sqrt A (should all be same)

Time bar (total: 2.3s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 10 to 4 computations (60% saved)

sample602.0ms (26.3%)

Memory
2.4MiB live, 621.6MiB allocated; 138ms collecting garbage
Samples
385.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 158.0ms
ival-hypot: 146.0ms (92.5% of total)
ival-true: 6.0ms (3.8% of total)
ival-assert: 3.0ms (1.9% of total)
adjust: 2.0ms (1.3% of total)
Bogosity

explain67.0ms (2.9%)

Memory
35.7MiB live, 81.9MiB allocated; 6ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1340-2(-2.4176777463917372e-157)(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
00-0-(+.f64 (*.f64 x x) (*.f64 x x))
00-0-(*.f64 x x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))uflow-rescue710
↳(+.f64 (*.f64 x x) (*.f64 x x))underflow71
↳(*.f64 x x)underflow142
sqrt.f64(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))oflow-rescue610
↳(+.f64 (*.f64 x x) (*.f64 x x))overflow61
↳(*.f64 x x)overflow122
Confusion
Predicted +Predicted -
+1322
-0122
Precision
1.0
Recall
0.9850746268656716
Confusion?
Predicted +Predicted MaybePredicted -
+13202
-00122
Precision?
1.0
Recall?
0.9850746268656716
Freqs
test
numberfreq
0124
1132
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
29.0ms512×0valid
Compiler

Compiled 50 to 16 computations (68% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-hypot: 11.0ms (61.5% of total)
ival-mult: 4.0ms (22.4% of total)
ival-add: 2.0ms (11.2% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess37.0ms (1.6%)

Memory
-20.2MiB live, 25.8MiB allocated; 7ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
12213
27813
313513
422713
525713
627713
048
076
1176
2546
31306
42026
52386
62616
72766
02763
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
Outputs
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
(hypot.f64 x x)
Symmetry

(abs x)

Compiler

Compiled 8 to 4 computations (50% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶51.7%
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
Compiler

Compiled 8 to 4 computations (50% saved)

simplify7.0ms (0.3%)

Memory
11.7MiB live, 11.7MiB allocated; 0ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff2
(+.f64 (*.f64 x x) (*.f64 x x))
cost-diff3
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0419
0715
11715
25415
313015
420215
523815
626115
727615
027612
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
(+.f64 (*.f64 x x) (*.f64 x x))
(*.f64 x x)
x
Outputs
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
(hypot.f64 x x)
(+.f64 (*.f64 x x) (*.f64 x x))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(*.f64 x x)
x

localize21.0ms (0.9%)

Memory
-6.4MiB live, 39.0MiB allocated; 4ms collecting garbage
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x x)
accuracy0.00390625
(+.f64 (*.f64 x x) (*.f64 x x))
accuracy30.89886741474288
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
Samples
16.0ms256×0valid
Compiler

Compiled 21 to 6 computations (71.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-hypot: 4.0ms (53.9% of total)
ival-mult: 2.0ms (26.9% of total)
ival-add: 1.0ms (13.5% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
6.5MiB live, 6.5MiB allocated; 0ms collecting garbage
Counts
3 → 4
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
(+.f64 (*.f64 x x) (*.f64 x x))
(*.f64 x x)
Outputs
(* x (sqrt 2))
(* 2 (pow x 2))
(pow x 2)
(* -1 (* x (sqrt 2)))
Calls

3 calls:

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

simplify9.0ms (0.4%)

Memory
18.3MiB live, 18.3MiB allocated; 0ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
11817
24317
39217
422817
543717
648517
048517
Stop Event
1×iter limit
1×saturated
Counts
4 → 4
Calls
Call 1
Inputs
(* x (sqrt 2))
(* 2 (pow x 2))
(pow x 2)
(* -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)
(pow x 2)
(*.f64 x x)
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))

rewrite46.0ms (2%)

Memory
-36.2MiB live, 62.7MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0418
0714
12910
02509
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×iter limit
Counts
3 → 107
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
(+.f64 (*.f64 x x) (*.f64 x x))
(*.f64 x x)
Outputs
(*.f64 (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 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 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))))
(sqrt.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 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 #s(literal 0 binary64) #s(literal 0 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 (*.f64 #s(literal 2 binary64) x) 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 #s(literal 2 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(*.f64 x (-.f64 x (neg.f64 x)))
(*.f64 x (*.f64 #s(literal 2 binary64) x))
(/.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 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 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 (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 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 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval12.0ms (0.5%)

Memory
23.5MiB live, 23.5MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 053 to 257 computations (75.6% saved)

prune4.0ms (0.2%)

Memory
9.6MiB live, 9.6MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1205125
Fresh000
Picked101
Done000
Total1215126
Accuracy
100.0%
Counts
126 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(hypot.f64 x x)
▶15.8%
(/.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)))))
▶99.4%
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))
▶51.7%
(sqrt.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)))
▶99.4%
#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
Compiler

Compiled 84 to 66 computations (21.4% saved)

simplify10.0ms (0.4%)

Memory
-38.5MiB live, 8.3MiB allocated; 2ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))
cost-diff0
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))))
cost-diff0
(/.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)))))
cost-diff2
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))
cost-diff0
(*.f64 #s(literal 2 binary64) x)
cost-diff0
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) #s(literal 2 binary64))
cost-diff3
(sqrt.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)))
cost-diff0
(sqrt.f64 #s(literal 2 binary64))
cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
cost-diff0
#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
cost-diff0
(hypot.f64 x x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026100
04391
16491
210391
317391
424991
528991
631791
733791
033791
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(hypot.f64 x x)
x
#s(approx (sqrt (+ (* x x) (* 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 (*.f64 x x) #s(literal 2 binary64)))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(*.f64 x x)
x
#s(literal 2 binary64)
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))
(sqrt.f64 x)
x
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 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)))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))
#s(literal 2 binary64)
(pow.f64 x #s(literal 6 binary64))
x
#s(literal 6 binary64)
(sqrt.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal 0 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
Outputs
(hypot.f64 x x)
x
#s(approx (sqrt (+ (* x x) (* 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 (*.f64 x x) #s(literal 2 binary64)))
(hypot.f64 x x)
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(*.f64 x x)
x
#s(literal 2 binary64)
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
(sqrt.f64 x)
x
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 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 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 x #s(literal 4 binary64))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 x #s(literal 6 binary64))
x
#s(literal 6 binary64)
(sqrt.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
#s(literal 0 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)

localize58.0ms (2.6%)

Memory
46.9MiB live, 92.4MiB allocated; 3ms collecting garbage
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))
accuracy10.646158601601941
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))))
accuracy14.237877350739494
(sqrt.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))))
accuracy40.767407732232634
(/.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)))))
accuracy0.0
(*.f64 #s(literal 2 binary64) x)
accuracy0.0
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
accuracy0.0
(sqrt.f64 x)
accuracy0.35775375976844204
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))
accuracy0.0
(*.f64 x x)
accuracy0.00390625
(*.f64 (*.f64 x x) #s(literal 2 binary64))
accuracy30.89886741474288
(sqrt.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)))
accuracy0.0
(sqrt.f64 #s(literal 2 binary64))
accuracy0.0
#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
accuracy0.4140625
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
accuracy0.0078125
(hypot.f64 x x)
Samples
45.0ms256×0valid
Compiler

Compiled 107 to 24 computations (77.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-sqrt: 9.0ms (28.2% of total)
ival-mult: 8.0ms (25% of total)
ival-hypot: 6.0ms (18.8% of total)
ival-pow: 5.0ms (15.7% of total)
ival-div: 1.0ms (3.1% of total)
ival-add: 1.0ms (3.1% of total)
exact: 1.0ms (3.1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series15.0ms (0.7%)

Memory
-24.7MiB live, 25.3MiB allocated; 7ms collecting garbage
Counts
16 → 14
Calls
Call 1
Inputs
(hypot.f64 x x)
#s(approx (sqrt (+ (* x x) (* 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 (*.f64 x x) #s(literal 2 binary64)))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))
(sqrt.f64 x)
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 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)))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))))
(*.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))))
Outputs
(* x (sqrt 2))
(* 2 (pow x 2))
(pow x 2)
(sqrt x)
(* (sqrt x) (sqrt 2))
(* 2 x)
(pow x 4)
(* (pow x 3) (sqrt 2))
(* 2 (pow x 6))
(* -1 (* x (sqrt 2)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* (pow x 3) (sqrt 2)))
Calls

3 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
((sqrt (+ (* x x) (* x x))) (sqrt (+ (* x x) (* x x))) (* (sqrt 2) x) (sqrt 2) (sqrt (* (* x x) 2)) (* (* x x) 2) (* x x) (* (sqrt x) (sqrt (* 2 x))) (sqrt x) (sqrt (* 2 x)) (* 2 x) (+ 0 (pow x 4)) (/ (sqrt (* 2 (pow x 6))) (sqrt (+ 0 (pow x 4)))) (sqrt (* 2 (pow x 6))) (* 2 (pow x 6)) (sqrt (+ 0 (pow x 4))))
4.0ms
x
@0
((sqrt (+ (* x x) (* x x))) (sqrt (+ (* x x) (* x x))) (* (sqrt 2) x) (sqrt 2) (sqrt (* (* x x) 2)) (* (* x x) 2) (* x x) (* (sqrt x) (sqrt (* 2 x))) (sqrt x) (sqrt (* 2 x)) (* 2 x) (+ 0 (pow x 4)) (/ (sqrt (* 2 (pow x 6))) (sqrt (+ 0 (pow x 4)))) (sqrt (* 2 (pow x 6))) (* 2 (pow x 6)) (sqrt (+ 0 (pow x 4))))
3.0ms
x
@inf
((sqrt (+ (* x x) (* x x))) (sqrt (+ (* x x) (* x x))) (* (sqrt 2) x) (sqrt 2) (sqrt (* (* x x) 2)) (* (* x x) 2) (* x x) (* (sqrt x) (sqrt (* 2 x))) (sqrt x) (sqrt (* 2 x)) (* 2 x) (+ 0 (pow x 4)) (/ (sqrt (* 2 (pow x 6))) (sqrt (+ 0 (pow x 4)))) (sqrt (* 2 (pow x 6))) (* 2 (pow x 6)) (sqrt (+ 0 (pow x 4))))

simplify251.0ms (11%)

Memory
12.4MiB live, 193.3MiB allocated; 45ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03167
17267
218467
340867
494267
5139267
6147867
7149567
8149567
9149567
10163167
11174667
12179267
13189267
14205667
15246767
16302767
17411467
18598667
19798867
0805267
Stop Event
1×iter limit
1×node limit
Counts
14 → 14
Calls
Call 1
Inputs
(* x (sqrt 2))
(* 2 (pow x 2))
(pow x 2)
(sqrt x)
(* (sqrt x) (sqrt 2))
(* 2 x)
(pow x 4)
(* (pow x 3) (sqrt 2))
(* 2 (pow x 6))
(* -1 (* x (sqrt 2)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* (pow x 3) (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)
(pow x 2)
(*.f64 x x)
(sqrt x)
(sqrt.f64 x)
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 3) (sqrt 2))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -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)))
(* -1 (* (pow x 3) (sqrt 2)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))

rewrite41.0ms (1.8%)

Memory
-11.3MiB live, 35.1MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02682
04360
111958
065958
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
16 → 394
Calls
Call 1
Inputs
(hypot.f64 x x)
#s(approx (sqrt (+ (* x x) (* 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 (*.f64 x x) #s(literal 2 binary64)))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))
(sqrt.f64 x)
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 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)))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))))
(*.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))))
Outputs
(*.f64 (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64)))
(*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 x x))
(/.f64 (sqrt.f64 #s(literal 0 binary64)) (sqrt.f64 #s(literal 0 binary64)))
(/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x x))
(neg.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x)))
(neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 x) x)))
(sqrt.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(hypot.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(hypot.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (neg.f64 (neg.f64 x)))
(hypot.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (neg.f64 (fabs.f64 x)))
(hypot.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (neg.f64 x))
(hypot.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fabs.f64 x))
(hypot.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) x)
(hypot.f64 (neg.f64 (neg.f64 x)) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 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)) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 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)) (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) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 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) (neg.f64 x))
(hypot.f64 (neg.f64 x) (fabs.f64 x))
(hypot.f64 (neg.f64 x) x)
(hypot.f64 (fabs.f64 x) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 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) (neg.f64 x))
(hypot.f64 (fabs.f64 x) (fabs.f64 x))
(hypot.f64 (fabs.f64 x) x)
(hypot.f64 x (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(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 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/2 binary64)))
#s(approx (sqrt (+ (* x x) (* 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 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64)))
(*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 x x))
(/.f64 (sqrt.f64 #s(literal 0 binary64)) (sqrt.f64 #s(literal 0 binary64)))
(/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x x))
(neg.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 x x)))
(neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 x) x)))
(sqrt.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(hypot.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(hypot.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (neg.f64 (neg.f64 x)))
(hypot.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (neg.f64 (fabs.f64 x)))
(hypot.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (neg.f64 x))
(hypot.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (fabs.f64 x))
(hypot.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) x)
(hypot.f64 (neg.f64 (neg.f64 x)) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 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)) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 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)) (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) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 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) (neg.f64 x))
(hypot.f64 (neg.f64 x) (fabs.f64 x))
(hypot.f64 (neg.f64 x) x)
(hypot.f64 (fabs.f64 x) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 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) (neg.f64 x))
(hypot.f64 (fabs.f64 x) (fabs.f64 x))
(hypot.f64 (fabs.f64 x) x)
(hypot.f64 x (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(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 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)) (neg.f64 (pow.f64 x #s(literal 8 binary64)))) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 12 binary64))) (pow.f64 x #s(literal 8 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 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 x 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 (neg.f64 x) (-.f64 (neg.f64 x) 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 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (*.f64 #s(literal 2 binary64) x) x)
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(*.f64 x (-.f64 x (neg.f64 x)))
(*.f64 x (*.f64 #s(literal 2 binary64) x))
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(hypot.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(hypot.f64 (pow.f64 (fabs.f64 x) #s(literal 3 binary64)) (pow.f64 (*.f64 x x) #s(literal 3/2 binary64)))
(hypot.f64 (pow.f64 (fabs.f64 x) #s(literal 3 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
(hypot.f64 (pow.f64 (fabs.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(hypot.f64 (pow.f64 (fabs.f64 x) #s(literal 3 binary64)) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))
(hypot.f64 (pow.f64 (fabs.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x x) #s(literal 3/2 binary64)))
(hypot.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
(hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))
(hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 12 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 12 binary64)))))
(fma.f64 (pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) (pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 6 binary64)))
(fma.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64)))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))
(fma.f64 (pow.f64 (fabs.f64 x) #s(literal 3 binary64)) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x) (pow.f64 x #s(literal 6 binary64)))
(fma.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64)))
(-.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (sqrt.f64 (neg.f64 (pow.f64 x #s(literal 8 binary64)))) (sqrt.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (sqrt.f64 (pow.f64 x #s(literal 12 binary64))) (sqrt.f64 (pow.f64 x #s(literal 8 binary64))))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 x x))
(exp.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)))

eval21.0ms (0.9%)

Memory
27.6MiB live, 27.6MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 863 to 631 computations (78% saved)

prune12.0ms (0.5%)

Memory
-33.6MiB live, 12.6MiB allocated; 3ms collecting garbage
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New2313234
Fresh000
Picked235
Done000
Total2336239
Accuracy
100.0%
Counts
239 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(hypot.f64 x x)
▶99.4%
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
▶16.8%
(sqrt.f64 (/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)) (*.f64 x x)) (*.f64 x x)))
✓51.7%
(sqrt.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)))
✓99.4%
#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
▶99.1%
#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) x))
Compiler

Compiled 59 to 40 computations (32.2% saved)

simplify198.0ms (8.7%)

Memory
20.2MiB live, 120.8MiB allocated; 33ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x x)
cost-diff0
(sqrt.f64 (+.f64 x x))
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
cost-diff0
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))
cost-diff0
(/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)) (*.f64 x x))
cost-diff0
(sqrt.f64 (/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)) (*.f64 x x)) (*.f64 x x)))
cost-diff4
(/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)) (*.f64 x x)) (*.f64 x x))
cost-diff0
(*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
cost-diff0
(*.f64 (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) x)
cost-diff0
#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) x))
cost-diff3
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022104
03696
16893
221089
380085
4204885
5459585
0848382
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) x))
(*.f64 (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) x)
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1/2 binary64)
x
(sqrt.f64 (/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)) (*.f64 x x)) (*.f64 x x)))
(/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)) (*.f64 x x)) (*.f64 x x))
(/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)) (*.f64 x x))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))
(pow.f64 x #s(literal 6 binary64))
x
#s(literal 6 binary64)
#s(literal 2 binary64)
(*.f64 x x)
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
(sqrt.f64 x)
x
(sqrt.f64 (+.f64 x x))
(+.f64 x x)
Outputs
#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) x))
#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) x)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(log.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal 1/2 binary64)
x
(sqrt.f64 (/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)) (*.f64 x x)) (*.f64 x x)))
(sqrt.f64 (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64))))
(/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)) (*.f64 x x)) (*.f64 x x))
(*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64)))
(/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)) (*.f64 x x))
(*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) x) x) #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))
(pow.f64 x #s(literal 6 binary64))
x
#s(literal 6 binary64)
#s(literal 2 binary64)
(*.f64 x x)
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
(sqrt.f64 x)
x
(sqrt.f64 (+.f64 x x))
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
(+.f64 x x)
(*.f64 #s(literal 2 binary64) x)

localize58.0ms (2.5%)

Memory
-0.6MiB live, 45.7MiB allocated; 4ms collecting garbage
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 x x)
accuracy0.0
(sqrt.f64 (+.f64 x x))
accuracy0.0
(sqrt.f64 x)
accuracy0.35775375976844204
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
accuracy0.0
(*.f64 x x)
accuracy30.89886741474288
(sqrt.f64 (/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)) (*.f64 x x)) (*.f64 x x)))
accuracy34.729891681710676
(/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)) (*.f64 x x))
accuracy43.96548132211597
(/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)) (*.f64 x x)) (*.f64 x x))
accuracy0.0
(log.f64 #s(literal 2 binary64))
accuracy0.0
#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) x))
accuracy0.4140625
(*.f64 (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) x)
accuracy1.0
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
Samples
45.0ms256×0valid
Compiler

Compiled 98 to 21 computations (78.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-mult: 7.0ms (24.4% of total)
ival-hypot: 5.0ms (17.4% of total)
ival-sqrt: 4.0ms (13.9% of total)
ival-div: 3.0ms (10.5% of total)
ival-log: 3.0ms (10.5% of total)
ival-pow: 3.0ms (10.5% of total)
ival-exp: 2.0ms (7% of total)
ival-add: 1.0ms (3.5% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series7.0ms (0.3%)

Memory
8.5MiB live, 8.5MiB allocated; 0ms collecting garbage
Counts
14 → 12
Calls
Call 1
Inputs
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) x))
(*.f64 (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) x)
(*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)) (*.f64 x x)) (*.f64 x x))
(sqrt.f64 (/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)) (*.f64 x x)) (*.f64 x x)))
(/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)) (*.f64 x x))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
(sqrt.f64 x)
(sqrt.f64 (+.f64 x x))
(+.f64 x x)
(log.f64 #s(literal 2 binary64))
(*.f64 x x)
Outputs
(* x (sqrt 2))
(* 2 (pow x 2))
(* 2 (pow x 4))
(* 2 (pow x 6))
(sqrt x)
(* (sqrt x) (sqrt 2))
(* 2 x)
(pow x 2)
(* -1 (* x (sqrt 2)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
((exp (* (log 2) 1/2)) (sqrt (+ (* x x) (* x x))) (* (exp (* (log 2) 1/2)) x) (* (log 2) 1/2) (/ (/ (* (pow x 6) 2) (* x x)) (* x x)) (sqrt (/ (/ (* (pow x 6) 2) (* x x)) (* x x))) (/ (* (pow x 6) 2) (* x x)) (* (pow x 6) 2) (* (sqrt x) (sqrt (+ x x))) (sqrt x) (sqrt (+ x x)) (+ x x) (log 2) (* x x))
2.0ms
x
@inf
((exp (* (log 2) 1/2)) (sqrt (+ (* x x) (* x x))) (* (exp (* (log 2) 1/2)) x) (* (log 2) 1/2) (/ (/ (* (pow x 6) 2) (* x x)) (* x x)) (sqrt (/ (/ (* (pow x 6) 2) (* x x)) (* x x))) (/ (* (pow x 6) 2) (* x x)) (* (pow x 6) 2) (* (sqrt x) (sqrt (+ x x))) (sqrt x) (sqrt (+ x x)) (+ x x) (log 2) (* x x))
2.0ms
x
@0
((exp (* (log 2) 1/2)) (sqrt (+ (* x x) (* x x))) (* (exp (* (log 2) 1/2)) x) (* (log 2) 1/2) (/ (/ (* (pow x 6) 2) (* x x)) (* x x)) (sqrt (/ (/ (* (pow x 6) 2) (* x x)) (* x x))) (/ (* (pow x 6) 2) (* x x)) (* (pow x 6) 2) (* (sqrt x) (sqrt (+ x x))) (sqrt x) (sqrt (+ x x)) (+ x x) (log 2) (* x x))

simplify308.0ms (13.4%)

Memory
-1.3MiB live, 138.0MiB allocated; 20ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02856
16456
215756
331956
464556
5100056
6107956
7110256
8110256
9126256
10131956
11131956
12134756
13156156
14189956
15226756
16271956
17359356
18497156
19708056
0800456
Stop Event
1×iter limit
1×node limit
Counts
12 → 12
Calls
Call 1
Inputs
(* x (sqrt 2))
(* 2 (pow x 2))
(* 2 (pow x 4))
(* 2 (pow x 6))
(sqrt x)
(* (sqrt x) (sqrt 2))
(* 2 x)
(pow x 2)
(* -1 (* x (sqrt 2)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
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 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))
(* 2 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))
(sqrt x)
(sqrt.f64 x)
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(pow x 2)
(*.f64 x x)
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -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)))

rewrite77.0ms (3.4%)

Memory
-16.9MiB live, 29.0MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02294
03683
110169
057666
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×iter limit
Counts
14 → 212
Calls
Call 1
Inputs
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) x))
(*.f64 (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) x)
(*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
(/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)) (*.f64 x x)) (*.f64 x x))
(sqrt.f64 (/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)) (*.f64 x x)) (*.f64 x x)))
(/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)) (*.f64 x x))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
(sqrt.f64 x)
(sqrt.f64 (+.f64 x x))
(+.f64 x x)
(log.f64 #s(literal 2 binary64))
(*.f64 x x)
Outputs
(*.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 (exp.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))))) (-.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (*.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))))))
(sqrt.f64 #s(literal 2 binary64))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))))
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eval19.0ms (0.8%)

Memory
24.0MiB live, 24.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 748 to 613 computations (77.7% saved)

prune5.0ms (0.2%)

Memory
10.7MiB live, 10.7MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New1981199
Fresh000
Picked123
Done033
Total1996205
Accuracy
100.0%
Counts
205 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(hypot.f64 x x)
▶20.4%
(/.f64 (/.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))) (fabs.f64 x)) (fabs.f64 x))
✓99.4%
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
✓51.7%
(sqrt.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)))
✓99.4%
#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
✓99.1%
#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) x))
Compiler

Compiled 57 to 40 computations (29.8% saved)

simplify28.0ms (1.2%)

Memory
-41.9MiB live, 4.6MiB allocated; 3ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))
cost-diff0
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)))
cost-diff0
(/.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))) (fabs.f64 x))
cost-diff2
(/.f64 (/.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))) (fabs.f64 x)) (fabs.f64 x))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0940
01540
12238
23238
35438
48338
59438
610438
711438
011438
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))) (fabs.f64 x))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))
(pow.f64 x #s(literal 6 binary64))
x
#s(literal 6 binary64)
#s(literal 2 binary64)
(fabs.f64 x)
Outputs
(/.f64 (/.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 x x))
(/.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))) (fabs.f64 x))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (fabs.f64 x))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))
(pow.f64 x #s(literal 6 binary64))
x
#s(literal 6 binary64)
#s(literal 2 binary64)
(fabs.f64 x)

localize25.0ms (1.1%)

Memory
21.9MiB live, 21.9MiB allocated; 0ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fabs.f64 x)
accuracy8.527035398704859
(/.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))) (fabs.f64 x))
accuracy10.646158601601941
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)))
accuracy30.994167327966306
(/.f64 (/.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))) (fabs.f64 x)) (fabs.f64 x))
Samples
18.0ms256×0valid
Compiler

Compiled 42 to 11 computations (73.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 3.0ms (26.9% of total)
ival-pow: 3.0ms (26.9% of total)
ival-mult: 2.0ms (18% of total)
ival-sqrt: 2.0ms (18% of total)
ival-fabs: 1.0ms (9% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series9.0ms (0.4%)

Memory
8.1MiB live, 8.1MiB allocated; 0ms collecting garbage
Counts
5 → 8
Calls
Call 1
Inputs
(/.f64 (/.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))) (fabs.f64 x))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))
(fabs.f64 x)
Outputs
(/ (* (pow x 3) (sqrt 2)) (pow (fabs x) 2))
(/ (* (pow x 3) (sqrt 2)) (fabs x))
(* (pow x 3) (sqrt 2))
(* 2 (pow x 6))
(fabs x)
(* -1 (/ (* (pow x 3) (sqrt 2)) (pow (fabs x) 2)))
(* -1 (/ (* (pow x 3) (sqrt 2)) (fabs x)))
(* -1 (* (pow x 3) (sqrt 2)))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@inf
((/ (/ (sqrt (* (pow x 6) 2)) (fabs x)) (fabs x)) (/ (sqrt (* (pow x 6) 2)) (fabs x)) (sqrt (* (pow x 6) 2)) (* (pow x 6) 2) (fabs x))
3.0ms
x
@-inf
((/ (/ (sqrt (* (pow x 6) 2)) (fabs x)) (fabs x)) (/ (sqrt (* (pow x 6) 2)) (fabs x)) (sqrt (* (pow x 6) 2)) (* (pow x 6) 2) (fabs x))
2.0ms
x
@0
((/ (/ (sqrt (* (pow x 6) 2)) (fabs x)) (fabs x)) (/ (sqrt (* (pow x 6) 2)) (fabs x)) (sqrt (* (pow x 6) 2)) (* (pow x 6) 2) (fabs x))

simplify75.0ms (3.3%)

Memory
-1.8MiB live, 43.5MiB allocated; 5ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01762
14160
212260
359248
4277644
5540844
6721844
0804544
Stop Event
1×iter limit
1×node limit
Counts
8 → 8
Calls
Call 1
Inputs
(/ (* (pow x 3) (sqrt 2)) (pow (fabs x) 2))
(/ (* (pow x 3) (sqrt 2)) (fabs x))
(* (pow x 3) (sqrt 2))
(* 2 (pow x 6))
(fabs x)
(* -1 (/ (* (pow x 3) (sqrt 2)) (pow (fabs x) 2)))
(* -1 (/ (* (pow x 3) (sqrt 2)) (fabs x)))
(* -1 (* (pow x 3) (sqrt 2)))
Outputs
(/ (* (pow x 3) (sqrt 2)) (pow (fabs x) 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(/ (* (pow x 3) (sqrt 2)) (fabs x))
(*.f64 (*.f64 (fabs.f64 x) x) (sqrt.f64 #s(literal 2 binary64)))
(* (pow x 3) (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* 2 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))
(fabs x)
(fabs.f64 x)
(* -1 (/ (* (pow x 3) (sqrt 2)) (pow (fabs x) 2)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) x)
(* -1 (/ (* (pow x 3) (sqrt 2)) (fabs x)))
(*.f64 (*.f64 (fabs.f64 x) x) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(* -1 (* (pow x 3) (sqrt 2)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))

rewrite74.0ms (3.3%)

Memory
-11.8MiB live, 36.9MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0934
01534
14132
214230
076830
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×iter limit
Counts
5 → 130
Calls
Call 1
Inputs
(/.f64 (/.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))) (fabs.f64 x))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))
(fabs.f64 x)
Outputs
(*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/4 binary64)) (neg.f64 x)) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/4 binary64)) (neg.f64 x)))
(*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/4 binary64)) x) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/4 binary64)) x))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)))
(*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)) (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x)))
(*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 x)) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) x)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) x) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/4 binary64)) (*.f64 x x)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) x))
(*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) x) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 x) x)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) x))
(*.f64 (*.f64 x x) (*.f64 x (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) x)))
(*.f64 x (*.f64 (*.f64 x x) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) x)))
(/.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) x) (sqrt.f64 #s(literal 2 binary64))) x)
(/.f64 (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (neg.f64 x))
(/.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (pow.f64 x #s(literal 3 binary64))) x)
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x))
(neg.f64 (/.f64 (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 x x)))
(sqrt.f64 (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (pow.f64 x #s(literal 6 binary64)) x)) (*.f64 x x)))
(sqrt.f64 (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 x)) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 x)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/4 binary64)) x))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) x))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 (*.f64 x x) (*.f64 x (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(*.f64 x (*.f64 (*.f64 x x) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (pow.f64 x #s(literal 6 binary64)) x)) #s(literal 1/2 binary64))
(/.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 x))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) x)
(neg.f64 (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(sqrt.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (pow.f64 x #s(literal 6 binary64)) x)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x)) x)
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (*.f64 x x))
(*.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/4 binary64))))
(*.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (fabs.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 x x) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 x (*.f64 (*.f64 x x) (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 (exp.f64 (fma.f64 (log.f64 x) #s(literal 6 binary64) (log.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/2 binary64))
(neg.f64 (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))))
(hypot.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(hypot.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(hypot.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))
(hypot.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(hypot.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(hypot.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(hypot.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(exp.f64 (*.f64 (fma.f64 (log.f64 x) #s(literal 6 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (*.f64 (fma.f64 (log.f64 x) #s(literal 6 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (fma.f64 (log.f64 x) #s(literal 6 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 x x)) x)
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) x) (*.f64 x x))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x (*.f64 x x)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))))
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))))
(*.f64 x (*.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))))
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 6 binary64)))
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)) x (pow.f64 x #s(literal 6 binary64)))
(fma.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64)))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x) (pow.f64 x #s(literal 6 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))
(fma.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 6 binary64))) #s(literal 2 binary64) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 6 binary64))) #s(literal 2 binary64)))
(fma.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64)))
(fma.f64 x (*.f64 (*.f64 x x) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (log.f64 x) #s(literal 6 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (log.f64 x) #s(literal 6 binary64)))))
(-.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(-.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(-.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (cosh.f64 (*.f64 (log.f64 x) #s(literal 6 binary64)))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 6 binary64))))
(+.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 6 binary64))) #s(literal 2 binary64)) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 6 binary64))) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (log.f64 x) #s(literal 6 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (log.f64 x) #s(literal 6 binary64)))))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 6 binary64))) (+.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64))))
(+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))
(*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(*.f64 (fabs.f64 (sqrt.f64 x)) (fabs.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/2 binary64))
(pow.f64 x #s(literal 1 binary64))
(neg.f64 (neg.f64 x))
(sqrt.f64 (*.f64 x x))
(fabs.f64 (neg.f64 x))
(fabs.f64 x)
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 x))
(+.f64 (cosh.f64 (log.f64 x)) (sinh.f64 (log.f64 x)))
x

eval16.0ms (0.7%)

Memory
30.8MiB live, 30.8MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 507 to 518 computations (79.3% saved)

prune9.0ms (0.4%)

Memory
-29.3MiB live, 15.7MiB allocated; 4ms collecting garbage
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New1561157
Fresh000
Picked101
Done055
Total1576163
Accuracy
100.0%
Counts
163 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(hypot.f64 x x)
20.4%
(/.f64 (/.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))) (fabs.f64 x)) x)
✓99.4%
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
✓51.7%
(sqrt.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)))
✓99.4%
#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
✓99.1%
#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) x))
Compiler

Compiled 166 to 86 computations (48.2% saved)

regimes13.0ms (0.5%)

Memory
24.8MiB live, 24.8MiB allocated; 0ms collecting garbage
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(sqrt.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)))
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))
(hypot.f64 x x)
(/.f64 (/.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))) (fabs.f64 x)) x)
(/.f64 (/.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))) (fabs.f64 x)) (fabs.f64 x))
(sqrt.f64 (/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)) (*.f64 x x)) (*.f64 x x)))
#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 (exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) x))
(/.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)))))
Outputs
(hypot.f64 x x)
Calls

4 calls:

3.0ms
x
3.0ms
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
3.0ms
(+.f64 (*.f64 x x) (*.f64 x x))
3.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
100.0%1(*.f64 x x)
100.0%1(+.f64 (*.f64 x x) (*.f64 x x))
100.0%1(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
100.0%1x
Compiler

Compiled 19 to 10 computations (47.4% saved)

regimes9.0ms (0.4%)

Memory
-30.7MiB live, 15.5MiB allocated; 3ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(sqrt.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)))
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x)))
Outputs
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
Calls

4 calls:

3.0ms
(+.f64 (*.f64 x x) (*.f64 x x))
2.0ms
x
2.0ms
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
2.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
99.4%1(*.f64 x x)
99.4%1(+.f64 (*.f64 x x) (*.f64 x x))
99.4%1(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
99.4%1x
Compiler

Compiled 19 to 10 computations (47.4% saved)

regimes6.0ms (0.2%)

Memory
11.4MiB live, 11.5MiB allocated; 0ms collecting garbage
Accuracy

Total -30.7b remaining (-7410%)

Threshold costs -30.7b (-7410%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(sqrt.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)))
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
Outputs
#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
Calls

4 calls:

1.0ms
x
1.0ms
(+.f64 (*.f64 x x) (*.f64 x x))
1.0ms
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
1.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
99.4%1(*.f64 x x)
99.4%1(+.f64 (*.f64 x x) (*.f64 x x))
99.4%1(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))
99.4%1x
Compiler

Compiled 19 to 10 computations (47.4% saved)

simplify42.0ms (1.8%)

Memory
-4.8MiB live, 41.9MiB allocated; 3ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01321
12421
26121
313821
421721
527921
647121
7226721
8390521
Stop Event
1×node limit
Calls
Call 1
Inputs
(hypot.f64 x x)
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
Outputs
(hypot.f64 x x)
(*.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x x)))
#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))

derivations72.0ms (3.1%)

Memory
30.9MiB live, 80.5MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
11817
24317
39217
422817
543717
648517
048517
0418
0714
12910
02509
02682
04360
111958
065958
Stop Event
1×fuel
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×iter limit
1×iter limit
1×saturated
Compiler

Compiled 23 to 13 computations (43.5% saved)

preprocess24.0ms (1%)

Memory
-7.6MiB live, 39.1MiB allocated; 3ms collecting garbage
Remove

(abs x)

Compiler

Compiled 68 to 38 computations (44.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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