sqrt B (should all be same)

Time bar (total: 1.3s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
100%100%0%0%0%0%0%2
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample821.0ms (62.1%)

Memory
5.9MiB live, 702.4MiB allocated
Samples
608.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 419.0ms
ival-mult: 351.0ms (83.8% of total)
ival-sqrt: 52.0ms (12.4% of total)
ival-true: 5.0ms (1.2% of total)
exact: 5.0ms (1.2% of total)
ival-assert: 3.0ms (0.7% of total)
adjust: 2.0ms (0.5% of total)
Bogosity

explain79.0ms (5.9%)

Memory
5.2MiB live, 61.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1260-3(1.9267796176118616e-157)(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x))
00-0-#s(literal 2 binary64)
00-0-(*.f64 (*.f64 #s(literal 2 binary64) x) x)
00-0-(*.f64 #s(literal 2 binary64) x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x))oflow-rescue640
↳(*.f64 (*.f64 #s(literal 2 binary64) x) x)overflow64
sqrt.f64(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x))uflow-rescue590
↳(*.f64 (*.f64 #s(literal 2 binary64) x) x)underflow59
Confusion
Predicted +Predicted -
+1233
-0130
Precision
1.0
Recall
0.9761904761904762
Confusion?
Predicted +Predicted MaybePredicted -
+12303
-00130
Precision?
1.0
Recall?
0.9761904761904762
Freqs
test
numberfreq
0133
1123
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
49.0ms512×0valid
Compiler

Compiled 42 to 19 computations (54.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-mult: 34.0ms (88.3% of total)
ival-sqrt: 3.0ms (7.8% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess20.0ms (1.5%)

Memory
-15.7MiB live, 30.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
11813
24913
310213
414713
523513
625513
727513
056
086
1156
2236
3546
41206
51846
62206
72406
82606
02603
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x))
Outputs
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x))
(hypot.f64 x x)
Symmetry

(abs x)

Compiler

Compiled 6 to 5 computations (16.7% 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
▶54.9%
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x))
Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify7.0ms (0.5%)

Memory
10.4MiB live, 10.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 2 binary64) x)
cost-diff0
(*.f64 (*.f64 #s(literal 2 binary64) x) x)
cost-diff3
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0516
0816
11516
22316
35416
412016
518416
622016
724016
826016
026013
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x))
(*.f64 (*.f64 #s(literal 2 binary64) x) x)
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
Outputs
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x))
(hypot.f64 x x)
(*.f64 (*.f64 #s(literal 2 binary64) x) x)
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
x

localize17.0ms (1.3%)

Memory
-9.5MiB live, 36.9MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 (*.f64 #s(literal 2 binary64) x) x)
accuracy0.0
(*.f64 #s(literal 2 binary64) x)
accuracy28.88060685656069
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x))
Samples
11.0ms256×0valid
Compiler

Compiled 18 to 7 computations (61.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 4.0ms (66% of total)
ival-sqrt: 2.0ms (33% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.3%)

Memory
8.5MiB live, 8.5MiB allocated
Counts
3 → 4
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x))
(*.f64 (*.f64 #s(literal 2 binary64) x) x)
(*.f64 #s(literal 2 binary64) x)
Outputs
(* x (sqrt 2))
(* 2 (pow x 2))
(* 2 x)
(* -1 (* x (sqrt 2)))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
((sqrt (* (* 2 x) x)) (* (* 2 x) x) (* 2 x))
1.0ms
x
@inf
((sqrt (* (* 2 x) x)) (* (* 2 x) x) (* 2 x))
1.0ms
x
@-inf
((sqrt (* (* 2 x) x)) (* (* 2 x) x) (* 2 x))

simplify8.0ms (0.6%)

Memory
15.1MiB live, 15.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
12117
24217
39017
422817
543917
650217
050217
Stop Event
1×iter limit
1×saturated
Counts
4 → 4
Calls
Call 1
Inputs
(* x (sqrt 2))
(* 2 (pow x 2))
(* 2 x)
(* -1 (* x (sqrt 2)))
Outputs
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* 2 (pow x 2))
(*.f64 (*.f64 #s(literal 2 binary64) x) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))

rewrite56.0ms (4.3%)

Memory
-6.2MiB live, 39.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0514
0812
12012
25710
02809
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×iter limit
Counts
3 → 109
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x))
(*.f64 (*.f64 #s(literal 2 binary64) x) x)
(*.f64 #s(literal 2 binary64) x)
Outputs
(*.f64 (neg.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (hypot.f64 x x) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (hypot.f64 x x))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(pow.f64 (exp.f64 (log.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 #s(literal 0 binary64)) (sqrt.f64 #s(literal 0 binary64)))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 0 binary64))))
(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 (fabs.f64 x)))
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))
(hypot.f64 (neg.f64 (neg.f64 x)) (fabs.f64 x))
(hypot.f64 (neg.f64 (neg.f64 x)) x)
(hypot.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (neg.f64 x)))
(hypot.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(hypot.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x))
(hypot.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x))
(hypot.f64 (neg.f64 (fabs.f64 x)) x)
(hypot.f64 (neg.f64 x) (neg.f64 (neg.f64 x)))
(hypot.f64 (neg.f64 x) (neg.f64 (fabs.f64 x)))
(hypot.f64 (neg.f64 x) (neg.f64 x))
(hypot.f64 (neg.f64 x) (fabs.f64 x))
(hypot.f64 (neg.f64 x) x)
(hypot.f64 (fabs.f64 x) (neg.f64 (neg.f64 x)))
(hypot.f64 (fabs.f64 x) (neg.f64 (fabs.f64 x)))
(hypot.f64 (fabs.f64 x) (neg.f64 x))
(hypot.f64 (fabs.f64 x) (fabs.f64 x))
(hypot.f64 (fabs.f64 x) x)
(hypot.f64 x (neg.f64 (neg.f64 x)))
(hypot.f64 x (neg.f64 (fabs.f64 x)))
(hypot.f64 x (neg.f64 x))
(hypot.f64 x (fabs.f64 x))
(hypot.f64 x x)
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(*.f64 (neg.f64 x) (+.f64 (neg.f64 x) (neg.f64 x)))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 2 binary64)))
(*.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) (fabs.f64 x)))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(*.f64 #s(literal 2 binary64) x)
(/.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) x) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 0 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (pow.f64 (*.f64 x x) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 x x))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 x x))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 x x))
(fma.f64 x x (*.f64 x x))
(-.f64 (/.f64 (*.f64 x x) #s(literal 0 binary64)) (/.f64 (*.f64 x x) #s(literal 0 binary64)))
(-.f64 (*.f64 x x) (*.f64 x (neg.f64 x)))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 x) x))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(+.f64 (*.f64 x x) (*.f64 x x))
(+.f64 x x)
(*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(*.f64 (neg.f64 x) (+.f64 (neg.f64 x) (neg.f64 x)))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 2 binary64)))
(*.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) (fabs.f64 x)))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(*.f64 #s(literal 2 binary64) x)
(/.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) x) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 0 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (pow.f64 (*.f64 x x) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 x x))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 x x))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 x x))
(fma.f64 x x (*.f64 x x))
(-.f64 (/.f64 (*.f64 x x) #s(literal 0 binary64)) (/.f64 (*.f64 x x) #s(literal 0 binary64)))
(-.f64 (*.f64 x x) (*.f64 x (neg.f64 x)))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 x) x))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(+.f64 (*.f64 x x) (*.f64 x x))
(+.f64 x x)

eval8.0ms (0.6%)

Memory
8.7MiB live, 8.7MiB allocated
Compiler

Compiled 644 to 172 computations (73.3% saved)

prune2.0ms (0.2%)

Memory
4.5MiB live, 4.5MiB allocated
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New77380
Fresh000
Picked011
Done000
Total77481
Accuracy
100.0%
Counts
81 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(hypot.f64 x x)
▶6.8%
(sqrt.f64 (+.f64 x x))
✓54.9%
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x))
▶99.3%
#s(approx (sqrt (* (* 2 x) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
Compiler

Compiled 24 to 19 computations (20.8% saved)

simplify7.0ms (0.5%)

Memory
3.1MiB live, 3.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
cost-diff0
(hypot.f64 x x)
cost-diff0
(+.f64 x x)
cost-diff0
(sqrt.f64 (+.f64 x x))
cost-diff0
(sqrt.f64 #s(literal 2 binary64))
cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
cost-diff0
#s(approx (sqrt (* (* 2 x) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01131
01828
13128
26628
313728
421428
525428
627928
729928
029928
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (sqrt (* (* 2 x) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
x
(sqrt.f64 (+.f64 x x))
(+.f64 x x)
x
(hypot.f64 x x)
x
Outputs
#s(approx (sqrt (* (* 2 x) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
x
(sqrt.f64 (+.f64 x x))
(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
(+.f64 x x)
(*.f64 x #s(literal 2 binary64))
x
(hypot.f64 x x)
x

localize45.0ms (3.4%)

Memory
-30.9MiB live, 20.3MiB allocated
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(hypot.f64 x x)
accuracy0.0
(+.f64 x x)
accuracy0.0
(sqrt.f64 (+.f64 x x))
accuracy0.0
(sqrt.f64 #s(literal 2 binary64))
accuracy0.0
#s(approx (sqrt (* (* 2 x) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
accuracy0.44140625
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
Samples
38.0ms256×0valid
Compiler

Compiled 33 to 12 computations (63.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-mult: 21.0ms (67.8% of total)
ival-sqrt: 4.0ms (12.9% of total)
ival-hypot: 4.0ms (12.9% of total)
ival-add: 1.0ms (3.2% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.3%)

Memory
3.2MiB live, 3.2MiB allocated
Counts
6 → 5
Calls
Call 1
Inputs
#s(approx (sqrt (* (* 2 x) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
(sqrt.f64 (+.f64 x x))
(+.f64 x x)
(hypot.f64 x x)
Outputs
(* x (sqrt 2))
(* (sqrt x) (sqrt 2))
(* 2 x)
(* -1 (* x (sqrt 2)))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
((sqrt (* (* 2 x) x)) (* (sqrt 2) x) (sqrt 2) (sqrt (+ x x)) (+ x x) (sqrt (+ (* x x) (* x x))))
1.0ms
x
@inf
((sqrt (* (* 2 x) x)) (* (sqrt 2) x) (sqrt 2) (sqrt (+ x x)) (+ x x) (sqrt (+ (* x x) (* x x))))
1.0ms
x
@0
((sqrt (* (* 2 x) x)) (* (sqrt 2) x) (sqrt 2) (sqrt (+ x x)) (+ x x) (sqrt (+ (* x x) (* x x))))

simplify4.0ms (0.3%)

Memory
2.0MiB live, 2.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01526
13326
27826
313026
413726
013726
Stop Event
1×iter limit
1×saturated
Counts
5 → 5
Calls
Call 1
Inputs
(* x (sqrt 2))
(* (sqrt x) (sqrt 2))
(* 2 x)
(* -1 (* x (sqrt 2)))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
Outputs
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -2 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)))

rewrite39.0ms (2.9%)

Memory
-12.6MiB live, 31.2MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01127
01825
15523
034123
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×iter limit
Counts
6 → 176
Calls
Call 1
Inputs
#s(approx (sqrt (* (* 2 x) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
(sqrt.f64 (+.f64 x x))
(+.f64 x x)
(hypot.f64 x x)
Outputs
#s(approx (sqrt (* (* 2 x) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 x) (hypot.f64 x x))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (hypot.f64 x x) (sqrt.f64 x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (sqrt.f64 #s(literal 0 binary64)) (sqrt.f64 #s(literal 0 binary64)))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 0 binary64))))
(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
(hypot.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(hypot.f64 (pow.f64 x #s(literal 1 binary64)) (neg.f64 (neg.f64 x)))
(hypot.f64 (pow.f64 x #s(literal 1 binary64)) (neg.f64 (fabs.f64 x)))
(hypot.f64 (pow.f64 x #s(literal 1 binary64)) (fabs.f64 (fabs.f64 x)))
(hypot.f64 (pow.f64 x #s(literal 1 binary64)) (neg.f64 x))
(hypot.f64 (pow.f64 x #s(literal 1 binary64)) (fabs.f64 x))
(hypot.f64 (pow.f64 x #s(literal 1 binary64)) x)
(hypot.f64 (neg.f64 (neg.f64 x)) (pow.f64 x #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 (fabs.f64 x)))
(hypot.f64 (neg.f64 (neg.f64 x)) (fabs.f64 (fabs.f64 x)))
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))
(hypot.f64 (neg.f64 (neg.f64 x)) (fabs.f64 x))
(hypot.f64 (neg.f64 (neg.f64 x)) x)
(hypot.f64 (neg.f64 (fabs.f64 x)) (pow.f64 x #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (neg.f64 x)))
(hypot.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(hypot.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(hypot.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x))
(hypot.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x))
(hypot.f64 (neg.f64 (fabs.f64 x)) x)
(hypot.f64 (fabs.f64 (fabs.f64 x)) (pow.f64 x #s(literal 1 binary64)))
(hypot.f64 (fabs.f64 (fabs.f64 x)) (neg.f64 (neg.f64 x)))
(hypot.f64 (fabs.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(hypot.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(hypot.f64 (fabs.f64 (fabs.f64 x)) (neg.f64 x))
(hypot.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 x))
(hypot.f64 (fabs.f64 (fabs.f64 x)) x)
(hypot.f64 (neg.f64 x) (pow.f64 x #s(literal 1 binary64)))
(hypot.f64 (neg.f64 x) (neg.f64 (neg.f64 x)))
(hypot.f64 (neg.f64 x) (neg.f64 (fabs.f64 x)))
(hypot.f64 (neg.f64 x) (fabs.f64 (fabs.f64 x)))
(hypot.f64 (neg.f64 x) (neg.f64 x))
(hypot.f64 (neg.f64 x) (fabs.f64 x))
(hypot.f64 (neg.f64 x) x)
(hypot.f64 (fabs.f64 x) (pow.f64 x #s(literal 1 binary64)))
(hypot.f64 (fabs.f64 x) (neg.f64 (neg.f64 x)))
(hypot.f64 (fabs.f64 x) (neg.f64 (fabs.f64 x)))
(hypot.f64 (fabs.f64 x) (fabs.f64 (fabs.f64 x)))
(hypot.f64 (fabs.f64 x) (neg.f64 x))
(hypot.f64 (fabs.f64 x) (fabs.f64 x))
(hypot.f64 (fabs.f64 x) x)
(hypot.f64 x (pow.f64 x #s(literal 1 binary64)))
(hypot.f64 x (neg.f64 (neg.f64 x)))
(hypot.f64 x (neg.f64 (fabs.f64 x)))
(hypot.f64 x (fabs.f64 (fabs.f64 x)))
(hypot.f64 x (neg.f64 x))
(hypot.f64 x (fabs.f64 x))
(hypot.f64 x x)
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (neg.f64 x) (+.f64 (neg.f64 x) (neg.f64 x)))
(*.f64 (neg.f64 x) (-.f64 (neg.f64 x) x))
(*.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) (fabs.f64 x)))
(*.f64 (*.f64 x #s(literal 2 binary64)) x)
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(*.f64 x (-.f64 x (neg.f64 x)))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(*.f64 #s(literal 2 binary64) x)
(/.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) x) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x)))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 x x))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 x x))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 x x))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 x x))
(fma.f64 x x (*.f64 (neg.f64 (neg.f64 x)) x))
(fma.f64 x x (*.f64 x x))
(-.f64 (/.f64 (*.f64 x x) #s(literal 0 binary64)) (/.f64 (*.f64 x x) #s(literal 0 binary64)))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 x) x))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 x)) x))
(+.f64 (*.f64 x x) (*.f64 x x))
(+.f64 x x)
(*.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 x) (hypot.f64 x x))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (hypot.f64 x x) (sqrt.f64 x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (sqrt.f64 #s(literal 0 binary64)) (sqrt.f64 #s(literal 0 binary64)))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 0 binary64))))
(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
(hypot.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(hypot.f64 (pow.f64 x #s(literal 1 binary64)) (neg.f64 (neg.f64 x)))
(hypot.f64 (pow.f64 x #s(literal 1 binary64)) (neg.f64 (fabs.f64 x)))
(hypot.f64 (pow.f64 x #s(literal 1 binary64)) (fabs.f64 (fabs.f64 x)))
(hypot.f64 (pow.f64 x #s(literal 1 binary64)) (neg.f64 x))
(hypot.f64 (pow.f64 x #s(literal 1 binary64)) (fabs.f64 x))
(hypot.f64 (pow.f64 x #s(literal 1 binary64)) x)
(hypot.f64 (neg.f64 (neg.f64 x)) (pow.f64 x #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 (fabs.f64 x)))
(hypot.f64 (neg.f64 (neg.f64 x)) (fabs.f64 (fabs.f64 x)))
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))
(hypot.f64 (neg.f64 (neg.f64 x)) (fabs.f64 x))
(hypot.f64 (neg.f64 (neg.f64 x)) x)
(hypot.f64 (neg.f64 (fabs.f64 x)) (pow.f64 x #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (neg.f64 x)))
(hypot.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(hypot.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(hypot.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x))
(hypot.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x))
(hypot.f64 (neg.f64 (fabs.f64 x)) x)
(hypot.f64 (fabs.f64 (fabs.f64 x)) (pow.f64 x #s(literal 1 binary64)))
(hypot.f64 (fabs.f64 (fabs.f64 x)) (neg.f64 (neg.f64 x)))
(hypot.f64 (fabs.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(hypot.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(hypot.f64 (fabs.f64 (fabs.f64 x)) (neg.f64 x))
(hypot.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 x))
(hypot.f64 (fabs.f64 (fabs.f64 x)) x)
(hypot.f64 (neg.f64 x) (pow.f64 x #s(literal 1 binary64)))
(hypot.f64 (neg.f64 x) (neg.f64 (neg.f64 x)))
(hypot.f64 (neg.f64 x) (neg.f64 (fabs.f64 x)))
(hypot.f64 (neg.f64 x) (fabs.f64 (fabs.f64 x)))
(hypot.f64 (neg.f64 x) (neg.f64 x))
(hypot.f64 (neg.f64 x) (fabs.f64 x))
(hypot.f64 (neg.f64 x) x)
(hypot.f64 (fabs.f64 x) (pow.f64 x #s(literal 1 binary64)))
(hypot.f64 (fabs.f64 x) (neg.f64 (neg.f64 x)))
(hypot.f64 (fabs.f64 x) (neg.f64 (fabs.f64 x)))
(hypot.f64 (fabs.f64 x) (fabs.f64 (fabs.f64 x)))
(hypot.f64 (fabs.f64 x) (neg.f64 x))
(hypot.f64 (fabs.f64 x) (fabs.f64 x))
(hypot.f64 (fabs.f64 x) x)
(hypot.f64 x (pow.f64 x #s(literal 1 binary64)))
(hypot.f64 x (neg.f64 (neg.f64 x)))
(hypot.f64 x (neg.f64 (fabs.f64 x)))
(hypot.f64 x (fabs.f64 (fabs.f64 x)))
(hypot.f64 x (neg.f64 x))
(hypot.f64 x (fabs.f64 x))
(hypot.f64 x x)
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))

eval12.0ms (0.9%)

Memory
25.5MiB live, 25.5MiB allocated
Compiler

Compiled 971 to 246 computations (74.7% saved)

prune4.0ms (0.3%)

Memory
11.7MiB live, 11.7MiB allocated
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1180118
Fresh000
Picked033
Done011
Total1184122
Accuracy
100.0%
Counts
122 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(hypot.f64 x x)
✓6.8%
(sqrt.f64 (+.f64 x x))
✓54.9%
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x))
✓99.3%
#s(approx (sqrt (* (* 2 x) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
Compiler

Compiled 48 to 34 computations (29.2% saved)

regimes8.0ms (0.6%)

Memory
-28.8MiB live, 15.0MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 x x))
#s(approx (sqrt (* (* 2 x) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x))
(hypot.f64 x x)
Outputs
(hypot.f64 x x)
Calls

3 calls:

5.0ms
x
2.0ms
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x))
2.0ms
(*.f64 (*.f64 #s(literal 2 binary64) x) x)
Results
AccuracySegmentsBranch
100.0%1(*.f64 (*.f64 #s(literal 2 binary64) x) x)
100.0%1(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x))
100.0%1x
Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes5.0ms (0.3%)

Memory
13.7MiB live, 13.7MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 x x))
#s(approx (sqrt (* (* 2 x) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x))
Outputs
#s(approx (sqrt (* (* 2 x) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
Calls

3 calls:

2.0ms
x
1.0ms
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x))
1.0ms
(*.f64 (*.f64 #s(literal 2 binary64) x) x)
Results
AccuracySegmentsBranch
99.3%1(*.f64 (*.f64 #s(literal 2 binary64) x) x)
99.3%1(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x))
99.3%1x
Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes3.0ms (0.2%)

Memory
10.1MiB live, 10.1MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 x x))
Outputs
(sqrt.f64 (+.f64 x x))
Calls

3 calls:

1.0ms
x
1.0ms
(*.f64 (*.f64 #s(literal 2 binary64) x) x)
1.0ms
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x))
Results
AccuracySegmentsBranch
6.8%1(*.f64 (*.f64 #s(literal 2 binary64) x) x)
6.8%1(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x))
6.8%1x
Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify41.0ms (3.1%)

Memory
9.9MiB live, 56.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01118
11818
22618
36018
413718
522318
642118
7207718
8374918
Stop Event
1×node limit
Calls
Call 1
Inputs
(hypot.f64 x x)
#s(approx (sqrt (* (* 2 x) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(sqrt.f64 (+.f64 x x))
Outputs
(hypot.f64 x x)
#s(approx (sqrt (* (* 2 x) x)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(sqrt.f64 (+.f64 x x))

derivations86.0ms (6.5%)

Memory
-35.8MiB live, 48.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
12117
24217
39017
422817
543917
650217
050217
0514
0812
12012
25710
02809
Stop Event
1×done
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×iter limit
1×iter limit
1×saturated
Compiler

Compiled 18 to 12 computations (33.3% saved)

preprocess43.0ms (3.2%)

Memory
0.1MiB live, 47.8MiB allocated
Remove

(abs x)

Compiler

Compiled 54 to 38 computations (29.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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