Physics.ForceLayout:coulombForce from force-layout-0.4.0.2

Time bar (total: 3.5s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze10.0ms (0.3%)

Memory
15.2MiB live, 15.2MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 7 to 6 computations (14.3% saved)

sample517.0ms (14.8%)

Memory
4.7MiB live, 754.1MiB allocated
Samples
314.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 143.0ms
ival-mult: 71.0ms (49.7% of total)
ival-div: 62.0ms (43.4% of total)
ival-true: 6.0ms (4.2% of total)
ival-assert: 3.0ms (2.1% of total)
Bogosity

explain43.0ms (1.2%)

Memory
16.5MiB live, 55.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
290-1(7.748843676674382e-147 -2.6086039198686874e-156)(/.f64 x (*.f64 y y))
00-0-y
00-0-(*.f64 y y)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 x (*.f64 y y))n/o160
(*.f64 y y)overflow66
/.f64(/.f64 x (*.f64 y y))n/u120
(*.f64 y y)underflow63
Confusion
Predicted +Predicted -
+281
-0227
Precision
1.0
Recall
0.9655172413793104
Confusion?
Predicted +Predicted MaybePredicted -
+2801
-00227
Precision?
1.0
Recall?
0.9655172413793104
Freqs
test
numberfreq
0228
128
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
22.0ms512×0valid
Compiler

Compiled 39 to 20 computations (48.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 4.0ms (49.5% of total)
ival-div: 3.0ms (37.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess81.0ms (2.3%)

Memory
-17.9MiB live, 20.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01227
13927
210527
332827
483727
5136427
6150727
7153327
8155127
9156727
045
065
185
085
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 x (*.f64 y y))
Outputs
(/.f64 x (*.f64 y y))
Symmetry

(abs y)

(negabs x)

Compiler

Compiled 5 to 4 computations (20% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
89.9%
(/.f64 x (*.f64 y y))
Compiler

Compiled 5 to 4 computations (20% saved)

simplify2.0ms (0.1%)

Memory
1.7MiB live, 1.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y y)
cost-diff0
(/.f64 x (*.f64 y y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0410
0610
1810
0810
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 x (*.f64 y y))
x
(*.f64 y y)
y
Outputs
(/.f64 x (*.f64 y y))
x
(*.f64 y y)
y

localize13.0ms (0.4%)

Memory
14.4MiB live, 14.4MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 y y)
accuracy6.451488604086996
(/.f64 x (*.f64 y y))
Samples
9.0ms256×0valid
Compiler

Compiled 22 to 10 computations (54.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (53.3% of total)
ival-mult: 2.0ms (53.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
4.5MiB live, 4.5MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
(/.f64 x (*.f64 y y))
(*.f64 y y)
Outputs
(/ x (pow y 2))
(pow y 2)
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
((/ x (* y y)) (* y y))
1.0ms
y
@0
((/ x (* y y)) (* y y))
1.0ms
x
@0
((/ x (* y y)) (* y y))
1.0ms
x
@-inf
((/ x (* y y)) (* y y))
1.0ms
y
@inf
((/ x (* y y)) (* y y))

simplify2.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
058
168
288
088
Stop Event
iter limit
saturated
Counts
2 → 2
Calls
Call 1
Inputs
(/ x (pow y 2))
(pow y 2)
Outputs
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(pow y 2)
(*.f64 y y)

rewrite71.0ms (2%)

Memory
-0.9MiB live, 80.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048
068
1188
2778
33628
021588
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
2 → 147
Calls
Call 1
Inputs
(/.f64 x (*.f64 y y))
(*.f64 y y)
Outputs
(*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (*.f64 y y))
(*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 y #s(literal 6 binary64)))) (pow.f64 y #s(literal 4 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 x y))
(*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 x y))
(*.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(*.f64 (/.f64 (neg.f64 x) (sqrt.f64 y)) (/.f64 (/.f64 #s(literal -1 binary64) y) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (/.f64 x y) (sqrt.f64 y)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) (/.f64 (/.f64 (neg.f64 x) y) (sqrt.f64 y)))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (pow.f64 y #s(literal -1 binary64)) (sqrt.f64 y)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 (pow.f64 y #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 x) y))
(*.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 (neg.f64 x) y) y) #s(literal -1 binary64))
(*.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (neg.f64 x))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x y))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 x) y) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 x) y) y))
(*.f64 (/.f64 x y) (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 x y) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -2 binary64)) x)
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y y)))
(*.f64 (neg.f64 x) (neg.f64 (pow.f64 y #s(literal -2 binary64))))
(*.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(pow.f64 (exp.f64 (log.f64 (/.f64 (*.f64 y y) x))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (*.f64 y y) x) (/.f64 (*.f64 y y) x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1 binary64))
(pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(/.f64 (/.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64)) y)
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) (neg.f64 (pow.f64 y #s(literal -2 binary64)))) x)
(/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (neg.f64 (pow.f64 y #s(literal -2 binary64)))) (*.f64 x x))
(/.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (neg.f64 (*.f64 x x))) x)
(/.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 y x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (/.f64 (neg.f64 y) x))
(/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 y) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 (neg.f64 x) y) y) (/.f64 (/.f64 (neg.f64 x) y) y))) (/.f64 (/.f64 (neg.f64 x) y) y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (/.f64 (neg.f64 x) y) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (/.f64 (neg.f64 x) y) y) (/.f64 (/.f64 (neg.f64 x) y) y) (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 x) y) y)))))
(/.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 x x))) (*.f64 y x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 y (*.f64 x x)))
(/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 (*.f64 x x))) (*.f64 (neg.f64 y) x))
(/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 (neg.f64 y) (*.f64 x x)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x))) (*.f64 (*.f64 y y) x))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 y y) (*.f64 x x)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x x))) (*.f64 (*.f64 (neg.f64 y) y) x))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x)))
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal -1 binary64) y)) (*.f64 x y))
(/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) y)) (*.f64 (*.f64 x x) y))
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) (pow.f64 y #s(literal -1 binary64))) (*.f64 x (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 x x) (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64)) (*.f64 x (*.f64 y y)))
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 (neg.f64 y) y)))
(/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (*.f64 (neg.f64 y) y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (*.f64 (neg.f64 y) y) (/.f64 (neg.f64 x) y))) (*.f64 (*.f64 (neg.f64 y) y) y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (*.f64 (neg.f64 y) y) (/.f64 x y))) (*.f64 (*.f64 (neg.f64 y) y) (neg.f64 y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 y) y) (neg.f64 x))) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 y) y) x)) (pow.f64 y #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 y) x) y)) (*.f64 (neg.f64 y) y)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 (/.f64 (neg.f64 y) x) y)))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x))
(/.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 (neg.f64 y) y) x))
(/.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x)))
(/.f64 (/.f64 (/.f64 (neg.f64 x) y) y) #s(literal -1 binary64))
(/.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 y x))
(/.f64 (/.f64 (neg.f64 x) y) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 y))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) x) y))
(/.f64 (/.f64 x y) y)
(/.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) y))
(/.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(/.f64 x (*.f64 y y))
(neg.f64 (/.f64 (/.f64 (neg.f64 x) y) y))
(fma.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal 0 binary64) (/.f64 x (*.f64 y y)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 x) y) y))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y y) x)) #s(literal -1 binary64)))
(+.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal 0 binary64)) (/.f64 x (*.f64 y y)))
(+.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y y)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 y))
(*.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) (pow.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) y))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (neg.f64 y) y) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) y))
(*.f64 #s(literal 1 binary64) (*.f64 y y))
(*.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64))
(*.f64 (*.f64 y y) #s(literal 1 binary64))
(*.f64 y y)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (*.f64 y y))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 y #s(literal 6 binary64)))) (pow.f64 y #s(literal 4 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (neg.f64 y) y) #s(literal 3 binary64))) (pow.f64 y #s(literal 4 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64)))) (*.f64 y y))
(/.f64 (neg.f64 (neg.f64 (pow.f64 y #s(literal 6 binary64)))) (pow.f64 y #s(literal 4 binary64)))
(/.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (*.f64 (neg.f64 y) y))
(/.f64 (neg.f64 (pow.f64 y #s(literal 6 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (neg.f64 (pow.f64 y #s(literal 6 binary64))) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 y #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64)))
(/.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64))
(/.f64 (*.f64 y y) #s(literal 1 binary64))
(/.f64 y (pow.f64 y #s(literal -1 binary64)))
(neg.f64 (*.f64 (neg.f64 y) y))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 y) #s(literal 0 binary64))
(fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) #s(literal 0 binary64))
(fma.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) (pow.f64 y #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) (pow.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) y) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (pow.f64 y #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 y) (neg.f64 y) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (neg.f64 y) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) y) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 y y) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 y y) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 y y #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) y))
(exp.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))))
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y y))
(+.f64 (*.f64 y y) #s(literal 0 binary64))

eval22.0ms (0.6%)

Memory
-14.1MiB live, 24.3MiB allocated
Compiler

Compiled 1 533 to 352 computations (77% saved)

prune5.0ms (0.1%)

Memory
10.8MiB live, 10.9MiB allocated
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1436149
Fresh000
Picked011
Done000
Total1437150
Accuracy
100.0%
Counts
150 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.f64 (/.f64 x y) y)
99.7%
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x))
89.9%
(/.f64 x (*.f64 y y))
89.8%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
99.5%
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) x) y))
99.5%
(*.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
99.7%
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))
Compiler

Compiled 99 to 82 computations (17.2% saved)

simplify69.0ms (2%)

Memory
-5.5MiB live, 31.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 y)
cost-diff0
(/.f64 (neg.f64 y) x)
cost-diff0
(/.f64 #s(literal -1 binary64) y)
cost-diff832
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x))
cost-diff0
(neg.f64 y)
cost-diff0
(/.f64 (neg.f64 y) x)
cost-diff0
(*.f64 (/.f64 (neg.f64 y) x) y)
cost-diff448
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) x) y))
cost-diff0
(/.f64 #s(literal -1 binary64) y)
cost-diff0
(neg.f64 x)
cost-diff0
(/.f64 (neg.f64 x) y)
cost-diff448
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))
cost-diff0
(*.f64 y y)
cost-diff0
(/.f64 (*.f64 y y) x)
cost-diff320
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
cost-diff0
(/.f64 x y)
cost-diff0
(/.f64 (/.f64 x y) y)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01891
03280
15780
211680
322680
455180
5135580
6223280
7225980
8226780
9226880
0226880
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 x y) y)
(/.f64 x y)
x
y
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
#s(literal 1 binary64)
(/.f64 (*.f64 y y) x)
(*.f64 y y)
y
x
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))
(/.f64 (neg.f64 x) y)
(neg.f64 x)
x
y
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) x) y))
#s(literal -1 binary64)
(*.f64 (/.f64 (neg.f64 y) x) y)
(/.f64 (neg.f64 y) x)
(neg.f64 y)
y
x
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
(/.f64 (neg.f64 y) x)
(neg.f64 y)
x
Outputs
(/.f64 (/.f64 x y) y)
(/.f64 x y)
x
y
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
(/.f64 (/.f64 x y) y)
#s(literal 1 binary64)
(/.f64 (*.f64 y y) x)
(*.f64 y y)
y
x
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))
(/.f64 (/.f64 x y) y)
(/.f64 (neg.f64 x) y)
(neg.f64 x)
x
y
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) x) y))
(/.f64 (/.f64 x y) y)
#s(literal -1 binary64)
(*.f64 (/.f64 (neg.f64 y) x) y)
(/.f64 (neg.f64 y) x)
(neg.f64 y)
y
x
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x))
(/.f64 (/.f64 x y) y)
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
(/.f64 (neg.f64 y) x)
(neg.f64 y)
x

localize116.0ms (3.3%)

Memory
-13.2MiB live, 90.3MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 (neg.f64 y) x)
accuracy0.0
(/.f64 #s(literal -1 binary64) y)
accuracy0.0
(neg.f64 y)
accuracy0.201503759768442
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x))
accuracy0.0
(/.f64 (neg.f64 y) x)
accuracy0.0
(neg.f64 y)
accuracy0.1328125
(*.f64 (/.f64 (neg.f64 y) x) y)
accuracy0.25413069291757606
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) x) y))
accuracy0.0
(/.f64 (neg.f64 x) y)
accuracy0.0
(/.f64 #s(literal -1 binary64) y)
accuracy0.0
(neg.f64 x)
accuracy0.1953125
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))
accuracy0.0
(*.f64 y y)
accuracy0.25413069291757606
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
accuracy6.568342647404962
(/.f64 (*.f64 y y) x)
accuracy0.0
(/.f64 x y)
accuracy0.140625
(/.f64 (/.f64 x y) y)
Samples
87.0ms256×0valid
Compiler

Compiled 184 to 38 computations (79.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
ival-div: 61.0ms (89% of total)
ival-mult: 5.0ms (7.3% of total)
ival-neg: 2.0ms (2.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series44.0ms (1.2%)

Memory
-11.4MiB live, 26.4MiB allocated
Counts
14 → 10
Calls
Call 1
Inputs
(/.f64 (/.f64 x y) y)
(/.f64 x y)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
(/.f64 (*.f64 y y) x)
(*.f64 y y)
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))
(/.f64 (neg.f64 x) y)
(neg.f64 x)
(/.f64 #s(literal -1 binary64) y)
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) x) y))
(*.f64 (/.f64 (neg.f64 y) x) y)
(/.f64 (neg.f64 y) x)
(neg.f64 y)
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x))
Outputs
(/ x (pow y 2))
(/ x y)
(/ (pow y 2) x)
(* -1 (/ x y))
(* -1 x)
(* -1 (/ (pow y 2) x))
(* -1 (/ y x))
(pow y 2)
(/ -1 y)
(* -1 y)
Calls

6 calls:

TimeVariablePointExpression
31.0ms
x
@-inf
((/ (/ x y) y) (/ x y) (/ 1 (/ (* y y) x)) (/ (* y y) x) (* y y) (* (/ (neg x) y) (/ -1 y)) (/ (neg x) y) (neg x) (/ -1 y) (/ -1 (* (/ (neg y) x) y)) (* (/ (neg y) x) y) (/ (neg y) x) (neg y) (/ (/ -1 y) (/ (neg y) x)))
3.0ms
y
@inf
((/ (/ x y) y) (/ x y) (/ 1 (/ (* y y) x)) (/ (* y y) x) (* y y) (* (/ (neg x) y) (/ -1 y)) (/ (neg x) y) (neg x) (/ -1 y) (/ -1 (* (/ (neg y) x) y)) (* (/ (neg y) x) y) (/ (neg y) x) (neg y) (/ (/ -1 y) (/ (neg y) x)))
3.0ms
x
@0
((/ (/ x y) y) (/ x y) (/ 1 (/ (* y y) x)) (/ (* y y) x) (* y y) (* (/ (neg x) y) (/ -1 y)) (/ (neg x) y) (neg x) (/ -1 y) (/ -1 (* (/ (neg y) x) y)) (* (/ (neg y) x) y) (/ (neg y) x) (neg y) (/ (/ -1 y) (/ (neg y) x)))
2.0ms
x
@inf
((/ (/ x y) y) (/ x y) (/ 1 (/ (* y y) x)) (/ (* y y) x) (* y y) (* (/ (neg x) y) (/ -1 y)) (/ (neg x) y) (neg x) (/ -1 y) (/ -1 (* (/ (neg y) x) y)) (* (/ (neg y) x) y) (/ (neg y) x) (neg y) (/ (/ -1 y) (/ (neg y) x)))
2.0ms
y
@0
((/ (/ x y) y) (/ x y) (/ 1 (/ (* y y) x)) (/ (* y y) x) (* y y) (* (/ (neg x) y) (/ -1 y)) (/ (neg x) y) (neg x) (/ -1 y) (/ -1 (* (/ (neg y) x) y)) (* (/ (neg y) x) y) (/ (neg y) x) (neg y) (/ (/ -1 y) (/ (neg y) x)))

simplify7.0ms (0.2%)

Memory
15.4MiB live, 15.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01537
13037
24837
37737
410237
512337
615137
720337
821837
922037
022037
Stop Event
iter limit
saturated
Counts
10 → 10
Calls
Call 1
Inputs
(/ x (pow y 2))
(/ x y)
(/ (pow y 2) x)
(* -1 (/ x y))
(* -1 x)
(* -1 (/ (pow y 2) x))
(* -1 (/ y x))
(pow y 2)
(/ -1 y)
(* -1 y)
Outputs
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x y)
(/.f64 x y)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 x)
(neg.f64 x)
(* -1 (/ (pow y 2) x))
(*.f64 (neg.f64 y) (/.f64 y x))
(* -1 (/ y x))
(/.f64 y (neg.f64 x))
(pow y 2)
(*.f64 y y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(* -1 y)
(neg.f64 y)

rewrite94.0ms (2.7%)

Memory
-29.1MiB live, 54.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01868
03257
111057
253857
0237157
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
14 → 768
Calls
Call 1
Inputs
(/.f64 (/.f64 x y) y)
(/.f64 x y)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
(/.f64 (*.f64 y y) x)
(*.f64 y y)
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))
(/.f64 (neg.f64 x) y)
(neg.f64 x)
(/.f64 #s(literal -1 binary64) y)
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) x) y))
(*.f64 (/.f64 (neg.f64 y) x) y)
(/.f64 (neg.f64 y) x)
(neg.f64 y)
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x))
Outputs
(*.f64 (/.f64 (/.f64 (neg.f64 x) y) (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (*.f64 y y))
(*.f64 (/.f64 (/.f64 (neg.f64 x) y) (*.f64 (neg.f64 y) y)) y)
(*.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) x)
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (neg.f64 (pow.f64 y #s(literal -2 binary64))))
(*.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (neg.f64 x))
(*.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 y #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (pow.f64 y #s(literal -2 binary64)) x)
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x y))
(*.f64 (/.f64 (/.f64 (neg.f64 x) y) y) #s(literal -1 binary64))
(*.f64 (/.f64 (/.f64 x y) y) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 x) y))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 x) y) y))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))
(*.f64 (neg.f64 x) (/.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 (pow.f64 y #s(literal -2 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 x y) y))
(*.f64 (/.f64 x y) (pow.f64 y #s(literal -1 binary64)))
(*.f64 x (/.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(pow.f64 (exp.f64 (log.f64 (/.f64 (*.f64 y y) x))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (*.f64 y y) x) (/.f64 (*.f64 y y) x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1 binary64))
(pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1 binary64))
(/.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) (neg.f64 (pow.f64 y #s(literal -2 binary64)))) x)
(/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (neg.f64 (pow.f64 y #s(literal -2 binary64)))) (*.f64 x x))
(/.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (neg.f64 (*.f64 x x))) x)
(/.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x x))) (*.f64 (*.f64 (neg.f64 y) y) x))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 x x))) (*.f64 y x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 y (*.f64 x x)))
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) (pow.f64 y #s(literal -1 binary64))) (*.f64 x (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 x x) (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64)) (*.f64 x (*.f64 y y)))
(/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal -1 binary64) y)) (*.f64 x y))
(/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) y)) (*.f64 (*.f64 x x) y))
(/.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 (neg.f64 y) y) x))
(/.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x)))
(/.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 y x))
(/.f64 (/.f64 (/.f64 (neg.f64 x) y) y) #s(literal -1 binary64))
(/.f64 (/.f64 (/.f64 x y) y) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) x) y))
(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 y))
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) y))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
(/.f64 (/.f64 x y) y)
(/.f64 x (*.f64 y y))
(neg.f64 (/.f64 (/.f64 (neg.f64 x) y) y))
(fma.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal 0 binary64) (/.f64 (/.f64 x y) y))
(fma.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 (/.f64 x y) y))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y x)) (/.f64 (/.f64 (neg.f64 x) y) y))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 (/.f64 (neg.f64 x) y) y))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) y)) (/.f64 (/.f64 (neg.f64 x) y) y))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 x) y) y))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y y) x)) #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 y #s(literal -2 binary64)))) (/.f64 (/.f64 x y) y))
(+.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal 0 binary64)) (/.f64 (/.f64 x y) y))
(*.f64 (/.f64 (neg.f64 x) (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (*.f64 y y))
(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) x)
(*.f64 (/.f64 (/.f64 x y) y) y)
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 x (pow.f64 y #s(literal -1 binary64)))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y))) (/.f64 (neg.f64 x) y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 x) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (neg.f64 x) y) (/.f64 (neg.f64 x) y) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y)))))
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(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x y))
(*.f64 (/.f64 (/.f64 (neg.f64 x) y) y) #s(literal -1 binary64))
(*.f64 (/.f64 (/.f64 x y) y) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 x) y))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 x) y) y))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))
(*.f64 (neg.f64 x) (/.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 (pow.f64 y #s(literal -2 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 x y) y))
(*.f64 (/.f64 x y) (pow.f64 y #s(literal -1 binary64)))
(*.f64 x (/.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(pow.f64 (exp.f64 (log.f64 (/.f64 (*.f64 y y) x))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (*.f64 y y) x) (/.f64 (*.f64 y y) x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 x y) y) #s(literal 1 binary64))
(pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1 binary64))
(/.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) (neg.f64 (pow.f64 y #s(literal -2 binary64)))) x)
(/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (neg.f64 (pow.f64 y #s(literal -2 binary64)))) (*.f64 x x))
(/.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (neg.f64 (*.f64 x x))) x)
(/.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x x))) (*.f64 (*.f64 (neg.f64 y) y) x))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 x x))) (*.f64 y x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 y (*.f64 x x)))
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) (pow.f64 y #s(literal -1 binary64))) (*.f64 x (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 x x) (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64)) (*.f64 x (*.f64 y y)))
(/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal -1 binary64) y)) (*.f64 x y))
(/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) y)) (*.f64 (*.f64 x x) y))
(/.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 (neg.f64 y) y) x))
(/.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x)))
(/.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 y x))
(/.f64 (/.f64 (/.f64 (neg.f64 x) y) y) #s(literal -1 binary64))
(/.f64 (/.f64 (/.f64 x y) y) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) x) y))
(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 y))
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) y))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
(/.f64 (/.f64 x y) y)
(/.f64 x (*.f64 y y))
(neg.f64 (/.f64 (/.f64 (neg.f64 x) y) y))
(fma.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal 0 binary64) (/.f64 (/.f64 x y) y))
(fma.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 y #s(literal -2 binary64))) (/.f64 (/.f64 x y) y))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y x)) (/.f64 (/.f64 (neg.f64 x) y) y))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 (/.f64 (neg.f64 x) y) y))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) y)) (/.f64 (/.f64 (neg.f64 x) y) y))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 x) y) y))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y y) x)) #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 y #s(literal -2 binary64)))) (/.f64 (/.f64 x y) y))
(+.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) #s(literal 0 binary64)) (/.f64 (/.f64 x y) y))

eval78.0ms (2.2%)

Memory
29.0MiB live, 66.6MiB allocated
Compiler

Compiled 7 186 to 1 500 computations (79.1% saved)

prune38.0ms (1.1%)

Memory
-10.5MiB live, 27.6MiB allocated
Pruning

9 alts after pruning (4 fresh and 5 done)

PrunedKeptTotal
New6023605
Fresh011
Picked145
Done011
Total6039612
Accuracy
100.0%
Counts
612 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.f64 (/.f64 x y) y)
99.7%
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x))
99.7%
(/.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (/.f64 #s(literal -1 binary64) x) y))
99.7%
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) y)
89.9%
(/.f64 x (*.f64 y y))
89.8%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
99.5%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
99.5%
(*.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
99.7%
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))
Compiler

Compiled 68 to 56 computations (17.6% saved)

simplify89.0ms (2.5%)

Memory
8.9MiB live, 47.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal -1 binary64) x)
cost-diff0
(/.f64 #s(literal -1 binary64) y)
cost-diff192
(*.f64 (/.f64 #s(literal -1 binary64) x) y)
cost-diff832
(/.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (/.f64 #s(literal -1 binary64) x) y))
cost-diff0
(neg.f64 x)
cost-diff0
(/.f64 #s(literal -1 binary64) y)
cost-diff0
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) y)
cost-diff448
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))
cost-diff0
(/.f64 y x)
cost-diff0
(*.f64 (/.f64 y x) y)
cost-diff320
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
cost-diff0
(sqrt.f64 y)
cost-diff0
(/.f64 x y)
cost-diff0
(/.f64 (/.f64 x y) (sqrt.f64 y))
cost-diff2304
(*.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01992
03498
16489
213089
325573
482973
5246273
6367173
7422173
8431473
9433773
10433773
11433773
12433773
0433773
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(/.f64 (/.f64 x y) (sqrt.f64 y))
(/.f64 x y)
x
y
(sqrt.f64 y)
(/.f64 #s(literal 1 binary64) (sqrt.f64 y))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
#s(literal 1 binary64)
(*.f64 (/.f64 y x) y)
(/.f64 y x)
y
x
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) y)
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
(neg.f64 x)
x
(/.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (/.f64 #s(literal -1 binary64) x) y))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
(*.f64 (/.f64 #s(literal -1 binary64) x) y)
(/.f64 #s(literal -1 binary64) x)
x
Outputs
(*.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(/.f64 (/.f64 x y) y)
(/.f64 (/.f64 x y) (sqrt.f64 y))
(/.f64 (/.f64 x (sqrt.f64 y)) y)
(/.f64 x y)
x
y
(sqrt.f64 y)
(/.f64 #s(literal 1 binary64) (sqrt.f64 y))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
(/.f64 (/.f64 x y) y)
#s(literal 1 binary64)
(*.f64 (/.f64 y x) y)
(/.f64 y x)
y
x
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) y)
(/.f64 (/.f64 x y) y)
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))
(/.f64 x y)
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
(neg.f64 x)
x
(/.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (/.f64 #s(literal -1 binary64) x) y))
(/.f64 (/.f64 x y) y)
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
(*.f64 (/.f64 #s(literal -1 binary64) x) y)
(/.f64 y (neg.f64 x))
(/.f64 #s(literal -1 binary64) x)
x

localize99.0ms (2.8%)

Memory
-22.9MiB live, 58.0MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 #s(literal -1 binary64) y)
accuracy0.0
(/.f64 #s(literal -1 binary64) x)
accuracy0.201503759768442
(/.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (/.f64 #s(literal -1 binary64) x) y))
accuracy0.234375
(*.f64 (/.f64 #s(literal -1 binary64) x) y)
accuracy0.0
(/.f64 #s(literal -1 binary64) y)
accuracy0.0
(neg.f64 x)
accuracy0.140625
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) y)
accuracy0.1640625
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))
accuracy0.0
(/.f64 y x)
accuracy0.1328125
(*.f64 (/.f64 y x) y)
accuracy0.25413069291757606
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
accuracy0.0
(sqrt.f64 y)
accuracy0.17644501953688405
(*.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
accuracy0.2109375
(/.f64 (/.f64 x y) (sqrt.f64 y))
accuracy0.2109375
(/.f64 #s(literal 1 binary64) (sqrt.f64 y))
Samples
58.0ms256×0valid
Compiler

Compiled 186 to 40 computations (78.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-div: 22.0ms (69.1% of total)
ival-mult: 6.0ms (18.8% of total)
ival-sqrt: 2.0ms (6.3% of total)
ival-neg: 1.0ms (3.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series16.0ms (0.5%)

Memory
9.7MiB live, 9.7MiB allocated
Counts
15 → 13
Calls
Call 1
Inputs
(*.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(/.f64 (/.f64 x y) (sqrt.f64 y))
(/.f64 x y)
(sqrt.f64 y)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
(*.f64 (/.f64 y x) y)
(/.f64 y x)
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) y)
(/.f64 #s(literal -1 binary64) y)
(neg.f64 x)
(/.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (/.f64 #s(literal -1 binary64) x) y))
(*.f64 (/.f64 #s(literal -1 binary64) x) y)
(/.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal 1 binary64) (sqrt.f64 y))
Outputs
(/ x (pow y 2))
(* x (sqrt (/ 1 (pow y 3))))
(/ x y)
(/ (pow y 2) x)
(/ y x)
(* -1 x)
(* -1 (/ y x))
(/ -1 x)
(sqrt y)
(/ -1 y)
(sqrt (/ 1 y))
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
Calls

6 calls:

TimeVariablePointExpression
4.0ms
y
@-inf
((* (/ (/ x y) (sqrt y)) (/ 1 (sqrt y))) (/ (/ x y) (sqrt y)) (/ x y) (sqrt y) (/ 1 (* (/ y x) y)) (* (/ y x) y) (/ y x) (* (/ -1 y) (neg x)) (/ (* (/ -1 y) (neg x)) y) (/ -1 y) (neg x) (/ (/ -1 y) (* (/ -1 x) y)) (* (/ -1 x) y) (/ -1 x) (/ 1 (sqrt y)))
3.0ms
x
@0
((* (/ (/ x y) (sqrt y)) (/ 1 (sqrt y))) (/ (/ x y) (sqrt y)) (/ x y) (sqrt y) (/ 1 (* (/ y x) y)) (* (/ y x) y) (/ y x) (* (/ -1 y) (neg x)) (/ (* (/ -1 y) (neg x)) y) (/ -1 y) (neg x) (/ (/ -1 y) (* (/ -1 x) y)) (* (/ -1 x) y) (/ -1 x) (/ 1 (sqrt y)))
2.0ms
x
@-inf
((* (/ (/ x y) (sqrt y)) (/ 1 (sqrt y))) (/ (/ x y) (sqrt y)) (/ x y) (sqrt y) (/ 1 (* (/ y x) y)) (* (/ y x) y) (/ y x) (* (/ -1 y) (neg x)) (/ (* (/ -1 y) (neg x)) y) (/ -1 y) (neg x) (/ (/ -1 y) (* (/ -1 x) y)) (* (/ -1 x) y) (/ -1 x) (/ 1 (sqrt y)))
2.0ms
y
@0
((* (/ (/ x y) (sqrt y)) (/ 1 (sqrt y))) (/ (/ x y) (sqrt y)) (/ x y) (sqrt y) (/ 1 (* (/ y x) y)) (* (/ y x) y) (/ y x) (* (/ -1 y) (neg x)) (/ (* (/ -1 y) (neg x)) y) (/ -1 y) (neg x) (/ (/ -1 y) (* (/ -1 x) y)) (* (/ -1 x) y) (/ -1 x) (/ 1 (sqrt y)))
2.0ms
x
@inf
((* (/ (/ x y) (sqrt y)) (/ 1 (sqrt y))) (/ (/ x y) (sqrt y)) (/ x y) (sqrt y) (/ 1 (* (/ y x) y)) (* (/ y x) y) (/ y x) (* (/ -1 y) (neg x)) (/ (* (/ -1 y) (neg x)) y) (/ -1 y) (neg x) (/ (/ -1 y) (* (/ -1 x) y)) (* (/ -1 x) y) (/ -1 x) (/ 1 (sqrt y)))

simplify203.0ms (5.8%)

Memory
8.3MiB live, 77.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02949
15249
213349
332349
499949
5264549
6354149
7406249
8429449
9436649
10438349
11451249
12507049
13535849
14536849
15537049
16537049
17537049
18658849
19683749
20760749
21784349
22789849
23796049
0801249
Stop Event
iter limit
node limit
Counts
13 → 13
Calls
Call 1
Inputs
(/ x (pow y 2))
(* x (sqrt (/ 1 (pow y 3))))
(/ x y)
(/ (pow y 2) x)
(/ y x)
(* -1 x)
(* -1 (/ y x))
(/ -1 x)
(sqrt y)
(/ -1 y)
(sqrt (/ 1 y))
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
Outputs
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x)
(/ x y)
(/.f64 x y)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ y x)
(/.f64 y x)
(* -1 x)
(neg.f64 x)
(* -1 (/ y x))
(/.f64 (neg.f64 y) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(sqrt y)
(sqrt.f64 y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(sqrt (/ 1 y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))
(/.f64 x (*.f64 y y))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(sqrt.f64 y)

rewrite123.0ms (3.5%)

Memory
-10.5MiB live, 117.8MiB allocated
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01977
03473
111555
268455
3407554
0882654
Stop Event
iter limit
node limit
iter limit
Counts
15 → 966
Calls
Call 1
Inputs
(*.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(/.f64 (/.f64 x y) (sqrt.f64 y))
(/.f64 x y)
(sqrt.f64 y)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
(*.f64 (/.f64 y x) y)
(/.f64 y x)
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) y)
(/.f64 #s(literal -1 binary64) y)
(neg.f64 x)
(/.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (/.f64 #s(literal -1 binary64) x) y))
(*.f64 (/.f64 #s(literal -1 binary64) x) y)
(/.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal 1 binary64) (sqrt.f64 y))
Outputs
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 y #s(literal -1 binary64)))) (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -1/4 binary64)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 (sqrt.f64 y) x)) (pow.f64 y #s(literal -5/4 binary64)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 y) x)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal -1/4 binary64)))
(*.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal -3/4 binary64)))
(*.f64 (/.f64 x (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal -7/4 binary64)))
(*.f64 (pow.f64 y #s(literal -3/4 binary64)) (/.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 y x)))
(*.f64 (pow.f64 y #s(literal -3/4 binary64)) (/.f64 (/.f64 x y) (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (pow.f64 y #s(literal -2 binary64)) x)
(*.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal -3/2 binary64)))
(*.f64 (/.f64 x (*.f64 y y)) #s(literal -1 binary64))
(*.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(*.f64 (pow.f64 y #s(literal -3/2 binary64)) (/.f64 x (sqrt.f64 y)))
(*.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) x)))
(*.f64 (pow.f64 y #s(literal -1/4 binary64)) (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x)))
(*.f64 (pow.f64 y #s(literal -1/4 binary64)) (/.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x) (pow.f64 y #s(literal 1/4 binary64))))
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(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) x)) (*.f64 (/.f64 y x) (*.f64 x x))) (*.f64 (/.f64 y x) (*.f64 (*.f64 y y) x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) (*.f64 x x))) (*.f64 (/.f64 y x) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (/.f64 y x) (*.f64 (*.f64 y y) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (/.f64 y x) x)) (*.f64 (/.f64 y x) (*.f64 y y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (/.f64 y x) (/.f64 x y))) (*.f64 (/.f64 y x) y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y x)) (*.f64 (/.f64 y x) (pow.f64 y #s(literal -1 binary64)))) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y x) (/.f64 x (*.f64 y y)))) (/.f64 y x))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) x)) (*.f64 (/.f64 y x) (pow.f64 y #s(literal -1/2 binary64)))) (*.f64 (/.f64 y x) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 x (sqrt.f64 y)))) (/.f64 y x)) (*.f64 (/.f64 y x) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 x (sqrt.f64 y)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 y x) y)) (/.f64 y x)) (*.f64 (/.f64 y x) (*.f64 (/.f64 y x) y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 y)) (*.f64 (/.f64 y x) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x))) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) x))
(/.f64 (*.f64 (*.f64 x x) (pow.f64 y #s(literal -2 binary64))) x)
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal -2 binary64))) (*.f64 x x))
(/.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 y) x)) y)
(/.f64 (/.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(/.f64 (*.f64 (*.f64 x x) (pow.f64 y #s(literal -1 binary64))) (*.f64 x y))
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal -1 binary64))) (*.f64 (*.f64 x x) y))
(/.f64 (pow.f64 y #s(literal -2 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal 3/2 binary64)))
(/.f64 (/.f64 x (*.f64 y y)) #s(literal -1 binary64))
(/.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(/.f64 (pow.f64 y #s(literal -3/2 binary64)) (/.f64 (sqrt.f64 y) x))
(/.f64 (*.f64 x x) (neg.f64 (*.f64 (*.f64 y y) x)))
(/.f64 (*.f64 x x) (*.f64 (*.f64 y y) x))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (*.f64 (*.f64 y y) (*.f64 x x))))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 y y) (*.f64 x x)))
(/.f64 x (*.f64 y y))
(/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 y x))
(/.f64 (/.f64 x y) y)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 x (sqrt.f64 y)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) y))
(/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 x (sqrt.f64 y))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
(/.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x) (sqrt.f64 y))
(neg.f64 (/.f64 x (*.f64 y y)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 x (*.f64 y y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y x)) (/.f64 x (*.f64 y y)))
(-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y y)))
(exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 (pow.f64 y #s(literal 3/2 binary64)) x)) #s(literal -1 binary64)) (log.f64 (sqrt.f64 y))))
(exp.f64 (fma.f64 (log.f64 (*.f64 (/.f64 y x) y)) #s(literal -1/2 binary64) (*.f64 (log.f64 (*.f64 (/.f64 y x) y)) #s(literal -1/2 binary64))))
(exp.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) (*.f64 (log.f64 (/.f64 (pow.f64 y #s(literal 3/2 binary64)) x)) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 (/.f64 (pow.f64 y #s(literal 3/2 binary64)) x)) #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (log.f64 y))))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x (*.f64 y y)) #s(literal -2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 y #s(literal -1 binary64)))) #s(literal 2 binary64)))
(exp.f64 (log.f64 (/.f64 x (*.f64 y y))))
(*.f64 (/.f64 y (*.f64 x x)) x)
(*.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) (*.f64 x x))
(*.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y))
(*.f64 (pow.f64 x #s(literal -1 binary64)) y)
(*.f64 (/.f64 y x) #s(literal -1 binary64))
(*.f64 (/.f64 y x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 y x))
(*.f64 #s(literal 1 binary64) (/.f64 y x))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) x))
(*.f64 y (pow.f64 x #s(literal -1 binary64)))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 x y) #s(literal -1 binary64))
(pow.f64 (/.f64 y x) #s(literal 1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))) (/.f64 y x))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x y) #s(literal -3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 y x))))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y x)) (*.f64 x (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64))))) (*.f64 x (/.f64 y x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 y x))))) (*.f64 x (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x y) #s(literal -3 binary64))))) (*.f64 x (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 y x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 y x))) x)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (pow.f64 x #s(literal -1 binary64)))) (/.f64 x y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (*.f64 x x))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) x) (*.f64 x (/.f64 x y)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64))) (/.f64 y x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x y) #s(literal -3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 y x)))))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (/.f64 y x) #s(literal -1 binary64))
(/.f64 (/.f64 y x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 x y))
(/.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 y x)
(neg.f64 (/.f64 y x))
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 y x))
(-.f64 #s(literal 0 binary64) (/.f64 y x))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (/.f64 y x)))
(+.f64 #s(literal 0 binary64) (/.f64 y x))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 x x))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) x)
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
(pow.f64 x #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (pow.f64 x #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1 binary64)))
(exp.f64 (neg.f64 (log.f64 x)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -1/4 binary64)))
(*.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 y #s(literal -1/4 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (sqrt.f64 y)))
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/8 binary64))
(pow.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal -2 binary64))
(pow.f64 (*.f64 y y) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 y) #s(literal -1 binary64))
(pow.f64 y #s(literal -1/2 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 1/4 binary64)))) (neg.f64 (pow.f64 y #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (pow.f64 y #s(literal -1/4 binary64))) (neg.f64 (pow.f64 y #s(literal 1/4 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(/.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(/.f64 #s(literal -1 binary64) (sqrt.f64 y))
(/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -1 binary64))
(/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 y))
(neg.f64 (pow.f64 y #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64)))
(exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 y))))
(exp.f64 (fma.f64 (log.f64 (sqrt.f64 y)) #s(literal -1/2 binary64) (*.f64 (log.f64 (sqrt.f64 y)) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal -1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal -1/4 binary64)))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y)))

eval123.0ms (3.5%)

Memory
26.0MiB live, 146.2MiB allocated
Compiler

Compiled 9 397 to 1 922 computations (79.5% saved)

prune142.0ms (4.1%)

Memory
-4.7MiB live, 32.5MiB allocated
Pruning

10 alts after pruning (2 fresh and 8 done)

PrunedKeptTotal
New6402642
Fresh000
Picked134
Done055
Total64110651
Accuracy
100.0%
Counts
651 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.f64 (/.f64 x y) y)
99.7%
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x))
99.7%
(/.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (/.f64 #s(literal -1 binary64) x) y))
99.7%
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) y)
67.6%
(/.f64 (*.f64 x x) (*.f64 (*.f64 y y) x))
89.9%
(/.f64 x (*.f64 y y))
89.8%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
99.5%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
99.4%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y))
99.7%
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))
Compiler

Compiled 77 to 62 computations (19.5% saved)

simplify193.0ms (5.5%)

Memory
-2.4MiB live, 82.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y y)
cost-diff0
(*.f64 (*.f64 y y) x)
cost-diff0
(*.f64 x x)
cost-diff640
(/.f64 (*.f64 x x) (*.f64 (*.f64 y y) x))
cost-diff0
(/.f64 (sqrt.f64 y) x)
cost-diff0
(*.f64 (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y)
cost-diff704
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y))
cost-diff1600
(*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01258
02160
14144
28540
315740
460640
5227740
6252840
7269040
8286740
9301640
10316840
11428840
12622040
13658940
14675140
15678940
16682740
17686540
0819040
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y))
#s(literal 1 binary64)
(*.f64 (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y)
(*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y))
(/.f64 (sqrt.f64 y) x)
(sqrt.f64 y)
y
x
(/.f64 (*.f64 x x) (*.f64 (*.f64 y y) x))
(*.f64 x x)
x
(*.f64 (*.f64 y y) x)
(*.f64 y y)
y
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y))
(/.f64 x (*.f64 y y))
#s(literal 1 binary64)
(*.f64 (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y)
(*.f64 (/.f64 y x) y)
(*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y))
(/.f64 y x)
(/.f64 (sqrt.f64 y) x)
(sqrt.f64 y)
y
x
(/.f64 (*.f64 x x) (*.f64 (*.f64 y y) x))
(/.f64 x (*.f64 y y))
(*.f64 x x)
x
(*.f64 (*.f64 y y) x)
(*.f64 y y)
y

localize48.0ms (1.4%)

Memory
-2.8MiB live, 35.7MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 y y)
accuracy0.0
(*.f64 x x)
accuracy8.92978920015902
(*.f64 (*.f64 y y) x)
accuracy20.11141277020694
(/.f64 (*.f64 x x) (*.f64 (*.f64 y y) x))
accuracy0.1328125
(*.f64 (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y)
accuracy0.228847509768442
(*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y))
accuracy0.23828125
(/.f64 (sqrt.f64 y) x)
accuracy0.25413069291757606
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y))
Samples
40.0ms256×0valid
Compiler

Compiled 118 to 26 computations (78% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-div: 22.0ms (70.7% of total)
ival-mult: 7.0ms (22.5% of total)
ival-sqrt: 2.0ms (6.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series40.0ms (1.2%)

Memory
-20.2MiB live, 18.0MiB allocated
Counts
8 → 11
Calls
Call 1
Inputs
(*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y))
(*.f64 (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y)
(/.f64 (sqrt.f64 y) x)
(/.f64 (*.f64 x x) (*.f64 (*.f64 y y) x))
(*.f64 x x)
(*.f64 (*.f64 y y) x)
(*.f64 y y)
Outputs
(/ y x)
(/ x (pow y 2))
(/ (pow y 2) x)
(* (/ 1 x) (sqrt y))
(pow x 2)
(* x (pow y 2))
(pow y 2)
(* -1 (/ (* y (pow (sqrt -1) 2)) x))
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))
(* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) x))
(* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt y)))
Calls

6 calls:

TimeVariablePointExpression
32.0ms
y
@-inf
((* (/ (sqrt y) x) (sqrt y)) (/ 1 (* (* (/ (sqrt y) x) (sqrt y)) y)) (* (* (/ (sqrt y) x) (sqrt y)) y) (/ (sqrt y) x) (/ (* x x) (* (* y y) x)) (* x x) (* (* y y) x) (* y y))
2.0ms
x
@-inf
((* (/ (sqrt y) x) (sqrt y)) (/ 1 (* (* (/ (sqrt y) x) (sqrt y)) y)) (* (* (/ (sqrt y) x) (sqrt y)) y) (/ (sqrt y) x) (/ (* x x) (* (* y y) x)) (* x x) (* (* y y) x) (* y y))
2.0ms
x
@0
((* (/ (sqrt y) x) (sqrt y)) (/ 1 (* (* (/ (sqrt y) x) (sqrt y)) y)) (* (* (/ (sqrt y) x) (sqrt y)) y) (/ (sqrt y) x) (/ (* x x) (* (* y y) x)) (* x x) (* (* y y) x) (* y y))
2.0ms
y
@inf
((* (/ (sqrt y) x) (sqrt y)) (/ 1 (* (* (/ (sqrt y) x) (sqrt y)) y)) (* (* (/ (sqrt y) x) (sqrt y)) y) (/ (sqrt y) x) (/ (* x x) (* (* y y) x)) (* x x) (* (* y y) x) (* y y))
1.0ms
x
@inf
((* (/ (sqrt y) x) (sqrt y)) (/ 1 (* (* (/ (sqrt y) x) (sqrt y)) y)) (* (* (/ (sqrt y) x) (sqrt y)) y) (/ (sqrt y) x) (/ (* x x) (* (* y y) x)) (* x x) (* (* y y) x) (* y y))

simplify144.0ms (4.1%)

Memory
34.4MiB live, 73.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02749
16045
219845
355545
4260145
5416245
6517245
7527945
8532545
9535445
10542045
11619045
12693245
13744745
14749545
15755545
16769545
17796845
0800345
Stop Event
iter limit
node limit
Counts
11 → 11
Calls
Call 1
Inputs
(/ y x)
(/ x (pow y 2))
(/ (pow y 2) x)
(* (/ 1 x) (sqrt y))
(pow x 2)
(* x (pow y 2))
(pow y 2)
(* -1 (/ (* y (pow (sqrt -1) 2)) x))
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))
(* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) x))
(* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt y)))
Outputs
(/ y x)
(/.f64 y x)
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ (pow y 2) x)
(*.f64 (/.f64 y x) y)
(* (/ 1 x) (sqrt y))
(/.f64 (sqrt.f64 y) x)
(pow x 2)
(*.f64 x x)
(* x (pow y 2))
(*.f64 (*.f64 x y) y)
(pow y 2)
(*.f64 y y)
(* -1 (/ (* y (pow (sqrt -1) 2)) x))
(/.f64 y x)
(* -1 (/ x (* (pow y 2) (pow (sqrt -1) 2))))
(/.f64 x (*.f64 y y))
(* -1 (/ (* (pow y 2) (pow (sqrt -1) 2)) x))
(*.f64 (/.f64 y x) y)
(* -1 (* (/ (pow (sqrt -1) 2) x) (sqrt y)))
(/.f64 (sqrt.f64 y) x)

rewrite198.0ms (5.7%)

Memory
-5.2MiB live, 115.8MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01251
02153
16833
232033
3209933
0844133
Stop Event
iter limit
node limit
iter limit
Counts
8 → 695
Calls
Call 1
Inputs
(*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y))
(*.f64 (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y)
(/.f64 (sqrt.f64 y) x)
(/.f64 (*.f64 x x) (*.f64 (*.f64 y y) x))
(*.f64 x x)
(*.f64 (*.f64 y y) x)
(*.f64 y y)
Outputs
(*.f64 (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 y)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 y)))
(*.f64 (*.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal -1/2 binary64)) (pow.f64 y #s(literal 1/4 binary64))) (*.f64 (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal -1/2 binary64)) (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal -1/2 binary64))) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 (/.f64 x (sqrt.f64 y)) #s(literal -1/2 binary64))))
(*.f64 (*.f64 (sqrt.f64 y) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (sqrt.f64 y) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 y) x) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (/.f64 (pow.f64 y #s(literal 1/4 binary64)) x) (pow.f64 y #s(literal 3/4 binary64)))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 y)) x) (neg.f64 (sqrt.f64 y)))
(*.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 y) x)))
(*.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64))
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 x y) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) y)
(*.f64 (neg.f64 (sqrt.f64 y)) (/.f64 (neg.f64 (sqrt.f64 y)) x))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x))
(*.f64 #s(literal 1 binary64) (/.f64 y x))
(*.f64 (/.f64 y x) #s(literal 1 binary64))
(*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y))
(*.f64 x (*.f64 y (pow.f64 x #s(literal -2 binary64))))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) x))
(*.f64 y (pow.f64 x #s(literal -1 binary64)))
(pow.f64 (/.f64 x y) #s(literal -1 binary64))
(pow.f64 (/.f64 y x) #s(literal 1 binary64))
(/.f64 (/.f64 (neg.f64 (sqrt.f64 y)) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 y)))
(/.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64))
(/.f64 (neg.f64 y) (neg.f64 x))
(/.f64 (*.f64 x y) (*.f64 x x))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (neg.f64 x) (neg.f64 (*.f64 x (/.f64 x y))))
(/.f64 (neg.f64 (sqrt.f64 y)) (/.f64 (neg.f64 x) (sqrt.f64 y)))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y))
(/.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 (/.f64 y x) #s(literal 1 binary64))
(/.f64 (/.f64 (sqrt.f64 y) x) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 x (*.f64 x (/.f64 x y)))
(/.f64 (sqrt.f64 y) (/.f64 x (sqrt.f64 y)))
(/.f64 y x)
(neg.f64 (/.f64 (neg.f64 y) x))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x (/.f64 x y))) (/.f64 (neg.f64 x) (*.f64 x (/.f64 x y))))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 (neg.f64 (sqrt.f64 y)) x) (pow.f64 y #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 x (sqrt.f64 y))) (/.f64 (neg.f64 y) x))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) (sqrt.f64 y))) (/.f64 (neg.f64 y) x))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) x))
(exp.f64 (-.f64 (log.f64 (/.f64 (sqrt.f64 y) x)) (neg.f64 (log.f64 (sqrt.f64 y)))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal -1 binary64)))
(exp.f64 (log.f64 (/.f64 y x)))
(*.f64 (*.f64 (/.f64 x y) (pow.f64 x #s(literal -1/2 binary64))) (*.f64 (/.f64 x y) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) (neg.f64 x)) (*.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) (neg.f64 x)))
(*.f64 (*.f64 (neg.f64 x) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) (*.f64 (neg.f64 x) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))))
(*.f64 (*.f64 x (pow.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))) (*.f64 x (pow.f64 (*.f64 (*.f64 y y) x) #s(literal -1/2 binary64))))
(*.f64 (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (pow.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)) (pow.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (neg.f64 x) x) y) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y))
(*.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (neg.f64 (pow.f64 y #s(literal -2 binary64))) (neg.f64 x))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))
(*.f64 (neg.f64 (*.f64 x (/.f64 x y))) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(*.f64 (*.f64 (/.f64 x y) x) (pow.f64 (*.f64 x y) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 x (/.f64 x y)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(*.f64 (/.f64 (/.f64 x (sqrt.f64 y)) y) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (/.f64 x (sqrt.f64 y)) y))
(*.f64 (*.f64 x (/.f64 x y)) (pow.f64 (*.f64 x y) #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 x)) #s(literal -1 binary64))
(*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (sqrt.f64 x)) (*.f64 (pow.f64 y #s(literal -1 binary64)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 x)) (*.f64 (neg.f64 x) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64))))
(*.f64 (pow.f64 y #s(literal -2 binary64)) x)
(*.f64 (/.f64 x y) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (neg.f64 x) (sqrt.f64 y)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -3/2 binary64))))
(*.f64 (pow.f64 y #s(literal -3/2 binary64)) (/.f64 x (sqrt.f64 y)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x y))
(*.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (/.f64 y x) #s(literal -2 binary64)))
(*.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) x) (*.f64 x x))
(*.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal -3/2 binary64)))
(*.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (neg.f64 (pow.f64 y #s(literal -2 binary64))))
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x y) #s(literal -2 binary64)) (neg.f64 x))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 x)))
(*.f64 (*.f64 x x) (/.f64 (pow.f64 y #s(literal -2 binary64)) x))
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y y)))
(*.f64 x (pow.f64 y #s(literal -2 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (*.f64 (/.f64 y x) y)))
(pow.f64 (pow.f64 (/.f64 x (*.f64 y y)) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(pow.f64 (*.f64 (/.f64 y x) y) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 x)) (*.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 x)))) (*.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 x)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 x)) (*.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 x)) (*.f64 #s(literal 0 binary64) (*.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 x))))))
(/.f64 (neg.f64 (/.f64 (*.f64 (neg.f64 x) x) y)) (*.f64 x y))
(/.f64 (neg.f64 (/.f64 (/.f64 x (sqrt.f64 y)) y)) (neg.f64 (sqrt.f64 y)))
(/.f64 (neg.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 y x))
(/.f64 (neg.f64 (*.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal -1 binary64))) x)
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) y)) (/.f64 y x))
(/.f64 (neg.f64 (*.f64 (*.f64 x (/.f64 x y)) #s(literal -1 binary64))) (*.f64 x y))
(/.f64 (neg.f64 (*.f64 (/.f64 x y) x)) (*.f64 (neg.f64 y) x))
(/.f64 (neg.f64 (pow.f64 y #s(literal -3/2 binary64))) (/.f64 (neg.f64 (sqrt.f64 y)) x))
(/.f64 (neg.f64 (neg.f64 (*.f64 x (/.f64 x y)))) (*.f64 x y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x y) #s(literal -2 binary64))) (*.f64 y y)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) (pow.f64 (/.f64 x y) #s(literal -2 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 y) x) y)) (*.f64 (*.f64 (neg.f64 y) x) y)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) (*.f64 (/.f64 (neg.f64 y) x) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) (/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) x)))) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) (sqrt.f64 y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 y) x)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -3/2 binary64))))) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) (/.f64 (sqrt.f64 y) x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) x)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) (/.f64 #s(literal -1 binary64) (sqrt.f64 y)))) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 x y)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) (/.f64 (*.f64 (neg.f64 x) x) y))) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) (*.f64 x y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) (neg.f64 x))) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) (*.f64 y y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) (neg.f64 (pow.f64 y #s(literal -2 binary64))))) (*.f64 (neg.f64 y) y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y x)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) (/.f64 #s(literal -1 binary64) y))) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) (/.f64 y x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) (/.f64 (neg.f64 x) y))) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) x)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) (*.f64 x (/.f64 x y)))) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) (*.f64 (neg.f64 y) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) (*.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 x)))) (*.f64 (*.f64 (neg.f64 y) x) y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) (/.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 x)))) (*.f64 (/.f64 (neg.f64 y) x) y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) (/.f64 x y))) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) (neg.f64 y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) (neg.f64 (pow.f64 (/.f64 y x) #s(literal -2 binary64))))) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3/2 binary64))) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) (/.f64 (neg.f64 x) (sqrt.f64 y)))) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) (pow.f64 y #s(literal 3/2 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) x)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) (pow.f64 y #s(literal -1 binary64)))) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) (/.f64 (neg.f64 y) x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) (pow.f64 (/.f64 y x) #s(literal -2 binary64)))) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 y #s(literal 3/2 binary64)))) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) (/.f64 x (sqrt.f64 y)))) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) (neg.f64 (pow.f64 y #s(literal 3/2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) (*.f64 (neg.f64 x) x))) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) (*.f64 (*.f64 y y) x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 y) x) y)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) (*.f64 x x))) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) y)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) (*.f64 (neg.f64 y) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) x)))) (*.f64 (*.f64 (neg.f64 y) y) (sqrt.f64 y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 y) x)) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -3/2 binary64))))) (*.f64 (*.f64 (neg.f64 y) y) (/.f64 (sqrt.f64 y) x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) x)) (*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) (sqrt.f64 y)))) (*.f64 (*.f64 (neg.f64 y) y) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 x y)) (*.f64 (*.f64 (neg.f64 y) y) (/.f64 (*.f64 (neg.f64 x) x) y))) (*.f64 (*.f64 (neg.f64 y) y) (*.f64 x y)))
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(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(/.f64 x (pow.f64 x #s(literal -1 binary64)))
(neg.f64 (*.f64 (neg.f64 x) x))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x))
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x x))
(*.f64 (*.f64 y (sqrt.f64 x)) (*.f64 y (sqrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) y))
(*.f64 (*.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) x))
(*.f64 (*.f64 (neg.f64 y) y) (neg.f64 x))
(*.f64 (*.f64 x y) y)
(*.f64 (neg.f64 x) (*.f64 (neg.f64 y) y))
(*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 y) x) y))
(*.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64))
(*.f64 (*.f64 y y) x)
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x))
(*.f64 x (*.f64 y y))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (*.f64 x y)))
(*.f64 y (*.f64 x y))
(pow.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) x) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (*.f64 (neg.f64 y) x) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x x) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 y) x) y)))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 y) x) y))
(/.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) y))
(/.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 x y) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (neg.f64 x) (neg.f64 (pow.f64 y #s(literal -2 binary64))))
(/.f64 (*.f64 (*.f64 (neg.f64 y) x) y) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 x)))
(/.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64))
(/.f64 (*.f64 y y) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 y #s(literal -2 binary64)) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -2 binary64)) x))
(/.f64 x (pow.f64 y #s(literal -2 binary64)))
(neg.f64 (*.f64 (*.f64 (neg.f64 y) x) y))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -2 binary64))) (*.f64 (*.f64 (neg.f64 y) x) y))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 y) x) y))
(exp.f64 (-.f64 (log.f64 x) (neg.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))))
(exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) (neg.f64 (log.f64 x))))
(exp.f64 (neg.f64 (*.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) (log.f64 x)) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) (log.f64 x)))
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 y) x) (neg.f64 y)))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (sqrt.f64 y)) (*.f64 (sqrt.f64 y) (*.f64 (neg.f64 y) x))))
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 (*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 y #s(literal 1/4 binary64))) (*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 y #s(literal 1/4 binary64)))) (sqrt.f64 y))
(*.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 7/4 binary64)))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 y))
(*.f64 (*.f64 x y) (/.f64 y x))
(*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) y))
(*.f64 (*.f64 (*.f64 y y) x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (*.f64 y y) #s(literal 1 binary64))
(*.f64 (*.f64 x x) (pow.f64 (/.f64 x y) #s(literal -2 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 y y))
(*.f64 x (*.f64 (/.f64 y x) y))
(*.f64 (sqrt.f64 y) (*.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 y))) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 y)))))
(*.f64 (sqrt.f64 y) (pow.f64 y #s(literal 3/2 binary64)))
(*.f64 y y)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y))
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 8 binary64))
(pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 4 binary64))
(pow.f64 y #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 y) x) (/.f64 (neg.f64 x) y))
(/.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 y)))
(/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) y))
(/.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64))
(/.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 (*.f64 x y) (/.f64 x y))
(/.f64 (neg.f64 x) (*.f64 (pow.f64 y #s(literal -2 binary64)) (neg.f64 x)))
(/.f64 (*.f64 (*.f64 (neg.f64 y) x) y) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 y #s(literal -2 binary64))))
(/.f64 (*.f64 (*.f64 y y) x) x)
(/.f64 (*.f64 y y) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64)))
(/.f64 x (/.f64 x (*.f64 y y)))
(/.f64 (sqrt.f64 y) (pow.f64 y #s(literal -3/2 binary64)))
(/.f64 y (pow.f64 y #s(literal -1 binary64)))
(neg.f64 (*.f64 (neg.f64 y) y))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) (/.f64 x (*.f64 y y))))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
(exp.f64 (-.f64 (log.f64 x) (log.f64 (/.f64 x (*.f64 y y)))))
(exp.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 y)) (neg.f64 (log.f64 (sqrt.f64 y)))))
(exp.f64 (-.f64 (log.f64 y) (*.f64 (log.f64 y) #s(literal -1 binary64))))
(exp.f64 (neg.f64 (neg.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal 4 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))

eval317.0ms (9.1%)

Memory
-20.3MiB live, 96.9MiB allocated
Compiler

Compiled 7 341 to 1 593 computations (78.3% saved)

prune147.0ms (4.2%)

Memory
-6.6MiB live, 32.5MiB allocated
Pruning

9 alts after pruning (2 fresh and 7 done)

PrunedKeptTotal
New5282530
Fresh000
Picked112
Done268
Total5319540
Accuracy
100.0%
Counts
540 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.f64 (/.f64 x y) y)
99.7%
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x))
76.5%
(/.f64 (*.f64 (/.f64 x y) x) (*.f64 x y))
99.7%
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) y)
67.6%
(/.f64 (*.f64 x x) (*.f64 (*.f64 x y) y))
89.9%
(/.f64 x (*.f64 y y))
99.5%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
99.4%
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y))
99.7%
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))
Compiler

Compiled 184 to 98 computations (46.7% saved)

regimes17.0ms (0.5%)

Memory
29.2MiB live, 29.2MiB allocated
Counts
14 → 1
Calls
Call 1
Inputs
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 (*.f64 x x) (*.f64 (*.f64 x y) y))
(/.f64 (*.f64 x x) (*.f64 (*.f64 y y) x))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) y))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 y) x) y))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x)) y)
(/.f64 (*.f64 (/.f64 x y) x) (*.f64 x y))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x))
(/.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (/.f64 #s(literal -1 binary64) x) y))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y))
(*.f64 (/.f64 (/.f64 x y) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
Outputs
(/.f64 (/.f64 x y) y)
Calls

4 calls:

4.0ms
x
4.0ms
y
4.0ms
(*.f64 y y)
4.0ms
(/.f64 x (*.f64 y y))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1(/.f64 x (*.f64 y y))
99.8%1(*.f64 y y)
Compiler

Compiled 10 to 11 computations (-10% saved)

regimes4.0ms (0.1%)

Memory
8.6MiB live, 8.6MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 x (*.f64 y y))
Outputs
(/.f64 x (*.f64 y y))
Calls

4 calls:

1.0ms
y
1.0ms
x
1.0ms
(*.f64 y y)
1.0ms
(/.f64 x (*.f64 y y))
Results
AccuracySegmentsBranch
89.9%1x
89.9%1y
89.9%1(/.f64 x (*.f64 y y))
89.9%1(*.f64 y y)
Compiler

Compiled 10 to 11 computations (-10% saved)

simplify145.0ms (4.2%)

Memory
-24.9MiB live, 13.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 x y) y)
(/.f64 x (*.f64 y y))
Outputs
(/.f64 (/.f64 x y) y)
(/.f64 x (*.f64 y y))

soundness186.0ms (5.3%)

Memory
-11.5MiB live, 71.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048
068
1188
2778
33628
021588
Stop Event
fuel
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 20 to 12 computations (40% saved)

preprocess34.0ms (1%)

Memory
4.7MiB live, 81.5MiB allocated
Remove

(negabs x)

(abs y)

Compiler

Compiled 80 to 60 computations (25% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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