Metrics for 2log (problem 3.3.6)

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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 ival-log, time spent: 0.0ms, 0.0% of total-time

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

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

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

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

sample1.5s (16.8%)

Results

1.1s	8255×	256	valid
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 623.0ms

Operation ival-log, time spent: 314.0ms, 50.0% of total-time

Operation ival-sub, time spent: 113.0ms, 18.0% of total-time

Operation ival-add, time spent: 72.0ms, 12.0% of total-time

Operation ival->, time spent: 50.0ms, 8.0% of total-time

Operation ival-<, time spent: 44.0ms, 7.0% of total-time

Operation const, time spent: 18.0ms, 3.0% of total-time

Operation ival-and, time spent: 12.0ms, 2.0% of total-time

Bogosity

preprocess332.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

168×	`fma-define`
132×	`fma-neg`
66×	`sub-neg`
44×	`unsub-neg`
40×	`associate--r+`

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
244	2	(43.2520356894631)	3	(10.124433115650985)	`(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))`
0	0	-	0	-	`1`
0	0	-	0	-	`(log.f64 N)`
0	0	-	0	-	`(log.f64 (+.f64 N 1))`
0	0	-	0	-	`(+.f64 N 1)`
0	0	-	0	-	`N`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	128
1	33	104
2	63	100
3	109	100
4	175	100
5	268	100
6	346	100
7	405	100
8	457	100
9	492	100
10	518	100
11	520	100

Stop Event

1×

saturated

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)))
(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)))

Results

235.0ms	511×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 48 to 32 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 133.0ms

Operation ival-sub, time spent: 96.0ms, 72.0% of total-time

Operation ival-log, time spent: 27.0ms, 20.0% of total-time

Operation ival-add, time spent: 9.0ms, 7.0% of total-time

Operation const, time spent: 2.0ms, 1.0% 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
▶	24.0%	(-.f64 (log1p.f64 N) (log.f64 N))
▶	24.0%	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize72.0ms (0.8%)

Localize:

Found 6 expressions with local error:

New	Accuracy	Program
✓	100.0%	(log.f64 N)
✓	100.0%	(log1p.f64 N)
✓	24.0%	(-.f64 (log1p.f64 N) (log.f64 N))
✓	100.0%	(log.f64 (+.f64 N 1))
✓	100.0%	(log.f64 N)
✓	24.0%	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Results

54.0ms	255×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 30 to 15 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

Operation ival-log, time spent: 20.0ms, 55.0% of total-time

Operation composed, time spent: 7.0ms, 19.0% of total-time

Operation ival-add, time spent: 6.0ms, 17.0% of total-time

Operation ival-sub, time spent: 3.0ms, 8.0% of total-time

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

series63.0ms (0.7%)

Counts

6 → 64

Calls

Call 1

Inputs
#<alt (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))>
#<alt (log.f64 N)>
#<alt (log.f64 (+.f64 N 1))>
#<alt (-.f64 (log1p.f64 N) (log.f64 N))>
#<alt (log1p.f64 N)>
#<alt (log.f64 N)>

Outputs
#<alt (*.f64 -1 (log.f64 N))>
#<alt (-.f64 N (log.f64 N))>
#<alt (-.f64 (.f64 N (+.f64 1 (.f64 -1/2 N))) (log.f64 N))>
#<alt (-.f64 (.f64 N (+.f64 1 (.f64 N (-.f64 (*.f64 1/3 N) 1/2)))) (log.f64 N))>
#<alt (/.f64 1 N)>
#<alt (/.f64 (-.f64 1 (*.f64 1/2 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (+.f64 (.f64 1/2 (/.f64 1 N)) (.f64 1/4 (/.f64 1 (pow.f64 N 3))))) N)>
#<alt (/.f64 1 N)>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 N)) 1) N))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)) 1) N))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/4 (/.f64 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (*.f64 -1 (log.f64 (/.f64 1 N)))>
#<alt (*.f64 -1 (log.f64 (/.f64 1 N)))>
#<alt (*.f64 -1 (log.f64 (/.f64 1 N)))>
#<alt (*.f64 -1 (log.f64 (/.f64 1 N)))>
#<alt (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))>
#<alt (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))>
#<alt (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))>
#<alt (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))>
#<alt N>
#<alt (.f64 N (+.f64 1 (.f64 -1/2 N)))>
#<alt (.f64 N (+.f64 1 (.f64 N (-.f64 (*.f64 1/3 N) 1/2))))>
#<alt (.f64 N (+.f64 1 (.f64 N (-.f64 (.f64 N (+.f64 1/3 (.f64 -1/4 N))) 1/2))))>
#<alt (*.f64 -1 (log.f64 (/.f64 1 N)))>
#<alt (+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (/.f64 1 N))>
#<alt (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (/.f64 1 N)) (/.f64 1/2 (pow.f64 N 2)))>
#<alt (-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 N))) (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3))))) (/.f64 1/2 (pow.f64 N 2)))>
#<alt (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))>
#<alt (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 N))) (/.f64 1 N)))>
#<alt (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 N))) (.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 N)) 1) N))))>
#<alt (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 N))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/3 (/.f64 1 N)) 1/2) N)) 1) N))))>
#<alt (*.f64 -1 (log.f64 N))>
#<alt (-.f64 N (log.f64 N))>
#<alt (-.f64 (.f64 N (+.f64 1 (.f64 -1/2 N))) (log.f64 N))>
#<alt (-.f64 (.f64 N (+.f64 1 (.f64 N (-.f64 (*.f64 1/3 N) 1/2)))) (log.f64 N))>
#<alt (/.f64 1 N)>
#<alt (/.f64 (-.f64 1 (*.f64 1/2 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (+.f64 (.f64 1/2 (/.f64 1 N)) (.f64 1/4 (/.f64 1 (pow.f64 N 3))))) N)>
#<alt (/.f64 1 N)>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 N)) 1) N))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)) 1) N))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/4 (/.f64 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt N>
#<alt (.f64 N (+.f64 1 (.f64 -1/2 N)))>
#<alt (.f64 N (+.f64 1 (.f64 N (-.f64 (*.f64 1/3 N) 1/2))))>
#<alt (.f64 N (+.f64 1 (.f64 N (-.f64 (.f64 N (+.f64 1/3 (.f64 -1/4 N))) 1/2))))>
#<alt (*.f64 -1 (log.f64 (/.f64 1 N)))>
#<alt (+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (/.f64 1 N))>
#<alt (-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 N))) (/.f64 1 N)) (/.f64 1/2 (pow.f64 N 2)))>
#<alt (-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 N))) (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3))))) (/.f64 1/2 (pow.f64 N 2)))>
#<alt (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))>
#<alt (+.f64 (log.f64 -1) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 N))) (/.f64 1 N)))>
#<alt (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 N))) (.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 N)) 1) N))))>
#<alt (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 N))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/3 (/.f64 1 N)) 1/2) N)) 1) N))))>
#<alt (*.f64 -1 (log.f64 (/.f64 1 N)))>
#<alt (*.f64 -1 (log.f64 (/.f64 1 N)))>
#<alt (*.f64 -1 (log.f64 (/.f64 1 N)))>
#<alt (*.f64 -1 (log.f64 (/.f64 1 N)))>
#<alt (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))>
#<alt (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))>
#<alt (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))>
#<alt (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))>

Calls

18 calls:

Time	Variable		Point	Expression
30.0ms	N	@	0	(log N)
19.0ms	N	@	-inf	(log N)
6.0ms	N	@	inf	(log N)
1.0ms	N	@	-inf	(- (log (+ N 1)) (log N))
1.0ms	N	@	inf	(- (log (+ N 1)) (log N))

rewrite253.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	74
1	181	74
2	1758	74

Stop Event

1×	node limit

Counts

6 → 402

Calls

Call 1

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

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

simplify308.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

864×	`times-frac`
728×	`distribute-lft-neg-in`
714×	`distribute-rgt-neg-in`
712×	`distribute-lft-out`
494×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	527	13982
1	1131	12870
2	3558	12666

Stop Event

1×	node limit

Counts

466 → 313

Calls

Call 1

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

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

eval91.0ms (1%)

Compiler: Compiled 5010 to 2521 computations (49.7% saved)

prune94.0ms (1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	358	6	364
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	360	6	366

Accuracy

99.9%

Counts

366 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.0%	(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
▶	95.0%	(/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) (neg.f64 N))
▶	93.4%	(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
▶	84.3%	(/.f64 1 N)
	23.9%	(+.f64 (*.f64 2/3 (log1p.f64 N)) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) N)))
▶	99.9%	(log1p.f64 (/.f64 1 N))

Compiler

Compiled 118 to 90 computations (23.7% saved)

localize265.0ms (3%)

Localize:

Found 10 expressions with local error:

New	Accuracy	Program
✓	99.9%	(/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) (neg.f64 N))
✓	99.8%	(/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)
✓	99.7%	(+.f64 (/.f64 1/4 N) -1/3)
✓	99.5%	(/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)
✓	100.0%	(+.f64 -1/2 (/.f64 1/3 N))
✓	99.9%	(/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)
✓	99.9%	(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
✓	99.5%	(/.f64 1/3 N)
✓	99.9%	(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
✓	99.9%	(log1p.f64 (/.f64 1 N))

Results

183.0ms	255×	256	valid
1.0ms	1×	256	valid

Compiler

Compiled 144 to 105 computations (27.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 144.0ms

Operation ival-div, time spent: 75.0ms, 52.0% of total-time

Operation ival-add, time spent: 27.0ms, 19.0% of total-time

Operation composed, time spent: 14.0ms, 10.0% of total-time

Operation ival-sub, time spent: 11.0ms, 8.0% of total-time

Operation ival-log, time spent: 8.0ms, 6.0% of total-time

Operation const, time spent: 7.0ms, 5.0% of total-time

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

series15.0ms (0.2%)

Counts

10 → 108

Calls

Call 1

Inputs
#<alt (log1p.f64 (/.f64 1 N))>
#<alt (/.f64 (-.f64 1 (/.f64 1/2 N)) N)>
#<alt (/.f64 1/3 N)>
#<alt (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)>
#<alt (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)>
#<alt (+.f64 -1/2 (/.f64 1/3 N))>
#<alt (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)>
#<alt (+.f64 (/.f64 1/4 N) -1/3)>
#<alt (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)>
#<alt (/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) (neg.f64 N))>

Outputs
#<alt (*.f64 -1 (log.f64 N))>
#<alt (+.f64 N (*.f64 -1 (log.f64 N)))>
#<alt (+.f64 (.f64 -1 (log.f64 N)) (.f64 N (+.f64 1 (*.f64 -1/2 N))))>
#<alt (+.f64 (.f64 -1 (log.f64 N)) (.f64 N (+.f64 1 (.f64 N (-.f64 (.f64 1/3 N) 1/2)))))>
#<alt (/.f64 1 N)>
#<alt (/.f64 (-.f64 1 (*.f64 1/2 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (+.f64 (.f64 1/2 (/.f64 1 N)) (.f64 1/4 (/.f64 1 (pow.f64 N 3))))) N)>
#<alt (/.f64 1 N)>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 N)) 1) N))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)) 1) N))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/4 (/.f64 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (/.f64 -1/2 (pow.f64 N 2))>
#<alt (/.f64 (-.f64 N 1/2) (pow.f64 N 2))>
#<alt (/.f64 (-.f64 N 1/2) (pow.f64 N 2))>
#<alt (/.f64 (-.f64 N 1/2) (pow.f64 N 2))>
#<alt (/.f64 1 N)>
#<alt (/.f64 (-.f64 1 (*.f64 1/2 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 1 (*.f64 1/2 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 1 (*.f64 1/2 (/.f64 1 N))) N)>
#<alt (/.f64 1 N)>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 N)) 1) N))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 N)) 1) N))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 N)) 1) N))>
#<alt (/.f64 1/3 (pow.f64 N 3))>
#<alt (/.f64 (+.f64 1/3 (*.f64 -1/2 N)) (pow.f64 N 3))>
#<alt (/.f64 (+.f64 1/3 (*.f64 N (-.f64 N 1/2))) (pow.f64 N 3))>
#<alt (/.f64 (+.f64 1/3 (*.f64 N (-.f64 N 1/2))) (pow.f64 N 3))>
#<alt (/.f64 1 N)>
#<alt (/.f64 (-.f64 1 (*.f64 1/2 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N))) N)>
#<alt (/.f64 1 N)>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 N)) 1) N))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)) 1) N))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)) 1) N))>
#<alt (/.f64 1/3 (pow.f64 N 2))>
#<alt (/.f64 (+.f64 1/3 (*.f64 -1/2 N)) (pow.f64 N 2))>
#<alt (/.f64 (+.f64 1/3 (*.f64 -1/2 N)) (pow.f64 N 2))>
#<alt (/.f64 (+.f64 1/3 (*.f64 -1/2 N)) (pow.f64 N 2))>
#<alt (/.f64 -1/2 N)>
#<alt (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)>
#<alt (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)>
#<alt (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)>
#<alt (/.f64 -1/2 N)>
#<alt (.f64 -1 (/.f64 (-.f64 1/2 (.f64 1/3 (/.f64 1 N))) N))>
#<alt (.f64 -1 (/.f64 (-.f64 1/2 (.f64 1/3 (/.f64 1 N))) N))>
#<alt (.f64 -1 (/.f64 (-.f64 1/2 (.f64 1/3 (/.f64 1 N))) N))>
#<alt (/.f64 1/3 N)>
#<alt (/.f64 (+.f64 1/3 (*.f64 -1/2 N)) N)>
#<alt (/.f64 (+.f64 1/3 (*.f64 -1/2 N)) N)>
#<alt (/.f64 (+.f64 1/3 (*.f64 -1/2 N)) N)>
#<alt -1/2>
#<alt (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2)>
#<alt (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2)>
#<alt (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2)>
#<alt -1/2>
#<alt (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2)>
#<alt (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2)>
#<alt (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2)>
#<alt (/.f64 1/4 (pow.f64 N 2))>
#<alt (/.f64 (+.f64 1/4 (*.f64 -1/3 N)) (pow.f64 N 2))>
#<alt (/.f64 (+.f64 1/4 (*.f64 -1/3 N)) (pow.f64 N 2))>
#<alt (/.f64 (+.f64 1/4 (*.f64 -1/3 N)) (pow.f64 N 2))>
#<alt (/.f64 -1/3 N)>
#<alt (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 N)) 1/3) N)>
#<alt (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 N)) 1/3) N)>
#<alt (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 N)) 1/3) N)>
#<alt (/.f64 -1/3 N)>
#<alt (.f64 -1 (/.f64 (-.f64 1/3 (.f64 1/4 (/.f64 1 N))) N))>
#<alt (.f64 -1 (/.f64 (-.f64 1/3 (.f64 1/4 (/.f64 1 N))) N))>
#<alt (.f64 -1 (/.f64 (-.f64 1/3 (.f64 1/4 (/.f64 1 N))) N))>
#<alt (/.f64 1/4 N)>
#<alt (/.f64 (+.f64 1/4 (*.f64 -1/3 N)) N)>
#<alt (/.f64 (+.f64 1/4 (*.f64 -1/3 N)) N)>
#<alt (/.f64 (+.f64 1/4 (*.f64 -1/3 N)) N)>
#<alt -1/3>
#<alt (-.f64 (*.f64 1/4 (/.f64 1 N)) 1/3)>
#<alt (-.f64 (*.f64 1/4 (/.f64 1 N)) 1/3)>
#<alt (-.f64 (*.f64 1/4 (/.f64 1 N)) 1/3)>
#<alt -1/3>
#<alt (-.f64 (*.f64 1/4 (/.f64 1 N)) 1/3)>
#<alt (-.f64 (*.f64 1/4 (/.f64 1 N)) 1/3)>
#<alt (-.f64 (*.f64 1/4 (/.f64 1 N)) 1/3)>
#<alt (/.f64 -1/4 (pow.f64 N 3))>
#<alt (/.f64 (-.f64 (*.f64 1/3 N) 1/4) (pow.f64 N 3))>
#<alt (/.f64 (-.f64 (.f64 N (+.f64 1/3 (.f64 -1/2 N))) 1/4) (pow.f64 N 3))>
#<alt (/.f64 (-.f64 (.f64 N (+.f64 1/3 (.f64 -1/2 N))) 1/4) (pow.f64 N 3))>
#<alt (/.f64 -1/2 N)>
#<alt (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)>
#<alt (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) (+.f64 1/2 (/.f64 1/4 (pow.f64 N 2)))) N)>
#<alt (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) (+.f64 1/2 (/.f64 1/4 (pow.f64 N 2)))) N)>
#<alt (/.f64 -1/2 N)>
#<alt (.f64 -1 (/.f64 (-.f64 1/2 (.f64 1/3 (/.f64 1 N))) N))>
#<alt (.f64 -1 (/.f64 (+.f64 1/2 (.f64 -1 (/.f64 (-.f64 1/3 (*.f64 1/4 (/.f64 1 N))) N))) N))>
#<alt (.f64 -1 (/.f64 (+.f64 1/2 (.f64 -1 (/.f64 (-.f64 1/3 (*.f64 1/4 (/.f64 1 N))) N))) N))>
#<alt (/.f64 -1/4 (pow.f64 N 4))>
#<alt (/.f64 (-.f64 (*.f64 1/3 N) 1/4) (pow.f64 N 4))>
#<alt (/.f64 (-.f64 (.f64 N (+.f64 1/3 (.f64 -1/2 N))) 1/4) (pow.f64 N 4))>
#<alt (/.f64 (-.f64 (.f64 N (+.f64 1/3 (.f64 N (-.f64 N 1/2)))) 1/4) (pow.f64 N 4))>
#<alt (/.f64 1 N)>
#<alt (/.f64 (-.f64 1 (*.f64 1/2 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (+.f64 (.f64 1/2 (/.f64 1 N)) (.f64 1/4 (/.f64 1 (pow.f64 N 3))))) N)>
#<alt (/.f64 1 N)>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 N)) 1) N))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)) 1) N))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/4 (/.f64 1 N)) 1/3) N)) 1/2) N)) 1) N))>

Calls

30 calls:

Time	Variable		Point	Expression
1.0ms	N	@	-inf	(/ (+ (/ 1/4 N) -1/3) N)
1.0ms	N	@	-inf	(/ (- 1 (/ 1/2 N)) N)
0.0ms	N	@	0	(/ (- 1 (/ 1/2 N)) N)
0.0ms	N	@	0	(/ (+ (/ 1/4 N) -1/3) N)
0.0ms	N	@	inf	(/ (- 1 (/ 1/2 N)) N)

rewrite273.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

328×	`associate-r`
302×	`times-frac`
284×	`frac-times`
237×	`log1p-expm1-u`
237×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	270
1	517	266

Stop Event

1×	node limit

Counts

10 → 336

Calls

Call 1

Inputs
(log1p.f64 (/.f64 1 N))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 1/3 N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
(/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)
(+.f64 -1/2 (/.f64 1/3 N))
(/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)
(+.f64 (/.f64 1/4 N) -1/3)
(/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)
(/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) (neg.f64 N))

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

simplify254.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1086×	`fma-neg`
694×	`associate-l`
648×	`associate-r`
630×	`exp-prod`
532×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	790	16151
1	1735	14785
2	5710	14433

Stop Event

1×	node limit

Counts

444 → 548

Calls

Call 1

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

eval297.0ms (3.3%)

Compiler: Compiled 9856 to 7363 computations (25.3% saved)

prune90.0ms (1%)

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	539	9	548
Fresh	0	1	1
Picked	1	4	5
Done	0	0	0
Total	540	14	554

Accuracy

100.0%

Counts

554 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.3%	(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
▶	97.9%	(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
▶	90.8%	(/.f64 (-.f64 N 1/2) (pow.f64 N 2))
✓	91.0%	(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
	90.7%	(/.f64 (-.f64 -1 (+.f64 1 (-.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 1/4 N)) N)) N) 1))) (neg.f64 N))
	95.0%	(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)
✓	93.4%	(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
	93.1%	(/.f64 (+.f64 1/3 (*.f64 N (-.f64 N 1/2))) (pow.f64 N 3))
✓	84.3%	(/.f64 1 N)
▶	90.7%	(+.f64 (/.f64 1 N) (/.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N) N))
	23.9%	(+.f64 (*.f64 2/3 (log1p.f64 N)) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) N)))
▶	93.4%	(*.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) (/.f64 1 N))
✓	99.9%	(log1p.f64 (/.f64 1 N))
▶	95.3%	(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))

Compiler

Compiled 281 to 220 computations (21.7% saved)

localize601.0ms (6.7%)

Localize:

Found 15 expressions with local error:

New	Accuracy	Program
✓	100.0%	(log.f64 (log1p.f64 (/.f64 1 N)))
	99.9%	(log1p.f64 (/.f64 1 N))
✓	95.3%	(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
✓	99.6%	(/.f64 (-.f64 N 1/2) (pow.f64 N 2))
	99.7%	(+.f64 (/.f64 1/4 N) -1/3)
✓	99.7%	(/.f64 (+.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)
✓	99.7%	(/.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N) N)
	99.5%	(/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)
✓	100.0%	(+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N))
✓	99.9%	(/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)
✓	99.8%	(*.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) (/.f64 1 N))
	99.5%	(/.f64 1/3 N)
	99.9%	(log1p.f64 (/.f64 1 N))
✓	99.0%	(cbrt.f64 (log1p.f64 (/.f64 1 N)))
✓	98.9%	(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)

Results

499.0ms	255×	256	valid
1.0ms	1×	256	valid

Compiler

Compiled 177 to 131 computations (26% saved)

Precisions

Click to see histograms. Total time spent on operations: 468.0ms

Operation ival-div, time spent: 285.0ms, 61.0% of total-time

Operation composed, time spent: 60.0ms, 13.0% of total-time

Operation ival-log, time spent: 52.0ms, 11.0% of total-time

Operation ival-add, time spent: 32.0ms, 7.0% of total-time

Operation ival-pow, time spent: 12.0ms, 3.0% of total-time

Operation const, time spent: 9.0ms, 2.0% of total-time

Operation ival-sub, time spent: 7.0ms, 1.0% of total-time

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

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

Operation ival-mult, time spent: 2.0ms, 0.0% of total-time

series20.0ms (0.2%)

Counts

10 → 117

Calls

Call 1

Inputs
#<alt (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)>
#<alt (cbrt.f64 (log1p.f64 (/.f64 1 N)))>
#<alt (*.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) (/.f64 1 N))>
#<alt (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)>
#<alt (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N))>
#<alt (/.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N) N)>
#<alt (/.f64 (+.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)>
#<alt (/.f64 (-.f64 N 1/2) (pow.f64 N 2))>
#<alt (exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))>
#<alt (log.f64 (log1p.f64 (/.f64 1 N)))>

Outputs
#<alt (*.f64 -1 (log.f64 N))>
#<alt (+.f64 N (*.f64 -1 (log.f64 N)))>
#<alt (+.f64 (.f64 -1 (log.f64 N)) (.f64 N (+.f64 1 (*.f64 -1/2 N))))>
#<alt (+.f64 (.f64 -1 (log.f64 N)) (.f64 N (+.f64 1 (.f64 N (-.f64 (.f64 1/3 N) 1/2)))))>
#<alt (/.f64 1 N)>
#<alt (/.f64 (-.f64 1 (*.f64 1/2 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (+.f64 (.f64 1/2 (/.f64 1 N)) (.f64 1/4 (/.f64 1 (pow.f64 N 3))))) N)>
#<alt (/.f64 1 N)>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 N)) 1) N))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)) 1) N))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/4 (/.f64 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (*.f64 (cbrt.f64 -1) (cbrt.f64 (log.f64 N)))>
#<alt (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 2)) 1/9) (.f64 N (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) (.f64 (cbrt.f64 -1) (cbrt.f64 (log.f64 N))))>
#<alt (+.f64 (.f64 N (+.f64 (.f64 -1/3 (.f64 (/.f64 (.f64 N (+.f64 1/2 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/9) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))))) (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 N) 2))))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 2)) 1/9) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))))) (*.f64 (cbrt.f64 -1) (cbrt.f64 (log.f64 N))))>
#<alt (+.f64 (.f64 N (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 2)) 1/9) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (.f64 N (+.f64 (.f64 -1/3 (.f64 (/.f64 (+.f64 1/2 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/9) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))))) (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 N) 2))))) (.f64 1/3 (.f64 (/.f64 (.f64 N (-.f64 1/3 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 5)) 1/9) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) (+.f64 1/2 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/9) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))))))) (.f64 1/27 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 N) 2)))))))) (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 N) 2))))))))) (*.f64 (cbrt.f64 -1) (cbrt.f64 (log.f64 N))))>
#<alt (cbrt.f64 (-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))>
#<alt (+.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))) (.f64 1/9 (.f64 (/.f64 1 (pow.f64 N 3)) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (/.f64 1 N) (.f64 1/2 (/.f64 1 (pow.f64 N 2)))) 2))))))>
#<alt (+.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))) (+.f64 (.f64 -1/12 (.f64 (/.f64 1 (pow.f64 N 4)) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (/.f64 1 N) (.f64 1/2 (/.f64 1 (pow.f64 N 2)))) 2))))) (.f64 1/9 (.f64 (/.f64 1 (pow.f64 N 3)) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) 2)))))))>
#<alt (+.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))) (+.f64 (.f64 -1/12 (.f64 (/.f64 1 (pow.f64 N 4)) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (/.f64 1 N) (.f64 1/2 (/.f64 1 (pow.f64 N 2)))) 2))))) (+.f64 (.f64 1/15 (.f64 (/.f64 1 (pow.f64 N 5)) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (/.f64 1 N) (.f64 1/2 (/.f64 1 (pow.f64 N 2)))) 2))))) (.f64 1/9 (.f64 (/.f64 1 (pow.f64 N 3)) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (/.f64 1 N) (.f64 1/2 (/.f64 1 (pow.f64 N 2)))) 2))))))))>
#<alt (cbrt.f64 (-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))>
#<alt (+.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))) (.f64 1/9 (.f64 (/.f64 1 (pow.f64 N 3)) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (/.f64 1 N) (.f64 1/2 (/.f64 1 (pow.f64 N 2)))) 2))))))>
#<alt (+.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))) (.f64 -1 (/.f64 (+.f64 (.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (/.f64 1 N) (.f64 1/2 (/.f64 1 (pow.f64 N 2)))) 2)))) (.f64 1/12 (.f64 (/.f64 1 N) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) 2)))))) (pow.f64 N 3))))>
#<alt (+.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/12 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (/.f64 1 N) (.f64 1/2 (/.f64 1 (pow.f64 N 2)))) 2)))) (.f64 1/15 (.f64 (/.f64 1 N) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (/.f64 1 N) (.f64 1/2 (/.f64 1 (pow.f64 N 2)))) 2)))))) N)) (.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (/.f64 1 N) (.f64 1/2 (/.f64 1 (pow.f64 N 2)))) 2))))) (pow.f64 N 3))))>
#<alt (/.f64 1/3 (pow.f64 N 3))>
#<alt (/.f64 (+.f64 1/3 (*.f64 -1/2 N)) (pow.f64 N 3))>
#<alt (/.f64 (+.f64 1/3 (*.f64 N (-.f64 N 1/2))) (pow.f64 N 3))>
#<alt (/.f64 (+.f64 1/3 (*.f64 N (-.f64 N 1/2))) (pow.f64 N 3))>
#<alt (/.f64 1 N)>
#<alt (/.f64 (-.f64 1 (*.f64 1/2 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N))) N)>
#<alt (/.f64 1 N)>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 N)) 1) N))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)) 1) N))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)) 1) N))>
#<alt (/.f64 1/3 (pow.f64 N 2))>
#<alt (/.f64 (+.f64 1/3 (*.f64 -1/2 N)) (pow.f64 N 2))>
#<alt (/.f64 (+.f64 1/3 (*.f64 -1/2 N)) (pow.f64 N 2))>
#<alt (/.f64 (+.f64 1/3 (*.f64 -1/2 N)) (pow.f64 N 2))>
#<alt (/.f64 -1/2 N)>
#<alt (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)>
#<alt (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)>
#<alt (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)>
#<alt (/.f64 -1/2 N)>
#<alt (.f64 -1 (/.f64 (-.f64 1/2 (.f64 1/3 (/.f64 1 N))) N))>
#<alt (.f64 -1 (/.f64 (-.f64 1/2 (.f64 1/3 (/.f64 1 N))) N))>
#<alt (.f64 -1 (/.f64 (-.f64 1/2 (.f64 1/3 (/.f64 1 N))) N))>
#<alt (/.f64 1/3 (pow.f64 N 2))>
#<alt (/.f64 (+.f64 1/3 (*.f64 -1/2 N)) (pow.f64 N 2))>
#<alt (/.f64 (+.f64 1/3 (*.f64 N (-.f64 N 1/2))) (pow.f64 N 2))>
#<alt (/.f64 (+.f64 1/3 (*.f64 N (-.f64 N 1/2))) (pow.f64 N 2))>
#<alt 1>
#<alt (-.f64 1 (*.f64 1/2 (/.f64 1 N)))>
#<alt (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N)))>
#<alt (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N)))>
#<alt 1>
#<alt (-.f64 1 (*.f64 1/2 (/.f64 1 N)))>
#<alt (+.f64 1 (.f64 -1 (/.f64 (-.f64 1/2 (.f64 1/3 (/.f64 1 N))) N)))>
#<alt (+.f64 1 (.f64 -1 (/.f64 (-.f64 1/2 (.f64 1/3 (/.f64 1 N))) N)))>
#<alt (/.f64 1/4 (pow.f64 N 4))>
#<alt (/.f64 (+.f64 1/4 (*.f64 -1/3 N)) (pow.f64 N 4))>
#<alt (/.f64 (+.f64 1/4 (.f64 N (-.f64 (.f64 -1/2 N) 1/3))) (pow.f64 N 4))>
#<alt (/.f64 (+.f64 1/4 (.f64 N (-.f64 (.f64 -1/2 N) 1/3))) (pow.f64 N 4))>
#<alt (/.f64 -1/2 (pow.f64 N 2))>
#<alt (.f64 -1 (/.f64 (+.f64 1/2 (.f64 1/3 (/.f64 1 N))) (pow.f64 N 2)))>
#<alt (/.f64 (-.f64 (/.f64 1/4 (pow.f64 N 2)) (+.f64 1/2 (*.f64 1/3 (/.f64 1 N)))) (pow.f64 N 2))>
#<alt (/.f64 (-.f64 (/.f64 1/4 (pow.f64 N 2)) (+.f64 1/2 (*.f64 1/3 (/.f64 1 N)))) (pow.f64 N 2))>
#<alt (/.f64 -1/2 (pow.f64 N 2))>
#<alt (.f64 -1 (/.f64 (+.f64 1/2 (.f64 1/3 (/.f64 1 N))) (pow.f64 N 2)))>
#<alt (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 1/3 (.f64 1/4 (/.f64 1 N))) N)) 1/2) (pow.f64 N 2))>
#<alt (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 1/3 (.f64 1/4 (/.f64 1 N))) N)) 1/2) (pow.f64 N 2))>
#<alt (/.f64 1/4 (pow.f64 N 3))>
#<alt (/.f64 (+.f64 1/4 (*.f64 -1/3 N)) (pow.f64 N 3))>
#<alt (/.f64 (+.f64 1/4 (.f64 N (-.f64 (.f64 -1/2 N) 1/3))) (pow.f64 N 3))>
#<alt (/.f64 (+.f64 1/4 (.f64 N (-.f64 (.f64 -1/2 N) 1/3))) (pow.f64 N 3))>
#<alt (/.f64 -1/2 N)>
#<alt (.f64 -1 (/.f64 (+.f64 1/2 (.f64 1/3 (/.f64 1 N))) N))>
#<alt (/.f64 (-.f64 (/.f64 1/4 (pow.f64 N 2)) (+.f64 1/2 (*.f64 1/3 (/.f64 1 N)))) N)>
#<alt (/.f64 (-.f64 (/.f64 1/4 (pow.f64 N 2)) (+.f64 1/2 (*.f64 1/3 (/.f64 1 N)))) N)>
#<alt (/.f64 -1/2 N)>
#<alt (.f64 -1 (/.f64 (+.f64 1/2 (.f64 1/3 (/.f64 1 N))) N))>
#<alt (.f64 -1 (/.f64 (+.f64 1/2 (.f64 -1 (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 N)) 1/3) N))) N))>
#<alt (.f64 -1 (/.f64 (+.f64 1/2 (.f64 -1 (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 N)) 1/3) N))) N))>
#<alt (/.f64 -1/2 (pow.f64 N 2))>
#<alt (/.f64 1 N)>
#<alt (/.f64 (-.f64 1 (*.f64 1/2 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 1 (*.f64 1/2 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 1 (*.f64 1/2 (/.f64 1 N))) N)>
#<alt (/.f64 1 N)>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 N)) 1) N))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 N)) 1) N))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 N)) 1) N))>
#<alt (*.f64 -1 (log.f64 N))>
#<alt (+.f64 N (*.f64 -1 (log.f64 N)))>
#<alt (+.f64 (.f64 -1 (log.f64 N)) (.f64 N (+.f64 1 (*.f64 -1/2 N))))>
#<alt (+.f64 (.f64 -1 (log.f64 N)) (.f64 N (+.f64 1 (.f64 N (-.f64 (.f64 1/3 N) 1/2)))))>
#<alt (/.f64 1 N)>
#<alt (/.f64 (-.f64 1 (*.f64 1/2 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (+.f64 (.f64 1/2 (/.f64 1 N)) (.f64 1/4 (/.f64 1 (pow.f64 N 3))))) N)>
#<alt (/.f64 1 N)>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 N)) 1) N))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)) 1) N))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/4 (/.f64 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (log.f64 (*.f64 -1 (log.f64 N)))>
#<alt (+.f64 (log.f64 (.f64 -1 (log.f64 N))) (.f64 -1 (/.f64 N (log.f64 N))))>
#<alt (+.f64 (log.f64 (.f64 -1 (log.f64 N))) (.f64 N (-.f64 (.f64 1/2 (.f64 N (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2))))) (/.f64 1 (log.f64 N)))))>
#<alt (+.f64 (log.f64 (.f64 -1 (log.f64 N))) (.f64 N (-.f64 (.f64 N (+.f64 (.f64 1/6 (.f64 N (-.f64 (.f64 3 (/.f64 1 (pow.f64 (log.f64 N) 2))) (+.f64 (.f64 2 (/.f64 1 (log.f64 N))) (.f64 2 (/.f64 1 (pow.f64 (log.f64 N) 3))))))) (*.f64 1/2 (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2)))))) (/.f64 1 (log.f64 N)))))>
#<alt (log.f64 (/.f64 1 N))>
#<alt (-.f64 (log.f64 (/.f64 1 N)) (*.f64 1/2 (/.f64 1 N)))>
#<alt (-.f64 (+.f64 (log.f64 (/.f64 1 N)) (/.f64 5/24 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N)))>
#<alt (-.f64 (+.f64 (log.f64 (/.f64 1 N)) (/.f64 5/24 (pow.f64 N 2))) (+.f64 (.f64 1/2 (/.f64 1 N)) (.f64 1/8 (/.f64 1 (pow.f64 N 3)))))>
#<alt (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))>
#<alt (-.f64 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))) (*.f64 1/2 (/.f64 1 N)))>
#<alt (+.f64 (log.f64 -1) (+.f64 (log.f64 (/.f64 -1 N)) (.f64 -1 (/.f64 (-.f64 1/2 (.f64 5/24 (/.f64 1 N))) N))))>
#<alt (+.f64 (log.f64 -1) (+.f64 (log.f64 (/.f64 -1 N)) (.f64 -1 (/.f64 (+.f64 1/2 (.f64 -1 (/.f64 (-.f64 5/24 (*.f64 1/8 (/.f64 1 N))) N))) N))))>

Calls

30 calls:

Time	Variable		Point	Expression
2.0ms	N	@	0	(cbrt (log (+ 1 (/ 1 N))))
1.0ms	N	@	inf	(cbrt (log (+ 1 (/ 1 N))))
1.0ms	N	@	-inf	(cbrt (log (+ 1 (/ 1 N))))
1.0ms	N	@	0	(log (log (+ 1 (/ 1 N))))
0.0ms	N	@	-inf	(log (log (+ 1 (/ 1 N))))

rewrite242.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

536×	`log1p-expm1-u`
314×	`associate-r`
286×	`frac-times`
223×	`expm1-log1p-u`
222×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	271
1	518	271
2	7479	271

Stop Event

1×	node limit

Counts

10 → 331

Calls

Call 1

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

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

simplify252.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

896×	`fma-neg`
790×	`div-sub`
670×	`*-commutative`
634×	`associate-l`
606×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	874	12884921630
1	2029	12884919923
2	6370	12884919856

Stop Event

1×	node limit

Counts

448 → 518

Calls

Call 1

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

Outputs
(*.f64 -1 (log.f64 N))
(neg.f64 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (neg.f64 (log.f64 N)))
(-.f64 N (log.f64 N))
(+.f64 (.f64 -1 (log.f64 N)) (.f64 N (+.f64 1 (*.f64 -1/2 N))))
(fma.f64 -1 (log.f64 N) (.f64 N (+.f64 1 (.f64 N -1/2))))
(-.f64 (*.f64 N (fma.f64 N -1/2 1)) (log.f64 N))
(+.f64 (.f64 -1 (log.f64 N)) (.f64 N (+.f64 1 (.f64 N (-.f64 (.f64 1/3 N) 1/2)))))
(fma.f64 -1 (log.f64 N) (.f64 N (+.f64 1 (.f64 N (fma.f64 1/3 N -1/2)))))
(-.f64 (*.f64 N (fma.f64 N (fma.f64 N 1/3 -1/2) 1)) (log.f64 N))
(/.f64 1 N)
(/.f64 (-.f64 1 (*.f64 1/2 (/.f64 1 N))) N)
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N))) N)
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (+.f64 (.f64 1/2 (/.f64 1 N)) (.f64 1/4 (/.f64 1 (pow.f64 N 3))))) N)
(/.f64 (+.f64 1 (-.f64 (/.f64 1/3 (pow.f64 N 2)) (+.f64 (/.f64 1/2 N) (/.f64 1/4 (pow.f64 N 3))))) N)
(-.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N) (/.f64 1/4 (pow.f64 N 4)))
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)
(/.f64 1 N)
(.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 N)) 1) N))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)) 1) N))
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/4 (/.f64 1 N)) 1/3) N)) 1/2) N)) 1) N))
(neg.f64 (/.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N) -1/2) N) -1) N))
(/.f64 (fma.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N) -1) (neg.f64 N))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (log.f64 N)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 2)) 1/9) (.f64 N (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) (.f64 (cbrt.f64 -1) (cbrt.f64 (log.f64 N))))
(+.f64 (.f64 (cbrt.f64 -1) (cbrt.f64 (log.f64 N))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 2)) 1/9) (.f64 N (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))))
(+.f64 (.f64 N (+.f64 (.f64 -1/3 (.f64 (/.f64 (.f64 N (+.f64 1/2 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/9) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))))) (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 N) 2))))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 2)) 1/9) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))))) (*.f64 (cbrt.f64 -1) (cbrt.f64 (log.f64 N))))
(+.f64 (.f64 (cbrt.f64 -1) (cbrt.f64 (log.f64 N))) (.f64 N (fma.f64 -1/3 (.f64 (.f64 N (/.f64 (+.f64 1/2 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/9) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))))) (pow.f64 (cbrt.f64 -1) 2))) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 N) 2)))) (.f64 (.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 2)) 1/9)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))))
(+.f64 (.f64 (.f64 (.f64 N (/.f64 (fma.f64 (.f64 1/3 (pow.f64 (/.f64 1 (log.f64 N)) 1/9)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 1/2) (pow.f64 (cbrt.f64 -1) 2))) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 N) 2)))) (.f64 N -1/3)) (+.f64 (.f64 (cbrt.f64 -1) (cbrt.f64 (log.f64 N))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 2)) 1/9) (*.f64 N (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))))))
(+.f64 (.f64 N (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 2)) 1/9) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (.f64 N (+.f64 (.f64 -1/3 (.f64 (/.f64 (+.f64 1/2 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/9) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))))) (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 N) 2))))) (.f64 1/3 (.f64 (/.f64 (.f64 N (-.f64 1/3 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 5)) 1/9) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) (+.f64 1/2 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/9) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))))))) (.f64 1/27 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 N) 2)))))))) (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 N) 2))))))))) (*.f64 (cbrt.f64 -1) (cbrt.f64 (log.f64 N))))
(+.f64 (.f64 (cbrt.f64 -1) (cbrt.f64 (log.f64 N))) (+.f64 (.f64 (.f64 (.f64 1/3 (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 2)) 1/9)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) N) (.f64 (+.f64 (.f64 (.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 N) 2))) (/.f64 (+.f64 1/2 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/9) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))))) (pow.f64 (cbrt.f64 -1) 2)))) N) (.f64 (.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 N) 2))) (.f64 N (/.f64 (-.f64 1/3 (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 5)) 1/9) (+.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) 1/2) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/9) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))))))) (.f64 1/27 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 N) 2))))))) (pow.f64 (cbrt.f64 -1) 2))))) N)) N)))
(+.f64 (+.f64 (.f64 (cbrt.f64 -1) (cbrt.f64 (log.f64 N))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 2)) 1/9) (.f64 N (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))))) (.f64 (pow.f64 N 2) (+.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 N) 2))) (.f64 -1/3 (/.f64 (fma.f64 (.f64 1/3 (pow.f64 (/.f64 1 (log.f64 N)) 1/9)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 1/2) (pow.f64 (cbrt.f64 -1) 2)))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 N) 2))) (.f64 1/3 (.f64 (+.f64 (+.f64 1/3 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 N) 5)) 1/9) (.f64 (fma.f64 (.f64 1/3 (pow.f64 (/.f64 1 (log.f64 N)) 1/9)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 1/2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))))))) (neg.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 N) 2))) (/.f64 1/27 (pow.f64 (cbrt.f64 -1) 2))))) (/.f64 N (pow.f64 (cbrt.f64 -1) 2))))))))
(cbrt.f64 (-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(cbrt.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(+.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))) (.f64 1/9 (.f64 (/.f64 1 (pow.f64 N 3)) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (/.f64 1 N) (.f64 1/2 (/.f64 1 (pow.f64 N 2)))) 2))))))
(+.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))) (.f64 1/9 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) 2))) (/.f64 1 (pow.f64 N 3)))))
(fma.f64 1/9 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 2))) (pow.f64 N 3)) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(+.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))) (+.f64 (.f64 -1/12 (.f64 (/.f64 1 (pow.f64 N 4)) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (/.f64 1 N) (.f64 1/2 (/.f64 1 (pow.f64 N 2)))) 2))))) (.f64 1/9 (.f64 (/.f64 1 (pow.f64 N 3)) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) 2)))))))
(+.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))) (fma.f64 -1/12 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) 2))) (/.f64 1 (pow.f64 N 4))) (.f64 1/9 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) 2))) (/.f64 1 (pow.f64 N 3))))))
(+.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 2))) (+.f64 (/.f64 1/9 (pow.f64 N 3)) (/.f64 -1/12 (pow.f64 N 4)))))
(+.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))) (+.f64 (.f64 -1/12 (.f64 (/.f64 1 (pow.f64 N 4)) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (/.f64 1 N) (.f64 1/2 (/.f64 1 (pow.f64 N 2)))) 2))))) (+.f64 (.f64 1/15 (.f64 (/.f64 1 (pow.f64 N 5)) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (/.f64 1 N) (.f64 1/2 (/.f64 1 (pow.f64 N 2)))) 2))))) (.f64 1/9 (.f64 (/.f64 1 (pow.f64 N 3)) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (/.f64 1 N) (.f64 1/2 (/.f64 1 (pow.f64 N 2)))) 2))))))))
(+.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))) (fma.f64 -1/12 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) 2))) (/.f64 1 (pow.f64 N 4))) (fma.f64 1/15 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) 2))) (/.f64 1 (pow.f64 N 5))) (.f64 1/9 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) 2))) (/.f64 1 (pow.f64 N 3)))))))
(+.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (fma.f64 -1/12 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 2))) (pow.f64 N 4)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 2))) (+.f64 (/.f64 1/9 (pow.f64 N 3)) (/.f64 1/15 (pow.f64 N 5))))))
(cbrt.f64 (-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(cbrt.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N))
(+.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))) (.f64 1/9 (.f64 (/.f64 1 (pow.f64 N 3)) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (/.f64 1 N) (.f64 1/2 (/.f64 1 (pow.f64 N 2)))) 2))))))
(+.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))) (.f64 1/9 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) 2))) (/.f64 1 (pow.f64 N 3)))))
(fma.f64 1/9 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 2))) (pow.f64 N 3)) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)))
(+.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))) (.f64 -1 (/.f64 (+.f64 (.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (/.f64 1 N) (.f64 1/2 (/.f64 1 (pow.f64 N 2)))) 2)))) (.f64 1/12 (.f64 (/.f64 1 N) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) 2)))))) (pow.f64 N 3))))
(+.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))) (neg.f64 (/.f64 (fma.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) 2))) (.f64 1/12 (.f64 (/.f64 1 N) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) 2)))))) (pow.f64 N 3))))
(-.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (/.f64 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 2))) (+.f64 -1/9 (/.f64 1/12 N))) (pow.f64 N 3)))
(+.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/12 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (/.f64 1 N) (.f64 1/2 (/.f64 1 (pow.f64 N 2)))) 2)))) (.f64 1/15 (.f64 (/.f64 1 N) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (/.f64 1 N) (.f64 1/2 (/.f64 1 (pow.f64 N 2)))) 2)))))) N)) (.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (/.f64 1 N) (.f64 1/2 (/.f64 1 (pow.f64 N 2)))) 2))))) (pow.f64 N 3))))
(+.f64 (cbrt.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))) (neg.f64 (/.f64 (fma.f64 -1 (/.f64 (fma.f64 -1/12 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) 2))) (.f64 1/15 (.f64 (/.f64 1 N) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) 2)))))) N) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) 2))) -1/9)) (pow.f64 N 3))))
(-.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N)) (/.f64 (-.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 2))) -1/9) (/.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (/.f64 (+.f64 1 (/.f64 -1/2 N)) N) 2))) (+.f64 -1/12 (/.f64 1/15 N))) N)) (pow.f64 N 3)))
(/.f64 1/3 (pow.f64 N 3))
(/.f64 (+.f64 1/3 (*.f64 -1/2 N)) (pow.f64 N 3))
(/.f64 (+.f64 (*.f64 N -1/2) 1/3) (pow.f64 N 3))
(/.f64 (fma.f64 N -1/2 1/3) (pow.f64 N 3))
(/.f64 (+.f64 1/3 (*.f64 N (-.f64 N 1/2))) (pow.f64 N 3))
(/.f64 (+.f64 1/3 (*.f64 N (+.f64 N -1/2))) (pow.f64 N 3))
(/.f64 (fma.f64 N (+.f64 N -1/2) 1/3) (pow.f64 N 3))
(/.f64 (+.f64 1/3 (*.f64 N (-.f64 N 1/2))) (pow.f64 N 3))
(/.f64 (+.f64 1/3 (*.f64 N (+.f64 N -1/2))) (pow.f64 N 3))
(/.f64 (fma.f64 N (+.f64 N -1/2) 1/3) (pow.f64 N 3))
(/.f64 1 N)
(/.f64 (-.f64 1 (*.f64 1/2 (/.f64 1 N))) N)
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N))) N)
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N))) N)
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
(/.f64 1 N)
(.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 N)) 1) N))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)) 1) N))
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)) 1) N))
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
(/.f64 1/3 (pow.f64 N 2))
(/.f64 (+.f64 1/3 (*.f64 -1/2 N)) (pow.f64 N 2))
(/.f64 (+.f64 (*.f64 N -1/2) 1/3) (pow.f64 N 2))
(/.f64 (fma.f64 N -1/2 1/3) (pow.f64 N 2))
(/.f64 (+.f64 1/3 (*.f64 -1/2 N)) (pow.f64 N 2))
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(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
(exp.f64 (log.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -2))))
(+.f64 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2)))
(fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N))
(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 N -1/2) (pow.f64 N -2))) 1))
(+.f64 (/.f64 1 N) (*.f64 -1/2 (pow.f64 N -2)))
(fma.f64 -1/2 (pow.f64 N -2) (/.f64 1 N))
(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 1 N)))) 1)
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 1 (log1p.f64 (/.f64 1 N)))
(log1p.f64 (/.f64 1 N))
(*.f64 (log1p.f64 (/.f64 1 N)) 1)
(log1p.f64 (/.f64 1 N))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))) (.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))) (.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))))))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))) 4))
(.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) (.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(log1p.f64 (/.f64 1 N))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))) 3) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) 3) (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) 3))
(log1p.f64 (/.f64 1 N))
(.f64 (.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)) 1) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)))) (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))) (.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))))))
(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))) 4))
(.f64 (.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)))
(pow.f64 (log1p.f64 (/.f64 1 N)) 1)
(log1p.f64 (/.f64 1 N))
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
(log1p.f64 (/.f64 1 N))
(pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)) 3/2)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
(log1p.f64 (/.f64 1 N))
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
(log1p.f64 (/.f64 1 N))
(pow.f64 (exp.f64 1) (log.f64 (log1p.f64 (/.f64 1 N))))
(log1p.f64 (/.f64 1 N))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 (/.f64 1 N)))) 2)) (cbrt.f64 (log.f64 (log1p.f64 (/.f64 1 N)))))
(log1p.f64 (/.f64 1 N))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (log1p.f64 (/.f64 1 N))))) (sqrt.f64 (log.f64 (log1p.f64 (/.f64 1 N)))))
(log1p.f64 (/.f64 1 N))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))
(log1p.f64 (/.f64 1 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(log1p.f64 (/.f64 1 N))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
(log1p.f64 (/.f64 1 N))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
(log1p.f64 (/.f64 1 N))
(+.f64 (log.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) (log.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))))
(+.f64 0 (log.f64 (log1p.f64 (/.f64 1 N))))
(log.f64 (log1p.f64 (/.f64 1 N)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))) (log.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(+.f64 (log.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) (log.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))))
(+.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 2 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (log1p.f64 (/.f64 1 N))))) 1)
(expm1.f64 (log1p.f64 (log.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 1 (log.f64 (log1p.f64 (/.f64 1 N))))
(log.f64 (log1p.f64 (/.f64 1 N)))
(*.f64 3 (log.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 1)
(log.f64 (log1p.f64 (/.f64 1 N)))
(*.f64 (log.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) 3)
(*.f64 3 (log.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (cbrt.f64 (log.f64 (log1p.f64 (/.f64 1 N)))) (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 (/.f64 1 N)))) 2))
(log.f64 (log1p.f64 (/.f64 1 N)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (log1p.f64 (/.f64 1 N)))) 2) (cbrt.f64 (log.f64 (log1p.f64 (/.f64 1 N)))))
(log.f64 (log1p.f64 (/.f64 1 N)))
(*.f64 (sqrt.f64 (log.f64 (log1p.f64 (/.f64 1 N)))) (sqrt.f64 (log.f64 (log1p.f64 (/.f64 1 N)))))
(log.f64 (log1p.f64 (/.f64 1 N)))
(pow.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 1)
(log.f64 (log1p.f64 (/.f64 1 N)))
(pow.f64 (cbrt.f64 (log.f64 (log1p.f64 (/.f64 1 N)))) 3)
(log.f64 (log1p.f64 (/.f64 1 N)))
(pow.f64 (pow.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 3) 1/3)
(log.f64 (log1p.f64 (/.f64 1 N)))
(pow.f64 (sqrt.f64 (log.f64 (log1p.f64 (/.f64 1 N)))) 2)
(log.f64 (log1p.f64 (/.f64 1 N)))
(sqrt.f64 (pow.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 2))
(log.f64 (log1p.f64 (/.f64 1 N)))
(cbrt.f64 (pow.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 3))
(log.f64 (log1p.f64 (/.f64 1 N)))
(expm1.f64 (log1p.f64 (log.f64 (log1p.f64 (/.f64 1 N)))))
(log1p.f64 (-.f64 (log1p.f64 (/.f64 1 N)) 1))
(log.f64 (log1p.f64 (/.f64 1 N)))
(exp.f64 (log.f64 (log.f64 (log1p.f64 (/.f64 1 N)))))
(log.f64 (log1p.f64 (/.f64 1 N)))
(exp.f64 (*.f64 (log.f64 (log.f64 (log1p.f64 (/.f64 1 N)))) 1))
(log.f64 (log1p.f64 (/.f64 1 N)))

eval361.0ms (4%)

Compiler: Compiled 15401 to 11974 computations (22.3% saved)

prune133.0ms (1.5%)

Pruning

16 alts after pruning (9 fresh and 7 done)

	Pruned	Kept	Total
New	813	6	819
Fresh	2	3	5
Picked	2	3	5
Done	0	4	4
Total	817	16	833

Accuracy

100.0%

Counts

833 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.3%	(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
✓	97.9%	(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
✓	91.0%	(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
▶	95.0%	(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)
✓	93.4%	(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
	93.5%	(/.f64 1 (/.f64 N (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N))))
✓	84.3%	(/.f64 1 N)
	91.1%	(+.f64 (/.f64 1 N) (/.f64 (/.f64 (+.f64 -1/2 (/.f64 (/.f64 1/4 N) N)) N) N))
	94.9%	(+.f64 (/.f64 1 N) (/.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N) N))
▶	93.4%	(+.f64 (/.f64 1 N) (*.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N) (/.f64 1 N)))
	23.9%	(+.f64 (*.f64 2/3 (log1p.f64 N)) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) N)))
▶	96.4%	(.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) (.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))))
▶	91.0%	(*.f64 (/.f64 1 N) (/.f64 (+.f64 N -1/2) N))
✓	93.4%	(*.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) (/.f64 1 N))
✓	99.9%	(log1p.f64 (/.f64 1 N))
✓	95.3%	(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))

Compiler

Compiled 326 to 252 computations (22.7% saved)

localize669.0ms (7.5%)

Localize:

Found 17 expressions with local error:

New	Accuracy	Program
	99.9%	(log1p.f64 (/.f64 1 N))
✓	98.9%	(pow.f64 (log1p.f64 (/.f64 1 N)) 3)
✓	94.2%	(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
✓	99.9%	(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)
✓	99.8%	(/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)
✓	99.7%	(+.f64 1/3 (/.f64 -1/4 N))
✓	99.5%	(/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)
	99.9%	(/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)
✓	99.8%	(+.f64 (/.f64 1 N) (*.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N) (/.f64 1 N)))
	99.5%	(/.f64 1/3 N)
✓	99.3%	(*.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N) (/.f64 1 N))
✓	100.0%	(/.f64 (+.f64 N -1/2) N)
✓	99.8%	(*.f64 (/.f64 1 N) (/.f64 (+.f64 N -1/2) N))
✓	99.4%	(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)))
✓	99.2%	(pow.f64 (log1p.f64 (/.f64 1 N)) 2)
✓	99.0%	(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))
✓	97.3%	(pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)

Results

552.0ms	255×	256	valid
2.0ms	1×	256	valid

Compiler

Compiled 231 to 177 computations (23.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 518.0ms

Operation composed, time spent: 123.0ms, 24.0% of total-time

Operation ival-div, time spent: 98.0ms, 19.0% of total-time

Operation ival-log, time spent: 92.0ms, 18.0% of total-time

Operation ival-pow, time spent: 77.0ms, 15.0% of total-time

Operation ival-mult, time spent: 61.0ms, 12.0% of total-time

Operation ival-add, time spent: 48.0ms, 9.0% of total-time

Operation const, time spent: 13.0ms, 3.0% of total-time

Operation ival-cbrt, time spent: 6.0ms, 1.0% of total-time

series37.0ms (0.4%)

Counts

14 → 168

Calls

Call 1

Inputs
#<alt (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6)>
#<alt (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))>
#<alt (pow.f64 (log1p.f64 (/.f64 1 N)) 2)>
#<alt (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/6) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)))>
#<alt (*.f64 (/.f64 1 N) (/.f64 (+.f64 N -1/2) N))>
#<alt (/.f64 (+.f64 N -1/2) N)>
#<alt (*.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N) (/.f64 1 N))>
#<alt (+.f64 (/.f64 1 N) (*.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N) (/.f64 1 N)))>
#<alt (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)>
#<alt (+.f64 1/3 (/.f64 -1/4 N))>
#<alt (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)>
#<alt (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)>
#<alt (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)>
#<alt (pow.f64 (log1p.f64 (/.f64 1 N)) 3)>

Outputs
#<alt (pow.f64 (*.f64 -1 (log.f64 N)) 1/6)>
#<alt (+.f64 (.f64 -1/6 (.f64 (pow.f64 (/.f64 -1 (pow.f64 (log.f64 N) 5)) 1/6) N)) (pow.f64 (*.f64 -1 (log.f64 N)) 1/6))>
#<alt (+.f64 (.f64 N (+.f64 (.f64 -1/6 (pow.f64 (/.f64 -1 (pow.f64 (log.f64 N) 5)) 1/6)) (.f64 (pow.f64 (.f64 -1 (log.f64 N)) 1/6) (.f64 N (+.f64 (.f64 1/12 (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2)))) (.f64 1/72 (/.f64 1 (pow.f64 (log.f64 N) 2)))))))) (pow.f64 (.f64 -1 (log.f64 N)) 1/6))>
#<alt (+.f64 (.f64 N (+.f64 (.f64 -1/6 (pow.f64 (/.f64 -1 (pow.f64 (log.f64 N) 5)) 1/6)) (.f64 N (+.f64 (.f64 (pow.f64 (.f64 -1 (log.f64 N)) 1/6) (.f64 N (-.f64 (+.f64 (.f64 -1/72 (/.f64 (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2))) (log.f64 N))) (.f64 1/36 (-.f64 (.f64 3 (/.f64 1 (pow.f64 (log.f64 N) 2))) (+.f64 (.f64 2 (/.f64 1 (log.f64 N))) (.f64 2 (/.f64 1 (pow.f64 (log.f64 N) 3))))))) (.f64 1/1296 (/.f64 1 (pow.f64 (log.f64 N) 3)))))) (.f64 (pow.f64 (.f64 -1 (log.f64 N)) 1/6) (+.f64 (.f64 1/12 (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2)))) (.f64 1/72 (/.f64 1 (pow.f64 (log.f64 N) 2))))))))) (pow.f64 (*.f64 -1 (log.f64 N)) 1/6))>
#<alt (pow.f64 (/.f64 1 N) 1/6)>
#<alt (+.f64 (*.f64 -1/12 (pow.f64 (/.f64 1 (pow.f64 N 7)) 1/6)) (pow.f64 (/.f64 1 N) 1/6))>
#<alt (+.f64 (.f64 -1/12 (pow.f64 (/.f64 1 (pow.f64 N 7)) 1/6)) (+.f64 (.f64 11/288 (pow.f64 (/.f64 1 (pow.f64 N 13)) 1/6)) (pow.f64 (/.f64 1 N) 1/6)))>
#<alt (+.f64 (.f64 -1/12 (pow.f64 (/.f64 1 (pow.f64 N 7)) 1/6)) (+.f64 (.f64 -247/10368 (pow.f64 (/.f64 1 (pow.f64 N 19)) 1/6)) (+.f64 (*.f64 11/288 (pow.f64 (/.f64 1 (pow.f64 N 13)) 1/6)) (pow.f64 (/.f64 1 N) 1/6))))>
#<alt (exp.f64 (*.f64 1/6 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))))>
#<alt (+.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) (.f64 -1/12 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) N)))>
#<alt (+.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) (.f64 -1 (/.f64 (+.f64 (.f64 -11/288 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) N)) (.f64 1/12 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))))) N)))>
#<alt (+.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -247/10368 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) N)) (.f64 11/288 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))))) N)) (.f64 1/12 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))))) N)))>
#<alt (cbrt.f64 (pow.f64 (log.f64 N) 2))>
#<alt (+.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2)) (.f64 -2/3 (.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 N) 5)) 1/9) N)))>
#<alt (+.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2)) (.f64 N (+.f64 (.f64 -2/3 (pow.f64 (.f64 1 (pow.f64 (log.f64 N) 5)) 1/9)) (.f64 1/3 (.f64 (.f64 N (-.f64 (+.f64 1 (log.f64 N)) (.f64 4/3 (pow.f64 (.f64 1 (pow.f64 (log.f64 N) 16)) 1/9)))) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 N) 4))))))))>
#<alt (+.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2)) (.f64 N (+.f64 (.f64 -2/3 (pow.f64 (.f64 1 (pow.f64 (log.f64 N) 5)) 1/9)) (.f64 N (+.f64 (.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 N) 4))) (-.f64 (+.f64 1 (log.f64 N)) (.f64 4/3 (pow.f64 (.f64 1 (pow.f64 (log.f64 N) 16)) 1/9))))) (.f64 1/3 (.f64 (.f64 N (-.f64 (.f64 -2/3 (log.f64 N)) (+.f64 1 (+.f64 (.f64 -4/3 (.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/9) (-.f64 (+.f64 1 (log.f64 N)) (.f64 4/3 (pow.f64 (.f64 1 (pow.f64 (log.f64 N) 16)) 1/9))))) (*.f64 -8/27 (cbrt.f64 (pow.f64 (log.f64 N) 5))))))) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 N) 4))))))))))>
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#<alt (pow.f64 (/.f64 1 (pow.f64 N 5)) 1/6)>
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#<alt (/.f64 1 N)>
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#<alt (*.f64 -1 (log.f64 N))>
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#<alt (/.f64 1 N)>
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#<alt (*.f64 -1 (pow.f64 (log.f64 N) 3))>
#<alt (+.f64 (.f64 -1 (pow.f64 (log.f64 N) 3)) (.f64 N (+.f64 (*.f64 2 (pow.f64 (log.f64 N) 2)) (pow.f64 (log.f64 N) 2))))>
#<alt (+.f64 (.f64 -1 (pow.f64 (log.f64 N) 3)) (.f64 N (+.f64 (.f64 2 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 N (+.f64 (.f64 -2 (log.f64 N)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 1 (log.f64 N)))) (.f64 -1/2 (pow.f64 (log.f64 N) 2))))) (pow.f64 (log.f64 N) 2)))))>
#<alt (+.f64 (.f64 -1 (pow.f64 (log.f64 N) 3)) (.f64 N (+.f64 (.f64 2 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 N (+.f64 (.f64 -2 (log.f64 N)) (+.f64 (.f64 -1 (.f64 (log.f64 N) (+.f64 1 (log.f64 N)))) (+.f64 (.f64 -1/2 (pow.f64 (log.f64 N) 2)) (.f64 N (+.f64 1 (+.f64 (.f64 -1 (.f64 (log.f64 N) (-.f64 (.f64 -2/3 (log.f64 N)) 1))) (+.f64 (.f64 1/3 (pow.f64 (log.f64 N) 2)) (.f64 2 (log.f64 N)))))))))) (pow.f64 (log.f64 N) 2)))))>
#<alt (/.f64 1 (pow.f64 N 3))>
#<alt (/.f64 (-.f64 1 (*.f64 3/2 (/.f64 1 N))) (pow.f64 N 3))>
#<alt (/.f64 (-.f64 (+.f64 1 (/.f64 7/4 (pow.f64 N 2))) (*.f64 3/2 (/.f64 1 N))) (pow.f64 N 3))>
#<alt (/.f64 (-.f64 (+.f64 1 (/.f64 7/4 (pow.f64 N 2))) (+.f64 (.f64 3/2 (/.f64 1 N)) (.f64 15/8 (/.f64 1 (pow.f64 N 3))))) (pow.f64 N 3))>
#<alt (/.f64 1 (pow.f64 N 3))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 3/2 (/.f64 1 N)) 1) (pow.f64 N 3)))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (*.f64 7/4 (/.f64 1 N)) 3/2) N)) 1) (pow.f64 N 3)))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 15/8 (/.f64 1 N)) 7/4) N)) 3/2) N)) 1) (pow.f64 N 3)))>

Calls

42 calls:

Time	Variable		Point	Expression
5.0ms	N	@	0	(* (pow (log (+ 1 (/ 1 N))) 1/6) (cbrt (pow (log (+ 1 (/ 1 N))) 2)))
4.0ms	N	@	-inf	(/ (+ -1/2 (/ (+ 1/3 (/ -1/4 N)) N)) N)
2.0ms	N	@	0	(cbrt (pow (log (+ 1 (/ 1 N))) 2))
1.0ms	N	@	0	(pow (log (+ 1 (/ 1 N))) 1/6)
1.0ms	N	@	-inf	(* (pow (log (+ 1 (/ 1 N))) 1/6) (cbrt (pow (log (+ 1 (/ 1 N))) 2)))

rewrite130.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

440×	`associate-r`
390×	`frac-times`
268×	`log1p-expm1-u`
268×	`expm1-log1p-u`
258×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	410
1	605	390

Stop Event

1×	node limit

Counts

14 → 378

Calls

Call 1

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

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

simplify222.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1074×	`fma-define`
952×	`associate-r`
740×	`distribute-rgt-in`
732×	`distribute-lft-in`
616×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1311	17179892999
1	3232	17179891766

Stop Event

1×	node limit

Counts

546 → 716

Calls

Call 1

Inputs
(pow.f64 (*.f64 -1 (log.f64 N)) 1/6)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 (/.f64 -1 (pow.f64 (log.f64 N) 5)) 1/6) N)) (pow.f64 (*.f64 -1 (log.f64 N)) 1/6))
(+.f64 (.f64 N (+.f64 (.f64 -1/6 (pow.f64 (/.f64 -1 (pow.f64 (log.f64 N) 5)) 1/6)) (.f64 (pow.f64 (.f64 -1 (log.f64 N)) 1/6) (.f64 N (+.f64 (.f64 1/12 (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2)))) (.f64 1/72 (/.f64 1 (pow.f64 (log.f64 N) 2)))))))) (pow.f64 (.f64 -1 (log.f64 N)) 1/6))
(+.f64 (.f64 N (+.f64 (.f64 -1/6 (pow.f64 (/.f64 -1 (pow.f64 (log.f64 N) 5)) 1/6)) (.f64 N (+.f64 (.f64 (pow.f64 (.f64 -1 (log.f64 N)) 1/6) (.f64 N (-.f64 (+.f64 (.f64 -1/72 (/.f64 (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2))) (log.f64 N))) (.f64 1/36 (-.f64 (.f64 3 (/.f64 1 (pow.f64 (log.f64 N) 2))) (+.f64 (.f64 2 (/.f64 1 (log.f64 N))) (.f64 2 (/.f64 1 (pow.f64 (log.f64 N) 3))))))) (.f64 1/1296 (/.f64 1 (pow.f64 (log.f64 N) 3)))))) (.f64 (pow.f64 (.f64 -1 (log.f64 N)) 1/6) (+.f64 (.f64 1/12 (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2)))) (.f64 1/72 (/.f64 1 (pow.f64 (log.f64 N) 2))))))))) (pow.f64 (*.f64 -1 (log.f64 N)) 1/6))
(pow.f64 (/.f64 1 N) 1/6)
(+.f64 (*.f64 -1/12 (pow.f64 (/.f64 1 (pow.f64 N 7)) 1/6)) (pow.f64 (/.f64 1 N) 1/6))
(+.f64 (.f64 -1/12 (pow.f64 (/.f64 1 (pow.f64 N 7)) 1/6)) (+.f64 (.f64 11/288 (pow.f64 (/.f64 1 (pow.f64 N 13)) 1/6)) (pow.f64 (/.f64 1 N) 1/6)))
(+.f64 (.f64 -1/12 (pow.f64 (/.f64 1 (pow.f64 N 7)) 1/6)) (+.f64 (.f64 -247/10368 (pow.f64 (/.f64 1 (pow.f64 N 19)) 1/6)) (+.f64 (*.f64 11/288 (pow.f64 (/.f64 1 (pow.f64 N 13)) 1/6)) (pow.f64 (/.f64 1 N) 1/6))))
(exp.f64 (*.f64 1/6 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))))
(+.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) (.f64 -1/12 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) N)))
(+.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) (.f64 -1 (/.f64 (+.f64 (.f64 -11/288 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) N)) (.f64 1/12 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))))) N)))
(+.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -247/10368 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) N)) (.f64 11/288 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))))) N)) (.f64 1/12 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))))) N)))
(cbrt.f64 (pow.f64 (log.f64 N) 2))
(+.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2)) (.f64 -2/3 (.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 N) 5)) 1/9) N)))
(+.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2)) (.f64 N (+.f64 (.f64 -2/3 (pow.f64 (.f64 1 (pow.f64 (log.f64 N) 5)) 1/9)) (.f64 1/3 (.f64 (.f64 N (-.f64 (+.f64 1 (log.f64 N)) (.f64 4/3 (pow.f64 (.f64 1 (pow.f64 (log.f64 N) 16)) 1/9)))) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 N) 4))))))))
(+.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2)) (.f64 N (+.f64 (.f64 -2/3 (pow.f64 (.f64 1 (pow.f64 (log.f64 N) 5)) 1/9)) (.f64 N (+.f64 (.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 N) 4))) (-.f64 (+.f64 1 (log.f64 N)) (.f64 4/3 (pow.f64 (.f64 1 (pow.f64 (log.f64 N) 16)) 1/9))))) (.f64 1/3 (.f64 (.f64 N (-.f64 (.f64 -2/3 (log.f64 N)) (+.f64 1 (+.f64 (.f64 -4/3 (.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/9) (-.f64 (+.f64 1 (log.f64 N)) (.f64 4/3 (pow.f64 (.f64 1 (pow.f64 (log.f64 N) 16)) 1/9))))) (*.f64 -8/27 (cbrt.f64 (pow.f64 (log.f64 N) 5))))))) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 N) 4))))))))))
(cbrt.f64 (/.f64 1 (pow.f64 N 2)))
(+.f64 (cbrt.f64 (/.f64 1 (pow.f64 N 2))) (*.f64 -1/3 (cbrt.f64 (/.f64 1 (pow.f64 N 5)))))
(+.f64 (cbrt.f64 (/.f64 1 (pow.f64 N 2))) (+.f64 (.f64 -1/3 (cbrt.f64 (/.f64 1 (pow.f64 N 5)))) (.f64 11/36 (cbrt.f64 (/.f64 1 (pow.f64 N 8))))))
(+.f64 (cbrt.f64 (/.f64 1 (pow.f64 N 2))) (+.f64 (.f64 -1/3 (cbrt.f64 (/.f64 1 (pow.f64 N 5)))) (+.f64 (.f64 -5/18 (cbrt.f64 (/.f64 1 (pow.f64 N 11)))) (*.f64 11/36 (cbrt.f64 (/.f64 1 (pow.f64 N 8)))))))
(cbrt.f64 (/.f64 1 (pow.f64 N 2)))
(+.f64 (cbrt.f64 (/.f64 1 (pow.f64 N 2))) (*.f64 -1/3 (cbrt.f64 (/.f64 1 (pow.f64 N 5)))))
(+.f64 (cbrt.f64 (/.f64 1 (pow.f64 N 2))) (.f64 -1 (/.f64 (+.f64 (.f64 -11/36 (cbrt.f64 N)) (*.f64 1/3 (cbrt.f64 (pow.f64 N 4)))) (pow.f64 N 3))))
(+.f64 (cbrt.f64 (/.f64 1 (pow.f64 N 2))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -5/18 (cbrt.f64 N)) (.f64 11/36 (cbrt.f64 (pow.f64 N 4)))) N)) (*.f64 1/3 (cbrt.f64 (pow.f64 N 4)))) (pow.f64 N 3))))
(pow.f64 (log.f64 N) 2)
(+.f64 (.f64 -2 (.f64 N (log.f64 N))) (pow.f64 (log.f64 N) 2))
(+.f64 (.f64 N (+.f64 (.f64 -2 (log.f64 N)) (*.f64 N (+.f64 1 (log.f64 N))))) (pow.f64 (log.f64 N) 2))
(+.f64 (.f64 N (+.f64 (.f64 -2 (log.f64 N)) (.f64 N (+.f64 1 (+.f64 (log.f64 N) (.f64 N (-.f64 (*.f64 -2/3 (log.f64 N)) 1))))))) (pow.f64 (log.f64 N) 2))
(/.f64 1 (pow.f64 N 2))
(/.f64 (-.f64 1 (/.f64 1 N)) (pow.f64 N 2))
(/.f64 (-.f64 (+.f64 1 (/.f64 11/12 (pow.f64 N 2))) (/.f64 1 N)) (pow.f64 N 2))
(/.f64 (-.f64 (+.f64 1 (/.f64 11/12 (pow.f64 N 2))) (+.f64 (/.f64 1 N) (*.f64 5/6 (/.f64 1 (pow.f64 N 3))))) (pow.f64 N 2))
(/.f64 1 (pow.f64 N 2))
(/.f64 (-.f64 1 (/.f64 1 N)) (pow.f64 N 2))
(/.f64 (+.f64 1 (.f64 -1 (/.f64 (-.f64 1 (.f64 11/12 (/.f64 1 N))) N))) (pow.f64 N 2))
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(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) 3) (pow.f64 N -3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) 3) (pow.f64 N 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) (log.f64 N)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) (log.f64 N)) 1))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 1 N)))) 1)
(*.f64 1 (log1p.f64 (/.f64 1 N)))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (pow.f64 1 1/3) (log1p.f64 (/.f64 1 N)))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2) 1/3) (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2) 1/3))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))
(fabs.f64 (log1p.f64 (/.f64 1 N)))
(log.f64 (+.f64 1 (/.f64 1 N)))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
(log1p.f64 (/.f64 1 N))
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))) 1)
(*.f64 1 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
(*.f64 (log1p.f64 (/.f64 1 N)) (pow.f64 (log1p.f64 (/.f64 1 N)) 2))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) (log1p.f64 (/.f64 1 N)))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2) (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 3) (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 3))
(.f64 (.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) 1) (log1p.f64 (/.f64 1 N)))
(.f64 (.f64 (log1p.f64 (/.f64 1 N)) 1) (pow.f64 (log1p.f64 (/.f64 1 N)) 2))
(.f64 (.f64 (log1p.f64 (/.f64 1 N)) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 4))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)))
(.f64 (.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(.f64 (.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) (sqrt.f64 (log1p.f64 (/.f64 1 N)))) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 6))
(log.f64 (exp.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 3))
(cbrt.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) (pow.f64 (log1p.f64 (/.f64 1 N)) 6)))
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3)))
(exp.f64 (*.f64 3 (log.f64 (log1p.f64 (/.f64 1 N)))))
(exp.f64 (.f64 (.f64 3 (log.f64 (log1p.f64 (/.f64 1 N)))) 1))

Outputs
(pow.f64 (*.f64 -1 (log.f64 N)) 1/6)
(pow.f64 (neg.f64 (log.f64 N)) 1/6)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 (/.f64 -1 (pow.f64 (log.f64 N) 5)) 1/6) N)) (pow.f64 (*.f64 -1 (log.f64 N)) 1/6))
(fma.f64 -1/6 (*.f64 N (pow.f64 (/.f64 -1 (pow.f64 (log.f64 N) 5)) 1/6)) (pow.f64 (neg.f64 (log.f64 N)) 1/6))
(+.f64 (.f64 N (+.f64 (.f64 -1/6 (pow.f64 (/.f64 -1 (pow.f64 (log.f64 N) 5)) 1/6)) (.f64 (pow.f64 (.f64 -1 (log.f64 N)) 1/6) (.f64 N (+.f64 (.f64 1/12 (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2)))) (.f64 1/72 (/.f64 1 (pow.f64 (log.f64 N) 2)))))))) (pow.f64 (.f64 -1 (log.f64 N)) 1/6))
(fma.f64 N (fma.f64 -1/6 (pow.f64 (/.f64 -1 (pow.f64 (log.f64 N) 5)) 1/6) (.f64 (pow.f64 (neg.f64 (log.f64 N)) 1/6) (.f64 N (fma.f64 1/12 (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2))) (/.f64 1/72 (pow.f64 (log.f64 N) 2)))))) (pow.f64 (neg.f64 (log.f64 N)) 1/6))
(fma.f64 N (fma.f64 (pow.f64 (neg.f64 (log.f64 N)) 1/6) (.f64 N (fma.f64 1/12 (+.f64 (/.f64 1 (log.f64 N)) (/.f64 -1 (pow.f64 (log.f64 N) 2))) (/.f64 1/72 (pow.f64 (log.f64 N) 2)))) (.f64 -1/6 (pow.f64 (/.f64 -1 (pow.f64 (log.f64 N) 5)) 1/6))) (pow.f64 (neg.f64 (log.f64 N)) 1/6))
(+.f64 (.f64 N (+.f64 (.f64 -1/6 (pow.f64 (/.f64 -1 (pow.f64 (log.f64 N) 5)) 1/6)) (.f64 N (+.f64 (.f64 (pow.f64 (.f64 -1 (log.f64 N)) 1/6) (.f64 N (-.f64 (+.f64 (.f64 -1/72 (/.f64 (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2))) (log.f64 N))) (.f64 1/36 (-.f64 (.f64 3 (/.f64 1 (pow.f64 (log.f64 N) 2))) (+.f64 (.f64 2 (/.f64 1 (log.f64 N))) (.f64 2 (/.f64 1 (pow.f64 (log.f64 N) 3))))))) (.f64 1/1296 (/.f64 1 (pow.f64 (log.f64 N) 3)))))) (.f64 (pow.f64 (.f64 -1 (log.f64 N)) 1/6) (+.f64 (.f64 1/12 (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2)))) (.f64 1/72 (/.f64 1 (pow.f64 (log.f64 N) 2))))))))) (pow.f64 (*.f64 -1 (log.f64 N)) 1/6))
(fma.f64 N (fma.f64 -1/6 (pow.f64 (/.f64 -1 (pow.f64 (log.f64 N) 5)) 1/6) (.f64 N (.f64 (pow.f64 (neg.f64 (log.f64 N)) 1/6) (+.f64 (.f64 N (-.f64 (fma.f64 -1/72 (/.f64 (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2))) (log.f64 N)) (.f64 1/36 (-.f64 (/.f64 3 (pow.f64 (log.f64 N) 2)) (+.f64 (/.f64 2 (log.f64 N)) (/.f64 2 (pow.f64 (log.f64 N) 3)))))) (/.f64 1/1296 (pow.f64 (log.f64 N) 3)))) (fma.f64 1/12 (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2))) (/.f64 1/72 (pow.f64 (log.f64 N) 2))))))) (pow.f64 (neg.f64 (log.f64 N)) 1/6))
(fma.f64 N (fma.f64 N (.f64 (pow.f64 (neg.f64 (log.f64 N)) 1/6) (fma.f64 N (fma.f64 -1/72 (/.f64 (+.f64 (/.f64 1 (log.f64 N)) (/.f64 -1 (pow.f64 (log.f64 N) 2))) (log.f64 N)) (fma.f64 1/36 (-.f64 (-.f64 (/.f64 3 (pow.f64 (log.f64 N) 2)) (/.f64 2 (log.f64 N))) (/.f64 2 (pow.f64 (log.f64 N) 3))) (/.f64 -1/1296 (pow.f64 (log.f64 N) 3)))) (fma.f64 1/12 (+.f64 (/.f64 1 (log.f64 N)) (/.f64 -1 (pow.f64 (log.f64 N) 2))) (/.f64 1/72 (pow.f64 (log.f64 N) 2))))) (.f64 -1/6 (pow.f64 (/.f64 -1 (pow.f64 (log.f64 N) 5)) 1/6))) (pow.f64 (neg.f64 (log.f64 N)) 1/6))
(pow.f64 (/.f64 1 N) 1/6)
(+.f64 (*.f64 -1/12 (pow.f64 (/.f64 1 (pow.f64 N 7)) 1/6)) (pow.f64 (/.f64 1 N) 1/6))
(fma.f64 -1/12 (pow.f64 (/.f64 1 (pow.f64 N 7)) 1/6) (pow.f64 (/.f64 1 N) 1/6))
(+.f64 (.f64 -1/12 (pow.f64 (/.f64 1 (pow.f64 N 7)) 1/6)) (+.f64 (.f64 11/288 (pow.f64 (/.f64 1 (pow.f64 N 13)) 1/6)) (pow.f64 (/.f64 1 N) 1/6)))
(fma.f64 -1/12 (pow.f64 (/.f64 1 (pow.f64 N 7)) 1/6) (fma.f64 11/288 (pow.f64 (/.f64 1 (pow.f64 N 13)) 1/6) (pow.f64 (/.f64 1 N) 1/6)))
(+.f64 (.f64 -1/12 (pow.f64 (/.f64 1 (pow.f64 N 7)) 1/6)) (+.f64 (.f64 -247/10368 (pow.f64 (/.f64 1 (pow.f64 N 19)) 1/6)) (+.f64 (*.f64 11/288 (pow.f64 (/.f64 1 (pow.f64 N 13)) 1/6)) (pow.f64 (/.f64 1 N) 1/6))))
(fma.f64 -1/12 (pow.f64 (/.f64 1 (pow.f64 N 7)) 1/6) (fma.f64 -247/10368 (pow.f64 (/.f64 1 (pow.f64 N 19)) 1/6) (fma.f64 11/288 (pow.f64 (/.f64 1 (pow.f64 N 13)) 1/6) (pow.f64 (/.f64 1 N) 1/6))))
(exp.f64 (*.f64 1/6 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))))
(pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))
(+.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) (.f64 -1/12 (/.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) N)))
(+.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) (*.f64 -1/12 (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) N)))
(fma.f64 -1/12 (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) N) (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))))
(+.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) (.f64 -1 (/.f64 (+.f64 (.f64 -11/288 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) N)) (.f64 1/12 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))))) N)))
(+.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) (neg.f64 (/.f64 (fma.f64 -11/288 (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) N) (*.f64 1/12 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))))) N)))
(-.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) (/.f64 (fma.f64 1/12 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) (/.f64 (*.f64 -11/288 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) N)) N))
(+.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -247/10368 (/.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) N)) (.f64 11/288 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))))) N)) (.f64 1/12 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))))) N)))
(+.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) (neg.f64 (/.f64 (fma.f64 -1 (/.f64 (fma.f64 -247/10368 (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) N) (.f64 11/288 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))))) N) (.f64 1/12 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))))) N)))
(-.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) (/.f64 (-.f64 (.f64 1/12 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) (/.f64 (fma.f64 11/288 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) (.f64 -247/10368 (/.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) N))) N)) N))
(cbrt.f64 (pow.f64 (log.f64 N) 2))
(+.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2)) (.f64 -2/3 (.f64 (pow.f64 (*.f64 1 (pow.f64 (log.f64 N) 5)) 1/9) N)))
(+.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2)) (.f64 -2/3 (.f64 N (pow.f64 (pow.f64 (log.f64 N) 5) 1/9))))
(+.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2)) (.f64 N (.f64 -2/3 (pow.f64 (pow.f64 (log.f64 N) 5) 1/9))))
(+.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2)) (.f64 N (+.f64 (.f64 -2/3 (pow.f64 (.f64 1 (pow.f64 (log.f64 N) 5)) 1/9)) (.f64 1/3 (.f64 (.f64 N (-.f64 (+.f64 1 (log.f64 N)) (.f64 4/3 (pow.f64 (.f64 1 (pow.f64 (log.f64 N) 16)) 1/9)))) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 N) 4))))))))
(+.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 -2/3 (.f64 N (pow.f64 (pow.f64 (log.f64 N) 5) 1/9))) (.f64 (.f64 1/3 (.f64 N (.f64 (+.f64 1 (-.f64 (log.f64 N) (*.f64 4/3 (pow.f64 (pow.f64 (log.f64 N) 16) 1/9)))) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 N) 4)))))) N)))
(+.f64 (.f64 N (.f64 -2/3 (pow.f64 (pow.f64 (log.f64 N) 5) 1/9))) (+.f64 (.f64 N (.f64 1/3 (.f64 (+.f64 (.f64 N (+.f64 (log.f64 N) 1)) (.f64 (-.f64 0 (.f64 4/3 (pow.f64 (pow.f64 (log.f64 N) 16) 1/9))) N)) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 N) 4)))))) (cbrt.f64 (pow.f64 (log.f64 N) 2))))
(+.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2)) (.f64 N (+.f64 (.f64 -2/3 (pow.f64 (.f64 1 (pow.f64 (log.f64 N) 5)) 1/9)) (.f64 N (+.f64 (.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 N) 4))) (-.f64 (+.f64 1 (log.f64 N)) (.f64 4/3 (pow.f64 (.f64 1 (pow.f64 (log.f64 N) 16)) 1/9))))) (.f64 1/3 (.f64 (.f64 N (-.f64 (.f64 -2/3 (log.f64 N)) (+.f64 1 (+.f64 (.f64 -4/3 (.f64 (pow.f64 (/.f64 1 (log.f64 N)) 1/9) (-.f64 (+.f64 1 (log.f64 N)) (.f64 4/3 (pow.f64 (.f64 1 (pow.f64 (log.f64 N) 16)) 1/9))))) (*.f64 -8/27 (cbrt.f64 (pow.f64 (log.f64 N) 5))))))) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 N) 4))))))))))
(+.f64 (cbrt.f64 (pow.f64 (log.f64 N) 2)) (+.f64 (.f64 N (.f64 -2/3 (pow.f64 (pow.f64 (log.f64 N) 5) 1/9))) (.f64 N (+.f64 (.f64 (.f64 1/3 (.f64 (+.f64 1 (-.f64 (log.f64 N) (.f64 4/3 (pow.f64 (pow.f64 (log.f64 N) 16) 1/9)))) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 N) 4))))) N) (.f64 (.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 N) 4))) (.f64 N (-.f64 (.f64 (log.f64 N) -2/3) (+.f64 1 (+.f64 (.f64 -4/3 (.f64 (+.f64 1 (-.f64 (log.f64 N) (.f64 4/3 (pow.f64 (pow.f64 (log.f64 N) 16) 1/9)))) (pow.f64 (/.f64 1 (log.f64 N)) 1/9))) (.f64 -8/27 (cbrt.f64 (pow.f64 (log.f64 N) 5))))))))) N)))))
(fma.f64 N (+.f64 (+.f64 (.f64 -2/3 (pow.f64 (pow.f64 (log.f64 N) 5) 1/9)) (.f64 1/3 (.f64 (+.f64 (.f64 N (+.f64 (log.f64 N) 1)) (.f64 (-.f64 0 (.f64 4/3 (pow.f64 (pow.f64 (log.f64 N) 16) 1/9))) N)) (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 N) 4)))))) (.f64 (.f64 N 1/3) (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 N) 4))) N) (+.f64 (fma.f64 (log.f64 N) -2/3 -1) (neg.f64 (+.f64 (.f64 (.f64 -4/3 (pow.f64 (/.f64 1 (log.f64 N)) 1/9)) (+.f64 (log.f64 N) (+.f64 1 (-.f64 0 (.f64 4/3 (pow.f64 (pow.f64 (log.f64 N) 16) 1/9)))))) (.f64 -8/27 (cbrt.f64 (pow.f64 (log.f64 N) 5))))))))) (cbrt.f64 (pow.f64 (log.f64 N) 2)))
(cbrt.f64 (/.f64 1 (pow.f64 N 2)))
(+.f64 (cbrt.f64 (/.f64 1 (pow.f64 N 2))) (*.f64 -1/3 (cbrt.f64 (/.f64 1 (pow.f64 N 5)))))
(fma.f64 -1/3 (cbrt.f64 (/.f64 1 (pow.f64 N 5))) (cbrt.f64 (/.f64 1 (pow.f64 N 2))))
(+.f64 (cbrt.f64 (/.f64 1 (pow.f64 N 2))) (+.f64 (.f64 -1/3 (cbrt.f64 (/.f64 1 (pow.f64 N 5)))) (.f64 11/36 (cbrt.f64 (/.f64 1 (pow.f64 N 8))))))
(+.f64 (cbrt.f64 (/.f64 1 (pow.f64 N 2))) (fma.f64 -1/3 (cbrt.f64 (/.f64 1 (pow.f64 N 5))) (*.f64 11/36 (cbrt.f64 (/.f64 1 (pow.f64 N 8))))))
(+.f64 (cbrt.f64 (/.f64 1 (pow.f64 N 2))) (+.f64 (.f64 -1/3 (cbrt.f64 (/.f64 1 (pow.f64 N 5)))) (+.f64 (.f64 -5/18 (cbrt.f64 (/.f64 1 (pow.f64 N 11)))) (*.f64 11/36 (cbrt.f64 (/.f64 1 (pow.f64 N 8)))))))
(+.f64 (cbrt.f64 (/.f64 1 (pow.f64 N 2))) (fma.f64 -1/3 (cbrt.f64 (/.f64 1 (pow.f64 N 5))) (fma.f64 -5/18 (cbrt.f64 (/.f64 1 (pow.f64 N 11))) (*.f64 11/36 (cbrt.f64 (/.f64 1 (pow.f64 N 8)))))))
(+.f64 (fma.f64 -1/3 (cbrt.f64 (/.f64 1 (pow.f64 N 5))) (cbrt.f64 (/.f64 1 (pow.f64 N 2)))) (fma.f64 11/36 (cbrt.f64 (/.f64 1 (pow.f64 N 8))) (*.f64 -5/18 (cbrt.f64 (/.f64 1 (pow.f64 N 11))))))
(cbrt.f64 (/.f64 1 (pow.f64 N 2)))
(+.f64 (cbrt.f64 (/.f64 1 (pow.f64 N 2))) (*.f64 -1/3 (cbrt.f64 (/.f64 1 (pow.f64 N 5)))))
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(neg.f64 (/.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (+.f64 -1/3 (/.f64 1/4 N)) N) -1/2) N) -1) N))
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N) 2))
(fabs.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N))
(log.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)))
(neg.f64 (/.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (+.f64 -1/3 (/.f64 1/4 N)) N) -1/2) N) -1) N))
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N))))
(neg.f64 (/.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (+.f64 -1/3 (/.f64 1/4 N)) N) -1/2) N) -1) N))
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N) 3))
(neg.f64 (/.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (+.f64 -1/3 (/.f64 1/4 N)) N) -1/2) N) -1) N))
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) 3) (pow.f64 N -3)))
(cbrt.f64 (*.f64 (pow.f64 N -3) (pow.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) 3) (pow.f64 N 3)))
(neg.f64 (/.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (+.f64 -1/3 (/.f64 1/4 N)) N) -1/2) N) -1) N))
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)))
(neg.f64 (/.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (+.f64 -1/3 (/.f64 1/4 N)) N) -1/2) N) -1) N))
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)
(exp.f64 (-.f64 (log1p.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) (log.f64 N)))
(neg.f64 (/.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (+.f64 -1/3 (/.f64 1/4 N)) N) -1/2) N) -1) N))
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)
(exp.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) (log.f64 N)) 1))
(neg.f64 (/.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (+.f64 -1/3 (/.f64 1/4 N)) N) -1/2) N) -1) N))
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 1 N)))) 1)
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 1 (log1p.f64 (/.f64 1 N)))
(log1p.f64 (/.f64 1 N))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(log1p.f64 (/.f64 1 N))
(*.f64 (pow.f64 1 1/3) (log1p.f64 (/.f64 1 N)))
(log1p.f64 (/.f64 1 N))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2) 1/3) (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))
(log1p.f64 (/.f64 1 N))
(fabs.f64 (log1p.f64 (/.f64 1 N)))
(log1p.f64 (/.f64 1 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(log1p.f64 (/.f64 1 N))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
(log1p.f64 (/.f64 1 N))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
(log1p.f64 (/.f64 1 N))
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
(log1p.f64 (/.f64 1 N))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 1))
(log1p.f64 (/.f64 1 N))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))) 1)
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3)))
(*.f64 1 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
(pow.f64 (log1p.f64 (/.f64 1 N)) 3)
(*.f64 (log1p.f64 (/.f64 1 N)) (pow.f64 (log1p.f64 (/.f64 1 N)) 2))
(pow.f64 (log1p.f64 (/.f64 1 N)) 3)
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) (log1p.f64 (/.f64 1 N)))
(pow.f64 (log1p.f64 (/.f64 1 N)) 3)
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2) (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2))
(pow.f64 (log1p.f64 (/.f64 1 N)) 3)
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 3) (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 3))
(pow.f64 (log1p.f64 (/.f64 1 N)) 3)
(.f64 (.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) 1) (log1p.f64 (/.f64 1 N)))
(pow.f64 (log1p.f64 (/.f64 1 N)) 3)
(.f64 (.f64 (log1p.f64 (/.f64 1 N)) 1) (pow.f64 (log1p.f64 (/.f64 1 N)) 2))
(pow.f64 (log1p.f64 (/.f64 1 N)) 3)
(.f64 (.f64 (log1p.f64 (/.f64 1 N)) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 4))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)))
(.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)) (.f64 (log1p.f64 (/.f64 1 N)) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 4))))
(.f64 (.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))))
(.f64 (.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2) (sqrt.f64 (log1p.f64 (/.f64 1 N)))) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(pow.f64 (log1p.f64 (/.f64 1 N)) 3)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 6))
(log.f64 (exp.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3)))
(pow.f64 (log1p.f64 (/.f64 1 N)) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))))
(pow.f64 (log1p.f64 (/.f64 1 N)) 3)
(cbrt.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 3))
(pow.f64 (log1p.f64 (/.f64 1 N)) 3)
(cbrt.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) (pow.f64 (log1p.f64 (/.f64 1 N)) 6)))
(pow.f64 (log1p.f64 (/.f64 1 N)) 3)
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3)))
(pow.f64 (log1p.f64 (/.f64 1 N)) 3)
(exp.f64 (*.f64 3 (log.f64 (log1p.f64 (/.f64 1 N)))))
(pow.f64 (log1p.f64 (/.f64 1 N)) 3)
(exp.f64 (.f64 (.f64 3 (log.f64 (log1p.f64 (/.f64 1 N)))) 1))
(pow.f64 (log1p.f64 (/.f64 1 N)) 3)

eval620.0ms (6.9%)

Compiler: Compiled 24224 to 19096 computations (21.2% saved)

prune223.0ms (2.5%)

Pruning

23 alts after pruning (14 fresh and 9 done)

	Pruned	Kept	Total
New	996	10	1006
Fresh	0	4	4
Picked	3	2	5
Done	0	7	7
Total	999	23	1022

Accuracy

100.0%

Counts

1022 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.2%	(pow.f64 (pow.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2) 3) 1/3)
✓	94.3%	(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
✓	97.9%	(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
	91.0%	(/.f64 (/.f64 1 N) (/.f64 N (+.f64 N -1/2)))
✓	91.0%	(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
	90.8%	(/.f64 (+.f64 (neg.f64 N) 1/2) (*.f64 (neg.f64 N) N))
✓	95.0%	(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)
✓	93.4%	(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
	95.0%	(/.f64 (+.f64 1 (*.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) (/.f64 1 N))) N)
	91.0%	(/.f64 (*.f64 (/.f64 1 N) (+.f64 N -1/2)) N)
	91.1%	(/.f64 1 (/.f64 N (/.f64 (+.f64 N -1/2) N)))
	93.5%	(/.f64 1 (/.f64 N (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N))))
	95.0%	(/.f64 1 (/.f64 N (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N))))
	91.1%	(/.f64 1 (*.f64 (/.f64 N (+.f64 N -1/2)) N))
✓	84.3%	(/.f64 1 N)
	91.1%	(+.f64 (/.f64 1 N) (/.f64 (/.f64 (+.f64 -1/2 (/.f64 (/.f64 1/4 N) N)) N) N))
	94.9%	(+.f64 (/.f64 1 N) (/.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N) N))
	93.4%	(+.f64 (/.f64 1 N) (/.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N) N))
	23.9%	(+.f64 (*.f64 2/3 (log1p.f64 N)) (log.f64 (/.f64 (cbrt.f64 (+.f64 N 1)) N)))
✓	93.4%	(*.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) (/.f64 1 N))
	94.9%	(*.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) (/.f64 1 N))
✓	99.9%	(log1p.f64 (/.f64 1 N))
✓	95.3%	(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))

Compiler

Compiled 654 to 486 computations (25.7% saved)

regimes30.0ms (0.3%)

Counts

33 → 1

Calls

Call 1

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

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

Calls

2 calls:

19.0ms	N
9.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Results

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

Compiler

Compiled 10 to 7 computations (30% saved)

regimes11.0ms (0.1%)

Counts

22 → 1

Calls

Call 1

Inputs
(/.f64 1 N)
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(*.f64 (/.f64 1 N) (/.f64 (+.f64 N -1/2) N))
(/.f64 1 (*.f64 (/.f64 N (+.f64 N -1/2)) N))
(/.f64 1 (/.f64 N (/.f64 (+.f64 N -1/2) N)))
(/.f64 (*.f64 (/.f64 1 N) (+.f64 N -1/2)) N)
(/.f64 (+.f64 (neg.f64 N) 1/2) (*.f64 (neg.f64 N) N))
(/.f64 (/.f64 1 N) (/.f64 N (+.f64 N -1/2)))
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
(*.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) (/.f64 1 N))
(+.f64 (/.f64 1 N) (/.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N) N))
(/.f64 1 (/.f64 N (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N))))
(+.f64 (/.f64 1 N) (*.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N) (/.f64 1 N)))
(+.f64 (/.f64 1 N) (/.f64 (/.f64 (+.f64 -1/2 (/.f64 (/.f64 1/4 N) N)) N) N))
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)
(/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) (neg.f64 N))
(*.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) (/.f64 1 N))
(+.f64 (/.f64 1 N) (/.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N) N))
(+.f64 (/.f64 1 N) (/.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N) N))
(/.f64 1 (/.f64 N (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N))))
(/.f64 (+.f64 1 (*.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) (/.f64 1 N))) N)
(/.f64 (-.f64 -1 (+.f64 1 (-.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 1/4 N)) N)) N) 1))) (neg.f64 N))

Outputs
(/.f64 1 (/.f64 N (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N))))

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
95.0%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes16.0ms (0.2%)

Counts

19 → 1

Calls

Call 1

Inputs
(/.f64 1 N)
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(*.f64 (/.f64 1 N) (/.f64 (+.f64 N -1/2) N))
(/.f64 1 (*.f64 (/.f64 N (+.f64 N -1/2)) N))
(/.f64 1 (/.f64 N (/.f64 (+.f64 N -1/2) N)))
(/.f64 (*.f64 (/.f64 1 N) (+.f64 N -1/2)) N)
(/.f64 (+.f64 (neg.f64 N) 1/2) (*.f64 (neg.f64 N) N))
(/.f64 (/.f64 1 N) (/.f64 N (+.f64 N -1/2)))
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
(*.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) (/.f64 1 N))
(+.f64 (/.f64 1 N) (/.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N) N))
(/.f64 1 (/.f64 N (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N))))
(+.f64 (/.f64 1 N) (*.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N) (/.f64 1 N)))
(+.f64 (/.f64 1 N) (/.f64 (/.f64 (+.f64 -1/2 (/.f64 (/.f64 1/4 N) N)) N) N))
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)
(/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) (neg.f64 N))
(*.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) (/.f64 1 N))
(+.f64 (/.f64 1 N) (/.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N) N))
(+.f64 (/.f64 1 N) (/.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N) N))

Outputs
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
95.0%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

Counts

14 → 1

Calls

Call 1

Inputs
(/.f64 1 N)
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(*.f64 (/.f64 1 N) (/.f64 (+.f64 N -1/2) N))
(/.f64 1 (*.f64 (/.f64 N (+.f64 N -1/2)) N))
(/.f64 1 (/.f64 N (/.f64 (+.f64 N -1/2) N)))
(/.f64 (*.f64 (/.f64 1 N) (+.f64 N -1/2)) N)
(/.f64 (+.f64 (neg.f64 N) 1/2) (*.f64 (neg.f64 N) N))
(/.f64 (/.f64 1 N) (/.f64 N (+.f64 N -1/2)))
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
(*.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) (/.f64 1 N))
(+.f64 (/.f64 1 N) (/.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N) N))
(/.f64 1 (/.f64 N (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N))))
(+.f64 (/.f64 1 N) (*.f64 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N) (/.f64 1 N)))
(+.f64 (/.f64 1 N) (/.f64 (/.f64 (+.f64 -1/2 (/.f64 (/.f64 1/4 N) N)) N) N))

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
93.5%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes11.0ms (0.1%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
93.4%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
91.1%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
91.1%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
91.0%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 1 N)

Outputs
(/.f64 1 N)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
84.3%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify72.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

22×	`+-commutative`
8×	`sub-neg`
8×	`*-commutative`
6×	`neg-sub0`
6×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	319
1	57	319
2	65	319
3	71	319
4	76	319
5	78	319

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(log1p.f64 (/.f64 1 N))
(/.f64 1 (/.f64 N (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N))))
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)
(/.f64 1 (/.f64 N (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N))))
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
(/.f64 1 (/.f64 N (/.f64 (+.f64 N -1/2) N)))
(/.f64 1 (*.f64 (/.f64 N (+.f64 N -1/2)) N))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 1 N)

Outputs
(log1p.f64 (/.f64 1 N))
(/.f64 1 (/.f64 N (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N))))
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)
(/.f64 1 (/.f64 N (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N))))
(/.f64 1 (/.f64 N (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))))
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
(/.f64 1 (/.f64 N (/.f64 (+.f64 N -1/2) N)))
(/.f64 1 (*.f64 (/.f64 N (+.f64 N -1/2)) N))
(/.f64 1 (*.f64 N (/.f64 N (+.f64 N -1/2))))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 1 N)

Compiler

Compiled 97 to 73 computations (24.7% saved)

soundness1.3s (14.1%)

Rules

1086×	`fma-neg`
1074×	`fma-define`
998×	`unpow-prod-down`
952×	`associate-r`
864×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	74
1	181	74
2	1758	74
0	1311	17179892999
1	3232	17179891766
0	790	16151
1	1735	14785
2	5710	14433
0	36	410
1	605	390
0	34	271
1	518	271
2	7479	271
0	527	13982
1	1131	12870
2	3558	12666
0	31	270
1	517	266

Stop Event

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

Compiler

Compiled 597 to 446 computations (25.3% saved)

end0.0ms (0%)

preprocess79.0ms (0.9%)

Compiler: Compiled 204 to 150 computations (26.5% saved)

Iter	Nodes	Cost
0	17	128
1	33	104
2	63	100
3	109	100
4	175	100
5	268	100
6	346	100
7	405	100
8	457	100
9	492	100
10	518	100
11	520	100

Iter	Nodes	Cost
0	17	128
1	33	104
2	63	100
3	109	100
4	175	100
5	268	100
6	346	100
7	405	100
8	457	100
9	492	100
10	518	100
11	520	100

analyze0.0ms (0%)

sample1.5s (16.8%)

preprocess332.0ms (3.7%)

eval0.0ms (0%)

prune1.0ms (0%)

localize72.0ms (0.8%)

series63.0ms (0.7%)

rewrite253.0ms (2.8%)

simplify308.0ms (3.4%)

eval91.0ms (1%)

prune94.0ms (1%)

localize265.0ms (3%)

series15.0ms (0.2%)

rewrite273.0ms (3.1%)

simplify254.0ms (2.8%)

eval297.0ms (3.3%)

prune90.0ms (1%)

localize601.0ms (6.7%)

series20.0ms (0.2%)

rewrite242.0ms (2.7%)

simplify252.0ms (2.8%)

eval361.0ms (4%)

prune133.0ms (1.5%)

localize669.0ms (7.5%)

series37.0ms (0.4%)

rewrite130.0ms (1.5%)

simplify222.0ms (2.5%)

eval620.0ms (6.9%)

prune223.0ms (2.5%)

regimes30.0ms (0.3%)

regimes11.0ms (0.1%)

regimes16.0ms (0.2%)

regimes8.0ms (0.1%)

regimes11.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

simplify72.0ms (0.8%)

soundness1.3s (14.1%)

end0.0ms (0%)

preprocess79.0ms (0.9%)

Profiling

Iter	Nodes	Cost
0	17	128
1	33	104
2	63	100
3	109	100
4	175	100
5	268	100
6	346	100
7	405	100
8	457	100
9	492	100
10	518	100
11	520	100