Metrics for Eccentricity of an ellipse

analyze15.0ms (0.8%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	37.5%	62.5%	0%	0%	0%	0
0%	0%	37.5%	62.5%	0%	0%	0%	1
0%	0%	18.7%	81.3%	0%	0%	0%	2
0%	0%	9.4%	90.6%	0%	0%	0%	3
0%	0%	9.4%	90.6%	0%	0%	0%	4
0%	0%	7%	93%	0%	0%	0%	5
20%	1.2%	4.7%	94.1%	0%	0%	0%	6
25%	1.2%	3.5%	95.3%	0%	0%	0%	7
40%	1.8%	2.6%	95.6%	0%	0%	0%	8
51.9%	2%	1.9%	96%	0%	0%	0%	9
64.7%	2.4%	1.3%	96.3%	0%	0%	0%	10
72.9%	2.6%	1%	96.5%	0%	0%	0%	11
80.2%	2.7%	0.7%	96.6%	0%	0%	0%	12

Compiler

Compiled 26 to 16 computations (38.5% saved)

sample1.4s (74.3%)

Results

1.3s	8256×	body	256	valid
94.0ms	811×	body	256	precondition

Bogosity

preprocess99.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

1382×	`div-sub`
942×	`times-frac`
760×	`associate-r`
724×	`associate-*r/`
582×	`associate-/r/`

Problems

197×	No Errors
59×	`(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	407
1	106	323
2	376	295
3	2245	295

Stop Event

1×	node limit

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 (neg.f64 a) (neg.f64 a)) (.f64 b b)) (*.f64 (neg.f64 a) (neg.f64 a)))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 (neg.f64 b) (neg.f64 b))) (*.f64 a a))))
(neg.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 (neg.f64 a) (neg.f64 a)) (.f64 b b)) (*.f64 (neg.f64 a) (neg.f64 a))))))
(neg.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 (neg.f64 b) (neg.f64 b))) (*.f64 a a)))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 b b) (.f64 a a)) (*.f64 b b))))

Outputs
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 (neg.f64 a) (neg.f64 a)) (.f64 b b)) (*.f64 (neg.f64 a) (neg.f64 a)))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 (neg.f64 b) (neg.f64 b))) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1)))
(neg.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 (neg.f64 a) (neg.f64 a)) (.f64 b b)) (*.f64 (neg.f64 a) (neg.f64 a))))))
(neg.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))))
(neg.f64 (sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))))))
(neg.f64 (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))))
(neg.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 (neg.f64 b) (neg.f64 b))) (*.f64 a a)))))
(neg.f64 (sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))))
(neg.f64 (sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a))))))
(neg.f64 (sqrt.f64 (fabs.f64 (fma.f64 (/.f64 b a) (/.f64 b a) -1))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 b b) (.f64 a a)) (*.f64 b b))))
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 a b) (/.f64 a b)))))
(sqrt.f64 (fabs.f64 (fma.f64 (/.f64 a b) (/.f64 a b) -1)))

Symmetry

(abs a)

(abs b)

Compiler

Compiled 69 to 19 computations (72.5% saved)

eval1.0ms (0%)

Compiler: Compiled 23 to 12 computations (47.8% saved)

prune1.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))
▶	100.0%	(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))

Compiler

Compiled 26 to 16 computations (38.5% saved)

localize45.0ms (2.4%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	99.5%	(*.f64 (/.f64 b a) (/.f64 b a))

Compiler

Compiled 46 to 17 computations (63% saved)

series3.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(*.f64 (/.f64 b a) (/.f64 b a))
1.0ms	b	@	0	(*.f64 (/.f64 b a) (/.f64 b a))
1.0ms	b	@	inf	(*.f64 (/.f64 b a) (/.f64 b a))
0.0ms	a	@	inf	(*.f64 (/.f64 b a) (/.f64 b a))
0.0ms	b	@	-inf	(*.f64 (/.f64 b a) (/.f64 b a))

rewrite104.0ms (5.5%)

Algorithm

1×	batch-egg-rewrite

Rules

736×	`unpow-prod-down`
478×	`log-prod`
474×	`cbrt-prod`
453×	`log1p-expm1-u`
453×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	96	19
2	1295	19

Stop Event

1×	node limit

Counts

1 → 50

Calls

Call 1

Inputs
(*.f64 (/.f64 b a) (/.f64 b a))

Outputs
(+.f64 0 (pow.f64 (/.f64 b a) 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 b a) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))))
(-.f64 (+.f64 1 (pow.f64 (/.f64 b a) 2)) 1)
(/.f64 b (*.f64 a (/.f64 a b)))
(/.f64 b (*.f64 (/.f64 a b) a))
(/.f64 b (/.f64 (pow.f64 a 2) b))
(/.f64 b (/.f64 a (/.f64 b a)))
(/.f64 (/.f64 b a) (/.f64 a b))
(/.f64 1 (pow.f64 (/.f64 a b) 2))
(/.f64 1 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(/.f64 1 (/.f64 a (/.f64 (pow.f64 b 2) a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (neg.f64 b) (*.f64 (/.f64 a b) (neg.f64 a)))
(/.f64 (/.f64 (pow.f64 b 2) a) a)
(/.f64 (pow.f64 (neg.f64 b) 2) (pow.f64 (neg.f64 a) 2))
(/.f64 (.f64 b (neg.f64 b)) (.f64 a (neg.f64 a)))
(/.f64 (.f64 (neg.f64 b) b) (.f64 (neg.f64 a) a))
(/.f64 (.f64 (neg.f64 b) 1) (.f64 (neg.f64 a) (/.f64 a b)))
(/.f64 (neg.f64 (pow.f64 b 2)) (neg.f64 (pow.f64 a 2)))
(/.f64 (neg.f64 (/.f64 (pow.f64 b 2) a)) (neg.f64 a))
(/.f64 (*.f64 (/.f64 b a) (neg.f64 b)) (neg.f64 a))
(/.f64 (*.f64 (neg.f64 b) (/.f64 b a)) (neg.f64 a))
(/.f64 (/.f64 (/.f64 (pow.f64 b 2) a) 1) a)
(/.f64 (/.f64 (/.f64 (pow.f64 b 2) a) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
(/.f64 (/.f64 (/.f64 (pow.f64 b 2) a) (sqrt.f64 a)) (sqrt.f64 a))
(pow.f64 (/.f64 b a) 2)
(pow.f64 (pow.f64 (/.f64 b a) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) 3)
(pow.f64 (cbrt.f64 (/.f64 b a)) 6)
(pow.f64 (pow.f64 (/.f64 b a) 4) 1/2)
(pow.f64 (pow.f64 (/.f64 b a) 6) 1/3)
(pow.f64 (pow.f64 (/.f64 b a) 3) 2/3)
(pow.f64 (sqrt.f64 (/.f64 b a)) 4)
(pow.f64 (/.f64 a b) -2)
(pow.f64 (E.f64) (*.f64 2 (log.f64 (/.f64 b a))))
(pow.f64 (pow.f64 (/.f64 a b) 2) -1)
(pow.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 2)) -1)
(pow.f64 (/.f64 a (/.f64 (pow.f64 b 2) a)) -1)
(pow.f64 (exp.f64 2) (log.f64 (/.f64 b a)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 2 (log.f64 (/.f64 b a)))) 2)) (cbrt.f64 (.f64 2 (log.f64 (/.f64 b a)))))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 b a))))) (sqrt.f64 (.f64 2 (log.f64 (/.f64 b a)))))
(sqrt.f64 (pow.f64 (/.f64 b a) 4))
(log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))
(cbrt.f64 (pow.f64 (/.f64 b a) 6))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 b a) 2)))
(exp.f64 (*.f64 2 (log.f64 (/.f64 b a))))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (/.f64 b a)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 b a) 6)) 1/3))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 b a) 2)))

simplify61.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1626×	`log-prod`
1258×	`associate-r`
1122×	`associate-l`
800×	`log-div`
658×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	133	1998
1	317	1548
2	886	1548
3	6146	1548

Stop Event

1×	node limit

Counts

74 → 54

Calls

Call 1

Inputs
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(+.f64 0 (pow.f64 (/.f64 b a) 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 b a) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))))
(-.f64 (+.f64 1 (pow.f64 (/.f64 b a) 2)) 1)
(/.f64 b (*.f64 a (/.f64 a b)))
(/.f64 b (*.f64 (/.f64 a b) a))
(/.f64 b (/.f64 (pow.f64 a 2) b))
(/.f64 b (/.f64 a (/.f64 b a)))
(/.f64 (/.f64 b a) (/.f64 a b))
(/.f64 1 (pow.f64 (/.f64 a b) 2))
(/.f64 1 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(/.f64 1 (/.f64 a (/.f64 (pow.f64 b 2) a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(/.f64 (neg.f64 b) (*.f64 (/.f64 a b) (neg.f64 a)))
(/.f64 (/.f64 (pow.f64 b 2) a) a)
(/.f64 (pow.f64 (neg.f64 b) 2) (pow.f64 (neg.f64 a) 2))
(/.f64 (.f64 b (neg.f64 b)) (.f64 a (neg.f64 a)))
(/.f64 (.f64 (neg.f64 b) b) (.f64 (neg.f64 a) a))
(/.f64 (.f64 (neg.f64 b) 1) (.f64 (neg.f64 a) (/.f64 a b)))
(/.f64 (neg.f64 (pow.f64 b 2)) (neg.f64 (pow.f64 a 2)))
(/.f64 (neg.f64 (/.f64 (pow.f64 b 2) a)) (neg.f64 a))
(/.f64 (*.f64 (/.f64 b a) (neg.f64 b)) (neg.f64 a))
(/.f64 (*.f64 (neg.f64 b) (/.f64 b a)) (neg.f64 a))
(/.f64 (/.f64 (/.f64 (pow.f64 b 2) a) 1) a)
(/.f64 (/.f64 (/.f64 (pow.f64 b 2) a) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
(/.f64 (/.f64 (/.f64 (pow.f64 b 2) a) (sqrt.f64 a)) (sqrt.f64 a))
(pow.f64 (/.f64 b a) 2)
(pow.f64 (pow.f64 (/.f64 b a) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) 3)
(pow.f64 (cbrt.f64 (/.f64 b a)) 6)
(pow.f64 (pow.f64 (/.f64 b a) 4) 1/2)
(pow.f64 (pow.f64 (/.f64 b a) 6) 1/3)
(pow.f64 (pow.f64 (/.f64 b a) 3) 2/3)
(pow.f64 (sqrt.f64 (/.f64 b a)) 4)
(pow.f64 (/.f64 a b) -2)
(pow.f64 (E.f64) (*.f64 2 (log.f64 (/.f64 b a))))
(pow.f64 (pow.f64 (/.f64 a b) 2) -1)
(pow.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 2)) -1)
(pow.f64 (/.f64 a (/.f64 (pow.f64 b 2) a)) -1)
(pow.f64 (exp.f64 2) (log.f64 (/.f64 b a)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 2 (log.f64 (/.f64 b a)))) 2)) (cbrt.f64 (.f64 2 (log.f64 (/.f64 b a)))))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 b a))))) (sqrt.f64 (.f64 2 (log.f64 (/.f64 b a)))))
(sqrt.f64 (pow.f64 (/.f64 b a) 4))
(log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))
(cbrt.f64 (pow.f64 (/.f64 b a) 6))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 b a) 2)))
(exp.f64 (*.f64 2 (log.f64 (/.f64 b a))))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (/.f64 b a)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 b a) 6)) 1/3))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 b a) 2)))

Outputs
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(+.f64 0 (pow.f64 (/.f64 b a) 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 b a) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 b a) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))))
(-.f64 (+.f64 1 (pow.f64 (/.f64 b a) 2)) 1)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 b (*.f64 a (/.f64 a b)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 b (*.f64 (/.f64 a b) a))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 b (/.f64 (pow.f64 a 2) b))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 b (/.f64 a (/.f64 b a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (/.f64 b a) (/.f64 a b))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 1 (pow.f64 (/.f64 a b) 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 1 (/.f64 (pow.f64 a 2) (pow.f64 b 2)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 1 (/.f64 a (/.f64 (pow.f64 b 2) a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (neg.f64 b) (*.f64 (/.f64 a b) (neg.f64 a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (/.f64 (pow.f64 b 2) a) a)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 (neg.f64 b) 2) (pow.f64 (neg.f64 a) 2))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (.f64 b (neg.f64 b)) (.f64 a (neg.f64 a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (.f64 (neg.f64 b) b) (.f64 (neg.f64 a) a))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (.f64 (neg.f64 b) 1) (.f64 (neg.f64 a) (/.f64 a b)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (neg.f64 (pow.f64 b 2)) (neg.f64 (pow.f64 a 2)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (neg.f64 (/.f64 (pow.f64 b 2) a)) (neg.f64 a))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (*.f64 (/.f64 b a) (neg.f64 b)) (neg.f64 a))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (*.f64 (neg.f64 b) (/.f64 b a)) (neg.f64 a))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (/.f64 (/.f64 (pow.f64 b 2) a) 1) a)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (/.f64 (/.f64 (pow.f64 b 2) a) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(/.f64 (/.f64 (/.f64 (pow.f64 b 2) a) (sqrt.f64 a)) (sqrt.f64 a))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(pow.f64 (/.f64 b a) 2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (pow.f64 (/.f64 b a) 2) 1)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 b a)) 2) 3)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(pow.f64 (cbrt.f64 (/.f64 b a)) 6)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(pow.f64 (pow.f64 (/.f64 b a) 4) 1/2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(pow.f64 (pow.f64 (/.f64 b a) 6) 1/3)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(pow.f64 (pow.f64 (/.f64 b a) 3) 2/3)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(pow.f64 (sqrt.f64 (/.f64 b a)) 4)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(pow.f64 (/.f64 a b) -2)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(pow.f64 (E.f64) (*.f64 2 (log.f64 (/.f64 b a))))
(pow.f64 (pow.f64 (/.f64 a b) 2) -1)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(pow.f64 (/.f64 (pow.f64 a 2) (pow.f64 b 2)) -1)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(pow.f64 (/.f64 a (/.f64 (pow.f64 b 2) a)) -1)
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(pow.f64 (exp.f64 2) (log.f64 (/.f64 b a)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 2 (log.f64 (/.f64 b a)))) 2)) (cbrt.f64 (.f64 2 (log.f64 (/.f64 b a)))))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 b a))))) (sqrt.f64 (.f64 2 (log.f64 (/.f64 b a)))))
(sqrt.f64 (pow.f64 (/.f64 b a) 4))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(log.f64 (exp.f64 (pow.f64 (/.f64 b a) 2)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(cbrt.f64 (pow.f64 (/.f64 b a) 6))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 b a) 2)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(exp.f64 (*.f64 2 (log.f64 (/.f64 b a))))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (/.f64 b a)))) 3))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 b a) 6)) 1/3))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 b a) 2)))
(/.f64 (pow.f64 b 2) (pow.f64 a 2))
(pow.f64 (/.f64 b a) 2)

eval18.0ms (1%)

Compiler: Compiled 700 to 486 computations (30.6% saved)

prune8.0ms (0.4%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	54	1	55

Accuracy

100.0%

Counts

55 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))

Compiler

Compiled 39 to 22 computations (43.6% saved)

regimes18.0ms (0.9%)

Accuracy

Total -14.8b remaining (-∞%)

Threshold costs -14.8b (-∞%)

Counts

2 → 1

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))
(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

Outputs
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))

Calls

7 calls:

4.0ms	(*.f64 a a)
3.0ms	b
3.0ms	a
2.0ms	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
2.0ms	(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))

Results

Accuracy	Segments	Branch
100.0%	1	`a`
100.0%	1	`b`
100.0%	1	`(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))`
100.0%	1	`(fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a)))`
100.0%	1	`(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))`
100.0%	1	`(*.f64 a a)`
100.0%	1	`(*.f64 b b)`

Compiler

Compiled 84 to 45 computations (46.4% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

22×	`neg-mul-1`
20×	`unsub-neg`
14×	`+-commutative`
12×	`sub-neg`
8×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	45
1	23	45
2	34	45
3	43	45
4	52	45
5	68	45
6	91	45

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))

Outputs
(sqrt.f64 (fabs.f64 (-.f64 1 (*.f64 (/.f64 b a) (/.f64 b a)))))

Compiler

Compiled 13 to 8 computations (38.5% saved)

soundness73.0ms (3.9%)

Rules

1382×	`div-sub`
942×	`times-frac`
760×	`associate-r`
724×	`associate-*r/`
582×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	407
1	106	323
2	376	295
3	2245	295

Stop Event

1×	node limit

Compiler

Compiled 82 to 29 computations (64.6% saved)

end0.0ms (0%)

preprocess31.0ms (1.7%)

Remove

(abs b)

(abs a)

Compiler

Compiled 108 to 64 computations (40.7% saved)

analyze15.0ms (0.8%)

sample1.4s (74.3%)

preprocess99.0ms (5.3%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize45.0ms (2.4%)

series3.0ms (0.2%)

rewrite104.0ms (5.5%)

simplify61.0ms (3.3%)

eval18.0ms (1%)

prune8.0ms (0.4%)

regimes18.0ms (0.9%)

simplify3.0ms (0.2%)

soundness73.0ms (3.9%)

end0.0ms (0%)

preprocess31.0ms (1.7%)

Profiling