sqr`
484×	`hypot-def`
444×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	228	3781
1	572	3613
2	1596	3601
3	6255	3601

Stop Event

1×	node limit

Counts

107 → 136

Calls

Call 1

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

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

eval39.0ms (0.3%)

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

prune33.0ms (0.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	127	9	136
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	128	9	137

Accuracy

100.0%

Counts

137 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	47.6%	(/.f64 1 N)
	45.5%	(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
▶	45.6%	(-.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))))
▶	55.5%	(-.f64 N (log.f64 N))
	46.8%	(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
	57.9%	(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))))
▶	58.2%	(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
	54.3%	(neg.f64 (log.f64 N))
▶	58.2%	(log.f64 (/.f64 (+.f64 N 1) N))
▶	47.6%	(/.f64 1 N)
	45.5%	(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
▶	45.6%	(-.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))))
▶	55.5%	(-.f64 N (log.f64 N))
	46.8%	(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
	57.9%	(*.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (/.f64 1 (+.f64 (log1p.f64 N) (log.f64 N))))
▶	58.2%	(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
	54.3%	(neg.f64 (log.f64 N))
▶	58.2%	(log.f64 (/.f64 (+.f64 N 1) N))

Compiler

Compiled 384 to 292 computations (24% saved)

localize661.0ms (5.8%)

Localize:

Found 11 expressions with local error:

New	Accuracy	Program
✓	99.8%	(/.f64 1/4 (pow.f64 N 4))
✓	99.5%	(/.f64 1/3 (pow.f64 N 3))
✓	99.2%	(/.f64 1/2 (pow.f64 N 2))
✓	64.4%	(-.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))))
✓	100.0%	(/.f64 (+.f64 N 1) N)
✓	99.9%	(sqrt.f64 (/.f64 (+.f64 N 1) N))
✓	97.1%	(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
✓	88.7%	(log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))
✓	100.0%	(-.f64 N (log.f64 N))
✓	100.0%	(/.f64 (+.f64 N 1) N)
✓	88.7%	(log.f64 (/.f64 (+.f64 N 1) N))

Compiler

Compiled 139 to 100 computations (28.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 317.0ms

Operation ival-add, time spent: 92.0ms, 29.0% of total-time

Operation ival-div, time spent: 77.0ms, 24.0% of total-time

Operation ival-log, time spent: 49.0ms, 15.0% of total-time

Operation ival-pow, time spent: 48.0ms, 15.0% of total-time

Operation const, time spent: 21.0ms, 7.0% of total-time

Operation ival-sqrt, time spent: 15.0ms, 5.0% of total-time

Operation ival-sub, time spent: 13.0ms, 4.0% of total-time

Operation ival-mult, time spent: 3.0ms, 1.0% of total-time

series20.0ms (0.2%)

Counts

11 → 84

Calls

33 calls:

Time	Variable		Point	Expression
4.0ms	N	@	0	(-.f64 N (log.f64 N))
3.0ms	N	@	-inf	(-.f64 N (log.f64 N))
2.0ms	N	@	-inf	(log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))
1.0ms	N	@	0	(log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))
1.0ms	N	@	inf	(-.f64 N (log.f64 N))

rewrite237.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

736×	`expm1-udef`
298×	`associate-r`
224×	`log1p-expm1-u`
224×	`expm1-log1p-u`
218×	`frac-times`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	272
1	492	260
2	7718	260

Stop Event

1×	node limit

Counts

11 → 372

Calls

Call 1

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

Outputs
(+.f64 (.f64 1/2 (-.f64 (log1p.f64 N) (log.f64 N))) (.f64 1/2 (-.f64 (log1p.f64 N) (log.f64 N))))
(+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))
(+.f64 0 (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 0 (log.f64 (/.f64 N (+.f64 N 1))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1)
(-.f64 (log.f64 (+.f64 -1 (neg.f64 N))) (log.f64 (neg.f64 N)))
(*.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(.f64 (.f64 1/2 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
(.f64 2 (.f64 1/2 (-.f64 (log1p.f64 N) (log.f64 N))))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (-.f64 (log1p.f64 N) (log.f64 N)))) 2) (.f64 (cbrt.f64 (.f64 1/2 (-.f64 (log1p.f64 N) (log.f64 N)))) 2))
(*.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 1/2 (-.f64 (log1p.f64 N) (log.f64 N)))) (.f64 (sqrt.f64 (.f64 1/2 (-.f64 (log1p.f64 N) (log.f64 N)))) 2))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(.f64 (.f64 2 (pow.f64 (cbrt.f64 (.f64 1/2 (-.f64 (log1p.f64 N) (log.f64 N)))) 2)) (cbrt.f64 (.f64 1/2 (-.f64 (log1p.f64 N) (log.f64 N)))))
(.f64 (.f64 2 (sqrt.f64 (.f64 1/2 (-.f64 (log1p.f64 N) (log.f64 N))))) (sqrt.f64 (.f64 1/2 (-.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (.f64 (log1p.f64 N) (log1p.f64 N)) (+.f64 (pow.f64 (log.f64 N) 2) (.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (-.f64 (*.f64 (log1p.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1))
(log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 N 1) N))) 1)
(*.f64 1 (/.f64 (+.f64 N 1) N))
(*.f64 (+.f64 N 1) (/.f64 1 N))
(*.f64 (/.f64 (+.f64 N 1) N) 1)
(*.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)) (sqrt.f64 (/.f64 (+.f64 N 1) N)))
(*.f64 (/.f64 1 N) (+.f64 N 1))
(*.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2))
(.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))) (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2) (cbrt.f64 (/.f64 (+.f64 N 1) N)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (.f64 (cbrt.f64 (+.f64 N 1)) (/.f64 1 N)))
(.f64 (sqrt.f64 (+.f64 N 1)) (.f64 (sqrt.f64 (+.f64 N 1)) (/.f64 1 N)))
(.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 1/4) (.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 1/4) (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(*.f64 (pow.f64 N -1/2) (/.f64 (+.f64 N 1) (sqrt.f64 N)))
(*.f64 (+.f64 -1 (neg.f64 N)) (/.f64 1 (neg.f64 N)))
(.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)) (pow.f64 (/.f64 (+.f64 N 1) N) 1/4)) (pow.f64 (/.f64 (+.f64 N 1) N) 1/4))
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(*.f64 1/2 (sqrt.f64 (pow.f64 N -4)))
(.f64 (.f64 1/2 (pow.f64 N -2)) 1)
(.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2))) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))))
(.f64 (cbrt.f64 (.f64 1/4 (pow.f64 N -4))) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))))
(*.f64 (/.f64 (sqrt.f64 1/2) N) (/.f64 (sqrt.f64 1/2) N))
(*.f64 -1/2 (/.f64 1 (neg.f64 (pow.f64 N 2))))
(*.f64 (pow.f64 N -2) 1/2)
(.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 N 8)))) (sqrt.f64 (cbrt.f64 (.f64 1/4 (pow.f64 N -4)))))
(pow.f64 (*.f64 1/2 (pow.f64 N -2)) 1)
(pow.f64 (*.f64 1/4 (pow.f64 N -4)) 1/2)
(pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) 3)
(pow.f64 (/.f64 1/8 (pow.f64 N 6)) 1/3)
(pow.f64 (/.f64 (sqrt.f64 1/2) N) 2)
(pow.f64 (*.f64 (pow.f64 N 2) 2) -1)
(sqrt.f64 (*.f64 1/4 (pow.f64 N -4)))
(fabs.f64 (*.f64 1/2 (pow.f64 N -2)))
(log.f64 (pow.f64 (exp.f64 1/2) (pow.f64 N -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (pow.f64 N -2)))))
(cbrt.f64 (/.f64 1/8 (pow.f64 N 6)))
(expm1.f64 (log1p.f64 (*.f64 1/2 (pow.f64 N -2))))
(exp.f64 (log.f64 (*.f64 1/2 (pow.f64 N -2))))
(exp.f64 (.f64 (log.f64 (.f64 1/2 (pow.f64 N -2))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/2 (pow.f64 N -2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (pow.f64 N -3)))) 1)
(.f64 1 (.f64 1/3 (pow.f64 N -3)))
(*.f64 1/3 (pow.f64 N -3))
(.f64 (.f64 1/3 (pow.f64 N -3)) 1)
(*.f64 (/.f64 (cbrt.f64 1/3) N) (pow.f64 (/.f64 (cbrt.f64 1/3) N) 2))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 1/3) N) 2) (/.f64 (cbrt.f64 1/3) N))
(*.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)))
(*.f64 -1/3 (/.f64 1 (neg.f64 (pow.f64 N 3))))
(*.f64 (pow.f64 N -3) 1/3)
(pow.f64 (*.f64 1/3 (pow.f64 N -3)) 1)
(pow.f64 (/.f64 (cbrt.f64 1/3) N) 3)
(pow.f64 (/.f64 1/27 (pow.f64 (pow.f64 N 3) 3)) 1/3)
(pow.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) 2)
(pow.f64 (*.f64 (pow.f64 N 3) 3) -1)
(sqrt.f64 (/.f64 1/9 (pow.f64 N 6)))
(log.f64 (pow.f64 (exp.f64 1/3) (pow.f64 N -3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (pow.f64 N -3)))))
(cbrt.f64 (/.f64 1/27 (pow.f64 (pow.f64 N 3) 3)))
(expm1.f64 (log1p.f64 (*.f64 1/3 (pow.f64 N -3))))
(exp.f64 (log.f64 (*.f64 1/3 (pow.f64 N -3))))
(exp.f64 (.f64 (log.f64 (.f64 1/3 (pow.f64 N -3))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/3 (pow.f64 N -3))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/4 (pow.f64 N -4)))) 1)
(.f64 1 (.f64 1/4 (pow.f64 N -4)))
(.f64 1/2 (.f64 (pow.f64 N -2) (*.f64 1/2 (pow.f64 N -2))))
(.f64 (.f64 1/2 (pow.f64 N -2)) (*.f64 1/2 (pow.f64 N -2)))
(*.f64 1/4 (pow.f64 N -4))
(.f64 1/4 (.f64 (pow.f64 N -2) (pow.f64 N -2)))
(.f64 (.f64 1/4 (pow.f64 N -4)) 1)
(.f64 (cbrt.f64 (.f64 1/4 (pow.f64 N -4))) (cbrt.f64 (/.f64 1/16 (pow.f64 N 8))))
(.f64 (cbrt.f64 (.f64 1/4 (pow.f64 N -4))) (.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2))) (*.f64 1/2 (pow.f64 N -2))))
(.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 N 8))) (cbrt.f64 (.f64 1/4 (pow.f64 N -4))))
(.f64 (/.f64 (sqrt.f64 1/2) N) (.f64 (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))))
(*.f64 -1/4 (/.f64 1 (neg.f64 (pow.f64 N 4))))
(*.f64 (pow.f64 N -4) 1/4)
(.f64 (.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N))
(.f64 (.f64 (*.f64 1/2 (pow.f64 N -2)) 1/2) (pow.f64 N -2))
(.f64 (.f64 (.f64 1/2 (pow.f64 N -2)) (cbrt.f64 (.f64 1/4 (pow.f64 N -4)))) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))))
(pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2)
(pow.f64 (*.f64 1/4 (pow.f64 N -4)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) 3)
(pow.f64 (*.f64 1/64 (pow.f64 (pow.f64 N -4) 3)) 1/3)
(pow.f64 (*.f64 (pow.f64 N 4) 4) -1)
(sqrt.f64 (/.f64 1/16 (pow.f64 N 8)))
(log.f64 (pow.f64 (exp.f64 1/4) (pow.f64 N -4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/4 (pow.f64 N -4)))))
(cbrt.f64 (*.f64 1/64 (pow.f64 (pow.f64 N -4) 3)))
(expm1.f64 (log1p.f64 (*.f64 1/4 (pow.f64 N -4))))
(exp.f64 (log.f64 (*.f64 1/4 (pow.f64 N -4))))
(exp.f64 (.f64 (log.f64 (.f64 1/4 (pow.f64 N -4))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/4 (pow.f64 N -4))))

simplify162.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1210×	`associate-r`
1176×	`associate-l`
1106×	`fma-def`
592×	`distribute-rgt-in`
570×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	800	19245
1	2128	17736

Stop Event

1×	node limit

Counts

456 → 489

Calls

Call 1

Inputs
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (+.f64 (.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
1
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
1
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (*.f64 -1 (log.f64 N)))
N
(+.f64 N (log.f64 (/.f64 1 N)))
(+.f64 N (log.f64 (/.f64 1 N)))
(+.f64 N (log.f64 (/.f64 1 N)))
N
(+.f64 N (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 N (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 N (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))
(/.f64 1/2 N)
(-.f64 (.f64 1/2 (/.f64 1 N)) (.f64 1/4 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/6 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 N))) (*.f64 1/4 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/6 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 N))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 N 4))) (.f64 1/4 (/.f64 1 (pow.f64 N 2)))))
(log.f64 (pow.f64 (sqrt.f64 -1) 2))
(-.f64 (log.f64 (pow.f64 (sqrt.f64 -1) 2)) (.f64 1/2 (/.f64 1 (.f64 N (pow.f64 (sqrt.f64 -1) 2)))))
(-.f64 (log.f64 (pow.f64 (sqrt.f64 -1) 2)) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 4)))) (.f64 1/2 (/.f64 1 (.f64 N (pow.f64 (sqrt.f64 -1) 2))))))
(-.f64 (log.f64 (pow.f64 (sqrt.f64 -1) 2)) (+.f64 (.f64 1/6 (/.f64 1 (.f64 (pow.f64 N 3) (pow.f64 (sqrt.f64 -1) 6)))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 4)))) (.f64 1/2 (/.f64 1 (.f64 N (pow.f64 (sqrt.f64 -1) 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 2 (log.f64 (pow.f64 (sqrt.f64 -1) 2)))
(-.f64 (.f64 2 (log.f64 (pow.f64 (sqrt.f64 -1) 2))) (/.f64 1 (.f64 N (pow.f64 (sqrt.f64 -1) 2))))
(-.f64 (.f64 2 (log.f64 (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 4)))) (/.f64 1 (.f64 N (pow.f64 (sqrt.f64 -1) 2)))))
(-.f64 (.f64 2 (log.f64 (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (.f64 1/3 (/.f64 1 (.f64 (pow.f64 N 3) (pow.f64 (sqrt.f64 -1) 6)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 4)))) (/.f64 1 (.f64 N (pow.f64 (sqrt.f64 -1) 2))))))
1
(+.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 (+.f64 1 (.f64 1/2 (/.f64 1 N))) (.f64 1/8 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 N)))) (*.f64 1/8 (/.f64 1 (pow.f64 N 2))))
(pow.f64 (sqrt.f64 -1) 2)
(-.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 1/2 (/.f64 1 N))))
(-.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 N 3) (pow.f64 (sqrt.f64 -1) 4)))) (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 1/2 (/.f64 1 N)))))
(/.f64 1 N)
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
1
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
1
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(/.f64 -1/4 (pow.f64 N 4))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))
(/.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 (.f64 1/2 (-.f64 (log1p.f64 N) (log.f64 N))) (.f64 1/2 (-.f64 (log1p.f64 N) (log.f64 N))))
(+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))
(+.f64 0 (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 0 (log.f64 (/.f64 N (+.f64 N 1))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1)
(-.f64 (log.f64 (+.f64 -1 (neg.f64 N))) (log.f64 (neg.f64 N)))
(*.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(.f64 (.f64 1/2 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
(.f64 2 (.f64 1/2 (-.f64 (log1p.f64 N) (log.f64 N))))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/2 (-.f64 (log1p.f64 N) (log.f64 N)))) 2) (.f64 (cbrt.f64 (.f64 1/2 (-.f64 (log1p.f64 N) (log.f64 N)))) 2))
(*.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 1/2 (-.f64 (log1p.f64 N) (log.f64 N)))) (.f64 (sqrt.f64 (.f64 1/2 (-.f64 (log1p.f64 N) (log.f64 N)))) 2))
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(.f64 (.f64 2 (pow.f64 (cbrt.f64 (.f64 1/2 (-.f64 (log1p.f64 N) (log.f64 N)))) 2)) (cbrt.f64 (.f64 1/2 (-.f64 (log1p.f64 N) (log.f64 N)))))
(.f64 (.f64 2 (sqrt.f64 (.f64 1/2 (-.f64 (log1p.f64 N) (log.f64 N))))) (sqrt.f64 (.f64 1/2 (-.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (.f64 (log1p.f64 N) (log1p.f64 N)) (+.f64 (pow.f64 (log.f64 N) 2) (.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (-.f64 (*.f64 (log1p.f64 N) (log1p.f64 N)) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1))
(log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 N 1) N))) 1)
(*.f64 1 (/.f64 (+.f64 N 1) N))
(*.f64 (+.f64 N 1) (/.f64 1 N))
(*.f64 (/.f64 (+.f64 N 1) N) 1)
(*.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)) (sqrt.f64 (/.f64 (+.f64 N 1) N)))
(*.f64 (/.f64 1 N) (+.f64 N 1))
(*.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2))
(.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))) (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2) (cbrt.f64 (/.f64 (+.f64 N 1) N)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (.f64 (cbrt.f64 (+.f64 N 1)) (/.f64 1 N)))
(.f64 (sqrt.f64 (+.f64 N 1)) (.f64 (sqrt.f64 (+.f64 N 1)) (/.f64 1 N)))
(.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 1/4) (.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 1/4) (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(*.f64 (pow.f64 N -1/2) (/.f64 (+.f64 N 1) (sqrt.f64 N)))
(*.f64 (+.f64 -1 (neg.f64 N)) (/.f64 1 (neg.f64 N)))
(.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)) (pow.f64 (/.f64 (+.f64 N 1) N) 1/4)) (pow.f64 (/.f64 (+.f64 N 1) N) 1/4))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (+.f64 N 1) (cbrt.f64 N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 N 1)) N))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (/.f64 (+.f64 N 1) N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (sqrt.f64 N)) (/.f64 (cbrt.f64 (+.f64 N 1)) (sqrt.f64 N)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) 1) (/.f64 (sqrt.f64 (+.f64 N 1)) N))
(*.f64 (/.f64 (sqrt.f64 (+.f64 N 1)) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (sqrt.f64 (+.f64 N 1)) (cbrt.f64 N)))
(.f64 (.f64 (+.f64 N 1) (cbrt.f64 (pow.f64 N -2))) (/.f64 1 (cbrt.f64 N)))
(.f64 (.f64 (+.f64 N 1) (pow.f64 N -1/2)) (pow.f64 N -1/2))
(.f64 (.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)) (cbrt.f64 (/.f64 (+.f64 N 1) N))) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(pow.f64 (/.f64 (+.f64 N 1) N) 1)
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(pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 3)
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(log1p.f64 (expm1.f64 (*.f64 1/2 (pow.f64 N -2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (pow.f64 N -3)))) 1)
(.f64 1 (.f64 1/3 (pow.f64 N -3)))
(*.f64 1/3 (pow.f64 N -3))
(.f64 (.f64 1/3 (pow.f64 N -3)) 1)
(*.f64 (/.f64 (cbrt.f64 1/3) N) (pow.f64 (/.f64 (cbrt.f64 1/3) N) 2))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 1/3) N) 2) (/.f64 (cbrt.f64 1/3) N))
(*.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)))
(*.f64 -1/3 (/.f64 1 (neg.f64 (pow.f64 N 3))))
(*.f64 (pow.f64 N -3) 1/3)
(pow.f64 (*.f64 1/3 (pow.f64 N -3)) 1)
(pow.f64 (/.f64 (cbrt.f64 1/3) N) 3)
(pow.f64 (/.f64 1/27 (pow.f64 (pow.f64 N 3) 3)) 1/3)
(pow.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) 2)
(pow.f64 (*.f64 (pow.f64 N 3) 3) -1)
(sqrt.f64 (/.f64 1/9 (pow.f64 N 6)))
(log.f64 (pow.f64 (exp.f64 1/3) (pow.f64 N -3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (pow.f64 N -3)))))
(cbrt.f64 (/.f64 1/27 (pow.f64 (pow.f64 N 3) 3)))
(expm1.f64 (log1p.f64 (*.f64 1/3 (pow.f64 N -3))))
(exp.f64 (log.f64 (*.f64 1/3 (pow.f64 N -3))))
(exp.f64 (.f64 (log.f64 (.f64 1/3 (pow.f64 N -3))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/3 (pow.f64 N -3))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/4 (pow.f64 N -4)))) 1)
(.f64 1 (.f64 1/4 (pow.f64 N -4)))
(.f64 1/2 (.f64 (pow.f64 N -2) (*.f64 1/2 (pow.f64 N -2))))
(.f64 (.f64 1/2 (pow.f64 N -2)) (*.f64 1/2 (pow.f64 N -2)))
(*.f64 1/4 (pow.f64 N -4))
(.f64 1/4 (.f64 (pow.f64 N -2) (pow.f64 N -2)))
(.f64 (.f64 1/4 (pow.f64 N -4)) 1)
(.f64 (cbrt.f64 (.f64 1/4 (pow.f64 N -4))) (cbrt.f64 (/.f64 1/16 (pow.f64 N 8))))
(.f64 (cbrt.f64 (.f64 1/4 (pow.f64 N -4))) (.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2))) (*.f64 1/2 (pow.f64 N -2))))
(.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 N 8))) (cbrt.f64 (.f64 1/4 (pow.f64 N -4))))
(.f64 (/.f64 (sqrt.f64 1/2) N) (.f64 (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))))
(*.f64 -1/4 (/.f64 1 (neg.f64 (pow.f64 N 4))))
(*.f64 (pow.f64 N -4) 1/4)
(.f64 (.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N))
(.f64 (.f64 (*.f64 1/2 (pow.f64 N -2)) 1/2) (pow.f64 N -2))
(.f64 (.f64 (.f64 1/2 (pow.f64 N -2)) (cbrt.f64 (.f64 1/4 (pow.f64 N -4)))) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))))
(pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2)
(pow.f64 (*.f64 1/4 (pow.f64 N -4)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) 3)
(pow.f64 (*.f64 1/64 (pow.f64 (pow.f64 N -4) 3)) 1/3)
(pow.f64 (*.f64 (pow.f64 N 4) 4) -1)
(sqrt.f64 (/.f64 1/16 (pow.f64 N 8)))
(log.f64 (pow.f64 (exp.f64 1/4) (pow.f64 N -4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/4 (pow.f64 N -4)))))
(cbrt.f64 (*.f64 1/64 (pow.f64 (pow.f64 N -4) 3)))
(expm1.f64 (log1p.f64 (*.f64 1/4 (pow.f64 N -4))))
(exp.f64 (log.f64 (*.f64 1/4 (pow.f64 N -4))))
(exp.f64 (.f64 (log.f64 (.f64 1/4 (pow.f64 N -4))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/4 (pow.f64 N -4))))

Outputs
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (+.f64 (.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 (fma.f64 -1/2 (pow.f64 N 2) (neg.f64 (log.f64 N))))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (+.f64 (.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(+.f64 (-.f64 N (log.f64 N)) (fma.f64 -1/2 (pow.f64 N 2) (*.f64 1/3 (pow.f64 N 3))))
(+.f64 (fma.f64 -1/2 (pow.f64 N 2) (*.f64 1/3 (pow.f64 N 3))) (-.f64 N (log.f64 N)))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.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 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/4 (pow.f64 N 4)))) (/.f64 -1/2 (pow.f64 N 2)))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 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 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/4 (pow.f64 N 4)))) (/.f64 -1/2 (pow.f64 N 2)))
(/.f64 1 N)
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
1
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
1
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(-.f64 N (log.f64 N))
N
(+.f64 N (log.f64 (/.f64 1 N)))
(-.f64 N (log.f64 N))
(+.f64 N (log.f64 (/.f64 1 N)))
(-.f64 N (log.f64 N))
(+.f64 N (log.f64 (/.f64 1 N)))
(-.f64 N (log.f64 N))
N
(+.f64 N (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 N (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))))
(-.f64 N (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))
(+.f64 N (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 N (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))))
(-.f64 N (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))
(+.f64 N (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))
(+.f64 N (neg.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))))
(-.f64 N (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))
(/.f64 1/2 N)
(-.f64 (.f64 1/2 (/.f64 1 N)) (.f64 1/4 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1/2 N) (/.f64 1/4 (pow.f64 N 2)))
(+.f64 (/.f64 1/2 N) (/.f64 -1/4 (pow.f64 N 2)))
(-.f64 (+.f64 (.f64 1/6 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 N))) (*.f64 1/4 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/6 (pow.f64 N 3)) (-.f64 (/.f64 1/2 N) (/.f64 1/4 (pow.f64 N 2))))
(+.f64 (/.f64 1/2 N) (+.f64 (/.f64 1/6 (pow.f64 N 3)) (/.f64 -1/4 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/6 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 N))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 N 4))) (.f64 1/4 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.f64 1/2 N) (/.f64 1/6 (pow.f64 N 3))) (+.f64 (/.f64 1/4 (pow.f64 N 2)) (/.f64 1/8 (pow.f64 N 4))))
(+.f64 (/.f64 1/6 (pow.f64 N 3)) (-.f64 (/.f64 1/2 N) (+.f64 (/.f64 1/8 (pow.f64 N 4)) (/.f64 1/4 (pow.f64 N 2)))))
(log.f64 (pow.f64 (sqrt.f64 -1) 2))
(*.f64 2 (log.f64 (sqrt.f64 -1)))
(log.f64 -1)
(-.f64 (log.f64 (pow.f64 (sqrt.f64 -1) 2)) (.f64 1/2 (/.f64 1 (.f64 N (pow.f64 (sqrt.f64 -1) 2)))))
(-.f64 (.f64 2 (log.f64 (sqrt.f64 -1))) (/.f64 1/2 (.f64 N (pow.f64 (sqrt.f64 -1) 2))))
(+.f64 (log.f64 -1) (/.f64 -1/2 (neg.f64 N)))
(-.f64 (log.f64 (pow.f64 (sqrt.f64 -1) 2)) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 4)))) (.f64 1/2 (/.f64 1 (.f64 N (pow.f64 (sqrt.f64 -1) 2))))))
(-.f64 (.f64 2 (log.f64 (sqrt.f64 -1))) (+.f64 (/.f64 1/2 (.f64 N (pow.f64 (sqrt.f64 -1) 2))) (/.f64 1/4 (*.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 4)))))
(+.f64 (log.f64 -1) (+.f64 (/.f64 -1/4 (pow.f64 N 2)) (/.f64 -1/2 (neg.f64 N))))
(-.f64 (log.f64 (pow.f64 (sqrt.f64 -1) 2)) (+.f64 (.f64 1/6 (/.f64 1 (.f64 (pow.f64 N 3) (pow.f64 (sqrt.f64 -1) 6)))) (+.f64 (.f64 1/4 (/.f64 1 (.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 4)))) (.f64 1/2 (/.f64 1 (.f64 N (pow.f64 (sqrt.f64 -1) 2)))))))
(-.f64 (.f64 2 (log.f64 (sqrt.f64 -1))) (+.f64 (+.f64 (/.f64 1/2 (.f64 N (pow.f64 (sqrt.f64 -1) 2))) (/.f64 1/4 (.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 4)))) (/.f64 1/6 (.f64 (pow.f64 N 3) (pow.f64 (sqrt.f64 -1) 6)))))
(+.f64 (-.f64 (log.f64 -1) (/.f64 1/6 (*.f64 (pow.f64 N 3) (pow.f64 (sqrt.f64 -1) 6)))) (+.f64 (/.f64 -1/4 (pow.f64 N 2)) (/.f64 -1/2 (neg.f64 N))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (+.f64 (/.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 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/4 (pow.f64 N 4)))) (/.f64 -1/2 (pow.f64 N 2)))
(*.f64 2 (log.f64 (pow.f64 (sqrt.f64 -1) 2)))
(.f64 2 (.f64 2 (log.f64 (sqrt.f64 -1))))
(*.f64 2 (log.f64 -1))
(-.f64 (.f64 2 (log.f64 (pow.f64 (sqrt.f64 -1) 2))) (/.f64 1 (.f64 N (pow.f64 (sqrt.f64 -1) 2))))
(-.f64 (.f64 2 (.f64 2 (log.f64 (sqrt.f64 -1)))) (/.f64 1 (*.f64 N (pow.f64 (sqrt.f64 -1) 2))))
(fma.f64 2 (log.f64 -1) (/.f64 -1 (neg.f64 N)))
(-.f64 (.f64 2 (log.f64 (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 4)))) (/.f64 1 (.f64 N (pow.f64 (sqrt.f64 -1) 2)))))
(-.f64 (.f64 2 (.f64 2 (log.f64 (sqrt.f64 -1)))) (+.f64 (/.f64 1 (.f64 N (pow.f64 (sqrt.f64 -1) 2))) (/.f64 1/2 (.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 4)))))
(+.f64 (fma.f64 2 (log.f64 -1) (/.f64 -1/2 (pow.f64 N 2))) (/.f64 -1 (neg.f64 N)))
(-.f64 (.f64 2 (log.f64 (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (.f64 1/3 (/.f64 1 (.f64 (pow.f64 N 3) (pow.f64 (sqrt.f64 -1) 6)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 4)))) (/.f64 1 (.f64 N (pow.f64 (sqrt.f64 -1) 2))))))
(-.f64 (-.f64 (.f64 2 (.f64 2 (log.f64 (sqrt.f64 -1)))) (/.f64 1/3 (.f64 (pow.f64 N 3) (pow.f64 (sqrt.f64 -1) 6)))) (+.f64 (/.f64 1 (.f64 N (pow.f64 (sqrt.f64 -1) 2))) (/.f64 1/2 (*.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 4)))))
(-.f64 (+.f64 (fma.f64 2 (log.f64 -1) (/.f64 -1/2 (pow.f64 N 2))) (/.f64 -1 (neg.f64 N))) (/.f64 1/3 (*.f64 (pow.f64 N 3) (pow.f64 (sqrt.f64 -1) 6))))
1
(+.f64 1 (*.f64 1/2 (/.f64 1 N)))
(+.f64 1 (/.f64 1/2 N))
(-.f64 (+.f64 1 (.f64 1/2 (/.f64 1 N))) (.f64 1/8 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 1 (/.f64 1/2 N)) (/.f64 1/8 (pow.f64 N 2)))
(+.f64 1 (+.f64 (/.f64 1/2 N) (/.f64 -1/8 (pow.f64 N 2))))
(-.f64 (+.f64 1 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 N)))) (*.f64 1/8 (/.f64 1 (pow.f64 N 2))))
(+.f64 1 (-.f64 (+.f64 (/.f64 1/2 N) (/.f64 1/16 (pow.f64 N 3))) (/.f64 1/8 (pow.f64 N 2))))
(+.f64 1 (+.f64 (/.f64 1/2 N) (-.f64 (/.f64 1/16 (pow.f64 N 3)) (/.f64 1/8 (pow.f64 N 2)))))
(pow.f64 (sqrt.f64 -1) 2)
-1
(-.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 1/2 N))
(+.f64 -1 (/.f64 -1/2 N))
(-.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 1/2 (/.f64 1 N))))
(-.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (/.f64 1/2 N) (/.f64 1/8 (*.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 2)))))
(+.f64 (-.f64 -1 (/.f64 1/8 (neg.f64 (pow.f64 N 2)))) (/.f64 -1/2 N))
(-.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (.f64 1/16 (/.f64 1 (.f64 (pow.f64 N 3) (pow.f64 (sqrt.f64 -1) 4)))) (+.f64 (.f64 1/8 (/.f64 1 (.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 1/2 (/.f64 1 N)))))
(-.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (+.f64 (/.f64 1/2 N) (/.f64 1/8 (.f64 (pow.f64 N 2) (pow.f64 (sqrt.f64 -1) 2)))) (/.f64 1/16 (.f64 (pow.f64 N 3) (pow.f64 (sqrt.f64 -1) 4)))))
(-.f64 (-.f64 (-.f64 -1 (/.f64 1/16 (pow.f64 N 3))) (/.f64 1/2 N)) (/.f64 1/8 (neg.f64 (pow.f64 N 2))))
(/.f64 1 N)
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
1
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
1
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(/.f64 -1/4 (pow.f64 N 4))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/4 (pow.f64 N 4)))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/4 (pow.f64 N 4)))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))
(-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 -1/4 (pow.f64 N 4)) (/.f64 -1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (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 (+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/4 (pow.f64 N 4)))) (/.f64 -1/2 (pow.f64 N 2)))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(+.f64 (/.f64 1 N) (/.f64 -1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
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(+.f64 (/.f64 1 N) (-.f64 (.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (.f64 1/4 (pow.f64 N -4)))))
(fma.f64 -1/4 (pow.f64 N -4) (fma.f64 -1/2 (pow.f64 N -2) (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))))
(exp.f64 (log.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(+.f64 (/.f64 1 N) (-.f64 (.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (.f64 1/4 (pow.f64 N -4)))))
(fma.f64 -1/4 (pow.f64 N -4) (fma.f64 -1/2 (pow.f64 N -2) (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))))
(exp.f64 (.f64 (log.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (.f64 1/4 (pow.f64 N -4))))) 1))
(+.f64 (/.f64 1 N) (-.f64 (.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (.f64 1/4 (pow.f64 N -4)))))
(fma.f64 -1/4 (pow.f64 N -4) (fma.f64 -1/2 (pow.f64 N -2) (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))))
(log1p.f64 (expm1.f64 (-.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(+.f64 (/.f64 1 N) (-.f64 (.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (.f64 1/4 (pow.f64 N -4)))))
(fma.f64 -1/4 (pow.f64 N -4) (fma.f64 -1/2 (pow.f64 N -2) (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))))
(fma.f64 1 (/.f64 1 N) (-.f64 (.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (.f64 1/4 (pow.f64 N -4)))))
(+.f64 (/.f64 1 N) (-.f64 (.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (.f64 1/4 (pow.f64 N -4)))))
(fma.f64 -1/4 (pow.f64 N -4) (fma.f64 -1/2 (pow.f64 N -2) (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))))
(fma.f64 1 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N)) (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(+.f64 (/.f64 1 N) (-.f64 (.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (.f64 1/4 (pow.f64 N -4)))))
(fma.f64 -1/4 (pow.f64 N -4) (fma.f64 -1/2 (pow.f64 N -2) (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (-.f64 (.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (.f64 1/4 (pow.f64 N -4)))))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (fma.f64 1/3 (pow.f64 N -3) (fma.f64 -1/2 (pow.f64 N -2) (*.f64 -1/4 (pow.f64 N -4)))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) 2) (cbrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(+.f64 (/.f64 1 N) (-.f64 (.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (.f64 1/4 (pow.f64 N -4)))))
(fma.f64 -1/4 (pow.f64 N -4) (fma.f64 -1/2 (pow.f64 N -2) (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))))
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (-.f64 (.f64 1/3 (pow.f64 N -3)) (fma.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)) (fma.f64 1/2 (pow.f64 N -2) (.f64 1/4 (pow.f64 N -4)))))
(fma.f64 -1/4 (pow.f64 N -4) (fma.f64 -1/2 (pow.f64 N -2) (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))))
(fma.f64 (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (sqrt.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))) (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(+.f64 (/.f64 1 N) (-.f64 (.f64 1/3 (pow.f64 N -3)) (fma.f64 1/2 (pow.f64 N -2) (.f64 1/4 (pow.f64 N -4)))))
(fma.f64 -1/4 (pow.f64 N -4) (fma.f64 -1/2 (pow.f64 N -2) (fma.f64 1/3 (pow.f64 N -3) (/.f64 1 N))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (pow.f64 N -2)))) 1)
(*.f64 1/2 (pow.f64 N -2))
(.f64 1 (.f64 1/2 (pow.f64 N -2)))
(*.f64 1/2 (pow.f64 N -2))
(*.f64 1/2 (pow.f64 N -2))
(*.f64 1/2 (sqrt.f64 (pow.f64 N -4)))
(*.f64 1/2 (pow.f64 N -2))
(.f64 (.f64 1/2 (pow.f64 N -2)) 1)
(*.f64 1/2 (pow.f64 N -2))
(.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2))) (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))))
(.f64 (cbrt.f64 (.f64 1/4 (pow.f64 N -4))) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))))
(.f64 (cbrt.f64 (.f64 1/4 (pow.f64 N -4))) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))))
(*.f64 (/.f64 (sqrt.f64 1/2) N) (/.f64 (sqrt.f64 1/2) N))
(pow.f64 (/.f64 (sqrt.f64 1/2) N) 2)
(*.f64 -1/2 (/.f64 1 (neg.f64 (pow.f64 N 2))))
(/.f64 -1/2 (neg.f64 (pow.f64 N 2)))
(*.f64 (pow.f64 N -2) 1/2)
(*.f64 1/2 (pow.f64 N -2))
(.f64 (sqrt.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 N 8)))) (sqrt.f64 (cbrt.f64 (.f64 1/4 (pow.f64 N -4)))))
(pow.f64 (*.f64 1/2 (pow.f64 N -2)) 1)
(*.f64 1/2 (pow.f64 N -2))
(pow.f64 (*.f64 1/4 (pow.f64 N -4)) 1/2)
(*.f64 1/2 (pow.f64 N -2))
(pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) 3)
(*.f64 1/2 (pow.f64 N -2))
(pow.f64 (/.f64 1/8 (pow.f64 N 6)) 1/3)
(cbrt.f64 (/.f64 1/8 (pow.f64 N 6)))
(pow.f64 (/.f64 (sqrt.f64 1/2) N) 2)
(pow.f64 (*.f64 (pow.f64 N 2) 2) -1)
(/.f64 1 (*.f64 2 (pow.f64 N 2)))
(sqrt.f64 (*.f64 1/4 (pow.f64 N -4)))
(*.f64 1/2 (pow.f64 N -2))
(fabs.f64 (*.f64 1/2 (pow.f64 N -2)))
(*.f64 1/2 (pow.f64 N -2))
(log.f64 (pow.f64 (exp.f64 1/2) (pow.f64 N -2)))
(*.f64 1/2 (pow.f64 N -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (pow.f64 N -2)))))
(*.f64 1/2 (pow.f64 N -2))
(cbrt.f64 (/.f64 1/8 (pow.f64 N 6)))
(expm1.f64 (log1p.f64 (*.f64 1/2 (pow.f64 N -2))))
(*.f64 1/2 (pow.f64 N -2))
(exp.f64 (log.f64 (*.f64 1/2 (pow.f64 N -2))))
(*.f64 1/2 (pow.f64 N -2))
(exp.f64 (.f64 (log.f64 (.f64 1/2 (pow.f64 N -2))) 1))
(*.f64 1/2 (pow.f64 N -2))
(log1p.f64 (expm1.f64 (*.f64 1/2 (pow.f64 N -2))))
(*.f64 1/2 (pow.f64 N -2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (pow.f64 N -3)))) 1)
(*.f64 1/3 (pow.f64 N -3))
(.f64 1 (.f64 1/3 (pow.f64 N -3)))
(*.f64 1/3 (pow.f64 N -3))
(*.f64 1/3 (pow.f64 N -3))
(.f64 (.f64 1/3 (pow.f64 N -3)) 1)
(*.f64 1/3 (pow.f64 N -3))
(*.f64 (/.f64 (cbrt.f64 1/3) N) (pow.f64 (/.f64 (cbrt.f64 1/3) N) 2))
(pow.f64 (/.f64 (cbrt.f64 1/3) N) 3)
(/.f64 1/3 (pow.f64 N 3))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 1/3) N) 2) (/.f64 (cbrt.f64 1/3) N))
(pow.f64 (/.f64 (cbrt.f64 1/3) N) 3)
(/.f64 1/3 (pow.f64 N 3))
(*.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)))
(pow.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) 2)
(*.f64 -1/3 (/.f64 1 (neg.f64 (pow.f64 N 3))))
(/.f64 -1/3 (neg.f64 (pow.f64 N 3)))
(*.f64 (pow.f64 N -3) 1/3)
(*.f64 1/3 (pow.f64 N -3))
(pow.f64 (*.f64 1/3 (pow.f64 N -3)) 1)
(*.f64 1/3 (pow.f64 N -3))
(pow.f64 (/.f64 (cbrt.f64 1/3) N) 3)
(/.f64 1/3 (pow.f64 N 3))
(pow.f64 (/.f64 1/27 (pow.f64 (pow.f64 N 3) 3)) 1/3)
(cbrt.f64 (/.f64 1/27 (pow.f64 (pow.f64 N 3) 3)))
(pow.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) 2)
(pow.f64 (*.f64 (pow.f64 N 3) 3) -1)
(/.f64 1 (*.f64 3 (pow.f64 N 3)))
(sqrt.f64 (/.f64 1/9 (pow.f64 N 6)))
(log.f64 (pow.f64 (exp.f64 1/3) (pow.f64 N -3)))
(*.f64 1/3 (pow.f64 N -3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (pow.f64 N -3)))))
(*.f64 1/3 (pow.f64 N -3))
(cbrt.f64 (/.f64 1/27 (pow.f64 (pow.f64 N 3) 3)))
(expm1.f64 (log1p.f64 (*.f64 1/3 (pow.f64 N -3))))
(*.f64 1/3 (pow.f64 N -3))
(exp.f64 (log.f64 (*.f64 1/3 (pow.f64 N -3))))
(*.f64 1/3 (pow.f64 N -3))
(exp.f64 (.f64 (log.f64 (.f64 1/3 (pow.f64 N -3))) 1))
(*.f64 1/3 (pow.f64 N -3))
(log1p.f64 (expm1.f64 (*.f64 1/3 (pow.f64 N -3))))
(*.f64 1/3 (pow.f64 N -3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/4 (pow.f64 N -4)))) 1)
(*.f64 1/4 (pow.f64 N -4))
(.f64 1 (.f64 1/4 (pow.f64 N -4)))
(*.f64 1/4 (pow.f64 N -4))
(.f64 1/2 (.f64 (pow.f64 N -2) (*.f64 1/2 (pow.f64 N -2))))
(*.f64 1/4 (pow.f64 N -4))
(.f64 (.f64 1/2 (pow.f64 N -2)) (*.f64 1/2 (pow.f64 N -2)))
(*.f64 1/4 (pow.f64 N -4))
(*.f64 1/4 (pow.f64 N -4))
(.f64 1/4 (.f64 (pow.f64 N -2) (pow.f64 N -2)))
(*.f64 1/4 (pow.f64 N -4))
(.f64 (.f64 1/4 (pow.f64 N -4)) 1)
(*.f64 1/4 (pow.f64 N -4))
(.f64 (cbrt.f64 (.f64 1/4 (pow.f64 N -4))) (cbrt.f64 (/.f64 1/16 (pow.f64 N 8))))
(.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 N 8))) (cbrt.f64 (.f64 1/4 (pow.f64 N -4))))
(.f64 (cbrt.f64 (.f64 1/4 (pow.f64 N -4))) (.f64 (cbrt.f64 (.f64 1/2 (pow.f64 N -2))) (*.f64 1/2 (pow.f64 N -2))))
(.f64 (cbrt.f64 (.f64 1/4 (pow.f64 N -4))) (.f64 (.f64 1/2 (pow.f64 N -2)) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))))
(.f64 (cbrt.f64 (.f64 1/4 (pow.f64 N -4))) (pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) 4))
(.f64 (cbrt.f64 (/.f64 1/16 (pow.f64 N 8))) (cbrt.f64 (.f64 1/4 (pow.f64 N -4))))
(.f64 (/.f64 (sqrt.f64 1/2) N) (.f64 (/.f64 (sqrt.f64 1/2) N) (*.f64 1/2 (pow.f64 N -2))))
(.f64 (.f64 1/2 (pow.f64 N -2)) (pow.f64 (/.f64 (sqrt.f64 1/2) N) 2))
(.f64 1/2 (.f64 (pow.f64 N -2) (pow.f64 (/.f64 (sqrt.f64 1/2) N) 2)))
(*.f64 -1/4 (/.f64 1 (neg.f64 (pow.f64 N 4))))
(/.f64 -1/4 (neg.f64 (pow.f64 N 4)))
(*.f64 (pow.f64 N -4) 1/4)
(*.f64 1/4 (pow.f64 N -4))
(.f64 (.f64 (*.f64 1/2 (pow.f64 N -2)) (/.f64 (sqrt.f64 1/2) N)) (/.f64 (sqrt.f64 1/2) N))
(.f64 (.f64 1/2 (pow.f64 N -2)) (pow.f64 (/.f64 (sqrt.f64 1/2) N) 2))
(.f64 1/2 (.f64 (pow.f64 N -2) (pow.f64 (/.f64 (sqrt.f64 1/2) N) 2)))
(.f64 (.f64 (*.f64 1/2 (pow.f64 N -2)) 1/2) (pow.f64 N -2))
(*.f64 1/4 (pow.f64 N -4))
(.f64 (.f64 (.f64 1/2 (pow.f64 N -2)) (cbrt.f64 (.f64 1/4 (pow.f64 N -4)))) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))))
(.f64 (cbrt.f64 (.f64 1/4 (pow.f64 N -4))) (.f64 (.f64 1/2 (pow.f64 N -2)) (cbrt.f64 (*.f64 1/2 (pow.f64 N -2)))))
(.f64 (cbrt.f64 (.f64 1/4 (pow.f64 N -4))) (pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 N -2))) 4))
(pow.f64 (*.f64 1/2 (pow.f64 N -2)) 2)
(*.f64 1/4 (pow.f64 N -4))
(pow.f64 (*.f64 1/4 (pow.f64 N -4)) 1)
(*.f64 1/4 (pow.f64 N -4))
(pow.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 N -4))) 3)
(*.f64 1/4 (pow.f64 N -4))
(pow.f64 (*.f64 1/64 (pow.f64 (pow.f64 N -4) 3)) 1/3)
(cbrt.f64 (*.f64 1/64 (pow.f64 (pow.f64 N -4) 3)))
(pow.f64 (*.f64 (pow.f64 N 4) 4) -1)
(/.f64 1 (*.f64 4 (pow.f64 N 4)))
(sqrt.f64 (/.f64 1/16 (pow.f64 N 8)))
(log.f64 (pow.f64 (exp.f64 1/4) (pow.f64 N -4)))
(*.f64 1/4 (pow.f64 N -4))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/4 (pow.f64 N -4)))))
(*.f64 1/4 (pow.f64 N -4))
(cbrt.f64 (*.f64 1/64 (pow.f64 (pow.f64 N -4) 3)))
(expm1.f64 (log1p.f64 (*.f64 1/4 (pow.f64 N -4))))
(*.f64 1/4 (pow.f64 N -4))
(exp.f64 (log.f64 (*.f64 1/4 (pow.f64 N -4))))
(*.f64 1/4 (pow.f64 N -4))
(exp.f64 (.f64 (log.f64 (.f64 1/4 (pow.f64 N -4))) 1))
(*.f64 1/4 (pow.f64 N -4))
(log1p.f64 (expm1.f64 (*.f64 1/4 (pow.f64 N -4))))
(*.f64 1/4 (pow.f64 N -4))

eval312.0ms (2.7%)

Compiler: Compiled 11816 to 9074 computations (23.2% saved)

prune86.0ms (0.7%)

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	545	3	548
Fresh	1	3	4
Picked	0	5	5
Done	0	0	0
Total	546	11	557

Accuracy

100.0%

Counts

557 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	47.6%	(/.f64 1 N)
▶	45.5%	(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
✓	45.6%	(-.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))))
✓	55.5%	(-.f64 N (log.f64 N))
▶	46.8%	(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
▶	57.9%	(*.f64 2 (+.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))))
✓	58.2%	(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
▶	58.3%	(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
▶	54.3%	(neg.f64 (log.f64 N))
✓	58.2%	(log.f64 (/.f64 (+.f64 N 1) N))
	4.7%	N
✓	47.6%	(/.f64 1 N)
▶	45.5%	(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
✓	45.6%	(-.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))))
✓	55.5%	(-.f64 N (log.f64 N))
▶	46.8%	(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
▶	57.9%	(*.f64 2 (+.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))))
✓	58.2%	(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
▶	58.3%	(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
▶	54.3%	(neg.f64 (log.f64 N))
✓	58.2%	(log.f64 (/.f64 (+.f64 N 1) N))
	4.7%	N

Compiler

Compiled 328 to 256 computations (22% saved)

localize801.0ms (7%)

Localize:

Found 12 expressions with local error:

New	Accuracy	Program
✓	97.2%	(*.f64 2 (+.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))))
✓	96.8%	(+.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))))
✓	88.6%	(log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))
✓	88.6%	(log.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
	99.5%	(/.f64 1/3 (pow.f64 N 3))
✓	99.2%	(/.f64 -1/2 (pow.f64 N 2))
✓	79.8%	(+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2)))
✓	100.0%	(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
	99.2%	(/.f64 1/2 (pow.f64 N 2))
✓	100.0%	(/.f64 N (+.f64 N 1))
✓	96.9%	(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
✓	88.7%	(log.f64 (/.f64 N (+.f64 N 1)))

Compiler

Compiled 185 to 134 computations (27.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 484.0ms

Operation ival-add, time spent: 138.0ms, 29.0% of total-time

Operation ival-div, time spent: 106.0ms, 22.0% of total-time

Operation ival-log, time spent: 88.0ms, 18.0% of total-time

Operation ival-pow, time spent: 56.0ms, 12.0% of total-time

Operation ival-cbrt, time spent: 29.0ms, 6.0% of total-time

Operation ival-sqrt, time spent: 28.0ms, 6.0% of total-time

Operation const, time spent: 23.0ms, 5.0% of total-time

Operation ival-sub, time spent: 8.0ms, 2.0% of total-time

Operation ival-neg, time spent: 4.0ms, 1.0% of total-time

Operation ival-mult, time spent: 3.0ms, 1.0% of total-time

series20.0ms (0.2%)

Counts

10 → 96

Calls

30 calls:

Time	Variable		Point	Expression
4.0ms	N	@	0	(*.f64 2 (+.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))))
3.0ms	N	@	-inf	(+.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)))))
2.0ms	N	@	-inf	(log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)))
1.0ms	N	@	-inf	(log.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
1.0ms	N	@	0	(log.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))

rewrite230.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

648×	`expm1-udef`
340×	`associate-r`
226×	`log1p-expm1-u`
226×	`expm1-log1p-u`
224×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	289
1	514	245
2	7583	245

Stop Event

1×	node limit

Counts

10 → 461

Calls

Call 1

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

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

simplify232.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1596×	`fma-def`
834×	`times-frac`
438×	`distribute-rgt-in`
434×	`distribute-lft-in`
380×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1024	26825
1	2832	24837

Stop Event

1×	node limit

Counts

557 → 669

Calls

Call 1

Inputs
(log.f64 N)
(+.f64 (log.f64 N) (*.f64 -1 N))
(+.f64 (log.f64 N) (+.f64 (.f64 -1 N) (.f64 1/2 (pow.f64 N 2))))
(+.f64 (log.f64 N) (+.f64 (.f64 -1 N) (+.f64 (.f64 -1/3 (pow.f64 N 3)) (*.f64 1/2 (pow.f64 N 2)))))
(/.f64 -1 N)
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
(-.f64 (.f64 1/2 (/.f64 1 (pow.f64 N 2))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (.f64 1/2 (/.f64 1 (pow.f64 N 2)))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))
(/.f64 -1 N)
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
(-.f64 (.f64 1/2 (/.f64 1 (pow.f64 N 2))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (.f64 1/2 (/.f64 1 (pow.f64 N 2)))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))
(*.f64 -1 (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 (pow.f64 N 2)))
(+.f64 N (+.f64 (*.f64 -1 (pow.f64 N 2)) (pow.f64 N 3)))
(+.f64 N (+.f64 (.f64 -1 (pow.f64 N 2)) (+.f64 (.f64 -1 (pow.f64 N 4)) (pow.f64 N 3))))
1
(-.f64 1 (/.f64 1 N))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 N 2))) (+.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 3))))
1
(-.f64 1 (/.f64 1 N))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 N 2))) (+.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 3))))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1/3 (pow.f64 N 3))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.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))))
(log.f64 (pow.f64 N -1/6))
(+.f64 (log.f64 (pow.f64 N -1/6)) (.f64 1/6 (.f64 (pow.f64 1 1/3) N)))
(+.f64 (log.f64 (pow.f64 N -1/6)) (+.f64 (.f64 1/6 (.f64 (pow.f64 1 1/3) N)) (.f64 1/2 (.f64 (pow.f64 N 2) (+.f64 (.f64 -5/36 (pow.f64 1 1/3)) (.f64 -1/36 (pow.f64 1 1/3)))))))
(+.f64 (log.f64 (pow.f64 N -1/6)) (+.f64 (.f64 1/6 (.f64 (pow.f64 1 1/3) N)) (+.f64 (.f64 1/6 (.f64 (pow.f64 N 3) (+.f64 1/108 (+.f64 (.f64 5/72 (pow.f64 1 1/3)) (.f64 55/216 (pow.f64 1 1/3)))))) (.f64 1/2 (.f64 (pow.f64 N 2) (+.f64 (.f64 -5/36 (pow.f64 1 1/3)) (.f64 -1/36 (pow.f64 1 1/3))))))))
(/.f64 1/6 N)
(-.f64 (.f64 1/6 (/.f64 1 N)) (.f64 1/12 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/18 (/.f64 1 (pow.f64 N 3))) (.f64 1/6 (/.f64 1 N))) (*.f64 1/12 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/18 (/.f64 1 (pow.f64 N 3))) (.f64 1/6 (/.f64 1 N))) (+.f64 (.f64 1/24 (/.f64 1 (pow.f64 N 4))) (.f64 1/12 (/.f64 1 (pow.f64 N 2)))))
(log.f64 (.f64 (pow.f64 -1 1/6) (pow.f64 (.f64 1 (sqrt.f64 -1)) 1/3)))
(+.f64 (log.f64 (.f64 (pow.f64 -1 1/6) (pow.f64 (.f64 1 (sqrt.f64 -1)) 1/3))) (*.f64 1/6 (/.f64 1 N)))
(+.f64 (log.f64 (.f64 (pow.f64 -1 1/6) (pow.f64 (.f64 1 (sqrt.f64 -1)) 1/3))) (+.f64 (.f64 1/6 (/.f64 1 N)) (.f64 1/2 (/.f64 (-.f64 (*.f64 -1/36 (pow.f64 1 1/3)) 5/36) (pow.f64 N 2)))))
(+.f64 (log.f64 (.f64 (pow.f64 -1 1/6) (pow.f64 (.f64 1 (sqrt.f64 -1)) 1/3))) (+.f64 (.f64 -1/6 (/.f64 (-.f64 (+.f64 (.f64 -5/72 (pow.f64 1 1/3)) (.f64 -1/108 (pow.f64 (sqrt.f64 -1) 2))) 55/216) (pow.f64 N 3))) (+.f64 (.f64 1/6 (/.f64 1 N)) (.f64 1/2 (/.f64 (-.f64 (.f64 -1/36 (pow.f64 1 1/3)) 5/36) (pow.f64 N 2))))))
(/.f64 1/3 N)
(-.f64 (.f64 1/3 (/.f64 1 N)) (.f64 1/6 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 N 3))) (.f64 1/3 (/.f64 1 N))) (*.f64 1/6 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/9 (/.f64 1 (pow.f64 N 3))) (.f64 1/3 (/.f64 1 N))) (+.f64 (.f64 1/12 (/.f64 1 (pow.f64 N 4))) (.f64 1/6 (/.f64 1 (pow.f64 N 2)))))
(log.f64 (pow.f64 (cbrt.f64 -1) 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 2)) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (/.f64 1 N))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 2)) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (/.f64 1 N))) (.f64 1/2 (/.f64 (+.f64 (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3)) (*.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3))) (pow.f64 N 2)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 -1) 2)) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (/.f64 1 N))) (+.f64 (.f64 -1/6 (/.f64 (+.f64 (.f64 2/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) (+.f64 (.f64 2/9 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) (.f64 2 (+.f64 (.f64 -2/9 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))))) (pow.f64 N 3))) (.f64 1/2 (/.f64 (+.f64 (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3)) (*.f64 -1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 10)) 1/3))) (pow.f64 N 2))))))
(/.f64 1/2 N)
(-.f64 (.f64 1/2 (/.f64 1 N)) (.f64 1/4 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/6 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 N))) (*.f64 1/4 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/6 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 N))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 N 4))) (.f64 1/4 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (log.f64 (.f64 (pow.f64 -1 1/6) (pow.f64 (.f64 1 (sqrt.f64 -1)) 1/3))) (log.f64 (pow.f64 (cbrt.f64 -1) 2)))
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(/.f64 1 (/.f64 (log.f64 (/.f64 (cbrt.f64 (/.f64 N (+.f64 N 1))) (pow.f64 (/.f64 N (+.f64 N 1)) 1/6))) (-.f64 (pow.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (pow.f64 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6)) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 3) (pow.f64 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6)) 3)) (+.f64 (pow.f64 (.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (.f64 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6)) (-.f64 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6)) (.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))))))
(/.f64 (+.f64 (pow.f64 (.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 3) (pow.f64 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6)) 3)) (+.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6)) 2) (-.f64 (pow.f64 (.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (.f64 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6)) (.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (pow.f64 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6)) 2)) (log.f64 (/.f64 (cbrt.f64 (/.f64 N (+.f64 N 1))) (pow.f64 (/.f64 N (+.f64 N 1)) 1/6))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 3) (pow.f64 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6)) 3))) (neg.f64 (+.f64 (pow.f64 (.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (.f64 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6)) (-.f64 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6)) (.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (pow.f64 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6)) 2))) (neg.f64 (log.f64 (/.f64 (cbrt.f64 (/.f64 N (+.f64 N 1))) (pow.f64 (/.f64 N (+.f64 N 1)) 1/6)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6)) 2) (pow.f64 (.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) (-.f64 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6)) (.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))))
(pow.f64 (*.f64 1/2 (-.f64 (log1p.f64 N) (log.f64 N))) 1)
(pow.f64 (cbrt.f64 (*.f64 1/2 (-.f64 (log1p.f64 N) (log.f64 N)))) 3)
(pow.f64 (pow.f64 (*.f64 1/2 (-.f64 (log1p.f64 N) (log.f64 N))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/2 (-.f64 (log1p.f64 N) (log.f64 N)))) 2)
(sqrt.f64 (pow.f64 (*.f64 1/2 (-.f64 (log1p.f64 N) (log.f64 N))) 2))
(log.f64 (sqrt.f64 (/.f64 N (+.f64 N 1))))
(log.f64 (+.f64 1 (-.f64 (sqrt.f64 (/.f64 N (+.f64 N 1))) 1)))
(cbrt.f64 (pow.f64 (*.f64 1/2 (-.f64 (log1p.f64 N) (log.f64 N))) 3))
(expm1.f64 (log1p.f64 (*.f64 1/2 (-.f64 (log1p.f64 N) (log.f64 N)))))
(exp.f64 (log.f64 (*.f64 1/2 (-.f64 (log1p.f64 N) (log.f64 N)))))
(exp.f64 (.f64 (log.f64 (.f64 1/2 (-.f64 (log1p.f64 N) (log.f64 N)))) 1))
(log1p.f64 (-.f64 (sqrt.f64 (/.f64 N (+.f64 N 1))) 1))
(fma.f64 1 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6)) (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))))
(fma.f64 1 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))) 2) (cbrt.f64 (.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))) (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6))) 2) (cbrt.f64 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6))) (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))))
(fma.f64 (sqrt.f64 (.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))) (sqrt.f64 (.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))) (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6)))
(fma.f64 (sqrt.f64 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6))) (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))))
(+.f64 (.f64 1/2 (-.f64 (log1p.f64 N) (log.f64 N))) (.f64 1/2 (-.f64 (log1p.f64 N) (log.f64 N))))
(+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))
(+.f64 (log.f64 N) (log.f64 (/.f64 1 (+.f64 N 1))))
(+.f64 (log.f64 N) (neg.f64 (log1p.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 (-.f64 (log1p.f64 N) (log.f64 N)))) (*.f64 2 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6))))
(+.f64 (.f64 2 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6))) (.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 N (+.f64 N 1))) 2)) (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))))
(+.f64 (.f64 (.f64 2 (.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))) 1) (.f64 (*.f64 2 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6))) 1))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 N) (log1p.f64 N))
(-.f64 0 (-.f64 (log1p.f64 N) (log.f64 N)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1)
(-.f64 (log.f64 (neg.f64 (+.f64 N 1))) (log.f64 (neg.f64 N)))
(-.f64 (log.f64 (neg.f64 N)) (log.f64 (neg.f64 (+.f64 N 1))))
(/.f64 (+.f64 (pow.f64 (.f64 2 (.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))) 3) (pow.f64 (.f64 2 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6))) 3)) (+.f64 (.f64 (.f64 2 (.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))) (.f64 2 (.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))))) (-.f64 (.f64 (.f64 2 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6))) (.f64 2 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6)))) (.f64 (.f64 2 (.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))) (*.f64 2 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6)))))))
(/.f64 (-.f64 0 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) (+.f64 0 (+.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (*.f64 0 (-.f64 (log1p.f64 N) (log.f64 N))))))
(/.f64 (-.f64 (pow.f64 (log.f64 N) 3) (pow.f64 (log1p.f64 N) 3)) (+.f64 (.f64 (log.f64 N) (log.f64 N)) (+.f64 (.f64 (log1p.f64 N) (log1p.f64 N)) (*.f64 (log.f64 N) (log1p.f64 N)))))
(/.f64 (-.f64 (.f64 (.f64 2 (.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))) (.f64 2 (.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))))) (.f64 (.f64 2 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6))) (.f64 2 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6))))) (-.f64 (.f64 2 (.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))) (*.f64 2 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6)))))
(/.f64 (-.f64 0 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (-.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (-.f64 (.f64 (log.f64 N) (log.f64 N)) (.f64 (log1p.f64 N) (log1p.f64 N))) (+.f64 (log.f64 N) (log1p.f64 N)))
(/.f64 (.f64 2 (+.f64 (pow.f64 (.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 3) (pow.f64 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6)) 3))) (+.f64 (pow.f64 (.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (.f64 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6)) (-.f64 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6)) (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))))))
(/.f64 (.f64 2 (-.f64 (pow.f64 (.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (pow.f64 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6)) 2))) (log.f64 (/.f64 (cbrt.f64 (/.f64 N (+.f64 N 1))) (pow.f64 (/.f64 N (+.f64 N 1)) 1/6))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 3) (pow.f64 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6)) 3)) 2) (+.f64 (pow.f64 (.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (.f64 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6)) (-.f64 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6)) (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (pow.f64 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6)) 2)) 2) (log.f64 (/.f64 (cbrt.f64 (/.f64 N (+.f64 N 1))) (pow.f64 (/.f64 N (+.f64 N 1)) 1/6))))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
(neg.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(log.f64 (/.f64 N (+.f64 N 1)))
(log.f64 (+.f64 1 (-.f64 (/.f64 N (+.f64 N 1)) 1)))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1))
(log1p.f64 (-.f64 (/.f64 N (+.f64 N 1)) 1))
(fma.f64 2 (.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) (.f64 2 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6))))
(fma.f64 (.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 2 (.f64 2 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6))))

Outputs
(log.f64 N)
(+.f64 (log.f64 N) (*.f64 -1 N))
(+.f64 (log.f64 N) (neg.f64 N))
(-.f64 (log.f64 N) N)
(+.f64 (log.f64 N) (+.f64 (.f64 -1 N) (.f64 1/2 (pow.f64 N 2))))
(+.f64 (log.f64 N) (fma.f64 -1 N (*.f64 1/2 (pow.f64 N 2))))
(+.f64 (log.f64 N) (fma.f64 1/2 (pow.f64 N 2) (neg.f64 N)))
(+.f64 (log.f64 N) (+.f64 (.f64 -1 N) (+.f64 (.f64 -1/3 (pow.f64 N 3)) (*.f64 1/2 (pow.f64 N 2)))))
(+.f64 (log.f64 N) (fma.f64 -1 N (fma.f64 -1/3 (pow.f64 N 3) (*.f64 1/2 (pow.f64 N 2)))))
(+.f64 (fma.f64 1/2 (pow.f64 N 2) (*.f64 -1/3 (pow.f64 N 3))) (-.f64 (log.f64 N) N))
(/.f64 -1 N)
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
(-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N))
(+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 -1 N))
(-.f64 (.f64 1/2 (/.f64 1 (pow.f64 N 2))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))
(-.f64 (/.f64 1/2 (pow.f64 N 2)) (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))))
(+.f64 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/3 (pow.f64 N 3))) (/.f64 -1 N))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (.f64 1/2 (/.f64 1 (pow.f64 N 2)))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))
(+.f64 (/.f64 1/4 (pow.f64 N 4)) (-.f64 (/.f64 1/2 (pow.f64 N 2)) (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3)))))
(-.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))) (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))))
(/.f64 -1 N)
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
(-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1 N))
(+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 -1 N))
(-.f64 (.f64 1/2 (/.f64 1 (pow.f64 N 2))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))
(-.f64 (/.f64 1/2 (pow.f64 N 2)) (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))))
(+.f64 (-.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/3 (pow.f64 N 3))) (/.f64 -1 N))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (.f64 1/2 (/.f64 1 (pow.f64 N 2)))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)))
(+.f64 (/.f64 1/4 (pow.f64 N 4)) (-.f64 (/.f64 1/2 (pow.f64 N 2)) (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3)))))
(-.f64 (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))) (+.f64 (/.f64 1 N) (/.f64 1/3 (pow.f64 N 3))))
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (fma.f64 -1 (log.f64 N) (*.f64 (pow.f64 N 2) -1/2)))
(+.f64 N (-.f64 (*.f64 (pow.f64 N 2) -1/2) (log.f64 N)))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (+.f64 (.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(+.f64 N (fma.f64 -1 (log.f64 N) (fma.f64 -1/2 (pow.f64 N 2) (*.f64 (pow.f64 N 3) 1/3))))
(+.f64 (-.f64 N (log.f64 N)) (fma.f64 (pow.f64 N 2) -1/2 (*.f64 (pow.f64 N 3) 1/3)))
(/.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 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 -1/4 (pow.f64 N 4)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 1/2 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 -1/2 (pow.f64 N 2)) (/.f64 -1/4 (pow.f64 N 4)))))
N
(+.f64 N (*.f64 -1 (pow.f64 N 2)))
(+.f64 N (neg.f64 (pow.f64 N 2)))
(-.f64 N (pow.f64 N 2))
(+.f64 N (+.f64 (*.f64 -1 (pow.f64 N 2)) (pow.f64 N 3)))
(+.f64 N (fma.f64 -1 (pow.f64 N 2) (pow.f64 N 3)))
(+.f64 N (-.f64 (pow.f64 N 3) (pow.f64 N 2)))
(+.f64 N (+.f64 (.f64 -1 (pow.f64 N 2)) (+.f64 (.f64 -1 (pow.f64 N 4)) (pow.f64 N 3))))
(+.f64 N (fma.f64 -1 (pow.f64 N 2) (fma.f64 -1 (pow.f64 N 4) (pow.f64 N 3))))
(+.f64 (-.f64 (pow.f64 N 3) (pow.f64 N 4)) (-.f64 N (pow.f64 N 2)))
1
(-.f64 1 (/.f64 1 N))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))
(+.f64 1 (-.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 1 N)))
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 -1 N)))
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 N 2))) (+.f64 (/.f64 1 N) (/.f64 1 (pow.f64 N 3))))
1
(-.f64 1 (/.f64 1 N))
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(fma.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)) (*.f64 1/6 (-.f64 (log.f64 N) (log1p.f64 N))))
(fma.f64 (sqrt.f64 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6))) (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))))
(+.f64 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6)) (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))))
(fma.f64 1/6 (-.f64 (log.f64 N) (log1p.f64 N)) (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))))
(+.f64 (.f64 1/2 (-.f64 (log1p.f64 N) (log.f64 N))) (.f64 1/2 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(+.f64 (log.f64 N) (log.f64 (/.f64 1 (+.f64 N 1))))
(+.f64 (log.f64 N) (neg.f64 (log.f64 (+.f64 N 1))))
(-.f64 (log.f64 N) (log1p.f64 N))
(+.f64 (log.f64 N) (neg.f64 (log1p.f64 N)))
(+.f64 (log.f64 N) (neg.f64 (log.f64 (+.f64 N 1))))
(-.f64 (log.f64 N) (log1p.f64 N))
(+.f64 0 (-.f64 (log1p.f64 N) (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(+.f64 (neg.f64 (log.f64 N)) (log1p.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(+.f64 (.f64 2 (.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))) (*.f64 2 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6))))
(fma.f64 2 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6)) (*.f64 2/3 (-.f64 (log1p.f64 N) (log.f64 N))))
(fma.f64 2/3 (-.f64 (log1p.f64 N) (log.f64 N)) (*.f64 -1/3 (-.f64 (log1p.f64 N) (log.f64 N))))
(+.f64 (.f64 2 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6))) (.f64 2 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))))
(fma.f64 2 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6)) (*.f64 2/3 (-.f64 (log1p.f64 N) (log.f64 N))))
(fma.f64 2/3 (-.f64 (log1p.f64 N) (log.f64 N)) (*.f64 -1/3 (-.f64 (log1p.f64 N) (log.f64 N))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 N (+.f64 N 1))) 2)) (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))))
(+.f64 (.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) (.f64 2 (log.f64 (cbrt.f64 (/.f64 N (+.f64 N 1))))))
(fma.f64 2 (log.f64 (cbrt.f64 (/.f64 N (+.f64 N 1)))) (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))))
(+.f64 (.f64 (.f64 2 (.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))) 1) (.f64 (*.f64 2 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6))) 1))
(fma.f64 2 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6)) (*.f64 2/3 (-.f64 (log1p.f64 N) (log.f64 N))))
(fma.f64 2/3 (-.f64 (log1p.f64 N) (log.f64 N)) (*.f64 -1/3 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 N) (log1p.f64 N))
(+.f64 (log.f64 N) (neg.f64 (log.f64 (+.f64 N 1))))
(-.f64 0 (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (log.f64 N) (neg.f64 (log.f64 (+.f64 N 1))))
(-.f64 (log.f64 N) (log1p.f64 N))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1)
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (log.f64 (neg.f64 (+.f64 N 1))) (log.f64 (neg.f64 N)))
(-.f64 (log.f64 (+.f64 (neg.f64 N) -1)) (log.f64 (neg.f64 N)))
(-.f64 (log.f64 (fma.f64 N -1 -1)) (log.f64 (neg.f64 N)))
(-.f64 (log.f64 (neg.f64 N)) (log.f64 (neg.f64 (+.f64 N 1))))
(-.f64 (log.f64 (neg.f64 N)) (log.f64 (+.f64 (neg.f64 N) -1)))
(-.f64 (log.f64 (neg.f64 N)) (log.f64 (fma.f64 N -1 -1)))
(/.f64 (+.f64 (pow.f64 (.f64 2 (.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))) 3) (pow.f64 (.f64 2 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6))) 3)) (+.f64 (.f64 (.f64 2 (.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))) (.f64 2 (.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))))) (-.f64 (.f64 (.f64 2 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6))) (.f64 2 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6)))) (.f64 (.f64 2 (.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))) (*.f64 2 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6)))))))
(/.f64 (+.f64 (pow.f64 (.f64 2/3 (-.f64 (log1p.f64 N) (log.f64 N))) 3) (.f64 8 (pow.f64 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6)) 3))) (+.f64 (.f64 4 (pow.f64 (.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) (.f64 (.f64 2 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6))) (-.f64 (.f64 2 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6))) (.f64 2/3 (-.f64 (log1p.f64 N) (log.f64 N)))))))
(/.f64 (+.f64 (.f64 8/27 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) (pow.f64 (.f64 -1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 3)) (+.f64 (.f64 4/9 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (fma.f64 4 (pow.f64 (.f64 1/6 (-.f64 (log.f64 N) (log1p.f64 N))) 2) (.f64 -2 (neg.f64 (.f64 1/9 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)))))))
(/.f64 (-.f64 0 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) (+.f64 0 (+.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (*.f64 0 (-.f64 (log1p.f64 N) (log.f64 N))))))
(/.f64 (neg.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) (+.f64 0 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)))
(/.f64 (neg.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3)) (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(/.f64 (-.f64 (pow.f64 (log.f64 N) 3) (pow.f64 (log1p.f64 N) 3)) (+.f64 (.f64 (log.f64 N) (log.f64 N)) (+.f64 (.f64 (log1p.f64 N) (log1p.f64 N)) (*.f64 (log.f64 N) (log1p.f64 N)))))
(/.f64 (-.f64 (pow.f64 (log.f64 N) 3) (pow.f64 (log1p.f64 N) 3)) (fma.f64 (log.f64 N) (log.f64 N) (*.f64 (log1p.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))))
(/.f64 (-.f64 (.f64 (.f64 2 (.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))) (.f64 2 (.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))))) (.f64 (.f64 2 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6))) (.f64 2 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6))))) (-.f64 (.f64 2 (.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))) (*.f64 2 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6)))))
(/.f64 (-.f64 (.f64 4 (pow.f64 (.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) (.f64 4 (pow.f64 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6)) 2))) (-.f64 (.f64 2/3 (-.f64 (log1p.f64 N) (log.f64 N))) (*.f64 2 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6)))))
(/.f64 (+.f64 (.f64 4/9 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (.f64 -4 (pow.f64 (.f64 1/6 (-.f64 (log.f64 N) (log1p.f64 N))) 2))) (-.f64 (.f64 2/3 (-.f64 (log1p.f64 N) (log.f64 N))) (*.f64 -1/3 (-.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (-.f64 0 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (-.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (neg.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (-.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (-.f64 (.f64 (log.f64 N) (log.f64 N)) (.f64 (log1p.f64 N) (log1p.f64 N))) (+.f64 (log.f64 N) (log1p.f64 N)))
(/.f64 (.f64 2 (+.f64 (pow.f64 (.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 3) (pow.f64 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6)) 3))) (+.f64 (pow.f64 (.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (.f64 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6)) (-.f64 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6)) (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))))))
(/.f64 (.f64 2 (+.f64 (pow.f64 (.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 3) (pow.f64 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6)) 3))) (+.f64 (pow.f64 (.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (.f64 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6)) (+.f64 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6)) (*.f64 -1/3 (-.f64 (log1p.f64 N) (log.f64 N)))))))
(/.f64 (fma.f64 1/27 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) (.f64 1/216 (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) 3))) (/.f64 (fma.f64 (.f64 1/6 (-.f64 (log.f64 N) (log1p.f64 N))) (fma.f64 1/6 (-.f64 (log.f64 N) (log1p.f64 N)) (.f64 -1/3 (-.f64 (log1p.f64 N) (log.f64 N)))) (.f64 1/9 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))) 2))
(/.f64 (.f64 2 (-.f64 (pow.f64 (.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (pow.f64 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6)) 2))) (log.f64 (/.f64 (cbrt.f64 (/.f64 N (+.f64 N 1))) (pow.f64 (/.f64 N (+.f64 N 1)) 1/6))))
(/.f64 2 (/.f64 (log.f64 (/.f64 (cbrt.f64 (/.f64 N (+.f64 N 1))) (pow.f64 (/.f64 N (+.f64 N 1)) 1/6))) (-.f64 (pow.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (pow.f64 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6)) 2))))
(/.f64 2 (/.f64 (log.f64 (/.f64 (cbrt.f64 (/.f64 N (+.f64 N 1))) (pow.f64 (/.f64 N (+.f64 N 1)) 1/6))) (-.f64 (.f64 1/9 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (pow.f64 (.f64 1/6 (-.f64 (log.f64 N) (log1p.f64 N))) 2))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 3) (pow.f64 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6)) 3)) 2) (+.f64 (pow.f64 (.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (.f64 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6)) (-.f64 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6)) (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N)))))))
(/.f64 (.f64 2 (+.f64 (pow.f64 (.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 3) (pow.f64 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6)) 3))) (+.f64 (pow.f64 (.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (.f64 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6)) (+.f64 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6)) (*.f64 -1/3 (-.f64 (log1p.f64 N) (log.f64 N)))))))
(/.f64 (fma.f64 1/27 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) (.f64 1/216 (pow.f64 (-.f64 (log.f64 N) (log1p.f64 N)) 3))) (/.f64 (fma.f64 (.f64 1/6 (-.f64 (log.f64 N) (log1p.f64 N))) (fma.f64 1/6 (-.f64 (log.f64 N) (log1p.f64 N)) (.f64 -1/3 (-.f64 (log1p.f64 N) (log.f64 N)))) (.f64 1/9 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))) 2))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (pow.f64 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6)) 2)) 2) (log.f64 (/.f64 (cbrt.f64 (/.f64 N (+.f64 N 1))) (pow.f64 (/.f64 N (+.f64 N 1)) 1/6))))
(/.f64 2 (/.f64 (log.f64 (/.f64 (cbrt.f64 (/.f64 N (+.f64 N 1))) (pow.f64 (/.f64 N (+.f64 N 1)) 1/6))) (-.f64 (pow.f64 (*.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (pow.f64 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6)) 2))))
(/.f64 2 (/.f64 (log.f64 (/.f64 (cbrt.f64 (/.f64 N (+.f64 N 1))) (pow.f64 (/.f64 N (+.f64 N 1)) 1/6))) (-.f64 (.f64 1/9 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2)) (pow.f64 (.f64 1/6 (-.f64 (log.f64 N) (log1p.f64 N))) 2))))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(-.f64 (log1p.f64 N) (log.f64 N))
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(-.f64 (log1p.f64 N) (log.f64 N))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(-.f64 (log1p.f64 N) (log.f64 N))
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
(-.f64 (log1p.f64 N) (log.f64 N))
(neg.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (log.f64 N) (neg.f64 (log.f64 (+.f64 N 1))))
(-.f64 (log.f64 N) (log1p.f64 N))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(fabs.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(log.f64 (/.f64 N (+.f64 N 1)))
(+.f64 (log.f64 N) (neg.f64 (log.f64 (+.f64 N 1))))
(-.f64 (log.f64 N) (log1p.f64 N))
(log.f64 (+.f64 1 (-.f64 (/.f64 N (+.f64 N 1)) 1)))
(log1p.f64 (+.f64 (/.f64 N (+.f64 N 1)) -1))
(log.f64 (+.f64 (/.f64 N (+.f64 N 1)) 0))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(-.f64 (log1p.f64 N) (log.f64 N))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1))
(-.f64 (log1p.f64 N) (log.f64 N))
(log1p.f64 (-.f64 (/.f64 N (+.f64 N 1)) 1))
(log1p.f64 (+.f64 (/.f64 N (+.f64 N 1)) -1))
(log.f64 (+.f64 (/.f64 N (+.f64 N 1)) 0))
(fma.f64 2 (.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) (.f64 2 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6))))
(fma.f64 2 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6)) (*.f64 2/3 (-.f64 (log1p.f64 N) (log.f64 N))))
(fma.f64 2/3 (-.f64 (log1p.f64 N) (log.f64 N)) (*.f64 -1/3 (-.f64 (log1p.f64 N) (log.f64 N))))
(fma.f64 (.f64 1/3 (-.f64 (log1p.f64 N) (log.f64 N))) 2 (.f64 2 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6))))
(fma.f64 2 (log.f64 (pow.f64 (/.f64 N (+.f64 N 1)) 1/6)) (*.f64 2/3 (-.f64 (log1p.f64 N) (log.f64 N))))
(fma.f64 2/3 (-.f64 (log1p.f64 N) (log.f64 N)) (*.f64 -1/3 (-.f64 (log1p.f64 N) (log.f64 N))))

eval560.0ms (4.9%)

Compiler: Compiled 15221 to 11589 computations (23.9% saved)

prune118.0ms (1%)

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	721	1	722
Fresh	0	1	1
Picked	1	4	5
Done	0	5	5
Total	722	11	733

Accuracy

100.0%

Counts

733 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	17.2%	(/.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N 3))
✓	47.6%	(/.f64 1 N)
✓	45.6%	(-.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))))
✓	55.5%	(-.f64 N (log.f64 N))
✓	46.8%	(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
✓	57.9%	(*.f64 2 (+.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))))
✓	58.2%	(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
✓	58.3%	(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
✓	54.3%	(neg.f64 (log.f64 N))
✓	58.2%	(log.f64 (/.f64 (+.f64 N 1) N))
	4.7%	N
▶	17.2%	(/.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N 3))
✓	47.6%	(/.f64 1 N)
✓	45.6%	(-.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))))
✓	55.5%	(-.f64 N (log.f64 N))
✓	46.8%	(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
✓	57.9%	(*.f64 2 (+.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))))
✓	58.2%	(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
✓	58.3%	(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
✓	54.3%	(neg.f64 (log.f64 N))
✓	58.2%	(log.f64 (/.f64 (+.f64 N 1) N))
	4.7%	N

Compiler

Compiled 214 to 164 computations (23.4% saved)

localize81.0ms (0.7%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(*.f64 N (-.f64 N 1/2))
✓	63.1%	(/.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N 3))

Compiler

Compiled 25 to 17 computations (32% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

Operation ival-sub, time spent: 14.0ms, 46.0% of total-time

Operation ival-pow, time spent: 6.0ms, 20.0% of total-time

Operation ival-mult, time spent: 5.0ms, 17.0% of total-time

Operation const, time spent: 3.0ms, 10.0% of total-time

Operation ival-div, time spent: 3.0ms, 10.0% of total-time

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	N	@	0	(/.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N 3))
0.0ms	N	@	-inf	(/.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N 3))
0.0ms	N	@	inf	(/.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N 3))
0.0ms	N	@	0	(*.f64 N (-.f64 N 1/2))
0.0ms	N	@	inf	(*.f64 N (-.f64 N 1/2))

rewrite98.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1178×	`unpow-prod-down`
734×	`log-prod`
690×	`log1p-expm1-u`
690×	`expm1-log1p-u`
488×	`pow-prod-down`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	53
1	136	53
2	1859	44

Stop Event

1×	node limit

Counts

2 → 150

Calls

Call 1

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

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

simplify105.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

954×	`log-prod`
744×	`cube-prod`
596×	`associate-r`
564×	`associate-l`
532×	`fabs-mul`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	405	5973
1	992	5315
2	4362	5261

Stop Event

1×	node limit

Counts

174 → 204

Calls

Call 1

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

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

eval81.0ms (0.7%)

Compiler: Compiled 3296 to 2480 computations (24.8% saved)

prune36.0ms (0.3%)

Pruning

12 alts after pruning (2 fresh and 10 done)

	Pruned	Kept	Total
New	203	1	204
Fresh	0	1	1
Picked	0	1	1
Done	0	9	9
Total	203	12	215

Accuracy

100.0%

Counts

215 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	17.2%	(/.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N 3))
✓	47.6%	(/.f64 1 N)
✓	45.6%	(-.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))))
✓	55.5%	(-.f64 N (log.f64 N))
✓	46.8%	(+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2))))
	45.5%	(*.f64 (/.f64 (+.f64 N -1/2) N) (/.f64 1 N))
✓	57.9%	(*.f64 2 (+.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))))
✓	58.2%	(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
✓	58.3%	(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
✓	54.3%	(neg.f64 (log.f64 N))
✓	58.2%	(log.f64 (/.f64 (+.f64 N 1) N))
	4.7%	N

Compiler

Compiled 261 to 188 computations (28% saved)

regimes32.0ms (0.3%)

Counts

16 → 2

Calls

Call 1

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

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

Calls

2 calls:

18.0ms	N
10.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Results

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

Compiler

Compiled 154 to 106 computations (31.2% saved)

regimes78.0ms (0.7%)

Counts

13 → 2

Calls

Call 1

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

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

Calls

2 calls:

68.0ms	N
7.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Results

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

Compiler

Compiled 98 to 66 computations (32.7% saved)

regimes25.0ms (0.2%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

2 calls:

15.0ms	N
7.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Results

Accuracy	Segments	Branch
99.7%	2	`N`
99.7%	2	`(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))`

Compiler

Compiled 83 to 54 computations (34.9% saved)

regimes12.0ms (0.1%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
99.7%	2	`N`

Compiler

Compiled 29 to 17 computations (41.4% saved)

regimes10.0ms (0.1%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
98.8%	2	`N`

Compiler

Compiled 23 to 13 computations (43.5% saved)

regimes9.0ms (0.1%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
98.3%	2	`N`

Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes32.0ms (0.3%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(/.f64 1 N)

Calls

1 calls:

31.0ms

Results

Accuracy	Segments	Branch
47.6%	1	`N`

Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
N

Outputs
N

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
4.7%	1	`N`

Compiler

Compiled 4 to 2 computations (50% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.2266549400740132e-5	0.17280179047459154

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.2266549400740132e-5	0.17280179047459154

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.713996197367123e-8	8.242615146869525e-6

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch25.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	121320.21949021019	12963448.949822107

Results

23.0ms

112×

body

valid

Compiler

Compiled 145 to 107 computations (26.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

Operation ival-log, time spent: 7.0ms, 60.0% of total-time

Operation ival-sub, time spent: 2.0ms, 17.0% of total-time

Operation ival-add, time spent: 2.0ms, 17.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch22.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	0.09620023390283715	5.301370062739765

Results

21.0ms

112×

body

valid

Compiler

Compiled 131 to 93 computations (29% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

Operation ival-log, time spent: 5.0ms, 51.0% of total-time

Operation ival-sub, time spent: 2.0ms, 21.0% of total-time

Operation ival-add, time spent: 2.0ms, 21.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch25.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
25.0ms	0.09620023390283715	5.301370062739765

Results

23.0ms

112×

body

valid

Compiler

Compiled 124 to 93 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

Operation ival-log, time spent: 8.0ms, 66.0% of total-time

Operation ival-sub, time spent: 2.0ms, 17.0% of total-time

Operation ival-add, time spent: 2.0ms, 17.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

simplify17.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	541
1	81	541
2	94	541
3	108	541
4	117	541
5	123	541
6	125	541

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 5902958103587057/147573952589676412928) (-.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)))) (log.f64 (/.f64 (+.f64 N 1) N)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 5902958103587057/147573952589676412928) (+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2)))) (log.f64 (/.f64 (+.f64 N 1) N)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 944473296573929/9444732965739290427392) (*.f64 (/.f64 (+.f64 N -1/2) N) (/.f64 1 N)) (neg.f64 (log.f64 (/.f64 N (+.f64 N 1)))))
(if (<=.f64 N 225000) (log.f64 (/.f64 (+.f64 N 1) N)) (*.f64 (/.f64 (+.f64 N -1/2) N) (/.f64 1 N)))
(if (<=.f64 N 8106479329266893/9007199254740992) (-.f64 N (log.f64 N)) (*.f64 (/.f64 (+.f64 N -1/2) N) (/.f64 1 N)))
(if (<=.f64 N 6124895493223875/9007199254740992) (neg.f64 (log.f64 N)) (*.f64 (/.f64 (+.f64 N -1/2) N) (/.f64 1 N)))
(/.f64 1 N)
N

Outputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 5902958103587057/147573952589676412928) (-.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)))) (log.f64 (/.f64 (+.f64 N 1) N)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 5902958103587057/147573952589676412928) (+.f64 (/.f64 1 N) (+.f64 (/.f64 1/3 (pow.f64 N 3)) (/.f64 -1/2 (pow.f64 N 2)))) (log.f64 (/.f64 (+.f64 N 1) N)))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 944473296573929/9444732965739290427392) (*.f64 (/.f64 (+.f64 N -1/2) N) (/.f64 1 N)) (neg.f64 (log.f64 (/.f64 N (+.f64 N 1)))))
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 944473296573929/9444732965739290427392) (*.f64 (/.f64 1 N) (/.f64 (+.f64 N -1/2) N)) (neg.f64 (log.f64 (/.f64 N (+.f64 N 1)))))
(if (<=.f64 N 225000) (log.f64 (/.f64 (+.f64 N 1) N)) (*.f64 (/.f64 (+.f64 N -1/2) N) (/.f64 1 N)))
(if (<=.f64 N 225000) (log.f64 (/.f64 (+.f64 N 1) N)) (*.f64 (/.f64 1 N) (/.f64 (+.f64 N -1/2) N)))
(if (<=.f64 N 8106479329266893/9007199254740992) (-.f64 N (log.f64 N)) (*.f64 (/.f64 (+.f64 N -1/2) N) (/.f64 1 N)))
(if (<=.f64 N 8106479329266893/9007199254740992) (-.f64 N (log.f64 N)) (*.f64 (/.f64 1 N) (/.f64 (+.f64 N -1/2) N)))
(if (<=.f64 N 6124895493223875/9007199254740992) (neg.f64 (log.f64 N)) (*.f64 (/.f64 (+.f64 N -1/2) N) (/.f64 1 N)))
(if (<=.f64 N 6124895493223875/9007199254740992) (neg.f64 (log.f64 N)) (*.f64 (/.f64 1 N) (/.f64 (+.f64 N -1/2) N)))
(/.f64 1 N)
N

Compiler

Compiled 158 to 117 computations (25.9% saved)

soundness2.1s (18.6%)

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	128
1	33	104
2	65	100
3	125	100
4	272	100
5	525	100
6	800	96
7	1286	96
8	2035	96
9	3450	96
10	4123	96
11	4151	96
12	4175	96
13	4175	96
14	6249	96
15	6686	96
16	7038	96
17	7038	96
18	7440	96
19	7975	96
0	228	3781
1	572	3613
2	1596	3601
3	6255	3601
0	9	21
1	92	21
2	1197	21
0	228	3781
1	572	3613
2	1596	3601
3	6255	3601
0	228	3781
1	572	3613
2	1596	3601
3	6255	3601
0	228	3781
1	572	3613
2	1596	3601
3	6255	3601
0	32	289
1	514	245
2	7583	245
0	11	53
1	136	53
2	1859	44
0	31	272
1	492	260
2	7718	260
0	228	3781
1	572	3613
2	1596	3601
3	6255	3601

Stop Event

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

Compiler

Compiled 819 to 596 computations (27.2% saved)

end0.0ms (0%)

preprocess97.0ms (0.8%)

Compiler: Compiled 318 to 224 computations (29.6% saved)

analyze3.0ms (0%)

sample4.2s (36.8%)

preprocess441.0ms (3.9%)

eval0.0ms (0%)

prune1.0ms (0%)

localize75.0ms (0.7%)

series2.0ms (0%)

rewrite185.0ms (1.6%)

simplify102.0ms (0.9%)

eval39.0ms (0.3%)

prune33.0ms (0.3%)

localize661.0ms (5.8%)

series20.0ms (0.2%)

rewrite237.0ms (2.1%)

simplify162.0ms (1.4%)

eval312.0ms (2.7%)

prune86.0ms (0.7%)

localize801.0ms (7%)

series20.0ms (0.2%)

rewrite230.0ms (2%)

simplify232.0ms (2%)

eval560.0ms (4.9%)

prune118.0ms (1%)

localize81.0ms (0.7%)

series2.0ms (0%)

rewrite98.0ms (0.9%)

simplify105.0ms (0.9%)

eval81.0ms (0.7%)

prune36.0ms (0.3%)

regimes32.0ms (0.3%)

regimes78.0ms (0.7%)

regimes25.0ms (0.2%)

regimes12.0ms (0.1%)

regimes10.0ms (0.1%)

regimes9.0ms (0.1%)

regimes32.0ms (0.3%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch25.0ms (0.2%)

bsearch22.0ms (0.2%)

bsearch25.0ms (0.2%)

simplify17.0ms (0.2%)

soundness2.1s (18.6%)

end0.0ms (0%)

preprocess97.0ms (0.8%)

Profiling