sqrt sqr

Time bar (total: 2.6s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze5.0ms (0.2%)

Memory
-34.1MiB live, 2.0MiB 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)

sample1.7s (67.5%)

Memory
64.8MiB live, 1 619.4MiB allocated
Samples
1.1s4 051×2valid
295.0ms4 205×0valid
Precisions
Click to see histograms. Total time spent on operations: 855.0ms
ival-mult: 316.0ms (37% of total)
ival-div: 242.0ms (28.3% of total)
ival-sqrt: 114.0ms (13.3% of total)
adjust: 92.0ms (10.8% of total)
ival-sub: 78.0ms (9.1% of total)
ival-true: 5.0ms (0.6% of total)
exact: 5.0ms (0.6% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain201.0ms (7.8%)

Memory
20.4MiB live, 209.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1280-1(-1.8593576802818857e-157)(sqrt.f64 (*.f64 x x))
00-0-(/.f64 #s(literal 1 binary64) x)
00-0-#s(literal 1 binary64)
00-0-(-.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
sqrt.f64(sqrt.f64 (*.f64 x x))oflow-rescue670
↳(*.f64 x x)overflow67
sqrt.f64(sqrt.f64 (*.f64 x x))uflow-rescue600
↳(*.f64 x x)underflow60
Confusion
Predicted +Predicted -
+1276
-0123
Precision
1.0
Recall
0.9548872180451128
Confusion?
Predicted +Predicted MaybePredicted -
+12706
-00123
Precision?
1.0
Recall?
0.9548872180451128
Freqs
test
numberfreq
0129
1127
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
101.0ms232×2valid
33.0ms280×0valid
Compiler

Compiled 86 to 28 computations (67.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 81.0ms
ival-div: 36.0ms (44.5% of total)
ival-sub: 22.0ms (27.2% of total)
ival-mult: 11.0ms (13.6% of total)
adjust: 5.0ms (6.2% of total)
ival-sqrt: 5.0ms (6.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess42.0ms (1.6%)

Memory
-27.7MiB live, 26.5MiB 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
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶51.7%
(-.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)

simplify19.0ms (0.7%)

Memory
-10.1MiB live, 28.0MiB 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)

localize68.0ms (2.6%)

Memory
26.5MiB live, 62.7MiB 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)
accuracy0.16796875
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x)))
accuracy29.54764760288351
(sqrt.f64 (*.f64 x x))
Samples
43.0ms140×0valid
18.0ms116×2valid
Compiler

Compiled 37 to 10 computations (73% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-div: 39.0ms (75.6% of total)
ival-mult: 5.0ms (9.7% of total)
adjust: 3.0ms (5.8% of total)
ival-sub: 2.0ms (3.9% of total)
ival-sqrt: 2.0ms (3.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
12.4MiB live, 12.4MiB 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
1.0ms
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))

simplify6.0ms (0.2%)

Memory
-29.2MiB live, 7.7MiB 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)

rewrite63.0ms (2.5%)

Memory
12.6MiB live, 95.4MiB 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
-0.6MiB live, 33.9MiB allocated
Compiler

Compiled 1 080 to 211 computations (80.5% saved)

prune4.0ms (0.2%)

Memory
13.9MiB live, 13.9MiB 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
▶56.1%
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64))
▶47.0%
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))
Compiler

Compiled 4 to 6 computations (-50% saved)

simplify29.0ms (1.1%)

Memory
-19.0MiB live, 19.2MiB 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)

localize59.0ms (2.3%)

Memory
16.6MiB live, 62.2MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy28.093750000000004
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64))
accuracy33.90625000000001
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))
Samples
42.0ms116×2valid
11.0ms140×0valid
Compiler

Compiled 28 to 12 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-sqrt: 27.0ms (59.4% of total)
ival-div: 5.0ms (11% of total)
ival-mult: 5.0ms (11% of total)
ival-sub: 5.0ms (11% of total)
adjust: 3.0ms (6.6% 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
1.9MiB live, 1.9MiB 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
4.2MiB live, 4.2MiB 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)

rewrite117.0ms (4.6%)

Memory
-16.9MiB live, 57.9MiB 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
5.5MiB live, 5.5MiB allocated
Compiler

Compiled 52 to 5 computations (90.4% saved)

prune3.0ms (0.1%)

Memory
7.1MiB live, 7.1MiB 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
✓56.1%
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64))
✓47.0%
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))
Compiler

Compiled 20 to 18 computations (10% saved)

regimes78.0ms (3%)

Memory
-5.4MiB live, 31.7MiB 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:

74.0ms
x
3.0ms
(-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))))
Results
AccuracySegmentsBranch
100.0%2x
89.4%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)

regimes5.0ms (0.2%)

Memory
18.4MiB live, 18.4MiB 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:

3.0ms
x
2.0ms
(-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))))
Results
AccuracySegmentsBranch
47.0%1(-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))))
47.0%1x
Compiler

Compiled 13 to 9 computations (30.8% saved)

bsearch30.0ms (1.2%)

Memory
-24.8MiB live, 51.4MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
28.0ms
-1.1110343752759026e-307
1.4149060871502373e-306
Samples
16.0ms80×2valid
3.0ms48×0valid
Compiler

Compiled 47 to 76 computations (-61.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 8.0ms (52.1% of total)
ival-div: 3.0ms (19.5% of total)
adjust: 2.0ms (13% of total)
ival-sub: 1.0ms (6.5% of total)
ival-sqrt: 1.0ms (6.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify22.0ms (0.8%)

Memory
33.2MiB live, 69.9MiB 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 -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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 -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 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))

soundness6.0ms (0.2%)

Memory
-25.4MiB live, 11.8MiB 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)

preprocess54.0ms (2.1%)

Memory
9.4MiB live, 96.9MiB allocated
Compiler

Compiled 56 to 42 computations (25% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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