Metrics for jeff quadratic root 1

analyze227.0ms (7.5%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
34.4%	34.3%	65.5%	0.1%	0%	0%	0%	6
40%	37.4%	56.2%	0.1%	0%	6.2%	0%	7
47.5%	44.5%	49.1%	0.1%	0%	6.2%	0%	8
54.7%	49.9%	41.3%	0.1%	0%	8.6%	0%	9
61%	52.9%	33.7%	0.1%	0%	13.3%	0%	10
67.4%	57.8%	28%	0.1%	0%	14%	0%	11
72.5%	60.5%	23%	0.1%	0%	16.4%	0%	12

Compiler

Compiled 42 to 21 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 124.0ms

ival-mult: 51.0ms (41.2% of total)

ival-div: 13.0ms (10.5% of total)

ival-sub: 13.0ms (10.5% of total)

ival-sqrt: 10.0ms (8.1% of total)

ival-neg: 10.0ms (8.1% of total)

ival-if: 8.0ms (6.5% of total)

ival->=: 8.0ms (6.5% of total)

ival-add: 7.0ms (5.7% of total)

const: 3.0ms (2.4% of total)

sample2.1s (70.5%)

Results

1.4s	8256×	256	valid
149.0ms	1023×	256	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-mult: 347.0ms (29.1% of total)

ival-neg: 304.0ms (25.5% of total)

ival-div: 154.0ms (12.9% of total)

ival-sub: 103.0ms (8.6% of total)

ival-sqrt: 84.0ms (7% of total)

ival->=: 64.0ms (5.4% of total)

ival-if: 58.0ms (4.9% of total)

ival-add: 57.0ms (4.8% of total)

const: 20.0ms (1.7% of total)

Bogosity

preprocess199.0ms (6.6%)

Algorithm

1×	egg-herbie

Rules

500×	`times-frac`
406×	`associate-/r*`
405×	`fma-neg`
387×	`sub-neg`
345×	`unsub-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	95	1702
1	261	1530
2	757	1530
3	2048	1494
4	5373	1494
5	7109	1494
6	7797	1494

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a)) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a)) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) (neg.f64 a)) c)))) (.f64 #s(literal 2 binary64) (neg.f64 a))) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) (neg.f64 a)) c))))))
(if (>=.f64 (neg.f64 b) #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 (neg.f64 b)) (sqrt.f64 (-.f64 (.f64 (neg.f64 b) (neg.f64 b)) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a)) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 (neg.f64 b)) (sqrt.f64 (-.f64 (.f64 (neg.f64 b) (neg.f64 b)) (.f64 (.f64 #s(literal 4 binary64) a) c))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) (neg.f64 c))))) (.f64 #s(literal 2 binary64) a)) (/.f64 (.f64 #s(literal 2 binary64) (neg.f64 c)) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) (neg.f64 c)))))))
(neg.f64 (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) (neg.f64 a)) c)))) (.f64 #s(literal 2 binary64) (neg.f64 a))) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) (neg.f64 a)) c)))))))
(neg.f64 (if (>=.f64 (neg.f64 b) #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 (neg.f64 b)) (sqrt.f64 (-.f64 (.f64 (neg.f64 b) (neg.f64 b)) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a)) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 (neg.f64 b)) (sqrt.f64 (-.f64 (.f64 (neg.f64 b) (neg.f64 b)) (.f64 (.f64 #s(literal 4 binary64) a) c)))))))
(neg.f64 (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) (neg.f64 c))))) (.f64 #s(literal 2 binary64) a)) (/.f64 (.f64 #s(literal 2 binary64) (neg.f64 c)) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) (neg.f64 c))))))))
(if (>=.f64 a #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 (.f64 #s(literal 4 binary64) b) c)))) (.f64 #s(literal 2 binary64) b)) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 (.f64 #s(literal 4 binary64) b) c))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) c) a)))) (.f64 #s(literal 2 binary64) c)) (/.f64 (.f64 #s(literal 2 binary64) a) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) c) a))))))
(if (>=.f64 c #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 (.f64 #s(literal 4 binary64) a) b)))) (.f64 #s(literal 2 binary64) a)) (/.f64 (.f64 #s(literal 2 binary64) b) (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 (.f64 #s(literal 4 binary64) a) b))))))

Outputs
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a)) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 a #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (/.f64 c (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c #s(literal -4 binary64)))))) (.f64 a #s(literal 2 binary64))) (.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c #s(literal -4 binary64))))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) a)) (.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a)) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 a #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (/.f64 c (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c #s(literal -4 binary64)))))) (.f64 a #s(literal 2 binary64))) (.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c #s(literal -4 binary64))))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) a)) (.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) (neg.f64 a)) c)))) (.f64 #s(literal 2 binary64) (neg.f64 a))) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) (neg.f64 a)) c))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 (neg.f64 a) c))))) (.f64 #s(literal 2 binary64) (neg.f64 a))) (/.f64 (.f64 c #s(literal 2 binary64)) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 (neg.f64 a) c)))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 a #s(literal -2 binary64))) (.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal 4 binary64) (.f64 a c)))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 a c) (.f64 b b)))) (.f64 a #s(literal 2 binary64))) (.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 a c) (.f64 b b))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 a c) (.f64 b b))))) (.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 a c) (.f64 b b))) b))))
(if (>=.f64 (neg.f64 b) #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 (neg.f64 b)) (sqrt.f64 (-.f64 (.f64 (neg.f64 b) (neg.f64 b)) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a)) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 (neg.f64 b)) (sqrt.f64 (-.f64 (.f64 (neg.f64 b) (neg.f64 b)) (.f64 (.f64 #s(literal 4 binary64) a) c))))))
(if (>=.f64 (neg.f64 b) #s(literal 0 binary64)) (/.f64 (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 a #s(literal 2 binary64))) (/.f64 (.f64 c #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c)))))))
(if (>=.f64 (neg.f64 b) #s(literal 0 binary64)) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c #s(literal -4 binary64)))))) (.f64 a #s(literal 2 binary64))) (/.f64 (.f64 c #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c #s(literal -4 binary64))))))))
(if (>=.f64 (neg.f64 b) #s(literal 0 binary64)) (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) a)) (.f64 c (/.f64 #s(literal 2 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) (neg.f64 c))))) (.f64 #s(literal 2 binary64) a)) (/.f64 (.f64 #s(literal 2 binary64) (neg.f64 c)) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) (neg.f64 c)))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) (neg.f64 c))))) (.f64 a #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (/.f64 (neg.f64 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) (neg.f64 c))))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 a #s(literal 2 binary64))) (/.f64 (.f64 c #s(literal -2 binary64)) (-.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal 4 binary64) (.f64 a c)))) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 a #s(literal 2 binary64))) (.f64 (/.f64 c (-.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal 4 binary64) (.f64 a c)))) b)) #s(literal -2 binary64)))
(if (>=.f64 b #s(literal 0 binary64)) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 a c) (.f64 b b)))) a)) (.f64 #s(literal 2 binary64) (/.f64 c (-.f64 b (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 a c) (.f64 b b)))))))
(neg.f64 (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) (neg.f64 a)) c)))) (.f64 #s(literal 2 binary64) (neg.f64 a))) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) (neg.f64 a)) c)))))))
(neg.f64 (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 (neg.f64 a) c))))) (.f64 #s(literal 2 binary64) (neg.f64 a))) (/.f64 (.f64 c #s(literal 2 binary64)) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 (neg.f64 a) c))))))))
(neg.f64 (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 a #s(literal -2 binary64))) (.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal 4 binary64) (.f64 a c)))) b)))))
(neg.f64 (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 a c) (.f64 b b)))) (.f64 a #s(literal 2 binary64))) (.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 a c) (.f64 b b))) b)))))
(neg.f64 (if (>=.f64 b #s(literal 0 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) a) (+.f64 b (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 a c) (.f64 b b))))) (.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 a c) (.f64 b b))) b)))))
(neg.f64 (if (>=.f64 (neg.f64 b) #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 (neg.f64 b)) (sqrt.f64 (-.f64 (.f64 (neg.f64 b) (neg.f64 b)) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a)) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 (neg.f64 b)) (sqrt.f64 (-.f64 (.f64 (neg.f64 b) (neg.f64 b)) (.f64 (.f64 #s(literal 4 binary64) a) c)))))))
(neg.f64 (if (>=.f64 (neg.f64 b) #s(literal 0 binary64)) (/.f64 (-.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 a #s(literal 2 binary64))) (/.f64 (.f64 c #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 a c))))))))
(neg.f64 (if (>=.f64 (neg.f64 b) #s(literal 0 binary64)) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c #s(literal -4 binary64)))))) (.f64 a #s(literal 2 binary64))) (/.f64 (.f64 c #s(literal 2 binary64)) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c #s(literal -4 binary64)))))))))
(neg.f64 (if (>=.f64 (neg.f64 b) #s(literal 0 binary64)) (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b) a)) (.f64 c (/.f64 #s(literal 2 binary64) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))))))
(neg.f64 (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) (neg.f64 c))))) (.f64 #s(literal 2 binary64) a)) (/.f64 (.f64 #s(literal 2 binary64) (neg.f64 c)) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) (neg.f64 c))))))))
(neg.f64 (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) (neg.f64 c))))) (.f64 a #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (/.f64 (neg.f64 c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) (neg.f64 c)))))))))
(neg.f64 (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 a #s(literal 2 binary64))) (/.f64 (.f64 c #s(literal -2 binary64)) (-.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal 4 binary64) (.f64 a c)))) b))))
(neg.f64 (if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 #s(literal 4 binary64) (.f64 a c))))) (.f64 a #s(literal 2 binary64))) (.f64 (/.f64 c (-.f64 (sqrt.f64 (fma.f64 b b (.f64 #s(literal 4 binary64) (.f64 a c)))) b)) #s(literal -2 binary64))))
(neg.f64 (if (>=.f64 b #s(literal 0 binary64)) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 a c) (.f64 b b)))) a)) (.f64 #s(literal 2 binary64) (/.f64 c (-.f64 b (sqrt.f64 (fma.f64 #s(literal 4 binary64) (.f64 a c) (.f64 b b))))))))
(if (>=.f64 a #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 (.f64 #s(literal 4 binary64) b) c)))) (.f64 #s(literal 2 binary64) b)) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 (.f64 #s(literal 4 binary64) b) c))))))
(if (>=.f64 a #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 #s(literal 4 binary64) (.f64 b c))))) (.f64 b #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (/.f64 c (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 #s(literal 4 binary64) (.f64 b c))))))))
(if (>=.f64 a #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 a) (sqrt.f64 (fma.f64 a a (.f64 c (.f64 b #s(literal -4 binary64)))))) (.f64 b #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (/.f64 c (-.f64 (sqrt.f64 (fma.f64 a a (.f64 c (.f64 b #s(literal -4 binary64))))) a))))
(if (>=.f64 a #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 a) (sqrt.f64 (fma.f64 a a (.f64 b (.f64 c #s(literal -4 binary64)))))) (.f64 b #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (/.f64 c (-.f64 (sqrt.f64 (fma.f64 a a (.f64 b (.f64 c #s(literal -4 binary64))))) a))))
(if (>=.f64 a #s(literal 0 binary64)) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 a (sqrt.f64 (fma.f64 c (.f64 b #s(literal -4 binary64)) (.f64 a a)))) b)) (.f64 c (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (fma.f64 c (.f64 b #s(literal -4 binary64)) (.f64 a a))) a))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) c) a)))) (.f64 #s(literal 2 binary64) c)) (/.f64 (.f64 #s(literal 2 binary64) a) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) c) a))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 c a))))) (.f64 c #s(literal 2 binary64))) (/.f64 (.f64 a #s(literal 2 binary64)) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 #s(literal 4 binary64) (.f64 c a)))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c #s(literal -4 binary64)))))) (.f64 c #s(literal 2 binary64))) (.f64 a (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c #s(literal -4 binary64))))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b)))) (.f64 c #s(literal -2 binary64))) (.f64 a (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b))))
(if (>=.f64 b #s(literal 0 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) c) (+.f64 b (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))))) (.f64 a (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (fma.f64 c (.f64 a #s(literal -4 binary64)) (.f64 b b))) b))))
(if (>=.f64 c #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 (.f64 #s(literal 4 binary64) a) b)))) (.f64 #s(literal 2 binary64) a)) (/.f64 (.f64 #s(literal 2 binary64) b) (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 (.f64 #s(literal 4 binary64) a) b))))))
(if (>=.f64 c #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 b (.f64 #s(literal 4 binary64) a))))) (.f64 a #s(literal 2 binary64))) (/.f64 (.f64 b #s(literal 2 binary64)) (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 b (.f64 #s(literal 4 binary64) a)))))))
(if (>=.f64 c #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (fma.f64 c c (.f64 b (.f64 a #s(literal -4 binary64)))))) (.f64 a #s(literal 2 binary64))) (/.f64 (.f64 b #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 c c (.f64 b (.f64 a #s(literal -4 binary64))))) c)))
(if (>=.f64 c #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (fma.f64 b (.f64 a #s(literal -4 binary64)) (.f64 c c)))) (.f64 a #s(literal 2 binary64))) (/.f64 (.f64 b #s(literal 2 binary64)) (-.f64 (sqrt.f64 (fma.f64 b (.f64 a #s(literal -4 binary64)) (.f64 c c))) c)))
(if (>=.f64 c #s(literal 0 binary64)) (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 c (sqrt.f64 (fma.f64 b (.f64 a #s(literal -4 binary64)) (.f64 c c)))) a)) (.f64 b (/.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (fma.f64 b (.f64 a #s(literal -4 binary64)) (.f64 c c))) c))))

explain428.0ms (14.2%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
118	0	-	3	(-6.1919685179733684e-266 1.4272209072428555e-159 4.998725435941875e-93)	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))`
72	1	(-4.3606880969685145e-270 -1.3948768413037529e+237 1.5168919488118837e+183)	1	(-2.3436408207371127e+109 -3.771094071551054e+124 3.4773136092932276e+137)	`(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))`
63	0	-	0	-	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))`
17	0	-	3	(-4.3606880969685145e-270 -1.3948768413037529e+237 1.5168919488118837e+183)	`(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`
11	0	-	1	(-2.4144418161056676e-80 2.231400910643149e-24 8.337054758130742e-255)	`(/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))))`
6	0	-	0	-	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`
0	0	-	0	-	`b`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`(.f64 (.f64 #s(literal 4 binary64) a) c)`
0	0	-	0	-	`(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a)) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))))))`
0	0	-	0	-	`#s(literal 0 binary64)`
0	0	-	0	-	`#s(literal 4 binary64)`
0	0	-	0	-	`(>=.f64 b #s(literal 0 binary64))`
0	0	-	0	-	`(*.f64 #s(literal 4 binary64) a)`
0	0	-	0	-	`(neg.f64 b)`
0	0	-	0	-	`c`
0	0	-	0	-	`(*.f64 #s(literal 2 binary64) a)`
0	0	-	0	-	`(*.f64 b b)`
0	0	-	0	-	`(*.f64 #s(literal 2 binary64) c)`
0	0	-	0	-	`a`

Results

106.0ms	150×	2048	valid
57.0ms	98×	1024	valid
38.0ms	38×	4096	valid
32.0ms	188×	256	valid
12.0ms	38×	512	valid

Compiler

Compiled 339 to 62 computations (81.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 127.0ms

ival-mult: 47.0ms (37% of total)

ival-div: 23.0ms (18.1% of total)

ival-sub: 14.0ms (11% of total)

ival-sqrt: 12.0ms (9.4% of total)

ival->=: 7.0ms (5.5% of total)

ival-if: 7.0ms (5.5% of total)

ival-neg: 7.0ms (5.5% of total)

ival-add: 7.0ms (5.5% of total)

const: 3.0ms (2.4% of total)

eval0.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.4%	(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a)) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))))))

Status

Accuracy

Program

70.4%

(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))

Compiler

Compiled 82 to 40 computations (51.2% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

15×	`*-commutative`
15×	`+-commutative`
13×	`sub-neg`
11×	`neg-sub0`
11×	`neg-mul-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	150
1	45	146
2	69	146
3	89	146
4	104	146
5	117	146
6	122	146
7	125	146
8	126	146

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (*.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))

Outputs
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a)) (/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 a #s(literal 2 binary64))) (/.f64 (.f64 c #s(literal 2 binary64)) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 a #s(literal 2 binary64))) (/.f64 (.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (neg.f64 (.f64 a #s(literal 2 binary64)))) (/.f64 (.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) b)))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 a (neg.f64 #s(literal 2 binary64)))) (/.f64 (.f64 c #s(literal 2 binary64)) (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))) b)))

soundness0.0ms (0%)

Stop Event

1×

fuel

Compiler

Compiled 40 to 20 computations (50% saved)

preprocess24.0ms (0.8%)

Compiler: Compiled 162 to 80 computations (50.6% saved)

jeff quadratic root 1

analyze227.0ms (7.5%)

sample2.1s (70.5%)

preprocess199.0ms (6.6%)

explain428.0ms (14.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.2%)

soundness0.0ms (0%)

preprocess24.0ms (0.8%)

end0.0ms (0%)

Profiling