Cubic critical, wide range

Time bar (total: 2.9s)

analyze303.0ms (10.3%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
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
0%0%0%100%0%0%0%5
0%0%0%100%0%0%0%6
6.8%0%0%100%0%0%0%7
15.9%0%0%100%0%0%0%8
23.1%0%0%100%0%0%0%9
36.5%0%0%100%0%0%0%10
45.4%0%0%100%0%0%0%11
52.3%0%0%100%0%0%0%12
Compiler

Compiled 43 to 25 computations (41.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 168.0ms
ival-<: 38.0ms (22.6% of total)
ival-mult: 32.0ms (19.1% of total)
...c/correct-round.rkt:104:19: 30.0ms (17.9% of total)
ival-sub: 15.0ms (8.9% of total)
ival-neg: 14.0ms (8.3% of total)
ival-sqrt: 12.0ms (7.2% of total)
ival-div: 11.0ms (6.6% of total)
ival-add: 8.0ms (4.8% of total)
ival-and: 7.0ms (4.2% of total)
const: 2.0ms (1.2% of total)

sample2.1s (71.2%)

Results
987.0ms6682×256valid
465.0ms1574×512valid
173.0ms1146×256invalid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-<: 258.0ms (21.2% of total)
...c/correct-round.rkt:104:19: 241.0ms (19.8% of total)
ival-mult: 236.0ms (19.4% of total)
ival-div: 112.0ms (9.2% of total)
ival-sqrt: 98.0ms (8.1% of total)
ival-neg: 73.0ms (6% of total)
ival-add: 70.0ms (5.8% of total)
ival-sub: 65.0ms (5.3% of total)
ival-and: 51.0ms (4.2% of total)
const: 11.0ms (0.9% of total)
Bogosity

preprocess370.0ms (12.6%)

Algorithm
1×egg-herbie
Rules
838×div-sub
712×fma-neg
592×fma-define
501×sub-neg
393×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
060779
1176671
2482671
31308671
43657671
57636671
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) (neg.f64 a)) c)))) (*.f64 #s(literal 3 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 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) (neg.f64 c))))) (*.f64 #s(literal 3 binary64) a))
(neg.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) (neg.f64 a)) c)))) (*.f64 #s(literal 3 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 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)))
(neg.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) (neg.f64 c))))) (*.f64 #s(literal 3 binary64) a)))
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 (*.f64 #s(literal 3 binary64) b) c)))) (*.f64 #s(literal 3 binary64) b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) c) a)))) (*.f64 #s(literal 3 binary64) c))
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 (*.f64 #s(literal 3 binary64) a) b)))) (*.f64 #s(literal 3 binary64) a))
Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 a c))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 a c))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) (neg.f64 a)) c)))) (*.f64 #s(literal 3 binary64) (neg.f64 a)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 (neg.f64 a) c))))) (*.f64 #s(literal 3 binary64) (neg.f64 a)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal 3 binary64) (*.f64 a c)))) b) (*.f64 a #s(literal -3 binary64)))
(*.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 3 binary64) c)))) b) a))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 3 binary64) c)))) b) a) #s(literal -1/3 binary64))
(/.f64 (+.f64 (neg.f64 (neg.f64 b)) (sqrt.f64 (-.f64 (*.f64 (neg.f64 b) (neg.f64 b)) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 a c))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64)))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) (neg.f64 c))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal 3 binary64) (*.f64 a c)))) b) (*.f64 #s(literal 3 binary64) a))
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 3 binary64) c)))) b) a))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 3 binary64) c)))) b) a) #s(literal 1/3 binary64))
(neg.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) (neg.f64 a)) c)))) (*.f64 #s(literal 3 binary64) (neg.f64 a))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) (neg.f64 c))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal 3 binary64) (*.f64 a c)))) b) (*.f64 #s(literal 3 binary64) a))
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 3 binary64) c)))) b) a))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 3 binary64) c)))) b) a) #s(literal 1/3 binary64))
(neg.f64 (/.f64 (+.f64 (neg.f64 (neg.f64 b)) (sqrt.f64 (-.f64 (*.f64 (neg.f64 b) (neg.f64 b)) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)))
(/.f64 (+.f64 b (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 a c))))) (*.f64 #s(literal 3 binary64) (neg.f64 a)))
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64)))))) (*.f64 a #s(literal -3 binary64)))
(neg.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) (neg.f64 c))))) (*.f64 #s(literal 3 binary64) a)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 (neg.f64 a) c))))) (*.f64 #s(literal 3 binary64) (neg.f64 a)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 #s(literal 3 binary64) (*.f64 a c)))) b) (*.f64 a #s(literal -3 binary64)))
(*.f64 #s(literal -1/3 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 3 binary64) c)))) b) a))
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal 3 binary64) c)))) b) a) #s(literal -1/3 binary64))
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 (*.f64 #s(literal 3 binary64) b) c)))) (*.f64 #s(literal 3 binary64) b))
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (*.f64 a a) (*.f64 #s(literal 3 binary64) (*.f64 b c))))) (*.f64 b #s(literal 3 binary64)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a a (*.f64 c (*.f64 b #s(literal -3 binary64))))) a) (*.f64 b #s(literal 3 binary64)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a a (*.f64 b (*.f64 c #s(literal -3 binary64))))) a) (*.f64 b #s(literal 3 binary64)))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b (*.f64 c #s(literal -3 binary64)) (*.f64 a a))) a) (*.f64 b #s(literal 3 binary64)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) c) a)))) (*.f64 #s(literal 3 binary64) c))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 3 binary64) (*.f64 c a))))) (*.f64 #s(literal 3 binary64) c))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 c #s(literal -3 binary64))))) b) (*.f64 #s(literal 3 binary64) c))
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 (*.f64 #s(literal 3 binary64) a) b)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (*.f64 c c) (*.f64 b (*.f64 #s(literal 3 binary64) a))))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c c (*.f64 b (*.f64 a #s(literal -3 binary64))))) c) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b (*.f64 a #s(literal -3 binary64)) (*.f64 c c))) c) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 c (sqrt.f64 (fma.f64 b (*.f64 a #s(literal -3 binary64)) (*.f64 c c)))) (*.f64 a #s(literal -3 binary64)))

explain147.0ms (5%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2470-0-(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))))
00-0-(*.f64 #s(literal 3 binary64) a)
00-0-b
00-0-(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))
00-0-(neg.f64 b)
00-0-(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
00-0-(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))
00-0-c
00-0-(*.f64 b b)
00-0-(*.f64 (*.f64 #s(literal 3 binary64) a) c)
00-0-#s(literal 3 binary64)
00-0-a
Results
54.0ms416×256valid
21.0ms96×512valid
Compiler

Compiled 160 to 38 computations (76.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-mult: 12.0ms (29.8% of total)
ival-add: 11.0ms (27.3% of total)
ival-div: 5.0ms (12.4% of total)
ival-sqrt: 5.0ms (12.4% of total)
ival-neg: 4.0ms (9.9% of total)
ival-sub: 3.0ms (7.4% of total)
const: 1.0ms (2.5% of total)

eval0.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
18.0%
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
Compiler

Compiled 40 to 24 computations (40% saved)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
8×*-commutative
8×+-commutative
7×sub-neg
6×neg-sub0
6×neg-mul-1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01969
13165
25065
36165
46965
57265
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a))
(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) b) (*.f64 #s(literal 3 binary64) a))

soundness0.0ms (0%)

Stop Event
1×fuel
Compiler

Compiled 19 to 11 computations (42.1% saved)

preprocess22.0ms (0.7%)

Compiler

Compiled 78 to 46 computations (41% saved)

end0.0ms (0%)

Profiling

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