Metrics for 2log (problem 3.3.6)

analyze1.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
100%	50%	0%	0%	0%	50%	0%	2

Compiler

Compiled 9 to 7 computations (22.2% saved)

Mixed Sampling

Click to see full mixed sampling table

op	prec	x	time
const	149	1	0.0ms
const	128	5	0.0ms
ival-add	149	1	0.0ms
ival-add	128	2	0.0ms
ival-log	149	2	0.0ms
ival-log	128	4	0.0ms
ival-sub	128	3	0.0ms

sample2.0s (43.4%)

Results

903.0ms	4998×	body	256	valid
633.0ms	2175×	body	512	valid
500.0ms	1083×	body	1024	valid

Mixed Sampling

Click to see full mixed sampling table

op	prec	x	time
const	1850	1073	1.0ms
const	1700-1800	10	0.0ms
const	1024	1083	1.0ms
const	800-900	3056	3.0ms
const	700-800	202	0.0ms
const	512	3258	4.0ms
const	256	16512	17.0ms
ival-add	1850	1073	7.0ms
ival-add	1700-1800	10	0.0ms
ival-add	800-900	3056	21.0ms
ival-add	700-800	202	2.0ms
ival-add	256	8256	79.0ms
ival-log	1850	2146	127.0ms
ival-log	1700-1800	20	1.0ms
ival-log	800-900	6112	209.0ms
ival-log	700-800	404	13.0ms
ival-log	256	16512	510.0ms
ival-sub	1024	1083	7.0ms
ival-sub	512	3258	23.0ms
ival-sub	256	8256	55.0ms

Bogosity

preprocess390.0ms (8.3%)

Algorithm

1×	egg-herbie

Rules

2592×	`fma-def`
986×	`distribute-rgt-in`
958×	`distribute-lft-in`
834×	`fma-neg`
770×	`associate-+r+`

Problems

143×	`(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))`
112×	`(log.f64 (+.f64 N 1))`
1×	No Errors

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	17	128
1	30	104
2	62	100
3	122	100
4	269	100
5	522	100
6	792	96
7	1278	96
8	2025	96
9	3441	96
10	4114	96
11	4142	96
12	4166	96
13	4166	96
14	6244	96
15	6681	96
16	7033	96
17	7033	96
18	7440	96
19	7987	96

Stop Event

1×	node limit

Calls

Call 1

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

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

Compiler

Compiled 28 to 19 computations (32.1% saved)

Mixed Sampling

Click to see full mixed sampling table

op	prec	x	time
const	2048	10	0.0ms
const	1800-1900	39	0.0ms
const	1024	471	0.0ms
const	800-900	114	0.0ms
const	700-800	9	0.0ms
const	512	947	1.0ms
const	256	1280	1.0ms
ival-add	2048	6	0.0ms
ival-add	1800-1900	39	0.0ms
ival-add	1024	267	2.0ms
ival-add	800-900	114	1.0ms
ival-add	700-800	9	0.0ms
ival-add	512	519	3.0ms
ival-add	256	768	8.0ms
ival-log	2048	6	1.0ms
ival-log	1800-1900	78	5.0ms
ival-log	1024	228	27.0ms
ival-log	800-900	228	7.0ms
ival-log	700-800	18	1.0ms
ival-log	512	396	20.0ms
ival-log	256	768	24.0ms
ival-sub	2048	2	0.0ms
ival-sub	1024	102	1.0ms
ival-sub	512	214	1.0ms
ival-sub	256	256	2.0ms

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.2%	(-.f64 (log1p.f64 N) (log.f64 N))
▶	48.2%	(-.f64 (log1p.f64 N) (log.f64 N))

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize59.0ms (1.2%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	48.2%	(-.f64 (log1p.f64 N) (log.f64 N))

Compiler

Compiled 12 to 5 computations (58.3% saved)

Mixed Sampling

Click to see full mixed sampling table

op	prec	x	time
const	1024	39	0.0ms
const	512	123	0.0ms
const	256	256	0.0ms
ival-log	1850	39	2.0ms
ival-log	800-900	114	4.0ms
ival-log	700-800	9	0.0ms
ival-log	256	256	6.0ms
ival-log1p	1850	39	3.0ms
ival-log1p	800-900	114	4.0ms
ival-log1p	700-800	9	0.0ms
ival-log1p	256	256	6.0ms
ival-sub	1024	39	0.0ms
ival-sub	512	123	1.0ms
ival-sub	256	256	2.0ms

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite108.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	92	21
2	1194	21

Stop Event

1×	node limit

Counts

1 → 95

Calls

Call 1

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

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

simplify84.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1760×	`fma-def`
1352×	`div-sub`
548×	`unswap-sqr`
484×	`hypot-def`
444×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	228	3781
1	569	3613
2	1593	3601
3	6252	3601

Stop Event

1×	node limit

Counts

107 → 136

Calls

Call 1

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

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

eval34.0ms (0.7%)

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

prune23.0ms (0.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	131	5	136
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	131	6	137

Accuracy

99.9%

Counts

137 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.4%	(/.f64 1 N)
▶	55.9%	(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
✓	48.2%	(-.f64 (log1p.f64 N) (log.f64 N))
▶	45.6%	(-.f64 N (log.f64 N))
▶	44.5%	(neg.f64 (log.f64 N))
▶	48.4%	(log.f64 (/.f64 (+.f64 N 1) N))
▶	57.4%	(/.f64 1 N)
▶	55.9%	(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
✓	48.2%	(-.f64 (log1p.f64 N) (log.f64 N))
▶	45.6%	(-.f64 N (log.f64 N))
▶	44.5%	(neg.f64 (log.f64 N))
▶	48.4%	(log.f64 (/.f64 (+.f64 N 1) N))

Compiler

Compiled 132 to 96 computations (27.3% saved)

localize213.0ms (4.5%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	100.0%	(-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2)))
✓	99.4%	(/.f64 1/2 (pow.f64 N 2))
✓	48.4%	(log.f64 (/.f64 (+.f64 N 1) N))
✓	100.0%	(-.f64 N (log.f64 N))

Compiler

Compiled 60 to 36 computations (40% saved)

Mixed Sampling

Click to see full mixed sampling table

op	prec	x	time
const	2048	51	0.0ms
const	1024	1326	1.0ms
const	512	2074	2.0ms
const	256	4352	4.0ms
ival-add	2048	9	0.0ms
ival-add	1024	234	1.0ms
ival-add	512	366	2.0ms
ival-add	256	768	6.0ms
ival-div	2048	21	0.0ms
ival-div	1024	546	6.0ms
ival-div	512	854	7.0ms
ival-div	256	1792	15.0ms
ival-log	2048	6	1.0ms
ival-log	1024	156	10.0ms
ival-log	512	244	12.0ms
ival-log	256	512	16.0ms
ival-neg	2048	3	0.0ms
ival-neg	1024	78	0.0ms
ival-neg	512	122	1.0ms
ival-neg	256	256	1.0ms
ival-pow	2048	9	0.0ms
ival-pow	1024	234	2.0ms
ival-pow	512	366	4.0ms
ival-pow	256	768	7.0ms
ival-sub	2048	6	0.0ms
ival-sub	1024	156	1.0ms
ival-sub	512	244	1.0ms
ival-sub	256	512	3.0ms

series12.0ms (0.3%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	N	@	-inf	(-.f64 N (log.f64 N))
4.0ms	N	@	0	(-.f64 N (log.f64 N))
1.0ms	N	@	inf	(-.f64 N (log.f64 N))
1.0ms	N	@	0	(/.f64 1/2 (pow.f64 N 2))
0.0ms	N	@	-inf	(log.f64 (/.f64 (+.f64 N 1) N))

rewrite114.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1394×	`fma-def`
897×	`log1p-expm1-u`
897×	`expm1-log1p-u`
422×	`log1p-udef`
420×	`expm1-udef`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	87
1	259	85
2	3943	81

Stop Event

1×	node limit

Counts

4 → 240

Calls

Call 1

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

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

simplify119.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1116×	`unswap-sqr`
666×	`fma-neg`
568×	`cancel-sign-sub-inv`
568×	`div-sub`
440×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	487	10975
1	1184	10464
2	3761	10098

Stop Event

1×	node limit

Counts

276 → 338

Calls

Call 1

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

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

eval128.0ms (2.7%)

Compiler: Compiled 5897 to 3924 computations (33.5% saved)

prune46.0ms (1%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	336	2	338
Fresh	0	0	0
Picked	1	4	5
Done	0	1	1
Total	337	7	344

Accuracy

99.9%

Counts

344 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	57.4%	(/.f64 1 N)
✓	48.2%	(-.f64 (log1p.f64 N) (log.f64 N))
✓	45.6%	(-.f64 N (log.f64 N))
▶	29.4%	(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
✓	44.5%	(neg.f64 (log.f64 N))
✓	48.4%	(log.f64 (/.f64 (+.f64 N 1) N))
	4.3%	N
✓	57.4%	(/.f64 1 N)
✓	48.2%	(-.f64 (log1p.f64 N) (log.f64 N))
✓	45.6%	(-.f64 N (log.f64 N))
▶	29.4%	(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
✓	44.5%	(neg.f64 (log.f64 N))
✓	48.4%	(log.f64 (/.f64 (+.f64 N 1) N))
	4.3%	N

Compiler

Compiled 72 to 50 computations (30.6% saved)

localize42.0ms (0.9%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	73.5%	(*.f64 (pow.f64 N -2) (+.f64 N -1/2))

Compiler

Compiled 18 to 13 computations (27.8% saved)

Mixed Sampling

Click to see full mixed sampling table

op	prec	x	time
const	256	1792	2.0ms
ival-add	256	512	3.0ms
ival-mult	256	256	2.0ms
ival-pow	256	512	7.0ms

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite53.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

792×	`unpow-prod-down`
518×	`log1p-expm1-u`
518×	`expm1-log1p-u`
516×	`prod-exp`
508×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	113	25
2	1487	25

Stop Event

1×	node limit

Counts

1 → 54

Calls

Call 1

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

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

simplify64.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

986×	`associate-r`
914×	`associate-l`
778×	`fma-def`
668×	`log-prod`
658×	`distribute-lft-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	162	2526
1	401	2198
2	990	2137
3	4945	2083

Stop Event

1×	node limit

Counts

66 → 96

Calls

Call 1

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

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

eval38.0ms (0.8%)

Compiler: Compiled 1336 to 1014 computations (24.1% saved)

prune16.0ms (0.3%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	1	1
Picked	0	1	1
Done	0	5	5
Total	96	7	103

Accuracy

99.9%

Counts

103 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	57.4%	(/.f64 1 N)
✓	48.2%	(-.f64 (log1p.f64 N) (log.f64 N))
✓	45.6%	(-.f64 N (log.f64 N))
✓	29.4%	(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
✓	44.5%	(neg.f64 (log.f64 N))
✓	48.4%	(log.f64 (/.f64 (+.f64 N 1) N))
	4.3%	N
✓	57.4%	(/.f64 1 N)
✓	48.2%	(-.f64 (log1p.f64 N) (log.f64 N))
✓	45.6%	(-.f64 N (log.f64 N))
✓	29.4%	(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
✓	44.5%	(neg.f64 (log.f64 N))
✓	48.4%	(log.f64 (/.f64 (+.f64 N 1) N))
	4.3%	N

Compiler

Compiled 72 to 50 computations (30.6% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune4.0ms (0.1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	6	6
Total	7	7

Accuracy

99.9%

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	57.4%	(/.f64 1 N)
✓	48.2%	(-.f64 (log1p.f64 N) (log.f64 N))
✓	45.6%	(-.f64 N (log.f64 N))
✓	29.4%	(*.f64 (pow.f64 N -2) (+.f64 N -1/2))
✓	44.5%	(neg.f64 (log.f64 N))
✓	48.4%	(log.f64 (/.f64 (+.f64 N 1) N))
	4.3%	N

Compiler

Compiled 82 to 53 computations (35.4% saved)

regimes19.0ms (0.4%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

2 calls:

12.0ms	N
5.0ms	(-.f64 (log.f64 (+.f64 N 1)) (log.f64 N))

Results

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

Compiler

Compiled 56 to 35 computations (37.5% saved)

regimes11.0ms (0.2%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
99.6%	2	`N`

Compiler

Compiled 27 to 16 computations (40.7% saved)

regimes9.0ms (0.2%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
98.7%	2	`N`

Compiler

Compiled 14 to 7 computations (50% saved)

regimes8.0ms (0.2%)

Counts

3 → 2

Calls

Call 1

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

Outputs
(neg.f64 (log.f64 N))
(/.f64 1 N)

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
98.4%	2	`N`

Compiler

Compiled 10 to 6 computations (40% saved)

regimes4.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

Inputs
N
(/.f64 1 N)

Outputs
(/.f64 1 N)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
57.4%	1	`N`

Compiler

Compiled 7 to 4 computations (42.9% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
N

Outputs
N

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
4.3%	1	`N`

Compiler

Compiled 4 to 2 computations (50% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.1965967650648963e-9	0.0006321014733270403

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch24.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	1581.5245253225614	312832876.1763784

Results

22.0ms

144×

body

256

valid

Compiler

Compiled 129 to 99 computations (23.3% saved)

Mixed Sampling

Click to see full mixed sampling table

op	prec	x	time
const	256	288	0.0ms
ival-add	256	144	1.0ms
ival-log	256	288	7.0ms
ival-sub	256	144	1.0ms

bsearch19.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	0.013298041182832765	3.1636021856427314

Results

18.0ms

112×

body

256

valid

Compiler

Compiled 89 to 65 computations (27% saved)

Mixed Sampling

Click to see full mixed sampling table

op	prec	x	time
const	256	224	0.0ms
ival-add	256	112	1.0ms
ival-log	256	224	5.0ms
ival-sub	256	112	1.0ms

bsearch19.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	0.013298041182832765	3.1636021856427314

Results

18.0ms

112×

body

256

valid

Compiler

Compiled 82 to 65 computations (20.7% saved)

Mixed Sampling

Click to see full mixed sampling table

op	prec	x	time
const	256	224	0.0ms
ival-add	256	112	1.0ms
ival-log	256	224	6.0ms
ival-sub	256	112	1.0ms

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`+-commutative`
12×	`sub-neg`
6×	`neg-mul-1`
6×	`*-commutative`
6×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	221
1	45	221
2	54	221
3	59	221
4	62	221
5	63	221

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 3022314549036573/604462909807314587353088) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) (log.f64 (/.f64 (+.f64 N 1) N)))
(if (<=.f64 N 82000000) (log.f64 (/.f64 (+.f64 N 1) N)) (/.f64 1 N))
(if (<=.f64 N 1) (-.f64 N (log.f64 N)) (/.f64 1 N))
(if (<=.f64 N 2476979795053773/4503599627370496) (neg.f64 (log.f64 N)) (/.f64 1 N))
(/.f64 1 N)
N

Outputs
(if (<=.f64 (-.f64 (log.f64 (+.f64 N 1)) (log.f64 N)) 3022314549036573/604462909807314587353088) (-.f64 (/.f64 1 N) (/.f64 1/2 (pow.f64 N 2))) (log.f64 (/.f64 (+.f64 N 1) N)))
(if (<=.f64 N 82000000) (log.f64 (/.f64 (+.f64 N 1) N)) (/.f64 1 N))
(if (<=.f64 N 1) (-.f64 N (log.f64 N)) (/.f64 1 N))
(if (<=.f64 N 2476979795053773/4503599627370496) (neg.f64 (log.f64 N)) (/.f64 1 N))
(/.f64 1 N)
N

Compiler

Compiled 69 to 50 computations (27.5% saved)

soundness921.0ms (19.5%)

Rules

2592×	`fma-def`
1760×	`fma-def`
1760×	`fma-def`
1760×	`fma-def`
1352×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	128
1	30	104
2	62	100
3	122	100
4	269	100
5	522	100
6	792	96
7	1278	96
8	2025	96
9	3441	96
10	4114	96
11	4142	96
12	4166	96
13	4166	96
14	6244	96
15	6681	96
16	7033	96
17	7033	96
18	7440	96
19	7987	96
0	228	3781
1	569	3613
2	1593	3601
3	6252	3601
0	9	21
1	92	21
2	1194	21
0	228	3781
1	569	3613
2	1593	3601
3	6252	3601
0	228	3781
1	569	3613
2	1593	3601
3	6252	3601

Stop Event

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

Compiler

Compiled 187 to 111 computations (40.6% saved)

end0.0ms (0%)

preprocess70.0ms (1.5%)

Compiler: Compiled 144 to 98 computations (31.9% saved)

analyze1.0ms (0%)

sample2.0s (43.4%)

preprocess390.0ms (8.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize59.0ms (1.2%)

series1.0ms (0%)

rewrite108.0ms (2.3%)

simplify84.0ms (1.8%)

eval34.0ms (0.7%)

prune23.0ms (0.5%)

localize213.0ms (4.5%)

series12.0ms (0.3%)

rewrite114.0ms (2.4%)

simplify119.0ms (2.5%)

eval128.0ms (2.7%)

prune46.0ms (1%)

localize42.0ms (0.9%)

series1.0ms (0%)

rewrite53.0ms (1.1%)

simplify64.0ms (1.4%)

eval38.0ms (0.8%)

prune16.0ms (0.3%)

localize0.0ms (0%)

eval0.0ms (0%)

prune4.0ms (0.1%)

regimes19.0ms (0.4%)

regimes11.0ms (0.2%)

regimes9.0ms (0.2%)

regimes8.0ms (0.2%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

bsearch24.0ms (0.5%)

bsearch19.0ms (0.4%)

bsearch19.0ms (0.4%)

simplify7.0ms (0.1%)

soundness921.0ms (19.5%)

end0.0ms (0%)

preprocess70.0ms (1.5%)

Profiling