Metrics for subtraction fraction

analyze12.0ms (0.5%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	7
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	8
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	9
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	10
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	11
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample730.0ms (32.4%)

Results

716.0ms

8256×

body

256

valid

Bogosity

preprocess116.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

1468×	`div-sub`
1014×	`fma-neg`
962×	`times-frac`
700×	`fma-def`
548×	`associate-/l*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	100
1	60	92
2	164	84
3	479	76
4	1562	76
5	4598	76
6	5644	76
7	5820	76
8	5881	76
9	5905	76
10	5947	76

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(/.f64 (neg.f64 (+.f64 (neg.f64 f) n)) (-.f64 (neg.f64 f) n))
(/.f64 (neg.f64 (+.f64 f (neg.f64 n))) (-.f64 f (neg.f64 n)))
(/.f64 (neg.f64 (+.f64 n f)) (-.f64 n f))

Outputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(/.f64 (-.f64 (neg.f64 f) n) (-.f64 f n))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (neg.f64 (+.f64 (neg.f64 f) n)) (-.f64 (neg.f64 f) n))
(/.f64 (neg.f64 (-.f64 n f)) (-.f64 (neg.f64 f) n))
(/.f64 (-.f64 f n) (-.f64 (neg.f64 f) n))
(/.f64 (-.f64 n f) (+.f64 f n))
(/.f64 (neg.f64 (+.f64 f (neg.f64 n))) (-.f64 f (neg.f64 n)))
(/.f64 (neg.f64 (-.f64 n f)) (-.f64 (neg.f64 f) n))
(/.f64 (-.f64 f n) (-.f64 (neg.f64 f) n))
(/.f64 (-.f64 n f) (+.f64 f n))
(/.f64 (neg.f64 (+.f64 n f)) (-.f64 n f))
(/.f64 (-.f64 (neg.f64 f) n) (-.f64 n f))
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 n f))
(/.f64 (+.f64 f n) (-.f64 f n))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify123.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

2246×	`fma-def`
798×	`times-frac`
692×	`div-sub`
384×	`fma-neg`
318×	`associate-/r*`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	20	23
2	40	23
3	85	23
4	185	23
5	350	23
6	837	19
7	2566	19
8	3637	19
9	4343	19
10	4465	19
11	4512	19
12	4524	19
13	4524	19

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

Inputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Outputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(/.f64 (-.f64 (neg.f64 n) f) (-.f64 f n))
(/.f64 (+.f64 f n) (-.f64 n f))

eval1.0ms (0%)

Compiler: Compiled 25 to 11 computations (56% saved)

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	2	1	3
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	3	1	4

Accurracy

100.0%

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
▶	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))

Compiler

Compiled 18 to 10 computations (44.4% saved)

localize51.0ms (2.3%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))

Compiler

Compiled 18 to 6 computations (66.7% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	f	@	0	(/.f64 (+.f64 f n) (-.f64 n f))
0.0ms	f	@	inf	(/.f64 (+.f64 f n) (-.f64 n f))
0.0ms	n	@	-inf	(/.f64 (+.f64 f n) (-.f64 n f))
0.0ms	n	@	inf	(/.f64 (+.f64 f n) (-.f64 n f))
0.0ms	n	@	0	(/.f64 (+.f64 f n) (-.f64 n f))

rewrite78.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1516×	`prod-diff`
1222×	`unpow-prod-down`
870×	`log-prod`
688×	`fma-def`
614×	`pow-prod-down`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	164	19
2	2561	19

Stop Event

1×	node limit

Counts

1 → 82

Calls

Call 1

Inputs
(/.f64 (+.f64 f n) (-.f64 n f))

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

simplify72.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

972×	`distribute-lft-in`
940×	`distribute-rgt-in`
516×	`sqr-pow`
502×	`log-prod`
370×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	335	3898
1	943	3570
2	3410	3362

Stop Event

1×	node limit

Counts

106 → 158

Calls

Call 1

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

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

eval48.0ms (2.1%)

Compiler: Compiled 2909 to 1050 computations (63.9% saved)

prune23.0ms (1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	153	5	158
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	153	6	159

Accurracy

100.0%

Counts

159 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.6%	(/.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)) (pow.f64 (+.f64 f n) -1/2))
✓	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
▶	54.4%	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
▶	48.1%	(+.f64 (*.f64 2 (/.f64 f n)) 1)
	47.0%	1
	53.3%	-1
▶	48.6%	(/.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)) (pow.f64 (+.f64 f n) -1/2))
✓	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
▶	54.4%	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
▶	48.1%	(+.f64 (*.f64 2 (/.f64 f n)) 1)
	47.0%	1
	53.3%	-1

Compiler

Compiled 98 to 68 computations (30.6% saved)

localize116.0ms (5.2%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)) (pow.f64 (+.f64 f n) -1/2))
✓	99.8%	(/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))
✓	100.0%	(*.f64 -2 (/.f64 n f))

Compiler

Compiled 81 to 31 computations (61.7% saved)

series11.0ms (0.5%)

Counts

3 → 32

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	n	@	0	(/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))
1.0ms	f	@	inf	(/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))
1.0ms	f	@	-inf	(/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))
1.0ms	n	@	inf	(/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))
1.0ms	n	@	-inf	(/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))

rewrite105.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1624×	`prod-diff`
746×	`fma-def`
618×	`expm1-udef`
614×	`log1p-udef`
356×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	77
1	345	55
2	4963	55

Stop Event

1×	node limit

Counts

3 → 96

Calls

Call 1

Inputs
(*.f64 -2 (/.f64 n f))
(/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f))
(/.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)) (pow.f64 (+.f64 f n) -1/2))

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

simplify119.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

1036×	`unswap-sqr`
500×	`fma-neg`
468×	`log-prod`
464×	`div-sub`
352×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	391	4652
1	1065	4194
2	4034	4034

Stop Event

1×	node limit

Counts

128 → 185

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 1 n))
(+.f64 (.f64 f (+.f64 (sqrt.f64 (/.f64 1 (pow.f64 n 3))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 n 3)))))) (sqrt.f64 (/.f64 1 n)))
(+.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 n 5)))) (+.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 n 5)))) (sqrt.f64 (/.f64 1 (pow.f64 n 5)))))) (+.f64 (.f64 f (+.f64 (sqrt.f64 (/.f64 1 (pow.f64 n 3))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 n 3)))))) (sqrt.f64 (/.f64 1 n))))
(+.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 n 5)))) (+.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 n 5)))) (sqrt.f64 (/.f64 1 (pow.f64 n 5)))))) (+.f64 (.f64 f (+.f64 (sqrt.f64 (/.f64 1 (pow.f64 n 3))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 n 3)))))) (+.f64 (.f64 (+.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 n 7)))) (+.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 n 7)))) (+.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 n 7)))) (sqrt.f64 (/.f64 1 (pow.f64 n 7)))))) (pow.f64 f 3)) (sqrt.f64 (/.f64 1 n)))))
(*.f64 -1 (sqrt.f64 (/.f64 1 f)))
(+.f64 (.f64 -1 (sqrt.f64 (/.f64 1 f))) (.f64 n (+.f64 (.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 f 3)))) (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 f 3)))))))
(+.f64 (.f64 -1 (sqrt.f64 (/.f64 1 f))) (+.f64 (.f64 (+.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 f 5)))) (+.f64 (.f64 1/8 (sqrt.f64 (/.f64 1 (pow.f64 f 5)))) (.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 f 5)))))) (pow.f64 n 2)) (.f64 n (+.f64 (.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 f 3)))) (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 f 3))))))))
(+.f64 (.f64 -1 (sqrt.f64 (/.f64 1 f))) (+.f64 (.f64 (+.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 f 5)))) (+.f64 (.f64 1/8 (sqrt.f64 (/.f64 1 (pow.f64 f 5)))) (.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 f 5)))))) (pow.f64 n 2)) (+.f64 (.f64 n (+.f64 (.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 f 3)))) (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 f 3)))))) (.f64 (pow.f64 n 3) (+.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 f 7)))) (+.f64 (.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 f 7)))) (+.f64 (.f64 1/8 (sqrt.f64 (/.f64 1 (pow.f64 f 7)))) (*.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 f 7)))))))))))
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2)))))
(+.f64 (.f64 2 (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (+.f64 (.f64 2 (/.f64 f n)) (+.f64 1 (*.f64 2 (/.f64 (pow.f64 f 2) (pow.f64 n 2))))))
-1
(-.f64 (*.f64 -1 (/.f64 n f)) (+.f64 1 (/.f64 n f)))
(-.f64 (+.f64 (/.f64 (.f64 n (-.f64 (.f64 -1 n) n)) (pow.f64 f 2)) (*.f64 -1 (/.f64 n f))) (+.f64 1 (/.f64 n f)))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 n 2) (-.f64 (.f64 -1 n) n)) (pow.f64 f 3)) (+.f64 (/.f64 (.f64 n (-.f64 (.f64 -1 n) n)) (pow.f64 f 2)) (*.f64 -1 (/.f64 n f)))) (+.f64 1 (/.f64 n f)))
-1
(-.f64 (.f64 -1 (/.f64 (-.f64 n (.f64 -1 n)) f)) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 n (-.f64 n (.f64 -1 n))) (pow.f64 f 2))) (.f64 -1 (/.f64 (-.f64 n (*.f64 -1 n)) f))) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (.f64 n (-.f64 n (.f64 -1 n))) (pow.f64 f 2))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 n 2) (-.f64 n (.f64 -1 n))) (pow.f64 f 3))) (.f64 -1 (/.f64 (-.f64 n (.f64 -1 n)) f)))) 1)
-1
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (.f64 -2 (/.f64 n f))) 1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 n 3) (pow.f64 f 3))) (+.f64 (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2))) (*.f64 -2 (/.f64 n f)))) 1)
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 (/.f64 (.f64 f (-.f64 f (.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (/.f64 f n))) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 1 (+.f64 (/.f64 f n) (+.f64 (/.f64 (.f64 (pow.f64 f 2) (-.f64 f (.f64 -1 f))) (pow.f64 n 3)) (/.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (pow.f64 n 2))))) (*.f64 -1 (/.f64 f n)))
1
(-.f64 (+.f64 1 (/.f64 f n)) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 (/.f64 (.f64 f (-.f64 f (.f64 -1 f))) (pow.f64 n 2)) (+.f64 1 (/.f64 f n))) (*.f64 -1 (/.f64 f n)))
(-.f64 (+.f64 1 (+.f64 (/.f64 (.f64 (-.f64 f (.f64 -1 f)) (pow.f64 f 2)) (pow.f64 n 3)) (+.f64 (/.f64 f n) (/.f64 (.f64 (-.f64 f (.f64 -1 f)) f) (pow.f64 n 2))))) (*.f64 -1 (/.f64 f n)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -2 (/.f64 n f)))) 1)
(/.f64 -2 (/.f64 f n))
(/.f64 1 (/.f64 f (*.f64 -2 n)))
(/.f64 (*.f64 -2 n) f)
(/.f64 (neg.f64 (*.f64 -2 n)) (neg.f64 f))
(/.f64 (*.f64 -2 (neg.f64 n)) (neg.f64 f))
(/.f64 (*.f64 (neg.f64 n) -2) (neg.f64 f))
(/.f64 (/.f64 (*.f64 -2 n) 1) f)
(/.f64 (/.f64 (*.f64 -2 n) (pow.f64 (cbrt.f64 f) 2)) (cbrt.f64 f))
(/.f64 (/.f64 (*.f64 -2 n) (sqrt.f64 f)) (sqrt.f64 f))
(pow.f64 (*.f64 -2 (/.f64 n f)) 1)
(pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 n f))) 3)
(pow.f64 (pow.f64 (*.f64 -2 (/.f64 n f)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 -2 (/.f64 n f))) 2)
(sqrt.f64 (*.f64 (pow.f64 (/.f64 n f) 2) 4))
(log.f64 (pow.f64 (exp.f64 (/.f64 n f)) -2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -2 (/.f64 n f)))))
(cbrt.f64 (pow.f64 (*.f64 -2 (/.f64 n f)) 3))
(expm1.f64 (log1p.f64 (*.f64 -2 (/.f64 n f))))
(exp.f64 (log.f64 (*.f64 -2 (/.f64 n f))))
(exp.f64 (.f64 (log.f64 (.f64 -2 (/.f64 n f))) 1))
(log1p.f64 (expm1.f64 (*.f64 -2 (/.f64 n f))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f)))) 1)
(*.f64 (sqrt.f64 (+.f64 n f)) (/.f64 1 (-.f64 n f)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f)) 1)
(*.f64 1 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f)))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))) (cbrt.f64 (/.f64 (+.f64 n f) (pow.f64 (-.f64 n f) 2))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 n f) (pow.f64 (-.f64 n f) 2))) (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))))
(.f64 (cbrt.f64 (+.f64 n f)) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 n f))) (/.f64 1 (-.f64 n f))))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))) (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))))
(.f64 (pow.f64 (+.f64 n f) 1/4) (.f64 (pow.f64 (+.f64 n f) 1/4) (/.f64 1 (-.f64 n f))))
(*.f64 (neg.f64 (sqrt.f64 (+.f64 n f))) (/.f64 1 (neg.f64 (-.f64 n f))))
(*.f64 (/.f64 1 (-.f64 n f)) (sqrt.f64 (+.f64 n f)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (sqrt.f64 (+.f64 n f)) (cbrt.f64 (-.f64 n f))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 n f))) (/.f64 (sqrt.f64 (+.f64 n f)) (sqrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 n f)) 1) (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 n f))) (-.f64 n f)))
(*.f64 (/.f64 (cbrt.f64 (+.f64 n f)) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 n f)) (sqrt.f64 (-.f64 n f))) (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 n f))) (sqrt.f64 (-.f64 n f))))
(*.f64 (/.f64 (pow.f64 (+.f64 n f) 1/4) 1) (/.f64 (pow.f64 (+.f64 n f) 1/4) (-.f64 n f)))
(*.f64 (/.f64 (pow.f64 (+.f64 n f) 1/4) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (pow.f64 (+.f64 n f) 1/4) (cbrt.f64 (-.f64 n f))))
(.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 f (+.f64 n f) (.f64 n n)))
(.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 (.f64 n n) (*.f64 f f))) (+.f64 n f))
(pow.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f)) 1)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))) 2)
(pow.f64 (/.f64 (-.f64 n f) (sqrt.f64 (+.f64 n f))) -1)
(neg.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (neg.f64 (-.f64 n f))))
(sqrt.f64 (/.f64 (+.f64 n f) (pow.f64 (-.f64 n f) 2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f)))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 n f) 3/2) (pow.f64 (-.f64 n f) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))) 1))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 n f) (-.f64 n f)))) 1)
(*.f64 (sqrt.f64 (+.f64 n f)) (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f)))
(.f64 (sqrt.f64 (+.f64 n f)) (/.f64 1 (.f64 (-.f64 n f) (pow.f64 (+.f64 n f) -1/2))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f)) (sqrt.f64 (+.f64 n f)))
(*.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 1)
(*.f64 1 (/.f64 (+.f64 n f) (-.f64 n f)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2) (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(.f64 (cbrt.f64 (/.f64 (+.f64 n f) (pow.f64 (-.f64 n f) 2))) (.f64 (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))) (sqrt.f64 (+.f64 n f))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) (sqrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(.f64 (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))) (.f64 (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))) (sqrt.f64 (+.f64 n f))))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (+.f64 n f))) (-.f64 n f)) (/.f64 1 (neg.f64 (pow.f64 (+.f64 n f) -1/2))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 n f)) (pow.f64 (+.f64 n f) -1/2)) (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 n f))) (-.f64 n f)))
(*.f64 (/.f64 (pow.f64 (+.f64 n f) 1/4) (pow.f64 (+.f64 n f) -1/2)) (/.f64 (pow.f64 (+.f64 n f) 1/4) (-.f64 n f)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 n f)) 1) (/.f64 (/.f64 1 (-.f64 n f)) (pow.f64 (+.f64 n f) -1/2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (cbrt.f64 (pow.f64 (+.f64 n f) -1))) (/.f64 (/.f64 1 (-.f64 n f)) (cbrt.f64 (pow.f64 (+.f64 n f) -1/2))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (pow.f64 (+.f64 n f) -1/4)) (/.f64 (/.f64 1 (-.f64 n f)) (pow.f64 (+.f64 n f) -1/4)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 n f) -1))) (/.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f)) (cbrt.f64 (pow.f64 (+.f64 n f) -1/2))))
(*.f64 (/.f64 1 (pow.f64 (+.f64 n f) -1/4)) (/.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f)) (pow.f64 (+.f64 n f) -1/4)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (+.f64 n f) (pow.f64 (-.f64 n f) 2))) 1) (/.f64 (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))) (pow.f64 (+.f64 n f) -1/2)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (+.f64 n f) (pow.f64 (-.f64 n f) 2))) (cbrt.f64 (pow.f64 (+.f64 n f) -1))) (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (+.f64 n f) (pow.f64 (-.f64 n f) 2))) (pow.f64 (+.f64 n f) -1/4)) (/.f64 (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))) (pow.f64 (+.f64 n f) -1/4)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))) 1) (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))) (pow.f64 (+.f64 n f) -1/2)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))) (cbrt.f64 (pow.f64 (+.f64 n f) -1))) (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))) (cbrt.f64 (pow.f64 (+.f64 n f) -1/2))))
(pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2)
(pow.f64 (/.f64 1 (/.f64 (+.f64 n f) (-.f64 n f))) -1)
(neg.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f)) (neg.f64 (pow.f64 (+.f64 n f) -1/2))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 n f) (-.f64 n f)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f)) 3) (pow.f64 (pow.f64 (+.f64 n f) -1/2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(exp.f64 (log.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 n f) (-.f64 n f))))

Outputs
(sqrt.f64 (/.f64 1 n))
(+.f64 (.f64 f (+.f64 (sqrt.f64 (/.f64 1 (pow.f64 n 3))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 n 3)))))) (sqrt.f64 (/.f64 1 n)))
(fma.f64 f (*.f64 3/2 (sqrt.f64 (/.f64 1 (pow.f64 n 3)))) (sqrt.f64 (/.f64 1 n)))
(fma.f64 f (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 n 3))) 3/2) (sqrt.f64 (/.f64 1 n)))
(+.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 n 5)))) (+.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 n 5)))) (sqrt.f64 (/.f64 1 (pow.f64 n 5)))))) (+.f64 (.f64 f (+.f64 (sqrt.f64 (/.f64 1 (pow.f64 n 3))) (*.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 n 3)))))) (sqrt.f64 (/.f64 1 n))))
(fma.f64 (.f64 f f) (fma.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 n 5))) (.f64 3/2 (sqrt.f64 (/.f64 1 (pow.f64 n 5))))) (fma.f64 f (*.f64 3/2 (sqrt.f64 (/.f64 1 (pow.f64 n 3)))) (sqrt.f64 (/.f64 1 n))))
(fma.f64 (.f64 f f) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 n 5))) 11/8) (fma.f64 f (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 n 3))) 3/2) (sqrt.f64 (/.f64 1 n))))
(+.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 n 5)))) (+.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 n 5)))) (sqrt.f64 (/.f64 1 (pow.f64 n 5)))))) (+.f64 (.f64 f (+.f64 (sqrt.f64 (/.f64 1 (pow.f64 n 3))) (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 n 3)))))) (+.f64 (.f64 (+.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 n 7)))) (+.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 n 7)))) (+.f64 (*.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 n 7)))) (sqrt.f64 (/.f64 1 (pow.f64 n 7)))))) (pow.f64 f 3)) (sqrt.f64 (/.f64 1 n)))))
(fma.f64 (.f64 f f) (fma.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 n 5))) (.f64 3/2 (sqrt.f64 (/.f64 1 (pow.f64 n 5))))) (fma.f64 f (.f64 3/2 (sqrt.f64 (/.f64 1 (pow.f64 n 3)))) (fma.f64 (fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 n 7))) (fma.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 n 7))) (.f64 17/16 (sqrt.f64 (/.f64 1 (pow.f64 n 7)))))) (pow.f64 f 3) (sqrt.f64 (/.f64 1 n)))))
(fma.f64 (.f64 f f) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 n 5))) 11/8) (fma.f64 f (.f64 (sqrt.f64 (/.f64 1 (pow.f64 n 3))) 3/2) (fma.f64 (fma.f64 1/2 (sqrt.f64 (/.f64 1 (pow.f64 n 7))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 n 7))) 15/16)) (pow.f64 f 3) (sqrt.f64 (/.f64 1 n)))))
(*.f64 -1 (sqrt.f64 (/.f64 1 f)))
(neg.f64 (sqrt.f64 (/.f64 1 f)))
(+.f64 (.f64 -1 (sqrt.f64 (/.f64 1 f))) (.f64 n (+.f64 (.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 f 3)))) (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 f 3)))))))
(fma.f64 -1 (sqrt.f64 (/.f64 1 f)) (.f64 n (.f64 (sqrt.f64 (/.f64 1 (pow.f64 f 3))) -3/2)))
(-.f64 (.f64 n (.f64 (sqrt.f64 (/.f64 1 (pow.f64 f 3))) -3/2)) (sqrt.f64 (/.f64 1 f)))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 f 3))) (.f64 -3/2 n)) (sqrt.f64 (/.f64 1 f)))
(+.f64 (.f64 -1 (sqrt.f64 (/.f64 1 f))) (+.f64 (.f64 (+.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 f 5)))) (+.f64 (.f64 1/8 (sqrt.f64 (/.f64 1 (pow.f64 f 5)))) (.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 f 5)))))) (pow.f64 n 2)) (.f64 n (+.f64 (.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 f 3)))) (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 f 3))))))))
(fma.f64 -1 (sqrt.f64 (/.f64 1 f)) (fma.f64 (fma.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 f 5))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 f 5))) -7/8)) (.f64 n n) (.f64 n (.f64 (sqrt.f64 (/.f64 1 (pow.f64 f 3))) -3/2))))
(-.f64 (fma.f64 n (.f64 (sqrt.f64 (/.f64 1 (pow.f64 f 3))) -3/2) (.f64 n (.f64 n (.f64 (sqrt.f64 (/.f64 1 (pow.f64 f 5))) -11/8)))) (sqrt.f64 (/.f64 1 f)))
(-.f64 (fma.f64 n (.f64 (sqrt.f64 (/.f64 1 (pow.f64 f 3))) -3/2) (.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 f 5))) -11/8) (.f64 n n))) (sqrt.f64 (/.f64 1 f)))
(+.f64 (.f64 -1 (sqrt.f64 (/.f64 1 f))) (+.f64 (.f64 (+.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 f 5)))) (+.f64 (.f64 1/8 (sqrt.f64 (/.f64 1 (pow.f64 f 5)))) (.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 f 5)))))) (pow.f64 n 2)) (+.f64 (.f64 n (+.f64 (.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 f 3)))) (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 f 3)))))) (.f64 (pow.f64 n 3) (+.f64 (.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 f 7)))) (+.f64 (.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 f 7)))) (+.f64 (.f64 1/8 (sqrt.f64 (/.f64 1 (pow.f64 f 7)))) (*.f64 -1/16 (sqrt.f64 (/.f64 1 (pow.f64 f 7)))))))))))
(fma.f64 -1 (sqrt.f64 (/.f64 1 f)) (fma.f64 (fma.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 f 5))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 f 5))) -7/8)) (.f64 n n) (fma.f64 n (.f64 (sqrt.f64 (/.f64 1 (pow.f64 f 3))) -3/2) (.f64 (pow.f64 n 3) (fma.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 f 7))) (fma.f64 -1 (sqrt.f64 (/.f64 1 (pow.f64 f 7))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 f 7))) 1/16)))))))
(-.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 f 5))) -11/8) (.f64 n n) (fma.f64 n (.f64 (sqrt.f64 (/.f64 1 (pow.f64 f 3))) -3/2) (.f64 (pow.f64 n 3) (fma.f64 -1/2 (sqrt.f64 (/.f64 1 (pow.f64 f 7))) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 f 7))) -15/16))))) (sqrt.f64 (/.f64 1 f)))
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(/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f)) 3))
(/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 n f) 3/2) (pow.f64 (-.f64 n f) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))))
(/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))))
(/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))) 1))
(/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))))
(/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 n f) (-.f64 n f)))) 1)
(/.f64 (+.f64 n f) (-.f64 n f))
(*.f64 (sqrt.f64 (+.f64 n f)) (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(.f64 (sqrt.f64 (+.f64 n f)) (/.f64 1 (.f64 (-.f64 n f) (pow.f64 (+.f64 n f) -1/2))))
(/.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f)) (pow.f64 (+.f64 n f) -1/2))
(/.f64 (sqrt.f64 (+.f64 n f)) (*.f64 (-.f64 n f) (pow.f64 (+.f64 n f) -1/2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f)) (sqrt.f64 (+.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(*.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 1)
(/.f64 (+.f64 n f) (-.f64 n f))
(*.f64 1 (/.f64 (+.f64 n f) (-.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(*.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2))
(/.f64 (+.f64 n f) (-.f64 n f))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2) (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(/.f64 (+.f64 n f) (-.f64 n f))
(.f64 (cbrt.f64 (/.f64 (+.f64 n f) (pow.f64 (-.f64 n f) 2))) (.f64 (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))) (sqrt.f64 (+.f64 n f))))
(.f64 (cbrt.f64 (/.f64 (+.f64 n f) (pow.f64 (-.f64 n f) 2))) (.f64 (sqrt.f64 (+.f64 n f)) (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f)))))
(.f64 (sqrt.f64 (+.f64 n f)) (.f64 (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))) (cbrt.f64 (/.f64 (+.f64 n f) (pow.f64 (-.f64 n f) 2)))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) (sqrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(/.f64 (+.f64 n f) (-.f64 n f))
(.f64 (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))) (.f64 (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))) (sqrt.f64 (+.f64 n f))))
(/.f64 (+.f64 n f) (-.f64 n f))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (+.f64 n f))) (-.f64 n f)) (/.f64 1 (neg.f64 (pow.f64 (+.f64 n f) -1/2))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 n f))) (neg.f64 (*.f64 (-.f64 n f) (pow.f64 (+.f64 n f) -1/2))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 n f))) (*.f64 (fma.f64 n -1 f) (pow.f64 (+.f64 n f) -1/2)))
(*.f64 (/.f64 (cbrt.f64 (+.f64 n f)) (pow.f64 (+.f64 n f) -1/2)) (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 n f))) (-.f64 n f)))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (+.f64 n f))) (-.f64 n f)) (/.f64 (cbrt.f64 (+.f64 n f)) (pow.f64 (+.f64 n f) -1/2)))
(/.f64 (/.f64 (cbrt.f64 (+.f64 n f)) (pow.f64 (+.f64 n f) -1/2)) (/.f64 (-.f64 n f) (cbrt.f64 (sqrt.f64 (+.f64 n f)))))
(*.f64 (/.f64 (pow.f64 (+.f64 n f) 1/4) (pow.f64 (+.f64 n f) -1/2)) (/.f64 (pow.f64 (+.f64 n f) 1/4) (-.f64 n f)))
(/.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f)) (pow.f64 (+.f64 n f) -1/2))
(/.f64 (sqrt.f64 (+.f64 n f)) (*.f64 (-.f64 n f) (pow.f64 (+.f64 n f) -1/2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 n f)) 1) (/.f64 (/.f64 1 (-.f64 n f)) (pow.f64 (+.f64 n f) -1/2)))
(/.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f)) (pow.f64 (+.f64 n f) -1/2))
(/.f64 (sqrt.f64 (+.f64 n f)) (*.f64 (-.f64 n f) (pow.f64 (+.f64 n f) -1/2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (cbrt.f64 (pow.f64 (+.f64 n f) -1))) (/.f64 (/.f64 1 (-.f64 n f)) (cbrt.f64 (pow.f64 (+.f64 n f) -1/2))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 n f)) (/.f64 (/.f64 1 (-.f64 n f)) (cbrt.f64 (pow.f64 (+.f64 n f) -1/2)))) (cbrt.f64 (/.f64 1 (+.f64 n f))))
(/.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (*.f64 (-.f64 n f) (cbrt.f64 (pow.f64 (+.f64 n f) -1/2)))) (cbrt.f64 (/.f64 1 (+.f64 n f))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (pow.f64 (+.f64 n f) -1/4)) (/.f64 (/.f64 1 (-.f64 n f)) (pow.f64 (+.f64 n f) -1/4)))
(/.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f)) (pow.f64 (+.f64 n f) -1/2))
(/.f64 (sqrt.f64 (+.f64 n f)) (*.f64 (-.f64 n f) (pow.f64 (+.f64 n f) -1/2)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 n f) -1))) (/.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f)) (cbrt.f64 (pow.f64 (+.f64 n f) -1/2))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 n f)) (/.f64 (/.f64 1 (-.f64 n f)) (cbrt.f64 (pow.f64 (+.f64 n f) -1/2)))) (cbrt.f64 (/.f64 1 (+.f64 n f))))
(/.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (*.f64 (-.f64 n f) (cbrt.f64 (pow.f64 (+.f64 n f) -1/2)))) (cbrt.f64 (/.f64 1 (+.f64 n f))))
(*.f64 (/.f64 1 (pow.f64 (+.f64 n f) -1/4)) (/.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f)) (pow.f64 (+.f64 n f) -1/4)))
(/.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f)) (pow.f64 (+.f64 n f) -1/2))
(/.f64 (sqrt.f64 (+.f64 n f)) (*.f64 (-.f64 n f) (pow.f64 (+.f64 n f) -1/2)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (+.f64 n f) (pow.f64 (-.f64 n f) 2))) 1) (/.f64 (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))) (pow.f64 (+.f64 n f) -1/2)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 n f) (pow.f64 (-.f64 n f) 2))) (/.f64 (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))) (pow.f64 (+.f64 n f) -1/2)))
(/.f64 (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))) (/.f64 (pow.f64 (+.f64 n f) -1/2) (cbrt.f64 (/.f64 (+.f64 n f) (pow.f64 (-.f64 n f) 2)))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (+.f64 n f) (pow.f64 (-.f64 n f) 2))) (cbrt.f64 (pow.f64 (+.f64 n f) -1))) (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) (/.f64 (cbrt.f64 (/.f64 (+.f64 n f) (pow.f64 (-.f64 n f) 2))) (cbrt.f64 (/.f64 1 (+.f64 n f)))))
(/.f64 (cbrt.f64 (/.f64 (+.f64 n f) (pow.f64 (-.f64 n f) 2))) (/.f64 (cbrt.f64 (/.f64 1 (+.f64 n f))) (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f)))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (+.f64 n f) (pow.f64 (-.f64 n f) 2))) (pow.f64 (+.f64 n f) -1/4)) (/.f64 (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))) (pow.f64 (+.f64 n f) -1/4)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 n f) (pow.f64 (-.f64 n f) 2))) (/.f64 (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))) (pow.f64 (+.f64 n f) -1/2)))
(/.f64 (cbrt.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))) (/.f64 (pow.f64 (+.f64 n f) -1/2) (cbrt.f64 (/.f64 (+.f64 n f) (pow.f64 (-.f64 n f) 2)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))) 1) (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))) (pow.f64 (+.f64 n f) -1/2)))
(/.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f)) (pow.f64 (+.f64 n f) -1/2))
(/.f64 (sqrt.f64 (+.f64 n f)) (*.f64 (-.f64 n f) (pow.f64 (+.f64 n f) -1/2)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))) (cbrt.f64 (pow.f64 (+.f64 n f) -1))) (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f))) (cbrt.f64 (pow.f64 (+.f64 n f) -1/2))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 n f)) (/.f64 (/.f64 1 (-.f64 n f)) (cbrt.f64 (pow.f64 (+.f64 n f) -1/2)))) (cbrt.f64 (/.f64 1 (+.f64 n f))))
(/.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (*.f64 (-.f64 n f) (cbrt.f64 (pow.f64 (+.f64 n f) -1/2)))) (cbrt.f64 (/.f64 1 (+.f64 n f))))
(pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 1)
(/.f64 (+.f64 n f) (-.f64 n f))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 3)
(/.f64 (+.f64 n f) (-.f64 n f))
(pow.f64 (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 3) 1/3)
(/.f64 (+.f64 n f) (-.f64 n f))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 2)
(/.f64 (+.f64 n f) (-.f64 n f))
(pow.f64 (/.f64 1 (/.f64 (+.f64 n f) (-.f64 n f))) -1)
(/.f64 (+.f64 n f) (-.f64 n f))
(neg.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f)) (neg.f64 (pow.f64 (+.f64 n f) -1/2))))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (+.f64 n f))) (-.f64 n f)) (/.f64 1 (neg.f64 (pow.f64 (+.f64 n f) -1/2))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 n f))) (neg.f64 (*.f64 (-.f64 n f) (pow.f64 (+.f64 n f) -1/2))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 n f))) (*.f64 (fma.f64 n -1 f) (pow.f64 (+.f64 n f) -1/2)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 2))
(/.f64 (+.f64 n f) (-.f64 n f))
(log.f64 (exp.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(/.f64 (+.f64 n f) (-.f64 n f))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 n f) (-.f64 n f)))))
(/.f64 (+.f64 n f) (-.f64 n f))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) 3))
(/.f64 (+.f64 n f) (-.f64 n f))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 (+.f64 n f)) (-.f64 n f)) 3) (pow.f64 (pow.f64 (+.f64 n f) -1/2) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(/.f64 (+.f64 n f) (-.f64 n f))
(exp.f64 (log.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(/.f64 (+.f64 n f) (-.f64 n f))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 n f) (-.f64 n f))) 1))
(/.f64 (+.f64 n f) (-.f64 n f))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 n f) (-.f64 n f))))
(/.f64 (+.f64 n f) (-.f64 n f))

eval58.0ms (2.6%)

Compiler: Compiled 3789 to 1912 computations (49.5% saved)

prune26.0ms (1.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	185	0	185
Fresh	0	2	2
Picked	0	3	3
Done	0	1	1
Total	185	6	191

Accurracy

100.0%

Counts

191 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	48.6%	(/.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)) (pow.f64 (+.f64 f n) -1/2))
✓	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
✓	54.4%	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
✓	48.1%	(+.f64 (*.f64 2 (/.f64 f n)) 1)
	47.0%	1
	53.3%	-1
✓	48.6%	(/.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)) (pow.f64 (+.f64 f n) -1/2))
✓	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
✓	54.4%	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
✓	48.1%	(+.f64 (*.f64 2 (/.f64 f n)) 1)
	47.0%	1
	53.3%	-1

Compiler

Compiled 98 to 68 computations (30.6% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune4.0ms (0.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	4	4
Total	6	6

Accurracy

100.0%

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	48.6%	(/.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)) (pow.f64 (+.f64 f n) -1/2))
✓	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
✓	54.4%	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
✓	48.1%	(+.f64 (*.f64 2 (/.f64 f n)) 1)
	47.0%	1
	53.3%	-1
✓	48.6%	(/.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)) (pow.f64 (+.f64 f n) -1/2))
✓	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
✓	54.4%	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
✓	48.1%	(+.f64 (*.f64 2 (/.f64 f n)) 1)
	47.0%	1
	53.3%	-1

Compiler

Compiled 98 to 68 computations (30.6% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune5.0ms (0.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	4	4
Total	6	6

Accurracy

100.0%

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	48.6%	(/.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)) (pow.f64 (+.f64 f n) -1/2))
✓	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
✓	54.4%	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
✓	48.1%	(+.f64 (*.f64 2 (/.f64 f n)) 1)
	47.0%	1
	53.3%	-1

Compiler

Compiled 96 to 59 computations (38.5% saved)

regimes15.0ms (0.6%)

Counts

7 → 1

Calls

Call 1

Inputs
-1
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(/.f64 (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)) (pow.f64 (+.f64 f n) -1/2))

Outputs
(/.f64 (+.f64 f n) (-.f64 n f))

Calls

3 calls:

5.0ms	n
5.0ms	f
2.0ms	(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))

Results

Accuracy	Segments	Branch
100.0%	1	`f`
100.0%	1	`n`
100.0%	1	`(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))`

Compiler

Compiled 63 to 35 computations (44.4% saved)

regimes28.0ms (1.3%)

Counts

4 → 3

Calls

Call 1

Inputs
-1
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(-.f64 (*.f64 -2 (/.f64 n f)) 1)

Outputs
(+.f64 (*.f64 2 (/.f64 f n)) 1)
(-.f64 (*.f64 -2 (/.f64 n f)) 1)
(+.f64 (*.f64 2 (/.f64 f n)) 1)

Calls

2 calls:

17.0ms	f
10.0ms	n

Results

Accuracy	Segments	Branch
79.9%	5	`f`
77.8%	3	`n`

Compiler

Compiled 24 to 18 computations (25% saved)

regimes10.0ms (0.4%)

Counts

3 → 3

Calls

Call 1

Inputs
-1
1
(+.f64 (*.f64 2 (/.f64 f n)) 1)

Outputs
(+.f64 (*.f64 2 (/.f64 f n)) 1)
-1
(+.f64 (*.f64 2 (/.f64 f n)) 1)

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
77.1%	3	`n`

Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes25.0ms (1.1%)

Counts

2 → 3

Calls

Call 1

Inputs
-1
1

Outputs
1
-1
1

Calls

2 calls:

15.0ms	f
9.0ms	n

Results

Accuracy	Segments	Branch
79.2%	5	`f`
76.7%	3	`n`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes5.0ms (0.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
-1

Outputs
-1

Calls

2 calls:

2.0ms	n
2.0ms	f

Results

Accuracy	Segments	Branch
53.3%	1	`f`
53.3%	1	`n`

Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch31.0ms (1.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.7599152296421286e-17	0.00013450791774082563
15.0ms	-1.7737179414364788e-11	-2.334687092835654e-16

Results

28.0ms

304×

body

256

valid

Compiler

Compiled 395 to 314 computations (20.5% saved)

bsearch30.0ms (1.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.7599152296421286e-17	0.00013450791774082563
15.0ms	-1.7737179414364788e-11	-2.334687092835654e-16

Results

27.0ms

304×

body

256

valid

Compiler

Compiled 281 to 238 computations (15.3% saved)

bsearch33.0ms (1.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
16.0ms	1.7599152296421286e-17	0.00013450791774082563
16.0ms	-1.7737179414364788e-11	-2.334687092835654e-16

Results

30.0ms

304×

body

256

valid

Compiler

Compiled 167 to 162 computations (3% saved)

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

12×	`+-commutative`
8×	`sub-neg`
8×	`*-commutative`
6×	`if-if-or-not`
4×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	149
1	60	149
2	66	149
3	73	149
4	74	149

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 n -5415987671873539/309485009821345068724781056) (+.f64 (.f64 2 (/.f64 f n)) 1) (if (<=.f64 n 4555619344570199/4951760157141521099596496896) (-.f64 (.f64 -2 (/.f64 n f)) 1) (+.f64 (*.f64 2 (/.f64 f n)) 1)))
(if (<=.f64 n -4852724953998691/19807040628566084398385987584) (+.f64 (.f64 2 (/.f64 f n)) 1) (if (<=.f64 n 6084722881095501/633825300114114700748351602688) -1 (+.f64 (.f64 2 (/.f64 f n)) 1)))
(if (<=.f64 n -6591783121186793/10141204801825835211973625643008) 1 (if (<=.f64 n 3984496719921263/295147905179352825856) -1 1))
-1

Outputs
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 n -5415987671873539/309485009821345068724781056) (+.f64 (.f64 2 (/.f64 f n)) 1) (if (<=.f64 n 4555619344570199/4951760157141521099596496896) (-.f64 (.f64 -2 (/.f64 n f)) 1) (+.f64 (*.f64 2 (/.f64 f n)) 1)))
(if (or (<=.f64 n -5415987671873539/309485009821345068724781056) (not (<=.f64 n 4555619344570199/4951760157141521099596496896))) (+.f64 (.f64 2 (/.f64 f n)) 1) (-.f64 (.f64 -2 (/.f64 n f)) 1))
(if (or (<=.f64 n -5415987671873539/309485009821345068724781056) (not (<=.f64 n 4555619344570199/4951760157141521099596496896))) (+.f64 (.f64 2 (/.f64 f n)) 1) (+.f64 (.f64 -2 (/.f64 n f)) -1))
(if (<=.f64 n -4852724953998691/19807040628566084398385987584) (+.f64 (.f64 2 (/.f64 f n)) 1) (if (<=.f64 n 6084722881095501/633825300114114700748351602688) -1 (+.f64 (.f64 2 (/.f64 f n)) 1)))
(if (or (<=.f64 n -4852724953998691/19807040628566084398385987584) (not (<=.f64 n 6084722881095501/633825300114114700748351602688))) (+.f64 (*.f64 2 (/.f64 f n)) 1) -1)
(if (<=.f64 n -6591783121186793/10141204801825835211973625643008) 1 (if (<=.f64 n 3984496719921263/295147905179352825856) -1 1))
-1

Compiler

Compiled 69 to 53 computations (23.2% saved)

soundness316.0ms (14.1%)

Rules

2246×	`fma-def`
798×	`times-frac`
692×	`div-sub`
384×	`fma-neg`
318×	`associate-/r*`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	20	23
2	40	23
3	85	23
4	185	23
5	350	23
6	837	19
7	2566	19
8	3637	19
9	4343	19
10	4465	19
11	4512	19
12	4524	19
13	4524	19

Stop Event

1×

saturated

Compiler

Compiled 267 to 142 computations (46.8% saved)

end0.0ms (0%)

preprocess49.0ms (2.2%)

Compiler: Compiled 142 to 100 computations (29.6% saved)

analyze12.0ms (0.5%)

sample730.0ms (32.4%)

preprocess116.0ms (5.1%)

simplify123.0ms (5.5%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize51.0ms (2.3%)

series2.0ms (0.1%)

rewrite78.0ms (3.5%)

simplify72.0ms (3.2%)

eval48.0ms (2.1%)

prune23.0ms (1%)

localize116.0ms (5.2%)

series11.0ms (0.5%)

rewrite105.0ms (4.7%)

simplify119.0ms (5.3%)

eval58.0ms (2.6%)

prune26.0ms (1.1%)

localize0.0ms (0%)

eval0.0ms (0%)

prune4.0ms (0.2%)

localize0.0ms (0%)

eval0.0ms (0%)

prune5.0ms (0.2%)

regimes15.0ms (0.6%)

regimes28.0ms (1.3%)

regimes10.0ms (0.4%)

regimes25.0ms (1.1%)

regimes5.0ms (0.2%)

bsearch31.0ms (1.4%)

bsearch30.0ms (1.4%)

bsearch33.0ms (1.5%)

simplify8.0ms (0.3%)

soundness316.0ms (14.1%)

end0.0ms (0%)

preprocess49.0ms (2.2%)

Profiling