Metrics for 2log (problem 3.3.6)

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.5s (11.2%)

Results

1.5s

8256×

256

valid

Bogosity

preprocess445.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

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

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
247	-	1	(11.673002636632495)	`(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))`
0	-	0	-	`1`
0	-	0	-	`(log.f64 N)`
0	-	0	-	`(log.f64 (+.f64 N 1))`
0	-	0	-	`(+.f64 N 1)`
0	-	0	-	`N`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	17	128
1	33	104
2	65	100
3	125	100
4	272	100
5	525	100
6	800	96
7	1286	96
8	2035	96
9	3450	96
10	4123	96
11	4151	96
12	4175	96
13	4175	96
14	6249	96
15	6686	96
16	7038	96
17	7038	96
18	7440	96
19	7975	96

Stop Event

1×	node limit

Calls

Call 1

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

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

Compiler

Compiled 48 to 32 computations (33.3% saved)

eval23.0ms (0.2%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	24.3%	(-.f64 (log1p.f64 N) (log.f64 N))
▶	24.3%	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize88.0ms (0.6%)

Algorithm

2×	egg-herbie

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
✓	100.0%	(log.f64 N)
✓	100.0%	N
✓	100.0%	(log1p.f64 N)
✓	24.3%	(-.f64 (log1p.f64 N) (log.f64 N))
✓	100.0%	N
✓	100.0%	1
✓	100.0%	(log.f64 (+.f64 N 1))
✓	24.3%	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Rules

132×	`fma-def`
132×	`fma-def`
24×	`sub-neg`
24×	`sub-neg`
20×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	64
1	19	52
2	24	52
3	32	52
4	41	52
5	58	52
6	95	52
7	130	52
8	179	52
9	214	52
10	240	52
11	242	52
0	9	41
1	11	41
2	16	41
3	24	41
4	33	41
5	50	41
6	88	41
7	128	41
8	177	41
9	212	41
10	238	41
11	240	41

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

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

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

Compiler

Compiled 30 to 15 computations (50% saved)

series57.0ms (0.4%)

Counts

8 → 56

Calls

21 calls:

Time	Variable		Point	Expression
26.0ms	N	@	0	(log.f64 N)
18.0ms	N	@	-inf	(log.f64 N)
9.0ms	N	@	inf	(log.f64 N)
1.0ms	N	@	-inf	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))
1.0ms	N	@	inf	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

rewrite258.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

862×	`prod-diff`
846×	`unpow-prod-down`
627×	`log1p-expm1-u`
627×	`expm1-log1p-u`
558×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	75
1	181	75
2	1759	75

Stop Event

1×	node limit

Counts

8 → 525

Calls

Call 1

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

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

simplify254.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1630×	`log-prod`
988×	`associate-r`
878×	`associate-l`
726×	`fma-def`
566×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	689	17516
1	1646	15813
2	7213	14725

Stop Event

1×	node limit

Counts

581 → 417

Calls

Call 1

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

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

eval199.0ms (1.5%)

Compiler: Compiled 10249 to 5396 computations (47.4% saved)

prune123.0ms (0.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	713	10	723
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	715	10	725

Accuracy

99.9%

Counts

725 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	84.3%	(/.f64 1 N)
▶	92.1%	(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
▶	96.1%	(+.f64 (/.f64 1 N) (-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
	94.8%	(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
	97.6%	(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) 2))
▶	98.2%	(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)))
	98.5%	(*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 5/2)))
	97.4%	(*.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 4) 2)))
▶	99.8%	(log1p.f64 (/.f64 1 N))
	26.7%	(log.f64 (+.f64 1 (/.f64 1 N)))

Compiler

Compiled 260 to 220 computations (15.4% saved)

localize796.0ms (5.8%)

Algorithm

5×	egg-herbie

Localize:

Found 19 expressions with local error:

New	Accuracy	Program
✓	99.8%	(log1p.f64 (/.f64 1 N))
✓	99.3%	(pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)
✓	99.1%	(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)))
✓	99.0%	(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2))
✓	99.8%	(-.f64 (/.f64 1/3 (pow.f64 N 3)) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4))))
✓	99.6%	(/.f64 1/2 (pow.f64 N 2))
✓	99.6%	(/.f64 1/4 (pow.f64 N 4))
✓	99.4%	(/.f64 1/3 (pow.f64 N 3))
✓	100.0%	1
✓	100.0%	1/2
✓	99.8%	(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
✓	99.6%	(/.f64 1/2 (pow.f64 N 2))
✓	100.0%	(/.f64 1 N)
	100.0%	N
✓	100.0%	1
✓	100.0%	(/.f64 1 N)
	100.0%	N
✓	100.0%	1
✓	99.8%	(log1p.f64 (/.f64 1 N))

Rules

3406×	`sqr-pow`
2010×	`fma-def`
1566×	`cube-prod`
1330×	`pow-sqr`
1310×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
1	14	29
0	7	15
1	13	15
0	12	74
1	24	74
2	37	74
3	69	74
4	145	74
5	441	74
6	1890	74
7	5444	74
8	7859	74
0	22	267
1	48	267
2	97	267
3	237	267
4	771	267
5	3356	267
0	13	127
1	23	127
2	28	127
3	37	127
4	59	127
5	145	127
6	509	127
7	1168	127
8	1255	127
9	1388	127
10	1546	127
11	1779	127
12	2090	127
13	2497	127
14	2978	127
15	3545	127
16	4225	127
17	4496	127
18	4736	127
19	4916	127
20	5046	127
21	5116	127
22	6030	127
23	6997	127
24	7381	127
25	7685	127
26	7895	127
27	7915	127
28	7915	127

Stop Event

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

Calls

Call 1

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

Outputs
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2))
(pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)
(log1p.f64 (/.f64 1 N))
(/.f64 1 N)
1
N
3/2

Call 2

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

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

Call 3

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

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

Call 4

Inputs
(/.f64 1 N)
1
N

Outputs
(/.f64 1 N)
1
N

Call 5

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

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

Compiler

Compiled 162 to 127 computations (21.6% saved)

series21.0ms (0.2%)

Counts

17 → 76

Calls

39 calls:

Time	Variable		Point	Expression
10.0ms	N	@	0	(pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)
1.0ms	N	@	0	(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2))
1.0ms	N	@	-inf	(pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)
1.0ms	N	@	inf	(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2))
1.0ms	N	@	-inf	(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2))

rewrite207.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

819×	`log1p-expm1-u`
554×	`expm1-udef`
554×	`log1p-udef`
218×	`associate-r`
175×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	263
1	396	253
2	5866	253

Stop Event

1×	node limit

Counts

17 → 355

Calls

Call 1

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

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

simplify158.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1194×	`associate-l`
1176×	`associate-r`
1122×	`fma-def`
412×	`associate-/r*`
324×	`sqr-pow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	743	17380
1	2045	16501

Stop Event

1×	node limit

Counts

431 → 427

Calls

Call 1

Inputs
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (+.f64 (.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 -1/4 (pow.f64 N 4))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/4 (/.f64 1 (pow.f64 N 4))))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 N 2))) (*.f64 1/4 (/.f64 1 (pow.f64 N 4)))))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(*.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 -1))
(+.f64 (.f64 1/2 (.f64 (/.f64 N (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 N))))) (*.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 -1)))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 (pow.f64 N 2) (+.f64 1/2 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (/.f64 1 (sqrt.f64 -1)))) 2))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 N))))) (+.f64 (.f64 1/2 (.f64 (/.f64 N (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 N))))) (.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 -1))))
(+.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 (pow.f64 N 2) (+.f64 1/2 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (/.f64 1 (sqrt.f64 -1)))) 2))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 N))))) (+.f64 (.f64 1/2 (.f64 (/.f64 N (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 N))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 (pow.f64 N 3) (-.f64 1/3 (.f64 -1/2 (/.f64 (+.f64 1/2 (pow.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (log.f64 N))) (/.f64 1 (sqrt.f64 -1)))) 2)) (.f64 (log.f64 N) (pow.f64 (sqrt.f64 -1) 2)))))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (log.f64 N))))) (*.f64 (sqrt.f64 (log.f64 N)) (sqrt.f64 -1)))))
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (+.f64 (.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 N) 3)) (sqrt.f64 -1))
(+.f64 (.f64 -3/2 (.f64 (.f64 N (sqrt.f64 -1)) (sqrt.f64 (log.f64 N)))) (.f64 (sqrt.f64 (pow.f64 (log.f64 N) 3)) (sqrt.f64 -1)))
(+.f64 (.f64 -3/2 (.f64 (.f64 N (sqrt.f64 -1)) (sqrt.f64 (log.f64 N)))) (+.f64 (.f64 (sqrt.f64 (pow.f64 (log.f64 N) 3)) (sqrt.f64 -1)) (.f64 (.f64 (pow.f64 N 2) (.f64 (sqrt.f64 -1) (+.f64 (.f64 3/4 (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2)))) (*.f64 9/8 (/.f64 1 (pow.f64 (log.f64 N) 2)))))) (sqrt.f64 (pow.f64 (log.f64 N) 3)))))
(+.f64 (.f64 -3/2 (.f64 (.f64 N (sqrt.f64 -1)) (sqrt.f64 (log.f64 N)))) (+.f64 (.f64 (sqrt.f64 (pow.f64 (log.f64 N) 3)) (sqrt.f64 -1)) (+.f64 (.f64 (.f64 (pow.f64 N 2) (.f64 (sqrt.f64 -1) (+.f64 (.f64 3/4 (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2)))) (.f64 9/8 (/.f64 1 (pow.f64 (log.f64 N) 2)))))) (sqrt.f64 (pow.f64 (log.f64 N) 3))) (.f64 (.f64 (pow.f64 N 3) (.f64 (sqrt.f64 -1) (-.f64 (+.f64 (.f64 -9/8 (/.f64 (-.f64 (/.f64 1 (log.f64 N)) (/.f64 1 (pow.f64 (log.f64 N) 2))) (log.f64 N))) (.f64 1/4 (-.f64 (.f64 3 (/.f64 1 (pow.f64 (log.f64 N) 2))) (+.f64 (.f64 2 (/.f64 1 (log.f64 N))) (.f64 2 (/.f64 1 (pow.f64 (log.f64 N) 3))))))) (.f64 9/16 (/.f64 1 (pow.f64 (log.f64 N) 3)))))) (sqrt.f64 (pow.f64 (log.f64 N) 3))))))
(sqrt.f64 (/.f64 1 (pow.f64 N 3)))
(+.f64 (sqrt.f64 (/.f64 1 (pow.f64 N 3))) (*.f64 -3/4 (sqrt.f64 (/.f64 1 (pow.f64 N 5)))))
(+.f64 (sqrt.f64 (/.f64 1 (pow.f64 N 3))) (+.f64 (.f64 -3/4 (sqrt.f64 (/.f64 1 (pow.f64 N 5)))) (.f64 19/32 (sqrt.f64 (/.f64 1 (pow.f64 N 7))))))
(+.f64 (sqrt.f64 (/.f64 1 (pow.f64 N 3))) (+.f64 (.f64 -3/4 (sqrt.f64 (/.f64 1 (pow.f64 N 5)))) (+.f64 (.f64 -63/128 (sqrt.f64 (/.f64 1 (pow.f64 N 9)))) (*.f64 19/32 (sqrt.f64 (/.f64 1 (pow.f64 N 7)))))))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))))
(+.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) (.f64 -3/4 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) N)))
(+.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) (+.f64 (.f64 -3/4 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) N)) (.f64 19/32 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) (pow.f64 N 2)))))
(+.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) (+.f64 (.f64 -3/4 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) N)) (+.f64 (.f64 -63/128 (/.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) (pow.f64 N 3))) (.f64 19/32 (/.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 N))))) (pow.f64 N 2))))))
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (+.f64 (.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 1 N)))) 1)
(*.f64 1 (log1p.f64 (/.f64 1 N)))
(*.f64 (log1p.f64 (/.f64 1 N)) 1)
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)))
(.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (sqrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) (.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(.f64 (.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (cbrt.f64 (log1p.f64 (/.f64 1 N)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(pow.f64 (log1p.f64 (/.f64 1 N)) 1)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2) 2/3)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))
(log.f64 (+.f64 1 (/.f64 1 N)))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) 2))
(-.f64 (+.f64 1 (/.f64 1 N)) 1)
(*.f64 1 (/.f64 1 N))
(*.f64 (/.f64 1 N) 1)
(*.f64 -1 (/.f64 1 (neg.f64 N)))
(*.f64 (/.f64 1 (cbrt.f64 N)) (cbrt.f64 (pow.f64 N -2)))
(*.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)))
(*.f64 (pow.f64 N -1/2) (pow.f64 N -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 N) 2) -1) (pow.f64 (cbrt.f64 N) -1))
(*.f64 (pow.f64 (sqrt.f64 N) -1) (pow.f64 (sqrt.f64 N) -1))
(pow.f64 N -1)
(pow.f64 (/.f64 1 N) 1)
(pow.f64 (/.f64 1 (cbrt.f64 N)) 3)
(pow.f64 (pow.f64 N -1/2) 2)
(pow.f64 (pow.f64 N -3) 1/3)
(sqrt.f64 (pow.f64 N -2))
(log.f64 (exp.f64 (/.f64 1 N)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 N))))
(cbrt.f64 (pow.f64 N -3))
(expm1.f64 (log1p.f64 (/.f64 1 N)))
(exp.f64 (neg.f64 (log.f64 N)))
(exp.f64 (*.f64 (log.f64 N) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 N)) 1))
(log1p.f64 (expm1.f64 (/.f64 1 N)))
(-.f64 (+.f64 1 (/.f64 1 N)) 1)
(*.f64 1 (/.f64 1 N))
(*.f64 (/.f64 1 N) 1)
(*.f64 -1 (/.f64 1 (neg.f64 N)))
(*.f64 (/.f64 1 (cbrt.f64 N)) (cbrt.f64 (pow.f64 N -2)))
(*.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)))
(*.f64 (pow.f64 N -1/2) (pow.f64 N -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 N) 2) -1) (pow.f64 (cbrt.f64 N) -1))
(*.f64 (pow.f64 (sqrt.f64 N) -1) (pow.f64 (sqrt.f64 N) -1))
(pow.f64 N -1)
(pow.f64 (/.f64 1 N) 1)
(pow.f64 (/.f64 1 (cbrt.f64 N)) 3)
(pow.f64 (pow.f64 N -1/2) 2)
(pow.f64 (pow.f64 N -3) 1/3)
(sqrt.f64 (pow.f64 N -2))
(log.f64 (exp.f64 (/.f64 1 N)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 N))))
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(/.f64 1 (/.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (.f64 (fma.f64 1/2 (pow.f64 N -2) (.f64 1/4 (pow.f64 N -4))) (fma.f64 1/3 (pow.f64 N -3) (fma.f64 1/2 (pow.f64 N -2) (.f64 1/4 (pow.f64 N -4)))))) (-.f64 (.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (pow.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))) 3))))
(/.f64 1 (/.f64 (fma.f64 1/3 (pow.f64 N -3) (fma.f64 1/2 (pow.f64 N -2) (.f64 1/4 (pow.f64 N -4)))) (-.f64 (/.f64 1/9 (pow.f64 N 6)) (pow.f64 (fma.f64 1/2 (pow.f64 N -2) (.f64 1/4 (pow.f64 N -4))) 2))))
(/.f64 (-.f64 (.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (pow.f64 (fma.f64 1/2 (pow.f64 N -2) (.f64 1/4 (pow.f64 N -4))) 3)) (+.f64 (/.f64 1/9 (pow.f64 N 6)) (.f64 (fma.f64 1/2 (pow.f64 N -2) (.f64 1/4 (pow.f64 N -4))) (fma.f64 1/3 (pow.f64 N -3) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))))
(/.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (pow.f64 (fma.f64 1/2 (pow.f64 N -2) (.f64 1/4 (pow.f64 N -4))) 2)) (fma.f64 1/3 (pow.f64 N -3) (fma.f64 1/2 (pow.f64 N -2) (.f64 1/4 (pow.f64 N -4)))))
(/.f64 (-.f64 (pow.f64 N 6) (.f64 (.f64 (pow.f64 N 3) 3) (fma.f64 1/2 (pow.f64 N 4) (.f64 (pow.f64 N 2) 1/4)))) (.f64 (*.f64 (pow.f64 N 3) 3) (pow.f64 N 6)))
(/.f64 (-.f64 (+.f64 (.f64 1/4 (pow.f64 N -4)) (-.f64 (/.f64 1/16 (pow.f64 N 8)) (/.f64 1/8 (pow.f64 N 6)))) (.f64 (.f64 (pow.f64 N 3) 3) (+.f64 (.f64 1/64 (pow.f64 (pow.f64 N -4) 3)) (/.f64 1/8 (pow.f64 N 6))))) (.f64 (.f64 (pow.f64 N 3) 3) (+.f64 (*.f64 1/4 (pow.f64 N -4)) (-.f64 (/.f64 1/16 (pow.f64 N 8)) (/.f64 1/8 (pow.f64 N 6))))))
(/.f64 (-.f64 (+.f64 (.f64 1/2 (pow.f64 N -2)) (.f64 -1/4 (pow.f64 N -4))) (.f64 (.f64 (pow.f64 N 3) 3) (-.f64 (.f64 1/4 (pow.f64 N -4)) (/.f64 1/16 (pow.f64 N 8))))) (.f64 (.f64 (pow.f64 N 3) 3) (+.f64 (.f64 1/2 (pow.f64 N -2)) (*.f64 -1/4 (pow.f64 N -4)))))
(/.f64 (-.f64 (.f64 1/3 (pow.f64 N 6)) (.f64 (pow.f64 N 3) (fma.f64 1/2 (pow.f64 N 4) (*.f64 (pow.f64 N 2) 1/4)))) (pow.f64 (pow.f64 N 3) 3))
(/.f64 (-.f64 (.f64 1/3 (+.f64 (.f64 1/4 (pow.f64 N -4)) (-.f64 (/.f64 1/16 (pow.f64 N 8)) (/.f64 1/8 (pow.f64 N 6))))) (.f64 (pow.f64 N 3) (+.f64 (.f64 1/64 (pow.f64 (pow.f64 N -4) 3)) (/.f64 1/8 (pow.f64 N 6))))) (.f64 (pow.f64 N 3) (+.f64 (.f64 1/4 (pow.f64 N -4)) (-.f64 (/.f64 1/16 (pow.f64 N 8)) (/.f64 1/8 (pow.f64 N 6))))))
(/.f64 (-.f64 (.f64 1/3 (+.f64 (.f64 1/2 (pow.f64 N -2)) (.f64 -1/4 (pow.f64 N -4)))) (.f64 (pow.f64 N 3) (-.f64 (.f64 1/4 (pow.f64 N -4)) (/.f64 1/16 (pow.f64 N 8))))) (.f64 (pow.f64 N 3) (+.f64 (.f64 1/2 (pow.f64 N -2)) (.f64 -1/4 (pow.f64 N -4)))))
(/.f64 (-.f64 (.f64 -1/3 (pow.f64 N 6)) (.f64 (neg.f64 (pow.f64 N 3)) (fma.f64 1/2 (pow.f64 N 4) (.f64 (pow.f64 N 2) 1/4)))) (.f64 (neg.f64 (pow.f64 N 3)) (pow.f64 N 6)))
(/.f64 (-.f64 (.f64 -1/3 (+.f64 (.f64 1/4 (pow.f64 N -4)) (-.f64 (/.f64 1/16 (pow.f64 N 8)) (/.f64 1/8 (pow.f64 N 6))))) (.f64 (neg.f64 (pow.f64 N 3)) (+.f64 (.f64 1/64 (pow.f64 (pow.f64 N -4) 3)) (/.f64 1/8 (pow.f64 N 6))))) (.f64 (neg.f64 (pow.f64 N 3)) (+.f64 (.f64 1/4 (pow.f64 N -4)) (-.f64 (/.f64 1/16 (pow.f64 N 8)) (/.f64 1/8 (pow.f64 N 6))))))
(/.f64 (-.f64 (.f64 -1/3 (+.f64 (.f64 1/2 (pow.f64 N -2)) (.f64 -1/4 (pow.f64 N -4)))) (.f64 (neg.f64 (pow.f64 N 3)) (-.f64 (.f64 1/4 (pow.f64 N -4)) (/.f64 1/16 (pow.f64 N 8))))) (.f64 (neg.f64 (pow.f64 N 3)) (+.f64 (.f64 1/2 (pow.f64 N -2)) (.f64 -1/4 (pow.f64 N -4)))))
(/.f64 (neg.f64 (-.f64 (.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (pow.f64 (fma.f64 1/2 (pow.f64 N -2) (.f64 1/4 (pow.f64 N -4))) 3))) (neg.f64 (+.f64 (/.f64 1/9 (pow.f64 N 6)) (.f64 (fma.f64 1/2 (pow.f64 N -2) (.f64 1/4 (pow.f64 N -4))) (fma.f64 1/3 (pow.f64 N -3) (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))))
(/.f64 (neg.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (pow.f64 (fma.f64 1/2 (pow.f64 N -2) (.f64 1/4 (pow.f64 N -4))) 2))) (neg.f64 (fma.f64 1/3 (pow.f64 N -3) (fma.f64 1/2 (pow.f64 N -2) (.f64 1/4 (pow.f64 N -4))))))
(/.f64 (+.f64 (.f64 1/27 (pow.f64 (pow.f64 N -3) 3)) (pow.f64 (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (.f64 1/4 (pow.f64 N -4)))) 3)) (+.f64 (/.f64 1/9 (pow.f64 N 6)) (-.f64 (.f64 (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (.f64 1/4 (pow.f64 N -4)))) (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (.f64 1/4 (pow.f64 N -4))))) (.f64 (.f64 1/3 (pow.f64 N -3)) (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (.f64 1/4 (pow.f64 N -4))))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (pow.f64 N 2))) 3) (.f64 1/64 (pow.f64 (pow.f64 N -4) 3))) (+.f64 (.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (pow.f64 N 2))) (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (pow.f64 N 2)))) (+.f64 (/.f64 1/16 (pow.f64 N 8)) (.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (pow.f64 N 2))) (.f64 1/4 (pow.f64 N -4))))))
(/.f64 (-.f64 (/.f64 1/9 (pow.f64 N 6)) (.f64 (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (.f64 1/4 (pow.f64 N -4)))) (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (.f64 1/4 (pow.f64 N -4)))))) (-.f64 (.f64 1/3 (pow.f64 N -3)) (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4))))))
(/.f64 (-.f64 (.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (pow.f64 N 2))) (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (pow.f64 N 2)))) (/.f64 1/16 (pow.f64 N 8))) (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (pow.f64 N 2))) (.f64 1/4 (pow.f64 N -4))))
(pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (pow.f64 N 2))) (*.f64 -1/4 (pow.f64 N -4))) 1)
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (pow.f64 N 2))) (*.f64 -1/4 (pow.f64 N -4)))) 3)
(pow.f64 (pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (pow.f64 N 2))) (*.f64 -1/4 (pow.f64 N -4))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (pow.f64 N 2))) (*.f64 -1/4 (pow.f64 N -4)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (pow.f64 N 2))) (*.f64 -1/4 (pow.f64 N -4))) 2))
(log.f64 (exp.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (pow.f64 N 2))) (*.f64 -1/4 (pow.f64 N -4)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (pow.f64 N 2))) (*.f64 -1/4 (pow.f64 N -4))))))
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (pow.f64 N 2))) (*.f64 -1/4 (pow.f64 N -4))) 3))
(expm1.f64 (log1p.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (pow.f64 N 2))) (*.f64 -1/4 (pow.f64 N -4)))))
(exp.f64 (log.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (pow.f64 N 2))) (*.f64 -1/4 (pow.f64 N -4)))))
(exp.f64 (.f64 (log.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (pow.f64 N 2))) (.f64 -1/4 (pow.f64 N -4)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 1/3 (pow.f64 N -3) (/.f64 -1/2 (pow.f64 N 2))) (*.f64 -1/4 (pow.f64 N -4)))))
(fma.f64 1 (.f64 1/3 (pow.f64 N -3)) (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (.f64 1/4 (pow.f64 N -4)))))
(fma.f64 1/3 (pow.f64 N -3) (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(fma.f64 (pow.f64 (/.f64 (cbrt.f64 1/3) N) 2) (/.f64 (cbrt.f64 1/3) N) (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(fma.f64 (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (/.f64 (sqrt.f64 1/3) (pow.f64 N 3/2)) (neg.f64 (fma.f64 1/2 (pow.f64 N -2) (*.f64 1/4 (pow.f64 N -4)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))) 1)
(*.f64 1 (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) (sqrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) 1/3) (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) 1/3))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))) (sqrt.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N)))))
(pow.f64 (log1p.f64 (/.f64 1 N)) 1/2)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) 3)
(pow.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) 2)
(sqrt.f64 (log1p.f64 (/.f64 1 N)))
(fabs.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(log.f64 (exp.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))))
(expm1.f64 (log1p.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(exp.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 1 N)))) 1)
(pow.f64 (log1p.f64 (/.f64 1 N)) 1)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2) 2/3)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))
(log.f64 (+.f64 1 (/.f64 1 N)))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) 2))
(log1p.f64 (/.f64 1 N))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2))) 1)
(*.f64 1 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2))
(*.f64 (log1p.f64 (/.f64 1 N)) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2) 1)
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (log1p.f64 (/.f64 1 N)))
(.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)) (.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4))
(*.f64 (pow.f64 1 3/2) (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)) 3/2) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3/2))
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 3/2) (pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 3/2))
(.f64 (.f64 (log1p.f64 (/.f64 1 N)) (cbrt.f64 (log1p.f64 (/.f64 1 N)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(.f64 (.f64 (log1p.f64 (/.f64 1 N)) (sqrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))))) (sqrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
(log.f64 (exp.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2))))
(cbrt.f64 (pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)))
(exp.f64 (log.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 1 N)))) 1)
(*.f64 1 (log1p.f64 (/.f64 1 N)))
(*.f64 (log1p.f64 (/.f64 1 N)) 1)
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2)))
(.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(*.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/4) (sqrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) (.f64 (sqrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(.f64 (.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (cbrt.f64 (log1p.f64 (/.f64 1 N)))) (cbrt.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))))
(pow.f64 (log1p.f64 (/.f64 1 N)) 1)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3/2) 2/3)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))
(log.f64 (+.f64 1 (/.f64 1 N)))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N)))) 2))

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

eval1.4s (10.1%)

Compiler: Compiled 55882 to 41691 computations (25.4% saved)

prune392.0ms (2.9%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	2465	12	2477
Fresh	3	2	5
Picked	3	2	5
Done	0	0	0
Total	2471	16	2487

Accuracy

100.0%

Counts

2487 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	92.1%	(/.f64 (/.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N 2)) N)
▶	91.9%	(/.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N 3))
	91.8%	(/.f64 N (/.f64 (pow.f64 N 3) (+.f64 N -1/2)))
	84.3%	(/.f64 1 (-.f64 (+.f64 N 1) 1))
✓	84.3%	(/.f64 1 N)
	18.3%	(-.f64 (+.f64 1 (/.f64 1 N)) 1)
	94.8%	(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
▶	18.7%	(+.f64 1 (-.f64 (/.f64 1 N) 1))
	91.8%	(.f64 (pow.f64 N -3) (.f64 N (+.f64 N -1/2)))
	99.2%	(log1p.f64 (pow.f64 (pow.f64 N -1/2) 2))
▶	99.1%	(log1p.f64 (pow.f64 (sqrt.f64 N) -2))
	98.1%	(log1p.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 3)))
	95.3%	(log1p.f64 (/.f64 1 (expm1.f64 (log1p.f64 N))))
✓	99.8%	(log1p.f64 (/.f64 1 N))
▶	99.7%	(log1p.f64 (sqrt.f64 (pow.f64 N -2)))
▶	26.7%	(log.f64 (+.f64 1 (/.f64 1 N)))

Compiler

Compiled 255 to 203 computations (20.4% saved)

localize612.0ms (4.5%)

Algorithm

5×	egg-herbie

Localize:

Found 20 expressions with local error:

New	Accuracy	Program
	100.0%	N
✓	100.0%	-2
✓	99.8%	(log1p.f64 (pow.f64 (sqrt.f64 N) -2))
✓	99.2%	(pow.f64 (sqrt.f64 N) -2)
	100.0%	N
✓	100.0%	3
✓	100.0%	1/2
✓	99.5%	(/.f64 (*.f64 N (-.f64 N 1/2)) (pow.f64 N 3))
	100.0%	N
✓	100.0%	1
✓	100.0%	(+.f64 1 (/.f64 1 N))
✓	26.7%	(log.f64 (+.f64 1 (/.f64 1 N)))
✓	100.0%	(-.f64 (/.f64 1 N) 1)
	100.0%	N
✓	100.0%	1
✓	27.4%	(+.f64 1 (-.f64 (/.f64 1 N) 1))
	100.0%	N
✓	100.0%	-2
✓	99.8%	(log1p.f64 (sqrt.f64 (pow.f64 N -2)))
✓	99.7%	(sqrt.f64 (pow.f64 N -2))

Rules

6216×	`associate-+r-`
3026×	`sub-neg`
2384×	`+-commutative`
2356×	`associate-*r/`
1528×	`fma-neg`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	10	47
1	15	47
2	23	39
3	47	39
4	88	39
5	251	39
6	893	39
7	2378	39
8	3108	39
9	3298	39
10	3502	39
11	3787	39
12	4182	39
13	5907	39
14	6868	39
0	9	65
1	21	53
2	28	41
3	32	41
4	73	41
5	173	41
6	422	41
7	814	41
8	960	41
9	1015	41
10	1015	41
11	2142	41
12	2594	41
13	2778	41
14	2778	41
15	2778	41
16	6761	41
17	7042	41
18	7042	41
19	7880	41
0	10	45
1	17	45
0	11	79
1	26	79
2	61	76
3	158	70
4	397	70
5	2415	70
6	4492	70
0	10	45
1	15	45
2	22	45
3	40	45
4	74	45
5	197	37
6	733	37
7	1782	37
8	3225	37
9	4308	37
10	4595	37
11	4864	37
12	5246	37
13	5722	37
14	6254	37
15	6850	37
16	7571	37
17	7857	37

Stop Event

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

Calls

Call 1

Inputs
(log1p.f64 (pow.f64 (sqrt.f64 N) -2))
(pow.f64 (sqrt.f64 N) -2)
(sqrt.f64 N)
N
-2

Outputs
(log1p.f64 (pow.f64 (sqrt.f64 N) -2))
(log1p.f64 (/.f64 1 N))
(pow.f64 (sqrt.f64 N) -2)
(/.f64 1 N)
(sqrt.f64 N)
N
-2

Call 2

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

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

Call 3

Inputs
(log.f64 (+.f64 1 (/.f64 1 N)))
(+.f64 1 (/.f64 1 N))
1
(/.f64 1 N)
N

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

Call 4

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

Outputs
(+.f64 1 (-.f64 (/.f64 1 N) 1))
(+.f64 1 (+.f64 (/.f64 1 N) -1))
(+.f64 (/.f64 1 N) 0)
(/.f64 1 N)
1
(-.f64 (/.f64 1 N) 1)
(+.f64 (/.f64 1 N) -1)
(/.f64 1 N)
(+.f64 1 (+.f64 (/.f64 1 N) -1))
(+.f64 (/.f64 1 N) 0)
N

Call 5

Inputs
(log1p.f64 (sqrt.f64 (pow.f64 N -2)))
(sqrt.f64 (pow.f64 N -2))
(pow.f64 N -2)
N
-2

Outputs
(log1p.f64 (sqrt.f64 (pow.f64 N -2)))
(log1p.f64 (/.f64 1 N))
(sqrt.f64 (pow.f64 N -2))
(/.f64 1 N)
(pow.f64 N -2)
N
-2

Compiler

Compiled 85 to 59 computations (30.6% saved)

series12.0ms (0.1%)

Counts

15 → 66

Calls

27 calls:

Time	Variable		Point	Expression
2.0ms	N	@	-inf	(log1p.f64 (pow.f64 (sqrt.f64 N) -2))
2.0ms	N	@	-inf	(pow.f64 (sqrt.f64 N) -2)
1.0ms	N	@	inf	(log1p.f64 (pow.f64 (sqrt.f64 N) -2))
1.0ms	N	@	0	(log1p.f64 (pow.f64 (sqrt.f64 N) -2))
1.0ms	N	@	0	(pow.f64 (sqrt.f64 N) -2)

rewrite194.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1776×	`prod-diff`
818×	`log1p-expm1-u`
436×	`log1p-udef`
434×	`expm1-udef`
162×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	144
1	401	144
2	4341	144

Stop Event

1×	node limit

Counts

15 → 360

Calls

Call 1

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

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

simplify281.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

912×	`div-sub`
772×	`log-prod`
476×	`cube-prod`
440×	`sub-neg`
356×	`unsub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	459	10862
1	1104	10233
2	4558	9861

Stop Event

1×	node limit

Counts

426 → 298

Calls

Call 1

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

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

eval1.3s (9.7%)

Compiler: Compiled 49719 to 32024 computations (35.6% saved)

prune873.0ms (6.4%)

Pruning

15 alts after pruning (9 fresh and 6 done)

	Pruned	Kept	Total
New	3270	3	3273
Fresh	3	6	9
Picked	1	4	5
Done	0	2	2
Total	3274	15	3289

Accuracy

100.0%

Counts

3289 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.8%	(/.f64 N (/.f64 (pow.f64 N 3) (+.f64 N -1/2)))
	84.3%	(/.f64 1 (-.f64 (+.f64 N 1) 1))
✓	84.3%	(/.f64 1 N)
▶	18.3%	(-.f64 (+.f64 1 (/.f64 1 N)) 1)
	94.6%	(+.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 (pow.f64 N -2) (+.f64 N -1/2)))
✓	18.7%	(+.f64 1 (-.f64 (/.f64 1 N) 1))
▶	91.9%	(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
	91.8%	(.f64 (pow.f64 N -3) (.f64 N (+.f64 N -1/2)))
▶	98.6%	(log1p.f64 (pow.f64 (pow.f64 N 1/4) -4))
✓	99.1%	(log1p.f64 (pow.f64 (sqrt.f64 N) -2))
	98.1%	(log1p.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 3)))
▶	95.3%	(log1p.f64 (/.f64 1 (expm1.f64 (log1p.f64 N))))
✓	99.8%	(log1p.f64 (/.f64 1 N))
✓	99.7%	(log1p.f64 (sqrt.f64 (pow.f64 N -2)))
✓	26.7%	(log.f64 (+.f64 1 (/.f64 1 N)))

Compiler

Compiled 196 to 158 computations (19.4% saved)

localize1.2s (8.7%)

Algorithm

5×	egg-herbie

Localize:

Found 20 expressions with local error:

New	Accuracy	Program
✓	100.0%	1
	100.0%	(log1p.f64 N)
✓	99.8%	(log1p.f64 (/.f64 1 (expm1.f64 (log1p.f64 N))))
✓	95.1%	(expm1.f64 (log1p.f64 N))
✓	100.0%	3
✓	100.0%	-1/2
✓	99.7%	(/.f64 (pow.f64 N 3) (+.f64 N -1/2))
✓	99.6%	(/.f64 N (/.f64 (pow.f64 N 3) (+.f64 N -1/2)))
	100.0%	N
✓	100.0%	-1/2
✓	100.0%	-2
✓	99.6%	(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
	100.0%	N
✓	100.0%	1
	100.0%	(+.f64 1 (/.f64 1 N))
✓	26.7%	(-.f64 (+.f64 1 (/.f64 1 N)) 1)
✓	100.0%	1/4
✓	100.0%	-4
✓	99.8%	(log1p.f64 (pow.f64 (pow.f64 N 1/4) -4))
✓	98.6%	(pow.f64 (pow.f64 N 1/4) -4)

Rules

6428×	`associate-+r-`
3246×	`sub-neg`
1388×	`distribute-rgt-in`
1388×	`distribute-lft-in`
1368×	`+-commutative`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	11	52
1	20	52
2	30	52
3	50	52
4	116	52
5	517	52
6	4526	52
7	5122	52
8	6031	52
9	6780	40
10	7635	40
0	9	65
1	21	53
2	27	41
3	32	41
4	74	41
5	173	41
6	425	41
7	793	41
8	939	41
9	994	41
10	994	41
11	2063	41
12	2515	41
13	2699	41
14	2699	41
15	2699	41
16	6933	41
17	7214	41
18	7214	41
0	10	51
1	23	51
2	49	51
3	230	51
4	883	51
5	3486	51
6	5582	51
7	6863	51
0	11	85
1	22	85
2	50	85
3	138	76
4	370	76
5	1942	76
6	2758	76
7	4190	76
8	5912	76
9	6986	76
0	11	41
1	17	41

Stop Event

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

Calls

Call 1

Inputs
(log1p.f64 (/.f64 1 (expm1.f64 (log1p.f64 N))))
(/.f64 1 (expm1.f64 (log1p.f64 N)))
1
(expm1.f64 (log1p.f64 N))
(log1p.f64 N)
N

Outputs
(log1p.f64 (/.f64 1 (expm1.f64 (log1p.f64 N))))
(log1p.f64 (/.f64 1 N))
(/.f64 1 (expm1.f64 (log1p.f64 N)))
(/.f64 1 N)
1
(expm1.f64 (log1p.f64 N))
N
(log1p.f64 N)
N

Call 2

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

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

Call 3

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

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

Call 4

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

Outputs
(-.f64 (+.f64 1 (/.f64 1 N)) 1)
(+.f64 1 (-.f64 (/.f64 1 N) 1))
(+.f64 (/.f64 1 N) 0)
(/.f64 1 N)
(+.f64 1 (/.f64 1 N))
1
(/.f64 1 N)
(+.f64 1 (-.f64 (/.f64 1 N) 1))
(+.f64 (/.f64 1 N) 0)
N

Call 5

Inputs
(log1p.f64 (pow.f64 (pow.f64 N 1/4) -4))
(pow.f64 (pow.f64 N 1/4) -4)
(pow.f64 N 1/4)
N
1/4
-4

Outputs
(log1p.f64 (pow.f64 (pow.f64 N 1/4) -4))
(log1p.f64 (/.f64 1 N))
(pow.f64 (pow.f64 N 1/4) -4)
(/.f64 1 N)
(pow.f64 N 1/4)
N
1/4
-4

Compiler

Compiled 95 to 64 computations (32.6% saved)

series76.0ms (0.6%)

Counts

16 → 96

Calls

24 calls:

Time	Variable		Point	Expression
31.0ms	N	@	inf	(log1p.f64 (pow.f64 (pow.f64 N 1/4) -4))
21.0ms	N	@	-inf	(log1p.f64 (pow.f64 (pow.f64 N 1/4) -4))
17.0ms	N	@	0	(log1p.f64 (pow.f64 (pow.f64 N 1/4) -4))
2.0ms	N	@	-inf	(pow.f64 (pow.f64 N 1/4) -4)
1.0ms	N	@	0	(pow.f64 (pow.f64 N 1/4) -4)

rewrite200.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

998×	`log1p-expm1-u`
534×	`expm1-log1p-u`
448×	`expm1-udef`
448×	`log1p-udef`
204×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	135
1	393	135
2	4837	135

Stop Event

1×	node limit

Counts

16 → 345

Calls

Call 1

Inputs
(pow.f64 (pow.f64 N 1/4) -4)
(log1p.f64 (pow.f64 (pow.f64 N 1/4) -4))
-4
1/4
(-.f64 (+.f64 1 (/.f64 1 N)) 1)
1
(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
-2
-1/2
(/.f64 N (/.f64 (pow.f64 N 3) (+.f64 N -1/2)))
(/.f64 (pow.f64 N 3) (+.f64 N -1/2))
-1/2
3
(expm1.f64 (log1p.f64 N))
(log1p.f64 (/.f64 1 (expm1.f64 (log1p.f64 N))))
1

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

simplify551.0ms (4%)

Algorithm

1×	egg-herbie

Rules

1154×	`associate-r`
1024×	`associate-l`
954×	`times-frac`
816×	`fma-def`
646×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	564	12300
1	1425	11219

Stop Event

1×	node limit

Counts

441 → 348

Calls

Call 1

Inputs
(/.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 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))) 4))
(/.f64 1 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))) 4))
(/.f64 1 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))) 4))
(/.f64 1 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))) 4))
(log.f64 (+.f64 1 (/.f64 1 N)))
(log.f64 (+.f64 1 (/.f64 1 N)))
(log.f64 (+.f64 1 (/.f64 1 N)))
(log.f64 (+.f64 1 (/.f64 1 N)))
(log.f64 (+.f64 1 (/.f64 1 N)))
(log.f64 (+.f64 1 (/.f64 1 N)))
(log.f64 (+.f64 1 (/.f64 1 N)))
(log.f64 (+.f64 1 (/.f64 1 N)))
(log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))) 4))))
(log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))) 4))))
(log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))) 4))))
(log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))) 4))))
(/.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 -1/2 (pow.f64 N 2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 -1/2 (pow.f64 N 2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(*.f64 -2 (pow.f64 N 3))
(+.f64 (.f64 -4 (pow.f64 N 4)) (.f64 -2 (pow.f64 N 3)))
(+.f64 (.f64 -8 (pow.f64 N 5)) (+.f64 (.f64 -4 (pow.f64 N 4)) (*.f64 -2 (pow.f64 N 3))))
(+.f64 (.f64 -16 (pow.f64 N 6)) (+.f64 (.f64 -8 (pow.f64 N 5)) (+.f64 (.f64 -4 (pow.f64 N 4)) (.f64 -2 (pow.f64 N 3)))))
(pow.f64 N 2)
(+.f64 (*.f64 1/2 N) (pow.f64 N 2))
(+.f64 1/4 (+.f64 (*.f64 1/2 N) (pow.f64 N 2)))
(+.f64 1/4 (+.f64 (.f64 1/8 (/.f64 1 N)) (+.f64 (.f64 1/2 N) (pow.f64 N 2))))
(pow.f64 N 2)
(+.f64 (*.f64 1/2 N) (pow.f64 N 2))
(+.f64 1/4 (+.f64 (*.f64 1/2 N) (pow.f64 N 2)))
(+.f64 1/4 (+.f64 (.f64 1/8 (/.f64 1 N)) (+.f64 (.f64 1/2 N) (pow.f64 N 2))))
N
N
N
N
N
N
N
N
N
N
N
N
(*.f64 -1 (log.f64 N))
(+.f64 N (*.f64 -1 (log.f64 N)))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (+.f64 (.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1 N) 0)
(+.f64 1 (+.f64 (/.f64 1 N) -1))
(+.f64 1 (*.f64 (+.f64 (/.f64 1 N) -1) 1))
(+.f64 (+.f64 (/.f64 1 N) 1) -1)
(+.f64 -1 (+.f64 (/.f64 1 N) 1))
(+.f64 (+.f64 (/.f64 1 N) -1) 1)
(-.f64 (+.f64 (/.f64 1 N) 1) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1 N) 1) 3) (+.f64 (pow.f64 (+.f64 (/.f64 1 N) 1) 2) (+.f64 (/.f64 1 N) 2))) (/.f64 1 (+.f64 (pow.f64 (+.f64 (/.f64 1 N) 1) 2) (+.f64 (/.f64 1 N) 2))))
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1 N) 1) 2) (+.f64 (/.f64 1 N) 2)) (/.f64 1 (+.f64 (/.f64 1 N) 2)))
(*.f64 N (pow.f64 N -2))
(*.f64 (/.f64 1 N) 1)
(.f64 (/.f64 1 N) (.f64 (/.f64 1 N) N))
(*.f64 1 (/.f64 1 N))
(*.f64 (pow.f64 N -2) N)
(*.f64 -1 (/.f64 1 (neg.f64 N)))
(*.f64 (/.f64 1 (cbrt.f64 N)) (cbrt.f64 (pow.f64 N -2)))
(*.f64 (cbrt.f64 (pow.f64 N -2)) (/.f64 1 (cbrt.f64 N)))
(.f64 (cbrt.f64 (pow.f64 N -4)) (.f64 (cbrt.f64 (pow.f64 N -2)) N))
(.f64 (cbrt.f64 (pow.f64 N 2)) (.f64 (cbrt.f64 N) (pow.f64 N -2)))
(*.f64 (pow.f64 N -1/2) (pow.f64 N -1/2))
(.f64 (sqrt.f64 N) (.f64 (sqrt.f64 N) (pow.f64 N -2)))
(*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 N) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (/.f64 1 N) 1) 2) (+.f64 (/.f64 1 N) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 N) 1) 2) -1) (/.f64 1 (+.f64 (/.f64 1 N) 2)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 N 2)) -1) (pow.f64 (cbrt.f64 N) -1))
(*.f64 (pow.f64 (sqrt.f64 N) -1) (pow.f64 (sqrt.f64 N) -1))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 N)) -4) (pow.f64 (cbrt.f64 (pow.f64 N 1/4)) -4))
(*.f64 (pow.f64 (pow.f64 N 1/8) -4) (pow.f64 (pow.f64 N 1/8) -4))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 N -4))) (sqrt.f64 (cbrt.f64 (pow.f64 N -2))))
(.f64 (.f64 (sqrt.f64 N) (/.f64 1 N)) (*.f64 (sqrt.f64 N) (/.f64 1 N)))
(.f64 (.f64 (/.f64 1 N) (sqrt.f64 N)) (*.f64 (/.f64 1 N) (sqrt.f64 N)))
(*.f64 (+.f64 (hypot.f64 1 (pow.f64 N -1/2)) 1) (-.f64 (hypot.f64 1 (pow.f64 N -1/2)) 1))
(.f64 (.f64 N (/.f64 1 N)) (/.f64 1 N))
(.f64 (.f64 N (cbrt.f64 (pow.f64 N -4))) (cbrt.f64 (pow.f64 N -2)))
(.f64 (.f64 (pow.f64 N -2) (cbrt.f64 (pow.f64 N 2))) (cbrt.f64 N))
(.f64 (.f64 (pow.f64 N -2) (sqrt.f64 N)) (sqrt.f64 N))
(/.f64 1 N)
(/.f64 1 (neg.f64 (neg.f64 N)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 N) 1) 2) (+.f64 (/.f64 1 N) 2)) (+.f64 (pow.f64 (+.f64 (/.f64 1 N) 1) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (/.f64 1 N) 2) (+.f64 (pow.f64 (+.f64 (/.f64 1 N) 1) 2) -1)))
(/.f64 -1 (neg.f64 N))
(/.f64 (pow.f64 N -1/2) (sqrt.f64 N))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 N) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (/.f64 1 N) 1) 2) (+.f64 (/.f64 1 N) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 N) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (/.f64 1 N) 1) 2) (-.f64 1 (*.f64 (+.f64 (/.f64 1 N) 1) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 N) 1) 2) -1) (+.f64 (/.f64 1 N) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 N) 1) 2) -1) (-.f64 (+.f64 (/.f64 1 N) 1) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 N) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 N) 1) 2) (+.f64 (/.f64 1 N) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 N) 1) 2) -1)) (neg.f64 (+.f64 (/.f64 1 N) 2)))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 N 2))) (cbrt.f64 N))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 1 N) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (/.f64 1 N) -1) (+.f64 (/.f64 1 N) -1)) (+.f64 (/.f64 1 N) -1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 1 N) -1) (+.f64 (/.f64 1 N) -1))) (-.f64 1 (+.f64 (/.f64 1 N) -1)))
(sqrt.f64 (pow.f64 N -2))
(fabs.f64 (/.f64 1 N))
(log.f64 (exp.f64 (/.f64 1 N)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 N))))
(cbrt.f64 (pow.f64 N -3))
(cbrt.f64 (*.f64 (pow.f64 N 3) (pow.f64 (pow.f64 N -2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 N -2) 3) (pow.f64 N 3)))
(expm1.f64 (log1p.f64 (/.f64 1 N)))
(exp.f64 (neg.f64 (log.f64 N)))
(exp.f64 (*.f64 (log.f64 N) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 N)) 1))
(exp.f64 (+.f64 (log.f64 N) (*.f64 -2 (log.f64 N))))
(exp.f64 (+.f64 (*.f64 -2 (log.f64 N)) (log.f64 N)))
(log1p.f64 (expm1.f64 (/.f64 1 N)))
(fma.f64 1 (+.f64 (/.f64 1 N) 1) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 N) 1)) 2) (cbrt.f64 (+.f64 (/.f64 1 N) 1)) -1)
(fma.f64 (hypot.f64 1 (pow.f64 N -1/2)) (hypot.f64 1 (pow.f64 N -1/2)) -1)
(+.f64 0 (log1p.f64 (/.f64 1 N)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 N) 1)) 2)) (log.f64 (cbrt.f64 (+.f64 (/.f64 1 N) 1))))
(+.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2))) (log.f64 (hypot.f64 1 (pow.f64 N -1/2))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 1 N)))) 1)
(-.f64 (log1p.f64 (pow.f64 N -3)) (log1p.f64 (-.f64 (pow.f64 N -2) (/.f64 1 N))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 N -2))) (log.f64 (-.f64 1 (/.f64 1 N))))
(*.f64 (log1p.f64 (/.f64 1 N)) 1)
(*.f64 1 (log1p.f64 (/.f64 1 N)))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2))
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(*.f64 (/.f64 (pow.f64 N 2) (sqrt.f64 (+.f64 N -1/2))) (/.f64 N (sqrt.f64 (+.f64 N -1/2))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 N -1/2)) 2)) (/.f64 (pow.f64 N 3) (cbrt.f64 (+.f64 N -1/2))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 N -1/2))) (/.f64 (pow.f64 N 3) (sqrt.f64 (+.f64 N -1/2))))
(*.f64 (/.f64 (pow.f64 N 2) 1) (/.f64 N (+.f64 N -1/2)))
(*.f64 (/.f64 (pow.f64 N 2) (pow.f64 (cbrt.f64 (+.f64 N -1/2)) 2)) (/.f64 N (cbrt.f64 (+.f64 N -1/2))))
(*.f64 (/.f64 (pow.f64 N 3/2) 1) (/.f64 (pow.f64 N 3/2) (+.f64 N -1/2)))
(*.f64 (/.f64 (pow.f64 N 3/2) (pow.f64 (cbrt.f64 (+.f64 N -1/2)) 2)) (/.f64 (pow.f64 N 3/2) (cbrt.f64 (+.f64 N -1/2))))
(.f64 (/.f64 (pow.f64 N 3) (+.f64 (pow.f64 N 3) -1/8)) (fma.f64 N N (-.f64 1/4 (.f64 N -1/2))))
(*.f64 (/.f64 (pow.f64 N 3) (fma.f64 N N -1/4)) (+.f64 N 1/2))
(pow.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2)) 1)
(pow.f64 (/.f64 N (cbrt.f64 (+.f64 N -1/2))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2)) 3) 1/3)
(pow.f64 (/.f64 (pow.f64 N 3/2) (sqrt.f64 (+.f64 N -1/2))) 2)
(pow.f64 (*.f64 (+.f64 N -1/2) (pow.f64 N -3)) -1)
(neg.f64 (/.f64 (pow.f64 N 3) (+.f64 (neg.f64 N) 1/2)))
(sqrt.f64 (/.f64 (pow.f64 N 6) (pow.f64 (+.f64 N -1/2) 2)))
(log.f64 (exp.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2)) 3))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 N 3) 3) (pow.f64 (+.f64 N -1/2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2))))
(exp.f64 (log.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2))) 1))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2))))
(+.f64 (+.f64 N 1) -1)
(-.f64 (+.f64 N 1) 1)
(-.f64 (/.f64 (+.f64 N 1) 1) 1)
(*.f64 N 1)
(*.f64 1 N)
(*.f64 (cbrt.f64 N) (cbrt.f64 (pow.f64 N 2)))
(*.f64 (cbrt.f64 (pow.f64 N 2)) (cbrt.f64 N))
(*.f64 (sqrt.f64 N) (sqrt.f64 N))
(/.f64 N 1)
(/.f64 1 (/.f64 1 N))
(/.f64 (cbrt.f64 (pow.f64 N 2)) (/.f64 1 (cbrt.f64 N)))
(/.f64 (sqrt.f64 N) (pow.f64 N -1/2))
(/.f64 (neg.f64 N) -1)
(/.f64 (-.f64 (pow.f64 (+.f64 N 1) 3) 1) (+.f64 (.f64 (+.f64 N 1) (+.f64 N 1)) (+.f64 1 (.f64 (+.f64 N 1) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 N 1) (+.f64 N 1)) 1) (+.f64 (+.f64 N 1) 1))
(pow.f64 N 1)
(pow.f64 (pow.f64 N 3) 1/3)
(pow.f64 (cbrt.f64 N) 3)
(pow.f64 (sqrt.f64 N) 2)
(sqrt.f64 (pow.f64 N 2))
(log.f64 (exp.f64 N))
(log.f64 (+.f64 1 (expm1.f64 N)))
(cbrt.f64 (pow.f64 N 3))
(exp.f64 (log.f64 N))
(exp.f64 (*.f64 (log.f64 N) 1))
(log1p.f64 (expm1.f64 N))
(+.f64 0 (log1p.f64 (/.f64 1 N)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 N) 1)) 2)) (log.f64 (cbrt.f64 (+.f64 (/.f64 1 N) 1))))
(+.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2))) (log.f64 (hypot.f64 1 (pow.f64 N -1/2))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 1 N)))) 1)
(-.f64 (log1p.f64 (pow.f64 N -3)) (log1p.f64 (-.f64 (pow.f64 N -2) (/.f64 1 N))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 N -2))) (log.f64 (-.f64 1 (/.f64 1 N))))
(*.f64 (log1p.f64 (/.f64 1 N)) 1)
(*.f64 1 (log1p.f64 (/.f64 1 N)))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(pow.f64 (log1p.f64 (/.f64 1 N)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))
(log.f64 (+.f64 (/.f64 1 N) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 1))

Outputs
(/.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 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))) 4))
(/.f64 1 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))) 4))
(/.f64 1 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) 4))
(/.f64 1 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))) 4))
(/.f64 1 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))) 4))
(/.f64 1 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) 4))
(/.f64 1 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))) 4))
(/.f64 1 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))) 4))
(/.f64 1 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) 4))
(/.f64 1 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))) 4))
(/.f64 1 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))) 4))
(/.f64 1 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) 4))
(log.f64 (+.f64 1 (/.f64 1 N)))
(log1p.f64 (/.f64 1 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(log1p.f64 (/.f64 1 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(log1p.f64 (/.f64 1 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(log1p.f64 (/.f64 1 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(log1p.f64 (/.f64 1 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(log1p.f64 (/.f64 1 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(log1p.f64 (/.f64 1 N))
(log.f64 (+.f64 1 (/.f64 1 N)))
(log1p.f64 (/.f64 1 N))
(log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))) 4))))
(log1p.f64 (/.f64 1 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))) 4)))
(log1p.f64 (/.f64 1 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) 4)))
(log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))) 4))))
(log1p.f64 (/.f64 1 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))) 4)))
(log1p.f64 (/.f64 1 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) 4)))
(log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))) 4))))
(log1p.f64 (/.f64 1 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))) 4)))
(log1p.f64 (/.f64 1 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) 4)))
(log.f64 (+.f64 1 (/.f64 1 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 N)))))) 4))))
(log1p.f64 (/.f64 1 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 N))))) 4)))
(log1p.f64 (/.f64 1 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 N)))) 4)))
(/.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 -1/2 (pow.f64 N 2))
(*.f64 -1/2 (pow.f64 N -2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
(/.f64 -1/2 (pow.f64 N 2))
(*.f64 -1/2 (pow.f64 N -2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
(*.f64 -2 (pow.f64 N 3))
(+.f64 (.f64 -4 (pow.f64 N 4)) (.f64 -2 (pow.f64 N 3)))
(fma.f64 -4 (pow.f64 N 4) (*.f64 -2 (pow.f64 N 3)))
(fma.f64 -2 (pow.f64 N 3) (*.f64 -4 (pow.f64 N 4)))
(+.f64 (.f64 -8 (pow.f64 N 5)) (+.f64 (.f64 -4 (pow.f64 N 4)) (*.f64 -2 (pow.f64 N 3))))
(fma.f64 -8 (pow.f64 N 5) (fma.f64 -4 (pow.f64 N 4) (*.f64 -2 (pow.f64 N 3))))
(fma.f64 -8 (pow.f64 N 5) (fma.f64 -2 (pow.f64 N 3) (*.f64 -4 (pow.f64 N 4))))
(+.f64 (.f64 -16 (pow.f64 N 6)) (+.f64 (.f64 -8 (pow.f64 N 5)) (+.f64 (.f64 -4 (pow.f64 N 4)) (.f64 -2 (pow.f64 N 3)))))
(fma.f64 -16 (pow.f64 N 6) (fma.f64 -8 (pow.f64 N 5) (fma.f64 -4 (pow.f64 N 4) (*.f64 -2 (pow.f64 N 3)))))
(fma.f64 -16 (pow.f64 N 6) (fma.f64 -8 (pow.f64 N 5) (fma.f64 -2 (pow.f64 N 3) (*.f64 -4 (pow.f64 N 4)))))
(pow.f64 N 2)
(+.f64 (*.f64 1/2 N) (pow.f64 N 2))
(fma.f64 1/2 N (pow.f64 N 2))
(*.f64 N (+.f64 N 1/2))
(+.f64 1/4 (+.f64 (*.f64 1/2 N) (pow.f64 N 2)))
(+.f64 1/4 (fma.f64 1/2 N (pow.f64 N 2)))
(+.f64 1/4 (*.f64 N (+.f64 N 1/2)))
(+.f64 1/4 (+.f64 (.f64 1/8 (/.f64 1 N)) (+.f64 (.f64 1/2 N) (pow.f64 N 2))))
(+.f64 1/4 (+.f64 (fma.f64 1/2 N (pow.f64 N 2)) (/.f64 1/8 N)))
(+.f64 (*.f64 N (+.f64 N 1/2)) (+.f64 (/.f64 1/8 N) 1/4))
(pow.f64 N 2)
(+.f64 (*.f64 1/2 N) (pow.f64 N 2))
(fma.f64 1/2 N (pow.f64 N 2))
(*.f64 N (+.f64 N 1/2))
(+.f64 1/4 (+.f64 (*.f64 1/2 N) (pow.f64 N 2)))
(+.f64 1/4 (fma.f64 1/2 N (pow.f64 N 2)))
(+.f64 1/4 (*.f64 N (+.f64 N 1/2)))
(+.f64 1/4 (+.f64 (.f64 1/8 (/.f64 1 N)) (+.f64 (.f64 1/2 N) (pow.f64 N 2))))
(+.f64 1/4 (+.f64 (fma.f64 1/2 N (pow.f64 N 2)) (/.f64 1/8 N)))
(+.f64 (*.f64 N (+.f64 N 1/2)) (+.f64 (/.f64 1/8 N) 1/4))
N
N
N
N
N
N
N
N
N
N
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 N (+.f64 (.f64 -1 (log.f64 N)) (.f64 -1/2 (pow.f64 N 2))))
(+.f64 N (fma.f64 -1 (log.f64 N) (*.f64 -1/2 (pow.f64 N 2))))
(+.f64 (-.f64 N (log.f64 N)) (*.f64 -1/2 (pow.f64 N 2)))
(+.f64 N (+.f64 (.f64 -1 (log.f64 N)) (+.f64 (.f64 -1/2 (pow.f64 N 2)) (*.f64 1/3 (pow.f64 N 3)))))
(+.f64 N (fma.f64 -1 (log.f64 N) (fma.f64 -1/2 (pow.f64 N 2) (*.f64 (pow.f64 N 3) 1/3))))
(+.f64 (-.f64 N (log.f64 N)) (fma.f64 -1/2 (pow.f64 N 2) (*.f64 (pow.f64 N 3) 1/3)))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 (pow.f64 N -2) (+.f64 N -1/2)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (*.f64 (pow.f64 N -2) (+.f64 N -1/2)) (/.f64 1/4 (pow.f64 N 4))))
(/.f64 1 N)
(-.f64 (/.f64 1 N) (*.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (.f64 1/2 (/.f64 1 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 (pow.f64 N -2) (+.f64 N -1/2)))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 N 3))) (/.f64 1 N)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 N 4))) (*.f64 1/2 (/.f64 1 (pow.f64 N 2)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (/.f64 1 N) (+.f64 (/.f64 1/2 (pow.f64 N 2)) (/.f64 1/4 (pow.f64 N 4)))))
(+.f64 (/.f64 1/3 (pow.f64 N 3)) (-.f64 (*.f64 (pow.f64 N -2) (+.f64 N -1/2)) (/.f64 1/4 (pow.f64 N 4))))
(+.f64 (/.f64 1 N) 0)
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(neg.f64 (/.f64 (pow.f64 N 3) (+.f64 (neg.f64 N) 1/2)))
(*.f64 (neg.f64 (pow.f64 N 3)) (/.f64 1 (+.f64 1/2 (neg.f64 N))))
(/.f64 (neg.f64 (pow.f64 N 3)) (-.f64 1/2 N))
(sqrt.f64 (/.f64 (pow.f64 N 6) (pow.f64 (+.f64 N -1/2) 2)))
(log.f64 (exp.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2))))
(/.f64 (pow.f64 N 3) (+.f64 N -1/2))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2)))))
(/.f64 (pow.f64 N 3) (+.f64 N -1/2))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2)) 3))
(/.f64 (pow.f64 N 3) (+.f64 N -1/2))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 N 3) 3) (pow.f64 (+.f64 N -1/2) 3)))
(/.f64 (pow.f64 N 3) (+.f64 N -1/2))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2))))
(/.f64 (pow.f64 N 3) (+.f64 N -1/2))
(exp.f64 (log.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2))))
(/.f64 (pow.f64 N 3) (+.f64 N -1/2))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2))) 1))
(/.f64 (pow.f64 N 3) (+.f64 N -1/2))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 N 3) (+.f64 N -1/2))))
(/.f64 (pow.f64 N 3) (+.f64 N -1/2))
(+.f64 (+.f64 N 1) -1)
N
(-.f64 (+.f64 N 1) 1)
N
(-.f64 (/.f64 (+.f64 N 1) 1) 1)
N
(*.f64 N 1)
N
(*.f64 1 N)
N
(*.f64 (cbrt.f64 N) (cbrt.f64 (pow.f64 N 2)))
(*.f64 (cbrt.f64 (pow.f64 N 2)) (cbrt.f64 N))
(*.f64 (cbrt.f64 N) (cbrt.f64 (pow.f64 N 2)))
(*.f64 (sqrt.f64 N) (sqrt.f64 N))
N
(/.f64 N 1)
N
(/.f64 1 (/.f64 1 N))
N
(/.f64 (cbrt.f64 (pow.f64 N 2)) (/.f64 1 (cbrt.f64 N)))
(*.f64 (cbrt.f64 N) (cbrt.f64 (pow.f64 N 2)))
(/.f64 (sqrt.f64 N) (pow.f64 N -1/2))
(/.f64 (neg.f64 N) -1)
N
(/.f64 (-.f64 (pow.f64 (+.f64 N 1) 3) 1) (+.f64 (.f64 (+.f64 N 1) (+.f64 N 1)) (+.f64 1 (.f64 (+.f64 N 1) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 N) 3) -1) (fma.f64 (+.f64 1 N) (+.f64 1 N) (+.f64 N 2)))
(/.f64 (-.f64 (*.f64 (+.f64 N 1) (+.f64 N 1)) 1) (+.f64 (+.f64 N 1) 1))
(/.f64 (*.f64 (+.f64 N 2) (+.f64 N 0)) (+.f64 N 2))
(*.f64 (/.f64 (+.f64 N 2) (+.f64 N 2)) N)
(pow.f64 N 1)
N
(pow.f64 (pow.f64 N 3) 1/3)
N
(pow.f64 (cbrt.f64 N) 3)
N
(pow.f64 (sqrt.f64 N) 2)
N
(sqrt.f64 (pow.f64 N 2))
N
(log.f64 (exp.f64 N))
N
(log.f64 (+.f64 1 (expm1.f64 N)))
N
(cbrt.f64 (pow.f64 N 3))
N
(exp.f64 (log.f64 N))
N
(exp.f64 (*.f64 (log.f64 N) 1))
N
(log1p.f64 (expm1.f64 N))
N
(+.f64 0 (log1p.f64 (/.f64 1 N)))
(log1p.f64 (/.f64 1 N))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 N) 1)) 2)) (log.f64 (cbrt.f64 (+.f64 (/.f64 1 N) 1))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N))))) (log.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N)))))
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 1 (/.f64 1 N)))))
(+.f64 (log.f64 (hypot.f64 1 (pow.f64 N -1/2))) (log.f64 (hypot.f64 1 (pow.f64 N -1/2))))
(*.f64 2 (log.f64 (hypot.f64 1 (pow.f64 N -1/2))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 1 N)))) 1)
(log1p.f64 (/.f64 1 N))
(-.f64 (log1p.f64 (pow.f64 N -3)) (log1p.f64 (-.f64 (pow.f64 N -2) (/.f64 1 N))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 N -2))) (log.f64 (-.f64 1 (/.f64 1 N))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 N -2))) (log1p.f64 (/.f64 -1 N)))
(*.f64 (log1p.f64 (/.f64 1 N)) 1)
(log1p.f64 (/.f64 1 N))
(*.f64 1 (log1p.f64 (/.f64 1 N)))
(log1p.f64 (/.f64 1 N))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2))
(log1p.f64 (/.f64 1 N))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 2) (cbrt.f64 (log1p.f64 (/.f64 1 N))))
(log1p.f64 (/.f64 1 N))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) (sqrt.f64 (log1p.f64 (/.f64 1 N))))
(log1p.f64 (/.f64 1 N))
(pow.f64 (log1p.f64 (/.f64 1 N)) 1)
(log1p.f64 (/.f64 1 N))
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 1 N))) 3)
(log1p.f64 (/.f64 1 N))
(pow.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3) 1/3)
(log1p.f64 (/.f64 1 N))
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 1 N))) 2)
(log1p.f64 (/.f64 1 N))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 2))
(fabs.f64 (log1p.f64 (/.f64 1 N)))
(log.f64 (+.f64 (/.f64 1 N) 1))
(log1p.f64 (/.f64 1 N))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 1 N)) 3))
(log1p.f64 (/.f64 1 N))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 1 N))))
(log1p.f64 (/.f64 1 N))
(exp.f64 (log.f64 (log1p.f64 (/.f64 1 N))))
(log1p.f64 (/.f64 1 N))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 1 N))) 1))
(log1p.f64 (/.f64 1 N))

eval902.0ms (6.6%)

Compiler: Compiled 26545 to 17492 computations (34.1% saved)

prune214.0ms (1.6%)

Pruning

13 alts after pruning (7 fresh and 6 done)

	Pruned	Kept	Total
New	1749	5	1754
Fresh	2	2	4
Picked	3	2	5
Done	2	4	6
Total	1756	13	1769

Accuracy

100.0%

Counts

1769 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	91.6%	(/.f64 (pow.f64 N -2) (/.f64 1 (+.f64 N -1/2)))
	92.4%	(/.f64 N (*.f64 N (+.f64 N 1/2)))
✓	84.3%	(/.f64 1 N)
	94.6%	(+.f64 (/.f64 1/3 (pow.f64 N 3)) (*.f64 (pow.f64 N -2) (+.f64 N -1/2)))
✓	91.9%	(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
	91.9%	(.f64 (/.f64 1 N) (.f64 (/.f64 1 N) (+.f64 N -1/2)))
✓	98.6%	(log1p.f64 (pow.f64 (pow.f64 N 1/4) -4))
✓	99.1%	(log1p.f64 (pow.f64 (sqrt.f64 N) -2))
	98.1%	(log1p.f64 (/.f64 1 (pow.f64 (cbrt.f64 N) 3)))
✓	99.8%	(log1p.f64 (/.f64 1 N))
	26.7%	(log1p.f64 (-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 1 N) 1) 2) (+.f64 (/.f64 1 N) 2)) (/.f64 1 (+.f64 (/.f64 1 N) 2))))
	99.5%	(log1p.f64 (*.f64 (pow.f64 N -2) N))
✓	26.7%	(log.f64 (+.f64 1 (/.f64 1 N)))

Compiler

Compiled 421 to 331 computations (21.4% saved)

regimes22.0ms (0.2%)

Counts

32 → 1

Calls

Call 1

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

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

Calls

2 calls:

16.0ms	N
4.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Results

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

Compiler

Compiled 10 to 7 computations (30% saved)

regimes6.0ms (0%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
92.4%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Accuracy

Total -42.3b remaining (-419.6%)

Threshold costs -42.3b (-419.6%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(/.f64 1 N)

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
84.3%	1	`N`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`1-exp`
2×	`+-commutative`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	52
1	20	52

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 17 to 12 computations (29.4% saved)

soundness1.2s (8.8%)

Rules

1630×	`log-prod`
1630×	`log-prod`
1194×	`associate-l`
1176×	`associate-r`
1154×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	75
1	181	75
2	1759	75
0	689	17516
1	1646	15813
2	7213	14725
0	689	17516
1	1646	15813
2	7213	14725
0	28	263
1	396	253
2	5866	253
0	743	17380
1	2045	16501
0	564	12300
1	1425	11219

Stop Event

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

Compiler

Compiled 653 to 486 computations (25.6% saved)

end0.0ms (0%)

preprocess39.0ms (0.3%)

Compiler: Compiled 56 to 40 computations (28.6% saved)

Iter	Nodes	Cost
0	11	64
1	19	52
2	24	52
3	32	52
4	41	52
5	58	52
6	95	52
7	130	52
8	179	52
9	214	52
10	240	52
11	242	52
0	9	41
1	11	41
2	16	41
3	24	41
4	33	41
5	50	41
6	88	41
7	128	41
8	177	41
9	212	41
10	238	41
11	240	41

Iter	Nodes	Cost
0	11	64
1	19	52
2	24	52
3	32	52
4	41	52
5	58	52
6	95	52
7	130	52
8	179	52
9	214	52
10	240	52
11	242	52
0	9	41
1	11	41
2	16	41
3	24	41
4	33	41
5	50	41
6	88	41
7	128	41
8	177	41
9	212	41
10	238	41
11	240	41

analyze0.0ms (0%)

sample1.5s (11.2%)

preprocess445.0ms (3.3%)

eval23.0ms (0.2%)

prune1.0ms (0%)

localize88.0ms (0.6%)

series57.0ms (0.4%)

rewrite258.0ms (1.9%)

simplify254.0ms (1.9%)

eval199.0ms (1.5%)

prune123.0ms (0.9%)

localize796.0ms (5.8%)

series21.0ms (0.2%)

rewrite207.0ms (1.5%)

simplify158.0ms (1.2%)

eval1.4s (10.1%)

prune392.0ms (2.9%)

localize612.0ms (4.5%)

series12.0ms (0.1%)

rewrite194.0ms (1.4%)

simplify281.0ms (2.1%)

eval1.3s (9.7%)

prune873.0ms (6.4%)

localize1.2s (8.7%)

series76.0ms (0.6%)

rewrite200.0ms (1.5%)

simplify551.0ms (4%)

eval902.0ms (6.6%)

prune214.0ms (1.6%)

regimes22.0ms (0.2%)

regimes6.0ms (0%)

regimes4.0ms (0%)

simplify3.0ms (0%)

soundness1.2s (8.8%)

end0.0ms (0%)

preprocess39.0ms (0.3%)

Profiling

Iter	Nodes	Cost
0	11	64
1	19	52
2	24	52
3	32	52
4	41	52
5	58	52
6	95	52
7	130	52
8	179	52
9	214	52
10	240	52
11	242	52
0	9	41
1	11	41
2	16	41
3	24	41
4	33	41
5	50	41
6	88	41
7	128	41
8	177	41
9	212	41
10	238	41
11	240	41