Metrics for Quadratic roots, medium range

analyze101.0ms (2.2%)

Memory

-7.7MiB live, 41.2MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
0%	0%	0%	100%	0%	0%	0%	1
0%	0%	0%	100%	0%	0%	0%	2
0%	0%	0%	100%	0%	0%	0%	3
0%	0%	0%	100%	0%	0%	0%	4
7.1%	0%	0%	100%	0%	0%	0%	5
20.8%	0%	0%	100%	0%	0%	0%	6
29.5%	0%	0%	100%	0%	0%	0%	7
37.5%	0%	0%	100%	0%	0%	0%	8
50.6%	0%	0%	100%	0%	0%	0%	9
58.2%	0%	0%	100%	0%	0%	0%	10
63.3%	0%	0%	100%	0%	0%	0%	11
72.3%	0%	0%	100%	0%	0%	0%	12

Compiler

Compiled 40 to 31 computations (22.5% saved)

sample4.3s (94.5%)

Memory

55.6MiB live, 1 361.7MiB allocated

Samples

1.2s	6 094×	1	valid-baseline
846.0ms	6 094×	1	valid-rival
445.0ms	6 094×	1	valid-sollya
255.0ms	2 161×	0	valid-baseline
171.0ms	2 161×	0	valid-rival
154.0ms	2 161×	0	valid-sollya
0.0ms	1×	1	valid-rival+baseline-real

Precisions

Click to see Rival histograms. Total time spent on operations: 801.0ms

ival-mult: 294.0ms (36.7% of total)

ival-sqrt: 105.0ms (13.1% of total)

ival-div: 97.0ms (12.1% of total)

adjust: 81.0ms (10.1% of total)

ival-neg: 73.0ms (9.1% of total)

ival-add: 67.0ms (8.4% of total)

ival-sub: 65.0ms (8.1% of total)

ival-true: 8.0ms (1% of total)

...in/eval/compile.rkt:76:19: 7.0ms (0.9% of total)

ival-assert: 3.0ms (0.4% of total)

Precisions

Click to see Base histograms. Total time spent on operations: 935.0ms

ival-mult: 417.0ms (44.6% of total)

ival-sqrt: 125.0ms (13.4% of total)

ival-div: 118.0ms (12.6% of total)

ival-add: 84.0ms (9% of total)

ival-neg: 83.0ms (8.9% of total)

ival-sub: 81.0ms (8.7% of total)

const: 28.0ms (3% of total)

Bogosity

preprocess119.0ms (2.6%)

Memory

7.8MiB live, 23.0MiB allocated

Algorithm

1×	egg-herbie

Rules

844×	`div-sub`
698×	`fmm-def`
688×	`fma-define`
507×	`sub-neg`
394×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	65	779
1	186	671
2	513	671
3	1362	671
4	3697	671
5	7736	671

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.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 (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 (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 (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 (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))
(neg.f64 (/.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))))
(neg.f64 (/.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)))
(neg.f64 (/.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 (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 (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 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 (.f64 #s(literal 4 binary64) a) b)))) (.f64 #s(literal 2 binary64) a))

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

Compiler

Compiled 20 to 14 computations (30% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune5.0ms (0.1%)

Memory

-16.4MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
	32.5%	(/.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))

Compiler

Compiled 40 to 28 computations (30% saved)

simplify3.0ms (0.1%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative`
8×	`+-commutative`
7×	`sub-neg`
6×	`neg-sub0`
6×	`neg-mul-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	69
1	34	65
2	53	65
3	64	65
4	72	65
5	75	65

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.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))

Outputs

(/.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 (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 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) b) (*.f64 a #s(literal 2 binary64)))

soundness0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Stop Event

1×

fuel

Compiler

Compiled 19 to 13 computations (31.6% saved)

preprocess21.0ms (0.5%)

Memory: 11.8MiB live, 27.0MiB allocated
Compiler: Compiled 78 to 54 computations (30.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze101.0ms (2.2%)

sample4.3s (94.5%)

preprocess119.0ms (2.6%)

eval0.0ms (0%)

prune5.0ms (0.1%)

simplify3.0ms (0.1%)

soundness0.0ms (0%)

preprocess21.0ms (0.5%)

end0.0ms (0%)

Profiling