sqrt sqr

Time bar (total: 2.6s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze13.0ms (0.5%)

Memory
-35.0MiB live, 3.0MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
75%75%25%0%0%0%0%3
87.5%87.5%12.5%0%0%0%0%4
93.8%93.7%6.2%0%0%0%0%5
96.9%96.8%3.1%0%0%0%0%6
98.4%98.4%1.6%0%0%0%0%7
99.2%99.2%0.8%0%0%0%0%8
99.6%99.6%0.4%0%0%0%0%9
99.8%99.8%0.2%0%0%0%0%10
99.9%99.9%0.1%0%0%0%0%11
100%99.9%0%0%0%0%0%12
Compiler

Compiled 14 to 10 computations (28.6% saved)

sample1.8s (70.4%)

Memory
67.7MiB live, 1 730.1MiB allocated
Samples
1.2s4 174×2valid
295.0ms4 082×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-mult: 473.0ms (39.3% of total)
ival-sub: 249.0ms (20.7% of total)
ival-div: 248.0ms (20.6% of total)
adjust: 113.0ms (9.4% of total)
ival-sqrt: 105.0ms (8.7% of total)
ival-true: 6.0ms (0.5% of total)
exact: 6.0ms (0.5% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

explain168.0ms (6.4%)

Memory
-5.5MiB live, 171.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1440-2(1.8856132122516203e-162)(sqrt.f64 (*.f64 x x))
00-0-(/.f64 #s(literal 1 binary64) x)
00-0-#s(literal 1 binary64)
0256(-1.1273295395788718e+269)0-(-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))))
00-0-(/.f64 x x)
00-0-(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x)))
00-0-(*.f64 x x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))))cancellation2560
sqrt.f64(sqrt.f64 (*.f64 x x))uflow-rescue790
↳(*.f64 x x)underflow79
sqrt.f64(sqrt.f64 (*.f64 x x))oflow-rescue630
↳(*.f64 x x)overflow63
Confusion
Predicted +Predicted -
+1530
-1030
Precision
0.59765625
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+15300
-10300
Precision?
0.59765625
Recall?
1.0
Freqs
test
numberfreq
1114
2142
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
39.0ms244×2valid
37.0ms268×0valid
Compiler

Compiled 121 to 42 computations (65.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-div: 30.0ms (52.4% of total)
ival-mult: 11.0ms (19.2% of total)
adjust: 6.0ms (10.5% of total)
ival-sub: 5.0ms (8.7% of total)
ival-sqrt: 5.0ms (8.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess54.0ms (2.1%)

Memory
-3.3MiB live, 41.2MiB allocated
Algorithm
1×egg-herbie
Rules
152×lower-fma.f64
152×lower-fma.f32
120×lower-*.f32
116×lower-*.f64
56×lower-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01021
13914
211112
322012
431312
536412
637512
737612
0812
0148
1286
2516
3796
41026
51346
61576
71836
82026
92096
102166
112316
123116
133316
143366
03366
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))))
Outputs
(-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))))
(-.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x))
Compiler

Compiled 12 to 8 computations (33.3% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶44.7%
(-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify17.0ms (0.7%)

Memory
-11.8MiB live, 24.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x)))
cost-diff704
(/.f64 x x)
cost-diff832
(sqrt.f64 (*.f64 x x))
Rules
152×lower-fma.f64
152×lower-fma.f32
120×lower-*.f32
116×lower-*.f64
56×lower-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0835
01425
12821
25121
37921
410221
513421
615721
718321
820221
920921
1021621
1123121
1231121
1333121
1433621
033621
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))))
(/.f64 x x)
x
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x)))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(sqrt.f64 (*.f64 x x))
(*.f64 x x)
Outputs
(-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))))
(-.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x))
(/.f64 x x)
#s(literal 1 binary64)
x
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x)))
(/.f64 (fabs.f64 x) x)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(sqrt.f64 (*.f64 x x))
(fabs.f64 x)
(*.f64 x x)

localize41.0ms (1.6%)

Memory
31.9MiB live, 68.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))))
accuracy0
(*.f64 x x)
accuracy0.15625
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x)))
accuracy33.14818684880852
(sqrt.f64 (*.f64 x x))
Samples
25.0ms122×2valid
8.0ms134×0valid
Compiler

Compiled 37 to 10 computations (73% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
adjust: 9.0ms (36.6% of total)
ival-div: 6.0ms (24.4% of total)
ival-mult: 5.0ms (20.3% of total)
ival-sqrt: 3.0ms (12.2% of total)
ival-sub: 2.0ms (8.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series27.0ms (1%)

Memory
-25.3MiB live, 8.5MiB allocated
Counts
5 → 60
Calls
Call 1
Inputs
#s(alt (sqrt.f64 (*.f64 x x)) (patch (sqrt.f64 (*.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 x x) (patch (/.f64 x x) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))) (patch (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x)))) (patch (-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x)))) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
Outputs
#s(alt x (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 x x)) (patch (sqrt.f64 (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 x x)) (patch (sqrt.f64 (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 x x)) (patch (sqrt.f64 (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (sqrt.f64 (*.f64 x x)) (patch (sqrt.f64 (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 x x) (patch (/.f64 x x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 x x) (patch (/.f64 x x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 x x) (patch (/.f64 x x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 x x) (patch (/.f64 x x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))) (patch (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))) (patch (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))) (patch (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))) (patch (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt 0 (taylor 0 x) (#s(alt (-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x)))) (patch (-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt 0 (taylor 0 x) (#s(alt (-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x)))) (patch (-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt 0 (taylor 0 x) (#s(alt (-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x)))) (patch (-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt 0 (taylor 0 x) (#s(alt (-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x)))) (patch (-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (sqrt.f64 (*.f64 x x)) (patch (sqrt.f64 (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (sqrt.f64 (*.f64 x x)) (patch (sqrt.f64 (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (sqrt.f64 (*.f64 x x)) (patch (sqrt.f64 (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (sqrt.f64 (*.f64 x x)) (patch (sqrt.f64 (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf x) (#s(alt (/.f64 x x) (patch (/.f64 x x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf x) (#s(alt (/.f64 x x) (patch (/.f64 x x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf x) (#s(alt (/.f64 x x) (patch (/.f64 x x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf x) (#s(alt (/.f64 x x) (patch (/.f64 x x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))) (patch (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))) (patch (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))) (patch (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))) (patch (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt 0 (taylor inf x) (#s(alt (-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x)))) (patch (-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt 0 (taylor inf x) (#s(alt (-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x)))) (patch (-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt 0 (taylor inf x) (#s(alt (-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x)))) (patch (-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt 0 (taylor inf x) (#s(alt (-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x)))) (patch (-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 x x)) (patch (sqrt.f64 (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 x x)) (patch (sqrt.f64 (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 x x)) (patch (sqrt.f64 (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 x x)) (patch (sqrt.f64 (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (/.f64 x x) (patch (/.f64 x x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (/.f64 x x) (patch (/.f64 x x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (/.f64 x x) (patch (/.f64 x x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt (/.f64 x x) (patch (/.f64 x x) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))) (patch (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))) (patch (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))) (patch (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))) (patch (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt 2 (taylor -inf x) (#s(alt (-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x)))) (patch (-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt 2 (taylor -inf x) (#s(alt (-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x)))) (patch (-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt 2 (taylor -inf x) (#s(alt (-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x)))) (patch (-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt 2 (taylor -inf x) (#s(alt (-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x)))) (patch (-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
24.0ms
x
@inf
((sqrt (* x x)) (/ x x) (* (/ 1 x) (sqrt (* x x))) (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) (* x x))
1.0ms
x
@-inf
((sqrt (* x x)) (/ x x) (* (/ 1 x) (sqrt (* x x))) (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) (* x x))
0.0ms
x
@0
((sqrt (* x x)) (/ x x) (* (/ 1 x) (sqrt (* x x))) (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) (* x x))

simplify4.0ms (0.2%)

Memory
11.4MiB live, 11.4MiB allocated
Algorithm
1×egg-herbie
Rules
12×lower-+.f64
12×lower-+.f32
6×lower-*.f64
6×lower-fma.f64
6×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0788
11188
21288
31388
41588
51788
62188
73088
83388
03388
Stop Event
1×iter limit
1×saturated
Counts
60 → 52
Calls
Call 1
Inputs
x
x
x
x
1
1
1
1
1
1
1
1
0
0
0
0
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
x
x
x
x
1
1
1
1
1
1
1
1
0
0
0
0
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
1
1
1
1
-1
-1
-1
-1
2
2
2
2
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
Outputs
x
x
x
x
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
x
x
x
x
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
1
#s(literal 1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

rewrite64.0ms (2.4%)

Memory
13.9MiB live, 101.8MiB allocated
Rules
206×lower-*.f32
204×lower-*.f64
108×lower-/.f32
106×lower-/.f64
84×lower-pow.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0830
01415
1667
23737
07197
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×iter limit
Counts
5 → 51
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 x x))
(/.f64 x x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x)))
(-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))))
(*.f64 x x)
Outputs
(*.f64 (neg.f64 x) #s(literal -1 binary64))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 #s(literal -1 binary64) (neg.f64 x))
(*.f64 #s(literal 1 binary64) x)
(*.f64 x #s(literal 1 binary64))
(pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/2 binary64))
(pow.f64 x #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (neg.f64 x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) (fabs.f64 (pow.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))
(/.f64 x #s(literal 1 binary64))
(neg.f64 (neg.f64 x))
(sqrt.f64 (*.f64 x x))
(-.f64 #s(literal 0 binary64) (neg.f64 x))
(fabs.f64 (-.f64 x #s(literal 0 binary64)))
(fabs.f64 (neg.f64 x))
(fabs.f64 x)
(exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(exp.f64 (log.f64 x))
x
#s(literal 1 binary64)
#s(literal 1 binary64)
#s(literal 0 binary64)
(*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(/.f64 (*.f64 x (neg.f64 x)) #s(literal -1 binary64))
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 x (pow.f64 x #s(literal -1 binary64)))
(sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x (neg.f64 x)))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval13.0ms (0.5%)

Memory
3.8MiB live, 40.2MiB allocated
Compiler

Compiled 1 080 to 211 computations (80.5% saved)

prune8.0ms (0.3%)

Memory
-11.8MiB live, 26.2MiB allocated
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1012103
Fresh000
Picked101
Done000
Total1022104
Accuracy
100.0%
Counts
104 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶53.8%
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64))
▶49.3%
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))
Compiler

Compiled 4 to 6 computations (-50% saved)

simplify18.0ms (0.7%)

Memory
-18.5MiB live, 26.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64))
cost-diff0
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))
Rules
152×lower-fma.f64
152×lower-fma.f32
120×lower-*.f64
120×lower-*.f32
56×lower-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01230
01222
12418
24718
37518
49918
513118
615418
718018
819918
920618
1021318
1122818
1230618
1332618
1433118
033118
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64))
#s(literal 2 binary64)

localize35.0ms (1.3%)

Memory
21.5MiB live, 99.3MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy29.546875000000004
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64))
accuracy32.45312500000001
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))
Samples
20.0ms122×2valid
8.0ms134×0valid
Compiler

Compiled 28 to 12 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 7.0ms (34% of total)
ival-div: 5.0ms (24.3% of total)
adjust: 3.0ms (14.6% of total)
ival-sqrt: 3.0ms (14.6% of total)
ival-sub: 2.0ms (9.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Counts
2 → 24
Calls
Call 1
Inputs
#s(alt #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)) (patch #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64)) (patch #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64)) #<representation binary64>) () ())
Outputs
#s(alt 0 (taylor 0 x) (#s(alt #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)) (patch #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt 0 (taylor 0 x) (#s(alt #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)) (patch #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt 0 (taylor 0 x) (#s(alt #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)) (patch #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt 0 (taylor 0 x) (#s(alt #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)) (patch #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt 0 (taylor 0 x) (#s(alt #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64)) (patch #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 0 (taylor 0 x) (#s(alt #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64)) (patch #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 0 (taylor 0 x) (#s(alt #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64)) (patch #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 0 (taylor 0 x) (#s(alt #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64)) (patch #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 0 (taylor inf x) (#s(alt #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)) (patch #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt 0 (taylor inf x) (#s(alt #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)) (patch #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt 0 (taylor inf x) (#s(alt #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)) (patch #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt 0 (taylor inf x) (#s(alt #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)) (patch #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt 0 (taylor inf x) (#s(alt #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64)) (patch #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 0 (taylor inf x) (#s(alt #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64)) (patch #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 0 (taylor inf x) (#s(alt #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64)) (patch #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 0 (taylor inf x) (#s(alt #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64)) (patch #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 2 (taylor -inf x) (#s(alt #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)) (patch #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt 2 (taylor -inf x) (#s(alt #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)) (patch #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt 2 (taylor -inf x) (#s(alt #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)) (patch #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt 2 (taylor -inf x) (#s(alt #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)) (patch #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)) #<representation binary64>) () ())) ())
#s(alt 2 (taylor -inf x) (#s(alt #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64)) (patch #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 2 (taylor -inf x) (#s(alt #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64)) (patch #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 2 (taylor -inf x) (#s(alt #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64)) (patch #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 2 (taylor -inf x) (#s(alt #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64)) (patch #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
((- (/ x x) (* (/ 1 x) (sqrt (* x x)))) (- (/ x x) (* (/ 1 x) (sqrt (* x x)))))
0.0ms
x
@inf
((- (/ x x) (* (/ 1 x) (sqrt (* x x)))) (- (/ x x) (* (/ 1 x) (sqrt (* x x)))))
0.0ms
x
@-inf
((- (/ x x) (* (/ 1 x) (sqrt (* x x)))) (- (/ x x) (* (/ 1 x) (sqrt (* x x)))))

simplify2.0ms (0.1%)

Memory
3.4MiB live, 3.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0224
0224
Stop Event
1×saturated
1×saturated
Counts
24 → 24
Calls
Call 1
Inputs
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
2
2
2
2
2
2
2
2
Outputs
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)

rewrite47.0ms (1.8%)

Memory
-1.9MiB live, 36.4MiB allocated
Rules
206×lower-*.f64
206×lower-*.f32
108×lower-/.f64
108×lower-/.f32
84×lower-pow.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01228
01220
1616
23696
07166
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×saturated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64))
Outputs
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64))

eval2.0ms (0.1%)

Memory
4.4MiB live, 4.4MiB allocated
Compiler

Compiled 52 to 5 computations (90.4% saved)

prune25.0ms (1%)

Memory
-40.9MiB live, 5.7MiB allocated
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New26026
Fresh000
Picked022
Done000
Total26228
Accuracy
100.0%
Counts
28 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓53.8%
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64))
✓49.3%
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))
Compiler

Compiled 20 to 18 computations (10% saved)

regimes4.0ms (0.2%)

Memory
5.3MiB live, 5.3MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64))
(-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))))
Outputs
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64))
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))
Calls

2 calls:

2.0ms
x
2.0ms
(-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))))
Results
AccuracySegmentsBranch
100.0%2x
85.6%2(-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))))
Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes3.0ms (0.1%)

Memory
4.9MiB live, 4.9MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))
Outputs
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))
Calls

2 calls:

1.0ms
x
1.0ms
(-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))))
Results
AccuracySegmentsBranch
49.3%1(-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))))
49.3%1x
Compiler

Compiled 13 to 9 computations (30.8% saved)

bsearch18.0ms (0.7%)

Memory
24.8MiB live, 24.8MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
16.0ms
-1.836102140782334e-308
1.4963518961721166e-306
Samples
9.0ms64×2valid
3.0ms48×0valid
Compiler

Compiled 43 to 68 computations (-58.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 2.0ms (23.9% of total)
ival-mult: 2.0ms (23.9% of total)
adjust: 1.0ms (12% of total)
ival-sub: 1.0ms (12% of total)
ival-sqrt: 1.0ms (12% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify57.0ms (2.2%)

Memory
-1.6MiB live, 37.1MiB allocated
Algorithm
1×egg-herbie
Rules
2×1-exp-binary32-exp.f32
2×1-exp-binary64-exp.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01546
11746
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64)) #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)))
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))
Outputs
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64)) #s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64)))
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))

soundness48.0ms (1.8%)

Memory
-31.5MiB live, 5.8MiB allocated
Rules
12×lower-+.f64
12×lower-+.f32
6×lower-*.f64
6×lower-fma.f64
6×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0788
11188
21288
31388
41588
51788
62188
73088
83388
03388
Stop Event
1×done
1×iter limit
1×saturated
Compiler

Compiled 13 to 14 computations (-7.7% saved)

preprocess101.0ms (3.9%)

Memory
37.3MiB live, 74.7MiB allocated
Compiler

Compiled 56 to 42 computations (25% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...