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 (17.5%)

Results

1.2s	8255×	256	valid
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 679.0ms

Operation ival-log, time spent: 440.0ms, 65.0% of total-time

Operation ival-add, time spent: 70.0ms, 10.0% of total-time

Operation ival->, time spent: 51.0ms, 8.0% of total-time

Operation ival-sub, time spent: 46.0ms, 7.0% of total-time

Operation ival-<, time spent: 44.0ms, 6.0% of total-time

Operation const, time spent: 17.0ms, 3.0% of total-time

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

Bogosity

preprocess190.0ms (2.1%)

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	Example	Underpredictions	Example	Subexpression
252	-	1	(23.604014744881216)	`(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))`
0	-	0	-	`1`
0	-	0	-	`(log.f64 N)`
0	-	0	-	`(log.f64 (+.f64 N 1))`
0	-	0	-	`(+.f64 N 1)`
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

90.0ms	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: 52.0ms

Operation ival-log, time spent: 35.0ms, 68.0% of total-time

Operation ival-add, time spent: 12.0ms, 23.0% of total-time

Operation ival-sub, time spent: 3.0ms, 6.0% of total-time

Operation const, time spent: 2.0ms, 4.0% of total-time

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	25.6%	(-.f64 (log1p.f64 N) (log.f64 N))
▶	25.6%	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize75.0ms (0.8%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	100.0%	(log1p.f64 N)
✓	25.6%	(-.f64 (log1p.f64 N) (log.f64 N))
✓	100.0%	(log.f64 (+.f64 N 1))
✓	25.6%	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Results

58.0ms	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: 43.0ms

Operation ival-log, time spent: 22.0ms, 51.0% of total-time

Operation composed, time spent: 10.0ms, 23.0% of total-time

Operation ival-add, time spent: 8.0ms, 18.0% of total-time

Operation ival-sub, time spent: 3.0ms, 7.0% of total-time

Operation const, time spent: 1.0ms, 2.0% of total-time

series16.0ms (0.2%)

Counts

4 → 72

Calls

Call 1

Inputs
#<alt (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))>
#<alt (log.f64 (+.f64 N 1))>
#<alt (-.f64 (log1p.f64 N) (log.f64 N))>
#<alt (log1p.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 (.f64 N (+.f64 1 (.f64 N (-.f64 (.f64 N (+.f64 1/3 (.f64 -1/4 N))) 1/2)))) (log.f64 N))>
#<alt (-.f64 (.f64 N (+.f64 1 (.f64 N (-.f64 (.f64 N (+.f64 1/3 (.f64 N (-.f64 (*.f64 1/5 N) 1/4)))) 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 (-.f64 (+.f64 1 (+.f64 (/.f64 1/5 (pow.f64 N 4)) (/.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 (-.f64 (+.f64 1 (+.f64 (/.f64 1/5 (pow.f64 N 4)) (/.f64 1/3 (pow.f64 N 2)))) (+.f64 (.f64 1/2 (/.f64 1 N)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 3))) (*.f64 1/6 (/.f64 1 (pow.f64 N 5)))))) 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 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (*.f64 1/5 (/.f64 1 N)) 1/4) N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/6 (/.f64 1 N)) 1/5) N)) 1/4) 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 N (+.f64 1 (.f64 N (-.f64 (.f64 N (+.f64 1/3 (.f64 N (-.f64 (*.f64 1/5 N) 1/4)))) 1/2))))>
#<alt (.f64 N (+.f64 1 (.f64 N (-.f64 (.f64 N (+.f64 1/3 (.f64 N (-.f64 (.f64 N (+.f64 1/5 (.f64 -1/6 N))) 1/4)))) 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 (+.f64 (.f64 -1 (log.f64 (/.f64 1 N))) (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3))))) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/2 (pow.f64 N 2))))>
#<alt (-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 N))) (+.f64 (/.f64 1 N) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/5 (/.f64 1 (pow.f64 N 5)))))) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.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 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -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))))>
#<alt (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 N))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/5 (/.f64 1 N)) 1/4) N)) 1/3) 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 (.f64 N (+.f64 1 (.f64 N (-.f64 (.f64 N (+.f64 1/3 (.f64 -1/4 N))) 1/2)))) (log.f64 N))>
#<alt (-.f64 (.f64 N (+.f64 1 (.f64 N (-.f64 (.f64 N (+.f64 1/3 (.f64 N (-.f64 (*.f64 1/5 N) 1/4)))) 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 (-.f64 (+.f64 1 (+.f64 (/.f64 1/5 (pow.f64 N 4)) (/.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 (-.f64 (+.f64 1 (+.f64 (/.f64 1/5 (pow.f64 N 4)) (/.f64 1/3 (pow.f64 N 2)))) (+.f64 (.f64 1/2 (/.f64 1 N)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 3))) (*.f64 1/6 (/.f64 1 (pow.f64 N 5)))))) 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 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (*.f64 1/5 (/.f64 1 N)) 1/4) N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/6 (/.f64 1 N)) 1/5) N)) 1/4) 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 N (+.f64 1 (.f64 N (-.f64 (.f64 N (+.f64 1/3 (.f64 N (-.f64 (*.f64 1/5 N) 1/4)))) 1/2))))>
#<alt (.f64 N (+.f64 1 (.f64 N (-.f64 (.f64 N (+.f64 1/3 (.f64 N (-.f64 (.f64 N (+.f64 1/5 (.f64 -1/6 N))) 1/4)))) 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 (+.f64 (.f64 -1 (log.f64 (/.f64 1 N))) (+.f64 (/.f64 1 N) (.f64 1/3 (/.f64 1 (pow.f64 N 3))))) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.f64 1/2 (pow.f64 N 2))))>
#<alt (-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 N))) (+.f64 (/.f64 1 N) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (*.f64 1/5 (/.f64 1 (pow.f64 N 5)))))) (+.f64 (/.f64 1/4 (pow.f64 N 4)) (/.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 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -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))))>
#<alt (+.f64 (log.f64 -1) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 N))) (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/5 (/.f64 1 N)) 1/4) N)) 1/3) N)) 1/2) N)) 1) N))))>

Calls

12 calls:

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

rewrite350.0ms (4%)

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	58
1	181	58
2	1758	58

Stop Event

1×	node limit

Counts

4 → 324

Calls

Call 1

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

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

simplify189.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1780×	`fma-neg`
882×	`cancel-sign-sub-inv`
778×	`times-frac`
574×	`distribute-lft-neg-in`
560×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	535	14820
1	1281	14026
2	3868	13726

Stop Event

1×	node limit

Counts

396 → 317

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

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

eval149.0ms (1.7%)

Compiler: Compiled 5100 to 2805 computations (45% saved)

prune53.0ms (0.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	306	11	317
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	308	11	319

Accuracy

99.9%

Counts

319 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.2%	(/.f64 (-.f64 (+.f64 (+.f64 1 (/.f64 1/5 (pow.f64 N 4))) (-.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N) (/.f64 1/4 (pow.f64 N 3)))) (/.f64 1/6 (pow.f64 N 5))) N)
	95.2%	(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N))) N)
	91.8%	(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
	98.2%	(/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (-.f64 -1/3 (/.f64 (-.f64 -1/4 (/.f64 (+.f64 (/.f64 1/6 N) -1/5) N)) N)) N)) N)) (neg.f64 N))
▶	97.7%	(/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (-.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N)) (neg.f64 N))
	96.8%	(/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N)) N)) (neg.f64 N))
	97.7%	(/.f64 (+.f64 (+.f64 1 (/.f64 1/5 (pow.f64 N 4))) (-.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N) (/.f64 1/4 (pow.f64 N 3)))) N)
▶	95.2%	(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
▶	83.0%	(/.f64 1 N)
▶	99.8%	(log1p.f64 (/.f64 1 N))
▶	28.1%	(log.f64 (/.f64 (+.f64 N 1) N))

Compiler

Compiled 338 to 262 computations (22.5% saved)

localize317.0ms (3.6%)

Localize:

Found 11 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 N 1) N)
✓	28.0%	(log.f64 (/.f64 (+.f64 N 1) N))
✓	99.8%	(/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (-.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N)) (neg.f64 N))
✓	99.8%	(-.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N))
✓	99.5%	(/.f64 1/5 N)
✓	99.5%	(/.f64 (-.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)
✓	100.0%	(+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))
✓	99.8%	(/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)
✓	99.8%	(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
✓	99.4%	(/.f64 1/3 N)
✓	99.8%	(log1p.f64 (/.f64 1 N))

Results

227.0ms	255×	256	valid
1.0ms	1×	256	valid

Compiler

Compiled 179 to 130 computations (27.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 171.0ms

Operation ival-div, time spent: 81.0ms, 47.0% of total-time

Operation ival-add, time spent: 27.0ms, 16.0% of total-time

Operation ival-sub, time spent: 23.0ms, 13.0% of total-time

Operation ival-log, time spent: 19.0ms, 11.0% of total-time

Operation composed, time spent: 13.0ms, 8.0% of total-time

Operation const, time spent: 8.0ms, 5.0% of total-time

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

series35.0ms (0.4%)

Counts

11 → 162

Calls

Call 1

Inputs
#<alt (log1p.f64 (/.f64 1 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 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))>
#<alt (/.f64 (-.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)>
#<alt (/.f64 1/5 N)>
#<alt (-.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N))>
#<alt (/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (-.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N)) (neg.f64 N))>
#<alt (log.f64 (/.f64 (+.f64 N 1) N))>
#<alt (/.f64 (+.f64 N 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 (.f64 -1 (log.f64 N)) (.f64 N (+.f64 1 (.f64 N (-.f64 (.f64 N (+.f64 1/3 (*.f64 -1/4 N))) 1/2)))))>
#<alt (+.f64 (.f64 -1 (log.f64 N)) (.f64 N (+.f64 1 (.f64 N (-.f64 (.f64 N (+.f64 1/3 (.f64 N (-.f64 (.f64 1/5 N) 1/4)))) 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 (-.f64 (+.f64 1 (+.f64 (/.f64 1/5 (pow.f64 N 4)) (/.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 (-.f64 (+.f64 1 (+.f64 (/.f64 1/5 (pow.f64 N 4)) (/.f64 1/3 (pow.f64 N 2)))) (+.f64 (.f64 1/2 (/.f64 1 N)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 3))) (*.f64 1/6 (/.f64 1 (pow.f64 N 5)))))) 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 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (*.f64 1/5 (/.f64 1 N)) 1/4) N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/6 (/.f64 1 N)) 1/5) N)) 1/4) N)) 1/3) N)) 1/2) 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 (+.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 (-.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 (/.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 (+.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 (-.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 (/.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 (/.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 (-.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 (.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 -1/5 (pow.f64 N 3))>
#<alt (/.f64 (-.f64 (*.f64 1/4 N) 1/5) (pow.f64 N 3))>
#<alt (/.f64 (-.f64 (.f64 N (+.f64 1/4 (.f64 -1/3 N))) 1/5) (pow.f64 N 3))>
#<alt (/.f64 (-.f64 (.f64 N (+.f64 1/4 (.f64 -1/3 N))) 1/5) (pow.f64 N 3))>
#<alt (/.f64 (-.f64 (.f64 N (+.f64 1/4 (.f64 -1/3 N))) 1/5) (pow.f64 N 3))>
#<alt (/.f64 (-.f64 (.f64 N (+.f64 1/4 (.f64 -1/3 N))) 1/5) (pow.f64 N 3))>
#<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)) (+.f64 1/3 (/.f64 1/5 (pow.f64 N 2)))) N)>
#<alt (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 N)) (+.f64 1/3 (/.f64 1/5 (pow.f64 N 2)))) N)>
#<alt (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 N)) (+.f64 1/3 (/.f64 1/5 (pow.f64 N 2)))) N)>
#<alt (/.f64 (-.f64 (*.f64 1/4 (/.f64 1 N)) (+.f64 1/3 (/.f64 1/5 (pow.f64 N 2)))) 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 (/.f64 (-.f64 1/4 (*.f64 1/5 (/.f64 1 N))) N))) N))>
#<alt (.f64 -1 (/.f64 (+.f64 1/3 (.f64 -1 (/.f64 (-.f64 1/4 (*.f64 1/5 (/.f64 1 N))) N))) N))>
#<alt (.f64 -1 (/.f64 (+.f64 1/3 (.f64 -1 (/.f64 (-.f64 1/4 (*.f64 1/5 (/.f64 1 N))) N))) N))>
#<alt (.f64 -1 (/.f64 (+.f64 1/3 (.f64 -1 (/.f64 (-.f64 1/4 (*.f64 1/5 (/.f64 1 N))) N))) N))>
#<alt (/.f64 -1/5 (pow.f64 N 2))>
#<alt (/.f64 (-.f64 (*.f64 1/4 N) 1/5) (pow.f64 N 2))>
#<alt (/.f64 (-.f64 (.f64 N (+.f64 1/4 (.f64 -1/3 N))) 1/5) (pow.f64 N 2))>
#<alt (/.f64 (-.f64 (.f64 N (+.f64 1/4 (.f64 -1/3 N))) 1/5) (pow.f64 N 2))>
#<alt (/.f64 (-.f64 (.f64 N (+.f64 1/4 (.f64 -1/3 N))) 1/5) (pow.f64 N 2))>
#<alt (/.f64 (-.f64 (.f64 N (+.f64 1/4 (.f64 -1/3 N))) 1/5) (pow.f64 N 2))>
#<alt -1/3>
#<alt (-.f64 (*.f64 1/4 (/.f64 1 N)) 1/3)>
#<alt (-.f64 (*.f64 1/4 (/.f64 1 N)) (+.f64 1/3 (/.f64 1/5 (pow.f64 N 2))))>
#<alt (-.f64 (*.f64 1/4 (/.f64 1 N)) (+.f64 1/3 (/.f64 1/5 (pow.f64 N 2))))>
#<alt (-.f64 (*.f64 1/4 (/.f64 1 N)) (+.f64 1/3 (/.f64 1/5 (pow.f64 N 2))))>
#<alt (-.f64 (*.f64 1/4 (/.f64 1 N)) (+.f64 1/3 (/.f64 1/5 (pow.f64 N 2))))>
#<alt -1/3>
#<alt (-.f64 (*.f64 1/4 (/.f64 1 N)) 1/3)>
#<alt (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/5 (/.f64 1 N)) 1/4) N)) 1/3)>
#<alt (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/5 (/.f64 1 N)) 1/4) N)) 1/3)>
#<alt (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/5 (/.f64 1 N)) 1/4) N)) 1/3)>
#<alt (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/5 (/.f64 1 N)) 1/4) N)) 1/3)>
#<alt (/.f64 1/5 (pow.f64 N 5))>
#<alt (/.f64 (+.f64 1/5 (*.f64 -1/4 N)) (pow.f64 N 5))>
#<alt (/.f64 (+.f64 1/5 (.f64 N (-.f64 (.f64 1/3 N) 1/4))) (pow.f64 N 5))>
#<alt (/.f64 (+.f64 1/5 (.f64 N (-.f64 (.f64 N (+.f64 1/3 (*.f64 -1/2 N))) 1/4))) (pow.f64 N 5))>
#<alt (/.f64 (+.f64 1/5 (.f64 N (-.f64 (.f64 N (+.f64 1/3 (*.f64 N (-.f64 N 1/2)))) 1/4))) (pow.f64 N 5))>
#<alt (/.f64 (+.f64 1/5 (.f64 N (-.f64 (.f64 N (+.f64 1/3 (*.f64 N (-.f64 N 1/2)))) 1/4))) (pow.f64 N 5))>
#<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 (-.f64 (+.f64 1 (+.f64 (/.f64 1/5 (pow.f64 N 4)) (/.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 (-.f64 (+.f64 1 (+.f64 (/.f64 1/5 (pow.f64 N 4)) (/.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 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (*.f64 1/5 (/.f64 1 N)) 1/4) N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (*.f64 1/5 (/.f64 1 N)) 1/4) N)) 1/3) N)) 1/2) 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 (.f64 -1 (log.f64 N)) (.f64 N (+.f64 1 (.f64 N (-.f64 (.f64 N (+.f64 1/3 (*.f64 -1/4 N))) 1/2)))))>
#<alt (+.f64 (.f64 -1 (log.f64 N)) (.f64 N (+.f64 1 (.f64 N (-.f64 (.f64 N (+.f64 1/3 (.f64 N (-.f64 (.f64 1/5 N) 1/4)))) 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 (-.f64 (+.f64 1 (+.f64 (/.f64 1/5 (pow.f64 N 4)) (/.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 (-.f64 (+.f64 1 (+.f64 (/.f64 1/5 (pow.f64 N 4)) (/.f64 1/3 (pow.f64 N 2)))) (+.f64 (.f64 1/2 (/.f64 1 N)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 3))) (*.f64 1/6 (/.f64 1 (pow.f64 N 5)))))) 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 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (*.f64 1/5 (/.f64 1 N)) 1/4) N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/6 (/.f64 1 N)) 1/5) N)) 1/4) N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (/.f64 1 N)>
#<alt (/.f64 (+.f64 1 N) N)>
#<alt (/.f64 (+.f64 1 N) N)>
#<alt (/.f64 (+.f64 1 N) N)>
#<alt (/.f64 (+.f64 1 N) N)>
#<alt (/.f64 (+.f64 1 N) N)>
#<alt 1>
#<alt (+.f64 1 (/.f64 1 N))>
#<alt (+.f64 1 (/.f64 1 N))>
#<alt (+.f64 1 (/.f64 1 N))>
#<alt (+.f64 1 (/.f64 1 N))>
#<alt (+.f64 1 (/.f64 1 N))>
#<alt 1>
#<alt (+.f64 1 (/.f64 1 N))>
#<alt (+.f64 1 (/.f64 1 N))>
#<alt (+.f64 1 (/.f64 1 N))>
#<alt (+.f64 1 (/.f64 1 N))>
#<alt (+.f64 1 (/.f64 1 N))>

Calls

33 calls:

Time	Variable		Point	Expression
5.0ms	N	@	inf	(/ 1/5 N)
2.0ms	N	@	inf	(/ (+ 1 (/ (+ -1/2 (/ 1/3 N)) N)) N)
2.0ms	N	@	inf	(/ (- -1/3 (/ (+ -1/4 (/ 1/5 N)) N)) N)
2.0ms	N	@	-inf	(/ (- -1/3 (/ (+ -1/4 (/ 1/5 N)) N)) N)
2.0ms	N	@	-inf	(/ (+ 1 (/ (+ -1/2 (/ 1/3 N)) N)) N)

rewrite400.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

366×	`associate-r`
334×	`times-frac`
306×	`frac-times`
263×	`log1p-expm1-u`
263×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	317
1	569	311

Stop Event

1×	node limit

Counts

11 → 314

Calls

Call 1

Inputs
(log1p.f64 (/.f64 1 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 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))
(/.f64 (-.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)
(/.f64 1/5 N)
(-.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N))
(/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (-.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N)) (neg.f64 N))
(log.f64 (/.f64 (+.f64 N 1) N))
(/.f64 (+.f64 N 1) N)

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

simplify250.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1116×	`fma-neg`
592×	`sub-neg`
588×	`exp-prod`
558×	`associate-l`
554×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	821	19199
1	1841	17953
2	5900	17781

Stop Event

1×	node limit

Counts

476 → 562

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 (.f64 -1 (log.f64 N)) (.f64 N (+.f64 1 (.f64 N (-.f64 (.f64 N (+.f64 1/3 (*.f64 -1/4 N))) 1/2)))))
(+.f64 (.f64 -1 (log.f64 N)) (.f64 N (+.f64 1 (.f64 N (-.f64 (.f64 N (+.f64 1/3 (.f64 N (-.f64 (.f64 1/5 N) 1/4)))) 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 (-.f64 (+.f64 1 (+.f64 (/.f64 1/5 (pow.f64 N 4)) (/.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 1/5 (pow.f64 N 4)) (/.f64 1/3 (pow.f64 N 2)))) (+.f64 (.f64 1/2 (/.f64 1 N)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 3))) (*.f64 1/6 (/.f64 1 (pow.f64 N 5)))))) 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 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (*.f64 1/5 (/.f64 1 N)) 1/4) N)) 1/3) N)) 1/2) N)) 1) N))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/6 (/.f64 1 N)) 1/5) N)) 1/4) N)) 1/3) N)) 1/2) 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 (+.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 (-.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 (/.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 (+.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 (-.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 (/.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 (pow.f64 N 2))
(/.f64 (+.f64 1/3 (*.f64 -1/2 N)) (pow.f64 N 2))
(/.f64 (+.f64 1/3 (*.f64 N (-.f64 N 1/2))) (pow.f64 N 2))
(/.f64 (+.f64 1/3 (*.f64 N (-.f64 N 1/2))) (pow.f64 N 2))
(/.f64 (+.f64 1/3 (*.f64 N (-.f64 N 1/2))) (pow.f64 N 2))
(/.f64 (+.f64 1/3 (*.f64 N (-.f64 N 1/2))) (pow.f64 N 2))
1
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N)))
(-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N)))
1
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(+.f64 1 (.f64 -1 (/.f64 (-.f64 1/2 (.f64 1/3 (/.f64 1 N))) N)))
(+.f64 1 (.f64 -1 (/.f64 (-.f64 1/2 (.f64 1/3 (/.f64 1 N))) N)))
(+.f64 1 (.f64 -1 (/.f64 (-.f64 1/2 (.f64 1/3 (/.f64 1 N))) N)))
(+.f64 1 (.f64 -1 (/.f64 (-.f64 1/2 (.f64 1/3 (/.f64 1 N))) N)))
(/.f64 -1/5 (pow.f64 N 3))
(/.f64 (-.f64 (*.f64 1/4 N) 1/5) (pow.f64 N 3))
(/.f64 (-.f64 (.f64 N (+.f64 1/4 (.f64 -1/3 N))) 1/5) (pow.f64 N 3))
(/.f64 (-.f64 (.f64 N (+.f64 1/4 (.f64 -1/3 N))) 1/5) (pow.f64 N 3))
(/.f64 (-.f64 (.f64 N (+.f64 1/4 (.f64 -1/3 N))) 1/5) (pow.f64 N 3))
(/.f64 (-.f64 (.f64 N (+.f64 1/4 (.f64 -1/3 N))) 1/5) (pow.f64 N 3))
(/.f64 -1/3 N)
(/.f64 (-.f64 (*.f64 1/4 (/.f64 1 N)) 1/3) N)
(/.f64 (-.f64 (*.f64 1/4 (/.f64 1 N)) (+.f64 1/3 (/.f64 1/5 (pow.f64 N 2)))) N)
(/.f64 (-.f64 (*.f64 1/4 (/.f64 1 N)) (+.f64 1/3 (/.f64 1/5 (pow.f64 N 2)))) N)
(/.f64 (-.f64 (*.f64 1/4 (/.f64 1 N)) (+.f64 1/3 (/.f64 1/5 (pow.f64 N 2)))) N)
(/.f64 (-.f64 (*.f64 1/4 (/.f64 1 N)) (+.f64 1/3 (/.f64 1/5 (pow.f64 N 2)))) 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 (/.f64 (-.f64 1/4 (*.f64 1/5 (/.f64 1 N))) N))) N))
(.f64 -1 (/.f64 (+.f64 1/3 (.f64 -1 (/.f64 (-.f64 1/4 (*.f64 1/5 (/.f64 1 N))) N))) N))
(.f64 -1 (/.f64 (+.f64 1/3 (.f64 -1 (/.f64 (-.f64 1/4 (*.f64 1/5 (/.f64 1 N))) N))) N))
(.f64 -1 (/.f64 (+.f64 1/3 (.f64 -1 (/.f64 (-.f64 1/4 (*.f64 1/5 (/.f64 1 N))) N))) N))
(/.f64 -1/5 (pow.f64 N 2))
(/.f64 (-.f64 (*.f64 1/4 N) 1/5) (pow.f64 N 2))
(/.f64 (-.f64 (.f64 N (+.f64 1/4 (.f64 -1/3 N))) 1/5) (pow.f64 N 2))
(/.f64 (-.f64 (.f64 N (+.f64 1/4 (.f64 -1/3 N))) 1/5) (pow.f64 N 2))
(/.f64 (-.f64 (.f64 N (+.f64 1/4 (.f64 -1/3 N))) 1/5) (pow.f64 N 2))
(/.f64 (-.f64 (.f64 N (+.f64 1/4 (.f64 -1/3 N))) 1/5) (pow.f64 N 2))
-1/3
(-.f64 (*.f64 1/4 (/.f64 1 N)) 1/3)
(-.f64 (*.f64 1/4 (/.f64 1 N)) (+.f64 1/3 (/.f64 1/5 (pow.f64 N 2))))
(-.f64 (*.f64 1/4 (/.f64 1 N)) (+.f64 1/3 (/.f64 1/5 (pow.f64 N 2))))
(-.f64 (*.f64 1/4 (/.f64 1 N)) (+.f64 1/3 (/.f64 1/5 (pow.f64 N 2))))
(-.f64 (*.f64 1/4 (/.f64 1 N)) (+.f64 1/3 (/.f64 1/5 (pow.f64 N 2))))
-1/3
(-.f64 (*.f64 1/4 (/.f64 1 N)) 1/3)
(-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/5 (/.f64 1 N)) 1/4) N)) 1/3)
(-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/5 (/.f64 1 N)) 1/4) N)) 1/3)
(-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/5 (/.f64 1 N)) 1/4) N)) 1/3)
(-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/5 (/.f64 1 N)) 1/4) N)) 1/3)
(/.f64 1/5 (pow.f64 N 5))
(/.f64 (+.f64 1/5 (*.f64 -1/4 N)) (pow.f64 N 5))
(/.f64 (+.f64 1/5 (.f64 N (-.f64 (.f64 1/3 N) 1/4))) (pow.f64 N 5))
(/.f64 (+.f64 1/5 (.f64 N (-.f64 (.f64 N (+.f64 1/3 (*.f64 -1/2 N))) 1/4))) (pow.f64 N 5))
(/.f64 (+.f64 1/5 (.f64 N (-.f64 (.f64 N (+.f64 1/3 (*.f64 N (-.f64 N 1/2)))) 1/4))) (pow.f64 N 5))
(/.f64 (+.f64 1/5 (.f64 N (-.f64 (.f64 N (+.f64 1/3 (*.f64 N (-.f64 N 1/2)))) 1/4))) (pow.f64 N 5))
(/.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 (-.f64 (+.f64 1 (+.f64 (/.f64 1/5 (pow.f64 N 4)) (/.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 1/5 (pow.f64 N 4)) (/.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 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (*.f64 1/5 (/.f64 1 N)) 1/4) N)) 1/3) N)) 1/2) N)) 1) N))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (*.f64 1/5 (/.f64 1 N)) 1/4) N)) 1/3) N)) 1/2) N)) 1) N))
(*.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 (.f64 -1 (log.f64 N)) (.f64 N (+.f64 1 (.f64 N (-.f64 (.f64 N (+.f64 1/3 (*.f64 -1/4 N))) 1/2)))))
(+.f64 (.f64 -1 (log.f64 N)) (.f64 N (+.f64 1 (.f64 N (-.f64 (.f64 N (+.f64 1/3 (.f64 N (-.f64 (.f64 1/5 N) 1/4)))) 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 (-.f64 (+.f64 1 (+.f64 (/.f64 1/5 (pow.f64 N 4)) (/.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 1/5 (pow.f64 N 4)) (/.f64 1/3 (pow.f64 N 2)))) (+.f64 (.f64 1/2 (/.f64 1 N)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 3))) (*.f64 1/6 (/.f64 1 (pow.f64 N 5)))))) 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 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (*.f64 1/5 (/.f64 1 N)) 1/4) N)) 1/3) N)) 1/2) N)) 1) N))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/6 (/.f64 1 N)) 1/5) N)) 1/4) N)) 1/3) N)) 1/2) N)) 1) N))
(/.f64 1 N)
(/.f64 (+.f64 1 N) N)
(/.f64 (+.f64 1 N) N)
(/.f64 (+.f64 1 N) N)
(/.f64 (+.f64 1 N) N)
(/.f64 (+.f64 1 N) N)
1
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
1
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(+.f64 1 (/.f64 1 N))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 1 N)))) 1)
(*.f64 1 (log1p.f64 (/.f64 1 N)))
(*.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 (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 (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 (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)))
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(pow.f64 (/.f64 1/5 N) 1)
(pow.f64 (cbrt.f64 (/.f64 1/5 N)) 3)
(pow.f64 (/.f64 1/125 (pow.f64 N 3)) 1/3)
(pow.f64 (sqrt.f64 (/.f64 1/5 N)) 2)
(pow.f64 (*.f64 N 5) -1)
(neg.f64 (/.f64 1/5 N))
(sqrt.f64 (/.f64 1/25 (pow.f64 N 2)))
(log.f64 (exp.f64 (/.f64 1/5 N)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/5 N))))
(cbrt.f64 (/.f64 1/125 (pow.f64 N 3)))
(expm1.f64 (log1p.f64 (/.f64 1/5 N)))
(log1p.f64 (expm1.f64 (/.f64 1/5 N)))
(exp.f64 (log.f64 (/.f64 1/5 N)))
(exp.f64 (*.f64 (log.f64 (/.f64 1/5 N)) 1))
(+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N))
(+.f64 -1/3 (*.f64 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N) 1))
(*.f64 1 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N))) 2) (cbrt.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N))))
(*.f64 (sqrt.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N))) (sqrt.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N))))
(.f64 (-.f64 -1/27 (pow.f64 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N) 3)) (/.f64 1 (+.f64 1/9 (.f64 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N) (+.f64 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N) -1/3)))))
(*.f64 (+.f64 1/9 (pow.f64 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N) 2)) (/.f64 1 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N))))
(/.f64 1 (/.f64 (+.f64 1/9 (*.f64 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N) (+.f64 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N) -1/3))) (-.f64 -1/27 (pow.f64 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N) 3))))
(/.f64 1 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) (+.f64 1/9 (pow.f64 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N) 2))))
(/.f64 (-.f64 -1/27 (pow.f64 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N) 3)) (+.f64 1/9 (*.f64 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N) (+.f64 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N) -1/3))))
(/.f64 (+.f64 1/9 (pow.f64 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N) 2)) (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)))
(/.f64 (neg.f64 (-.f64 -1/27 (pow.f64 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N) 3))) (neg.f64 (+.f64 1/9 (*.f64 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N) (+.f64 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N) -1/3)))))
(/.f64 (neg.f64 (+.f64 1/9 (pow.f64 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N) 2))) (+.f64 1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)))
(/.f64 (+.f64 -1/27 (pow.f64 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N) 3)) (+.f64 1/9 (-.f64 (pow.f64 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N) 2) (*.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)))))
(pow.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) 1)
(pow.f64 (cbrt.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N))) 3)
(pow.f64 (pow.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N))) 2)
(sqrt.f64 (pow.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) 2))
(log.f64 (exp.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)))))
(cbrt.f64 (pow.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) 3))
(expm1.f64 (log1p.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N))))
(log1p.f64 (expm1.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N))))
(exp.f64 (log.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N))))
(exp.f64 (*.f64 (log.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N))) 1))
(+.f64 (/.f64 1 N) (/.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N) N))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N) N))
(-.f64 0 (/.f64 (+.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N)) N))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N)) N))) 1)
(*.f64 1 (/.f64 (+.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N)) N))
(*.f64 -1 (/.f64 (+.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N)) N))
(*.f64 (+.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N)) (/.f64 1 N))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N)) N)) 2) (cbrt.f64 (/.f64 (+.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N)) N)))
(*.f64 (pow.f64 N -1/2) (/.f64 (+.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N)) (sqrt.f64 N)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N)) N)) (sqrt.f64 (/.f64 (+.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N)) N)))
(*.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N)) (/.f64 1 N))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (+.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N)) (cbrt.f64 N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N))) 2) 1) (/.f64 (cbrt.f64 (+.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N))) N))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N))) 2) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (/.f64 (+.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N)) N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N))) 2) (sqrt.f64 N)) (/.f64 (cbrt.f64 (+.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N))) (sqrt.f64 N)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N))) 1) (/.f64 (sqrt.f64 (+.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N))) N))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N))) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (sqrt.f64 (+.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N))) (cbrt.f64 N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N))) 2) -1) (/.f64 (cbrt.f64 (+.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N))) N))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N))) -1) (/.f64 (sqrt.f64 (+.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N))) N))
(pow.f64 (/.f64 (+.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N)) N) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N)) N)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N)) N) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N)) N)) 2)
(pow.f64 (/.f64 N (+.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N))) -1)
(neg.f64 (/.f64 (+.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N)) N))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N)) N) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N)) N)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N)) N))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N)) N) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N)) 3) (pow.f64 N 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N)) N)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N)) N)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N)) (log.f64 N)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N)) (log.f64 N)) 1))
(fma.f64 1 (/.f64 1 N) (/.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N) N))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (/.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N) N))
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (/.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N) N))
(+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))
(+.f64 0 (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 N) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 1 N) N))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 N) N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 1 N) N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 0 (log.f64 (/.f64 N (+.f64 1 N))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1)
(-.f64 (log.f64 (+.f64 N -1)) (log.f64 N))
(*.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(*.f64 (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 (.f64 (log1p.f64 N) (log1p.f64 N)) (+.f64 (.f64 (log.f64 N) (log.f64 N)) (*.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (-.f64 (.f64 (log1p.f64 N) (log1p.f64 N)) (.f64 (log.f64 N) (log.f64 N))) (+.f64 (log1p.f64 N) (log.f64 N)))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
(neg.f64 (log.f64 (/.f64 N (+.f64 1 N))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(log1p.f64 (-.f64 (/.f64 (+.f64 1 N) 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))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 N) N))) 1)
(*.f64 1 (/.f64 (+.f64 1 N) N))
(*.f64 (+.f64 1 N) (/.f64 1 N))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 N) N)) 2) (cbrt.f64 (/.f64 (+.f64 1 N) N)))
(*.f64 (pow.f64 N -1/2) (/.f64 (+.f64 1 N) (sqrt.f64 N)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 N) N)) (sqrt.f64 (/.f64 (+.f64 1 N) N)))
(*.f64 (+.f64 N -1) (/.f64 1 N))
(.f64 (.f64 (+.f64 1 N) 1) (/.f64 1 N))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (+.f64 1 N) (cbrt.f64 N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 N)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 N)) N))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 N)) 2) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (/.f64 (+.f64 1 N) N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 N)) 2) (sqrt.f64 N)) (/.f64 (cbrt.f64 (+.f64 1 N)) (sqrt.f64 N)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 N)) 1) (/.f64 (sqrt.f64 (+.f64 1 N)) N))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 N)) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (sqrt.f64 (+.f64 1 N)) (cbrt.f64 N)))
(.f64 (.f64 (+.f64 1 N) (cbrt.f64 (pow.f64 N -2))) (/.f64 1 (cbrt.f64 N)))
(.f64 (.f64 (+.f64 1 N) (pow.f64 N -1/2)) (pow.f64 N -1/2))
(pow.f64 (/.f64 (+.f64 1 N) N) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 N) N)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 N) N) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 N) N)) 2)
(pow.f64 (/.f64 N (+.f64 1 N)) -1)
(pow.f64 (exp.f64 1) (-.f64 (log1p.f64 N) (log.f64 N)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(neg.f64 (/.f64 (+.f64 1 N) N))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 N) N) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 N) N)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 N) N))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 N) N) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 (/.f64 1 N) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 N) N)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 N) N)))
(exp.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 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))
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1
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1
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(pow.f64 (cbrt.f64 (/.f64 (+.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N)) N)) 3)
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(pow.f64 (pow.f64 (/.f64 (+.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N)) N) 3) 1/3)
(/.f64 (+.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N)) N)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N)) N)) 2)
(/.f64 (+.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N)) N)
(pow.f64 (/.f64 N (+.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N))) -1)
(/.f64 (+.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N)) N)
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(/.f64 (+.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N)) (neg.f64 N))
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(/.f64 (+.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N)) N)
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N)) N))))
(/.f64 (+.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N)) N)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N)) N) 3))
(/.f64 (+.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N)) N)
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(/.f64 (+.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N)) N)
(exp.f64 (-.f64 (log1p.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N)) (log.f64 N)))
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(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N)) N)
(exp.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N)) (log.f64 N)) 1))
(*.f64 (/.f64 1 N) (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N)))
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N)) N)
(fma.f64 1 (/.f64 1 N) (/.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N) N))
(+.f64 (/.f64 1 N) (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) (pow.f64 N 2)))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (/.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) 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 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) (pow.f64 N 2)))
(fma.f64 (pow.f64 N -1/2) (pow.f64 N -1/2) (/.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N) N))
(+.f64 (/.f64 1 N) (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) (pow.f64 N 2)))
(+.f64 (log1p.f64 N) (neg.f64 (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 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 N) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 1 N) 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 1 N) N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 1 N) N))))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 0 (log.f64 (/.f64 N (+.f64 1 N))))
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1)
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log.f64 (+.f64 N -1)) (log.f64 N))
(-.f64 (log.f64 (+.f64 -1 N)) (log.f64 N))
(*.f64 1 (-.f64 (log1p.f64 N) (log.f64 N)))
(-.f64 (log1p.f64 N) (log.f64 N))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (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 (log1p.f64 N) (log.f64 N))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (.f64 (log1p.f64 N) (log1p.f64 N)) (+.f64 (.f64 (log.f64 N) (log.f64 N)) (*.f64 (log1p.f64 N) (log.f64 N)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log1p.f64 N) (log1p.f64 N) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (fma.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)) (*.f64 (log1p.f64 N) (log1p.f64 N))))
(/.f64 (-.f64 (.f64 (log1p.f64 N) (log1p.f64 N)) (.f64 (log.f64 N) (log.f64 N))) (+.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (-.f64 (.f64 (log1p.f64 N) (log1p.f64 N)) (.f64 (log.f64 N) (log.f64 N))) (+.f64 (log.f64 N) (log1p.f64 N)))
(*.f64 (+.f64 (log.f64 N) (log1p.f64 N)) (/.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (log.f64 N) (log1p.f64 N))))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(-.f64 (log1p.f64 N) (log.f64 N))
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(-.f64 (log1p.f64 N) (log.f64 N))
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(-.f64 (log1p.f64 N) (log.f64 N))
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
(-.f64 (log1p.f64 N) (log.f64 N))
(neg.f64 (log.f64 (/.f64 N (+.f64 1 N))))
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(-.f64 (log1p.f64 N) (log.f64 N))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(-.f64 (log1p.f64 N) (log.f64 N))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(log1p.f64 (-.f64 (/.f64 (+.f64 1 N) N) 1))
(log1p.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))
(log1p.f64 (+.f64 -1 (/.f64 (+.f64 N 1) N)))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 N) N))) 1)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 N 1) N)))
(*.f64 1 (/.f64 (+.f64 1 N) N))
(/.f64 (+.f64 N 1) N)
(*.f64 (+.f64 1 N) (/.f64 1 N))
(/.f64 (+.f64 N 1) N)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 N) N)) 2) (cbrt.f64 (/.f64 (+.f64 1 N) N)))
(/.f64 (+.f64 N 1) N)
(*.f64 (pow.f64 N -1/2) (/.f64 (+.f64 1 N) (sqrt.f64 N)))
(*.f64 (pow.f64 N -1/2) (/.f64 (+.f64 N 1) (sqrt.f64 N)))
(*.f64 (+.f64 N 1) (/.f64 (pow.f64 N -1/2) (sqrt.f64 N)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 N) N)) (sqrt.f64 (/.f64 (+.f64 1 N) N)))
(/.f64 (+.f64 N 1) N)
(*.f64 (+.f64 N -1) (/.f64 1 N))
(*.f64 (/.f64 1 N) (+.f64 -1 N))
(/.f64 (+.f64 -1 N) N)
(.f64 (.f64 (+.f64 1 N) 1) (/.f64 1 N))
(/.f64 (+.f64 N 1) N)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (+.f64 1 N) (cbrt.f64 N)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (+.f64 N 1) (cbrt.f64 N)))
(/.f64 (/.f64 (+.f64 N 1) (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 N)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 N)) N))
(/.f64 (+.f64 N 1) N)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 N)) 2) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (/.f64 (+.f64 1 N) N)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (pow.f64 (cbrt.f64 N) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 N)) 2) (sqrt.f64 N)) (/.f64 (cbrt.f64 (+.f64 1 N)) (sqrt.f64 N)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 N 1)) 2) (/.f64 (cbrt.f64 (+.f64 N 1)) (sqrt.f64 N))) (sqrt.f64 N))
(/.f64 (/.f64 (+.f64 N 1) (sqrt.f64 N)) (sqrt.f64 N))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 N)) 1) (/.f64 (sqrt.f64 (+.f64 1 N)) N))
(/.f64 (+.f64 N 1) N)
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 N)) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (sqrt.f64 (+.f64 1 N)) (cbrt.f64 N)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (+.f64 N 1) (cbrt.f64 N)))
(/.f64 (/.f64 (+.f64 N 1) (cbrt.f64 N)) (pow.f64 (cbrt.f64 N) 2))
(.f64 (.f64 (+.f64 1 N) (cbrt.f64 (pow.f64 N -2))) (/.f64 1 (cbrt.f64 N)))
(.f64 (+.f64 N 1) (.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N))))
(*.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 (+.f64 N 1) (cbrt.f64 N)))
(.f64 (.f64 (+.f64 1 N) (pow.f64 N -1/2)) (pow.f64 N -1/2))
(/.f64 (+.f64 N 1) N)
(pow.f64 (/.f64 (+.f64 1 N) N) 1)
(/.f64 (+.f64 N 1) N)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 N) N)) 3)
(/.f64 (+.f64 N 1) N)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 N) N) 3) 1/3)
(/.f64 (+.f64 N 1) N)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 N) N)) 2)
(/.f64 (+.f64 N 1) N)
(pow.f64 (/.f64 N (+.f64 1 N)) -1)
(/.f64 (+.f64 N 1) N)
(pow.f64 (exp.f64 1) (-.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (+.f64 N 1) N)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (+.f64 N 1) N)
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (+.f64 N 1) N)
(neg.f64 (/.f64 (+.f64 1 N) N))
(/.f64 (+.f64 N 1) (neg.f64 N))
(/.f64 (-.f64 -1 N) N)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 N) N) 2))
(/.f64 (+.f64 N 1) N)
(log.f64 (exp.f64 (/.f64 (+.f64 1 N) N)))
(/.f64 (+.f64 N 1) N)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 N) N))))
(/.f64 (+.f64 N 1) N)
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 N) N) 3))
(/.f64 (+.f64 N 1) N)
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 (/.f64 1 N) 3)))
(/.f64 (+.f64 N 1) N)
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 N) 3) (pow.f64 N 3)))
(/.f64 (+.f64 N 1) N)
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 N) N)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 N 1) N)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 N) N)))
(/.f64 (+.f64 N 1) N)
(exp.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (+.f64 N 1) N)
(exp.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1))
(/.f64 (+.f64 N 1) N)

eval239.0ms (2.7%)

Compiler: Compiled 10656 to 7818 computations (26.6% saved)

prune251.0ms (2.8%)

Pruning

17 alts after pruning (12 fresh and 5 done)

	Pruned	Kept	Total
New	552	10	562
Fresh	4	2	6
Picked	0	5	5
Done	0	0	0
Total	556	17	573

Accuracy

100.0%

Counts

573 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.2%	(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
▶	95.3%	(pow.f64 (/.f64 N (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N))) -1)
▶	99.1%	(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
	93.3%	(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) N)) 3)
	94.6%	(/.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) (sqrt.f64 N)) (sqrt.f64 N))
▶	91.8%	(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
▶	98.2%	(/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (-.f64 -1/3 (/.f64 (-.f64 -1/4 (/.f64 (+.f64 (/.f64 1/6 N) -1/5) N)) N)) N)) N)) (neg.f64 N))
✓	97.7%	(/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (-.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N)) (neg.f64 N))
	96.8%	(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)
✓	95.2%	(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
	94.8%	(/.f64 (+.f64 1/3 (*.f64 N (-.f64 N 1/2))) (pow.f64 N 3))
	97.1%	(/.f64 (+.f64 1/5 (.f64 N (-.f64 (.f64 N (+.f64 1/3 (*.f64 N (-.f64 N 1/2)))) 1/4))) (pow.f64 N 5))
▶	95.1%	(/.f64 (+.f64 -1 (+.f64 2 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) N)
✓	83.0%	(/.f64 1 N)
	95.2%	(*.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) (/.f64 1 N))
✓	99.8%	(log1p.f64 (/.f64 1 N))
✓	28.1%	(log.f64 (/.f64 (+.f64 N 1) N))

Compiler

Compiled 391 to 301 computations (23% saved)

localize583.0ms (6.6%)

Localize:

Found 17 expressions with local error:

New	Accuracy	Program
✓	99.9%	(/.f64 N (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)))
✓	99.9%	(pow.f64 (/.f64 N (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N))) -1)
✓	99.8%	(/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)
	99.4%	(/.f64 1/3 N)
✓	99.7%	(+.f64 (/.f64 1/6 N) -1/5)
✓	99.5%	(/.f64 (+.f64 (/.f64 1/6 N) -1/5) N)
✓	99.5%	(/.f64 (-.f64 -1/3 (/.f64 (-.f64 -1/4 (/.f64 (+.f64 (/.f64 1/6 N) -1/5) N)) N)) N)
✓	99.4%	(/.f64 1/6 N)
	99.8%	(/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)
✓	99.8%	(/.f64 (+.f64 -1 (+.f64 2 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) N)
✓	99.7%	(+.f64 -1 (+.f64 2 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))
	99.4%	(/.f64 1/3 N)
✓	100.0%	(-.f64 1 (/.f64 1/2 N))
✓	99.8%	(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
	99.8%	(log1p.f64 (/.f64 1 N))
✓	99.8%	(sqrt.f64 (log1p.f64 (/.f64 1 N)))
✓	99.2%	(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)

Results

367.0ms	255×	256	valid
1.0ms	1×	256	valid

Compiler

Compiled 301 to 227 computations (24.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 311.0ms

Operation ival-div, time spent: 138.0ms, 44.0% of total-time

Operation ival-add, time spent: 42.0ms, 14.0% of total-time

Operation ival-sub, time spent: 39.0ms, 13.0% of total-time

Operation composed, time spent: 35.0ms, 11.0% of total-time

Operation ival-log, time spent: 27.0ms, 9.0% of total-time

Operation const, time spent: 14.0ms, 5.0% of total-time

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

Operation ival-pow, time spent: 6.0ms, 2.0% of total-time

Operation ival-neg, time spent: 1.0ms, 0.0% of total-time

series43.0ms (0.5%)

Counts

13 → 216

Calls

Call 1

Inputs
#<alt (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)>
#<alt (sqrt.f64 (log1p.f64 (/.f64 1 N)))>
#<alt (/.f64 (-.f64 1 (/.f64 1/2 N)) N)>
#<alt (-.f64 1 (/.f64 1/2 N))>
#<alt (+.f64 -1 (+.f64 2 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))>
#<alt (/.f64 (+.f64 -1 (+.f64 2 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) N)>
#<alt (/.f64 1/6 N)>
#<alt (/.f64 (-.f64 -1/3 (/.f64 (-.f64 -1/4 (/.f64 (+.f64 (/.f64 1/6 N) -1/5) N)) N)) N)>
#<alt (/.f64 (+.f64 (/.f64 1/6 N) -1/5) N)>
#<alt (+.f64 (/.f64 1/6 N) -1/5)>
#<alt (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)>
#<alt (pow.f64 (/.f64 N (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N))) -1)>
#<alt (/.f64 N (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) 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 (.f64 -1 (log.f64 N)) (.f64 N (+.f64 1 (.f64 N (-.f64 (.f64 N (+.f64 1/3 (*.f64 -1/4 N))) 1/2)))))>
#<alt (+.f64 (.f64 -1 (log.f64 N)) (.f64 N (+.f64 1 (.f64 N (-.f64 (.f64 N (+.f64 1/3 (.f64 N (-.f64 (.f64 1/5 N) 1/4)))) 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 (-.f64 (+.f64 1 (+.f64 (/.f64 1/5 (pow.f64 N 4)) (/.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 (-.f64 (+.f64 1 (+.f64 (/.f64 1/5 (pow.f64 N 4)) (/.f64 1/3 (pow.f64 N 2)))) (+.f64 (.f64 1/2 (/.f64 1 N)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 3))) (*.f64 1/6 (/.f64 1 (pow.f64 N 5)))))) 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 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (*.f64 1/5 (/.f64 1 N)) 1/4) N)) 1/3) N)) 1/2) N)) 1) N))>
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#<alt -1/5>
#<alt (-.f64 (*.f64 1/6 (/.f64 1 N)) 1/5)>
#<alt (-.f64 (*.f64 1/6 (/.f64 1 N)) 1/5)>
#<alt (-.f64 (*.f64 1/6 (/.f64 1 N)) 1/5)>
#<alt (-.f64 (*.f64 1/6 (/.f64 1 N)) 1/5)>
#<alt (-.f64 (*.f64 1/6 (/.f64 1 N)) 1/5)>
#<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 (+.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 (-.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 (/.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 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 (+.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 (-.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 (/.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 3 (pow.f64 N 3))>
#<alt (.f64 (pow.f64 N 3) (+.f64 3 (.f64 9/2 N)))>
#<alt (.f64 (pow.f64 N 3) (+.f64 3 (.f64 N (+.f64 9/2 (*.f64 -9/4 N)))))>
#<alt (.f64 (pow.f64 N 3) (+.f64 3 (.f64 N (+.f64 9/2 (.f64 N (-.f64 (.f64 -135/8 N) 9/4))))))>
#<alt (.f64 (pow.f64 N 3) (+.f64 3 (.f64 N (+.f64 9/2 (.f64 N (-.f64 (.f64 N (-.f64 (*.f64 -297/16 N) 135/8)) 9/4))))))>
#<alt (.f64 (pow.f64 N 3) (+.f64 3 (.f64 N (+.f64 9/2 (.f64 N (-.f64 (.f64 N (-.f64 (.f64 N (-.f64 (.f64 729/32 N) 297/16)) 135/8)) 9/4))))))>
#<alt N>
#<alt (.f64 N (+.f64 1 (.f64 1/2 (/.f64 1 N))))>
#<alt (.f64 N (-.f64 (+.f64 1 (.f64 1/2 (/.f64 1 N))) (/.f64 1/12 (pow.f64 N 2))))>
#<alt (.f64 N (+.f64 1 (+.f64 (.f64 -1 (/.f64 (+.f64 1/12 (.f64 5/24 (/.f64 1 N))) (pow.f64 N 2))) (.f64 1/2 (/.f64 1 N)))))>
#<alt (.f64 N (-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 (+.f64 5/24 (.f64 11/144 (/.f64 1 N))) (pow.f64 N 3))) (.f64 1/2 (/.f64 1 N)))) (/.f64 1/12 (pow.f64 N 2))))>
#<alt (.f64 N (-.f64 (+.f64 1 (+.f64 (.f64 1/2 (/.f64 1 N)) (.f64 1/32 (/.f64 1 (pow.f64 N 5))))) (+.f64 (/.f64 11/144 (pow.f64 N 4)) (+.f64 (/.f64 1/12 (pow.f64 N 2)) (.f64 5/24 (/.f64 1 (pow.f64 N 3)))))))>
#<alt N>
#<alt (.f64 N (+.f64 1 (.f64 1/2 (/.f64 1 N))))>
#<alt (.f64 -1 (.f64 N (-.f64 (.f64 -1 (/.f64 (-.f64 1/2 (.f64 1/12 (/.f64 1 N))) N)) 1)))>
#<alt (.f64 -1 (.f64 N (-.f64 (.f64 -1 (/.f64 (+.f64 1/2 (.f64 -1 (/.f64 (+.f64 1/12 (*.f64 5/24 (/.f64 1 N))) N))) N)) 1)))>
#<alt (.f64 -1 (.f64 N (-.f64 (.f64 -1 (/.f64 (+.f64 1/2 (.f64 -1 (/.f64 (+.f64 1/12 (+.f64 (/.f64 11/144 (pow.f64 N 2)) (*.f64 5/24 (/.f64 1 N)))) N))) N)) 1)))>
#<alt (.f64 -1 (.f64 N (-.f64 (.f64 -1 (/.f64 (+.f64 1/2 (.f64 -1 (/.f64 (+.f64 1/12 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 11/144 (*.f64 1/32 (/.f64 1 N))) N)) 5/24) N))) N))) N)) 1)))>

Calls

39 calls:

Time	Variable		Point	Expression
7.0ms	N	@	-inf	(/ N (+ 1 (/ (+ (/ 1/3 N) -1/2) N)))
4.0ms	N	@	0	(sqrt (log (+ 1 (/ 1 N))))
3.0ms	N	@	-inf	(/ (- -1/3 (/ (- -1/4 (/ (+ (/ 1/6 N) -1/5) N)) N)) N)
2.0ms	N	@	-inf	(sqrt (log (+ 1 (/ 1 N))))
2.0ms	N	@	inf	(sqrt (log (+ 1 (/ 1 N))))

rewrite135.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

398×	`frac-times`
279×	`log1p-expm1-u`
279×	`expm1-log1p-u`
273×	`pow1`
271×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	355
1	728	355

Stop Event

1×	node limit

Counts

13 → 368

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
(sqrt.f64 (log1p.f64 (/.f64 1 N)))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(-.f64 1 (/.f64 1/2 N))
(+.f64 -1 (+.f64 2 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))
(/.f64 (+.f64 -1 (+.f64 2 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) N)
(/.f64 1/6 N)
(/.f64 (-.f64 -1/3 (/.f64 (-.f64 -1/4 (/.f64 (+.f64 (/.f64 1/6 N) -1/5) N)) N)) N)
(/.f64 (+.f64 (/.f64 1/6 N) -1/5) N)
(+.f64 (/.f64 1/6 N) -1/5)
(/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)
(pow.f64 (/.f64 N (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N))) -1)
(/.f64 N (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)))

Outputs
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 1 N)))) 1)
(*.f64 1 (log1p.f64 (/.f64 1 N)))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))
(log.f64 (+.f64 1 (/.f64 1 N)))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
(cbrt.f64 (*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2) (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)))
(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 (sqrt.f64 (log1p.f64 (/.f64 1 N))))) 1)
(*.f64 1 (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) 1/2) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2)) (sqrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(pow.f64 (log1p.f64 (/.f64 1 N)) 1/2)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2) 1/3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 1/4) 2)
(fabs.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(log.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(exp.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) 1))
(+.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 (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 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 (neg.f64 (-.f64 1 (/.f64 1/2 N))) (/.f64 1 (neg.f64 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)))
(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)
(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 (log.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) 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 1 (neg.f64 (/.f64 1/2 N)))
(*.f64 1 (-.f64 1 (/.f64 1/2 N)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 1/2 N))) 2) (cbrt.f64 (-.f64 1 (/.f64 1/2 N))))
(*.f64 (sqrt.f64 (-.f64 1 (/.f64 1/2 N))) (sqrt.f64 (-.f64 1 (/.f64 1/2 N))))
(*.f64 (-.f64 1 (/.f64 1/8 (pow.f64 N 3))) (/.f64 1 (+.f64 1 (+.f64 (/.f64 1/4 (pow.f64 N 2)) (/.f64 1/2 N)))))
(*.f64 (-.f64 1 (/.f64 1/4 (pow.f64 N 2))) (/.f64 1 (+.f64 1 (/.f64 1/2 N))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (/.f64 1/4 (pow.f64 N 2)) (/.f64 1/2 N))) (-.f64 1 (/.f64 1/8 (pow.f64 N 3)))))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 1/2 N)) (-.f64 1 (/.f64 1/4 (pow.f64 N 2)))))
(/.f64 (-.f64 1 (/.f64 1/8 (pow.f64 N 3))) (+.f64 1 (+.f64 (/.f64 1/4 (pow.f64 N 2)) (/.f64 1/2 N))))
(/.f64 (-.f64 1 (/.f64 1/4 (pow.f64 N 2))) (+.f64 1 (/.f64 1/2 N)))
(/.f64 (neg.f64 (-.f64 1 (/.f64 1/8 (pow.f64 N 3)))) (neg.f64 (+.f64 1 (+.f64 (/.f64 1/4 (pow.f64 N 2)) (/.f64 1/2 N)))))
(/.f64 (neg.f64 (-.f64 1 (/.f64 1/4 (pow.f64 N 2)))) (neg.f64 (+.f64 1 (/.f64 1/2 N))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (/.f64 1/2 N)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (/.f64 1/2 N)) (neg.f64 (/.f64 1/2 N))) (neg.f64 (/.f64 1/2 N)))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (/.f64 1/2 N)) (neg.f64 (/.f64 1/2 N)))) (-.f64 1 (neg.f64 (/.f64 1/2 N))))
(pow.f64 (-.f64 1 (/.f64 1/2 N)) 1)
(pow.f64 (cbrt.f64 (-.f64 1 (/.f64 1/2 N))) 3)
(pow.f64 (pow.f64 (-.f64 1 (/.f64 1/2 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 1 (/.f64 1/2 N))) 2)
(sqrt.f64 (pow.f64 (-.f64 1 (/.f64 1/2 N)) 2))
(log.f64 (exp.f64 (-.f64 1 (/.f64 1/2 N))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (/.f64 1/2 N)))))
(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 1/2 N)) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (/.f64 1/2 N))))
(log1p.f64 (expm1.f64 (-.f64 1 (/.f64 1/2 N))))
(exp.f64 (log1p.f64 (neg.f64 (/.f64 1/2 N))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (/.f64 1/2 N))) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))) 1)
(-.f64 (/.f64 1 (-.f64 -1 (+.f64 2 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))) (/.f64 (pow.f64 (+.f64 2 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) 2) (-.f64 -1 (+.f64 2 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))))
(-.f64 (/.f64 1 (-.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) (/.f64 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N) 2) (-.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))))
(*.f64 1 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) 2) (cbrt.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))))
(*.f64 (sqrt.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) (sqrt.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 2 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (+.f64 2 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) 2) (neg.f64 (+.f64 2 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))))))
(*.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N) 2) (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))))
(*.f64 (-.f64 1 (pow.f64 (+.f64 2 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) 2)) (/.f64 1 (-.f64 -1 (+.f64 2 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N) 2)) (/.f64 1 (-.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 2 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) 2) (neg.f64 (+.f64 2 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))))) (+.f64 -1 (pow.f64 (+.f64 2 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) 3))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N) 2) (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) (+.f64 1 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N) 3))))
(/.f64 1 (/.f64 (-.f64 -1 (+.f64 2 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) (-.f64 1 (pow.f64 (+.f64 2 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) 2))))
(/.f64 1 (/.f64 (-.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) (-.f64 1 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N) 2))))
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(pow.f64 (/.f64 (+.f64 (/.f64 1/6 N) -1/5) N) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 1/6 N) -1/5) N)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 (/.f64 1/6 N) -1/5) N) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 1/6 N) -1/5) N)) 2)
(pow.f64 (/.f64 N (+.f64 (/.f64 1/6 N) -1/5)) -1)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 1/6 N) -1/5) N) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 (/.f64 1/6 N) -1/5) N)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (/.f64 1/6 N) -1/5) N))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 1/6 N) -1/5) N) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 1/6 N) -1/5) N)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (/.f64 1/6 N) -1/5) N)))
(exp.f64 (log.f64 (/.f64 (+.f64 (/.f64 1/6 N) -1/5) N)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (/.f64 1/6 N) -1/5) N)) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 1/6 N) -1/5))) 1)
(-.f64 (/.f64 (/.f64 1/36 (pow.f64 N 2)) (+.f64 (/.f64 1/6 N) 1/5)) (/.f64 1/25 (+.f64 (/.f64 1/6 N) 1/5)))
(*.f64 1 (+.f64 (/.f64 1/6 N) -1/5))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1/6 N) -1/5)) 2) (cbrt.f64 (+.f64 (/.f64 1/6 N) -1/5)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 1/6 N) -1/5)) (sqrt.f64 (+.f64 (/.f64 1/6 N) -1/5)))
(.f64 (+.f64 (/.f64 1/216 (pow.f64 N 3)) -1/125) (/.f64 1 (+.f64 (/.f64 1/36 (pow.f64 N 2)) (-.f64 1/25 (.f64 (/.f64 1/6 N) -1/5)))))
(*.f64 (+.f64 (/.f64 1/36 (pow.f64 N 2)) -1/25) (/.f64 1 (+.f64 (/.f64 1/6 N) 1/5)))
(/.f64 1 (/.f64 (+.f64 (/.f64 1/36 (pow.f64 N 2)) (-.f64 1/25 (*.f64 (/.f64 1/6 N) -1/5))) (+.f64 (/.f64 1/216 (pow.f64 N 3)) -1/125)))
(/.f64 1 (/.f64 (+.f64 (/.f64 1/6 N) 1/5) (+.f64 (/.f64 1/36 (pow.f64 N 2)) -1/25)))
(/.f64 (+.f64 (/.f64 1/216 (pow.f64 N 3)) -1/125) (+.f64 (/.f64 1/36 (pow.f64 N 2)) (-.f64 1/25 (*.f64 (/.f64 1/6 N) -1/5))))
(/.f64 (+.f64 (/.f64 1/36 (pow.f64 N 2)) -1/25) (+.f64 (/.f64 1/6 N) 1/5))
(/.f64 (neg.f64 (+.f64 (/.f64 1/216 (pow.f64 N 3)) -1/125)) (neg.f64 (+.f64 (/.f64 1/36 (pow.f64 N 2)) (-.f64 1/25 (*.f64 (/.f64 1/6 N) -1/5)))))
(/.f64 (neg.f64 (+.f64 (/.f64 1/36 (pow.f64 N 2)) -1/25)) (neg.f64 (+.f64 (/.f64 1/6 N) 1/5)))
(/.f64 (+.f64 -1/125 (/.f64 1/216 (pow.f64 N 3))) (+.f64 1/25 (-.f64 (/.f64 1/36 (pow.f64 N 2)) (*.f64 -1/5 (/.f64 1/6 N)))))
(/.f64 (-.f64 1/25 (/.f64 1/36 (pow.f64 N 2))) (-.f64 -1/5 (/.f64 1/6 N)))
(pow.f64 (+.f64 (/.f64 1/6 N) -1/5) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1/6 N) -1/5)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 1/6 N) -1/5) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1/6 N) -1/5)) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1/6 N) -1/5) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 1/6 N) -1/5)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1/6 N) -1/5))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1/6 N) -1/5) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 1/6 N) -1/5)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1/6 N) -1/5)))
(exp.f64 (log.f64 (+.f64 (/.f64 1/6 N) -1/5)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1/6 N) -1/5)) 1))
(fma.f64 1 (/.f64 1/6 N) -1/5)
(fma.f64 1/6 (/.f64 1 N) -1/5)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/6 N)) 2) (cbrt.f64 (/.f64 1/6 N)) -1/5)
(fma.f64 (sqrt.f64 (/.f64 1/6 N)) (sqrt.f64 (/.f64 1/6 N)) -1/5)
(-.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) 1)
(*.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))
(*.f64 (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 N))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) 2) (cbrt.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))
(*.f64 (pow.f64 N -1/2) (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) (sqrt.f64 N)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) (sqrt.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))
(*.f64 (neg.f64 (+.f64 -1/2 (/.f64 1/3 N))) (/.f64 1 (neg.f64 N)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) (cbrt.f64 N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1/2 (/.f64 1/3 N))) 2) 1) (/.f64 (cbrt.f64 (+.f64 -1/2 (/.f64 1/3 N))) N))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1/2 (/.f64 1/3 N))) 2) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1/2 (/.f64 1/3 N))) 2) (sqrt.f64 N)) (/.f64 (cbrt.f64 (+.f64 -1/2 (/.f64 1/3 N))) (sqrt.f64 N)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1/2 (/.f64 1/3 N))) 1) (/.f64 (sqrt.f64 (+.f64 -1/2 (/.f64 1/3 N))) N))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1/2 (/.f64 1/3 N))) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (sqrt.f64 (+.f64 -1/2 (/.f64 1/3 N))) (cbrt.f64 N)))
(pow.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) 2)
(pow.f64 (/.f64 N (+.f64 -1/2 (/.f64 1/3 N))) -1)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))
(exp.f64 (log.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N))) 1)
(*.f64 1 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N))
(*.f64 (/.f64 1 N) (pow.f64 (exp.f64 (neg.f64 (log1p.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))) -1))
(*.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) (/.f64 1 N))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)) 2) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)))
(*.f64 (pow.f64 N -1/2) (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) (sqrt.f64 N)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)) (sqrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)))
(*.f64 (neg.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) (/.f64 1 (neg.f64 N)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 N (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 N (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 N (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))) -1) (pow.f64 (sqrt.f64 (/.f64 N (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) (cbrt.f64 N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) N))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) 2) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) 2) (sqrt.f64 N)) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) (sqrt.f64 N)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) 1) (/.f64 (sqrt.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) N))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (sqrt.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) (cbrt.f64 N)))
(/.f64 1 (/.f64 N (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))))
(/.f64 1 (/.f64 (/.f64 N (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) 1))
(/.f64 -1 (neg.f64 (/.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 (neg.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) (neg.f64 N))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (+.f64 2 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) 3)) 1) (.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 2 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) 2) (neg.f64 (+.f64 2 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))))) N))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (+.f64 2 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) 3)) -1) (.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 2 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) 2) (neg.f64 (+.f64 2 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))))) (neg.f64 N)))
(/.f64 (.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N) 3)) 1) (.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N) 2) (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) N))
(/.f64 (.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N) 3)) -1) (.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N) 2) (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) (neg.f64 N)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (+.f64 2 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) 2)) 1) (.f64 (-.f64 -1 (+.f64 2 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) N))
(/.f64 (.f64 (-.f64 1 (pow.f64 (+.f64 2 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) 2)) -1) (.f64 (-.f64 -1 (+.f64 2 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) (neg.f64 N)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N) 2)) 1) (.f64 (-.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N))
(/.f64 (.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N) 2)) -1) (.f64 (-.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) (neg.f64 N)))
(/.f64 (neg.f64 (neg.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))) (neg.f64 (neg.f64 N)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) 3) (pow.f64 (/.f64 1 N) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) 3) (pow.f64 N 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) (log.f64 N)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) (log.f64 N)) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 N (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))))) 1)
(*.f64 1 (/.f64 N (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))))
(*.f64 N (exp.f64 (neg.f64 (log1p.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 N (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))) 2) (cbrt.f64 (/.f64 N (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))))
(*.f64 (sqrt.f64 (/.f64 N (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))) (sqrt.f64 (/.f64 N (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))))
(*.f64 (neg.f64 N) (/.f64 1 (neg.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 N) 2) 1) (/.f64 (cbrt.f64 N) (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))))
(*.f64 (/.f64 (sqrt.f64 N) 1) (/.f64 (sqrt.f64 N) (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) 2)) (/.f64 N (cbrt.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))) (/.f64 N (sqrt.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 N) 2) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) 2)) (cbrt.f64 (/.f64 N (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 N) 2) (sqrt.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))) (/.f64 (cbrt.f64 N) (sqrt.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))))
(*.f64 (/.f64 (sqrt.f64 N) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) 2)) (/.f64 (sqrt.f64 N) (cbrt.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))))
(pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N) -1)
(pow.f64 (/.f64 N (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) 1)
(pow.f64 (cbrt.f64 (/.f64 N (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))) 3)
(pow.f64 (pow.f64 (/.f64 N (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 N (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))) 2)
(sqrt.f64 (pow.f64 (/.f64 N (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) 2))
(log.f64 (exp.f64 (/.f64 N (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 N (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))))))
(cbrt.f64 (pow.f64 (/.f64 N (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) 3))
(cbrt.f64 (/.f64 (pow.f64 N 3) (pow.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) 3)))
(expm1.f64 (log1p.f64 (/.f64 N (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))))
(log1p.f64 (expm1.f64 (/.f64 N (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))))
(exp.f64 (-.f64 (log.f64 N) (log1p.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))))
(exp.f64 (*.f64 (-.f64 (log.f64 N) (log1p.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) 1))

simplify230.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

892×	`fma-define`
746×	`distribute-rgt-in`
702×	`distribute-lft-in`
630×	`times-frac`
588×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1227	26446
1	3168	24599

Stop Event

1×	node limit

Counts

584 → 689

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 (.f64 -1 (log.f64 N)) (.f64 N (+.f64 1 (.f64 N (-.f64 (.f64 N (+.f64 1/3 (*.f64 -1/4 N))) 1/2)))))
(+.f64 (.f64 -1 (log.f64 N)) (.f64 N (+.f64 1 (.f64 N (-.f64 (.f64 N (+.f64 1/3 (.f64 N (-.f64 (.f64 1/5 N) 1/4)))) 1/2)))))
(/.f64 1 N)
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(*.f64 (+.f64 (/.f64 1/36 (pow.f64 N 2)) -1/25) (/.f64 1 (+.f64 (/.f64 1/6 N) 1/5)))
(/.f64 1 (/.f64 (+.f64 (/.f64 1/36 (pow.f64 N 2)) (-.f64 1/25 (*.f64 (/.f64 1/6 N) -1/5))) (+.f64 (/.f64 1/216 (pow.f64 N 3)) -1/125)))
(/.f64 1 (/.f64 (+.f64 (/.f64 1/6 N) 1/5) (+.f64 (/.f64 1/36 (pow.f64 N 2)) -1/25)))
(/.f64 (+.f64 (/.f64 1/216 (pow.f64 N 3)) -1/125) (+.f64 (/.f64 1/36 (pow.f64 N 2)) (-.f64 1/25 (*.f64 (/.f64 1/6 N) -1/5))))
(/.f64 (+.f64 (/.f64 1/36 (pow.f64 N 2)) -1/25) (+.f64 (/.f64 1/6 N) 1/5))
(/.f64 (neg.f64 (+.f64 (/.f64 1/216 (pow.f64 N 3)) -1/125)) (neg.f64 (+.f64 (/.f64 1/36 (pow.f64 N 2)) (-.f64 1/25 (*.f64 (/.f64 1/6 N) -1/5)))))
(/.f64 (neg.f64 (+.f64 (/.f64 1/36 (pow.f64 N 2)) -1/25)) (neg.f64 (+.f64 (/.f64 1/6 N) 1/5)))
(/.f64 (+.f64 -1/125 (/.f64 1/216 (pow.f64 N 3))) (+.f64 1/25 (-.f64 (/.f64 1/36 (pow.f64 N 2)) (*.f64 -1/5 (/.f64 1/6 N)))))
(/.f64 (-.f64 1/25 (/.f64 1/36 (pow.f64 N 2))) (-.f64 -1/5 (/.f64 1/6 N)))
(pow.f64 (+.f64 (/.f64 1/6 N) -1/5) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 1/6 N) -1/5)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 1/6 N) -1/5) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 1/6 N) -1/5)) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 1/6 N) -1/5) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 1/6 N) -1/5)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1/6 N) -1/5))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 1/6 N) -1/5) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 1/6 N) -1/5)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 1/6 N) -1/5)))
(exp.f64 (log.f64 (+.f64 (/.f64 1/6 N) -1/5)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 1/6 N) -1/5)) 1))
(fma.f64 1 (/.f64 1/6 N) -1/5)
(fma.f64 1/6 (/.f64 1 N) -1/5)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 1/6 N)) 2) (cbrt.f64 (/.f64 1/6 N)) -1/5)
(fma.f64 (sqrt.f64 (/.f64 1/6 N)) (sqrt.f64 (/.f64 1/6 N)) -1/5)
(-.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) 1)
(*.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))
(*.f64 (+.f64 -1/2 (/.f64 1/3 N)) (/.f64 1 N))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) 2) (cbrt.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))
(*.f64 (pow.f64 N -1/2) (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) (sqrt.f64 N)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) (sqrt.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))
(*.f64 (neg.f64 (+.f64 -1/2 (/.f64 1/3 N))) (/.f64 1 (neg.f64 N)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) (cbrt.f64 N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1/2 (/.f64 1/3 N))) 2) 1) (/.f64 (cbrt.f64 (+.f64 -1/2 (/.f64 1/3 N))) N))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1/2 (/.f64 1/3 N))) 2) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1/2 (/.f64 1/3 N))) 2) (sqrt.f64 N)) (/.f64 (cbrt.f64 (+.f64 -1/2 (/.f64 1/3 N))) (sqrt.f64 N)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1/2 (/.f64 1/3 N))) 1) (/.f64 (sqrt.f64 (+.f64 -1/2 (/.f64 1/3 N))) N))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1/2 (/.f64 1/3 N))) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (sqrt.f64 (+.f64 -1/2 (/.f64 1/3 N))) (cbrt.f64 N)))
(pow.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) 2)
(pow.f64 (/.f64 N (+.f64 -1/2 (/.f64 1/3 N))) -1)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))
(exp.f64 (log.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N))) 1)
(*.f64 1 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N))
(*.f64 (/.f64 1 N) (pow.f64 (exp.f64 (neg.f64 (log1p.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))) -1))
(*.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) (/.f64 1 N))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)) 2) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)))
(*.f64 (pow.f64 N -1/2) (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) (sqrt.f64 N)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)) (sqrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)))
(*.f64 (neg.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) (/.f64 1 (neg.f64 N)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 N (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 N (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 N (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))) -1) (pow.f64 (sqrt.f64 (/.f64 N (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) (cbrt.f64 N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) N))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) 2) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) 2) (sqrt.f64 N)) (/.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) (sqrt.f64 N)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) 1) (/.f64 (sqrt.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) N))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (sqrt.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) (cbrt.f64 N)))
(/.f64 1 (/.f64 N (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))))
(/.f64 1 (/.f64 (/.f64 N (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) 1))
(/.f64 -1 (neg.f64 (/.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 (neg.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) (neg.f64 N))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (+.f64 2 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) 3)) 1) (.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 2 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) 2) (neg.f64 (+.f64 2 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))))) N))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (+.f64 2 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) 3)) -1) (.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 2 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) 2) (neg.f64 (+.f64 2 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))))) (neg.f64 N)))
(/.f64 (.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N) 3)) 1) (.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N) 2) (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) N))
(/.f64 (.f64 (+.f64 1 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N) 3)) -1) (.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N) 2) (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) (neg.f64 N)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (+.f64 2 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) 2)) 1) (.f64 (-.f64 -1 (+.f64 2 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) N))
(/.f64 (.f64 (-.f64 1 (pow.f64 (+.f64 2 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) 2)) -1) (.f64 (-.f64 -1 (+.f64 2 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) (neg.f64 N)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N) 2)) 1) (.f64 (-.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N))
(/.f64 (.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N) 2)) -1) (.f64 (-.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) (neg.f64 N)))
(/.f64 (neg.f64 (neg.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))) (neg.f64 (neg.f64 N)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) 3) (pow.f64 (/.f64 1 N) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) 3) (pow.f64 N 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)))
(exp.f64 (-.f64 (log1p.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) (log.f64 N)))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) (log.f64 N)) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 N (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))))) 1)
(*.f64 1 (/.f64 N (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))))
(*.f64 N (exp.f64 (neg.f64 (log1p.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 N (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))) 2) (cbrt.f64 (/.f64 N (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))))
(*.f64 (sqrt.f64 (/.f64 N (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))) (sqrt.f64 (/.f64 N (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))))
(*.f64 (neg.f64 N) (/.f64 1 (neg.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 N) 2) 1) (/.f64 (cbrt.f64 N) (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))))
(*.f64 (/.f64 (sqrt.f64 N) 1) (/.f64 (sqrt.f64 N) (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) 2)) (/.f64 N (cbrt.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))) (/.f64 N (sqrt.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 N) 2) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) 2)) (cbrt.f64 (/.f64 N (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 N) 2) (sqrt.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))) (/.f64 (cbrt.f64 N) (sqrt.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))))
(*.f64 (/.f64 (sqrt.f64 N) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) 2)) (/.f64 (sqrt.f64 N) (cbrt.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))))
(pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N) -1)
(pow.f64 (/.f64 N (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) 1)
(pow.f64 (cbrt.f64 (/.f64 N (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))) 3)
(pow.f64 (pow.f64 (/.f64 N (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 N (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))) 2)
(sqrt.f64 (pow.f64 (/.f64 N (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) 2))
(log.f64 (exp.f64 (/.f64 N (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 N (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))))))
(cbrt.f64 (pow.f64 (/.f64 N (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) 3))
(cbrt.f64 (/.f64 (pow.f64 N 3) (pow.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) 3)))
(expm1.f64 (log1p.f64 (/.f64 N (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))))
(log1p.f64 (expm1.f64 (/.f64 N (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))))
(exp.f64 (-.f64 (log.f64 N) (log1p.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))))
(exp.f64 (*.f64 (-.f64 (log.f64 N) (log1p.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) 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 (.f64 -1 (log.f64 N)) (.f64 N (+.f64 1 (.f64 N (-.f64 (.f64 N (+.f64 1/3 (*.f64 -1/4 N))) 1/2)))))
(fma.f64 -1 (log.f64 N) (.f64 N (+.f64 1 (.f64 N (fma.f64 N (+.f64 1/3 (*.f64 N -1/4)) -1/2)))))
(-.f64 (*.f64 N (fma.f64 N (fma.f64 N (fma.f64 N -1/4 1/3) -1/2) 1)) (log.f64 N))
(+.f64 (.f64 -1 (log.f64 N)) (.f64 N (+.f64 1 (.f64 N (-.f64 (.f64 N (+.f64 1/3 (.f64 N (-.f64 (.f64 1/5 N) 1/4)))) 1/2)))))
(fma.f64 -1 (log.f64 N) (.f64 N (+.f64 1 (.f64 N (fma.f64 N (+.f64 1/3 (*.f64 N (fma.f64 1/5 N -1/4))) -1/2)))))
(fma.f64 N (fma.f64 N (fma.f64 N (fma.f64 N (fma.f64 N 1/5 -1/4) 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 (+.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 1/3 (pow.f64 N 2)) (/.f64 -1/2 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 1/3 (pow.f64 N 2))) (+.f64 (/.f64 1/4 (pow.f64 N 3)) (/.f64 1/2 N))) N)
(/.f64 (-.f64 (+.f64 1 (+.f64 (/.f64 1/5 (pow.f64 N 4)) (/.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 1/5 (pow.f64 N 4)))) (+.f64 (/.f64 1/4 (pow.f64 N 3)) (/.f64 1/2 N))) N)
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(log1p.f64 (expm1.f64 (/.f64 N (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))))
(/.f64 N (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))
(/.f64 N (-.f64 1 (/.f64 (+.f64 1/2 (/.f64 -1/3 N)) N)))
(exp.f64 (-.f64 (log.f64 N) (log1p.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))))
(/.f64 N (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))
(/.f64 N (-.f64 1 (/.f64 (+.f64 1/2 (/.f64 -1/3 N)) N)))
(exp.f64 (*.f64 (-.f64 (log.f64 N) (log1p.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) 1))
(/.f64 N (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)))
(/.f64 N (-.f64 1 (/.f64 (+.f64 1/2 (/.f64 -1/3 N)) N)))

eval447.0ms (5.1%)

Compiler: Compiled 20665 to 16048 computations (22.3% saved)

prune169.0ms (1.9%)

Pruning

22 alts after pruning (14 fresh and 8 done)

	Pruned	Kept	Total
New	906	9	915
Fresh	2	5	7
Picked	2	3	5
Done	0	5	5
Total	910	22	932

Accuracy

100.0%

Counts

932 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.2%	(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
	97.1%	(pow.f64 (sqrt.f64 (/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (-.f64 1/3 (/.f64 (+.f64 1/4 (/.f64 -1/5 N)) N)) N)) N)) (neg.f64 N))) 2)
▶	90.1%	(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)) 3)
▶	91.8%	(/.f64 (/.f64 (-.f64 N 1/2) N) N)
	91.6%	(/.f64 (-.f64 N 1/2) (pow.f64 N 2))
✓	91.8%	(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
✓	98.2%	(/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (-.f64 -1/3 (/.f64 (-.f64 -1/4 (/.f64 (+.f64 (/.f64 1/6 N) -1/5) N)) N)) N)) N)) (neg.f64 N))
✓	97.7%	(/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (-.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N)) (neg.f64 N))
▶	91.7%	(/.f64 (+.f64 (+.f64 2 (/.f64 -1/2 N)) -1) N)
▶	96.8%	(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)
✓	95.2%	(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
	94.8%	(/.f64 (+.f64 1/3 (*.f64 N (-.f64 N 1/2))) (pow.f64 N 3))
▶	97.1%	(/.f64 (+.f64 1/5 (.f64 N (-.f64 (.f64 N (+.f64 1/3 (*.f64 N (-.f64 N 1/2)))) 1/4))) (pow.f64 N 5))
✓	95.1%	(/.f64 (+.f64 -1 (+.f64 2 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) N)
	95.3%	(/.f64 1 (/.f64 N (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))))
	91.8%	(/.f64 1 (/.f64 N (+.f64 1 (/.f64 -1/2 N))))
✓	83.0%	(/.f64 1 N)
	91.3%	(*.f64 (pow.f64 N -1/2) (/.f64 (-.f64 1 (/.f64 1/2 N)) (sqrt.f64 N)))
	91.7%	(*.f64 (-.f64 1 (/.f64 1/2 N)) (/.f64 1 N))
	95.2%	(*.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) (/.f64 1 N))
✓	99.8%	(log1p.f64 (/.f64 1 N))
✓	28.1%	(log.f64 (/.f64 (+.f64 N 1) N))

Compiler

Compiled 454 to 351 computations (22.7% saved)

localize383.0ms (4.3%)

Localize:

Found 16 expressions with local error:

New	Accuracy	Program
	100.0%	(-.f64 1 (/.f64 1/2 N))
	99.8%	(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
✓	99.0%	(cbrt.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N))
✓	98.9%	(pow.f64 (cbrt.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)) 3)
✓	99.8%	(/.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)
✓	99.8%	(/.f64 (+.f64 (+.f64 2 (/.f64 -1/2 N)) -1) N)
✓	99.6%	(+.f64 (+.f64 2 (/.f64 -1/2 N)) -1)
✓	100.0%	(/.f64 (-.f64 N 1/2) N)
✓	99.8%	(/.f64 (/.f64 (-.f64 N 1/2) N) N)
✓	99.8%	(+.f64 1/3 (*.f64 N (-.f64 N 1/2)))
✓	99.7%	(.f64 N (-.f64 (.f64 N (+.f64 1/3 (*.f64 N (-.f64 N 1/2)))) 1/4))
✓	99.6%	(.f64 N (+.f64 1/3 (.f64 N (-.f64 N 1/2))))
✓	99.4%	(/.f64 (+.f64 1/5 (.f64 N (-.f64 (.f64 N (+.f64 1/3 (*.f64 N (-.f64 N 1/2)))) 1/4))) (pow.f64 N 5))

Results

267.0ms	255×	256	valid
1.0ms	1×	256	valid

Compiler

Compiled 243 to 178 computations (26.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 184.0ms

Operation ival-div, time spent: 62.0ms, 34.0% of total-time

Operation ival-mult, time spent: 35.0ms, 19.0% of total-time

Operation ival-add, time spent: 34.0ms, 18.0% of total-time

Operation ival-sub, time spent: 26.0ms, 14.0% of total-time

Operation ival-pow, time spent: 12.0ms, 7.0% of total-time

Operation const, time spent: 11.0ms, 6.0% of total-time

Operation ival-cbrt, time spent: 4.0ms, 2.0% of total-time

series69.0ms (0.8%)

Counts

14 → 234

Calls

Call 1

Inputs
#<alt (/.f64 (+.f64 1/5 (.f64 N (-.f64 (.f64 N (+.f64 1/3 (*.f64 N (-.f64 N 1/2)))) 1/4))) (pow.f64 N 5))>
#<alt (.f64 N (+.f64 1/3 (.f64 N (-.f64 N 1/2))))>
#<alt (.f64 N (-.f64 (.f64 N (+.f64 1/3 (*.f64 N (-.f64 N 1/2)))) 1/4))>
#<alt (+.f64 1/3 (*.f64 N (-.f64 N 1/2)))>
#<alt (/.f64 (/.f64 (-.f64 N 1/2) N) N)>
#<alt (/.f64 (-.f64 N 1/2) N)>
#<alt (+.f64 (+.f64 2 (/.f64 -1/2 N)) -1)>
#<alt (/.f64 (+.f64 (+.f64 2 (/.f64 -1/2 N)) -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 (cbrt.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)) 3)>
#<alt (cbrt.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N))>

Outputs
#<alt (/.f64 1/5 (pow.f64 N 5))>
#<alt (/.f64 (+.f64 1/5 (*.f64 -1/4 N)) (pow.f64 N 5))>
#<alt (/.f64 (+.f64 1/5 (.f64 N (-.f64 (.f64 1/3 N) 1/4))) (pow.f64 N 5))>
#<alt (/.f64 (+.f64 1/5 (.f64 N (-.f64 (.f64 N (+.f64 1/3 (*.f64 -1/2 N))) 1/4))) (pow.f64 N 5))>
#<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 (-.f64 (+.f64 1 (+.f64 (/.f64 1/5 (pow.f64 N 4)) (/.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 (-.f64 (+.f64 1 (+.f64 (/.f64 1/5 (pow.f64 N 4)) (/.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 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (*.f64 1/5 (/.f64 1 N)) 1/4) N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (*.f64 1/5 (/.f64 1 N)) 1/4) N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (*.f64 1/3 N)>
#<alt (.f64 N (+.f64 1/3 (.f64 -1/2 N)))>
#<alt (pow.f64 N 3)>
#<alt (.f64 (pow.f64 N 3) (-.f64 1 (.f64 1/2 (/.f64 1 N))))>
#<alt (.f64 (pow.f64 N 3) (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (.f64 1/2 (/.f64 1 N))))>
#<alt (.f64 (pow.f64 N 3) (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (.f64 1/2 (/.f64 1 N))))>
#<alt (.f64 (pow.f64 N 3) (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (.f64 1/2 (/.f64 1 N))))>
#<alt (.f64 (pow.f64 N 3) (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (.f64 1/2 (/.f64 1 N))))>
#<alt (pow.f64 N 3)>
#<alt (.f64 -1 (.f64 (pow.f64 N 3) (-.f64 (*.f64 1/2 (/.f64 1 N)) 1)))>
#<alt (.f64 -1 (.f64 (pow.f64 N 3) (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/3 (/.f64 1 N)) 1/2) N)) 1)))>
#<alt (.f64 -1 (.f64 (pow.f64 N 3) (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/3 (/.f64 1 N)) 1/2) N)) 1)))>
#<alt (.f64 -1 (.f64 (pow.f64 N 3) (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/3 (/.f64 1 N)) 1/2) N)) 1)))>
#<alt (.f64 -1 (.f64 (pow.f64 N 3) (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/3 (/.f64 1 N)) 1/2) N)) 1)))>
#<alt (*.f64 -1/4 N)>
#<alt (.f64 N (-.f64 (.f64 1/3 N) 1/4))>
#<alt (.f64 N (-.f64 (.f64 N (+.f64 1/3 (*.f64 -1/2 N))) 1/4))>
#<alt (pow.f64 N 4)>
#<alt (.f64 (pow.f64 N 4) (-.f64 1 (.f64 1/2 (/.f64 1 N))))>
#<alt (.f64 (pow.f64 N 4) (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (.f64 1/2 (/.f64 1 N))))>
#<alt (.f64 (pow.f64 N 4) (-.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))))))>
#<alt (.f64 (pow.f64 N 4) (-.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))))))>
#<alt (.f64 (pow.f64 N 4) (-.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))))))>
#<alt (pow.f64 N 4)>
#<alt (.f64 (pow.f64 N 4) (-.f64 1 (.f64 1/2 (/.f64 1 N))))>
#<alt (.f64 (pow.f64 N 4) (+.f64 1 (.f64 -1 (/.f64 (-.f64 1/2 (*.f64 1/3 (/.f64 1 N))) N))))>
#<alt (.f64 (pow.f64 N 4) (+.f64 1 (.f64 -1 (/.f64 (+.f64 1/2 (.f64 -1 (/.f64 (-.f64 1/3 (.f64 1/4 (/.f64 1 N))) N))) N))))>
#<alt (.f64 (pow.f64 N 4) (+.f64 1 (.f64 -1 (/.f64 (+.f64 1/2 (.f64 -1 (/.f64 (-.f64 1/3 (.f64 1/4 (/.f64 1 N))) N))) N))))>
#<alt (.f64 (pow.f64 N 4) (+.f64 1 (.f64 -1 (/.f64 (+.f64 1/2 (.f64 -1 (/.f64 (-.f64 1/3 (.f64 1/4 (/.f64 1 N))) N))) N))))>
#<alt 1/3>
#<alt (+.f64 1/3 (*.f64 -1/2 N))>
#<alt (pow.f64 N 2)>
#<alt (.f64 (pow.f64 N 2) (-.f64 1 (.f64 1/2 (/.f64 1 N))))>
#<alt (.f64 (pow.f64 N 2) (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (.f64 1/2 (/.f64 1 N))))>
#<alt (.f64 (pow.f64 N 2) (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (.f64 1/2 (/.f64 1 N))))>
#<alt (.f64 (pow.f64 N 2) (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (.f64 1/2 (/.f64 1 N))))>
#<alt (.f64 (pow.f64 N 2) (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (.f64 1/2 (/.f64 1 N))))>
#<alt (pow.f64 N 2)>
#<alt (.f64 (pow.f64 N 2) (-.f64 1 (.f64 1/2 (/.f64 1 N))))>
#<alt (.f64 (pow.f64 N 2) (+.f64 1 (.f64 -1 (/.f64 (-.f64 1/2 (*.f64 1/3 (/.f64 1 N))) N))))>
#<alt (.f64 (pow.f64 N 2) (+.f64 1 (.f64 -1 (/.f64 (-.f64 1/2 (*.f64 1/3 (/.f64 1 N))) N))))>
#<alt (.f64 (pow.f64 N 2) (+.f64 1 (.f64 -1 (/.f64 (-.f64 1/2 (*.f64 1/3 (/.f64 1 N))) N))))>
#<alt (.f64 (pow.f64 N 2) (+.f64 1 (.f64 -1 (/.f64 (-.f64 1/2 (*.f64 1/3 (/.f64 1 N))) 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 (-.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 (-.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 (/.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 -1/2 N)>
#<alt 1>
#<alt (-.f64 1 (*.f64 1/2 (/.f64 1 N)))>
#<alt (-.f64 1 (*.f64 1/2 (/.f64 1 N)))>
#<alt (-.f64 1 (*.f64 1/2 (/.f64 1 N)))>
#<alt (-.f64 1 (*.f64 1/2 (/.f64 1 N)))>
#<alt (-.f64 1 (*.f64 1/2 (/.f64 1 N)))>
#<alt 1>
#<alt (-.f64 1 (*.f64 1/2 (/.f64 1 N)))>
#<alt (-.f64 1 (*.f64 1/2 (/.f64 1 N)))>
#<alt (-.f64 1 (*.f64 1/2 (/.f64 1 N)))>
#<alt (-.f64 1 (*.f64 1/2 (/.f64 1 N)))>
#<alt (-.f64 1 (*.f64 1/2 (/.f64 1 N)))>
#<alt (/.f64 -1/2 N)>
#<alt (/.f64 (-.f64 N 1/2) N)>
#<alt (/.f64 (-.f64 N 1/2) N)>
#<alt (/.f64 (-.f64 N 1/2) N)>
#<alt (/.f64 (-.f64 N 1/2) N)>
#<alt (/.f64 (-.f64 N 1/2) N)>
#<alt 1>
#<alt (-.f64 1 (*.f64 1/2 (/.f64 1 N)))>
#<alt (-.f64 1 (*.f64 1/2 (/.f64 1 N)))>
#<alt (-.f64 1 (*.f64 1/2 (/.f64 1 N)))>
#<alt (-.f64 1 (*.f64 1/2 (/.f64 1 N)))>
#<alt (-.f64 1 (*.f64 1/2 (/.f64 1 N)))>
#<alt 1>
#<alt (-.f64 1 (*.f64 1/2 (/.f64 1 N)))>
#<alt (-.f64 1 (*.f64 1/2 (/.f64 1 N)))>
#<alt (-.f64 1 (*.f64 1/2 (/.f64 1 N)))>
#<alt (-.f64 1 (*.f64 1/2 (/.f64 1 N)))>
#<alt (-.f64 1 (*.f64 1/2 (/.f64 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 (-.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 (-.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 (/.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 -1/4 (pow.f64 N 2))>
#<alt (/.f64 (-.f64 (*.f64 1/3 N) 1/4) (pow.f64 N 2))>
#<alt (/.f64 (-.f64 (*.f64 1/3 N) 1/4) (pow.f64 N 2))>
#<alt (/.f64 (-.f64 (*.f64 1/3 N) 1/4) (pow.f64 N 2))>
#<alt (/.f64 (-.f64 (*.f64 1/3 N) 1/4) (pow.f64 N 2))>
#<alt (/.f64 (-.f64 (*.f64 1/3 N) 1/4) (pow.f64 N 2))>
#<alt (/.f64 1/3 N)>
#<alt (/.f64 (-.f64 1/3 (*.f64 1/4 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 1/3 (*.f64 1/4 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 1/3 (*.f64 1/4 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 1/3 (*.f64 1/4 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 1/3 (*.f64 1/4 (/.f64 1 N))) N)>
#<alt (/.f64 1/3 N)>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 1/4 (/.f64 1 N)) 1/3) N))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 1/4 (/.f64 1 N)) 1/3) N))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 1/4 (/.f64 1 N)) 1/3) N))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 1/4 (/.f64 1 N)) 1/3) N))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 1/4 (/.f64 1 N)) 1/3) N))>
#<alt (/.f64 -1/4 N)>
#<alt (/.f64 (-.f64 (*.f64 1/3 N) 1/4) N)>
#<alt (/.f64 (-.f64 (*.f64 1/3 N) 1/4) N)>
#<alt (/.f64 (-.f64 (*.f64 1/3 N) 1/4) N)>
#<alt (/.f64 (-.f64 (*.f64 1/3 N) 1/4) N)>
#<alt (/.f64 (-.f64 (*.f64 1/3 N) 1/4) N)>
#<alt 1/3>
#<alt (-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))>
#<alt (-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))>
#<alt (-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))>
#<alt (-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))>
#<alt (-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))>
#<alt 1/3>
#<alt (-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))>
#<alt (-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))>
#<alt (-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))>
#<alt (-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))>
#<alt (-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))>
#<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 (-.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 (-.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 (/.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 (-.f64 (.f64 N (+.f64 1/3 (.f64 N (-.f64 N 1/2)))) 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 (-.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 (-.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 (/.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 (/.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 (-.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 (-.f64 1 (*.f64 1/2 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 1 (*.f64 1/2 (/.f64 1 N))) N)>
#<alt (*.f64 -1 (/.f64 (pow.f64 (cbrt.f64 -1) 3) N))>
#<alt (.f64 -1 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (cbrt.f64 -1) 3) N)) (pow.f64 (cbrt.f64 -1) 3)) N))>
#<alt (.f64 -1 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (cbrt.f64 -1) 3) N)) (pow.f64 (cbrt.f64 -1) 3)) N))>
#<alt (.f64 -1 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (cbrt.f64 -1) 3) N)) (pow.f64 (cbrt.f64 -1) 3)) N))>
#<alt (.f64 -1 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (cbrt.f64 -1) 3) N)) (pow.f64 (cbrt.f64 -1) 3)) N))>
#<alt (.f64 -1 (/.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (cbrt.f64 -1) 3) N)) (pow.f64 (cbrt.f64 -1) 3)) N))>
#<alt (.f64 (/.f64 1 N) (cbrt.f64 (+.f64 (.f64 -1/2 N) (pow.f64 N 2))))>
#<alt (.f64 (/.f64 1 N) (cbrt.f64 (+.f64 (.f64 -1/2 N) (pow.f64 N 2))))>
#<alt (.f64 (/.f64 1 N) (cbrt.f64 (+.f64 (.f64 -1/2 N) (pow.f64 N 2))))>
#<alt (.f64 (/.f64 1 N) (cbrt.f64 (+.f64 (.f64 -1/2 N) (pow.f64 N 2))))>
#<alt (.f64 (/.f64 1 N) (cbrt.f64 (+.f64 (.f64 -1/2 N) (pow.f64 N 2))))>
#<alt (.f64 (/.f64 1 N) (cbrt.f64 (+.f64 (.f64 -1/2 N) (pow.f64 N 2))))>
#<alt (cbrt.f64 (-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))>
#<alt (cbrt.f64 (-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))>
#<alt (cbrt.f64 (-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))>
#<alt (cbrt.f64 (-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))>
#<alt (cbrt.f64 (-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))>
#<alt (cbrt.f64 (-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))>
#<alt (.f64 (cbrt.f64 -1) (cbrt.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))))>
#<alt (.f64 (cbrt.f64 -1) (cbrt.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))))>
#<alt (.f64 (cbrt.f64 -1) (cbrt.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))))>
#<alt (.f64 (cbrt.f64 -1) (cbrt.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))))>
#<alt (.f64 (cbrt.f64 -1) (cbrt.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))))>
#<alt (.f64 (cbrt.f64 -1) (cbrt.f64 (-.f64 (.f64 1/2 (/.f64 1 (pow.f64 N 2))) (/.f64 1 N))))>

Calls

42 calls:

Time	Variable		Point	Expression
11.0ms	N	@	-inf	(cbrt (/ (- 1 (/ 1/2 N)) N))
8.0ms	N	@	inf	(/ (/ (- N 1/2) N) N)
6.0ms	N	@	-inf	(pow (cbrt (/ (- 1 (/ 1/2 N)) N)) 3)
6.0ms	N	@	0	(cbrt (/ (- 1 (/ 1/2 N)) N))
6.0ms	N	@	inf	(cbrt (/ (- 1 (/ 1/2 N)) N))

rewrite161.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

344×	`log1p-expm1-u`
344×	`expm1-log1p-u`
333×	`add-cube-cbrt`
331×	`add-exp-log`
331×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	463
1	764	434

Stop Event

1×	node limit

Counts

14 → 289

Calls

Call 1

Inputs
(/.f64 (+.f64 1/5 (.f64 N (-.f64 (.f64 N (+.f64 1/3 (*.f64 N (-.f64 N 1/2)))) 1/4))) (pow.f64 N 5))
(.f64 N (+.f64 1/3 (.f64 N (-.f64 N 1/2))))
(.f64 N (-.f64 (.f64 N (+.f64 1/3 (*.f64 N (-.f64 N 1/2)))) 1/4))
(+.f64 1/3 (*.f64 N (-.f64 N 1/2)))
(/.f64 (/.f64 (-.f64 N 1/2) N) N)
(/.f64 (-.f64 N 1/2) N)
(+.f64 (+.f64 2 (/.f64 -1/2 N)) -1)
(/.f64 (+.f64 (+.f64 2 (/.f64 -1/2 N)) -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 (cbrt.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)) 3)
(cbrt.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N))

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 N (fma.f64 N (fma.f64 N (+.f64 N -1/2) 1/3) -1/4) 1/5) (pow.f64 N -5)))) 1)
(*.f64 (fma.f64 N (fma.f64 N (fma.f64 N (+.f64 N -1/2) 1/3) -1/4) 1/5) (pow.f64 N -5))
(.f64 1 (.f64 (fma.f64 N (fma.f64 N (fma.f64 N (+.f64 N -1/2) 1/3) -1/4) 1/5) (pow.f64 N -5)))
(.f64 (cbrt.f64 (/.f64 (pow.f64 (fma.f64 N (fma.f64 N (fma.f64 N (+.f64 N -1/2) 1/3) -1/4) 1/5) 2) (pow.f64 N 10))) (cbrt.f64 (.f64 (fma.f64 N (fma.f64 N (fma.f64 N (+.f64 N -1/2) 1/3) -1/4) 1/5) (pow.f64 N -5))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 N (fma.f64 N (fma.f64 N (+.f64 N -1/2) 1/3) -1/4) 1/5)) (pow.f64 N 5/2)) (/.f64 (sqrt.f64 (fma.f64 N (fma.f64 N (fma.f64 N (+.f64 N -1/2) 1/3) -1/4) 1/5)) (pow.f64 N 5/2)))
(pow.f64 (*.f64 (fma.f64 N (fma.f64 N (fma.f64 N (+.f64 N -1/2) 1/3) -1/4) 1/5) (pow.f64 N -5)) 1)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 N (fma.f64 N (fma.f64 N (+.f64 N -1/2) 1/3) -1/4) 1/5) (pow.f64 N -5))) 3)
(pow.f64 (pow.f64 (*.f64 (fma.f64 N (fma.f64 N (fma.f64 N (+.f64 N -1/2) 1/3) -1/4) 1/5) (pow.f64 N -5)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 N (fma.f64 N (fma.f64 N (+.f64 N -1/2) 1/3) -1/4) 1/5)) (pow.f64 N 5/2)) 2)
(pow.f64 (/.f64 (pow.f64 N 5) (fma.f64 N (fma.f64 N (fma.f64 N (+.f64 N -1/2) 1/3) -1/4) 1/5)) -1)
(sqrt.f64 (/.f64 (pow.f64 (fma.f64 N (fma.f64 N (fma.f64 N (+.f64 N -1/2) 1/3) -1/4) 1/5) 2) (pow.f64 N 10)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 N (fma.f64 N (fma.f64 N (+.f64 N -1/2) 1/3) -1/4) 1/5)) (pow.f64 N -5)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 N (fma.f64 N (fma.f64 N (+.f64 N -1/2) 1/3) -1/4) 1/5) (pow.f64 N -5)))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 N (fma.f64 N (fma.f64 N (+.f64 N -1/2) 1/3) -1/4) 1/5) (pow.f64 N -5)) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 N (fma.f64 N (fma.f64 N (+.f64 N -1/2) 1/3) -1/4) 1/5) 3) (pow.f64 (pow.f64 N 5) 3)))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 N (fma.f64 N (fma.f64 N (+.f64 N -1/2) 1/3) -1/4) 1/5) (pow.f64 N -5))))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 N (fma.f64 N (fma.f64 N (+.f64 N -1/2) 1/3) -1/4) 1/5) (pow.f64 N -5))))
(exp.f64 (log.f64 (*.f64 (fma.f64 N (fma.f64 N (fma.f64 N (+.f64 N -1/2) 1/3) -1/4) 1/5) (pow.f64 N -5))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 N (fma.f64 N (fma.f64 N (+.f64 N -1/2) 1/3) -1/4) 1/5) (pow.f64 N -5))) 1))
(+.f64 (.f64 N 1/3) (.f64 N (*.f64 N (+.f64 N -1/2))))
(+.f64 (.f64 1/3 N) (.f64 (*.f64 N (+.f64 N -1/2)) N))
(-.f64 (exp.f64 (log1p.f64 (*.f64 N (fma.f64 N (+.f64 N -1/2) 1/3)))) 1)
(pow.f64 (*.f64 N (fma.f64 N (+.f64 N -1/2) 1/3)) 1)
(pow.f64 (cbrt.f64 (*.f64 N (fma.f64 N (+.f64 N -1/2) 1/3))) 3)
(pow.f64 (pow.f64 (*.f64 N (fma.f64 N (+.f64 N -1/2) 1/3)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 N (fma.f64 N (+.f64 N -1/2) 1/3))) 2)
(sqrt.f64 (pow.f64 (*.f64 N (fma.f64 N (+.f64 N -1/2) 1/3)) 2))
(log.f64 (pow.f64 (exp.f64 N) (fma.f64 N (+.f64 N -1/2) 1/3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 N (fma.f64 N (+.f64 N -1/2) 1/3)))))
(cbrt.f64 (pow.f64 (*.f64 N (fma.f64 N (+.f64 N -1/2) 1/3)) 3))
(expm1.f64 (log1p.f64 (*.f64 N (fma.f64 N (+.f64 N -1/2) 1/3))))
(log1p.f64 (expm1.f64 (*.f64 N (fma.f64 N (+.f64 N -1/2) 1/3))))
(exp.f64 (log.f64 (*.f64 N (fma.f64 N (+.f64 N -1/2) 1/3))))
(exp.f64 (.f64 (log.f64 (.f64 N (fma.f64 N (+.f64 N -1/2) 1/3))) 1))
(fma.f64 N 1/3 (.f64 N (.f64 N (+.f64 N -1/2))))
(fma.f64 1/3 N (.f64 (.f64 N (+.f64 N -1/2)) N))
(-.f64 (exp.f64 (log1p.f64 (*.f64 N (fma.f64 N (fma.f64 N (+.f64 N -1/2) 1/3) -1/4)))) 1)
(pow.f64 (*.f64 N (fma.f64 N (fma.f64 N (+.f64 N -1/2) 1/3) -1/4)) 1)
(pow.f64 (cbrt.f64 (*.f64 N (fma.f64 N (fma.f64 N (+.f64 N -1/2) 1/3) -1/4))) 3)
(pow.f64 (pow.f64 (*.f64 N (fma.f64 N (fma.f64 N (+.f64 N -1/2) 1/3) -1/4)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 N (fma.f64 N (fma.f64 N (+.f64 N -1/2) 1/3) -1/4))) 2)
(sqrt.f64 (pow.f64 (*.f64 N (fma.f64 N (fma.f64 N (+.f64 N -1/2) 1/3) -1/4)) 2))
(log.f64 (pow.f64 (exp.f64 N) (fma.f64 N (fma.f64 N (+.f64 N -1/2) 1/3) -1/4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 N (fma.f64 N (fma.f64 N (+.f64 N -1/2) 1/3) -1/4)))))
(cbrt.f64 (pow.f64 (*.f64 N (fma.f64 N (fma.f64 N (+.f64 N -1/2) 1/3) -1/4)) 3))
(expm1.f64 (log1p.f64 (*.f64 N (fma.f64 N (fma.f64 N (+.f64 N -1/2) 1/3) -1/4))))
(log1p.f64 (expm1.f64 (*.f64 N (fma.f64 N (fma.f64 N (+.f64 N -1/2) 1/3) -1/4))))
(exp.f64 (log.f64 (*.f64 N (fma.f64 N (fma.f64 N (+.f64 N -1/2) 1/3) -1/4))))
(exp.f64 (.f64 (log.f64 (.f64 N (fma.f64 N (fma.f64 N (+.f64 N -1/2) 1/3) -1/4))) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 N (+.f64 N -1/2) 1/3))) 1)
(*.f64 1 (fma.f64 N (+.f64 N -1/2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N -1/2) 1/3)) 2) (cbrt.f64 (fma.f64 N (+.f64 N -1/2) 1/3)))
(*.f64 (sqrt.f64 (fma.f64 N (+.f64 N -1/2) 1/3)) (sqrt.f64 (fma.f64 N (+.f64 N -1/2) 1/3)))
(/.f64 (+.f64 1/27 (pow.f64 (.f64 N (+.f64 N -1/2)) 3)) (+.f64 1/9 (-.f64 (pow.f64 (.f64 N (+.f64 N -1/2)) 2) (.f64 1/3 (.f64 N (+.f64 N -1/2))))))
(/.f64 (-.f64 1/9 (pow.f64 (.f64 N (+.f64 N -1/2)) 2)) (-.f64 1/3 (.f64 N (+.f64 N -1/2))))
(pow.f64 (fma.f64 N (+.f64 N -1/2) 1/3) 1)
(pow.f64 (cbrt.f64 (fma.f64 N (+.f64 N -1/2) 1/3)) 3)
(pow.f64 (pow.f64 (fma.f64 N (+.f64 N -1/2) 1/3) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 N (+.f64 N -1/2) 1/3)) 2)
(sqrt.f64 (pow.f64 (fma.f64 N (+.f64 N -1/2) 1/3) 2))
(log.f64 (exp.f64 (fma.f64 N (+.f64 N -1/2) 1/3)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 N (+.f64 N -1/2) 1/3))))
(cbrt.f64 (pow.f64 (fma.f64 N (+.f64 N -1/2) 1/3) 3))
(expm1.f64 (log1p.f64 (fma.f64 N (+.f64 N -1/2) 1/3)))
(log1p.f64 (expm1.f64 (fma.f64 N (+.f64 N -1/2) 1/3)))
(exp.f64 (log.f64 (fma.f64 N (+.f64 N -1/2) 1/3)))
(exp.f64 (*.f64 (log.f64 (fma.f64 N (+.f64 N -1/2) 1/3)) 1))
(fma.f64 N (+.f64 N -1/2) 1/3)
(fma.f64 (+.f64 N -1/2) N 1/3)
(fma.f64 1 (*.f64 N (+.f64 N -1/2)) 1/3)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 N (+.f64 N -1/2))) 2) (cbrt.f64 (.f64 N (+.f64 N -1/2))) 1/3)
(fma.f64 (sqrt.f64 (.f64 N (+.f64 N -1/2))) (sqrt.f64 (.f64 N (+.f64 N -1/2))) 1/3)
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 N -1/2) (pow.f64 N 2)))) 1)
(*.f64 (-.f64 1 (/.f64 1/2 N)) (/.f64 1 N))
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(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 (-.f64 1 (/.f64 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 (cbrt.f64 (/.f64 (+.f64 N -1/2) (pow.f64 N 2))))) 1)
(*.f64 1 (cbrt.f64 (/.f64 (+.f64 N -1/2) (pow.f64 N 2))))
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 1/2 N))) (pow.f64 (/.f64 1 N) 1/3))
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 1/2 N))) (cbrt.f64 (/.f64 1 N)))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 N -1/2) (pow.f64 N 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 N -1/2) (pow.f64 N 2)))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 N -1/2) (pow.f64 N 2)))) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N -1/2) (pow.f64 N 2))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 N -1/2) (pow.f64 N 2)))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 N -1/2) (pow.f64 N 2)))))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 N -1/2)) N)) (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 N -1/2)) N)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 (+.f64 N -1/2) (pow.f64 N 2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N -1/2) (pow.f64 N 2))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 N -1/2) (pow.f64 N 2)))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 N -1/2)) N) 1/3) (pow.f64 (/.f64 (sqrt.f64 (+.f64 N -1/2)) N) 1/3))
(/.f64 1 (cbrt.f64 (/.f64 N (-.f64 1 (/.f64 1/2 N)))))
(/.f64 (cbrt.f64 (-.f64 1 (/.f64 1/2 N))) (cbrt.f64 N))
(/.f64 (cbrt.f64 (+.f64 N -1/2)) (pow.f64 (cbrt.f64 N) 2))
(/.f64 (cbrt.f64 (neg.f64 (-.f64 1 (/.f64 1/2 N)))) (cbrt.f64 (neg.f64 N)))
(pow.f64 (/.f64 (+.f64 N -1/2) (pow.f64 N 2)) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 N -1/2) (pow.f64 N 2))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 N -1/2) (pow.f64 N 2)))) 3)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 N -1/2)) N)) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N -1/2) (pow.f64 N 2))) 2))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 (+.f64 N -1/2) (pow.f64 N 2)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (+.f64 N -1/2) (pow.f64 N 2))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (+.f64 N -1/2) (pow.f64 N 2)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (+.f64 N -1/2) (pow.f64 N 2)))))
(exp.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 N -1/2) (pow.f64 N 2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 N -1/2) (pow.f64 N 2))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 N -1/2) (pow.f64 N 2)))) 1))

simplify221.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

688×	`exp-prod`
620×	`fma-neg`
566×	`cube-prod`
516×	`cancel-sign-sub-inv`
502×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	702	16922
1	1472	15645
2	4669	15605

Stop Event

1×	node limit

Counts

523 → 437

Calls

Call 1

Inputs
(/.f64 1/5 (pow.f64 N 5))
(/.f64 (+.f64 1/5 (*.f64 -1/4 N)) (pow.f64 N 5))
(/.f64 (+.f64 1/5 (.f64 N (-.f64 (.f64 1/3 N) 1/4))) (pow.f64 N 5))
(/.f64 (+.f64 1/5 (.f64 N (-.f64 (.f64 N (+.f64 1/3 (*.f64 -1/2 N))) 1/4))) (pow.f64 N 5))
(/.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 (-.f64 (+.f64 1 (+.f64 (/.f64 1/5 (pow.f64 N 4)) (/.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 1/5 (pow.f64 N 4)) (/.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 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (*.f64 1/5 (/.f64 1 N)) 1/4) N)) 1/3) N)) 1/2) N)) 1) N))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (*.f64 1/5 (/.f64 1 N)) 1/4) N)) 1/3) N)) 1/2) N)) 1) N))
(*.f64 1/3 N)
(.f64 N (+.f64 1/3 (.f64 -1/2 N)))
(pow.f64 N 3)
(.f64 (pow.f64 N 3) (-.f64 1 (.f64 1/2 (/.f64 1 N))))
(.f64 (pow.f64 N 3) (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (.f64 1/2 (/.f64 1 N))))
(.f64 (pow.f64 N 3) (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (.f64 1/2 (/.f64 1 N))))
(.f64 (pow.f64 N 3) (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (.f64 1/2 (/.f64 1 N))))
(.f64 (pow.f64 N 3) (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (.f64 1/2 (/.f64 1 N))))
(pow.f64 N 3)
(.f64 -1 (.f64 (pow.f64 N 3) (-.f64 (*.f64 1/2 (/.f64 1 N)) 1)))
(.f64 -1 (.f64 (pow.f64 N 3) (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/3 (/.f64 1 N)) 1/2) N)) 1)))
(.f64 -1 (.f64 (pow.f64 N 3) (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/3 (/.f64 1 N)) 1/2) N)) 1)))
(.f64 -1 (.f64 (pow.f64 N 3) (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/3 (/.f64 1 N)) 1/2) N)) 1)))
(.f64 -1 (.f64 (pow.f64 N 3) (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/3 (/.f64 1 N)) 1/2) N)) 1)))
(*.f64 -1/4 N)
(.f64 N (-.f64 (.f64 1/3 N) 1/4))
(.f64 N (-.f64 (.f64 N (+.f64 1/3 (*.f64 -1/2 N))) 1/4))
(pow.f64 N 4)
(.f64 (pow.f64 N 4) (-.f64 1 (.f64 1/2 (/.f64 1 N))))
(.f64 (pow.f64 N 4) (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (.f64 1/2 (/.f64 1 N))))
(.f64 (pow.f64 N 4) (-.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))))))
(.f64 (pow.f64 N 4) (-.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))))))
(.f64 (pow.f64 N 4) (-.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))))))
(pow.f64 N 4)
(.f64 (pow.f64 N 4) (-.f64 1 (.f64 1/2 (/.f64 1 N))))
(.f64 (pow.f64 N 4) (+.f64 1 (.f64 -1 (/.f64 (-.f64 1/2 (*.f64 1/3 (/.f64 1 N))) N))))
(.f64 (pow.f64 N 4) (+.f64 1 (.f64 -1 (/.f64 (+.f64 1/2 (.f64 -1 (/.f64 (-.f64 1/3 (.f64 1/4 (/.f64 1 N))) N))) N))))
(.f64 (pow.f64 N 4) (+.f64 1 (.f64 -1 (/.f64 (+.f64 1/2 (.f64 -1 (/.f64 (-.f64 1/3 (.f64 1/4 (/.f64 1 N))) N))) N))))
(.f64 (pow.f64 N 4) (+.f64 1 (.f64 -1 (/.f64 (+.f64 1/2 (.f64 -1 (/.f64 (-.f64 1/3 (.f64 1/4 (/.f64 1 N))) N))) N))))
1/3
(+.f64 1/3 (*.f64 -1/2 N))
(pow.f64 N 2)
(.f64 (pow.f64 N 2) (-.f64 1 (.f64 1/2 (/.f64 1 N))))
(.f64 (pow.f64 N 2) (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (.f64 1/2 (/.f64 1 N))))
(.f64 (pow.f64 N 2) (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (.f64 1/2 (/.f64 1 N))))
(.f64 (pow.f64 N 2) (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (.f64 1/2 (/.f64 1 N))))
(.f64 (pow.f64 N 2) (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (.f64 1/2 (/.f64 1 N))))
(pow.f64 N 2)
(.f64 (pow.f64 N 2) (-.f64 1 (.f64 1/2 (/.f64 1 N))))
(.f64 (pow.f64 N 2) (+.f64 1 (.f64 -1 (/.f64 (-.f64 1/2 (*.f64 1/3 (/.f64 1 N))) N))))
(.f64 (pow.f64 N 2) (+.f64 1 (.f64 -1 (/.f64 (-.f64 1/2 (*.f64 1/3 (/.f64 1 N))) N))))
(.f64 (pow.f64 N 2) (+.f64 1 (.f64 -1 (/.f64 (-.f64 1/2 (*.f64 1/3 (/.f64 1 N))) N))))
(.f64 (pow.f64 N 2) (+.f64 1 (.f64 -1 (/.f64 (-.f64 1/2 (*.f64 1/3 (/.f64 1 N))) 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 (-.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 (-.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 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 N)) 1) N))
(.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 N)) 1) N))
(/.f64 -1/2 N)
1
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
1
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(/.f64 -1/2 N)
(/.f64 (-.f64 N 1/2) N)
(/.f64 (-.f64 N 1/2) N)
(/.f64 (-.f64 N 1/2) N)
(/.f64 (-.f64 N 1/2) N)
(/.f64 (-.f64 N 1/2) N)
1
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
1
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(-.f64 1 (*.f64 1/2 (/.f64 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 (-.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 (-.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 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 N)) 1) N))
(.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 N)) 1) N))
(/.f64 -1/4 (pow.f64 N 2))
(/.f64 (-.f64 (*.f64 1/3 N) 1/4) (pow.f64 N 2))
(/.f64 (-.f64 (*.f64 1/3 N) 1/4) (pow.f64 N 2))
(/.f64 (-.f64 (*.f64 1/3 N) 1/4) (pow.f64 N 2))
(/.f64 (-.f64 (*.f64 1/3 N) 1/4) (pow.f64 N 2))
(/.f64 (-.f64 (*.f64 1/3 N) 1/4) (pow.f64 N 2))
(/.f64 1/3 N)
(/.f64 (-.f64 1/3 (*.f64 1/4 (/.f64 1 N))) N)
(/.f64 (-.f64 1/3 (*.f64 1/4 (/.f64 1 N))) N)
(/.f64 (-.f64 1/3 (*.f64 1/4 (/.f64 1 N))) N)
(/.f64 (-.f64 1/3 (*.f64 1/4 (/.f64 1 N))) N)
(/.f64 (-.f64 1/3 (*.f64 1/4 (/.f64 1 N))) N)
(/.f64 1/3 N)
(.f64 -1 (/.f64 (-.f64 (.f64 1/4 (/.f64 1 N)) 1/3) N))
(.f64 -1 (/.f64 (-.f64 (.f64 1/4 (/.f64 1 N)) 1/3) N))
(.f64 -1 (/.f64 (-.f64 (.f64 1/4 (/.f64 1 N)) 1/3) N))
(.f64 -1 (/.f64 (-.f64 (.f64 1/4 (/.f64 1 N)) 1/3) N))
(.f64 -1 (/.f64 (-.f64 (.f64 1/4 (/.f64 1 N)) 1/3) N))
(/.f64 -1/4 N)
(/.f64 (-.f64 (*.f64 1/3 N) 1/4) N)
(/.f64 (-.f64 (*.f64 1/3 N) 1/4) N)
(/.f64 (-.f64 (*.f64 1/3 N) 1/4) N)
(/.f64 (-.f64 (*.f64 1/3 N) 1/4) N)
(/.f64 (-.f64 (*.f64 1/3 N) 1/4) N)
1/3
(-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))
(-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))
(-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))
(-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))
(-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))
1/3
(-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))
(-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))
(-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))
(-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))
(-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))
(/.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 (-.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 (-.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 (/.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 (-.f64 (.f64 N (+.f64 1/3 (.f64 N (-.f64 N 1/2)))) 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 (-.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 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 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/4 (/.f64 1 N)) 1/3) N)) 1/2) N)) 1) N))
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(*.f64 (+.f64 2 (+.f64 (/.f64 1/2 N) -1)) (/.f64 1 N))
(*.f64 1 (/.f64 (+.f64 2 (+.f64 (/.f64 1/2 N) -1)) N))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (+.f64 (/.f64 1/2 N) -1)) N)) 2) (cbrt.f64 (/.f64 (+.f64 2 (+.f64 (/.f64 1/2 N) -1)) N)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 2 (+.f64 (/.f64 1/2 N) -1)) N)) (sqrt.f64 (/.f64 (+.f64 2 (+.f64 (/.f64 1/2 N) -1)) N)))
(pow.f64 (/.f64 (+.f64 2 (+.f64 (/.f64 1/2 N) -1)) N) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 2 (+.f64 (/.f64 1/2 N) -1)) N)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 2 (+.f64 (/.f64 1/2 N) -1)) N) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 2 (+.f64 (/.f64 1/2 N) -1)) N)) 2)
(pow.f64 (/.f64 N (+.f64 2 (+.f64 (/.f64 1/2 N) -1))) -1)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 2 (+.f64 (/.f64 1/2 N) -1)) N) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 2 (+.f64 (/.f64 1/2 N) -1)) N)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 2 (+.f64 (/.f64 1/2 N) -1)) N))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 2 (+.f64 (/.f64 1/2 N) -1)) N) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 2 (+.f64 (/.f64 1/2 N) -1)) 3) (pow.f64 N 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 2 (+.f64 (/.f64 1/2 N) -1)) N)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 2 (+.f64 (/.f64 1/2 N) -1)) N)))
(exp.f64 (log.f64 (/.f64 (+.f64 2 (+.f64 (/.f64 1/2 N) -1)) N)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 2 (+.f64 (/.f64 1/2 N) -1)) N)) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N))) 1)
(*.f64 (+.f64 1/3 (/.f64 -1/4 N)) (/.f64 1 N))
(*.f64 1 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) 2) (cbrt.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) (sqrt.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)))
(pow.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) 2)
(pow.f64 (/.f64 N (+.f64 1/3 (/.f64 -1/4 N))) -1)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)))
(exp.f64 (log.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1/3 (/.f64 -1/4 N)))) 1)
(*.f64 1 (+.f64 1/3 (/.f64 -1/4 N)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/3 (/.f64 -1/4 N))) 2) (cbrt.f64 (+.f64 1/3 (/.f64 -1/4 N))))
(*.f64 (sqrt.f64 (+.f64 1/3 (/.f64 -1/4 N))) (sqrt.f64 (+.f64 1/3 (/.f64 -1/4 N))))
(/.f64 (+.f64 1/27 (/.f64 -1/64 (pow.f64 N 3))) (+.f64 1/9 (-.f64 (/.f64 1/16 (pow.f64 N 2)) (*.f64 1/3 (/.f64 -1/4 N)))))
(/.f64 (-.f64 1/9 (/.f64 1/16 (pow.f64 N 2))) (-.f64 1/3 (/.f64 -1/4 N)))
(pow.f64 (+.f64 1/3 (/.f64 -1/4 N)) 1)
(pow.f64 (cbrt.f64 (+.f64 1/3 (/.f64 -1/4 N))) 3)
(pow.f64 (pow.f64 (+.f64 1/3 (/.f64 -1/4 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1/3 (/.f64 -1/4 N))) 2)
(sqrt.f64 (pow.f64 (+.f64 1/3 (/.f64 -1/4 N)) 2))
(log.f64 (exp.f64 (+.f64 1/3 (/.f64 -1/4 N))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1/3 (/.f64 -1/4 N)))))
(cbrt.f64 (pow.f64 (+.f64 1/3 (/.f64 -1/4 N)) 3))
(expm1.f64 (log1p.f64 (+.f64 1/3 (/.f64 -1/4 N))))
(log1p.f64 (expm1.f64 (+.f64 1/3 (/.f64 -1/4 N))))
(exp.f64 (log.f64 (+.f64 1/3 (/.f64 -1/4 N))))
(exp.f64 (*.f64 (log.f64 (+.f64 1/3 (/.f64 -1/4 N))) 1))
(fma.f64 -1/4 (/.f64 1 N) 1/3)
(fma.f64 1 (/.f64 -1/4 N) 1/3)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -1/4 N)) 2) (cbrt.f64 (/.f64 -1/4 N)) 1/3)
(fma.f64 (sqrt.f64 (/.f64 -1/4 N)) (sqrt.f64 (/.f64 -1/4 N)) 1/3)
(-.f64 (+.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N) 1) 1)
(*.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) (/.f64 1 N))
(*.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) 2) (cbrt.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) (sqrt.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)))
(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)
(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 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N) 1) N))) 1)
(*.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N) 1) N))
(*.f64 (+.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N) 1) (/.f64 1 N))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N) 1) N)) 2) (cbrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N) 1) N)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N) 1) N)) (sqrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N) 1) N)))
(pow.f64 (/.f64 (+.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N) 1) N) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N) 1) N)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N) 1) N) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N) 1) N)) 2)
(pow.f64 (/.f64 N (+.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N) 1)) -1)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N) 1) N) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N) 1) N)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N) 1) N))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N) 1) N) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N) 1) 3) (pow.f64 N 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N) 1) N)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N) 1) 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 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 N -1/2) (pow.f64 N 2)))) 1)
(*.f64 (-.f64 1 (/.f64 1/2 N)) (/.f64 1 N))
(*.f64 1 (/.f64 (+.f64 N -1/2) (pow.f64 N 2)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 N -1/2) (pow.f64 N 2))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 N -1/2) (pow.f64 N 2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N -1/2) (pow.f64 N 2))) 2) (cbrt.f64 (/.f64 (+.f64 N -1/2) (pow.f64 N 2))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 N -1/2)) N) (/.f64 (sqrt.f64 (+.f64 N -1/2)) N))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 N -1/2) (pow.f64 N 2)))) 2) 3) (cbrt.f64 (/.f64 (+.f64 N -1/2) (pow.f64 N 2))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 N -1/2)) N)) 3) (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 N -1/2)) N)) 3))
(/.f64 (+.f64 N -1/2) (pow.f64 N 2))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 1 (/.f64 N (-.f64 1 (/.f64 1/2 N))))
(/.f64 1 (*.f64 (/.f64 N (+.f64 N -1/2)) N))
(/.f64 (neg.f64 (-.f64 1 (/.f64 1/2 N))) (neg.f64 N))
(/.f64 (-.f64 N (*.f64 N (/.f64 1/2 N))) (pow.f64 N 2))
(/.f64 (*.f64 (+.f64 N -1/2) 1) (pow.f64 N 2))
(/.f64 (.f64 (neg.f64 (+.f64 N -1/2)) 1) (.f64 (neg.f64 N) N))
(/.f64 (.f64 (-.f64 1 (/.f64 -1/8 (pow.f64 N 3))) 1) (.f64 (+.f64 1 (+.f64 (/.f64 1/4 (pow.f64 N 2)) (/.f64 1/2 N))) N))
(/.f64 (.f64 (-.f64 1 (/.f64 1/4 (pow.f64 N 2))) 1) (.f64 (+.f64 1 (/.f64 1/2 N)) N))
(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 (-.f64 1 (/.f64 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 (cbrt.f64 (/.f64 (+.f64 N -1/2) (pow.f64 N 2))))) 1)
(*.f64 1 (cbrt.f64 (/.f64 (+.f64 N -1/2) (pow.f64 N 2))))
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 1/2 N))) (pow.f64 (/.f64 1 N) 1/3))
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 1/2 N))) (cbrt.f64 (/.f64 1 N)))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 N -1/2) (pow.f64 N 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 N -1/2) (pow.f64 N 2)))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 N -1/2) (pow.f64 N 2)))) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N -1/2) (pow.f64 N 2))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 N -1/2) (pow.f64 N 2)))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 N -1/2) (pow.f64 N 2)))))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 N -1/2)) N)) (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 N -1/2)) N)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 (+.f64 N -1/2) (pow.f64 N 2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N -1/2) (pow.f64 N 2))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 N -1/2) (pow.f64 N 2)))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 N -1/2)) N) 1/3) (pow.f64 (/.f64 (sqrt.f64 (+.f64 N -1/2)) N) 1/3))
(/.f64 1 (cbrt.f64 (/.f64 N (-.f64 1 (/.f64 1/2 N)))))
(/.f64 (cbrt.f64 (-.f64 1 (/.f64 1/2 N))) (cbrt.f64 N))
(/.f64 (cbrt.f64 (+.f64 N -1/2)) (pow.f64 (cbrt.f64 N) 2))
(/.f64 (cbrt.f64 (neg.f64 (-.f64 1 (/.f64 1/2 N)))) (cbrt.f64 (neg.f64 N)))
(pow.f64 (/.f64 (+.f64 N -1/2) (pow.f64 N 2)) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 N -1/2) (pow.f64 N 2))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 N -1/2) (pow.f64 N 2)))) 3)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 N -1/2)) N)) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N -1/2) (pow.f64 N 2))) 2))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 (+.f64 N -1/2) (pow.f64 N 2)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (+.f64 N -1/2) (pow.f64 N 2))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (+.f64 N -1/2) (pow.f64 N 2)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (+.f64 N -1/2) (pow.f64 N 2)))))
(exp.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 N -1/2) (pow.f64 N 2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 N -1/2) (pow.f64 N 2))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 N -1/2) (pow.f64 N 2)))) 1))

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

eval272.0ms (3.1%)

Compiler: Compiled 8786 to 6896 computations (21.5% saved)

prune242.0ms (2.7%)

Pruning

24 alts after pruning (12 fresh and 12 done)

	Pruned	Kept	Total
New	530	6	536
Fresh	3	6	9
Picked	1	4	5
Done	0	8	8
Total	534	24	558

Accuracy

100.0%

Counts

558 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.2%	(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
	97.1%	(pow.f64 (sqrt.f64 (/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (-.f64 1/3 (/.f64 (+.f64 1/4 (/.f64 -1/5 N)) N)) N)) N)) (neg.f64 N))) 2)
	81.6%	(pow.f64 (cbrt.f64 (/.f64 1 N)) 3)
✓	91.8%	(/.f64 (/.f64 (-.f64 N 1/2) N) N)
✓	91.8%	(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
✓	98.2%	(/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (-.f64 -1/3 (/.f64 (-.f64 -1/4 (/.f64 (+.f64 (/.f64 1/6 N) -1/5) N)) N)) N)) N)) (neg.f64 N))
✓	97.7%	(/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (-.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N)) (neg.f64 N))
✓	91.7%	(/.f64 (+.f64 (+.f64 2 (/.f64 -1/2 N)) -1) N)
✓	96.8%	(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)
✓	95.2%	(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
	94.8%	(/.f64 (+.f64 1/3 (*.f64 N (-.f64 N 1/2))) (pow.f64 N 3))
✓	97.1%	(/.f64 (+.f64 1/5 (.f64 N (-.f64 (.f64 N (+.f64 1/3 (*.f64 N (-.f64 N 1/2)))) 1/4))) (pow.f64 N 5))
✓	95.1%	(/.f64 (+.f64 -1 (+.f64 2 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))) N)
	91.6%	(/.f64 (.f64 (neg.f64 (+.f64 N -1/2)) 1) (.f64 (neg.f64 N) N))
	91.8%	(/.f64 1 (/.f64 N (-.f64 1 (/.f64 1/2 N))))
	95.3%	(/.f64 1 (/.f64 N (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))))
	91.7%	(/.f64 1 (*.f64 (/.f64 N (+.f64 N -1/2)) N))
✓	83.0%	(/.f64 1 N)
	91.8%	(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
	91.3%	(*.f64 (pow.f64 N -1/2) (/.f64 (-.f64 1 (/.f64 1/2 N)) (sqrt.f64 N)))
	96.8%	(*.f64 (+.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N) 1) (/.f64 1 N))
	95.2%	(*.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)) (/.f64 1 N))
✓	99.8%	(log1p.f64 (/.f64 1 N))
✓	28.1%	(log.f64 (/.f64 (+.f64 N 1) N))

Compiler

Compiled 762 to 572 computations (24.9% saved)

regimes83.0ms (0.9%)

Counts

38 → 1

Calls

Call 1

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

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

Calls

2 calls:

76.0ms	N
5.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Results

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

Compiler

Compiled 10 to 7 computations (30% saved)

regimes19.0ms (0.2%)

Counts

19 → 1

Calls

Call 1

Inputs
(/.f64 1 N)
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (/.f64 (-.f64 N 1/2) N) N)
(*.f64 (-.f64 1 (/.f64 1/2 N)) (/.f64 1 N))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(/.f64 1 (*.f64 (/.f64 N (+.f64 N -1/2)) N))
(/.f64 1 (/.f64 N (+.f64 1 (/.f64 -1/2 N))))
(/.f64 1 (/.f64 N (-.f64 1 (/.f64 1/2 N))))
(/.f64 (+.f64 (+.f64 2 (/.f64 -1/2 N)) -1) N)
(/.f64 (.f64 (neg.f64 (+.f64 N -1/2)) 1) (.f64 (neg.f64 N) N))
(/.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 1 (/.f64 N (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))))
(/.f64 (+.f64 -1 (+.f64 2 (/.f64 (+.f64 -1/2 (/.f64 1/3 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 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N) 1) (/.f64 1 N))
(/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (-.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N)) (neg.f64 N))
(/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (-.f64 -1/3 (/.f64 (-.f64 -1/4 (/.f64 (+.f64 (/.f64 1/6 N) -1/5) N)) N)) N)) N)) (neg.f64 N))

Outputs
(/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (-.f64 -1/3 (/.f64 (-.f64 -1/4 (/.f64 (+.f64 (/.f64 1/6 N) -1/5) N)) N)) N)) N)) (neg.f64 N))

Calls

1 calls:

17.0ms

Results

Accuracy	Segments	Branch
98.2%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes10.0ms (0.1%)

Counts

18 → 1

Calls

Call 1

Inputs
(/.f64 1 N)
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (/.f64 (-.f64 N 1/2) N) N)
(*.f64 (-.f64 1 (/.f64 1/2 N)) (/.f64 1 N))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
(/.f64 1 (*.f64 (/.f64 N (+.f64 N -1/2)) N))
(/.f64 1 (/.f64 N (+.f64 1 (/.f64 -1/2 N))))
(/.f64 1 (/.f64 N (-.f64 1 (/.f64 1/2 N))))
(/.f64 (+.f64 (+.f64 2 (/.f64 -1/2 N)) -1) N)
(/.f64 (.f64 (neg.f64 (+.f64 N -1/2)) 1) (.f64 (neg.f64 N) N))
(/.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 1 (/.f64 N (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))))
(/.f64 (+.f64 -1 (+.f64 2 (/.f64 (+.f64 -1/2 (/.f64 1/3 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 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N) 1) (/.f64 1 N))
(/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (-.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N)) (neg.f64 N))

Outputs
(/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (-.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N)) (neg.f64 N))

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
97.7%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes11.0ms (0.1%)

Counts

17 → 1

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
96.8%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes9.0ms (0.1%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
95.3%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0.1%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
95.2%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
91.8%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
91.8%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
91.8%	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:

3.0ms

Results

Accuracy	Segments	Branch
83.0%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify62.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

430×	`unsub-neg`
418×	`distribute-lft-neg-in`
324×	`distribute-neg-in`
270×	`neg-mul-1`
236×	`neg-sub0`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	63	412
1	100	412
2	160	412
3	233	404
4	393	404
5	590	404
6	798	404
7	1013	404
8	1258	404
9	1517	404
10	1649	404
11	1706	404
12	1715	404

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(log1p.f64 (/.f64 1 N))
(/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (-.f64 -1/3 (/.f64 (-.f64 -1/4 (/.f64 (+.f64 (/.f64 1/6 N) -1/5) N)) N)) N)) N)) (neg.f64 N))
(/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (-.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N)) (neg.f64 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 -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 1 (/.f64 -1/2 N))))
(/.f64 (/.f64 (-.f64 N 1/2) N) N)
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 1 N)

Outputs
(log1p.f64 (/.f64 1 N))
(/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (-.f64 -1/3 (/.f64 (-.f64 -1/4 (/.f64 (+.f64 (/.f64 1/6 N) -1/5) N)) N)) N)) N)) (neg.f64 N))
(/.f64 (-.f64 (/.f64 (+.f64 -1/2 (/.f64 (-.f64 (/.f64 (-.f64 -1/4 (/.f64 (+.f64 (/.f64 1/6 N) -1/5) N)) N) -1/3) N)) N) -1) N)
(/.f64 (+.f64 (/.f64 (+.f64 -1/2 (/.f64 (-.f64 (/.f64 (-.f64 -1/4 (/.f64 (+.f64 (/.f64 1/6 N) -1/5) N)) N) -1/3) N)) N) 1) N)
(/.f64 (-.f64 -1 (/.f64 (-.f64 -1/2 (/.f64 (-.f64 -1/3 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N)) N)) N)) (neg.f64 N))
(/.f64 (-.f64 (/.f64 (+.f64 -1/2 (/.f64 (-.f64 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N) -1/3) N)) N) -1) N)
(/.f64 (+.f64 (/.f64 (+.f64 -1/2 (/.f64 (-.f64 (/.f64 (+.f64 -1/4 (/.f64 1/5 N)) N) -1/3) N)) N) 1) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)
(/.f64 (+.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N) 1) N)
(/.f64 1 (/.f64 N (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) 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 (+.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N) 1) N)
(/.f64 1 (/.f64 N (+.f64 1 (/.f64 -1/2 N))))
(/.f64 -1 (/.f64 N (-.f64 -1 (/.f64 -1/2 N))))
(/.f64 (/.f64 (-.f64 N 1/2) N) N)
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 1 N)

Compiler

Compiled 121 to 91 computations (24.8% saved)

soundness1.5s (16.5%)

Rules

1780×	`fma-neg`
1116×	`fma-neg`
998×	`unpow-prod-down`
892×	`fma-define`
882×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	535	14820
1	1281	14026
2	3868	13726
0	13	58
1	181	58
2	1758	58
0	1227	26446
1	3168	24599
0	41	355
1	728	355
0	821	19199
1	1841	17953
2	5900	17781
0	33	317
1	569	311

Stop Event

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

Compiler

Compiled 548 to 426 computations (22.3% saved)

end2.0ms (0%)

preprocess151.0ms (1.7%)

Compiler: Compiled 250 to 184 computations (26.4% 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 (17.5%)

preprocess190.0ms (2.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize75.0ms (0.8%)

series16.0ms (0.2%)

rewrite350.0ms (4%)

simplify189.0ms (2.1%)

eval149.0ms (1.7%)

prune53.0ms (0.6%)

localize317.0ms (3.6%)

series35.0ms (0.4%)

rewrite400.0ms (4.5%)

simplify250.0ms (2.8%)

eval239.0ms (2.7%)

prune251.0ms (2.8%)

localize583.0ms (6.6%)

series43.0ms (0.5%)

rewrite135.0ms (1.5%)

simplify230.0ms (2.6%)

eval447.0ms (5.1%)

prune169.0ms (1.9%)

localize383.0ms (4.3%)

series69.0ms (0.8%)

rewrite161.0ms (1.8%)

simplify221.0ms (2.5%)

eval272.0ms (3.1%)

prune242.0ms (2.7%)

regimes83.0ms (0.9%)

regimes19.0ms (0.2%)

regimes10.0ms (0.1%)

regimes11.0ms (0.1%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

simplify62.0ms (0.7%)

soundness1.5s (16.5%)

end2.0ms (0%)

preprocess151.0ms (1.7%)

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