sqrt sqr

Time bar (total: 2.1s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze2.0ms (0.1%)

Memory
2.6MiB live, 2.6MiB 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)

sample1.5s (69.1%)

Memory
64.2MiB live, 1 552.1MiB allocated
Samples
800.0ms4 183×2valid
289.0ms4 073×0valid
Precisions
Click to see histograms. Total time spent on operations: 875.0ms
ival-sqrt: 230.0ms (26.3% of total)
ival-mult: 228.0ms (26.1% of total)
ival-div: 212.0ms (24.2% of total)
adjust: 98.0ms (11.2% of total)
ival-sub: 92.0ms (10.5% of total)
ival-true: 6.0ms (0.7% of total)
exact: 5.0ms (0.6% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain206.0ms (9.7%)

Memory
-22.3MiB live, 209.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1290-1(2.0257951008472532e-156)(sqrt.f64 (*.f64 x x))
00-0-(/.f64 #s(literal 1 binary64) x)
00-0-#s(literal 1 binary64)
098(2.813642262852327e+293)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))))cancellation980
sqrt.f64(sqrt.f64 (*.f64 x x))oflow-rescue660
↳(*.f64 x x)overflow66
sqrt.f64(sqrt.f64 (*.f64 x x))uflow-rescue620
↳(*.f64 x x)underflow62
Confusion
Predicted +Predicted -
+1460
-4565
Precision
0.7643979057591623
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+14600
-45065
Precision?
0.7643979057591623
Recall?
1.0
Freqs
test
numberfreq
065
1156
235
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
79.0ms254×2valid
17.0ms258×0valid
Compiler

Compiled 156 to 50 computations (67.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-div: 14.0ms (31.3% of total)
ival-mult: 11.0ms (24.6% of total)
ival-sqrt: 7.0ms (15.7% of total)
adjust: 6.0ms (13.4% of total)
ival-sub: 5.0ms (11.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess54.0ms (2.5%)

Memory
0.7MiB live, 37.6MiB allocated
Algorithm
1×egg-herbie
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
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶46.6%
(-.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)

simplify13.0ms (0.6%)

Memory
9.8MiB live, 9.8MiB 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))
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 (3.2%)

Memory
-22.0MiB live, 30.7MiB 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)
accuracy0.1796875
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x)))
accuracy29.81787557430484
(sqrt.f64 (*.f64 x x))
Samples
20.0ms127×2valid
8.0ms129×0valid
Compiler

Compiled 72 to 18 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-div: 6.0ms (31.5% of total)
ival-mult: 5.0ms (26.3% of total)
adjust: 3.0ms (15.8% of total)
ival-sqrt: 3.0ms (15.8% of total)
ival-sub: 2.0ms (10.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series2.0ms (0.1%)

Memory
2.1MiB live, 2.1MiB allocated
Counts
5 → 7
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
x
1
0
(pow x 2)
(* -1 x)
-1
2
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))

simplify3.0ms (0.1%)

Memory
1.6MiB live, 1.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11110
21210
31310
41510
51710
62110
73010
83310
03310
Stop Event
1×iter limit
1×saturated
Counts
7 → 6
Calls
Call 1
Inputs
x
1
0
(pow x 2)
(* -1 x)
-1
2
Outputs
x
1
#s(literal 1 binary64)
0
#s(literal 0 binary64)
(pow x 2)
(*.f64 x x)
(* -1 x)
(neg.f64 x)
-1
#s(literal -1 binary64)
2
#s(literal 2 binary64)

rewrite56.0ms (2.6%)

Memory
33.3MiB live, 68.2MiB allocated
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 (0.6%)

Memory
-18.5MiB live, 16.2MiB allocated
Compiler

Compiled 734 to 215 computations (70.7% saved)

prune2.0ms (0.1%)

Memory
4.5MiB live, 4.5MiB allocated
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New54256
Fresh000
Picked101
Done000
Total55257
Accuracy
100.0%
Counts
57 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶51.9%
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64))
▶51.2%
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))
Compiler

Compiled 28 to 20 computations (28.6% saved)

simplify30.0ms (1.4%)

Memory
-11.9MiB live, 26.0MiB 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))
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)

localize40.0ms (1.9%)

Memory
2.2MiB live, 53.3MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy30.757812500000004
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64))
accuracy31.242187500000004
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))
Samples
23.0ms127×2valid
10.0ms129×0valid
Compiler

Compiled 58 to 24 computations (58.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-div: 8.0ms (31.5% of total)
adjust: 7.0ms (27.5% of total)
ival-mult: 5.0ms (19.7% of total)
ival-sqrt: 3.0ms (11.8% of total)
ival-sub: 2.0ms (7.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
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
0
2
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
4.1MiB live, 4.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022
022
Stop Event
1×saturated
1×saturated
Counts
2 → 2
Calls
Call 1
Inputs
0
2
Outputs
0
#s(literal 0 binary64)
2
#s(literal 2 binary64)

rewrite46.0ms (2.1%)

Memory
8.1MiB live, 81.5MiB allocated
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))

eval0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Compiler

Compiled 28 to 12 computations (57.1% saved)

prune1.0ms (0.1%)

Memory
4.1MiB live, 4.1MiB allocated
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New202
Fresh000
Picked022
Done000
Total224
Accuracy
100.0%
Counts
4 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓51.9%
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 2 binary64))
✓51.2%
#s(approx (- (/ x x) (* (/ 1 x) (sqrt (* x x)))) #s(literal 0 binary64))
Compiler

Compiled 68 to 39 computations (42.6% saved)

regimes4.0ms (0.2%)

Memory
11.3MiB live, 11.3MiB 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
89.0%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 (0.3%)

Memory
-27.0MiB live, 11.0MiB 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:

4.0ms
x
1.0ms
(-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))))
Results
AccuracySegmentsBranch
51.2%1(-.f64 (/.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (*.f64 x x))))
51.2%1x
Compiler

Compiled 13 to 9 computations (30.8% saved)

bsearch35.0ms (1.6%)

Memory
7.7MiB live, 90.7MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
32.0ms
-2.881804877621388e-304
2.7217155229819564e-302
Samples
16.0ms96×2valid
6.0ms64×0valid
Compiler

Compiled 295 to 232 computations (21.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-div: 8.0ms (47.4% of total)
ival-mult: 3.0ms (17.8% of total)
adjust: 2.0ms (11.8% of total)
ival-sub: 2.0ms (11.8% of total)
ival-sqrt: 1.0ms (5.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify27.0ms (1.3%)

Memory
-6.5MiB live, 69.3MiB allocated
Algorithm
1×egg-herbie
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))

soundness4.0ms (0.2%)

Memory
7.5MiB live, 7.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11110
21210
31310
41510
51710
62110
73010
83310
03310
Stop Event
1×done
1×iter limit
1×saturated
Compiler

Compiled 49 to 21 computations (57.1% saved)

preprocess42.0ms (2%)

Memory
-9.0MiB live, 36.5MiB allocated
Compiler

Compiled 128 to 56 computations (56.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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