Metrics for subtraction fraction

analyze12.0ms (0.6%)

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)

sample804.0ms (40.1%)

Results

793.0ms

8256×

body

256

valid

Bogosity

preprocess164.0ms (8.2%)

Algorithm

1×	egg-herbie

Rules

2038×	`fma-def`
884×	`times-frac`
830×	`div-sub`
414×	`associate-/r*`
270×	`associate-*r/`

Problems

256×

No Errors

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	28	269
1	74	245
2	194	229
3	555	217
4	1732	217
5	3221	217
6	3956	217
7	4140	217
8	4216	217
9	4240	217
10	4240	217

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

Compiler

Compiled 33 to 13 computations (60.6% saved)

eval0.0ms (0%)

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

prune1.0ms (0.1%)

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)

localize25.0ms (1.2%)

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)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite127.0ms (6.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1516×	`prod-diff`
791×	`log1p-expm1-u`
791×	`expm1-log1p-u`
688×	`log-prod`
676×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	31
1	131	31
2	2068	31

Stop Event

1×	node limit

Counts

1 → 38

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

simplify67.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1948×	`fma-def`
1616×	`times-frac`
704×	`associate-*r/`
594×	`distribute-lft-in`
570×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	183	2876
1	516	2616
2	1851	2278

Stop Event

1×	node limit

Counts

62 → 83

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 (+.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 (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 (/.f64 1 (-.f64 n f)) (+.f64 f n))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 n f)) 2)) (/.f64 (+.f64 f n) (cbrt.f64 (-.f64 n f))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 n f))) (/.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 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 f n))
(*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 f (+.f64 f n) (pow.f64 n 2)))
(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 (-.f64 n f) (+.f64 f n)) -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))
(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 (pow.f64 f 2) (pow.f64 n 2)))))
(fma.f64 2 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 2) (pow.f64 n 2))) 1)
(fma.f64 2 (*.f64 (/.f64 f n) (+.f64 1 (/.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 (pow.f64 f 2) (pow.f64 n 2)) (/.f64 (pow.f64 f 3) (pow.f64 n 3))))))
(+.f64 1 (*.f64 2 (+.f64 (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (/.f64 f n))))
(fma.f64 2 (+.f64 (pow.f64 (/.f64 f n) 3) (*.f64 (/.f64 f n) (+.f64 1 (/.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 -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 (*.f64 n (-.f64 (neg.f64 n) n)) (pow.f64 f 2))) (+.f64 1 (/.f64 n f)))
(-.f64 (-.f64 (fma.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) -1) (/.f64 n f)) (/.f64 n f))
(fma.f64 -2 (*.f64 (+.f64 1 (/.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 (*.f64 n (-.f64 (neg.f64 n) n)) (pow.f64 f 2))) (/.f64 (pow.f64 n 2) (/.f64 (pow.f64 f 3) (-.f64 (neg.f64 n) n)))) (+.f64 1 (/.f64 n f)))
(-.f64 (-.f64 (fma.f64 -2 (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 (pow.f64 n 3) (pow.f64 f 3))) -1) (/.f64 n f)) (/.f64 n f))
(fma.f64 -2 (+.f64 (*.f64 (+.f64 1 (/.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 (fma.f64 -1 (/.f64 n f) (/.f64 (*.f64 n (-.f64 (neg.f64 n) n)) (pow.f64 f 2))) (+.f64 1 (/.f64 n f)))
(-.f64 (-.f64 (fma.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) -1) (/.f64 n f)) (/.f64 n f))
(fma.f64 -2 (*.f64 (+.f64 1 (/.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 (*.f64 n (-.f64 (neg.f64 n) n)) (pow.f64 f 2))) (/.f64 (pow.f64 n 2) (/.f64 (pow.f64 f 3) (-.f64 (neg.f64 n) n)))) (+.f64 1 (/.f64 n f)))
(-.f64 (-.f64 (fma.f64 -2 (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 (pow.f64 n 3) (pow.f64 f 3))) -1) (/.f64 n f)) (/.f64 n f))
(fma.f64 -2 (+.f64 (*.f64 (+.f64 1 (/.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 n f)) (.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2)))) 1)
(-.f64 (fma.f64 -1 (/.f64 n f) (/.f64 (*.f64 n (-.f64 (neg.f64 n) n)) (pow.f64 f 2))) (+.f64 1 (/.f64 n f)))
(-.f64 (-.f64 (fma.f64 -2 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) -1) (/.f64 n f)) (/.f64 n f))
(fma.f64 -2 (*.f64 (+.f64 1 (/.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 (*.f64 n (-.f64 (neg.f64 n) n)) (pow.f64 f 2))) (/.f64 (pow.f64 n 2) (/.f64 (pow.f64 f 3) (-.f64 (neg.f64 n) n)))) (+.f64 1 (/.f64 n f)))
(-.f64 (-.f64 (fma.f64 -2 (+.f64 (/.f64 (pow.f64 n 2) (pow.f64 f 2)) (/.f64 (pow.f64 n 3) (pow.f64 f 3))) -1) (/.f64 n f)) (/.f64 n f))
(fma.f64 -2 (+.f64 (*.f64 (+.f64 1 (/.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)))
(+.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 (pow.f64 f 2) (pow.f64 n 2)))))
(fma.f64 2 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 2) (pow.f64 n 2))) 1)
(fma.f64 2 (*.f64 (/.f64 f n) (+.f64 1 (/.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 (pow.f64 f 2) (pow.f64 n 2)) (/.f64 (pow.f64 f 3) (pow.f64 n 3))))))
(+.f64 1 (*.f64 2 (+.f64 (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (/.f64 f n))))
(fma.f64 2 (+.f64 (pow.f64 (/.f64 f n) 3) (*.f64 (/.f64 f n) (+.f64 1 (/.f64 f n)))) 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 (pow.f64 f 2) (pow.f64 n 2)))))
(fma.f64 2 (+.f64 (/.f64 f n) (/.f64 (pow.f64 f 2) (pow.f64 n 2))) 1)
(fma.f64 2 (*.f64 (/.f64 f n) (+.f64 1 (/.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 (pow.f64 f 2) (pow.f64 n 2)) (/.f64 (pow.f64 f 3) (pow.f64 n 3))))))
(+.f64 1 (*.f64 2 (+.f64 (+.f64 (/.f64 (pow.f64 f 2) (pow.f64 n 2)) (/.f64 (pow.f64 f 3) (pow.f64 n 3))) (/.f64 f n))))
(fma.f64 2 (+.f64 (pow.f64 (/.f64 f n) 3) (*.f64 (/.f64 f n) (+.f64 1 (/.f64 f n)))) 1)
(+.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))))))
(*.f64 3 (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 2 (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 n f))
(*.f64 (+.f64 f n) (/.f64 1 (-.f64 n f)))
(/.f64 (+.f64 f n) (-.f64 n f))
(*.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 1)
(/.f64 (+.f64 f n) (-.f64 n f))
(*.f64 1 (/.f64 (+.f64 f n) (-.f64 n f)))
(/.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 (+.f64 f n) (-.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 (+.f64 f n) (-.f64 n f))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) 2) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(.f64 (sqrt.f64 (+.f64 f n)) (.f64 (sqrt.f64 (+.f64 f n)) (/.f64 1 (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(*.f64 (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (sqrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(*.f64 (neg.f64 (+.f64 f n)) (/.f64 1 (neg.f64 (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))
(*.f64 (/.f64 1 (-.f64 n f)) (+.f64 f n))
(/.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))) (pow.f64 (cbrt.f64 (-.f64 n f)) 2))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 n f))) (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (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 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 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 2) (pow.f64 (cbrt.f64 (-.f64 n f)) 2)))
(*.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 1 (sqrt.f64 (-.f64 n f))) (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))))
(/.f64 (/.f64 (+.f64 f n) (sqrt.f64 (-.f64 n f))) (sqrt.f64 (-.f64 n f)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 f n)) 1) (/.f64 (sqrt.f64 (+.f64 f n)) (-.f64 n f)))
(/.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 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))) (pow.f64 (cbrt.f64 (-.f64 n f)) 2))
(*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 2) (pow.f64 f 2))) (+.f64 f n))
(*.f64 (+.f64 f n) (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 2) (pow.f64 f 2))))
(/.f64 (*.f64 (+.f64 f n) (+.f64 f n)) (-.f64 (pow.f64 n 2) (pow.f64 f 2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 f n)) 6) (-.f64 (pow.f64 n 2) (pow.f64 f 2)))
(*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n 3) (pow.f64 f 3))) (fma.f64 f (+.f64 f n) (pow.f64 n 2)))
(/.f64 (*.f64 (+.f64 f n) (fma.f64 f (+.f64 f n) (pow.f64 n 2))) (-.f64 (pow.f64 n 3) (pow.f64 f 3)))
(/.f64 (+.f64 f n) (/.f64 (-.f64 (pow.f64 n 3) (pow.f64 f 3)) (fma.f64 f (+.f64 f n) (pow.f64 n 2))))
(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)) 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))
(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))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
(/.f64 (+.f64 f n) (-.f64 n f))

eval68.0ms (3.4%)

Compiler: Compiled 1297 to 571 computations (56% saved)

prune13.0ms (0.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	79	4	83
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	79	5	84

Accuracy

100.0%

Counts

84 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
▶	50.4%	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
▶	52.5%	(+.f64 1 (*.f64 2 (/.f64 f n)))
	51.5%	1
	49.3%	-1
✓	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
▶	50.4%	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
▶	52.5%	(+.f64 1 (*.f64 2 (/.f64 f n)))
	51.5%	1
	49.3%	-1

Compiler

Compiled 66 to 50 computations (24.2% saved)

localize75.0ms (3.7%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(*.f64 2 (/.f64 f n))

Compiler

Compiled 41 to 21 computations (48.8% saved)

series3.0ms (0.2%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	n	@	0	(*.f64 2 (/.f64 f n))
1.0ms	f	@	inf	(*.f64 2 (/.f64 f n))
1.0ms	f	@	0	(*.f64 2 (/.f64 f n))
0.0ms	n	@	inf	(*.f64 2 (/.f64 f n))
0.0ms	f	@	-inf	(*.f64 2 (/.f64 f n))

rewrite53.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

750×	`unpow-prod-down`
512×	`cbrt-prod`
512×	`log-prod`
457×	`log1p-expm1-u`
457×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	94	19
2	1216	19

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

Inputs
(*.f64 2 (/.f64 f n))

Outputs
(+.f64 (/.f64 f n) (/.f64 f n))
(+.f64 0 (/.f64 2 (/.f64 n f)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 2 (/.f64 n f)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 2 (/.f64 n f))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (/.f64 n f))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 2 (/.f64 n f))))))
(-.f64 (+.f64 1 (/.f64 2 (/.f64 n f))) 1)
(/.f64 2 (/.f64 n f))
(/.f64 1 (/.f64 n (*.f64 2 f)))
(/.f64 (*.f64 2 f) n)
(/.f64 (neg.f64 (*.f64 2 f)) (neg.f64 n))
(/.f64 (*.f64 2 (neg.f64 f)) (neg.f64 n))
(/.f64 (*.f64 (neg.f64 f) 2) (neg.f64 n))
(/.f64 (/.f64 (*.f64 2 f) 1) n)
(/.f64 (/.f64 (*.f64 2 f) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n))
(/.f64 (/.f64 (*.f64 2 f) (sqrt.f64 n)) (sqrt.f64 n))
(pow.f64 (/.f64 2 (/.f64 n f)) 1)
(pow.f64 (cbrt.f64 (/.f64 2 (/.f64 n f))) 3)
(pow.f64 (*.f64 (pow.f64 (/.f64 f n) 2) 4) 1/2)
(pow.f64 (*.f64 (pow.f64 (/.f64 f n) 3) 8) 1/3)
(pow.f64 (sqrt.f64 (/.f64 2 (/.f64 n f))) 2)
(pow.f64 (E.f64) (log.f64 (/.f64 2 (/.f64 n f))))
(pow.f64 (/.f64 n (*.f64 2 f)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 (/.f64 n f)))) 2)) (cbrt.f64 (log.f64 (/.f64 2 (/.f64 n f)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 2 (/.f64 n f))))) (sqrt.f64 (log.f64 (/.f64 2 (/.f64 n f)))))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 f n) 2) 4))
(log.f64 (exp.f64 (/.f64 2 (/.f64 n f))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 f n) 3) 8))
(expm1.f64 (log1p.f64 (/.f64 2 (/.f64 n f))))
(exp.f64 (log.f64 (/.f64 2 (/.f64 n f))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 2 (/.f64 n f)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 2 (/.f64 n f)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 2 (/.f64 n f)))) 2))
(log1p.f64 (expm1.f64 (/.f64 2 (/.f64 n f))))

simplify43.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1022×	`associate-*l/`
910×	`fma-def`
548×	`log-prod`
464×	`distribute-lft-in`
454×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	93	794
1	212	758
2	542	758
3	2094	752

Stop Event

1×	node limit

Counts

32 → 45

Calls

Call 1

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

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

eval12.0ms (0.6%)

Compiler: Compiled 534 to 389 computations (27.2% saved)

prune8.0ms (0.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	45	0	45
Fresh	0	2	2
Picked	0	2	2
Done	0	1	1
Total	45	5	50

Accuracy

100.0%

Counts

50 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
✓	50.4%	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
✓	52.5%	(+.f64 1 (*.f64 2 (/.f64 f n)))
	51.5%	1
	49.3%	-1
✓	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
✓	50.4%	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
✓	52.5%	(+.f64 1 (*.f64 2 (/.f64 f n)))
	51.5%	1
	49.3%	-1

Compiler

Compiled 66 to 50 computations (24.2% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune3.0ms (0.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	3	3
Total	5	5

Accuracy

100.0%

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
✓	50.4%	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
✓	52.5%	(+.f64 1 (*.f64 2 (/.f64 f n)))
	51.5%	1
	49.3%	-1
✓	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
✓	50.4%	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
✓	52.5%	(+.f64 1 (*.f64 2 (/.f64 f n)))
	51.5%	1
	49.3%	-1

Compiler

Compiled 66 to 50 computations (24.2% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune39.0ms (2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	3	3
Total	5	5

Accuracy

100.0%

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
✓	50.4%	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
✓	52.5%	(+.f64 1 (*.f64 2 (/.f64 f n)))
	51.5%	1
	49.3%	-1

Compiler

Compiled 66 to 45 computations (31.8% saved)

regimes13.0ms (0.6%)

Counts

6 → 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))

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

Calls

3 calls:

5.0ms	f
4.0ms	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 49 to 30 computations (38.8% saved)

regimes36.0ms (1.8%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

2 calls:

24.0ms	n
11.0ms	f

Results

Accuracy	Segments	Branch
77.0%	3	`f`
78.5%	5	`n`

Compiler

Compiled 24 to 18 computations (25% saved)

regimes11.0ms (0.6%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
76.5%	3	`f`

Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes10.0ms (0.5%)

Counts

2 → 3

Calls

Call 1

Inputs
-1
1

Outputs
-1
1
-1

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
76.1%	3	`f`

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	n
3.0ms	f

Results

Accuracy	Segments	Branch
49.3%	1	`n`
49.3%	1	`f`

Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch32.0ms (1.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.092864494487137e-37	2.5943895529141766e-36
17.0ms	-14302653238402290.0	-0.012569070177934488

Results

28.0ms

272×

body

256

valid

Compiler

Compiled 355 to 282 computations (20.6% saved)

bsearch34.0ms (1.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	9.039023004933609e+23	7.400037913328266e+28
18.0ms	-14302653238402290.0	-0.012569070177934488

Results

30.0ms

304×

body

256

valid

Compiler

Compiled 281 to 238 computations (15.3% saved)

bsearch41.0ms (2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	5.336559790151599e-65	3.3492772275440356e-62
27.0ms	-14302653238402290.0	-0.012569070177934488

Results

37.0ms

288×

body

256

valid

Compiler

Compiled 159 to 154 computations (3.1% saved)

simplify6.0ms (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	41	191
1	63	191
2	69	191
3	76	191
4	77	191

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 f -7926335344172073/18014398509481984) (-.f64 (.f64 -2 (/.f64 n f)) 1) (if (<=.f64 f 636045512566409/374144419156711147060143317175368453031918731001856) (+.f64 1 (.f64 2 (/.f64 f n))) (-.f64 (*.f64 -2 (/.f64 n f)) 1)))
(if (<=.f64 f -3300000) -1 (if (<=.f64 f 650000000000000022380806144) (+.f64 1 (*.f64 2 (/.f64 f n))) -1))
(if (<=.f64 f -600000000000) -1 (if (<=.f64 f 6368564908052391/231584178474632390847141970017375815706539969331281128078915168015826259279872) 1 -1))
-1

Outputs
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 f -7926335344172073/18014398509481984) (-.f64 (.f64 -2 (/.f64 n f)) 1) (if (<=.f64 f 636045512566409/374144419156711147060143317175368453031918731001856) (+.f64 1 (.f64 2 (/.f64 f n))) (-.f64 (*.f64 -2 (/.f64 n f)) 1)))
(if (or (<=.f64 f -7926335344172073/18014398509481984) (not (<=.f64 f 636045512566409/374144419156711147060143317175368453031918731001856))) (-.f64 (.f64 -2 (/.f64 n f)) 1) (+.f64 1 (.f64 2 (/.f64 f n))))
(if (or (<=.f64 f -7926335344172073/18014398509481984) (not (<=.f64 f 636045512566409/374144419156711147060143317175368453031918731001856))) (+.f64 (.f64 -2 (/.f64 n f)) -1) (+.f64 1 (.f64 2 (/.f64 f n))))
(if (<=.f64 f -3300000) -1 (if (<=.f64 f 650000000000000022380806144) (+.f64 1 (*.f64 2 (/.f64 f n))) -1))
(if (<=.f64 f -600000000000) -1 (if (<=.f64 f 6368564908052391/231584178474632390847141970017375815706539969331281128078915168015826259279872) 1 -1))
-1

Compiler

Compiled 69 to 53 computations (23.2% saved)

soundness245.0ms (12.2%)

Rules

2038×	`fma-def`
884×	`times-frac`
830×	`div-sub`
414×	`associate-/r*`
270×	`associate-*r/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	28	269
1	74	245
2	194	229
3	555	217
4	1732	217
5	3221	217
6	3956	217
7	4140	217
8	4216	217
9	4240	217
10	4240	217

Stop Event

1×

saturated

Compiler

Compiled 130 to 50 computations (61.5% saved)

end0.0ms (0%)

preprocess50.0ms (2.5%)

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

analyze12.0ms (0.6%)

sample804.0ms (40.1%)

preprocess164.0ms (8.2%)

eval0.0ms (0%)

prune1.0ms (0.1%)

localize25.0ms (1.2%)

series3.0ms (0.1%)

rewrite127.0ms (6.3%)

simplify67.0ms (3.3%)

eval68.0ms (3.4%)

prune13.0ms (0.6%)

localize75.0ms (3.7%)

series3.0ms (0.2%)

rewrite53.0ms (2.6%)

simplify43.0ms (2.2%)

eval12.0ms (0.6%)

prune8.0ms (0.4%)

localize0.0ms (0%)

eval0.0ms (0%)

prune3.0ms (0.2%)

localize0.0ms (0%)

eval0.0ms (0%)

prune39.0ms (2%)

regimes13.0ms (0.6%)

regimes36.0ms (1.8%)

regimes11.0ms (0.6%)

regimes10.0ms (0.5%)

regimes6.0ms (0.3%)

bsearch32.0ms (1.6%)

bsearch34.0ms (1.7%)

bsearch41.0ms (2%)

simplify6.0ms (0.3%)

soundness245.0ms (12.2%)

end0.0ms (0%)

preprocess50.0ms (2.5%)

Profiling