Metrics for subtraction fraction

analyze16.0ms (0.7%)

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)

sample718.0ms (31.2%)

Results

704.0ms

8256×

body

256

valid

Bogosity

preprocess115.0ms (5%)

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	123
1	60	115
2	164	107
3	479	95
4	1562	95
5	4598	95
6	5644	95
7	5820	95
8	5881	95
9	5905	95
10	5947	95

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(/.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 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 10 to 6 computations (40% saved)

eval0.0ms (0%)

Compiler: Compiled 17 to 9 computations (47.1% saved)

prune1.0ms (0%)

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)

localize23.0ms (1%)

Localize:

Found 1 expressions with local error:

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	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))

rewrite72.0ms (3.1%)

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))))

simplify80.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

976×	`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	337	3822
1	954	3512
2	3461	3332

Stop Event

1×	node limit

Counts

106 → 154

Calls

Call 1

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

eval35.0ms (1.5%)

Compiler: Compiled 2793 to 992 computations (64.5% saved)

prune27.0ms (1.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	149	5	154
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	149	6	155

Accuracy

100.0%

Counts

155 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	48.8%	(/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 n f)))
✓	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
▶	51.8%	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
▶	50.0%	(+.f64 1 (*.f64 2 (/.f64 f n)))
	49.0%	1
	50.5%	-1
▶	48.8%	(/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 n f)))
✓	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
▶	51.8%	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
▶	50.0%	(+.f64 1 (*.f64 2 (/.f64 f n)))
	49.0%	1
	50.5%	-1

Compiler

Compiled 96 to 64 computations (33.3% saved)

localize60.0ms (2.6%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(sqrt.f64 (-.f64 n f))
✓	100.0%	(/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 n f)))
✓	99.7%	(/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f)))

Compiler

Compiled 74 to 26 computations (64.9% saved)

series74.0ms (3.2%)

Counts

3 → 40

Calls

18 calls:

Time	Variable		Point	Expression
64.0ms	n	@	0	(/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f)))
1.0ms	n	@	inf	(/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f)))
1.0ms	n	@	-inf	(/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f)))
1.0ms	f	@	inf	(sqrt.f64 (-.f64 n f))
1.0ms	f	@	0	(/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f)))

rewrite81.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1594×	`prod-diff`
1222×	`log-prod`
744×	`fma-def`
548×	`pow-exp`
422×	`expm1-udef`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	53
1	227	53
2	3449	53

Stop Event

1×	node limit

Counts

3 → 135

Calls

Call 1

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

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

simplify139.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

558×	`times-frac`
524×	`log-prod`
508×	`div-sub`
502×	`fma-def`
500×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	527	6521
1	1378	6173
2	5435	5933

Stop Event

1×	node limit

Counts

175 → 254

Calls

Call 1

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

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

eval102.0ms (4.4%)

Compiler: Compiled 7859 to 3660 computations (53.4% saved)

prune50.0ms (2.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	316	0	316
Fresh	0	2	2
Picked	0	3	3
Done	0	1	1
Total	316	6	322

Accuracy

100.0%

Counts

322 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	48.8%	(/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 n f)))
✓	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
✓	51.8%	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
✓	50.0%	(+.f64 1 (*.f64 2 (/.f64 f n)))
	49.0%	1
	50.5%	-1
✓	48.8%	(/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 n f)))
✓	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
✓	51.8%	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
✓	50.0%	(+.f64 1 (*.f64 2 (/.f64 f n)))
	49.0%	1
	50.5%	-1

Compiler

Compiled 96 to 64 computations (33.3% 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

Accuracy

100.0%

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	48.8%	(/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 n f)))
✓	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
✓	51.8%	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
✓	50.0%	(+.f64 1 (*.f64 2 (/.f64 f n)))
	49.0%	1
	50.5%	-1
✓	48.8%	(/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 n f)))
✓	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
✓	51.8%	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
✓	50.0%	(+.f64 1 (*.f64 2 (/.f64 f n)))
	49.0%	1
	50.5%	-1

Compiler

Compiled 96 to 64 computations (33.3% 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

Accuracy

100.0%

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	48.8%	(/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 n f)))
✓	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
✓	51.8%	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
✓	50.0%	(+.f64 1 (*.f64 2 (/.f64 f n)))
	49.0%	1
	50.5%	-1

Compiler

Compiled 94 to 55 computations (41.5% saved)

regimes16.0ms (0.7%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	f
5.0ms	n
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 62 to 33 computations (46.8% saved)

regimes36.0ms (1.5%)

Counts

4 → 5

Calls

Call 1

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

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

Calls

2 calls:

18.0ms	n
16.0ms	f

Results

Accuracy	Segments	Branch
73.1%	3	`f`
80.6%	5	`n`

Compiler

Compiled 24 to 18 computations (25% saved)

regimes21.0ms (0.9%)

Counts

3 → 5

Calls

Call 1

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

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

Calls

1 calls:

20.0ms

Results

Accuracy	Segments	Branch
80.1%	5	`n`

Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes15.0ms (0.7%)

Counts

2 → 5

Calls

Call 1

Inputs
-1
1

Outputs
1
-1
1
-1
1

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
79.6%	5	`n`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes6.0ms (0.3%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
-1

Outputs
-1

Calls

2 calls:

3.0ms	f
3.0ms	n

Results

Accuracy	Segments	Branch
50.5%	1	`f`
50.5%	1	`n`

Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch83.0ms (3.6%)

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.263986544613854e+49	6.239794973858308e+52
36.0ms	340338345618981100.0	4066377622424266000.0
16.0ms	1.9059992148107147e-22	1.0971354737717982e-10
17.0ms	-1.054695700242976e-21	-5.700382805682768e-25

Results

76.0ms

512×

body

256

valid

Compiler

Compiled 571 to 466 computations (18.4% saved)

bsearch70.0ms (3%)

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.263986544613854e+49	6.239794973858308e+52
10.0ms	340338345618981100.0	4066377622424266000.0
34.0ms	1.9059992148107147e-22	1.0971354737717982e-10
13.0ms	-1.054695700242976e-21	-5.700382805682768e-25

Results

64.0ms

512×

body

256

valid

Compiler

Compiled 463 to 394 computations (14.9% saved)

bsearch68.0ms (3%)

Algorithm

4×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
25.0ms	1.263986544613854e+49	6.239794973858308e+52
9.0ms	340338345618981100.0	4066377622424266000.0
16.0ms	1.9059992148107147e-22	1.0971354737717982e-10
18.0ms	-1.054695700242976e-21	-5.700382805682768e-25

Results

63.0ms

480×

body

256

valid

Compiler

Compiled 255 to 250 computations (2% saved)

simplify12.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

16×	`not-or`
14×	`if-if-or-not`
14×	`if-not`
12×	`+-commutative`
12×	`not-not`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	54	245
1	75	245
2	87	239
3	106	235
4	115	235
5	124	235
6	126	235
7	128	235

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 n -552958846246525/85070591730234615865843651857942052864) (+.f64 1 (.f64 2 (/.f64 f n))) (if (<=.f64 n 872305872233851/20769187434139310514121985316880384) (-.f64 (.f64 -2 (/.f64 n f)) 1) (if (<=.f64 n 2100000000000000000) (+.f64 1 (.f64 2 (/.f64 f n))) (if (<=.f64 n 15000000000000001144465476163783050494244745641984) -1 (+.f64 1 (.f64 2 (/.f64 f n)))))))
(if (<=.f64 n -6397308498113643/1361129467683753853853498429727072845824) (+.f64 1 (.f64 2 (/.f64 f n))) (if (<=.f64 n 6591783121186793/10141204801825835211973625643008) -1 (if (<=.f64 n 600000000000000000) (+.f64 1 (.f64 2 (/.f64 f n))) (if (<=.f64 n 110000000000000008392746825201075703624461468041216) -1 (+.f64 1 (*.f64 2 (/.f64 f n)))))))
(if (<=.f64 n -8575115646407649/2722258935367507707706996859454145691648) 1 (if (<=.f64 n 3961408125713217/618970019642690137449562112) -1 (if (<=.f64 n 660000000000000000) 1 (if (<=.f64 n 15000000000000001144465476163783050494244745641984) -1 1))))
-1

Outputs
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 n -552958846246525/85070591730234615865843651857942052864) (+.f64 1 (.f64 2 (/.f64 f n))) (if (<=.f64 n 872305872233851/20769187434139310514121985316880384) (-.f64 (.f64 -2 (/.f64 n f)) 1) (if (<=.f64 n 2100000000000000000) (+.f64 1 (.f64 2 (/.f64 f n))) (if (<=.f64 n 15000000000000001144465476163783050494244745641984) -1 (+.f64 1 (.f64 2 (/.f64 f n)))))))
(if (<=.f64 n -552958846246525/85070591730234615865843651857942052864) (+.f64 1 (.f64 2 (/.f64 f n))) (if (<=.f64 n 872305872233851/20769187434139310514121985316880384) (-.f64 (.f64 -2 (/.f64 n f)) 1) (if (or (<=.f64 n 2100000000000000000) (not (<=.f64 n 15000000000000001144465476163783050494244745641984))) (+.f64 1 (*.f64 2 (/.f64 f n))) -1)))
(if (<=.f64 n -552958846246525/85070591730234615865843651857942052864) (+.f64 1 (.f64 2 (/.f64 f n))) (if (<=.f64 n 872305872233851/20769187434139310514121985316880384) (+.f64 (.f64 -2 (/.f64 n f)) -1) (if (or (<=.f64 n 2100000000000000000) (not (<=.f64 n 15000000000000001144465476163783050494244745641984))) (+.f64 1 (*.f64 2 (/.f64 f n))) -1)))
(if (<=.f64 n -6397308498113643/1361129467683753853853498429727072845824) (+.f64 1 (.f64 2 (/.f64 f n))) (if (<=.f64 n 6591783121186793/10141204801825835211973625643008) -1 (if (<=.f64 n 600000000000000000) (+.f64 1 (.f64 2 (/.f64 f n))) (if (<=.f64 n 110000000000000008392746825201075703624461468041216) -1 (+.f64 1 (*.f64 2 (/.f64 f n)))))))
(if (<=.f64 n -6397308498113643/1361129467683753853853498429727072845824) (+.f64 1 (.f64 2 (/.f64 f n))) (if (<=.f64 n 6591783121186793/10141204801825835211973625643008) -1 (if (or (<=.f64 n 600000000000000000) (not (<=.f64 n 110000000000000008392746825201075703624461468041216))) (+.f64 1 (.f64 2 (/.f64 f n))) -1)))
(if (or (<=.f64 n -6397308498113643/1361129467683753853853498429727072845824) (not (or (<=.f64 n 6591783121186793/10141204801825835211973625643008) (not (or (<=.f64 n 600000000000000000) (not (<=.f64 n 110000000000000008392746825201075703624461468041216))))))) (+.f64 1 (*.f64 2 (/.f64 f n))) -1)
(if (or (<=.f64 n -6397308498113643/1361129467683753853853498429727072845824) (not (or (<=.f64 n 6591783121186793/10141204801825835211973625643008) (and (not (<=.f64 n 600000000000000000)) (<=.f64 n 110000000000000008392746825201075703624461468041216))))) (+.f64 1 (*.f64 2 (/.f64 f n))) -1)
(if (<=.f64 n -8575115646407649/2722258935367507707706996859454145691648) 1 (if (<=.f64 n 3961408125713217/618970019642690137449562112) -1 (if (<=.f64 n 660000000000000000) 1 (if (<=.f64 n 15000000000000001144465476163783050494244745641984) -1 1))))
-1

Compiler

Compiled 104 to 79 computations (24% saved)

soundness303.0ms (13.2%)

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	123
1	60	115
2	164	107
3	479	95
4	1562	95
5	4598	95
6	5644	95
7	5820	95
8	5881	95
9	5905	95
10	5947	95

Stop Event

1×

saturated

Compiler

Compiled 131 to 45 computations (65.6% saved)

end0.0ms (0%)

preprocess66.0ms (2.9%)

Compiler: Compiled 212 to 152 computations (28.3% saved)

analyze16.0ms (0.7%)

sample718.0ms (31.2%)

preprocess115.0ms (5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize23.0ms (1%)

series2.0ms (0.1%)

rewrite72.0ms (3.1%)

simplify80.0ms (3.5%)

eval35.0ms (1.5%)

prune27.0ms (1.2%)

localize60.0ms (2.6%)

series74.0ms (3.2%)

rewrite81.0ms (3.5%)

simplify139.0ms (6.1%)

eval102.0ms (4.4%)

prune50.0ms (2.2%)

localize0.0ms (0%)

eval0.0ms (0%)

prune4.0ms (0.2%)

localize0.0ms (0%)

eval0.0ms (0%)

prune4.0ms (0.2%)

regimes16.0ms (0.7%)

regimes36.0ms (1.5%)

regimes21.0ms (0.9%)

regimes15.0ms (0.7%)

regimes6.0ms (0.3%)

bsearch83.0ms (3.6%)

bsearch70.0ms (3%)

bsearch68.0ms (3%)

simplify12.0ms (0.5%)

soundness303.0ms (13.2%)

end0.0ms (0%)

preprocess66.0ms (2.9%)

Profiling