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

sample1.7s (16.9%)

Results

1.6s	8255×	256	valid
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 888.0ms

Operation ival-log, time spent: 488.0ms, 55.0% of total-time

Operation ival-sub, time spent: 210.0ms, 24.0% of total-time

Operation ival-add, time spent: 68.0ms, 8.0% of total-time

Operation ival->, time spent: 54.0ms, 6.0% of total-time

Operation ival-<, time spent: 38.0ms, 4.0% of total-time

Operation const, time spent: 18.0ms, 2.0% of total-time

Operation ival-and, time spent: 11.0ms, 1.0% of total-time

Bogosity

preprocess189.0ms (1.9%)

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	Example	Subexpression
247	-	-	`(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))`
0	-	-	`1`
0	-	-	`(log.f64 N)`
0	-	-	`(log.f64 (+.f64 N 1))`
0	-	-	`(+.f64 N 1)`
0	-	-	`N`

Iterations

Useful iterations: 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)))

Compiler

Compiled 48 to 32 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

Operation ival-log, time spent: 31.0ms, 70.0% 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: 2.0ms, 5.0% 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
▶	22.8%	(-.f64 (log1p.f64 N) (log.f64 N))

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize39.0ms (0.4%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(log1p.f64 N)
✓	22.8%	(-.f64 (log1p.f64 N) (log.f64 N))

Compiler

Compiled 12 to 5 computations (58.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

Operation ival-log, time spent: 14.0ms, 56.0% of total-time

Operation composed, time spent: 8.0ms, 32.0% of total-time

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

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

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

series4.0ms (0%)

Counts

2 → 24

Calls

Call 1

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

Calls

6 calls:

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

rewrite203.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

788×	`prod-diff`
724×	`unpow-prod-down`
446×	`log1p-expm1-u`
446×	`expm1-log1p-u`
420×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
1	92	29
2	1201	29

Stop Event

1×	node limit

Counts

2 → 128

Calls

Call 1

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

simplify137.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

948×	`div-sub`
692×	`distribute-lft-in`
618×	`fma-neg`
594×	`distribute-rgt-in`
556×	`associate-+l+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	350	5046
1	786	4788
2	2157	4729
3	6964	4723

Stop Event

1×	node limit

Counts

152 → 219

Calls

Call 1

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

eval59.0ms (0.6%)

Compiler: Compiled 3109 to 1418 computations (54.4% saved)

prune48.0ms (0.5%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	200	19	219
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	200	20	220

Accuracy

99.5%

Counts

220 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.2%	(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
▶	22.8%	(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
	22.8%	(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
	22.8%	(/.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)))
	95.1%	(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (/.f64 1/2 N)) N)
	92.3%	(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
▶	96.4%	(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) (neg.f64 N))
	22.8%	(/.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))))))
	95.1%	(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
▶	85.1%	(/.f64 1 N)
✓	22.8%	(-.f64 (log1p.f64 N) (log.f64 N))
	23.7%	(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
	22.8%	(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2) 3) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
▶	22.1%	(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
	22.8%	(*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 5/2)) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
	22.8%	(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 8)))
	24.3%	(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
▶	25.5%	(log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1))
	25.5%	(log.f64 (/.f64 (+.f64 N 1) N))
	22.8%	(exp.f64 (.f64 (.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1/3))

Compiler

Compiled 530 to 354 computations (33.2% saved)

localize344.0ms (3.4%)

Localize:

Found 15 expressions with local error:

New	Accuracy	Program
✓	99.9%	(sqrt.f64 (log.f64 N))
✓	99.8%	(sqrt.f64 (log1p.f64 N))
✓	99.4%	(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
✓	22.1%	(-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))
	100.0%	(log1p.f64 N)
✓	99.8%	(sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
✓	99.1%	(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
	22.8%	(-.f64 (log1p.f64 N) (log.f64 N))
✓	100.0%	(/.f64 (+.f64 N 1) N)
✓	99.8%	(log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1))
✓	25.3%	(-.f64 (/.f64 (+.f64 N 1) N) 1)
✓	99.9%	(/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)
✓	99.9%	(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) (neg.f64 N))
✓	99.9%	(+.f64 1/3 (/.f64 -1/4 N))
✓	99.5%	(/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)

Compiler

Compiled 168 to 86 computations (48.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 223.0ms

Operation ival-div, time spent: 88.0ms, 39.0% of total-time

Operation ival-sub, time spent: 54.0ms, 24.0% of total-time

Operation ival-add, time spent: 28.0ms, 13.0% of total-time

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

Operation ival-log, time spent: 17.0ms, 8.0% of total-time

Operation ival-sqrt, time spent: 5.0ms, 2.0% of total-time

Operation const, time spent: 5.0ms, 2.0% of total-time

Operation ival-pow, time spent: 5.0ms, 2.0% of total-time

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

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

series97.0ms (0.9%)

Counts

13 → 152

Calls

Call 1

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

Outputs
#<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 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 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 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 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 -1/4 (pow.f64 N 4))>
#<alt (/.f64 (-.f64 (*.f64 1/3 N) 1/4) (pow.f64 N 4))>
#<alt (/.f64 (-.f64 (.f64 N (+.f64 1/3 (.f64 -1/2 N))) 1/4) (pow.f64 N 4))>
#<alt (/.f64 (-.f64 (.f64 N (+.f64 1/3 (.f64 N (-.f64 N 1/2)))) 1/4) (pow.f64 N 4))>
#<alt (/.f64 1 N)>
#<alt (/.f64 (-.f64 1 (*.f64 1/2 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (+.f64 (.f64 1/2 (/.f64 1 N)) (.f64 1/4 (/.f64 1 (pow.f64 N 3))))) N)>
#<alt (/.f64 1 N)>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 N)) 1) N))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)) 1) N))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/4 (/.f64 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (/.f64 -1/4 (pow.f64 N 3))>
#<alt (/.f64 (-.f64 (*.f64 1/3 N) 1/4) (pow.f64 N 3))>
#<alt (/.f64 (-.f64 (.f64 N (+.f64 1/3 (.f64 -1/2 N))) 1/4) (pow.f64 N 3))>
#<alt (/.f64 (-.f64 (.f64 N (+.f64 1/3 (.f64 -1/2 N))) 1/4) (pow.f64 N 3))>
#<alt (/.f64 -1/2 N)>
#<alt (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)>
#<alt (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) (+.f64 1/2 (/.f64 1/4 (pow.f64 N 2)))) N)>
#<alt (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) (+.f64 1/2 (/.f64 1/4 (pow.f64 N 2)))) N)>
#<alt (/.f64 -1/2 N)>
#<alt (.f64 -1 (/.f64 (-.f64 1/2 (.f64 1/3 (/.f64 1 N))) N))>
#<alt (.f64 -1 (/.f64 (+.f64 1/2 (.f64 -1 (/.f64 (-.f64 1/3 (*.f64 1/4 (/.f64 1 N))) N))) N))>
#<alt (.f64 -1 (/.f64 (+.f64 1/2 (.f64 -1 (/.f64 (-.f64 1/3 (*.f64 1/4 (/.f64 1 N))) N))) N))>
#<alt (/.f64 1 N)>
#<alt (/.f64 1 N)>
#<alt (/.f64 1 N)>
#<alt (/.f64 1 N)>
#<alt (/.f64 1 N)>
#<alt (/.f64 1 N)>
#<alt (/.f64 1 N)>
#<alt (/.f64 1 N)>
#<alt (/.f64 1 N)>
#<alt (/.f64 1 N)>
#<alt (/.f64 1 N)>
#<alt (/.f64 1 N)>
#<alt (*.f64 -1 (log.f64 N))>
#<alt (+.f64 N (*.f64 -1 (log.f64 N)))>
#<alt (+.f64 (.f64 -1 (log.f64 N)) (.f64 N (+.f64 1 (*.f64 -1/2 N))))>
#<alt (+.f64 (.f64 -1 (log.f64 N)) (.f64 N (+.f64 1 (.f64 N (-.f64 (.f64 1/3 N) 1/2)))))>
#<alt (/.f64 1 N)>
#<alt (/.f64 (-.f64 1 (*.f64 1/2 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (+.f64 (.f64 1/2 (/.f64 1 N)) (.f64 1/4 (/.f64 1 (pow.f64 N 3))))) N)>
#<alt (/.f64 1 N)>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 N)) 1) N))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)) 1) N))>
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#<alt (sqrt.f64 N)>
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#<alt (+.f64 (sqrt.f64 N) (.f64 (pow.f64 N 2) (+.f64 (.f64 -1/4 (sqrt.f64 (/.f64 1 N))) (.f64 N (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 N) (+.f64 1/4 (.f64 1/16 (/.f64 1 N))))) (*.f64 1/6 (sqrt.f64 (/.f64 1 N))))))))>
#<alt (*.f64 (sqrt.f64 (log.f64 (/.f64 1 N))) (sqrt.f64 -1))>
#<alt (+.f64 (.f64 1/2 (.f64 (/.f64 1 (.f64 N (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 N)))))) (.f64 (sqrt.f64 (log.f64 (/.f64 1 N))) (sqrt.f64 -1)))>
#<alt (+.f64 (.f64 -1/2 (.f64 (/.f64 (+.f64 1/2 (.f64 1/4 (/.f64 1 (.f64 (log.f64 (/.f64 1 N)) (pow.f64 (sqrt.f64 -1) 2))))) (.f64 (pow.f64 N 2) (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 N)))))) (+.f64 (.f64 1/2 (.f64 (/.f64 1 (.f64 N (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 N)))))) (*.f64 (sqrt.f64 (log.f64 (/.f64 1 N))) (sqrt.f64 -1))))>
#<alt (+.f64 (.f64 -1/2 (.f64 (/.f64 (+.f64 1/2 (.f64 1/4 (/.f64 1 (.f64 (log.f64 (/.f64 1 N)) (pow.f64 (sqrt.f64 -1) 2))))) (.f64 (pow.f64 N 2) (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 N)))))) (+.f64 (.f64 1/2 (.f64 (/.f64 1 (.f64 N (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 N)))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (-.f64 1/3 (.f64 -1/2 (/.f64 (+.f64 1/2 (.f64 1/4 (/.f64 1 (.f64 (log.f64 (/.f64 1 N)) (pow.f64 (sqrt.f64 -1) 2))))) (.f64 (log.f64 (/.f64 1 N)) (pow.f64 (sqrt.f64 -1) 2))))) (.f64 (pow.f64 N 3) (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 N)))))) (.f64 (sqrt.f64 (log.f64 (/.f64 1 N))) (sqrt.f64 -1)))))>
#<alt (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))>
#<alt (+.f64 (sqrt.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (.f64 1/2 (.f64 (/.f64 1 N) (sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))))))>
#<alt (+.f64 (sqrt.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (.f64 -1 (/.f64 (+.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))) (.f64 1/2 (.f64 (/.f64 (+.f64 1/2 (.f64 1/4 (/.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))) N) (sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N))))))))) N)))>
#<alt (+.f64 (sqrt.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))) (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/2 (.f64 (+.f64 1/2 (.f64 1/4 (/.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))) (sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))))) (.f64 1/2 (.f64 (/.f64 (+.f64 1/3 (.f64 1/2 (/.f64 (+.f64 1/2 (.f64 1/4 (/.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))) N) (sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N))))))))) N)) (.f64 -1/2 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))))) N)))>
#<alt (*.f64 (sqrt.f64 (log.f64 (/.f64 1 N))) (sqrt.f64 -1))>
#<alt (*.f64 (sqrt.f64 (log.f64 (/.f64 1 N))) (sqrt.f64 -1))>
#<alt (*.f64 (sqrt.f64 (log.f64 (/.f64 1 N))) (sqrt.f64 -1))>
#<alt (*.f64 (sqrt.f64 (log.f64 (/.f64 1 N))) (sqrt.f64 -1))>
#<alt (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))>
#<alt (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))>
#<alt (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))>
#<alt (sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 N)))))>

Calls

39 calls:

Time	Variable		Point	Expression
28.0ms	N	@	0	(sqrt (log N))
17.0ms	N	@	-inf	(sqrt (log N))
9.0ms	N	@	inf	(sqrt (log N))
6.0ms	N	@	-inf	(- (sqrt (log (+ 1 N))) (sqrt (log N)))
2.0ms	N	@	inf	(- (sqrt (log (+ 1 N))) (sqrt (log N)))

rewrite324.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

334×	`associate-r`
259×	`log1p-expm1-u`
259×	`expm1-log1p-u`
248×	`add-exp-log`
248×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	349
1	583	321

Stop Event

1×	node limit

Counts

13 → 557

Calls

Call 1

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

Outputs
(-.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 (cbrt.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) 2))
(*.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 (pow.f64 (cbrt.f64 (+.f64 1/3 (/.f64 -1/4 N))) 2) (.f64 (cbrt.f64 (+.f64 1/3 (/.f64 -1/4 N))) (/.f64 -1 N)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) (sqrt.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)))
(.f64 (sqrt.f64 (+.f64 1/3 (/.f64 -1/4 N))) (.f64 (sqrt.f64 (+.f64 1/3 (/.f64 -1/4 N))) (/.f64 -1 N)))
(*.f64 (+.f64 (/.f64 -1/4 N) -1/3) (/.f64 -1 N))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) (cbrt.f64 N)))
(*.f64 (/.f64 1 (sqrt.f64 N)) (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) (sqrt.f64 N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/3 (/.f64 -1/4 N))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1/3 (/.f64 -1/4 N))) N))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/3 (/.f64 -1/4 N))) 2) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/3 (/.f64 -1/4 N))) 2) (sqrt.f64 N)) (/.f64 (cbrt.f64 (+.f64 1/3 (/.f64 -1/4 N))) (sqrt.f64 N)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1/3 (/.f64 -1/4 N))) 1) (/.f64 (sqrt.f64 (+.f64 1/3 (/.f64 -1/4 N))) N))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1/3 (/.f64 -1/4 N))) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (sqrt.f64 (+.f64 1/3 (/.f64 -1/4 N))) (cbrt.f64 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)
(neg.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N))
(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 1/3 (/.f64 -1/4 N))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1/3 (/.f64 -1/4 N)))) 1)
(-.f64 (/.f64 1/9 (+.f64 1/3 (/.f64 -1/4 N))) (/.f64 (/.f64 1/16 (pow.f64 N 2)) (+.f64 1/3 (/.f64 -1/4 N))))
(*.f64 1 (+.f64 1/3 (/.f64 -1/4 N)))
(*.f64 (cbrt.f64 (+.f64 1/3 (/.f64 -1/4 N))) (pow.f64 (cbrt.f64 (+.f64 1/3 (/.f64 -1/4 N))) 2))
(*.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 (+.f64 1/9 (-.f64 (/.f64 1/16 (pow.f64 N 2)) (/.f64 -1/12 N)))))
(*.f64 (+.f64 1/9 (/.f64 1/16 (pow.f64 N 2))) (/.f64 1 (+.f64 1/3 (/.f64 -1/4 N))))
(/.f64 1 (/.f64 (+.f64 1/9 (-.f64 (/.f64 1/16 (pow.f64 N 2)) (/.f64 -1/12 N))) (+.f64 1/27 (/.f64 -1/64 (pow.f64 N 3)))))
(/.f64 1 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) (+.f64 1/9 (/.f64 1/16 (pow.f64 N 2)))))
(/.f64 (+.f64 1/27 (/.f64 -1/64 (pow.f64 N 3))) (+.f64 1/9 (-.f64 (/.f64 1/16 (pow.f64 N 2)) (/.f64 -1/12 N))))
(/.f64 (+.f64 1/9 (/.f64 1/16 (pow.f64 N 2))) (+.f64 1/3 (/.f64 -1/4 N)))
(/.f64 (neg.f64 (+.f64 1/27 (/.f64 -1/64 (pow.f64 N 3)))) (neg.f64 (+.f64 1/9 (-.f64 (/.f64 1/16 (pow.f64 N 2)) (/.f64 -1/12 N)))))
(/.f64 (neg.f64 (+.f64 1/9 (/.f64 1/16 (pow.f64 N 2)))) (+.f64 (/.f64 -1/4 N) -1/3))
(/.f64 (+.f64 (/.f64 -1/64 (pow.f64 N 3)) 1/27) (+.f64 (/.f64 1/16 (pow.f64 N 2)) (-.f64 1/9 (*.f64 (/.f64 -1/4 N) 1/3))))
(/.f64 (-.f64 1/27 (/.f64 -1/64 (pow.f64 N 3))) (+.f64 1/9 (+.f64 (/.f64 1/16 (pow.f64 N 2)) (/.f64 -1/12 N))))
(/.f64 (-.f64 (/.f64 1/16 (pow.f64 N 2)) 1/9) (-.f64 (/.f64 -1/4 N) 1/3))
(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 (/.f64 1/2 (sqrt.f64 N)) (/.f64 1/2 (sqrt.f64 N)) 1/3)
(+.f64 (/.f64 -1 N) (/.f64 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N) N))
(-.f64 0 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N)) N))
(-.f64 (/.f64 -1 N) (/.f64 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N) N))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N)) N))) 1)
(*.f64 -1 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N)) N))
(*.f64 (+.f64 -1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N)) (/.f64 -1 N))
(*.f64 1 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N)) N))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N)) N)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N)) N)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N)) N)) 2) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N)) N)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N))) 2) (.f64 (cbrt.f64 (+.f64 -1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N))) (/.f64 -1 N)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N)) N)) (sqrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N)) N)))
(.f64 (sqrt.f64 (+.f64 -1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N))) (.f64 (sqrt.f64 (+.f64 -1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N))) (/.f64 -1 N)))
(*.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N)) (/.f64 -1 N))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (+.f64 -1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N)) (cbrt.f64 N)))
(*.f64 (/.f64 1 (sqrt.f64 N)) (/.f64 (+.f64 -1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N)) (sqrt.f64 N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N))) 2) -1) (/.f64 (cbrt.f64 (+.f64 -1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N))) N))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N))) 2) 1) (/.f64 (cbrt.f64 (+.f64 -1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N))) N))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N))) -1) (/.f64 (sqrt.f64 (+.f64 -1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N))) N))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N))) 1) (/.f64 (sqrt.f64 (+.f64 -1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N))) N))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N))) 2) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N)) N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N))) 2) (sqrt.f64 N)) (/.f64 (cbrt.f64 (+.f64 -1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N))) (sqrt.f64 N)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N))) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (sqrt.f64 (+.f64 -1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N))) (cbrt.f64 N)))
(pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N)) N) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N)) N)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N)) N) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N)) N)) 2)
(pow.f64 (/.f64 N (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N))) -1)
(neg.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N)) N))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N)) N) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N)) N)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N)) N))))
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(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 2))
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))))
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) (pow.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 3)))
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))) 1))
(fma.f64 1 (sqrt.f64 (log1p.f64 N)) (neg.f64 (sqrt.f64 (log.f64 N))))
(fma.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (sqrt.f64 (log1p.f64 N))) (neg.f64 (sqrt.f64 (log.f64 N))))
(fma.f64 (pow.f64 (log1p.f64 N) 1/4) (pow.f64 (log1p.f64 N) 1/4) (neg.f64 (sqrt.f64 (log.f64 N))))
(+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))
(+.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N)) (log.f64 N)))
(+.f64 (-.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 0 (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (fma.f64 1 (log1p.f64 N) (neg.f64 (.f64 (log.f64 N) 1))) (fma.f64 (neg.f64 (log.f64 N)) 1 (.f64 (log.f64 N) 1)))
(+.f64 (fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (.f64 (log.f64 N) 1))) (fma.f64 (neg.f64 (log.f64 N)) 1 (.f64 (log.f64 N) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (.f64 (log.f64 N) 1))) (fma.f64 (neg.f64 (log.f64 N)) 1 (.f64 (log.f64 N) 1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(+.f64 (.f64 (log1p.f64 N) 1) (.f64 (neg.f64 (log.f64 N)) 1))
(+.f64 (.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (sqrt.f64 (log1p.f64 N))) (.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N))))
(+.f64 (.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (sqrt.f64 (log.f64 N))) (.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (sqrt.f64 (log1p.f64 N))))
(+.f64 (.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (sqrt.f64 (log1p.f64 N))) (.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (neg.f64 (sqrt.f64 (log.f64 N)))))
(+.f64 (.f64 (sqrt.f64 (log1p.f64 N)) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))) (.f64 (sqrt.f64 (log.f64 N)) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))
(+.f64 (.f64 (sqrt.f64 (log.f64 N)) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))) (.f64 (sqrt.f64 (log1p.f64 N)) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))
(+.f64 (.f64 (sqrt.f64 (log1p.f64 N)) (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))) (.f64 (neg.f64 (sqrt.f64 (log.f64 N))) (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 0 (log.f64 (/.f64 N (+.f64 N 1))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1)
(-.f64 (log.f64 (+.f64 N -1)) (log.f64 N))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))) (/.f64 (pow.f64 (log.f64 N) 3) (+.f64 (pow.f64 (log1p.f64 N) 2) (.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))) (/.f64 (pow.f64 (log.f64 N) 2) (+.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))) (-.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 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2) (-.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (pow.f64 (log.f64 N) 2)) (+.f64 (log1p.f64 N) (log.f64 N)))
(/.f64 (.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2))) (.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (+.f64 (log1p.f64 N) (+.f64 (log.f64 N) (sqrt.f64 (*.f64 (log1p.f64 N) (log.f64 N)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)) (-.f64 (log1p.f64 N) (log.f64 N))) (-.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)))
(/.f64 (.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2))) (.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (+.f64 (log1p.f64 N) (-.f64 (log.f64 N) (sqrt.f64 (*.f64 (log1p.f64 N) (log.f64 N)))))))
(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)) (+.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2))) (.f64 (+.f64 (log1p.f64 N) (+.f64 (log.f64 N) (sqrt.f64 (.f64 (log1p.f64 N) (log.f64 N))))) (+.f64 (log1p.f64 N) (-.f64 (log.f64 N) (sqrt.f64 (.f64 (log1p.f64 N) (log.f64 N)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)) (-.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)))
(/.f64 (.f64 (+.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)) (-.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2))) (.f64 (+.f64 (log1p.f64 N) (-.f64 (log.f64 N) (sqrt.f64 (.f64 (log1p.f64 N) (log.f64 N))))) (+.f64 (log1p.f64 N) (+.f64 (log.f64 N) (sqrt.f64 (.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 (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N))))))
(/.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 (.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N))) (.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (neg.f64 (log.f64 N)) (neg.f64 (log.f64 N)))) (-.f64 (log1p.f64 N) (neg.f64 (log.f64 N))))
(/.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(/.f64 (*.f64 (-.f64 (log1p.f64 N) (log.f64 N)) (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))) (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(/.f64 (*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (log1p.f64 N) (log.f64 N))) (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(/.f64 (*.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (log1p.f64 N) (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(/.f64 (.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (+.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2))) (+.f64 (log1p.f64 N) (-.f64 (log.f64 N) (sqrt.f64 (.f64 (log1p.f64 N) (log.f64 N))))))
(/.f64 (.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2))) (+.f64 (log1p.f64 N) (+.f64 (log.f64 N) (sqrt.f64 (.f64 (log1p.f64 N) (log.f64 N))))))
(/.f64 (.f64 (-.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)) (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))) (+.f64 (log1p.f64 N) (+.f64 (log.f64 N) (sqrt.f64 (.f64 (log1p.f64 N) (log.f64 N))))))
(/.f64 (.f64 (+.f64 (pow.f64 (log1p.f64 N) 3/2) (pow.f64 (log.f64 N) 3/2)) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N)))) (+.f64 (log1p.f64 N) (-.f64 (log.f64 N) (sqrt.f64 (.f64 (log1p.f64 N) (log.f64 N))))))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
(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)
(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))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 3) (pow.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) 3) (pow.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (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))
(fma.f64 1 (log1p.f64 N) (neg.f64 (log.f64 N)))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) (cbrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log1p.f64 N)))) 1)
(*.f64 1 (sqrt.f64 (log1p.f64 N)))
(*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 N))) (cbrt.f64 (log1p.f64 N)))
(*.f64 (cbrt.f64 (log1p.f64 N)) (cbrt.f64 (sqrt.f64 (log1p.f64 N))))
(*.f64 (pow.f64 (log1p.f64 N) 1/4) (pow.f64 (log1p.f64 N) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (log1p.f64 N)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2) 1/2) (pow.f64 (cbrt.f64 (log1p.f64 N)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 N)) 2)) (sqrt.f64 (cbrt.f64 (log1p.f64 N))))
(pow.f64 (log1p.f64 N) 1/2)
(pow.f64 (sqrt.f64 (log1p.f64 N)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 N))) 3)
(pow.f64 (pow.f64 (log1p.f64 N) 1/4) 2)
(pow.f64 (pow.f64 (log1p.f64 N) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (log1p.f64 N)))
(log.f64 (exp.f64 (sqrt.f64 (log1p.f64 N))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log1p.f64 N)))))
(cbrt.f64 (pow.f64 (log1p.f64 N) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (log1p.f64 N))))
(log1p.f64 (expm1.f64 (sqrt.f64 (log1p.f64 N))))
(exp.f64 (log.f64 (sqrt.f64 (log1p.f64 N))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 N)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 N))) 1))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log.f64 N)))) 1)
(*.f64 1 (sqrt.f64 (log.f64 N)))
(*.f64 (cbrt.f64 (sqrt.f64 (log.f64 N))) (cbrt.f64 (log.f64 N)))
(*.f64 (cbrt.f64 (log.f64 N)) (cbrt.f64 (sqrt.f64 (log.f64 N))))
(*.f64 (pow.f64 (log.f64 N) 1/4) (pow.f64 (log.f64 N) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (log.f64 N)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2) 1/2) (pow.f64 (cbrt.f64 (log.f64 N)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 N)) 2)) (sqrt.f64 (cbrt.f64 (log.f64 N))))
(pow.f64 (log.f64 N) 1/2)
(pow.f64 (sqrt.f64 (log.f64 N)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 N))) 3)
(pow.f64 (pow.f64 (log.f64 N) 1/4) 2)
(pow.f64 (pow.f64 (log.f64 N) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (log.f64 N)))
(log.f64 (exp.f64 (sqrt.f64 (log.f64 N))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log.f64 N)))))
(cbrt.f64 (pow.f64 (log.f64 N) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (log.f64 N))))
(log1p.f64 (expm1.f64 (sqrt.f64 (log.f64 N))))
(exp.f64 (log.f64 (sqrt.f64 (log.f64 N))))
(exp.f64 (*.f64 (log.f64 (log.f64 N)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 N))) 1))

simplify474.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

1300×	`associate-r`
1158×	`fma-define`
834×	`distribute-rgt-in`
816×	`distribute-lft-in`
590×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1269	38075
1	3150	35096

Stop Event

1×	node limit

Counts

709 → 759

Calls

Call 1

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

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

eval657.0ms (6.4%)

Compiler: Compiled 29459 to 16652 computations (43.5% saved)

prune390.0ms (3.8%)

Pruning

32 alts after pruning (29 fresh and 3 done)

	Pruned	Kept	Total
New	1194	20	1214
Fresh	5	9	14
Picked	3	2	5
Done	0	1	1
Total	1202	32	1234

Accuracy

99.7%

Counts

1234 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.2%	(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
	22.8%	(pow.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 1) 2)
	84.6%	(pow.f64 (sqrt.f64 (/.f64 1 N)) 2)
	22.8%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))))
▶	95.1%	(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (/.f64 1/2 N)) N)
	95.9%	(/.f64 (-.f64 (.f64 N (+.f64 1/3 (.f64 N (-.f64 N 1/2)))) 1/4) (pow.f64 N 4))
▶	92.3%	(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
▶	96.4%	(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (/.f64 (+.f64 -1/9 (/.f64 -1/16 (pow.f64 N 2))) (+.f64 (/.f64 -1/4 N) -1/3)) N)) N)) (neg.f64 N))
	22.8%	(/.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))))))
	96.4%	(/.f64 (+.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N) 1) N)
	95.1%	(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
✓	85.1%	(/.f64 1 N)
✓	22.8%	(-.f64 (log1p.f64 N) (log.f64 N))
	23.7%	(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
▶	84.3%	(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N))) 2) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N)) N)))
	92.0%	(*.f64 (/.f64 -1 N) (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)))
✓	22.1%	(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
	22.1%	(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (exp.f64 (log.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))))
	22.1%	(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (cbrt.f64 (pow.f64 (log.f64 N) 3/2))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
	24.3%	(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
	26.0%	(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
	25.5%	(log1p.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1)) 3))
	25.5%	(log1p.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 N 1) N) 3)) (-.f64 (-.f64 -1 (/.f64 (+.f64 N 1) N)) (pow.f64 (/.f64 (+.f64 N 1) N) 2))))
	25.4%	(log1p.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 N 1) N) 2)) (-.f64 -1 (/.f64 (+.f64 N 1) N))))
	25.5%	(log1p.f64 (/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2) (+.f64 1 (/.f64 (+.f64 N 1) N))) (+.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 3) -1))))
	25.4%	(log1p.f64 (/.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 N 1) N) 1) (+.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2) -1))))
	25.3%	(log1p.f64 (-.f64 (+.f64 1 (/.f64 1 N)) 1))
	25.4%	(log1p.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2) -1) (/.f64 1 (+.f64 (/.f64 (+.f64 N 1) N) 1))))
	25.3%	(log1p.f64 (log.f64 (exp.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))))
▶	25.5%	(log1p.f64 (exp.f64 (log.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))))
	25.5%	(log.f64 (/.f64 (+.f64 N 1) N))
	22.8%	(exp.f64 (.f64 (.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1/3))

Compiler

Compiled 992 to 739 computations (25.5% saved)

localize1.0s (9.9%)

Localize:

Found 16 expressions with local error:

New	Accuracy	Program
✓	99.5%	(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N))) 2) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N)) N)))
✓	99.2%	(pow.f64 (cbrt.f64 N) 2)
✓	99.1%	(cbrt.f64 N)
✓	99.0%	(cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N)) N))
	100.0%	(/.f64 (+.f64 N 1) N)
✓	99.8%	(log1p.f64 (exp.f64 (log.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))))
✓	95.1%	(exp.f64 (log.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1)))
✓	25.3%	(+.f64 (/.f64 (+.f64 N 1) N) -1)
✓	99.9%	(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (/.f64 1/2 N)) N)
✓	99.9%	(-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (/.f64 1/2 N))
✓	99.4%	(/.f64 1/3 (pow.f64 N 2))
✓	99.9%	(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
✓	99.7%	(+.f64 (/.f64 -1/4 N) -1/3)
✓	99.7%	(/.f64 (+.f64 -1/9 (/.f64 -1/16 (pow.f64 N 2))) (+.f64 (/.f64 -1/4 N) -1/3))
✓	99.6%	(/.f64 -1/16 (pow.f64 N 2))
✓	99.5%	(/.f64 (/.f64 (+.f64 -1/9 (/.f64 -1/16 (pow.f64 N 2))) (+.f64 (/.f64 -1/4 N) -1/3)) N)

Compiler

Compiled 448 to 345 computations (23% saved)

Precisions

Click to see histograms. Total time spent on operations: 634.0ms

Operation ival-div, time spent: 220.0ms, 35.0% of total-time

Operation ival-add, time spent: 220.0ms, 35.0% of total-time

Operation ival-pow, time spent: 104.0ms, 16.0% of total-time

Operation ival-log, time spent: 24.0ms, 4.0% of total-time

Operation const, time spent: 21.0ms, 3.0% of total-time

Operation ival-cbrt, time spent: 13.0ms, 2.0% of total-time

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

Operation ival-sub, time spent: 10.0ms, 2.0% of total-time

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

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

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

series39.0ms (0.4%)

Counts

15 → 148

Calls

Call 1

Inputs
#<alt (/.f64 (/.f64 (+.f64 -1/9 (/.f64 -1/16 (pow.f64 N 2))) (+.f64 (/.f64 -1/4 N) -1/3)) N)>
#<alt (/.f64 -1/16 (pow.f64 N 2))>
#<alt (/.f64 (+.f64 -1/9 (/.f64 -1/16 (pow.f64 N 2))) (+.f64 (/.f64 -1/4 N) -1/3))>
#<alt (+.f64 (/.f64 -1/4 N) -1/3)>
#<alt (/.f64 (-.f64 1 (/.f64 1/2 N)) N)>
#<alt (/.f64 1/3 (pow.f64 N 2))>
#<alt (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (/.f64 1/2 N))>
#<alt (/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (/.f64 1/2 N)) N)>
#<alt (+.f64 (/.f64 (+.f64 N 1) N) -1)>
#<alt (exp.f64 (log.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1)))>
#<alt (log1p.f64 (exp.f64 (log.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))))>
#<alt (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N)) N))>
#<alt (cbrt.f64 N)>
#<alt (pow.f64 (cbrt.f64 N) 2)>
#<alt (*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N))) 2) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N)) N)))>

Outputs
#<alt (/.f64 1/4 (pow.f64 N 2))>
#<alt (/.f64 (+.f64 1/4 (*.f64 -1/3 N)) (pow.f64 N 2))>
#<alt (/.f64 (+.f64 1/4 (.f64 N (-.f64 (.f64 8/9 N) 1/3))) (pow.f64 N 2))>
#<alt (/.f64 (+.f64 1/4 (.f64 N (-.f64 (.f64 N (+.f64 8/9 (*.f64 -32/27 N))) 1/3))) (pow.f64 N 2))>
#<alt (/.f64 1/3 N)>
#<alt (/.f64 (-.f64 1/3 (*.f64 1/4 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 (+.f64 1/3 (/.f64 3/8 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 (+.f64 1/3 (/.f64 3/8 (pow.f64 N 2))) (+.f64 (.f64 1/4 (/.f64 1 N)) (.f64 9/32 (/.f64 1 (pow.f64 N 3))))) 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 (/.f64 (-.f64 (*.f64 3/8 (/.f64 1 N)) 1/4) N)) 1/3) N))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 9/32 (/.f64 1 N)) 3/8) N)) 1/4) N)) 1/3) N))>
#<alt (/.f64 1/4 N)>
#<alt (/.f64 (+.f64 1/4 (*.f64 -1/3 N)) N)>
#<alt (/.f64 (+.f64 1/4 (.f64 N (-.f64 (.f64 8/9 N) 1/3))) N)>
#<alt (/.f64 (+.f64 1/4 (.f64 N (-.f64 (.f64 N (+.f64 8/9 (*.f64 -32/27 N))) 1/3))) N)>
#<alt 1/3>
#<alt (-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))>
#<alt (-.f64 (+.f64 1/3 (/.f64 3/8 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 N)))>
#<alt (-.f64 (+.f64 1/3 (/.f64 3/8 (pow.f64 N 2))) (+.f64 (.f64 1/4 (/.f64 1 N)) (.f64 9/32 (/.f64 1 (pow.f64 N 3)))))>
#<alt 1/3>
#<alt (-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))>
#<alt (+.f64 1/3 (.f64 -1 (/.f64 (-.f64 1/4 (.f64 3/8 (/.f64 1 N))) N)))>
#<alt (+.f64 1/3 (.f64 -1 (/.f64 (+.f64 1/4 (.f64 -1 (/.f64 (-.f64 3/8 (*.f64 9/32 (/.f64 1 N))) N))) 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 -1/3>
#<alt (.f64 -1 (+.f64 1/3 (.f64 1/4 (/.f64 1 N))))>
#<alt (.f64 -1 (+.f64 1/3 (.f64 1/4 (/.f64 1 N))))>
#<alt (.f64 -1 (+.f64 1/3 (.f64 1/4 (/.f64 1 N))))>
#<alt -1/3>
#<alt (.f64 -1 (+.f64 1/3 (.f64 1/4 (/.f64 1 N))))>
#<alt (.f64 -1 (+.f64 1/3 (.f64 1/4 (/.f64 1 N))))>
#<alt (.f64 -1 (+.f64 1/3 (.f64 1/4 (/.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 1 N)>
#<alt (/.f64 (-.f64 1 (*.f64 1/2 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 1 (*.f64 1/2 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 1 (*.f64 1/2 (/.f64 1 N))) N)>
#<alt (/.f64 1 N)>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 N)) 1) N))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 N)) 1) N))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 N)) 1) N))>
#<alt (/.f64 1/3 (pow.f64 N 2))>
#<alt (/.f64 (+.f64 1/3 (*.f64 -1/2 N)) (pow.f64 N 2))>
#<alt (/.f64 (+.f64 1/3 (*.f64 N (-.f64 N 1/2))) (pow.f64 N 2))>
#<alt (/.f64 (+.f64 1/3 (*.f64 N (-.f64 N 1/2))) (pow.f64 N 2))>
#<alt 1>
#<alt (-.f64 1 (*.f64 1/2 (/.f64 1 N)))>
#<alt (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N)))>
#<alt (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N)))>
#<alt 1>
#<alt (-.f64 1 (*.f64 1/2 (/.f64 1 N)))>
#<alt (+.f64 1 (.f64 -1 (/.f64 (-.f64 1/2 (.f64 1/3 (/.f64 1 N))) N)))>
#<alt (+.f64 1 (.f64 -1 (/.f64 (-.f64 1/2 (.f64 1/3 (/.f64 1 N))) N)))>
#<alt (/.f64 1/3 (pow.f64 N 3))>
#<alt (/.f64 (+.f64 1/3 (*.f64 -1/2 N)) (pow.f64 N 3))>
#<alt (/.f64 (+.f64 1/3 (*.f64 N (-.f64 N 1/2))) (pow.f64 N 3))>
#<alt (/.f64 (+.f64 1/3 (*.f64 N (-.f64 N 1/2))) (pow.f64 N 3))>
#<alt (/.f64 1 N)>
#<alt (/.f64 (-.f64 1 (*.f64 1/2 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N))) N)>
#<alt (/.f64 1 N)>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 N)) 1) N))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)) 1) N))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)) 1) N))>
#<alt (/.f64 1 N)>
#<alt (/.f64 1 N)>
#<alt (/.f64 1 N)>
#<alt (/.f64 1 N)>
#<alt (/.f64 1 N)>
#<alt (/.f64 1 N)>
#<alt (/.f64 1 N)>
#<alt (/.f64 1 N)>
#<alt (/.f64 1 N)>
#<alt (/.f64 1 N)>
#<alt (/.f64 1 N)>
#<alt (/.f64 1 N)>
#<alt (/.f64 1 N)>
#<alt (/.f64 1 N)>
#<alt (/.f64 1 N)>
#<alt (/.f64 1 N)>
#<alt (/.f64 1 N)>
#<alt (/.f64 1 N)>
#<alt (/.f64 1 N)>
#<alt (/.f64 1 N)>
#<alt (/.f64 1 N)>
#<alt (/.f64 1 N)>
#<alt (/.f64 1 N)>
#<alt (/.f64 1 N)>
#<alt (*.f64 -1 (log.f64 N))>
#<alt (+.f64 N (*.f64 -1 (log.f64 N)))>
#<alt (+.f64 (.f64 -1 (log.f64 N)) (.f64 N (+.f64 1 (*.f64 -1/2 N))))>
#<alt (+.f64 (.f64 -1 (log.f64 N)) (.f64 N (+.f64 1 (.f64 N (-.f64 (.f64 1/3 N) 1/2)))))>
#<alt (/.f64 1 N)>
#<alt (/.f64 (-.f64 1 (*.f64 1/2 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (+.f64 (.f64 1/2 (/.f64 1 N)) (.f64 1/4 (/.f64 1 (pow.f64 N 3))))) N)>
#<alt (/.f64 1 N)>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 N)) 1) N))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)) 1) N))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/4 (/.f64 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 N 4))) (cbrt.f64 -1/4))>
#<alt (/.f64 (+.f64 (.f64 1/9 (.f64 (cbrt.f64 (pow.f64 N 5)) (/.f64 1 (pow.f64 (cbrt.f64 -1/4) 2)))) (*.f64 (cbrt.f64 (pow.f64 N 2)) (cbrt.f64 -1/4))) (pow.f64 N 2))>
#<alt (/.f64 (+.f64 (.f64 (cbrt.f64 (pow.f64 N 2)) (cbrt.f64 -1/4)) (.f64 (pow.f64 N 3) (+.f64 (.f64 1/9 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 N 4))) (/.f64 1 (pow.f64 (cbrt.f64 -1/4) 2)))) (.f64 1/6 (.f64 (cbrt.f64 (/.f64 1 N)) (/.f64 1 (pow.f64 (cbrt.f64 -1/4) 2))))))) (pow.f64 N 2))>
#<alt (/.f64 (+.f64 (.f64 (cbrt.f64 (pow.f64 N 2)) (cbrt.f64 -1/4)) (.f64 (pow.f64 N 3) (+.f64 (.f64 1/9 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 N 4))) (/.f64 1 (pow.f64 (cbrt.f64 -1/4) 2)))) (.f64 N (+.f64 (.f64 1/6 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 N 4))) (/.f64 1 (pow.f64 (cbrt.f64 -1/4) 2)))) (.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 N)) (/.f64 1 (pow.f64 (cbrt.f64 -1/4) 2))))))))) (pow.f64 N 2))>
#<alt (cbrt.f64 (+.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))>
#<alt (+.f64 (cbrt.f64 (+.f64 (/.f64 1 N) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))) (.f64 1/9 (.f64 (/.f64 1 (pow.f64 N 3)) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 1 N) (.f64 1/2 (/.f64 1 (pow.f64 N 2)))) 2))))))>
#<alt (+.f64 (cbrt.f64 (+.f64 (/.f64 1 N) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))) (+.f64 (.f64 -1/12 (.f64 (/.f64 1 (pow.f64 N 4)) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 1 N) (.f64 1/2 (/.f64 1 (pow.f64 N 2)))) 2))))) (.f64 1/9 (.f64 (/.f64 1 (pow.f64 N 3)) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) 2)))))))>
#<alt (+.f64 (cbrt.f64 (+.f64 (/.f64 1 N) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))) (+.f64 (.f64 -1/12 (.f64 (/.f64 1 (pow.f64 N 4)) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 1 N) (.f64 1/2 (/.f64 1 (pow.f64 N 2)))) 2))))) (+.f64 (.f64 -1/81 (.f64 (/.f64 1 (pow.f64 N 6)) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 1 N) (.f64 1/2 (/.f64 1 (pow.f64 N 2)))) 5))))) (.f64 1/9 (.f64 (/.f64 1 (pow.f64 N 3)) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 1 N) (.f64 1/2 (/.f64 1 (pow.f64 N 2)))) 2))))))))>
#<alt (.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (+.f64 (/.f64 1 N) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))))>
#<alt (+.f64 (.f64 -1/9 (.f64 (/.f64 (cbrt.f64 -1) (pow.f64 N 3)) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 1 N) (.f64 1/2 (/.f64 1 (pow.f64 N 2)))) 2))))) (.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (+.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))))>
#<alt (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/12 (.f64 (/.f64 (cbrt.f64 -1) N) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 1 N) (.f64 1/2 (/.f64 1 (pow.f64 N 2)))) 2))))) (.f64 1/9 (.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 1 N) (.f64 1/2 (/.f64 1 (pow.f64 N 2)))) 2)))))) (pow.f64 N 3))) (.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (+.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))))>
#<alt (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/81 (.f64 (/.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 N 2)) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 1 N) (.f64 1/2 (/.f64 1 (pow.f64 N 2)))) 5))))) (.f64 1/12 (.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 1 N) (.f64 1/2 (/.f64 1 (pow.f64 N 2)))) 2)))))) N)) (.f64 1/9 (.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 1 N) (.f64 1/2 (/.f64 1 (pow.f64 N 2)))) 2)))))) (pow.f64 N 3))) (.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 (+.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))))>
#<alt (.f64 -1 (.f64 (cbrt.f64 N) (cbrt.f64 -1)))>
#<alt (.f64 -1 (.f64 (cbrt.f64 N) (cbrt.f64 -1)))>
#<alt (.f64 -1 (.f64 (cbrt.f64 N) (cbrt.f64 -1)))>
#<alt (.f64 -1 (.f64 (cbrt.f64 N) (cbrt.f64 -1)))>
#<alt (cbrt.f64 (pow.f64 N 2))>
#<alt (cbrt.f64 (pow.f64 N 2))>
#<alt (cbrt.f64 (pow.f64 N 2))>
#<alt (cbrt.f64 (pow.f64 N 2))>
#<alt (cbrt.f64 (pow.f64 N 2))>
#<alt (cbrt.f64 (pow.f64 N 2))>
#<alt (cbrt.f64 (pow.f64 N 2))>
#<alt (cbrt.f64 (pow.f64 N 2))>
#<alt (.f64 -1 (.f64 (cbrt.f64 (pow.f64 N 2)) (pow.f64 (cbrt.f64 -1) 3)))>
#<alt (.f64 -1 (.f64 (cbrt.f64 (pow.f64 N 2)) (pow.f64 (cbrt.f64 -1) 3)))>
#<alt (.f64 -1 (.f64 (cbrt.f64 (pow.f64 N 2)) (pow.f64 (cbrt.f64 -1) 3)))>
#<alt (.f64 -1 (.f64 (cbrt.f64 (pow.f64 N 2)) (pow.f64 (cbrt.f64 -1) 3)))>
#<alt (/.f64 (cbrt.f64 -1/64) (pow.f64 N 4))>
#<alt (/.f64 (+.f64 (cbrt.f64 -1/64) (.f64 1/48 (.f64 N (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/64) 2)))))) (pow.f64 N 4))>
#<alt (/.f64 (+.f64 (cbrt.f64 -1/64) (.f64 N (+.f64 (.f64 1/48 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/64) 2)))) (.f64 1/3 (/.f64 (.f64 N (-.f64 1/96 (*.f64 1/768 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/64)))))) (pow.f64 (cbrt.f64 -1/64) 2)))))) (pow.f64 N 4))>
#<alt (/.f64 (+.f64 (cbrt.f64 -1/64) (.f64 N (+.f64 (.f64 1/48 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/64) 2)))) (.f64 N (+.f64 (.f64 -1/3 (/.f64 (.f64 N (+.f64 119/432 (+.f64 (.f64 1/110592 (/.f64 1 (pow.f64 (cbrt.f64 -1/64) 2))) (.f64 1/24 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1/64) 5))) (-.f64 1/96 (.f64 1/768 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/64)))))))))) (pow.f64 (cbrt.f64 -1/64) 2))) (.f64 1/3 (/.f64 (-.f64 1/96 (*.f64 1/768 (cbrt.f64 (/.f64 1 (cbrt.f64 -1/64))))) (pow.f64 (cbrt.f64 -1/64) 2)))))))) (pow.f64 N 4))>
#<alt (/.f64 1 N)>
#<alt (/.f64 (-.f64 1 (*.f64 1/6 (/.f64 1 N))) N)>
#<alt (/.f64 (+.f64 1 (.f64 -1 (/.f64 (+.f64 1/6 (.f64 2/9 (/.f64 1 N))) N))) N)>
#<alt (/.f64 (-.f64 (+.f64 1 (.f64 -1 (/.f64 (+.f64 2/9 (.f64 19/324 (/.f64 1 N))) (pow.f64 N 2)))) (*.f64 1/6 (/.f64 1 N))) N)>
#<alt (/.f64 -1 (*.f64 N (cbrt.f64 -1)))>
#<alt (.f64 -1 (/.f64 (-.f64 (/.f64 1 (cbrt.f64 -1)) (.f64 1/6 (/.f64 1 (*.f64 N (cbrt.f64 -1))))) N))>
#<alt (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/6 (/.f64 1 (cbrt.f64 -1))) (.f64 2/9 (/.f64 1 (*.f64 N (cbrt.f64 -1))))) N)) (/.f64 1 (cbrt.f64 -1))) N))>
#<alt (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 19/324 (.f64 (pow.f64 N 2) (cbrt.f64 -1))) (+.f64 (/.f64 2/9 (.f64 N (cbrt.f64 -1))) (*.f64 1/6 (/.f64 1 (cbrt.f64 -1))))) N)) (/.f64 1 (cbrt.f64 -1))) N))>

Calls

45 calls:

Time	Variable		Point	Expression
3.0ms	N	@	-inf	(cbrt (/ (+ 1 (/ (+ (/ (+ 1/3 (/ -1/4 N)) N) 1/2) N)) N))
3.0ms	N	@	inf	(cbrt N)
2.0ms	N	@	-inf	(cbrt N)
2.0ms	N	@	0	(/ (- (+ 1 (/ 1/3 (pow N 2))) (/ 1/2 N)) N)
2.0ms	N	@	0	(cbrt N)

rewrite143.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

403×	`log1p-expm1-u`
403×	`expm1-log1p-u`
397×	`add-cube-cbrt`
395×	`pow1`
392×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	49	550
1	885	530

Stop Event

1×	node limit

Counts

15 → 291

Calls

Call 1

Inputs
(/.f64 (/.f64 (+.f64 -1/9 (/.f64 -1/16 (pow.f64 N 2))) (+.f64 (/.f64 -1/4 N) -1/3)) N)
(/.f64 -1/16 (pow.f64 N 2))
(/.f64 (+.f64 -1/9 (/.f64 -1/16 (pow.f64 N 2))) (+.f64 (/.f64 -1/4 N) -1/3))
(+.f64 (/.f64 -1/4 N) -1/3)
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 1/3 (pow.f64 N 2))
(-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (/.f64 1/2 N))
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (/.f64 1/2 N)) N)
(+.f64 (/.f64 (+.f64 N 1) N) -1)
(exp.f64 (log.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1)))
(log1p.f64 (exp.f64 (log.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))))
(cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N)) N))
(cbrt.f64 N)
(pow.f64 (cbrt.f64 N) 2)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N))) 2) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N)) N)))

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 -1/16 (pow.f64 N -2) -1/9) (*.f64 N (+.f64 (/.f64 -1/4 N) -1/3))))) 1)
(*.f64 (/.f64 (fma.f64 -1/16 (pow.f64 N -2) -1/9) (+.f64 (/.f64 -1/4 N) -1/3)) (/.f64 1 N))
(.f64 1 (/.f64 (fma.f64 -1/16 (pow.f64 N -2) -1/9) (.f64 N (+.f64 (/.f64 -1/4 N) -1/3))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/16 (pow.f64 N -2) -1/9) (.f64 N (+.f64 (/.f64 -1/4 N) -1/3)))) 2) (cbrt.f64 (/.f64 (fma.f64 -1/16 (pow.f64 N -2) -1/9) (*.f64 N (+.f64 (/.f64 -1/4 N) -1/3)))))
(.f64 (sqrt.f64 (/.f64 (fma.f64 -1/16 (pow.f64 N -2) -1/9) (.f64 N (+.f64 (/.f64 -1/4 N) -1/3)))) (sqrt.f64 (/.f64 (fma.f64 -1/16 (pow.f64 N -2) -1/9) (*.f64 N (+.f64 (/.f64 -1/4 N) -1/3)))))
(pow.f64 (/.f64 (fma.f64 -1/16 (pow.f64 N -2) -1/9) (*.f64 N (+.f64 (/.f64 -1/4 N) -1/3))) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/16 (pow.f64 N -2) -1/9) (*.f64 N (+.f64 (/.f64 -1/4 N) -1/3)))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 -1/16 (pow.f64 N -2) -1/9) (*.f64 N (+.f64 (/.f64 -1/4 N) -1/3))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 -1/16 (pow.f64 N -2) -1/9) (*.f64 N (+.f64 (/.f64 -1/4 N) -1/3)))) 2)
(pow.f64 (/.f64 N (/.f64 (fma.f64 -1/16 (pow.f64 N -2) -1/9) (+.f64 (/.f64 -1/4 N) -1/3))) -1)
(log.f64 (exp.f64 (/.f64 (fma.f64 -1/16 (pow.f64 N -2) -1/9) (*.f64 N (+.f64 (/.f64 -1/4 N) -1/3)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -1/16 (pow.f64 N -2) -1/9) (*.f64 N (+.f64 (/.f64 -1/4 N) -1/3))))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 -1/16 (pow.f64 N -2) -1/9) (*.f64 N (+.f64 (/.f64 -1/4 N) -1/3))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (fma.f64 -1/16 (pow.f64 N -2) -1/9) (+.f64 (/.f64 -1/4 N) -1/3)) 3) (pow.f64 N 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1/16 (pow.f64 N -2) -1/9) (*.f64 N (+.f64 (/.f64 -1/4 N) -1/3)))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 -1/16 (pow.f64 N -2) -1/9) (*.f64 N (+.f64 (/.f64 -1/4 N) -1/3)))))
(exp.f64 (log.f64 (/.f64 (fma.f64 -1/16 (pow.f64 N -2) -1/9) (*.f64 N (+.f64 (/.f64 -1/4 N) -1/3)))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 -1/16 (pow.f64 N -2) -1/9) (.f64 N (+.f64 (/.f64 -1/4 N) -1/3)))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/16 (pow.f64 N -2)))) 1)
(*.f64 -1/16 (pow.f64 N -2))
(.f64 1 (.f64 -1/16 (pow.f64 N -2)))
(.f64 (pow.f64 (cbrt.f64 (.f64 -1/16 (pow.f64 N -2))) 2) (cbrt.f64 (*.f64 -1/16 (pow.f64 N -2))))
(.f64 (sqrt.f64 (.f64 -1/16 (pow.f64 N -2))) (sqrt.f64 (*.f64 -1/16 (pow.f64 N -2))))
(pow.f64 (*.f64 -1/16 (pow.f64 N -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/16 (pow.f64 N -2))) 3)
(pow.f64 (*.f64 -1/4096 (pow.f64 (pow.f64 N -2) 3)) 1/3)
(pow.f64 (sqrt.f64 (*.f64 -1/16 (pow.f64 N -2))) 2)
(pow.f64 (/.f64 (pow.f64 N 2) -1/16) -1)
(log.f64 (pow.f64 (exp.f64 -1/16) (pow.f64 N -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/16 (pow.f64 N -2)))))
(cbrt.f64 (*.f64 -1/4096 (pow.f64 (pow.f64 N -2) 3)))
(expm1.f64 (log1p.f64 (*.f64 -1/16 (pow.f64 N -2))))
(log1p.f64 (expm1.f64 (*.f64 -1/16 (pow.f64 N -2))))
(exp.f64 (log.f64 (*.f64 -1/16 (pow.f64 N -2))))
(exp.f64 (.f64 (log.f64 (.f64 -1/16 (pow.f64 N -2))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 -1/16 (pow.f64 N -2) -1/9) (+.f64 (/.f64 -1/4 N) -1/3)))) 1)
(*.f64 (fma.f64 -1/16 (pow.f64 N -2) -1/9) (/.f64 1 (+.f64 (/.f64 -1/4 N) -1/3)))
(*.f64 1 (/.f64 (fma.f64 -1/16 (pow.f64 N -2) -1/9) (+.f64 (/.f64 -1/4 N) -1/3)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/16 (pow.f64 N -2) -1/9) (+.f64 (/.f64 -1/4 N) -1/3))) 2) (cbrt.f64 (/.f64 (fma.f64 -1/16 (pow.f64 N -2) -1/9) (+.f64 (/.f64 -1/4 N) -1/3))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 -1/16 (pow.f64 N -2) -1/9) (+.f64 (/.f64 -1/4 N) -1/3))) (sqrt.f64 (/.f64 (fma.f64 -1/16 (pow.f64 N -2) -1/9) (+.f64 (/.f64 -1/4 N) -1/3))))
(pow.f64 (/.f64 (fma.f64 -1/16 (pow.f64 N -2) -1/9) (+.f64 (/.f64 -1/4 N) -1/3)) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 -1/16 (pow.f64 N -2) -1/9) (+.f64 (/.f64 -1/4 N) -1/3))) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 -1/16 (pow.f64 N -2) -1/9) (+.f64 (/.f64 -1/4 N) -1/3)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 -1/16 (pow.f64 N -2) -1/9) (+.f64 (/.f64 -1/4 N) -1/3))) 2)
(pow.f64 (/.f64 (+.f64 (/.f64 -1/4 N) -1/3) (fma.f64 -1/16 (pow.f64 N -2) -1/9)) -1)
(log.f64 (exp.f64 (/.f64 (fma.f64 -1/16 (pow.f64 N -2) -1/9) (+.f64 (/.f64 -1/4 N) -1/3))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 -1/16 (pow.f64 N -2) -1/9) (+.f64 (/.f64 -1/4 N) -1/3)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 -1/16 (pow.f64 N -2) -1/9) (+.f64 (/.f64 -1/4 N) -1/3)) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 -1/16 (pow.f64 N -2) -1/9) 3) (pow.f64 (+.f64 (/.f64 -1/4 N) -1/3) 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 -1/16 (pow.f64 N -2) -1/9) (+.f64 (/.f64 -1/4 N) -1/3))))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 -1/16 (pow.f64 N -2) -1/9) (+.f64 (/.f64 -1/4 N) -1/3))))
(exp.f64 (log.f64 (/.f64 (fma.f64 -1/16 (pow.f64 N -2) -1/9) (+.f64 (/.f64 -1/4 N) -1/3))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 -1/16 (pow.f64 N -2) -1/9) (+.f64 (/.f64 -1/4 N) -1/3))) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 -1/4 N) -1/3))) 1)
(*.f64 1 (+.f64 (/.f64 -1/4 N) -1/3))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1/4 N) -1/3)) 2) (cbrt.f64 (+.f64 (/.f64 -1/4 N) -1/3)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 -1/4 N) -1/3)) (sqrt.f64 (+.f64 (/.f64 -1/4 N) -1/3)))
(/.f64 (+.f64 (pow.f64 (/.f64 -1/4 N) 3) -1/27) (+.f64 (pow.f64 (/.f64 -1/4 N) 2) (-.f64 1/9 (*.f64 (/.f64 -1/4 N) -1/3))))
(/.f64 (-.f64 (pow.f64 (/.f64 -1/4 N) 2) 1/9) (+.f64 (/.f64 -1/4 N) 1/3))
(pow.f64 (+.f64 (/.f64 -1/4 N) -1/3) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 -1/4 N) -1/3)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 -1/4 N) -1/3) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 -1/4 N) -1/3)) 2)
(log.f64 (exp.f64 (+.f64 (/.f64 -1/4 N) -1/3)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -1/4 N) -1/3))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 -1/4 N) -1/3) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 -1/4 N) -1/3)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -1/4 N) -1/3)))
(exp.f64 (log.f64 (+.f64 (/.f64 -1/4 N) -1/3)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 -1/4 N) -1/3)) 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 1 N) (/.f64 (/.f64 1/2 N) N))
(-.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 (sqrt.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) N)) (sqrt.f64 (/.f64 (-.f64 1 (/.f64 1/2 N)) 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)
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(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N) 2)) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N))))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N)) 1/3) (pow.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N))) (cbrt.f64 (sqrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N))))
(/.f64 1 (cbrt.f64 (/.f64 N (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)))))
(/.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N))) (cbrt.f64 N))
(/.f64 (cbrt.f64 (neg.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)))) (cbrt.f64 (neg.f64 N)))
(pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N)) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N))) 3)
(pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N))) 2)
(log.f64 (exp.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N))))
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N))))
(exp.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) (log.f64 N)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N))) 1))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 N))) 1)
(*.f64 1 (cbrt.f64 N))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2) (cbrt.f64 (cbrt.f64 N)))
(*.f64 (sqrt.f64 (cbrt.f64 N)) (sqrt.f64 (cbrt.f64 N)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 N))
(*.f64 (pow.f64 (sqrt.f64 N) 1/3) (pow.f64 (sqrt.f64 N) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 N)) (cbrt.f64 (sqrt.f64 N)))
(pow.f64 N 1/3)
(pow.f64 (cbrt.f64 N) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 N)) 3)
(pow.f64 (sqrt.f64 (cbrt.f64 N)) 2)
(log.f64 (exp.f64 (cbrt.f64 N)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 N))))
(expm1.f64 (log1p.f64 (cbrt.f64 N)))
(log1p.f64 (expm1.f64 (cbrt.f64 N)))
(exp.f64 (log.f64 (cbrt.f64 N)))
(exp.f64 (*.f64 (log.f64 N) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 N)) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 N) 2))) 1)
(*.f64 1 (pow.f64 (cbrt.f64 N) 2))
(*.f64 (cbrt.f64 N) (cbrt.f64 N))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 N) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 N) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 N) 2)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 N 2))) (cbrt.f64 (sqrt.f64 (pow.f64 N 2))))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 N) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 N) 2))))
(cbrt.f64 (pow.f64 N 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 N) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 N) 2)))
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 N))))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 N))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N)) (cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) 2) (pow.f64 N 2)))))) 1)
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) 2) (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N))) (pow.f64 (cbrt.f64 N) 2))
(pow.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N)) (cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) 2) (pow.f64 N 2)))) 1)
(pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N)) (cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) 2) (pow.f64 N 2))))) 3)
(pow.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N)) (cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) 2) (pow.f64 N 2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N)) (cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) 2) (pow.f64 N 2))))) 2)
(log.f64 (pow.f64 (exp.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N))) (cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) 2) (pow.f64 N 2)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N)) (cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) 2) (pow.f64 N 2)))))))
(cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N)) (cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) 2) (pow.f64 N 2)))) 3))
(cbrt.f64 (*.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) 2) (pow.f64 N 2))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) 2) (pow.f64 N 2))) 3) (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N)))
(expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N)) (cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) 2) (pow.f64 N 2))))))
(log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N)) (cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) 2) (pow.f64 N 2))))))
(exp.f64 (log.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N)) (cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) 2) (pow.f64 N 2))))))
(exp.f64 (.f64 (log.f64 (.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N)) (cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) 2) (pow.f64 N 2))))) 1))

simplify233.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

602×	`exp-prod`
538×	`fma-neg`
488×	`fma-define`
486×	`*-commutative`
466×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	896	17594
1	1962	16698
2	5529	16146

Stop Event

1×	node limit

Counts

439 → 522

Calls

Call 1

Inputs
(/.f64 1/4 (pow.f64 N 2))
(/.f64 (+.f64 1/4 (*.f64 -1/3 N)) (pow.f64 N 2))
(/.f64 (+.f64 1/4 (.f64 N (-.f64 (.f64 8/9 N) 1/3))) (pow.f64 N 2))
(/.f64 (+.f64 1/4 (.f64 N (-.f64 (.f64 N (+.f64 8/9 (*.f64 -32/27 N))) 1/3))) (pow.f64 N 2))
(/.f64 1/3 N)
(/.f64 (-.f64 1/3 (*.f64 1/4 (/.f64 1 N))) N)
(/.f64 (-.f64 (+.f64 1/3 (/.f64 3/8 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 N))) N)
(/.f64 (-.f64 (+.f64 1/3 (/.f64 3/8 (pow.f64 N 2))) (+.f64 (.f64 1/4 (/.f64 1 N)) (.f64 9/32 (/.f64 1 (pow.f64 N 3))))) N)
(/.f64 1/3 N)
(.f64 -1 (/.f64 (-.f64 (.f64 1/4 (/.f64 1 N)) 1/3) N))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (*.f64 3/8 (/.f64 1 N)) 1/4) N)) 1/3) N))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 9/32 (/.f64 1 N)) 3/8) N)) 1/4) N)) 1/3) N))
(/.f64 1/4 N)
(/.f64 (+.f64 1/4 (*.f64 -1/3 N)) N)
(/.f64 (+.f64 1/4 (.f64 N (-.f64 (.f64 8/9 N) 1/3))) N)
(/.f64 (+.f64 1/4 (.f64 N (-.f64 (.f64 N (+.f64 8/9 (*.f64 -32/27 N))) 1/3))) N)
1/3
(-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))
(-.f64 (+.f64 1/3 (/.f64 3/8 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 N)))
(-.f64 (+.f64 1/3 (/.f64 3/8 (pow.f64 N 2))) (+.f64 (.f64 1/4 (/.f64 1 N)) (.f64 9/32 (/.f64 1 (pow.f64 N 3)))))
1/3
(-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))
(+.f64 1/3 (.f64 -1 (/.f64 (-.f64 1/4 (.f64 3/8 (/.f64 1 N))) N)))
(+.f64 1/3 (.f64 -1 (/.f64 (+.f64 1/4 (.f64 -1 (/.f64 (-.f64 3/8 (*.f64 9/32 (/.f64 1 N))) N))) 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)
-1/3
(.f64 -1 (+.f64 1/3 (.f64 1/4 (/.f64 1 N))))
(.f64 -1 (+.f64 1/3 (.f64 1/4 (/.f64 1 N))))
(.f64 -1 (+.f64 1/3 (.f64 1/4 (/.f64 1 N))))
-1/3
(.f64 -1 (+.f64 1/3 (.f64 1/4 (/.f64 1 N))))
(.f64 -1 (+.f64 1/3 (.f64 1/4 (/.f64 1 N))))
(.f64 -1 (+.f64 1/3 (.f64 1/4 (/.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 1 N)
(/.f64 (-.f64 1 (*.f64 1/2 (/.f64 1 N))) N)
(/.f64 (-.f64 1 (*.f64 1/2 (/.f64 1 N))) N)
(/.f64 (-.f64 1 (*.f64 1/2 (/.f64 1 N))) N)
(/.f64 1 N)
(.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 N)) 1) N))
(.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 N)) 1) N))
(.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 N)) 1) N))
(/.f64 1/3 (pow.f64 N 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))
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)))
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 1/3 (pow.f64 N 3))
(/.f64 (+.f64 1/3 (*.f64 -1/2 N)) (pow.f64 N 3))
(/.f64 (+.f64 1/3 (*.f64 N (-.f64 N 1/2))) (pow.f64 N 3))
(/.f64 (+.f64 1/3 (*.f64 N (-.f64 N 1/2))) (pow.f64 N 3))
(/.f64 1 N)
(/.f64 (-.f64 1 (*.f64 1/2 (/.f64 1 N))) N)
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N))) N)
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N))) N)
(/.f64 1 N)
(.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 N)) 1) N))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)) 1) N))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)) 1) N))
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 1 N)
(/.f64 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 1 N)
(/.f64 (-.f64 1 (*.f64 1/2 (/.f64 1 N))) N)
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N))) N)
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (+.f64 (.f64 1/2 (/.f64 1 N)) (.f64 1/4 (/.f64 1 (pow.f64 N 3))))) N)
(/.f64 1 N)
(.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 N)) 1) N))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)) 1) N))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/4 (/.f64 1 N)) 1/3) N)) 1/2) N)) 1) N))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 N 4))) (cbrt.f64 -1/4))
(/.f64 (+.f64 (.f64 1/9 (.f64 (cbrt.f64 (pow.f64 N 5)) (/.f64 1 (pow.f64 (cbrt.f64 -1/4) 2)))) (*.f64 (cbrt.f64 (pow.f64 N 2)) (cbrt.f64 -1/4))) (pow.f64 N 2))
(/.f64 (+.f64 (.f64 (cbrt.f64 (pow.f64 N 2)) (cbrt.f64 -1/4)) (.f64 (pow.f64 N 3) (+.f64 (.f64 1/9 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 N 4))) (/.f64 1 (pow.f64 (cbrt.f64 -1/4) 2)))) (.f64 1/6 (.f64 (cbrt.f64 (/.f64 1 N)) (/.f64 1 (pow.f64 (cbrt.f64 -1/4) 2))))))) (pow.f64 N 2))
(/.f64 (+.f64 (.f64 (cbrt.f64 (pow.f64 N 2)) (cbrt.f64 -1/4)) (.f64 (pow.f64 N 3) (+.f64 (.f64 1/9 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 N 4))) (/.f64 1 (pow.f64 (cbrt.f64 -1/4) 2)))) (.f64 N (+.f64 (.f64 1/6 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 N 4))) (/.f64 1 (pow.f64 (cbrt.f64 -1/4) 2)))) (.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 N)) (/.f64 1 (pow.f64 (cbrt.f64 -1/4) 2))))))))) (pow.f64 N 2))
(cbrt.f64 (+.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (cbrt.f64 (+.f64 (/.f64 1 N) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))) (.f64 1/9 (.f64 (/.f64 1 (pow.f64 N 3)) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 1 N) (.f64 1/2 (/.f64 1 (pow.f64 N 2)))) 2))))))
(+.f64 (cbrt.f64 (+.f64 (/.f64 1 N) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))) (+.f64 (.f64 -1/12 (.f64 (/.f64 1 (pow.f64 N 4)) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 1 N) (.f64 1/2 (/.f64 1 (pow.f64 N 2)))) 2))))) (.f64 1/9 (.f64 (/.f64 1 (pow.f64 N 3)) (cbrt.f64 (/.f64 1 (pow.f64 (+.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))) 2)))))))
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(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N))))
(exp.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) (log.f64 N)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N))) 1))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 N))) 1)
(*.f64 1 (cbrt.f64 N))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2) (cbrt.f64 (cbrt.f64 N)))
(*.f64 (sqrt.f64 (cbrt.f64 N)) (sqrt.f64 (cbrt.f64 N)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 N))
(*.f64 (pow.f64 (sqrt.f64 N) 1/3) (pow.f64 (sqrt.f64 N) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 N)) (cbrt.f64 (sqrt.f64 N)))
(pow.f64 N 1/3)
(pow.f64 (cbrt.f64 N) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 N)) 3)
(pow.f64 (sqrt.f64 (cbrt.f64 N)) 2)
(log.f64 (exp.f64 (cbrt.f64 N)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 N))))
(expm1.f64 (log1p.f64 (cbrt.f64 N)))
(log1p.f64 (expm1.f64 (cbrt.f64 N)))
(exp.f64 (log.f64 (cbrt.f64 N)))
(exp.f64 (*.f64 (log.f64 N) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 N)) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 N) 2))) 1)
(*.f64 1 (pow.f64 (cbrt.f64 N) 2))
(*.f64 (cbrt.f64 N) (cbrt.f64 N))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 N) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 N) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 N) 2)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 N 2))) (cbrt.f64 (sqrt.f64 (pow.f64 N 2))))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 N) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 N) 2))))
(cbrt.f64 (pow.f64 N 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 N) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 N) 2)))
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 N))))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 N))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N)) (cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) 2) (pow.f64 N 2)))))) 1)
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) 2) (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N))) (pow.f64 (cbrt.f64 N) 2))
(pow.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N)) (cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) 2) (pow.f64 N 2)))) 1)
(pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N)) (cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) 2) (pow.f64 N 2))))) 3)
(pow.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N)) (cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) 2) (pow.f64 N 2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N)) (cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) 2) (pow.f64 N 2))))) 2)
(log.f64 (pow.f64 (exp.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N))) (cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) 2) (pow.f64 N 2)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N)) (cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) 2) (pow.f64 N 2)))))))
(cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N)) (cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) 2) (pow.f64 N 2)))) 3))
(cbrt.f64 (*.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) 2) (pow.f64 N 2))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) 2) (pow.f64 N 2))) 3) (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N)))
(expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N)) (cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) 2) (pow.f64 N 2))))))
(log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N)) (cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) 2) (pow.f64 N 2))))))
(exp.f64 (log.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N)) (cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) 2) (pow.f64 N 2))))))
(exp.f64 (.f64 (log.f64 (.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N)) (cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) 2) (pow.f64 N 2))))) 1))

Outputs
(/.f64 1/4 (pow.f64 N 2))
(/.f64 (+.f64 1/4 (*.f64 -1/3 N)) (pow.f64 N 2))
(/.f64 (+.f64 1/4 (*.f64 N -1/3)) (pow.f64 N 2))
(/.f64 (fma.f64 N -1/3 1/4) (pow.f64 N 2))
(/.f64 (+.f64 1/4 (.f64 N (-.f64 (.f64 8/9 N) 1/3))) (pow.f64 N 2))
(/.f64 (+.f64 1/4 (*.f64 N (fma.f64 8/9 N -1/3))) (pow.f64 N 2))
(/.f64 (fma.f64 N (fma.f64 N 8/9 -1/3) 1/4) (pow.f64 N 2))
(/.f64 (+.f64 1/4 (.f64 N (-.f64 (.f64 N (+.f64 8/9 (*.f64 -32/27 N))) 1/3))) (pow.f64 N 2))
(/.f64 (+.f64 1/4 (.f64 N (fma.f64 N (+.f64 8/9 (.f64 N -32/27)) -1/3))) (pow.f64 N 2))
(/.f64 (fma.f64 N (fma.f64 N (fma.f64 N -32/27 8/9) -1/3) 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 N)) N)
(/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)
(/.f64 (-.f64 (+.f64 1/3 (/.f64 3/8 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 N))) N)
(/.f64 (+.f64 1/3 (-.f64 (/.f64 3/8 (pow.f64 N 2)) (/.f64 1/4 N))) N)
(/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 3/8 N) -1/4) N)) N)
(/.f64 (-.f64 (+.f64 1/3 (/.f64 3/8 (pow.f64 N 2))) (+.f64 (.f64 1/4 (/.f64 1 N)) (.f64 9/32 (/.f64 1 (pow.f64 N 3))))) N)
(/.f64 (+.f64 1/3 (-.f64 (/.f64 3/8 (pow.f64 N 2)) (+.f64 (/.f64 1/4 N) (/.f64 9/32 (pow.f64 N 3))))) N)
(/.f64 (+.f64 1/3 (-.f64 (/.f64 (+.f64 (/.f64 3/8 N) -1/4) N) (/.f64 9/32 (pow.f64 N 3)))) N)
(/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)) N)
(/.f64 1/3 N)
(.f64 -1 (/.f64 (-.f64 (.f64 1/4 (/.f64 1 N)) 1/3) N))
(/.f64 (-.f64 1/3 (/.f64 1/4 N)) N)
(/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (*.f64 3/8 (/.f64 1 N)) 1/4) N)) 1/3) N))
(/.f64 (+.f64 1/3 (-.f64 (/.f64 3/8 (pow.f64 N 2)) (/.f64 1/4 N))) N)
(/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 3/8 N) -1/4) N)) N)
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 9/32 (/.f64 1 N)) 3/8) N)) 1/4) N)) 1/3) N))
(/.f64 (+.f64 1/3 (-.f64 (/.f64 3/8 (pow.f64 N 2)) (+.f64 (/.f64 1/4 N) (/.f64 9/32 (pow.f64 N 3))))) N)
(/.f64 (+.f64 1/3 (-.f64 (/.f64 (+.f64 (/.f64 3/8 N) -1/4) N) (/.f64 9/32 (pow.f64 N 3)))) N)
(/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)) N)
(/.f64 1/4 N)
(/.f64 (+.f64 1/4 (*.f64 -1/3 N)) N)
(/.f64 (+.f64 1/4 (*.f64 N -1/3)) N)
(/.f64 (fma.f64 N -1/3 1/4) N)
(/.f64 (+.f64 1/4 (.f64 N (-.f64 (.f64 8/9 N) 1/3))) N)
(/.f64 (+.f64 1/4 (*.f64 N (fma.f64 8/9 N -1/3))) N)
(/.f64 (fma.f64 N (fma.f64 N 8/9 -1/3) 1/4) N)
(/.f64 (+.f64 1/4 (.f64 N (-.f64 (.f64 N (+.f64 8/9 (*.f64 -32/27 N))) 1/3))) N)
(/.f64 (+.f64 1/4 (.f64 N (fma.f64 N (+.f64 8/9 (.f64 N -32/27)) -1/3))) N)
(/.f64 (fma.f64 N (fma.f64 N (fma.f64 N -32/27 8/9) -1/3) 1/4) N)
1/3
(-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))
(-.f64 1/3 (/.f64 1/4 N))
(+.f64 1/3 (/.f64 -1/4 N))
(-.f64 (+.f64 1/3 (/.f64 3/8 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 N)))
(+.f64 1/3 (-.f64 (/.f64 3/8 (pow.f64 N 2)) (/.f64 1/4 N)))
(+.f64 1/3 (/.f64 (+.f64 (/.f64 3/8 N) -1/4) N))
(-.f64 (+.f64 1/3 (/.f64 3/8 (pow.f64 N 2))) (+.f64 (.f64 1/4 (/.f64 1 N)) (.f64 9/32 (/.f64 1 (pow.f64 N 3)))))
(+.f64 1/3 (-.f64 (/.f64 3/8 (pow.f64 N 2)) (+.f64 (/.f64 1/4 N) (/.f64 9/32 (pow.f64 N 3)))))
(+.f64 1/3 (-.f64 (/.f64 (+.f64 (/.f64 3/8 N) -1/4) N) (/.f64 9/32 (pow.f64 N 3))))
(+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N))
1/3
(-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))
(-.f64 1/3 (/.f64 1/4 N))
(+.f64 1/3 (/.f64 -1/4 N))
(+.f64 1/3 (.f64 -1 (/.f64 (-.f64 1/4 (.f64 3/8 (/.f64 1 N))) N)))
(+.f64 1/3 (-.f64 (/.f64 3/8 (pow.f64 N 2)) (/.f64 1/4 N)))
(+.f64 1/3 (/.f64 (+.f64 (/.f64 3/8 N) -1/4) N))
(+.f64 1/3 (.f64 -1 (/.f64 (+.f64 1/4 (.f64 -1 (/.f64 (-.f64 3/8 (*.f64 9/32 (/.f64 1 N))) N))) N)))
(+.f64 1/3 (-.f64 (/.f64 3/8 (pow.f64 N 2)) (+.f64 (/.f64 1/4 N) (/.f64 9/32 (pow.f64 N 3)))))
(+.f64 1/3 (-.f64 (/.f64 (+.f64 (/.f64 3/8 N) -1/4) N) (/.f64 9/32 (pow.f64 N 3))))
(+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N))
(/.f64 -1/4 N)
(/.f64 (-.f64 (*.f64 -1/3 N) 1/4) N)
(/.f64 (fma.f64 -1/3 N -1/4) N)
(/.f64 (fma.f64 N -1/3 -1/4) N)
(-.f64 -1/3 (/.f64 1/4 N))
(/.f64 (-.f64 (*.f64 -1/3 N) 1/4) N)
(/.f64 (fma.f64 -1/3 N -1/4) N)
(/.f64 (fma.f64 N -1/3 -1/4) N)
(-.f64 -1/3 (/.f64 1/4 N))
(/.f64 (-.f64 (*.f64 -1/3 N) 1/4) N)
(/.f64 (fma.f64 -1/3 N -1/4) N)
(/.f64 (fma.f64 N -1/3 -1/4) N)
(-.f64 -1/3 (/.f64 1/4 N))
-1/3
(.f64 -1 (+.f64 1/3 (.f64 1/4 (/.f64 1 N))))
(/.f64 (fma.f64 -1/3 N -1/4) N)
(/.f64 (fma.f64 N -1/3 -1/4) N)
(-.f64 -1/3 (/.f64 1/4 N))
(.f64 -1 (+.f64 1/3 (.f64 1/4 (/.f64 1 N))))
(/.f64 (fma.f64 -1/3 N -1/4) N)
(/.f64 (fma.f64 N -1/3 -1/4) N)
(-.f64 -1/3 (/.f64 1/4 N))
(.f64 -1 (+.f64 1/3 (.f64 1/4 (/.f64 1 N))))
(/.f64 (fma.f64 -1/3 N -1/4) N)
(/.f64 (fma.f64 N -1/3 -1/4) N)
(-.f64 -1/3 (/.f64 1/4 N))
-1/3
(.f64 -1 (+.f64 1/3 (.f64 1/4 (/.f64 1 N))))
(/.f64 (fma.f64 -1/3 N -1/4) N)
(/.f64 (fma.f64 N -1/3 -1/4) N)
(-.f64 -1/3 (/.f64 1/4 N))
(.f64 -1 (+.f64 1/3 (.f64 1/4 (/.f64 1 N))))
(/.f64 (fma.f64 -1/3 N -1/4) N)
(/.f64 (fma.f64 N -1/3 -1/4) N)
(-.f64 -1/3 (/.f64 1/4 N))
(.f64 -1 (+.f64 1/3 (.f64 1/4 (/.f64 1 N))))
(/.f64 (fma.f64 -1/3 N -1/4) N)
(/.f64 (fma.f64 N -1/3 -1/4) N)
(-.f64 -1/3 (/.f64 1/4 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 (+.f64 N -1/2) (pow.f64 N 2))
(/.f64 1 N)
(/.f64 (-.f64 1 (*.f64 1/2 (/.f64 1 N))) N)
(/.f64 (+.f64 N -1/2) (pow.f64 N 2))
(/.f64 (-.f64 1 (*.f64 1/2 (/.f64 1 N))) N)
(/.f64 (+.f64 N -1/2) (pow.f64 N 2))
(/.f64 (-.f64 1 (*.f64 1/2 (/.f64 1 N))) N)
(/.f64 (+.f64 N -1/2) (pow.f64 N 2))
(/.f64 1 N)
(.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 N)) 1) N))
(/.f64 (+.f64 N -1/2) (pow.f64 N 2))
(.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 N)) 1) N))
(/.f64 (+.f64 N -1/2) (pow.f64 N 2))
(.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 N)) 1) N))
(/.f64 (+.f64 N -1/2) (pow.f64 N 2))
(/.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 -1/2)) (pow.f64 N 2))
(/.f64 (fma.f64 N -1/2 1/3) (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 (fma.f64 N (+.f64 N -1/2) 1/3) (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 (fma.f64 N (+.f64 N -1/2) 1/3) (pow.f64 N 2))
1
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(+.f64 1 (/.f64 -1/2 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 N))
(+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))
(-.f64 1 (/.f64 (+.f64 1/2 (/.f64 -1/3 N)) 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 N))
(+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))
(-.f64 1 (/.f64 (+.f64 1/2 (/.f64 -1/3 N)) N))
1
(-.f64 1 (*.f64 1/2 (/.f64 1 N)))
(+.f64 1 (/.f64 -1/2 N))
(+.f64 1 (.f64 -1 (/.f64 (-.f64 1/2 (.f64 1/3 (/.f64 1 N))) N)))
(+.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (/.f64 -1/2 N))
(+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))
(-.f64 1 (/.f64 (+.f64 1/2 (/.f64 -1/3 N)) N))
(+.f64 1 (.f64 -1 (/.f64 (-.f64 1/2 (.f64 1/3 (/.f64 1 N))) N)))
(+.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (/.f64 -1/2 N))
(+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N))
(-.f64 1 (/.f64 (+.f64 1/2 (/.f64 -1/3 N)) 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 -1/2)) (pow.f64 N 3))
(/.f64 (fma.f64 N -1/2 1/3) (pow.f64 N 3))
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(/.f64 1 (cbrt.f64 (/.f64 N (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)))))
(/.f64 1 (cbrt.f64 (/.f64 N (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)))))
(/.f64 1 (cbrt.f64 (/.f64 N (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N)))))
(/.f64 1 (cbrt.f64 (/.f64 N (+.f64 1 (/.f64 (-.f64 1/2 (/.f64 (+.f64 -1/3 (/.f64 1/4 N)) N)) N)))))
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(/.f64 (cbrt.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N))) (cbrt.f64 N))
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(/.f64 (cbrt.f64 (+.f64 1 (/.f64 (-.f64 1/2 (/.f64 (+.f64 -1/3 (/.f64 1/4 N)) N)) N))) (cbrt.f64 N))
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(/.f64 (cbrt.f64 (neg.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)))) (cbrt.f64 (neg.f64 N)))
(/.f64 (cbrt.f64 (-.f64 -1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N))) (cbrt.f64 (neg.f64 N)))
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(pow.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N) 1/3)
(cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N))
(cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N)) N))
(cbrt.f64 (/.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 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N)) 1)
(cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N))
(cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N)) N))
(cbrt.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 1/2 (/.f64 (+.f64 -1/3 (/.f64 1/4 N)) N)) N)) N))
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N))) 3)
(cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N))
(cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N)) N))
(cbrt.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 1/2 (/.f64 (+.f64 -1/3 (/.f64 1/4 N)) N)) N)) N))
(pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N))) 2)
(cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N))
(cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N)) N))
(cbrt.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 1/2 (/.f64 (+.f64 -1/3 (/.f64 1/4 N)) N)) N)) N))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N))))
(cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N))
(cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N)) N))
(cbrt.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 1/2 (/.f64 (+.f64 -1/3 (/.f64 1/4 N)) N)) N)) N))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N)))))
(cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N))
(cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N)) N))
(cbrt.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 1/2 (/.f64 (+.f64 -1/3 (/.f64 1/4 N)) N)) N)) N))
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(cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N)) N))
(cbrt.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 1/2 (/.f64 (+.f64 -1/3 (/.f64 1/4 N)) N)) N)) N))
(exp.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N))))
(cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N))
(cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N)) N))
(cbrt.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 1/2 (/.f64 (+.f64 -1/3 (/.f64 1/4 N)) N)) N)) N))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) (log.f64 N)) 1/3))
(cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N))
(cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N)) N))
(cbrt.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 1/2 (/.f64 (+.f64 -1/3 (/.f64 1/4 N)) N)) N)) N))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N))) 1))
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(cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N)) N))
(cbrt.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 1/2 (/.f64 (+.f64 -1/3 (/.f64 1/4 N)) N)) N)) N))
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(expm1.f64 (log1p.f64 (cbrt.f64 N)))
(*.f64 1 (cbrt.f64 N))
(cbrt.f64 N)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2) (cbrt.f64 (cbrt.f64 N)))
(cbrt.f64 N)
(*.f64 (sqrt.f64 (cbrt.f64 N)) (sqrt.f64 (cbrt.f64 N)))
(cbrt.f64 N)
(*.f64 (pow.f64 1 1/3) (cbrt.f64 N))
(cbrt.f64 N)
(*.f64 (pow.f64 (sqrt.f64 N) 1/3) (pow.f64 (sqrt.f64 N) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 N)) (cbrt.f64 (sqrt.f64 N)))
(*.f64 (cbrt.f64 (sqrt.f64 N)) (cbrt.f64 (sqrt.f64 N)))
(pow.f64 N 1/3)
(cbrt.f64 N)
(pow.f64 (cbrt.f64 N) 1)
(cbrt.f64 N)
(pow.f64 (cbrt.f64 (cbrt.f64 N)) 3)
(cbrt.f64 N)
(pow.f64 (sqrt.f64 (cbrt.f64 N)) 2)
(cbrt.f64 N)
(log.f64 (exp.f64 (cbrt.f64 N)))
(cbrt.f64 N)
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 N))))
(cbrt.f64 N)
(expm1.f64 (log1p.f64 (cbrt.f64 N)))
(log1p.f64 (expm1.f64 (cbrt.f64 N)))
(cbrt.f64 N)
(exp.f64 (log.f64 (cbrt.f64 N)))
(cbrt.f64 N)
(exp.f64 (*.f64 (log.f64 N) 1/3))
(cbrt.f64 N)
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(cbrt.f64 N)
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(pow.f64 (cbrt.f64 N) 2)
(*.f64 (cbrt.f64 N) (cbrt.f64 N))
(pow.f64 (cbrt.f64 N) 2)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 N) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 N)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 N) 4)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 N) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 N) 2)))
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(*.f64 (cbrt.f64 (fabs.f64 N)) (cbrt.f64 (fabs.f64 N)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 N) 2)))
(pow.f64 (cbrt.f64 N) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 N) 2))))
(pow.f64 (cbrt.f64 N) 2)
(cbrt.f64 (pow.f64 N 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 N) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 N) 2)))
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(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 1/2 (/.f64 (+.f64 -1/3 (/.f64 1/4 N)) N)) N)) (/.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (-.f64 1/2 (/.f64 (+.f64 -1/3 (/.f64 1/4 N)) N)) N)) 2) (pow.f64 N 2)) N)))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) 2) (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N))) (pow.f64 (cbrt.f64 N) 2))
(/.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N) (pow.f64 (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) 2))) (pow.f64 (cbrt.f64 N) 2))
(/.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N)) N) (pow.f64 (+.f64 -1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N)) 2))) (pow.f64 (cbrt.f64 N) 2))
(/.f64 (cbrt.f64 (*.f64 (/.f64 (+.f64 1 (/.f64 (-.f64 1/2 (/.f64 (+.f64 -1/3 (/.f64 1/4 N)) N)) N)) N) (pow.f64 (+.f64 -1 (/.f64 (-.f64 1/2 (/.f64 (+.f64 -1/3 (/.f64 1/4 N)) N)) N)) 2))) (pow.f64 (cbrt.f64 N) 2))
(pow.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N)) (cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) 2) (pow.f64 N 2)))) 1)
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)) (cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) 2) (pow.f64 N 2))))
(cbrt.f64 (*.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N)) (/.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N)) 2) (pow.f64 N 2)) N)))
(cbrt.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 1/2 (/.f64 (+.f64 -1/3 (/.f64 1/4 N)) N)) N)) (/.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (-.f64 1/2 (/.f64 (+.f64 -1/3 (/.f64 1/4 N)) N)) N)) 2) (pow.f64 N 2)) N)))
(pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N)) (cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) 2) (pow.f64 N 2))))) 3)
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)) (cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) 2) (pow.f64 N 2))))
(cbrt.f64 (*.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N)) (/.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N)) 2) (pow.f64 N 2)) N)))
(cbrt.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 1/2 (/.f64 (+.f64 -1/3 (/.f64 1/4 N)) N)) N)) (/.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (-.f64 1/2 (/.f64 (+.f64 -1/3 (/.f64 1/4 N)) N)) N)) 2) (pow.f64 N 2)) N)))
(pow.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N)) (cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) 2) (pow.f64 N 2)))) 3) 1/3)
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)) (cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) 2) (pow.f64 N 2))))
(cbrt.f64 (*.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N)) (/.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N)) 2) (pow.f64 N 2)) N)))
(cbrt.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 1/2 (/.f64 (+.f64 -1/3 (/.f64 1/4 N)) N)) N)) (/.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (-.f64 1/2 (/.f64 (+.f64 -1/3 (/.f64 1/4 N)) N)) N)) 2) (pow.f64 N 2)) N)))
(pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N)) (cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) 2) (pow.f64 N 2))))) 2)
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)) (cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) 2) (pow.f64 N 2))))
(cbrt.f64 (*.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N)) (/.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N)) 2) (pow.f64 N 2)) N)))
(cbrt.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 1/2 (/.f64 (+.f64 -1/3 (/.f64 1/4 N)) N)) N)) (/.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (-.f64 1/2 (/.f64 (+.f64 -1/3 (/.f64 1/4 N)) N)) N)) 2) (pow.f64 N 2)) N)))
(log.f64 (pow.f64 (exp.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N))) (cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) 2) (pow.f64 N 2)))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)) (cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) 2) (pow.f64 N 2))))
(cbrt.f64 (*.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N)) (/.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N)) 2) (pow.f64 N 2)) N)))
(cbrt.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 1/2 (/.f64 (+.f64 -1/3 (/.f64 1/4 N)) N)) N)) (/.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (-.f64 1/2 (/.f64 (+.f64 -1/3 (/.f64 1/4 N)) N)) N)) 2) (pow.f64 N 2)) N)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N)) (cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) 2) (pow.f64 N 2)))))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)) (cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) 2) (pow.f64 N 2))))
(cbrt.f64 (*.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N)) (/.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N)) 2) (pow.f64 N 2)) N)))
(cbrt.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 1/2 (/.f64 (+.f64 -1/3 (/.f64 1/4 N)) N)) N)) (/.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (-.f64 1/2 (/.f64 (+.f64 -1/3 (/.f64 1/4 N)) N)) N)) 2) (pow.f64 N 2)) N)))
(cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N)) (cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) 2) (pow.f64 N 2)))) 3))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)) (cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) 2) (pow.f64 N 2))))
(cbrt.f64 (*.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N)) (/.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N)) 2) (pow.f64 N 2)) N)))
(cbrt.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 1/2 (/.f64 (+.f64 -1/3 (/.f64 1/4 N)) N)) N)) (/.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (-.f64 1/2 (/.f64 (+.f64 -1/3 (/.f64 1/4 N)) N)) N)) 2) (pow.f64 N 2)) N)))
(cbrt.f64 (*.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) 2) (pow.f64 N 2))) 3)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)) (cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) 2) (pow.f64 N 2))))
(cbrt.f64 (*.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N)) (/.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N)) 2) (pow.f64 N 2)) N)))
(cbrt.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 1/2 (/.f64 (+.f64 -1/3 (/.f64 1/4 N)) N)) N)) (/.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (-.f64 1/2 (/.f64 (+.f64 -1/3 (/.f64 1/4 N)) N)) N)) 2) (pow.f64 N 2)) N)))
(cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) 2) (pow.f64 N 2))) 3) (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)) (cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) 2) (pow.f64 N 2))))
(cbrt.f64 (*.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N)) (/.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N)) 2) (pow.f64 N 2)) N)))
(cbrt.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 1/2 (/.f64 (+.f64 -1/3 (/.f64 1/4 N)) N)) N)) (/.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (-.f64 1/2 (/.f64 (+.f64 -1/3 (/.f64 1/4 N)) N)) N)) 2) (pow.f64 N 2)) N)))
(expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N)) (cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) 2) (pow.f64 N 2))))))
(expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)) (cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) 2) (pow.f64 N 2))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N)) (/.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N)) 2) (pow.f64 N 2)) N)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 1/2 (/.f64 (+.f64 -1/3 (/.f64 1/4 N)) N)) N)) (/.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (-.f64 1/2 (/.f64 (+.f64 -1/3 (/.f64 1/4 N)) N)) N)) 2) (pow.f64 N 2)) N)))))
(log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N)) (cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) 2) (pow.f64 N 2))))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)) (cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) 2) (pow.f64 N 2))))
(cbrt.f64 (*.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N)) (/.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N)) 2) (pow.f64 N 2)) N)))
(cbrt.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 1/2 (/.f64 (+.f64 -1/3 (/.f64 1/4 N)) N)) N)) (/.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (-.f64 1/2 (/.f64 (+.f64 -1/3 (/.f64 1/4 N)) N)) N)) 2) (pow.f64 N 2)) N)))
(exp.f64 (log.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N)) (cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) 2) (pow.f64 N 2))))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)) (cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) 2) (pow.f64 N 2))))
(cbrt.f64 (*.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N)) (/.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N)) 2) (pow.f64 N 2)) N)))
(cbrt.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 1/2 (/.f64 (+.f64 -1/3 (/.f64 1/4 N)) N)) N)) (/.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (-.f64 1/2 (/.f64 (+.f64 -1/3 (/.f64 1/4 N)) N)) N)) 2) (pow.f64 N 2)) N)))
(exp.f64 (.f64 (log.f64 (.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N)) (cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) 2) (pow.f64 N 2))))) 1))
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N)) (cbrt.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) 2) (pow.f64 N 2))))
(cbrt.f64 (*.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N)) (/.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N)) 2) (pow.f64 N 2)) N)))
(cbrt.f64 (*.f64 (+.f64 1 (/.f64 (-.f64 1/2 (/.f64 (+.f64 -1/3 (/.f64 1/4 N)) N)) N)) (/.f64 (/.f64 (pow.f64 (+.f64 -1 (/.f64 (-.f64 1/2 (/.f64 (+.f64 -1/3 (/.f64 1/4 N)) N)) N)) 2) (pow.f64 N 2)) N)))

eval323.0ms (3.2%)

Compiler: Compiled 15260 to 11988 computations (21.4% saved)

prune125.0ms (1.2%)

Pruning

41 alts after pruning (35 fresh and 6 done)

	Pruned	Kept	Total
New	565	14	579
Fresh	3	21	24
Picked	2	3	5
Done	0	3	3
Total	570	41	611

Accuracy

99.7%

Counts

611 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.2%	(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
	22.8%	(pow.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 1) 2)
	22.8%	(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))))
✓	95.1%	(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (/.f64 1/2 N)) N)
	95.9%	(/.f64 (-.f64 (.f64 N (+.f64 1/3 (.f64 N (-.f64 N 1/2)))) 1/4) (pow.f64 N 4))
	92.1%	(/.f64 (-.f64 N 1/2) (pow.f64 N 2))
	95.1%	(/.f64 (-.f64 1 (/.f64 (+.f64 1/2 (/.f64 -1/3 N)) N)) N)
	85.5%	(/.f64 (-.f64 1 (/.f64 (+.f64 1/6 (/.f64 2/9 N)) N)) N)
✓	92.3%	(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
▶	85.4%	(/.f64 (-.f64 1 (/.f64 1/6 N)) N)
	92.4%	(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (/.f64 1/4 N) N)) N)) (neg.f64 N))
▶	96.4%	(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)) N)) N)) (neg.f64 N))
	96.4%	(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 3/8 N) -1/4) N)) N)) N)) (neg.f64 N))
	22.8%	(/.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))))))
	96.4%	(/.f64 (+.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N) 1) N)
	94.7%	(/.f64 (+.f64 1/3 (*.f64 N (-.f64 N 1/2))) (pow.f64 N 3))
	84.4%	(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) 2) (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N))) (pow.f64 (cbrt.f64 N) 2))
✓	85.1%	(/.f64 1 N)
	92.3%	(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
✓	22.8%	(-.f64 (log1p.f64 N) (log.f64 N))
	25.3%	(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1)))) 1)
	23.7%	(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
	92.3%	(*.f64 (-.f64 1 (/.f64 1/2 N)) (/.f64 1 N))
✓	22.1%	(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
	22.1%	(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (exp.f64 (log.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))))
	22.1%	(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (cbrt.f64 (pow.f64 (log.f64 N) 3/2))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
	24.3%	(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
	26.0%	(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
	25.5%	(log1p.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1)) 3))
	25.5%	(log1p.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 N 1) N) 3)) (-.f64 (-.f64 -1 (/.f64 (+.f64 N 1) N)) (pow.f64 (/.f64 (+.f64 N 1) N) 2))))
	25.4%	(log1p.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 N 1) N) 2)) (-.f64 -1 (/.f64 (+.f64 N 1) N))))
	25.5%	(log1p.f64 (/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2) (+.f64 1 (/.f64 (+.f64 N 1) N))) (+.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 3) -1))))
	25.4%	(log1p.f64 (/.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 N 1) N) 1) (+.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2) -1))))
	25.3%	(log1p.f64 (-.f64 (+.f64 1 (/.f64 1 N)) 1))
▶	25.4%	(log1p.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2) -1) (/.f64 1 (+.f64 (/.f64 (+.f64 N 1) N) 1))))
	25.3%	(log1p.f64 (log.f64 (exp.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))))
▶	26.5%	(log1p.f64 (exp.f64 (log.f64 (fma.f64 (+.f64 N 1) (/.f64 1 N) -1))))
	25.4%	(log1p.f64 (exp.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2) 1) (-.f64 (/.f64 (+.f64 N 1) N) -1)))))
✓	25.5%	(log1p.f64 (exp.f64 (log.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))))
▶	25.5%	(log.f64 (/.f64 (+.f64 N 1) N))
	22.8%	(exp.f64 (.f64 (.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1/3))

Compiler

Compiled 1191 to 889 computations (25.4% saved)

localize734.0ms (7.2%)

Localize:

Found 16 expressions with local error:

New	Accuracy	Program
✓	100.0%	(log.f64 (fma.f64 (+.f64 N 1) (/.f64 1 N) -1))
✓	99.8%	(log1p.f64 (exp.f64 (log.f64 (fma.f64 (+.f64 N 1) (/.f64 1 N) -1))))
✓	95.1%	(exp.f64 (log.f64 (fma.f64 (+.f64 N 1) (/.f64 1 N) -1)))
✓	27.1%	(fma.f64 (+.f64 N 1) (/.f64 1 N) -1)
✓	99.8%	(*.f64 (+.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2) -1) (/.f64 1 (+.f64 (/.f64 (+.f64 N 1) N) 1)))
✓	99.7%	(/.f64 1 (+.f64 (/.f64 (+.f64 N 1) N) 1))
✓	99.7%	(pow.f64 (/.f64 (+.f64 N 1) N) 2)
✓	26.2%	(+.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2) -1)
	100.0%	(/.f64 (+.f64 N 1) N)
✓	25.3%	(log.f64 (/.f64 (+.f64 N 1) N))
✓	99.9%	(/.f64 (-.f64 1 (/.f64 1/6 N)) N)
✓	99.4%	(/.f64 1/6 N)
✓	99.9%	(/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)) N)) N)
✓	99.8%	(/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N)
✓	99.8%	(+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N))
✓	99.5%	(/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)) N)

Compiler

Compiled 319 to 238 computations (25.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 418.0ms

Operation ival-add, time spent: 156.0ms, 37.0% of total-time

Operation ival-div, time spent: 130.0ms, 31.0% of total-time

Operation composed, time spent: 39.0ms, 9.0% of total-time

Operation ival-log, time spent: 37.0ms, 9.0% of total-time

Operation ival-mult, time spent: 19.0ms, 5.0% of total-time

Operation const, time spent: 15.0ms, 4.0% of total-time

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

Operation ival-exp, time spent: 7.0ms, 2.0% of total-time

Operation ival-sub, time spent: 5.0ms, 1.0% of total-time

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

series40.0ms (0.4%)

Counts

15 → 168

Calls

Call 1

Inputs
#<alt (/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)) N)>
#<alt (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N))>
#<alt (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N)>
#<alt (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)) N)) N)>
#<alt (/.f64 1/6 N)>
#<alt (/.f64 (-.f64 1 (/.f64 1/6 N)) N)>
#<alt (log.f64 (/.f64 (+.f64 N 1) N))>
#<alt (+.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2) -1)>
#<alt (pow.f64 (/.f64 (+.f64 N 1) N) 2)>
#<alt (/.f64 1 (+.f64 (/.f64 (+.f64 N 1) N) 1))>
#<alt (*.f64 (+.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2) -1) (/.f64 1 (+.f64 (/.f64 (+.f64 N 1) N) 1)))>
#<alt (fma.f64 (+.f64 N 1) (/.f64 1 N) -1)>
#<alt (exp.f64 (log.f64 (fma.f64 (+.f64 N 1) (/.f64 1 N) -1)))>
#<alt (log1p.f64 (exp.f64 (log.f64 (fma.f64 (+.f64 N 1) (/.f64 1 N) -1))))>
#<alt (log.f64 (fma.f64 (+.f64 N 1) (/.f64 1 N) -1))>

Outputs
#<alt (/.f64 -9/32 (pow.f64 N 4))>
#<alt (/.f64 (-.f64 (*.f64 3/8 N) 9/32) (pow.f64 N 4))>
#<alt (/.f64 (-.f64 (.f64 N (+.f64 3/8 (.f64 -1/4 N))) 9/32) (pow.f64 N 4))>
#<alt (/.f64 (-.f64 (.f64 N (+.f64 3/8 (.f64 N (-.f64 (*.f64 1/3 N) 1/4)))) 9/32) (pow.f64 N 4))>
#<alt (/.f64 1/3 N)>
#<alt (/.f64 (-.f64 1/3 (*.f64 1/4 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 (+.f64 1/3 (/.f64 3/8 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 (+.f64 1/3 (/.f64 3/8 (pow.f64 N 2))) (+.f64 (.f64 1/4 (/.f64 1 N)) (.f64 9/32 (/.f64 1 (pow.f64 N 3))))) 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 (/.f64 (-.f64 (*.f64 3/8 (/.f64 1 N)) 1/4) N)) 1/3) N))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 9/32 (/.f64 1 N)) 3/8) N)) 1/4) N)) 1/3) N))>
#<alt (/.f64 -9/32 (pow.f64 N 3))>
#<alt (/.f64 (-.f64 (*.f64 3/8 N) 9/32) (pow.f64 N 3))>
#<alt (/.f64 (-.f64 (.f64 N (+.f64 3/8 (.f64 -1/4 N))) 9/32) (pow.f64 N 3))>
#<alt (/.f64 (-.f64 (.f64 N (+.f64 3/8 (.f64 N (-.f64 (*.f64 1/3 N) 1/4)))) 9/32) (pow.f64 N 3))>
#<alt 1/3>
#<alt (-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))>
#<alt (-.f64 (+.f64 1/3 (/.f64 3/8 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 N)))>
#<alt (-.f64 (+.f64 1/3 (/.f64 3/8 (pow.f64 N 2))) (+.f64 (.f64 1/4 (/.f64 1 N)) (.f64 9/32 (/.f64 1 (pow.f64 N 3)))))>
#<alt 1/3>
#<alt (-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))>
#<alt (+.f64 1/3 (.f64 -1 (/.f64 (-.f64 1/4 (.f64 3/8 (/.f64 1 N))) N)))>
#<alt (+.f64 1/3 (.f64 -1 (/.f64 (+.f64 1/4 (.f64 -1 (/.f64 (-.f64 3/8 (*.f64 9/32 (/.f64 1 N))) N))) N)))>
#<alt (/.f64 -9/32 (pow.f64 N 2))>
#<alt (/.f64 (-.f64 (*.f64 3/8 N) 9/32) (pow.f64 N 2))>
#<alt (/.f64 (-.f64 (*.f64 3/8 N) 9/32) (pow.f64 N 2))>
#<alt (/.f64 (-.f64 (*.f64 3/8 N) 9/32) (pow.f64 N 2))>
#<alt (/.f64 3/8 N)>
#<alt (/.f64 (-.f64 3/8 (*.f64 9/32 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 3/8 (*.f64 9/32 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 3/8 (*.f64 9/32 (/.f64 1 N))) N)>
#<alt (/.f64 3/8 N)>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 9/32 (/.f64 1 N)) 3/8) N))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 9/32 (/.f64 1 N)) 3/8) N))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 9/32 (/.f64 1 N)) 3/8) N))>
#<alt (/.f64 -9/32 (pow.f64 N 5))>
#<alt (/.f64 (-.f64 (*.f64 3/8 N) 9/32) (pow.f64 N 5))>
#<alt (/.f64 (-.f64 (.f64 N (+.f64 3/8 (.f64 -1/4 N))) 9/32) (pow.f64 N 5))>
#<alt (/.f64 (-.f64 (.f64 N (+.f64 3/8 (.f64 N (-.f64 (*.f64 1/3 N) 1/4)))) 9/32) (pow.f64 N 5))>
#<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 (.f64 1/3 (/.f64 1 N)) (.f64 3/8 (/.f64 1 (pow.f64 N 3)))) (+.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 (/.f64 (-.f64 1/4 (.f64 3/8 (/.f64 1 N))) N))) N))) N))>
#<alt (/.f64 -1/6 (pow.f64 N 2))>
#<alt (/.f64 (-.f64 N 1/6) (pow.f64 N 2))>
#<alt (/.f64 (-.f64 N 1/6) (pow.f64 N 2))>
#<alt (/.f64 (-.f64 N 1/6) (pow.f64 N 2))>
#<alt (/.f64 1 N)>
#<alt (/.f64 (-.f64 1 (*.f64 1/6 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 1 (*.f64 1/6 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 1 (*.f64 1/6 (/.f64 1 N))) N)>
#<alt (/.f64 1 N)>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 1/6 (/.f64 1 N)) 1) N))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 1/6 (/.f64 1 N)) 1) N))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 1/6 (/.f64 1 N)) 1) N))>
#<alt (*.f64 -1 (log.f64 N))>
#<alt (+.f64 N (*.f64 -1 (log.f64 N)))>
#<alt (+.f64 (.f64 -1 (log.f64 N)) (.f64 N (+.f64 1 (*.f64 -1/2 N))))>
#<alt (+.f64 (.f64 -1 (log.f64 N)) (.f64 N (+.f64 1 (.f64 N (-.f64 (.f64 1/3 N) 1/2)))))>
#<alt (/.f64 1 N)>
#<alt (/.f64 (-.f64 1 (*.f64 1/2 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (+.f64 (.f64 1/2 (/.f64 1 N)) (.f64 1/4 (/.f64 1 (pow.f64 N 3))))) N)>
#<alt (/.f64 1 N)>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 N)) 1) N))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)) 1) N))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/4 (/.f64 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (/.f64 1 (pow.f64 N 2))>
#<alt (/.f64 (+.f64 1 (*.f64 2 N)) (pow.f64 N 2))>
#<alt (/.f64 (+.f64 1 (*.f64 2 N)) (pow.f64 N 2))>
#<alt (/.f64 (+.f64 1 (*.f64 2 N)) (pow.f64 N 2))>
#<alt (/.f64 2 N)>
#<alt (/.f64 (+.f64 2 (/.f64 1 N)) N)>
#<alt (/.f64 (+.f64 2 (/.f64 1 N)) N)>
#<alt (/.f64 (+.f64 2 (/.f64 1 N)) N)>
#<alt (/.f64 2 N)>
#<alt (/.f64 (+.f64 2 (/.f64 1 N)) N)>
#<alt (/.f64 (+.f64 2 (/.f64 1 N)) N)>
#<alt (/.f64 (+.f64 2 (/.f64 1 N)) N)>
#<alt (/.f64 1 (pow.f64 N 2))>
#<alt (/.f64 (+.f64 1 (*.f64 2 N)) (pow.f64 N 2))>
#<alt (/.f64 (+.f64 1 (*.f64 N (+.f64 2 N))) (pow.f64 N 2))>
#<alt (/.f64 (+.f64 1 (*.f64 N (+.f64 2 N))) (pow.f64 N 2))>
#<alt 1>
#<alt (+.f64 1 (*.f64 2 (/.f64 1 N)))>
#<alt (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 N)) (/.f64 1 (pow.f64 N 2))))>
#<alt (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 N)) (/.f64 1 (pow.f64 N 2))))>
#<alt 1>
#<alt (+.f64 1 (*.f64 2 (/.f64 1 N)))>
#<alt (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 N)) (/.f64 1 (pow.f64 N 2))))>
#<alt (+.f64 1 (+.f64 (*.f64 2 (/.f64 1 N)) (/.f64 1 (pow.f64 N 2))))>
#<alt N>
#<alt (.f64 N (+.f64 1 (.f64 -2 N)))>
#<alt (.f64 N (+.f64 1 (.f64 N (-.f64 (*.f64 4 N) 2))))>
#<alt (.f64 N (+.f64 1 (.f64 N (-.f64 (.f64 N (+.f64 4 (.f64 -8 N))) 2))))>
#<alt 1/2>
#<alt (-.f64 1/2 (*.f64 1/4 (/.f64 1 N)))>
#<alt (-.f64 (+.f64 1/2 (/.f64 1/8 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 N)))>
#<alt (-.f64 (+.f64 1/2 (/.f64 1/8 (pow.f64 N 2))) (+.f64 (.f64 1/4 (/.f64 1 N)) (.f64 1/16 (/.f64 1 (pow.f64 N 3)))))>
#<alt 1/2>
#<alt (-.f64 1/2 (*.f64 1/4 (/.f64 1 N)))>
#<alt (+.f64 1/2 (.f64 -1 (/.f64 (-.f64 1/4 (.f64 1/8 (/.f64 1 N))) N)))>
#<alt (+.f64 1/2 (.f64 -1 (/.f64 (+.f64 1/4 (.f64 -1 (/.f64 (-.f64 1/8 (*.f64 1/16 (/.f64 1 N))) N))) N)))>
#<alt (/.f64 1 N)>
#<alt (/.f64 1 N)>
#<alt (/.f64 1 N)>
#<alt (/.f64 1 N)>
#<alt (/.f64 1 N)>
#<alt (/.f64 1 N)>
#<alt (/.f64 1 N)>
#<alt (/.f64 1 N)>
#<alt (/.f64 1 N)>
#<alt (/.f64 1 N)>
#<alt (/.f64 1 N)>
#<alt (/.f64 1 N)>
#<alt (/.f64 1 N)>
#<alt (/.f64 1 N)>
#<alt (/.f64 1 N)>
#<alt (/.f64 1 N)>
#<alt (/.f64 1 N)>
#<alt (/.f64 1 N)>
#<alt (/.f64 1 N)>
#<alt (/.f64 1 N)>
#<alt (/.f64 1 N)>
#<alt (/.f64 1 N)>
#<alt (/.f64 1 N)>
#<alt (/.f64 1 N)>
#<alt (/.f64 1 N)>
#<alt (/.f64 1 N)>
#<alt (/.f64 1 N)>
#<alt (/.f64 1 N)>
#<alt (/.f64 1 N)>
#<alt (/.f64 1 N)>
#<alt (/.f64 1 N)>
#<alt (/.f64 1 N)>
#<alt (/.f64 1 N)>
#<alt (/.f64 1 N)>
#<alt (/.f64 1 N)>
#<alt (/.f64 1 N)>
#<alt (*.f64 -1 (log.f64 N))>
#<alt (+.f64 N (*.f64 -1 (log.f64 N)))>
#<alt (+.f64 (.f64 -1 (log.f64 N)) (.f64 N (+.f64 1 (*.f64 -1/2 N))))>
#<alt (+.f64 (.f64 -1 (log.f64 N)) (.f64 N (+.f64 1 (.f64 N (-.f64 (.f64 1/3 N) 1/2)))))>
#<alt (/.f64 1 N)>
#<alt (/.f64 (-.f64 1 (*.f64 1/2 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N))) N)>
#<alt (/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (+.f64 (.f64 1/2 (/.f64 1 N)) (.f64 1/4 (/.f64 1 (pow.f64 N 3))))) N)>
#<alt (/.f64 1 N)>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 N)) 1) N))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)) 1) N))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/4 (/.f64 1 N)) 1/3) N)) 1/2) N)) 1) N))>
#<alt (*.f64 -1 (log.f64 N))>
#<alt (*.f64 -1 (log.f64 N))>
#<alt (*.f64 -1 (log.f64 N))>
#<alt (*.f64 -1 (log.f64 N))>
#<alt (log.f64 (/.f64 1 N))>
#<alt (log.f64 (/.f64 1 N))>
#<alt (log.f64 (/.f64 1 N))>
#<alt (log.f64 (/.f64 1 N))>
#<alt (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))>
#<alt (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))>
#<alt (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))>
#<alt (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))>

Calls

45 calls:

Time	Variable		Point	Expression
7.0ms	N	@	inf	(log (+ (* (+ N 1) (/ 1 N)) -1))
6.0ms	N	@	-inf	(log (+ (* (+ N 1) (/ 1 N)) -1))
1.0ms	N	@	inf	(* (+ (pow (/ (+ N 1) N) 2) -1) (/ 1 (+ (/ (+ N 1) N) 1)))
1.0ms	N	@	-inf	(* (+ (pow (/ (+ N 1) N) 2) -1) (/ 1 (+ (/ (+ N 1) N) 1)))
1.0ms	N	@	0	(* (+ (pow (/ (+ N 1) N) 2) -1) (/ 1 (+ (/ (+ N 1) N) 1)))

rewrite152.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

348×	`frac-times`
298×	`log1p-expm1-u`
298×	`expm1-log1p-u`
289×	`pow1`
288×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	504
1	666	500

Stop Event

1×	node limit

Counts

15 → 378

Calls

Call 1

Inputs
(/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)) N)
(+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N))
(/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N)
(/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)) N)) N)
(/.f64 1/6 N)
(/.f64 (-.f64 1 (/.f64 1/6 N)) N)
(log.f64 (/.f64 (+.f64 N 1) N))
(+.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2) -1)
(pow.f64 (/.f64 (+.f64 N 1) N) 2)
(/.f64 1 (+.f64 (/.f64 (+.f64 N 1) N) 1))
(*.f64 (+.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2) -1) (/.f64 1 (+.f64 (/.f64 (+.f64 N 1) N) 1)))
(fma.f64 (+.f64 N 1) (/.f64 1 N) -1)
(exp.f64 (log.f64 (fma.f64 (+.f64 N 1) (/.f64 1 N) -1)))
(log1p.f64 (exp.f64 (log.f64 (fma.f64 (+.f64 N 1) (/.f64 1 N) -1))))
(log.f64 (fma.f64 (+.f64 N 1) (/.f64 1 N) -1))

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)) N))) 1)
(*.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)) (/.f64 1 N))
(*.f64 1 (/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)) N))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)) N)) 2) (cbrt.f64 (/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)) N)))
(*.f64 (pow.f64 N -1/2) (/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)) (sqrt.f64 N)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)) N)) (sqrt.f64 (/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)) N)))
(*.f64 (neg.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N))) (/.f64 1 (neg.f64 N)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)) (cbrt.f64 N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N))) 2) 1) (/.f64 (cbrt.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N))) N))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N))) 2) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)) N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N))) 2) (sqrt.f64 N)) (/.f64 (cbrt.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N))) (sqrt.f64 N)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N))) 1) (/.f64 (sqrt.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N))) N))
(*.f64 (/.f64 (sqrt.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N))) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (sqrt.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N))) (cbrt.f64 N)))
(pow.f64 (/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)) N) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)) N)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)) N) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)) N)) 2)
(pow.f64 (/.f64 N (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N))) -1)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)) N) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)) N)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)) N))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)) N) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)) N)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)) N)))
(exp.f64 (log.f64 (/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)) N)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)) N)) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)))) 1)
(-.f64 (/.f64 1/9 (-.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N))) (/.f64 (pow.f64 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N) 2) (-.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N))))
(*.f64 1 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N))) 2) (cbrt.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N))))
(*.f64 (sqrt.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N))) (sqrt.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N))))
(.f64 (+.f64 1/27 (pow.f64 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N) 3)) (/.f64 1 (+.f64 1/9 (-.f64 (pow.f64 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N) 2) (.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N))))))
(*.f64 (-.f64 1/9 (pow.f64 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N) 2)) (/.f64 1 (-.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N))))
(/.f64 1 (/.f64 (+.f64 1/9 (-.f64 (pow.f64 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N) 2) (*.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)))) (+.f64 1/27 (pow.f64 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N) 3))))
(/.f64 1 (/.f64 (-.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)) (-.f64 1/9 (pow.f64 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N) 2))))
(/.f64 (+.f64 1/27 (pow.f64 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N) 3)) (+.f64 1/9 (-.f64 (pow.f64 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N) 2) (*.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)))))
(/.f64 (-.f64 1/9 (pow.f64 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N) 2)) (-.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)))
(/.f64 (neg.f64 (+.f64 1/27 (pow.f64 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N) 3))) (neg.f64 (+.f64 1/9 (-.f64 (pow.f64 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N) 2) (*.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N))))))
(/.f64 (neg.f64 (-.f64 1/9 (pow.f64 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N) 2))) (neg.f64 (-.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N))))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N) 3) 1/27) (+.f64 (pow.f64 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N) 2) (-.f64 1/9 (*.f64 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N) 1/3))))
(pow.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)) 1)
(pow.f64 (cbrt.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N))) 3)
(pow.f64 (pow.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N))) 2)
(sqrt.f64 (pow.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)) 2))
(log.f64 (exp.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)))))
(cbrt.f64 (pow.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)) 3))
(expm1.f64 (log1p.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N))))
(log1p.f64 (expm1.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N))))
(exp.f64 (log.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N))))
(exp.f64 (*.f64 (log.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N))) 1))
(fma.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) (/.f64 1 N) 1/3)
(fma.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N) 1/3)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)) 2) (cbrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)) 1/3)
(fma.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)) (sqrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)) 1/3)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N))) 1)
(*.f64 (+.f64 3/8 (/.f64 -9/32 N)) (/.f64 1 N))
(*.f64 1 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N)) 2) (cbrt.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N)) (sqrt.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N)))
(*.f64 (pow.f64 N -1/2) (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) (sqrt.f64 N)))
(*.f64 (neg.f64 (+.f64 3/8 (/.f64 -9/32 N))) (/.f64 1 (neg.f64 N)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) (cbrt.f64 N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 3/8 (/.f64 -9/32 N))) 2) 1) (/.f64 (cbrt.f64 (+.f64 3/8 (/.f64 -9/32 N))) N))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 3/8 (/.f64 -9/32 N))) 2) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 3/8 (/.f64 -9/32 N))) 2) (sqrt.f64 N)) (/.f64 (cbrt.f64 (+.f64 3/8 (/.f64 -9/32 N))) (sqrt.f64 N)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 3/8 (/.f64 -9/32 N))) 1) (/.f64 (sqrt.f64 (+.f64 3/8 (/.f64 -9/32 N))) N))
(*.f64 (/.f64 (sqrt.f64 (+.f64 3/8 (/.f64 -9/32 N))) (pow.f64 (cbrt.f64 N) 2)) (/.f64 (sqrt.f64 (+.f64 3/8 (/.f64 -9/32 N))) (cbrt.f64 N)))
(pow.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N)) 2)
(pow.f64 (/.f64 N (+.f64 3/8 (/.f64 -9/32 N))) -1)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N)))
(exp.f64 (log.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N)) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)) N) -1/2) N))) 1)
(*.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)) N) -1/2) (/.f64 1 N))
(*.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)) N) -1/2) N))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)) N) -1/2) N)) 2) (cbrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)) N) -1/2) N)))
(*.f64 (pow.f64 N -1/2) (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)) N) -1/2) (sqrt.f64 N)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)) N) -1/2) N)) (sqrt.f64 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)) N) -1/2) N)))
(*.f64 (neg.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)) N) -1/2)) (/.f64 1 (neg.f64 N)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 2)) (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)) N) -1/2) (cbrt.f64 N)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)) N) -1/2)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)) N) -1/2)) N))
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(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (/.f64 (+.f64 N 1) N)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (/.f64 (+.f64 N 1) N))))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 1 (/.f64 (+.f64 N 1) N))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (/.f64 (+.f64 N 1) N)))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (/.f64 (+.f64 N 1) N)))))
(exp.f64 (neg.f64 (log1p.f64 (/.f64 (+.f64 N 1) N))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (+.f64 N 1) N)) -1))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (/.f64 (+.f64 N 1) N))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2) -1) (+.f64 1 (/.f64 (+.f64 N 1) N))))) 1)
(/.f64 1 (/.f64 (+.f64 1 (/.f64 (+.f64 N 1) N)) (+.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2) -1)))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 (+.f64 N 1) N)) (*.f64 (+.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2) -1) 1)))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2) -1) (+.f64 1 (/.f64 (+.f64 N 1) N)))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 6) -1) (.f64 (+.f64 1 (/.f64 (+.f64 N 1) N)) (+.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 4) (-.f64 1 (.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2) -1)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 6) -1) (.f64 (.f64 (+.f64 1 (/.f64 (+.f64 N 1) N)) 1) (+.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 4) (-.f64 1 (*.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2) -1)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 4) 1) (*.f64 (+.f64 1 (/.f64 (+.f64 N 1) N)) (-.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2) -1)))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 4) 1) (.f64 (.f64 (+.f64 1 (/.f64 (+.f64 N 1) N)) 1) (-.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2) -1)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2) -1) 1) (+.f64 1 (/.f64 (+.f64 N 1) N)))
(/.f64 (.f64 (+.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 6) -1) 1) (.f64 (+.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 4) (-.f64 1 (*.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2) -1))) (+.f64 1 (/.f64 (+.f64 N 1) N))))
(/.f64 (.f64 (+.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 6) -1) 1) (.f64 (+.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 4) (-.f64 1 (.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2) -1))) (.f64 (+.f64 1 (/.f64 (+.f64 N 1) N)) 1)))
(/.f64 (.f64 (+.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 6) -1) -1) (.f64 (+.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 4) (-.f64 1 (*.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2) -1))) (neg.f64 (+.f64 1 (/.f64 (+.f64 N 1) N)))))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 4) 1) 1) (.f64 (-.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2) -1) (+.f64 1 (/.f64 (+.f64 N 1) N))))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 4) 1) 1) (.f64 (-.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2) -1) (*.f64 (+.f64 1 (/.f64 (+.f64 N 1) N)) 1)))
(/.f64 (.f64 (-.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 4) 1) -1) (.f64 (-.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2) -1) (neg.f64 (+.f64 1 (/.f64 (+.f64 N 1) N)))))
(/.f64 (.f64 -1 (+.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 6) -1)) (.f64 (neg.f64 (+.f64 1 (/.f64 (+.f64 N 1) N))) (+.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 4) (-.f64 1 (*.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2) -1)))))
(/.f64 (.f64 -1 (-.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 4) 1)) (.f64 (neg.f64 (+.f64 1 (/.f64 (+.f64 N 1) N))) (-.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2) -1)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2) -1)) (neg.f64 (+.f64 1 (/.f64 (+.f64 N 1) N))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2) -1) 1)) (neg.f64 (+.f64 1 (/.f64 (+.f64 N 1) N))))
(pow.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2) -1) (+.f64 1 (/.f64 (+.f64 N 1) N))) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2) -1) (+.f64 1 (/.f64 (+.f64 N 1) N)))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2) -1) (+.f64 1 (/.f64 (+.f64 N 1) N))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2) -1) (+.f64 1 (/.f64 (+.f64 N 1) N)))) 2)
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2) -1) (+.f64 1 (/.f64 (+.f64 N 1) N))) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2) -1) (+.f64 1 (/.f64 (+.f64 N 1) N)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2) -1) (+.f64 1 (/.f64 (+.f64 N 1) N))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2) -1) (+.f64 1 (/.f64 (+.f64 N 1) N))) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2) -1) 3) (pow.f64 (/.f64 1 (+.f64 1 (/.f64 (+.f64 N 1) N))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 1 (/.f64 (+.f64 N 1) N))) 3) (pow.f64 (+.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2) -1) 3)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2) -1) 3) (pow.f64 (+.f64 1 (/.f64 (+.f64 N 1) N)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2) -1) (+.f64 1 (/.f64 (+.f64 N 1) N)))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2) -1) (+.f64 1 (/.f64 (+.f64 N 1) N)))))
(exp.f64 (-.f64 (log.f64 (+.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2) -1)) (log1p.f64 (/.f64 (+.f64 N 1) N))))
(exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2) -1)) (log1p.f64 (/.f64 (+.f64 N 1) N))) 1))
(+.f64 (/.f64 (+.f64 N 1) N) -1)
(-.f64 (/.f64 (+.f64 N 1) N) 1)
(*.f64 1 (+.f64 (/.f64 (+.f64 N 1) N) -1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1)) 2) (cbrt.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1)) (sqrt.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1)))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 3) -1) (+.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2) (-.f64 1 (*.f64 (/.f64 (+.f64 N 1) N) -1))))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 3) 1) (+.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2) (+.f64 1 (*.f64 (/.f64 (+.f64 N 1) N) 1))))
(pow.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1)) 2)
(pow.f64 (exp.f64 1) (log.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))) 2)) (cbrt.f64 (log.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1)))) (sqrt.f64 (log.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1) 3))
(expm1.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1)))
(exp.f64 (log.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1)) 1))
(+.f64 (/.f64 (+.f64 N 1) N) -1)
(-.f64 (/.f64 (+.f64 N 1) N) 1)
(*.f64 1 (+.f64 (/.f64 (+.f64 N 1) N) -1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1)) 2) (cbrt.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1)) (sqrt.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1)))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 3) -1) (+.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2) (-.f64 1 (*.f64 (/.f64 (+.f64 N 1) N) -1))))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 3) 1) (+.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2) (+.f64 1 (*.f64 (/.f64 (+.f64 N 1) N) 1))))
(pow.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1)) 2)
(pow.f64 (exp.f64 1) (log.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))) 2)) (cbrt.f64 (log.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1)))) (sqrt.f64 (log.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1) 3))
(expm1.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1)))
(fma.f64 1 (/.f64 (+.f64 N 1) N) -1)
(fma.f64 (+.f64 N 1) (/.f64 1 N) -1)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2) (cbrt.f64 (/.f64 (+.f64 N 1) N)) -1)
(fma.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)) (sqrt.f64 (/.f64 (+.f64 N 1) N)) -1)
(+.f64 (log1p.f64 N) (neg.f64 (log.f64 N)))
(+.f64 0 (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))) (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 0 (log.f64 (/.f64 N (+.f64 N 1))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1)
(-.f64 (log.f64 (neg.f64 (+.f64 N 1))) (log.f64 (neg.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)))))
(pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 1)
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(pow.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(log.f64 (/.f64 (+.f64 N 1) N))
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 3))
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 1))
(+.f64 0 (log.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1)) 2)) (log.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))) (log.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1)))) 1)
(*.f64 1 (log.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))) 2) (cbrt.f64 (log.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))) (sqrt.f64 (log.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))))
(pow.f64 (log.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1)) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1)) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1)) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))))
(log1p.f64 (-.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1) 1))
(exp.f64 (log.f64 (log.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))) 1))

simplify332.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1022×	`fma-neg`
664×	`exp-prod`
552×	`cube-prod`
484×	`*-commutative`
448×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	947	22087
1	2223	20828
2	6846	20808

Stop Event

1×	node limit

Counts

546 → 611

Calls

Call 1

Inputs
(/.f64 -9/32 (pow.f64 N 4))
(/.f64 (-.f64 (*.f64 3/8 N) 9/32) (pow.f64 N 4))
(/.f64 (-.f64 (.f64 N (+.f64 3/8 (.f64 -1/4 N))) 9/32) (pow.f64 N 4))
(/.f64 (-.f64 (.f64 N (+.f64 3/8 (.f64 N (-.f64 (*.f64 1/3 N) 1/4)))) 9/32) (pow.f64 N 4))
(/.f64 1/3 N)
(/.f64 (-.f64 1/3 (*.f64 1/4 (/.f64 1 N))) N)
(/.f64 (-.f64 (+.f64 1/3 (/.f64 3/8 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 N))) N)
(/.f64 (-.f64 (+.f64 1/3 (/.f64 3/8 (pow.f64 N 2))) (+.f64 (.f64 1/4 (/.f64 1 N)) (.f64 9/32 (/.f64 1 (pow.f64 N 3))))) N)
(/.f64 1/3 N)
(.f64 -1 (/.f64 (-.f64 (.f64 1/4 (/.f64 1 N)) 1/3) N))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (*.f64 3/8 (/.f64 1 N)) 1/4) N)) 1/3) N))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 9/32 (/.f64 1 N)) 3/8) N)) 1/4) N)) 1/3) N))
(/.f64 -9/32 (pow.f64 N 3))
(/.f64 (-.f64 (*.f64 3/8 N) 9/32) (pow.f64 N 3))
(/.f64 (-.f64 (.f64 N (+.f64 3/8 (.f64 -1/4 N))) 9/32) (pow.f64 N 3))
(/.f64 (-.f64 (.f64 N (+.f64 3/8 (.f64 N (-.f64 (*.f64 1/3 N) 1/4)))) 9/32) (pow.f64 N 3))
1/3
(-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))
(-.f64 (+.f64 1/3 (/.f64 3/8 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 N)))
(-.f64 (+.f64 1/3 (/.f64 3/8 (pow.f64 N 2))) (+.f64 (.f64 1/4 (/.f64 1 N)) (.f64 9/32 (/.f64 1 (pow.f64 N 3)))))
1/3
(-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))
(+.f64 1/3 (.f64 -1 (/.f64 (-.f64 1/4 (.f64 3/8 (/.f64 1 N))) N)))
(+.f64 1/3 (.f64 -1 (/.f64 (+.f64 1/4 (.f64 -1 (/.f64 (-.f64 3/8 (*.f64 9/32 (/.f64 1 N))) N))) N)))
(/.f64 -9/32 (pow.f64 N 2))
(/.f64 (-.f64 (*.f64 3/8 N) 9/32) (pow.f64 N 2))
(/.f64 (-.f64 (*.f64 3/8 N) 9/32) (pow.f64 N 2))
(/.f64 (-.f64 (*.f64 3/8 N) 9/32) (pow.f64 N 2))
(/.f64 3/8 N)
(/.f64 (-.f64 3/8 (*.f64 9/32 (/.f64 1 N))) N)
(/.f64 (-.f64 3/8 (*.f64 9/32 (/.f64 1 N))) N)
(/.f64 (-.f64 3/8 (*.f64 9/32 (/.f64 1 N))) N)
(/.f64 3/8 N)
(.f64 -1 (/.f64 (-.f64 (.f64 9/32 (/.f64 1 N)) 3/8) N))
(.f64 -1 (/.f64 (-.f64 (.f64 9/32 (/.f64 1 N)) 3/8) N))
(.f64 -1 (/.f64 (-.f64 (.f64 9/32 (/.f64 1 N)) 3/8) N))
(/.f64 -9/32 (pow.f64 N 5))
(/.f64 (-.f64 (*.f64 3/8 N) 9/32) (pow.f64 N 5))
(/.f64 (-.f64 (.f64 N (+.f64 3/8 (.f64 -1/4 N))) 9/32) (pow.f64 N 5))
(/.f64 (-.f64 (.f64 N (+.f64 3/8 (.f64 N (-.f64 (*.f64 1/3 N) 1/4)))) 9/32) (pow.f64 N 5))
(/.f64 -1/2 N)
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1
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(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 N)) (/.f64 1 (pow.f64 N 2))))
N
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(.f64 N (+.f64 1 (.f64 N (-.f64 (.f64 N (+.f64 4 (.f64 -8 N))) 2))))
1/2
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1/2
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(pow.f64 (log.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1)) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1)) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1)) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))))
(log1p.f64 (-.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1) 1))
(exp.f64 (log.f64 (log.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))) 1))

Outputs
(/.f64 -9/32 (pow.f64 N 4))
(/.f64 (-.f64 (*.f64 3/8 N) 9/32) (pow.f64 N 4))
(/.f64 (fma.f64 3/8 N -9/32) (pow.f64 N 4))
(/.f64 (fma.f64 N 3/8 -9/32) (pow.f64 N 4))
(/.f64 (-.f64 (.f64 N (+.f64 3/8 (.f64 -1/4 N))) 9/32) (pow.f64 N 4))
(/.f64 (fma.f64 N (+.f64 3/8 (*.f64 N -1/4)) -9/32) (pow.f64 N 4))
(/.f64 (fma.f64 N (fma.f64 N -1/4 3/8) -9/32) (pow.f64 N 4))
(/.f64 (-.f64 (.f64 N (+.f64 3/8 (.f64 N (-.f64 (*.f64 1/3 N) 1/4)))) 9/32) (pow.f64 N 4))
(/.f64 (fma.f64 N (+.f64 3/8 (*.f64 N (fma.f64 1/3 N -1/4))) -9/32) (pow.f64 N 4))
(/.f64 (fma.f64 N (fma.f64 N (fma.f64 N 1/3 -1/4) 3/8) -9/32) (pow.f64 N 4))
(/.f64 1/3 N)
(/.f64 (-.f64 1/3 (*.f64 1/4 (/.f64 1 N))) N)
(/.f64 (-.f64 1/3 (/.f64 1/4 N)) N)
(/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)
(/.f64 (-.f64 (+.f64 1/3 (/.f64 3/8 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 N))) N)
(/.f64 (+.f64 1/3 (-.f64 (/.f64 3/8 (pow.f64 N 2)) (/.f64 1/4 N))) N)
(/.f64 (+.f64 1/3 (/.f64 (+.f64 -1/4 (/.f64 3/8 N)) N)) N)
(/.f64 (-.f64 (+.f64 1/3 (/.f64 3/8 (pow.f64 N 2))) (+.f64 (.f64 1/4 (/.f64 1 N)) (.f64 9/32 (/.f64 1 (pow.f64 N 3))))) N)
(/.f64 (+.f64 1/3 (-.f64 (/.f64 3/8 (pow.f64 N 2)) (+.f64 (/.f64 1/4 N) (/.f64 9/32 (pow.f64 N 3))))) N)
(/.f64 (+.f64 1/3 (-.f64 (/.f64 (+.f64 -1/4 (/.f64 3/8 N)) N) (/.f64 9/32 (pow.f64 N 3)))) N)
(/.f64 1/3 N)
(.f64 -1 (/.f64 (-.f64 (.f64 1/4 (/.f64 1 N)) 1/3) N))
(/.f64 (-.f64 1/3 (/.f64 1/4 N)) N)
(/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (*.f64 3/8 (/.f64 1 N)) 1/4) N)) 1/3) N))
(neg.f64 (/.f64 (fma.f64 -1 (/.f64 (+.f64 (/.f64 3/8 N) -1/4) N) -1/3) N))
(/.f64 (-.f64 1/3 (/.f64 (+.f64 1/4 (/.f64 -3/8 N)) N)) N)
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 9/32 (/.f64 1 N)) 3/8) N)) 1/4) N)) 1/3) N))
(neg.f64 (/.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (+.f64 (/.f64 9/32 N) -3/8) N) -1/4) N) -1/3) N))
(/.f64 (-.f64 1/3 (/.f64 (+.f64 1/4 (/.f64 (-.f64 -3/8 (/.f64 -9/32 N)) N)) N)) N)
(/.f64 -9/32 (pow.f64 N 3))
(/.f64 (-.f64 (*.f64 3/8 N) 9/32) (pow.f64 N 3))
(/.f64 (fma.f64 3/8 N -9/32) (pow.f64 N 3))
(/.f64 (fma.f64 N 3/8 -9/32) (pow.f64 N 3))
(/.f64 (-.f64 (.f64 N (+.f64 3/8 (.f64 -1/4 N))) 9/32) (pow.f64 N 3))
(/.f64 (fma.f64 N (+.f64 3/8 (*.f64 N -1/4)) -9/32) (pow.f64 N 3))
(/.f64 (fma.f64 N (fma.f64 N -1/4 3/8) -9/32) (pow.f64 N 3))
(/.f64 (-.f64 (.f64 N (+.f64 3/8 (.f64 N (-.f64 (*.f64 1/3 N) 1/4)))) 9/32) (pow.f64 N 3))
(/.f64 (fma.f64 N (+.f64 3/8 (*.f64 N (fma.f64 1/3 N -1/4))) -9/32) (pow.f64 N 3))
(/.f64 (fma.f64 N (fma.f64 N (fma.f64 N 1/3 -1/4) 3/8) -9/32) (pow.f64 N 3))
1/3
(-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))
(-.f64 1/3 (/.f64 1/4 N))
(+.f64 1/3 (/.f64 -1/4 N))
(-.f64 (+.f64 1/3 (/.f64 3/8 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 N)))
(+.f64 1/3 (-.f64 (/.f64 3/8 (pow.f64 N 2)) (/.f64 1/4 N)))
(+.f64 1/3 (/.f64 (+.f64 -1/4 (/.f64 3/8 N)) N))
(-.f64 (+.f64 1/3 (/.f64 3/8 (pow.f64 N 2))) (+.f64 (.f64 1/4 (/.f64 1 N)) (.f64 9/32 (/.f64 1 (pow.f64 N 3)))))
(+.f64 1/3 (-.f64 (/.f64 3/8 (pow.f64 N 2)) (+.f64 (/.f64 1/4 N) (/.f64 9/32 (pow.f64 N 3)))))
(+.f64 1/3 (-.f64 (/.f64 (+.f64 -1/4 (/.f64 3/8 N)) N) (/.f64 9/32 (pow.f64 N 3))))
1/3
(-.f64 1/3 (*.f64 1/4 (/.f64 1 N)))
(-.f64 1/3 (/.f64 1/4 N))
(+.f64 1/3 (/.f64 -1/4 N))
(+.f64 1/3 (.f64 -1 (/.f64 (-.f64 1/4 (.f64 3/8 (/.f64 1 N))) N)))
(+.f64 1/3 (neg.f64 (/.f64 (-.f64 1/4 (/.f64 3/8 N)) N)))
(-.f64 1/3 (/.f64 (+.f64 1/4 (/.f64 -3/8 N)) N))
(+.f64 1/3 (.f64 -1 (/.f64 (+.f64 1/4 (.f64 -1 (/.f64 (-.f64 3/8 (*.f64 9/32 (/.f64 1 N))) N))) N)))
(+.f64 1/3 (neg.f64 (/.f64 (+.f64 1/4 (neg.f64 (/.f64 (-.f64 3/8 (/.f64 9/32 N)) N))) N)))
(-.f64 1/3 (/.f64 (+.f64 1/4 (/.f64 (-.f64 -3/8 (/.f64 -9/32 N)) N)) N))
(/.f64 -9/32 (pow.f64 N 2))
(/.f64 (-.f64 (*.f64 3/8 N) 9/32) (pow.f64 N 2))
(/.f64 (fma.f64 3/8 N -9/32) (pow.f64 N 2))
(/.f64 (fma.f64 N 3/8 -9/32) (pow.f64 N 2))
(/.f64 (-.f64 (*.f64 3/8 N) 9/32) (pow.f64 N 2))
(/.f64 (fma.f64 3/8 N -9/32) (pow.f64 N 2))
(/.f64 (fma.f64 N 3/8 -9/32) (pow.f64 N 2))
(/.f64 (-.f64 (*.f64 3/8 N) 9/32) (pow.f64 N 2))
(/.f64 (fma.f64 3/8 N -9/32) (pow.f64 N 2))
(/.f64 (fma.f64 N 3/8 -9/32) (pow.f64 N 2))
(/.f64 3/8 N)
(/.f64 (-.f64 3/8 (*.f64 9/32 (/.f64 1 N))) N)
(/.f64 (-.f64 3/8 (/.f64 9/32 N)) N)
(/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N)
(/.f64 (-.f64 3/8 (*.f64 9/32 (/.f64 1 N))) N)
(/.f64 (-.f64 3/8 (/.f64 9/32 N)) N)
(/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N)
(/.f64 (-.f64 3/8 (*.f64 9/32 (/.f64 1 N))) N)
(/.f64 (-.f64 3/8 (/.f64 9/32 N)) N)
(/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N)
(/.f64 3/8 N)
(.f64 -1 (/.f64 (-.f64 (.f64 9/32 (/.f64 1 N)) 3/8) N))
(/.f64 (-.f64 3/8 (/.f64 9/32 N)) N)
(/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N)
(.f64 -1 (/.f64 (-.f64 (.f64 9/32 (/.f64 1 N)) 3/8) N))
(/.f64 (-.f64 3/8 (/.f64 9/32 N)) N)
(/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N)
(.f64 -1 (/.f64 (-.f64 (.f64 9/32 (/.f64 1 N)) 3/8) N))
(/.f64 (-.f64 3/8 (/.f64 9/32 N)) N)
(/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N)
(/.f64 -9/32 (pow.f64 N 5))
(/.f64 (-.f64 (*.f64 3/8 N) 9/32) (pow.f64 N 5))
(/.f64 (fma.f64 3/8 N -9/32) (pow.f64 N 5))
(/.f64 (fma.f64 N 3/8 -9/32) (pow.f64 N 5))
(/.f64 (-.f64 (.f64 N (+.f64 3/8 (.f64 -1/4 N))) 9/32) (pow.f64 N 5))
(/.f64 (fma.f64 N (+.f64 3/8 (*.f64 N -1/4)) -9/32) (pow.f64 N 5))
(/.f64 (fma.f64 N (fma.f64 N -1/4 3/8) -9/32) (pow.f64 N 5))
(/.f64 (-.f64 (.f64 N (+.f64 3/8 (.f64 N (-.f64 (*.f64 1/3 N) 1/4)))) 9/32) (pow.f64 N 5))
(/.f64 (fma.f64 N (+.f64 3/8 (*.f64 N (fma.f64 1/3 N -1/4))) -9/32) (pow.f64 N 5))
(/.f64 (fma.f64 N (fma.f64 N (fma.f64 N 1/3 -1/4) 3/8) -9/32) (pow.f64 N 5))
(/.f64 -1/2 N)
(/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)
(/.f64 (+.f64 (/.f64 1/3 N) -1/2) N)
(/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)
(/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) (+.f64 1/2 (/.f64 1/4 (pow.f64 N 2)))) N)
(/.f64 (-.f64 (/.f64 1/3 N) (+.f64 1/2 (/.f64 1/4 (pow.f64 N 2)))) N)
(/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) -1/2) N)
(/.f64 (-.f64 (+.f64 (.f64 1/3 (/.f64 1 N)) (.f64 3/8 (/.f64 1 (pow.f64 N 3)))) (+.f64 1/2 (/.f64 1/4 (pow.f64 N 2)))) N)
(/.f64 (+.f64 (/.f64 1/3 N) (-.f64 (/.f64 3/8 (pow.f64 N 3)) (+.f64 1/2 (/.f64 1/4 (pow.f64 N 2))))) N)
(/.f64 (+.f64 (/.f64 3/8 (pow.f64 N 3)) (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) -1/2)) N)
(/.f64 -1/2 N)
(.f64 -1 (/.f64 (-.f64 1/2 (.f64 1/3 (/.f64 1 N))) N))
(neg.f64 (/.f64 (-.f64 1/2 (/.f64 1/3 N)) N))
(/.f64 (+.f64 1/2 (/.f64 -1/3 N)) (neg.f64 N))
(.f64 -1 (/.f64 (+.f64 1/2 (.f64 -1 (/.f64 (-.f64 1/3 (*.f64 1/4 (/.f64 1 N))) N))) N))
(neg.f64 (/.f64 (+.f64 1/2 (neg.f64 (/.f64 (-.f64 1/3 (/.f64 1/4 N)) N))) N))
(/.f64 (-.f64 1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) (neg.f64 N))
(.f64 -1 (/.f64 (+.f64 1/2 (.f64 -1 (/.f64 (+.f64 1/3 (.f64 -1 (/.f64 (-.f64 1/4 (.f64 3/8 (/.f64 1 N))) N))) N))) N))
(neg.f64 (/.f64 (+.f64 1/2 (neg.f64 (/.f64 (+.f64 1/3 (neg.f64 (/.f64 (-.f64 1/4 (/.f64 3/8 N)) N))) N))) N))
(/.f64 (-.f64 1/2 (/.f64 (-.f64 1/3 (/.f64 (+.f64 1/4 (/.f64 -3/8 N)) N)) N)) (neg.f64 N))
(/.f64 -1/6 (pow.f64 N 2))
(/.f64 (-.f64 N 1/6) (pow.f64 N 2))
(/.f64 (+.f64 N -1/6) (pow.f64 N 2))
(/.f64 (-.f64 N 1/6) (pow.f64 N 2))
(/.f64 (+.f64 N -1/6) (pow.f64 N 2))
(/.f64 (-.f64 N 1/6) (pow.f64 N 2))
(/.f64 (+.f64 N -1/6) (pow.f64 N 2))
(/.f64 1 N)
(/.f64 (-.f64 1 (*.f64 1/6 (/.f64 1 N))) N)
(/.f64 (-.f64 1 (/.f64 1/6 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/6 N)) N)
(/.f64 (-.f64 1 (*.f64 1/6 (/.f64 1 N))) N)
(/.f64 (-.f64 1 (/.f64 1/6 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/6 N)) N)
(/.f64 (-.f64 1 (*.f64 1/6 (/.f64 1 N))) N)
(/.f64 (-.f64 1 (/.f64 1/6 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/6 N)) N)
(/.f64 1 N)
(.f64 -1 (/.f64 (-.f64 (.f64 1/6 (/.f64 1 N)) 1) N))
(/.f64 (-.f64 1 (/.f64 1/6 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/6 N)) N)
(.f64 -1 (/.f64 (-.f64 (.f64 1/6 (/.f64 1 N)) 1) N))
(/.f64 (-.f64 1 (/.f64 1/6 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/6 N)) N)
(.f64 -1 (/.f64 (-.f64 (.f64 1/6 (/.f64 1 N)) 1) N))
(/.f64 (-.f64 1 (/.f64 1/6 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/6 N)) N)
(*.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))))
(fma.f64 N (fma.f64 N -1/2 1) (neg.f64 (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)))))
(fma.f64 N (fma.f64 N (fma.f64 N 1/3 -1/2) 1) (neg.f64 (log.f64 N)))
(/.f64 1 N)
(/.f64 (-.f64 1 (*.f64 1/2 (/.f64 1 N))) N)
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (*.f64 1/2 (/.f64 1 N))) N)
(/.f64 (+.f64 1 (-.f64 (/.f64 1/3 (pow.f64 N 2)) (/.f64 1/2 N))) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (+.f64 (.f64 1/2 (/.f64 1 N)) (.f64 1/4 (/.f64 1 (pow.f64 N 3))))) N)
(/.f64 (-.f64 (+.f64 1 (/.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 (+.f64 1/3 (/.f64 -1/4 N)) N) -1/2) N)) N)
(/.f64 1 N)
(.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 N)) 1) N))
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (+.f64 1 (/.f64 -1/2 N)) N)
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 N)) 1/2) N)) 1) N))
(neg.f64 (/.f64 (fma.f64 -1 (/.f64 (+.f64 (/.f64 1/3 N) -1/2) N) -1) N))
(/.f64 (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 -1/3 N)) N)) (neg.f64 N))
(.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/4 (/.f64 1 N)) 1/3) N)) 1/2) N)) 1) N))
(neg.f64 (/.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (+.f64 (/.f64 1/4 N) -1/3) N) -1/2) N) -1) N))
(/.f64 (+.f64 -1 (/.f64 (-.f64 1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) (neg.f64 N))
(/.f64 1 (pow.f64 N 2))
(/.f64 (+.f64 1 (*.f64 2 N)) (pow.f64 N 2))
(/.f64 (+.f64 1 (*.f64 N 2)) (pow.f64 N 2))
(/.f64 (fma.f64 N 2 1) (pow.f64 N 2))
(/.f64 (+.f64 1 (*.f64 2 N)) (pow.f64 N 2))
(/.f64 (+.f64 1 (*.f64 N 2)) (pow.f64 N 2))
(/.f64 (fma.f64 N 2 1) (pow.f64 N 2))
(/.f64 (+.f64 1 (*.f64 2 N)) (pow.f64 N 2))
(/.f64 (+.f64 1 (*.f64 N 2)) (pow.f64 N 2))
(/.f64 (fma.f64 N 2 1) (pow.f64 N 2))
(/.f64 2 N)
(/.f64 (+.f64 2 (/.f64 1 N)) N)
(/.f64 (+.f64 (/.f64 1 N) 2) N)
(/.f64 (+.f64 2 (/.f64 1 N)) N)
(/.f64 (+.f64 (/.f64 1 N) 2) N)
(/.f64 (+.f64 2 (/.f64 1 N)) N)
(/.f64 (+.f64 (/.f64 1 N) 2) N)
(/.f64 2 N)
(/.f64 (+.f64 2 (/.f64 1 N)) N)
(/.f64 (+.f64 (/.f64 1 N) 2) N)
(/.f64 (+.f64 2 (/.f64 1 N)) N)
(/.f64 (+.f64 (/.f64 1 N) 2) N)
(/.f64 (+.f64 2 (/.f64 1 N)) N)
(/.f64 (+.f64 (/.f64 1 N) 2) N)
(/.f64 1 (pow.f64 N 2))
(/.f64 (+.f64 1 (*.f64 2 N)) (pow.f64 N 2))
(/.f64 (+.f64 1 (*.f64 N 2)) (pow.f64 N 2))
(/.f64 (fma.f64 N 2 1) (pow.f64 N 2))
(/.f64 (+.f64 1 (*.f64 N (+.f64 2 N))) (pow.f64 N 2))
(/.f64 (+.f64 1 (*.f64 N (+.f64 N 2))) (pow.f64 N 2))
(/.f64 (fma.f64 N (+.f64 N 2) 1) (pow.f64 N 2))
(/.f64 (+.f64 1 (*.f64 N (+.f64 2 N))) (pow.f64 N 2))
(/.f64 (+.f64 1 (*.f64 N (+.f64 N 2))) (pow.f64 N 2))
(/.f64 (fma.f64 N (+.f64 N 2) 1) (pow.f64 N 2))
1
(+.f64 1 (*.f64 2 (/.f64 1 N)))
(+.f64 1 (/.f64 2 N))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 N)) (/.f64 1 (pow.f64 N 2))))
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 2 N)))
(+.f64 (/.f64 2 N) (+.f64 1 (/.f64 1 (pow.f64 N 2))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 N)) (/.f64 1 (pow.f64 N 2))))
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 2 N)))
(+.f64 (/.f64 2 N) (+.f64 1 (/.f64 1 (pow.f64 N 2))))
1
(+.f64 1 (*.f64 2 (/.f64 1 N)))
(+.f64 1 (/.f64 2 N))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 N)) (/.f64 1 (pow.f64 N 2))))
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 2 N)))
(+.f64 (/.f64 2 N) (+.f64 1 (/.f64 1 (pow.f64 N 2))))
(+.f64 1 (+.f64 (*.f64 2 (/.f64 1 N)) (/.f64 1 (pow.f64 N 2))))
(+.f64 1 (+.f64 (/.f64 1 (pow.f64 N 2)) (/.f64 2 N)))
(+.f64 (/.f64 2 N) (+.f64 1 (/.f64 1 (pow.f64 N 2))))
N
(.f64 N (+.f64 1 (.f64 -2 N)))
(.f64 N (+.f64 1 (.f64 N -2)))
(*.f64 N (fma.f64 N -2 1))
(.f64 N (+.f64 1 (.f64 N (-.f64 (*.f64 4 N) 2))))
(.f64 N (+.f64 1 (.f64 N (fma.f64 4 N -2))))
(*.f64 N (fma.f64 N (fma.f64 N 4 -2) 1))
(.f64 N (+.f64 1 (.f64 N (-.f64 (.f64 N (+.f64 4 (.f64 -8 N))) 2))))
(.f64 N (+.f64 1 (.f64 N (fma.f64 N (+.f64 4 (*.f64 N -8)) -2))))
(*.f64 N (fma.f64 N (fma.f64 N (fma.f64 N -8 4) -2) 1))
1/2
(-.f64 1/2 (*.f64 1/4 (/.f64 1 N)))
(-.f64 1/2 (/.f64 1/4 N))
(+.f64 1/2 (/.f64 -1/4 N))
(-.f64 (+.f64 1/2 (/.f64 1/8 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 N)))
(-.f64 (+.f64 1/2 (/.f64 1/8 (pow.f64 N 2))) (/.f64 1/4 N))
(+.f64 1/2 (+.f64 (/.f64 1/8 (pow.f64 N 2)) (/.f64 -1/4 N)))
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1/2
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(pow.f64 (exp.f64 1) (log.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1)))
(+.f64 -1 (/.f64 (+.f64 N 1) N))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))) 2)) (cbrt.f64 (log.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))))
(+.f64 -1 (/.f64 (+.f64 N 1) N))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1)))) (sqrt.f64 (log.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))))
(+.f64 -1 (/.f64 (+.f64 N 1) N))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1) 2))
(sqrt.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 N 1) N)) 2))
(fabs.f64 (+.f64 -1 (/.f64 (+.f64 N 1) N)))
(log.f64 (exp.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1)))
(+.f64 -1 (/.f64 (+.f64 N 1) N))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))))
(+.f64 -1 (/.f64 (+.f64 N 1) N))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1) 3))
(+.f64 -1 (/.f64 (+.f64 N 1) N))
(expm1.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(+.f64 -1 (/.f64 (+.f64 N 1) N))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1)))
(+.f64 -1 (/.f64 (+.f64 N 1) N))
(fma.f64 1 (/.f64 (+.f64 N 1) N) -1)
(+.f64 -1 (/.f64 (+.f64 N 1) N))
(fma.f64 (+.f64 N 1) (/.f64 1 N) -1)
(+.f64 -1 (/.f64 (+.f64 N 1) N))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2) (cbrt.f64 (/.f64 (+.f64 N 1) N)) -1)
(+.f64 -1 (/.f64 (+.f64 N 1) N))
(fma.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N)) (sqrt.f64 (/.f64 (+.f64 N 1) N)) -1)
(+.f64 -1 (/.f64 (+.f64 N 1) N))
(+.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 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 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(-.f64 (log1p.f64 N) (log.f64 N))
(-.f64 0 (log.f64 (/.f64 N (+.f64 N 1))))
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(log.f64 (/.f64 (+.f64 N 1) N))
(-.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 (neg.f64 (+.f64 N 1))) (log.f64 (neg.f64 N)))
(-.f64 (log.f64 (-.f64 -1 N)) (log.f64 (neg.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))))
(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 N 1))))
(log.f64 (/.f64 (+.f64 N 1) N))
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 2))
(fabs.f64 (-.f64 (log1p.f64 N) (log.f64 N)))
(log.f64 (/.f64 (+.f64 N 1) N))
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(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))))
(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 0 (log.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1)))
(log.f64 (+.f64 -1 (/.f64 (+.f64 N 1) N)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1)) 2)) (log.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 (+.f64 N 1) N))) 2)) (log.f64 (cbrt.f64 (+.f64 -1 (/.f64 (+.f64 N 1) N)))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))) (log.f64 (sqrt.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))))
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 -1 (/.f64 (+.f64 N 1) N)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1)))) 1)
(expm1.f64 (log1p.f64 (log.f64 (+.f64 -1 (/.f64 (+.f64 N 1) N)))))
(*.f64 1 (log.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1)))
(log.f64 (+.f64 -1 (/.f64 (+.f64 N 1) N)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))) 2) (cbrt.f64 (log.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))))
(log.f64 (+.f64 -1 (/.f64 (+.f64 N 1) N)))
(*.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))) (sqrt.f64 (log.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))))
(log.f64 (+.f64 -1 (/.f64 (+.f64 N 1) N)))
(pow.f64 (log.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1)) 1)
(log.f64 (+.f64 -1 (/.f64 (+.f64 N 1) N)))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))) 3)
(log.f64 (+.f64 -1 (/.f64 (+.f64 N 1) N)))
(pow.f64 (pow.f64 (log.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1)) 3) 1/3)
(log.f64 (+.f64 -1 (/.f64 (+.f64 N 1) N)))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))) 2)
(log.f64 (+.f64 -1 (/.f64 (+.f64 N 1) N)))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1)) 2))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 -1 (/.f64 (+.f64 N 1) N))) 2))
(fabs.f64 (log.f64 (+.f64 -1 (/.f64 (+.f64 N 1) N))))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1)) 3))
(log.f64 (+.f64 -1 (/.f64 (+.f64 N 1) N)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 -1 (/.f64 (+.f64 N 1) N)))))
(log1p.f64 (-.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1) 1))
(log.f64 (+.f64 -1 (/.f64 (+.f64 N 1) N)))
(exp.f64 (log.f64 (log.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))))
(log.f64 (+.f64 -1 (/.f64 (+.f64 N 1) N)))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))) 1))
(log.f64 (+.f64 -1 (/.f64 (+.f64 N 1) N)))

eval446.0ms (4.4%)

Compiler: Compiled 17311 to 12994 computations (24.9% saved)

prune164.0ms (1.6%)

Pruning

23 alts after pruning (17 fresh and 6 done)

	Pruned	Kept	Total
New	775	7	782
Fresh	20	10	30
Picked	3	2	5
Done	2	4	6
Total	800	23	823

Accuracy

100.0%

Counts

823 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	84.6%	(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (neg.f64 (/.f64 (/.f64 1/6 N) N)))
✓	95.1%	(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (/.f64 1/2 N)) N)
	95.9%	(/.f64 (-.f64 (.f64 N (+.f64 1/3 (.f64 N (-.f64 N 1/2)))) 1/4) (pow.f64 N 4))
	92.1%	(/.f64 (-.f64 N 1/2) (pow.f64 N 2))
	95.1%	(/.f64 (-.f64 1 (/.f64 (+.f64 1/2 (/.f64 -1/3 N)) N)) N)
	85.5%	(/.f64 (-.f64 1 (/.f64 (+.f64 1/6 (/.f64 2/9 N)) N)) N)
✓	92.3%	(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
✓	85.4%	(/.f64 (-.f64 1 (/.f64 1/6 N)) N)
	92.4%	(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (/.f64 1/4 N) N)) N)) (neg.f64 N))
	96.4%	(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (-.f64 1/3 (/.f64 (+.f64 1/4 (/.f64 -3/8 N)) N)) N)) N)) (neg.f64 N))
✓	96.4%	(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)) N)) N)) (neg.f64 N))
	96.4%	(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1 (+.f64 4/3 (/.f64 (+.f64 -1/4 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N)) N))) N)) N)) (neg.f64 N))
	96.4%	(/.f64 (+.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N) 1) N)
	94.7%	(/.f64 (+.f64 1/3 (*.f64 N (-.f64 N 1/2))) (pow.f64 N 3))
✓	85.1%	(/.f64 1 N)
	92.3%	(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))
✓	22.8%	(-.f64 (log1p.f64 N) (log.f64 N))
	92.3%	(*.f64 (-.f64 1 (/.f64 1/2 N)) (/.f64 1 N))
	26.0%	(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
	99.7%	(log1p.f64 (*.f64 (/.f64 (+.f64 (/.f64 1 N) 2) N) (/.f64 1 (+.f64 (/.f64 (+.f64 N 1) N) 1))))
	99.4%	(log1p.f64 (.f64 (/.f64 (+.f64 1 (.f64 N 2)) (pow.f64 N 2)) (/.f64 1 (+.f64 (/.f64 (+.f64 N 1) N) 1))))
	95.1%	(log1p.f64 (exp.f64 (log.f64 (/.f64 1 N))))
	25.3%	(log.f64 (+.f64 1 (/.f64 1 N)))

Compiler

Compiled 1214 to 834 computations (31.3% saved)

regimes41.0ms (0.4%)

Counts

62 → 1

Calls

Call 1

Inputs
(/.f64 1 N)
(/.f64 (-.f64 1 (/.f64 1/6 N)) N)
(/.f64 (-.f64 1 (/.f64 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 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
(/.f64 (-.f64 1 (/.f64 (+.f64 1/6 (/.f64 2/9 N)) N)) N)
(/.f64 (-.f64 1 (/.f64 (+.f64 1/2 (/.f64 -1/3 N)) N)) N)
(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (/.f64 1/4 N) N)) N)) (neg.f64 N))
(/.f64 (+.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N) 1) N)
(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) (neg.f64 N))
(*.f64 (/.f64 -1 N) (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)))
(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 3/8 N) -1/4) N)) N)) N)) (neg.f64 N))
(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (-.f64 1/3 (/.f64 (+.f64 1/4 (/.f64 -3/8 N)) N)) N)) N)) (neg.f64 N))
(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)) N)) N)) (neg.f64 N))
(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1 (+.f64 4/3 (/.f64 (+.f64 -1/4 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N)) N))) N)) N)) (neg.f64 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(log.f64 (/.f64 (+.f64 N 1) N))
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(/.f64 (-.f64 N 1/2) (pow.f64 N 2))
(log1p.f64 (-.f64 (+.f64 1 (/.f64 1 N)) 1))
(log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1))
(/.f64 (+.f64 1/3 (*.f64 N (-.f64 N 1/2))) (pow.f64 N 3))
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (/.f64 1/2 N)) N)
(/.f64 (-.f64 (.f64 N (+.f64 1/3 (.f64 N (-.f64 N 1/2)))) 1/4) (pow.f64 N 4))
(log1p.f64 (*.f64 (/.f64 (+.f64 (/.f64 1 N) 2) N) (/.f64 1 (+.f64 (/.f64 (+.f64 N 1) N) 1))))
(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (/.f64 (+.f64 -1/9 (/.f64 -1/16 (pow.f64 N 2))) (+.f64 (/.f64 -1/4 N) -1/3)) N)) N)) (neg.f64 N))
(-.f64 (log1p.f64 N) (log.f64 N))
(pow.f64 (sqrt.f64 (/.f64 1 N)) 2)
(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (+.f64 N 1) N))))
(log1p.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 N 1) N) 2)) (-.f64 -1 (/.f64 (+.f64 N 1) N))))
(log1p.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2) -1) (/.f64 1 (+.f64 (/.f64 (+.f64 N 1) N) 1))))
(log1p.f64 (.f64 (/.f64 (+.f64 1 (.f64 N 2)) (pow.f64 N 2)) (/.f64 1 (+.f64 (/.f64 (+.f64 N 1) N) 1))))
(log1p.f64 (/.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 N 1) N) 1) (+.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2) -1))))
(log1p.f64 (exp.f64 (log.f64 (/.f64 1 N))))
(log1p.f64 (exp.f64 (log.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))))
(log1p.f64 (log.f64 (exp.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1))))
(log1p.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1)) 3))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (+.f64 (/.f64 (+.f64 N 1) N) -1)))) 1)
(log1p.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (+.f64 N 1) N) 3)) (-.f64 (-.f64 -1 (/.f64 (+.f64 N 1) N)) (pow.f64 (/.f64 (+.f64 N 1) N) 2))))
(log1p.f64 (/.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2) (+.f64 1 (/.f64 (+.f64 N 1) N))) (+.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 3) -1))))
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 3)
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 2)
(exp.f64 (.f64 (.f64 3 (log.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 1/3))
(log1p.f64 (exp.f64 (log.f64 (fma.f64 (+.f64 N 1) (/.f64 1 N) -1))))
(fma.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)) (neg.f64 (/.f64 (/.f64 1/6 N) N)))
(log1p.f64 (exp.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 N 1) N) 2) 1) (-.f64 (/.f64 (+.f64 N 1) N) -1)))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) 2) (/.f64 (+.f64 1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 (/.f64 -1/4 N) 1/3) N)) N)) N))) (pow.f64 (cbrt.f64 N) 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 N 1) N))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N))) 2) (pow.f64 (cbrt.f64 N) 2)) (cbrt.f64 (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N) 1/2) N)) N)))
(fma.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log1p.f64 N)) (neg.f64 (log.f64 N)))
(pow.f64 (-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))) 1) 2)
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 N) (log.f64 N)) 5/2)) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))) 8)))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (cbrt.f64 (pow.f64 (log.f64 N) 3/2))) (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N)))) 2) 3) (cbrt.f64 (-.f64 (log1p.f64 N) (log.f64 N))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (+.f64 (pow.f64 (log1p.f64 N) 2) (*.f64 (log.f64 N) (+.f64 (log.f64 N) (log1p.f64 N)))))
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))) (exp.f64 (log.f64 (-.f64 (sqrt.f64 (log1p.f64 N)) (sqrt.f64 (log.f64 N))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 N) 3) (pow.f64 (log.f64 N) 3)) (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 (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))))))

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

Calls

2 calls:

29.0ms	N
8.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Results

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

Compiler

Compiled 10 to 7 computations (30% saved)

regimes41.0ms (0.4%)

Counts

25 → 2

Calls

Call 1

Inputs
(/.f64 1 N)
(/.f64 (-.f64 1 (/.f64 1/6 N)) N)
(/.f64 (-.f64 1 (/.f64 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 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
(/.f64 (-.f64 1 (/.f64 (+.f64 1/6 (/.f64 2/9 N)) N)) N)
(/.f64 (-.f64 1 (/.f64 (+.f64 1/2 (/.f64 -1/3 N)) N)) N)
(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (/.f64 1/4 N) N)) N)) (neg.f64 N))
(/.f64 (+.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N) 1) N)
(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) (neg.f64 N))
(*.f64 (/.f64 -1 N) (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)))
(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 3/8 N) -1/4) N)) N)) N)) (neg.f64 N))
(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (-.f64 1/3 (/.f64 (+.f64 1/4 (/.f64 -3/8 N)) N)) N)) N)) (neg.f64 N))
(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)) N)) N)) (neg.f64 N))
(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1 (+.f64 4/3 (/.f64 (+.f64 -1/4 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N)) N))) N)) N)) (neg.f64 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(log.f64 (/.f64 (+.f64 N 1) N))
(neg.f64 (log.f64 (/.f64 N (+.f64 N 1))))
(/.f64 (-.f64 N 1/2) (pow.f64 N 2))
(log1p.f64 (-.f64 (+.f64 1 (/.f64 1 N)) 1))
(log1p.f64 (-.f64 (/.f64 (+.f64 N 1) N) 1))
(/.f64 (+.f64 1/3 (*.f64 N (-.f64 N 1/2))) (pow.f64 N 3))
(/.f64 (-.f64 (+.f64 1 (/.f64 1/3 (pow.f64 N 2))) (/.f64 1/2 N)) N)
(/.f64 (-.f64 (.f64 N (+.f64 1/3 (.f64 N (-.f64 N 1/2)))) 1/4) (pow.f64 N 4))

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

Calls

1 calls:

39.0ms

Results

Accuracy	Segments	Branch
99.4%	2	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes22.0ms (0.2%)

Counts

18 → 2

Calls

Call 1

Inputs
(/.f64 1 N)
(/.f64 (-.f64 1 (/.f64 1/6 N)) N)
(/.f64 (-.f64 1 (/.f64 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 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
(/.f64 (-.f64 1 (/.f64 (+.f64 1/6 (/.f64 2/9 N)) N)) N)
(/.f64 (-.f64 1 (/.f64 (+.f64 1/2 (/.f64 -1/3 N)) N)) N)
(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (/.f64 1/4 N) N)) N)) (neg.f64 N))
(/.f64 (+.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N) 1) N)
(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) (neg.f64 N))
(*.f64 (/.f64 -1 N) (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)))
(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 3/8 N) -1/4) N)) N)) N)) (neg.f64 N))
(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (-.f64 1/3 (/.f64 (+.f64 1/4 (/.f64 -3/8 N)) N)) N)) N)) (neg.f64 N))
(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)) N)) N)) (neg.f64 N))
(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1 (+.f64 4/3 (/.f64 (+.f64 -1/4 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N)) N))) N)) N)) (neg.f64 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(log.f64 (/.f64 (+.f64 N 1) N))

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

Calls

1 calls:

20.0ms

Results

Accuracy	Segments	Branch
99.4%	2	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes11.0ms (0.1%)

Counts

16 → 1

Calls

Call 1

Inputs
(/.f64 1 N)
(/.f64 (-.f64 1 (/.f64 1/6 N)) N)
(/.f64 (-.f64 1 (/.f64 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 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
(/.f64 (-.f64 1 (/.f64 (+.f64 1/6 (/.f64 2/9 N)) N)) N)
(/.f64 (-.f64 1 (/.f64 (+.f64 1/2 (/.f64 -1/3 N)) N)) N)
(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (/.f64 1/4 N) N)) N)) (neg.f64 N))
(/.f64 (+.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N) 1) N)
(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) (neg.f64 N))
(*.f64 (/.f64 -1 N) (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)))
(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 3/8 N) -1/4) N)) N)) N)) (neg.f64 N))
(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (-.f64 1/3 (/.f64 (+.f64 1/4 (/.f64 -3/8 N)) N)) N)) N)) (neg.f64 N))
(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)) N)) N)) (neg.f64 N))
(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 -1 (+.f64 4/3 (/.f64 (+.f64 -1/4 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N)) N))) N)) N)) (neg.f64 N))

Outputs
(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)) N)) N)) (neg.f64 N))

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
96.4%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes10.0ms (0.1%)

Counts

14 → 1

Calls

Call 1

Inputs
(/.f64 1 N)
(/.f64 (-.f64 1 (/.f64 1/6 N)) N)
(/.f64 (-.f64 1 (/.f64 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 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
(/.f64 (-.f64 1 (/.f64 (+.f64 1/6 (/.f64 2/9 N)) N)) N)
(/.f64 (-.f64 1 (/.f64 (+.f64 1/2 (/.f64 -1/3 N)) N)) N)
(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (/.f64 1/4 N) N)) N)) (neg.f64 N))
(/.f64 (+.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N) 1) N)
(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) (neg.f64 N))
(*.f64 (/.f64 -1 N) (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)))
(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 3/8 N) -1/4) N)) N)) N)) (neg.f64 N))
(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (-.f64 1/3 (/.f64 (+.f64 1/4 (/.f64 -3/8 N)) N)) N)) N)) (neg.f64 N))

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
96.4%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

Inputs
(/.f64 1 N)
(/.f64 (-.f64 1 (/.f64 1/6 N)) N)
(/.f64 (-.f64 1 (/.f64 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 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
(/.f64 (-.f64 1 (/.f64 (+.f64 1/6 (/.f64 2/9 N)) N)) N)
(/.f64 (-.f64 1 (/.f64 (+.f64 1/2 (/.f64 -1/3 N)) N)) N)
(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (/.f64 1/4 N) N)) N)) (neg.f64 N))

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
95.1%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

Inputs
(/.f64 1 N)
(/.f64 (-.f64 1 (/.f64 1/6 N)) N)
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(*.f64 (-.f64 1 (/.f64 1/2 N)) (/.f64 1 N))
(-.f64 (/.f64 1 N) (/.f64 (/.f64 1/2 N) N))

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
92.3%	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 1/6 N)) N)

Outputs
(/.f64 (-.f64 1 (/.f64 1/6 N)) N)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
85.4%	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
85.1%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch7.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	992.8701704941241	1425.5582597115233

Results

6.0ms	47×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 90 to 69 computations (23.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

Operation ival-log, time spent: 2.0ms, 87.0% of total-time

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

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

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

bsearch8.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	992.8701704941241	1425.5582597115233

Results

7.0ms	47×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 87 to 69 computations (20.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

Operation ival-log, time spent: 3.0ms, 94.0% of total-time

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

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

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

simplify62.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

352×	`unsub-neg`
352×	`distribute-lft-neg-in`
240×	`neg-mul-1`
228×	`distribute-neg-in`
204×	`neg-sub0`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	69	490
1	100	490
2	126	490
3	152	486
4	192	486
5	242	486
6	347	486
7	542	486
8	826	486
9	1145	486
10	1336	486
11	1430	486
12	1464	486
13	1469	486
14	1470	486

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(log1p.f64 (*.f64 (/.f64 (+.f64 (/.f64 1 N) 2) N) (/.f64 1 (+.f64 (/.f64 (+.f64 N 1) N) 1))))
(if (<=.f64 N 1400) (neg.f64 (log.f64 (/.f64 N (+.f64 N 1)))) (/.f64 (+.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N) 1) N))
(if (<=.f64 N 1150) (log.f64 (+.f64 1 (/.f64 1 N))) (/.f64 (+.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N) 1) N))
(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)) N)) N)) (neg.f64 N))
(/.f64 (+.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N) 1) N)
(/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N)) N)
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (-.f64 1 (/.f64 1/6 N)) N)
(/.f64 1 N)

Outputs
(log1p.f64 (*.f64 (/.f64 (+.f64 (/.f64 1 N) 2) N) (/.f64 1 (+.f64 (/.f64 (+.f64 N 1) N) 1))))
(log1p.f64 (*.f64 (/.f64 (+.f64 (/.f64 1 N) 2) N) (/.f64 1 (+.f64 1 (/.f64 (+.f64 1 N) N)))))
(log1p.f64 (*.f64 (/.f64 (+.f64 (/.f64 1 N) 2) N) (/.f64 -1 (+.f64 -1 (/.f64 (-.f64 -1 N) N)))))
(if (<=.f64 N 1400) (neg.f64 (log.f64 (/.f64 N (+.f64 N 1)))) (/.f64 (+.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N) 1) N))
(if (<=.f64 N 1400) (neg.f64 (log.f64 (/.f64 N (+.f64 1 N)))) (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N))
(if (<=.f64 N 1150) (log.f64 (+.f64 1 (/.f64 1 N))) (/.f64 (+.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N) 1) N))
(if (<=.f64 N 1150) (log.f64 (+.f64 1 (/.f64 1 N))) (/.f64 (+.f64 1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N)) N))
(if (<=.f64 N 1150) (log.f64 (+.f64 (/.f64 1 N) 1)) (/.f64 (+.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N) 1) N))
(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 (+.f64 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N) -1/4) N)) N)) N)) (neg.f64 N))
(/.f64 (-.f64 -1 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 (+.f64 -1/4 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N)) N)) N)) N)) (neg.f64 N))
(/.f64 (-.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 (+.f64 -1/4 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N)) N)) N)) N) -1) N)
(/.f64 (+.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 (+.f64 -1/4 (/.f64 (+.f64 3/8 (/.f64 -9/32 N)) N)) N)) N)) N) 1) N)
(/.f64 (+.f64 (/.f64 (+.f64 -1/2 (/.f64 (+.f64 1/3 (/.f64 -1/4 N)) N)) N) 1) 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 1/3 N)) N)) N)
(/.f64 (+.f64 (/.f64 (+.f64 -1/2 (/.f64 1/3 N)) N) 1) N)
(/.f64 (-.f64 1 (/.f64 1/2 N)) N)
(/.f64 (-.f64 1 (/.f64 1/6 N)) N)
(/.f64 1 N)

Compiler

Compiled 144 to 109 computations (24.3% saved)

soundness1.4s (14.1%)

Rules

1300×	`associate-r`
1158×	`fma-define`
1022×	`fma-neg`
948×	`div-sub`
834×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	350	5046
1	786	4788
2	2157	4729
3	6964	4723
0	9	29
1	92	29
2	1201	29
0	1269	38075
1	3150	35096
0	896	17594
1	1962	16698
2	5529	16146
0	947	22087
1	2223	20828
2	6846	20808
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
0	34	349
1	583	321

Stop Event

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

Compiler

Compiled 1473 to 1078 computations (26.8% saved)

end0.0ms (0%)

preprocess108.0ms (1.1%)

Compiler: Compiled 298 to 222 computations (25.5% saved)

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

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

analyze0.0ms (0%)

sample1.7s (16.9%)

preprocess189.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

localize39.0ms (0.4%)

series4.0ms (0%)

rewrite203.0ms (2%)

simplify137.0ms (1.3%)

eval59.0ms (0.6%)

prune48.0ms (0.5%)

localize344.0ms (3.4%)

series97.0ms (0.9%)

rewrite324.0ms (3.2%)

simplify474.0ms (4.7%)

eval657.0ms (6.4%)

prune390.0ms (3.8%)

localize1.0s (9.9%)

series39.0ms (0.4%)

rewrite143.0ms (1.4%)

simplify233.0ms (2.3%)

eval323.0ms (3.2%)

prune125.0ms (1.2%)

localize734.0ms (7.2%)

series40.0ms (0.4%)

rewrite152.0ms (1.5%)

simplify332.0ms (3.3%)

eval446.0ms (4.4%)

prune164.0ms (1.6%)

regimes41.0ms (0.4%)

regimes41.0ms (0.4%)

regimes22.0ms (0.2%)

regimes11.0ms (0.1%)

regimes10.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

bsearch7.0ms (0.1%)

bsearch8.0ms (0.1%)

simplify62.0ms (0.6%)

soundness1.4s (14.1%)

end0.0ms (0%)

preprocess108.0ms (1.1%)

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