Metrics for subtraction fraction

analyze18.0ms (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)

sample756.0ms (27.5%)

Results

745.0ms

8256×

body

256

valid

Bogosity

preprocess161.0ms (5.9%)

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%)

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)

localize26.0ms (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))

rewrite148.0ms (5.4%)

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))))

simplify55.0ms (2%)

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))

eval40.0ms (1.5%)

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

prune47.0ms (1.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	77	6	83
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	77	7	84

Accuracy

100.0%

Counts

84 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.0%	(fma.f64 2 (*.f64 (/.f64 f n) (+.f64 1 (/.f64 f n))) 1)
▶	100.0%	(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)
✓	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
▶	49.8%	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
▶	52.9%	(+.f64 1 (*.f64 2 (/.f64 f n)))
	51.7%	1
	48.8%	-1
▶	52.0%	(fma.f64 2 (*.f64 (/.f64 f n) (+.f64 1 (/.f64 f n))) 1)
▶	100.0%	(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)
✓	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
▶	49.8%	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
▶	52.9%	(+.f64 1 (*.f64 2 (/.f64 f n)))
	51.7%	1
	48.8%	-1

Compiler

Compiled 116 to 82 computations (29.3% saved)

localize130.0ms (4.7%)

Localize:

Found 5 expressions with local error:

New	Accuracy	Program
✓	99.9%	(*.f64 (/.f64 f n) (+.f64 1 (/.f64 f n)))
✓	100.0%	(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)
✓	100.0%	(/.f64 (-.f64 n f) (+.f64 f n))
✓	100.0%	(*.f64 -2 (/.f64 n f))
✓	100.0%	(*.f64 2 (/.f64 f n))

Compiler

Compiled 99 to 40 computations (59.6% saved)

series15.0ms (0.5%)

Counts

5 → 72

Calls

30 calls:

Time	Variable		Point	Expression
1.0ms	f	@	0	(*.f64 -2 (/.f64 n f))
1.0ms	f	@	0	(/.f64 (-.f64 n f) (+.f64 f n))
1.0ms	n	@	0	(*.f64 2 (/.f64 f n))
1.0ms	f	@	inf	(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)
1.0ms	n	@	-inf	(*.f64 (/.f64 f n) (+.f64 1 (/.f64 f n)))

rewrite169.0ms (6.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1144×	`log1p-expm1-u`
536×	`expm1-udef`
536×	`log1p-udef`
440×	`expm1-log1p-u`
224×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	143
1	312	137
2	4773	137

Stop Event

1×	node limit

Counts

5 → 179

Calls

Call 1

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

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

simplify192.0ms (7%)

Algorithm

1×	egg-herbie

Rules

1112×	`fma-neg`
692×	`log-prod`
658×	`fma-def`
572×	`associate-/l*`
564×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	589	11368
1	1693	9760
2	6708	9754

Stop Event

1×	node limit

Counts

251 → 296

Calls

Call 1

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

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

eval89.0ms (3.2%)

Compiler: Compiled 5490 to 2952 computations (46.2% saved)

prune45.0ms (1.7%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	295	1	296
Fresh	0	2	2
Picked	1	3	4
Done	0	1	1
Total	296	7	303

Accuracy

100.0%

Counts

303 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.0%	(fma.f64 2 (*.f64 (/.f64 f n) (+.f64 1 (/.f64 f n))) 1)
✓	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
▶	100.0%	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))
✓	49.8%	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
✓	52.9%	(+.f64 1 (*.f64 2 (/.f64 f n)))
	51.7%	1
	48.8%	-1
✓	52.0%	(fma.f64 2 (*.f64 (/.f64 f n) (+.f64 1 (/.f64 f n))) 1)
✓	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
▶	100.0%	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))
✓	49.8%	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
✓	52.9%	(+.f64 1 (*.f64 2 (/.f64 f n)))
	51.7%	1
	48.8%	-1

Compiler

Compiled 116 to 82 computations (29.3% saved)

localize39.0ms (1.4%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))
	100.0%	(/.f64 (-.f64 n f) (+.f64 f n))

Compiler

Compiled 28 to 9 computations (67.9% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	n	@	0	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))
0.0ms	n	@	-inf	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))
0.0ms	n	@	inf	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))
0.0ms	f	@	-inf	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))
0.0ms	f	@	inf	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))

rewrite70.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1948×	`prod-diff`
985×	`log1p-expm1-u`
653×	`expm1-log1p-u`
288×	`expm1-udef`
288×	`log1p-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	164	31
2	2637	31

Stop Event

1×	node limit

Counts

1 → 46

Calls

Call 1

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

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

simplify57.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1766×	`times-frac`
1616×	`fma-def`
922×	`associate-/r*`
724×	`associate-*r/`
556×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	206	3087
1	588	2865
2	1973	2500

Stop Event

1×	node limit

Counts

70 → 89

Calls

Call 1

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

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

eval48.0ms (1.8%)

Compiler: Compiled 2587 to 1233 computations (52.3% saved)

prune25.0ms (0.9%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	160	0	160
Fresh	0	2	2
Picked	0	1	1
Done	0	4	4
Total	160	7	167

Accuracy

100.0%

Counts

167 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.0%	(fma.f64 2 (*.f64 (/.f64 f n) (+.f64 1 (/.f64 f n))) 1)
✓	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
✓	100.0%	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))
✓	49.8%	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
✓	52.9%	(+.f64 1 (*.f64 2 (/.f64 f n)))
	51.7%	1
	48.8%	-1
✓	52.0%	(fma.f64 2 (*.f64 (/.f64 f n) (+.f64 1 (/.f64 f n))) 1)
✓	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
✓	100.0%	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))
✓	49.8%	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
✓	52.9%	(+.f64 1 (*.f64 2 (/.f64 f n)))
	51.7%	1
	48.8%	-1

Compiler

Compiled 116 to 82 computations (29.3% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune4.0ms (0.1%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	5	5
Total	7	7

Accuracy

100.0%

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.0%	(fma.f64 2 (*.f64 (/.f64 f n) (+.f64 1 (/.f64 f n))) 1)
✓	100.0%	(/.f64 (+.f64 f n) (-.f64 n f))
✓	100.0%	(/.f64 1 (/.f64 (-.f64 n f) (+.f64 f n)))
✓	49.8%	(-.f64 (*.f64 -2 (/.f64 n f)) 1)
✓	52.9%	(+.f64 1 (*.f64 2 (/.f64 f n)))
	51.7%	1
	48.8%	-1

Compiler

Compiled 121 to 72 computations (40.5% saved)

regimes31.0ms (1.1%)

Counts

9 → 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 1 (/.f64 (-.f64 n f) (+.f64 f n)))
(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) -1)
(fma.f64 2 (*.f64 (/.f64 f n) (+.f64 1 (/.f64 f n))) 1)

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

Calls

3 calls:

12.0ms	n
11.0ms	f
7.0ms	(/.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 79 to 41 computations (48.1% saved)

regimes44.0ms (1.6%)

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

Calls

2 calls:

25.0ms	n
18.0ms	f

Results

Accuracy	Segments	Branch
74.3%	3	`f`
83.8%	5	`n`

Compiler

Compiled 24 to 18 computations (25% saved)

regimes23.0ms (0.8%)

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:

22.0ms

Results

Accuracy	Segments	Branch
83.4%	5	`n`

Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes19.0ms (0.7%)

Counts

2 → 5

Calls

Call 1

Inputs
-1
1

Outputs
1
-1
1
-1
1

Calls

1 calls:

19.0ms

Results

Accuracy	Segments	Branch
83.1%	5	`n`

Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes8.0ms (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:

4.0ms	f
4.0ms	n

Results

Accuracy	Segments	Branch
48.8%	1	`f`
48.8%	1	`n`

Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch46.0ms (1.7%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
9.0ms	6.738063730039294e-76	1.4891581709289354e-75
15.0ms	-8.099568990618557e-60	-3.485299197182936e-66
8.0ms	-0.032455664471564796	-0.012056045136472614
14.0ms	-4.174721921444296e+53	-3.6467833220615532e+50

Results

40.0ms

432×

body

256

valid

Compiler

Compiled 555 to 442 computations (20.4% saved)

bsearch46.0ms (1.7%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
8.0ms	6.738063730039294e-76	1.4891581709289354e-75
17.0ms	-8.099568990618557e-60	-3.485299197182936e-66
8.0ms	-0.032455664471564796	-0.012056045136472614
13.0ms	-4.174721921444296e+53	-3.6467833220615532e+50

Results

41.0ms

432×

body

256

valid

Compiler

Compiled 393 to 334 computations (15% saved)

bsearch83.0ms (3%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
2.0ms	2.0923527329111492e-69	2.2033630813646917e-69
14.0ms	-8.099568990618557e-60	-3.485299197182936e-66
8.0ms	-0.032455664471564796	-0.012056045136472614
58.0ms	-4.174721921444296e+53	-3.6467833220615532e+50

Results

79.0ms

368×

body

256

valid

Compiler

Compiled 199 to 194 computations (2.5% saved)

simplify11.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

24×	`not-or`
18×	`if-if-or-not`
18×	`if-not`
16×	`not-not`
12×	`+-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	57	347
1	78	329
2	93	299
3	117	291
4	130	291
5	142	291
6	145	291
7	148	291

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 n -3299999999999999711783531468410197741562225802346496) (+.f64 1 (.f64 2 (/.f64 f n))) (if (<=.f64 n -7032821178101767/576460752303423488) (-.f64 (.f64 -2 (/.f64 n f)) 1) (if (<=.f64 n -551821675271585/452312848583266388373324160190187140051835877600158453279131187530910662656) (+.f64 1 (.f64 2 (/.f64 f n))) (if (<=.f64 n 5948145050896699/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752) (-.f64 (.f64 -2 (/.f64 n f)) 1) (+.f64 1 (*.f64 2 (/.f64 f n)))))))
(if (<=.f64 n -125999999999999999145839532969565125034175263684952064) (+.f64 1 (.f64 2 (/.f64 f n))) (if (<=.f64 n -1152921504606847/72057594037927936) -1 (if (<=.f64 n -8684406692798715/1809251394333065553493296640760748560207343510400633813116524750123642650624) (+.f64 1 (.f64 2 (/.f64 f n))) (if (<=.f64 n 5948145050896699/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752) -1 (+.f64 1 (*.f64 2 (/.f64 f n)))))))
(if (<=.f64 n -399999999999999997288379469744651190584683376777625600) 1 (if (<=.f64 n -8214565720323785/288230376151711744) -1 (if (<=.f64 n -3618502788666131/452312848583266388373324160190187140051835877600158453279131187530910662656) 1 (if (<=.f64 n 1068467890724151/485667223056432267729865476705879726660601709763034880312953102434726071301302124544) -1 1))))
-1

Outputs
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 n -3299999999999999711783531468410197741562225802346496) (+.f64 1 (.f64 2 (/.f64 f n))) (if (<=.f64 n -7032821178101767/576460752303423488) (-.f64 (.f64 -2 (/.f64 n f)) 1) (if (<=.f64 n -551821675271585/452312848583266388373324160190187140051835877600158453279131187530910662656) (+.f64 1 (.f64 2 (/.f64 f n))) (if (<=.f64 n 5948145050896699/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752) (-.f64 (.f64 -2 (/.f64 n f)) 1) (+.f64 1 (*.f64 2 (/.f64 f n)))))))
(if (<=.f64 n -3299999999999999711783531468410197741562225802346496) (+.f64 1 (.f64 2 (/.f64 f n))) (if (<=.f64 n -7032821178101767/576460752303423488) (-.f64 (.f64 -2 (/.f64 n f)) 1) (if (or (<=.f64 n -551821675271585/452312848583266388373324160190187140051835877600158453279131187530910662656) (not (<=.f64 n 5948145050896699/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752))) (+.f64 1 (.f64 2 (/.f64 f n))) (-.f64 (.f64 -2 (/.f64 n f)) 1))))
(if (<=.f64 n -3299999999999999711783531468410197741562225802346496) (+.f64 1 (.f64 2 (/.f64 f n))) (if (or (<=.f64 n -7032821178101767/576460752303423488) (not (or (<=.f64 n -551821675271585/452312848583266388373324160190187140051835877600158453279131187530910662656) (not (<=.f64 n 5948145050896699/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752))))) (-.f64 (.f64 -2 (/.f64 n f)) 1) (+.f64 1 (*.f64 2 (/.f64 f n)))))
(if (or (<=.f64 n -3299999999999999711783531468410197741562225802346496) (not (or (<=.f64 n -7032821178101767/576460752303423488) (not (or (<=.f64 n -551821675271585/452312848583266388373324160190187140051835877600158453279131187530910662656) (not (<=.f64 n 5948145050896699/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752))))))) (+.f64 1 (.f64 2 (/.f64 f n))) (+.f64 (.f64 -2 (/.f64 n f)) -1))
(if (or (<=.f64 n -3299999999999999711783531468410197741562225802346496) (not (or (<=.f64 n -7032821178101767/576460752303423488) (and (not (<=.f64 n -551821675271585/452312848583266388373324160190187140051835877600158453279131187530910662656)) (<=.f64 n 5948145050896699/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752))))) (+.f64 1 (.f64 2 (/.f64 f n))) (+.f64 (.f64 -2 (/.f64 n f)) -1))
(if (<=.f64 n -125999999999999999145839532969565125034175263684952064) (+.f64 1 (.f64 2 (/.f64 f n))) (if (<=.f64 n -1152921504606847/72057594037927936) -1 (if (<=.f64 n -8684406692798715/1809251394333065553493296640760748560207343510400633813116524750123642650624) (+.f64 1 (.f64 2 (/.f64 f n))) (if (<=.f64 n 5948145050896699/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752) -1 (+.f64 1 (*.f64 2 (/.f64 f n)))))))
(if (<=.f64 n -125999999999999999145839532969565125034175263684952064) (+.f64 1 (.f64 2 (/.f64 f n))) (if (<=.f64 n -1152921504606847/72057594037927936) -1 (if (or (<=.f64 n -8684406692798715/1809251394333065553493296640760748560207343510400633813116524750123642650624) (not (<=.f64 n 5948145050896699/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752))) (+.f64 1 (.f64 2 (/.f64 f n))) -1)))
(if (or (<=.f64 n -125999999999999999145839532969565125034175263684952064) (not (or (<=.f64 n -1152921504606847/72057594037927936) (not (or (<=.f64 n -8684406692798715/1809251394333065553493296640760748560207343510400633813116524750123642650624) (not (<=.f64 n 5948145050896699/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752))))))) (+.f64 1 (*.f64 2 (/.f64 f n))) -1)
(if (or (<=.f64 n -125999999999999999145839532969565125034175263684952064) (not (or (<=.f64 n -1152921504606847/72057594037927936) (and (not (<=.f64 n -8684406692798715/1809251394333065553493296640760748560207343510400633813116524750123642650624)) (<=.f64 n 5948145050896699/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752))))) (+.f64 1 (*.f64 2 (/.f64 f n))) -1)
(if (<=.f64 n -399999999999999997288379469744651190584683376777625600) 1 (if (<=.f64 n -8214565720323785/288230376151711744) -1 (if (<=.f64 n -3618502788666131/452312848583266388373324160190187140051835877600158453279131187530910662656) 1 (if (<=.f64 n 1068467890724151/485667223056432267729865476705879726660601709763034880312953102434726071301302124544) -1 1))))
-1

Compiler

Compiled 97 to 75 computations (22.7% saved)

soundness240.0ms (8.7%)

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%)

preprocess59.0ms (2.2%)

Compiler: Compiled 198 to 144 computations (27.3% saved)

analyze18.0ms (0.6%)

sample756.0ms (27.5%)

preprocess161.0ms (5.9%)

eval0.0ms (0%)

prune1.0ms (0%)

localize26.0ms (1%)

series2.0ms (0.1%)

rewrite148.0ms (5.4%)

simplify55.0ms (2%)

eval40.0ms (1.5%)

prune47.0ms (1.7%)

localize130.0ms (4.7%)

series15.0ms (0.5%)

rewrite169.0ms (6.1%)

simplify192.0ms (7%)

eval89.0ms (3.2%)

prune45.0ms (1.7%)

localize39.0ms (1.4%)

series1.0ms (0%)

rewrite70.0ms (2.5%)

simplify57.0ms (2.1%)

eval48.0ms (1.8%)

prune25.0ms (0.9%)

localize0.0ms (0%)

eval0.0ms (0%)

prune4.0ms (0.1%)

regimes31.0ms (1.1%)

regimes44.0ms (1.6%)

regimes23.0ms (0.8%)

regimes19.0ms (0.7%)

regimes8.0ms (0.3%)

bsearch46.0ms (1.7%)

bsearch46.0ms (1.7%)

bsearch83.0ms (3%)

simplify11.0ms (0.4%)

soundness240.0ms (8.7%)

end0.0ms (0%)

preprocess59.0ms (2.2%)

Profiling