Data.HyperLogLog.Config:hll from hyperloglog-0.3.4

Time bar (total: 3.3s)

start0.0ms (0%)

Memory
0.2MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 7 to 6 computations (14.3% saved)

sample626.0ms (19.2%)

Memory
-14.2MiB live, 762.9MiB allocated
Samples
388.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 148.0ms
ival-mult: 138.0ms (93.2% of total)
ival-true: 6.0ms (4.1% of total)
ival-assert: 4.0ms (2.7% of total)
Bogosity

explain47.0ms (1.4%)

Memory
-18.7MiB live, 81.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-y
00-0-(*.f64 (*.f64 x y) y)
00-0-(*.f64 x y)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
25.0ms512×0valid
Compiler

Compiled 29 to 16 computations (44.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 7.0ms (97% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess22.0ms (0.7%)

Memory
-8.7MiB live, 37.3MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01231
13627
28327
313827
421327
527227
045
065
1105
2155
3365
4725
51045
61265
71405
01405
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 x y) y)
Outputs
(*.f64 (*.f64 x y) y)
(*.f64 (*.f64 y y) x)
Symmetry

(abs y)

(negabs x)

Compiler

Compiled 5 to 4 computations (20% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(*.f64 (*.f64 x y) y)
Compiler

Compiled 5 to 4 computations (20% saved)

simplify5.0ms (0.2%)

Memory
6.4MiB live, 6.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0410
0610
11010
21510
33610
47210
510410
612610
714010
014010
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 x y) y)
(*.f64 x y)
x
y
Outputs
(*.f64 (*.f64 x y) y)
(*.f64 (*.f64 y y) x)
(*.f64 x y)
(*.f64 y x)
x
y

localize12.0ms (0.4%)

Memory
24.1MiB live, 24.1MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x y)
accuracy0.09765625
(*.f64 (*.f64 x y) y)
Samples
8.0ms256×0valid
Compiler

Compiled 12 to 6 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 3.0ms (90.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.2%)

Memory
-35.6MiB live, 10.6MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
(*.f64 (*.f64 x y) y)
(*.f64 x y)
Outputs
(* x (pow y 2))
(* x y)
Calls

6 calls:

TimeVariablePointExpression
3.0ms
y
@-inf
((* (* x y) y) (* x y))
1.0ms
x
@-inf
((* (* x y) y) (* x y))
1.0ms
x
@0
((* (* x y) y) (* x y))
1.0ms
x
@inf
((* (* x y) y) (* x y))
1.0ms
y
@0
((* (* x y) y) (* x y))

simplify5.0ms (0.1%)

Memory
7.9MiB live, 7.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
1118
2198
3408
4808
51128
61348
71488
01488
Stop Event
1×iter limit
1×saturated
Counts
2 → 2
Calls
Call 1
Inputs
(* x (pow y 2))
(* x y)
Outputs
(* x (pow y 2))
(*.f64 (*.f64 y x) y)
(* x y)
(*.f64 y x)

rewrite156.0ms (4.8%)

Memory
19.1MiB live, 166.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048
068
1108
2178
3488
41378
53778
617038
090198
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
2 → 89
Calls
Call 1
Inputs
(*.f64 (*.f64 x y) y)
(*.f64 x y)
Outputs
(*.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 (neg.f64 x) (sqrt.f64 y)) (pow.f64 y #s(literal 3/2 binary64)))
(*.f64 (neg.f64 (neg.f64 x)) (*.f64 y y))
(*.f64 (*.f64 (sqrt.f64 y) x) (pow.f64 y #s(literal 3/2 binary64)))
(*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (sqrt.f64 y))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 y) (neg.f64 x)))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 y) x))
(*.f64 (neg.f64 x) (*.f64 y 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 (sqrt.f64 y) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x))
(*.f64 (*.f64 y y) (neg.f64 (neg.f64 x)))
(*.f64 (*.f64 y y) (neg.f64 x))
(*.f64 (*.f64 y y) x)
(*.f64 (*.f64 y x) y)
(*.f64 y (*.f64 y x))
(*.f64 x (*.f64 y y))
(/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 y y) (pow.f64 y #s(literal -2 binary64))) x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 y y (pow.f64 y #s(literal -2 binary64))) x))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 y y) (pow.f64 y #s(literal -2 binary64))) x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 y y (pow.f64 y #s(literal -2 binary64)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 x (-.f64 (*.f64 y y) (pow.f64 y #s(literal -2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 y y (pow.f64 y #s(literal -2 binary64))) x))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 x (-.f64 (*.f64 y y) (pow.f64 y #s(literal -2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 y y (pow.f64 y #s(literal -2 binary64)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (fma.f64 y y (pow.f64 y #s(literal -2 binary64))) x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (*.f64 y y) (pow.f64 y #s(literal -2 binary64))) x))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (fma.f64 y y (pow.f64 y #s(literal -2 binary64))) x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 y y) (pow.f64 y #s(literal -2 binary64)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 x (fma.f64 y y (pow.f64 y #s(literal -2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (*.f64 y y) (pow.f64 y #s(literal -2 binary64))) x))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 x (fma.f64 y y (pow.f64 y #s(literal -2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 y y) (pow.f64 y #s(literal -2 binary64)))))) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (pow.f64 y #s(literal -2 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) #s(literal 3 binary64))) (neg.f64 x)) (-.f64 (cosh.f64 (*.f64 #s(literal 4 binary64) (log.f64 y))) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))))))
(/.f64 (*.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal -2 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) #s(literal 3 binary64))) x) (-.f64 (cosh.f64 (*.f64 #s(literal 4 binary64) (log.f64 y))) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))))))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64)))
(/.f64 (*.f64 (neg.f64 x) (+.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (*.f64 #s(literal 4 binary64) (log.f64 y))) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))))))
(/.f64 (*.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64)))
(/.f64 (*.f64 x (+.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (*.f64 #s(literal 4 binary64) (log.f64 y))) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) x) #s(literal 2 binary64))) (-.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) x) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) x) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) x) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) x)))))
(neg.f64 (*.f64 (*.f64 y y) x))
(fma.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (cosh.f64 (log.f64 y)) (sinh.f64 (log.f64 y))) (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) x))
(fma.f64 (neg.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y)))) (neg.f64 x) (*.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) (neg.f64 x)))
(fma.f64 (neg.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y)))) x (*.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) x))
(fma.f64 (neg.f64 x) (neg.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y)))) (*.f64 (neg.f64 x) (sinh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y)))))
(fma.f64 (neg.f64 x) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (*.f64 (neg.f64 x) (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y)))))
(fma.f64 (neg.f64 x) (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) (*.f64 (neg.f64 x) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))))
(fma.f64 (cosh.f64 (log.f64 y)) (*.f64 y x) (*.f64 (sinh.f64 (log.f64 y)) (*.f64 y x)))
(fma.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (neg.f64 x) (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) (neg.f64 x)))
(fma.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) x (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) x))
(fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) (neg.f64 x) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (neg.f64 x)))
(fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) x (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) x))
(fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 (cosh.f64 (log.f64 y)) (sinh.f64 (log.f64 y))) x) (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) x))
(fma.f64 (*.f64 y x) (cosh.f64 (log.f64 y)) (*.f64 (*.f64 y x) (sinh.f64 (log.f64 y))))
(fma.f64 x (neg.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y)))) (*.f64 x (sinh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y)))))
(fma.f64 x (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) x))
(fma.f64 x (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) x))
(-.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) x) (*.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) x))
(-.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) x) (*.f64 (neg.f64 x) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))))
(+.f64 (*.f64 (neg.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y)))) (neg.f64 x)) (*.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) (neg.f64 x)))
(+.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (neg.f64 x)) (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) (neg.f64 x)))
(+.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) (neg.f64 x)) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (neg.f64 x)))
(+.f64 (*.f64 (cosh.f64 (log.f64 y)) (*.f64 y x)) (*.f64 (sinh.f64 (log.f64 y)) (*.f64 y x)))
(+.f64 (*.f64 (neg.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y)))) x) (*.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) x))
(+.f64 (*.f64 (neg.f64 x) (neg.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))))) (*.f64 (neg.f64 x) (sinh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y)))))
(+.f64 (*.f64 (neg.f64 x) (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y)))) (*.f64 (neg.f64 x) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 y x) (cosh.f64 (log.f64 y))) (*.f64 (*.f64 y x) (sinh.f64 (log.f64 y))))
(+.f64 (*.f64 x (neg.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))))) (*.f64 x (sinh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y)))))
(+.f64 (neg.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) x)) (neg.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) x)))
(+.f64 (*.f64 (neg.f64 x) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) (*.f64 (neg.f64 x) (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y)))))
(+.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) x))
(+.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) x) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) x))
(*.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 (neg.f64 x) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (neg.f64 (*.f64 (sqrt.f64 y) x)) (sqrt.f64 y))
(*.f64 (neg.f64 (neg.f64 x)) y)
(*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y))
(*.f64 (neg.f64 x) y)
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 y) x)))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (neg.f64 x)))
(*.f64 (sqrt.f64 y) (neg.f64 (*.f64 (sqrt.f64 y) x)))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x))
(*.f64 y (neg.f64 (neg.f64 x)))
(*.f64 y (neg.f64 x))
(*.f64 y x)
(*.f64 x y)
(neg.f64 (*.f64 y x))
(fma.f64 (neg.f64 x) (cosh.f64 (log.f64 y)) (*.f64 (neg.f64 x) (sinh.f64 (log.f64 y))))
(fma.f64 (cosh.f64 (log.f64 y)) (neg.f64 x) (*.f64 (sinh.f64 (log.f64 y)) (neg.f64 x)))
(fma.f64 (cosh.f64 (log.f64 y)) x (*.f64 (sinh.f64 (log.f64 y)) x))
(fma.f64 x (cosh.f64 (log.f64 y)) (*.f64 x (sinh.f64 (log.f64 y))))
(+.f64 (*.f64 (cosh.f64 (log.f64 y)) (neg.f64 x)) (*.f64 (sinh.f64 (log.f64 y)) (neg.f64 x)))
(+.f64 (*.f64 (cosh.f64 (log.f64 y)) x) (*.f64 (sinh.f64 (log.f64 y)) x))
(+.f64 (*.f64 (neg.f64 x) (cosh.f64 (log.f64 y))) (*.f64 (neg.f64 x) (sinh.f64 (log.f64 y))))
(+.f64 (*.f64 x (cosh.f64 (log.f64 y))) (*.f64 x (sinh.f64 (log.f64 y))))

eval12.0ms (0.4%)

Memory
-26.6MiB live, 17.7MiB allocated
Compiler

Compiled 1 322 to 224 computations (83.1% saved)

prune5.0ms (0.1%)

Memory
14.0MiB live, 14.0MiB allocated
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New86591
Fresh000
Picked011
Done000
Total86692
Accuracy
100.0%
Counts
92 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶89.9%
(/.f64 (*.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64)))
▶96.5%
(*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (sqrt.f64 y))
▶99.6%
(*.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 y) x))) y)
▶99.5%
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y)
▶89.7%
(*.f64 (*.f64 y y) x)
✓99.8%
(*.f64 (*.f64 x y) y)
Compiler

Compiled 91 to 70 computations (23.1% saved)

simplify170.0ms (5.2%)

Memory
7.2MiB live, 53.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 y)
cost-diff0
(pow.f64 y #s(literal 3/2 binary64))
cost-diff0
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) x)
cost-diff3
(*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (sqrt.f64 y))
cost-diff0
(pow.f64 y #s(literal -2 binary64))
cost-diff0
(/.f64 (*.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64)))
cost-diff2
(*.f64 x #s(literal 1 binary64))
cost-diff0
(sqrt.f64 y)
cost-diff0
(*.f64 (sqrt.f64 y) x)
cost-diff0
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y)
cost-diff4
(*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y))
cost-diff0
(*.f64 y y)
cost-diff0
(*.f64 (*.f64 y y) x)
cost-diff0
(pow.f64 y #s(literal 1/4 binary64))
cost-diff0
(*.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 y) x))) y)
cost-diff1
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 y) x))
cost-diff8
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 y) x)))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
022118
038139
171115
218185
344784
4144684
5307084
6352284
7357784
8361684
9362484
10363284
11378884
12379484
13379684
14379684
15379684
16379684
17580584
18580784
19580784
0580784
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 y) x))) y)
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 y) x)))
(pow.f64 y #s(literal 1/4 binary64))
y
#s(literal 1/4 binary64)
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 y) x))
(*.f64 (sqrt.f64 y) x)
(sqrt.f64 y)
x
(*.f64 (*.f64 y y) x)
(*.f64 y y)
y
x
(*.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 #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64)))
(*.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(pow.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
(*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (sqrt.f64 y))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) x)
(pow.f64 y #s(literal 3/2 binary64))
y
#s(literal 3/2 binary64)
x
(sqrt.f64 y)
Outputs
(*.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 y) x))) y)
(*.f64 (*.f64 x y) y)
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 y) x)))
(*.f64 x y)
(pow.f64 y #s(literal 1/4 binary64))
y
#s(literal 1/4 binary64)
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 y) x))
(*.f64 (pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 3 binary64)) x)
(*.f64 (sqrt.f64 y) x)
(*.f64 x (sqrt.f64 y))
(sqrt.f64 y)
x
(*.f64 (*.f64 y y) x)
(*.f64 (*.f64 x y) y)
(*.f64 y y)
y
x
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y)
(*.f64 (*.f64 x y) y)
(*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y))
(*.f64 x y)
(*.f64 (sqrt.f64 y) x)
(*.f64 x (sqrt.f64 y))
(sqrt.f64 y)
y
x
(/.f64 (*.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64)))
(/.f64 x (pow.f64 y #s(literal -2 binary64)))
(*.f64 x #s(literal 1 binary64))
x
x
#s(literal 1 binary64)
(pow.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
(*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (sqrt.f64 y))
(*.f64 (*.f64 x y) y)
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) x)
(pow.f64 y #s(literal 3/2 binary64))
y
#s(literal 3/2 binary64)
x
(sqrt.f64 y)

localize96.0ms (2.9%)

Memory
0.2MiB live, 99.8MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(pow.f64 y #s(literal 3/2 binary64))
accuracy0.0
(sqrt.f64 y)
accuracy0.1640625
(*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (sqrt.f64 y))
accuracy7.944630553147706
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) x)
accuracy0.0
(pow.f64 y #s(literal -2 binary64))
accuracy0.0
(*.f64 x #s(literal 1 binary64))
accuracy6.459171418874923
(/.f64 (*.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64)))
accuracy0.0
(sqrt.f64 y)
accuracy0.09765625
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y)
accuracy0.234375
(*.f64 (sqrt.f64 y) x)
accuracy0.2421875
(*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y))
accuracy0.0
(*.f64 y y)
accuracy6.596806672562557
(*.f64 (*.f64 y y) x)
accuracy0.09765625
(*.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 y) x))) y)
accuracy0.22265625
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 y) x)))
accuracy0.234375
(*.f64 (sqrt.f64 y) x)
accuracy0.30859375
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 y) x))
Samples
58.0ms256×0valid
Compiler

Compiled 120 to 24 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-mult: 26.0ms (59.1% of total)
ival-pow: 14.0ms (31.8% of total)
ival-div: 2.0ms (4.5% of total)
ival-sqrt: 2.0ms (4.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series150.0ms (4.6%)

Memory
25.9MiB live, 257.5MiB allocated
Counts
16 → 20
Calls
Call 1
Inputs
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 y) x)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 y) x))
(*.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 y) x))) y)
(pow.f64 y #s(literal 1/4 binary64))
(*.f64 (*.f64 y y) x)
(*.f64 y y)
(*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y))
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y)
(*.f64 (sqrt.f64 y) x)
(sqrt.f64 y)
(*.f64 x #s(literal 1 binary64))
(/.f64 (*.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64)))
(pow.f64 y #s(literal -2 binary64))
(*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (sqrt.f64 y))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) x)
(pow.f64 y #s(literal 3/2 binary64))
Outputs
(* x y)
(* (pow (* 1 (pow y 3)) 1/4) x)
(* x (pow y 2))
(* x (sqrt y))
x
(* x (sqrt (pow y 3)))
(pow (* 1 y) 1/4)
(pow y 2)
(sqrt y)
(/ 1 (pow y 2))
(sqrt (pow y 3))
(* -1 (* x (* y (pow (sqrt -1) 2))))
(* x (* (exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 y)))))) (sqrt -1)))
(* -1 (* x (* (pow y 2) (pow (sqrt -1) 2))))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y))))))
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt y)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* x (* (pow y 2) (pow (sqrt -1) 2)))
(* (* x (pow (sqrt -1) 2)) (sqrt (pow y 3)))
(* (sqrt (pow y 3)) (pow (sqrt -1) 2))
Calls

6 calls:

TimeVariablePointExpression
47.0ms
x
@0
((* (pow y 1/4) (* (pow y 1/4) (* (sqrt y) x))) (* (pow y 1/4) (* (sqrt y) x)) (* (* (pow y 1/4) (* (pow y 1/4) (* (sqrt y) x))) y) (pow y 1/4) (* (* y y) x) (* y y) (* (* (sqrt y) x) (sqrt y)) (* (* (* (sqrt y) x) (sqrt y)) y) (* (sqrt y) x) (sqrt y) (* x 1) (/ (* x 1) (pow y -2)) (pow y -2) (* (* (pow y 3/2) x) (sqrt y)) (* (pow y 3/2) x) (pow y 3/2))
41.0ms
y
@-inf
((* (pow y 1/4) (* (pow y 1/4) (* (sqrt y) x))) (* (pow y 1/4) (* (sqrt y) x)) (* (* (pow y 1/4) (* (pow y 1/4) (* (sqrt y) x))) y) (pow y 1/4) (* (* y y) x) (* y y) (* (* (sqrt y) x) (sqrt y)) (* (* (* (sqrt y) x) (sqrt y)) y) (* (sqrt y) x) (sqrt y) (* x 1) (/ (* x 1) (pow y -2)) (pow y -2) (* (* (pow y 3/2) x) (sqrt y)) (* (pow y 3/2) x) (pow y 3/2))
24.0ms
y
@0
((* (pow y 1/4) (* (pow y 1/4) (* (sqrt y) x))) (* (pow y 1/4) (* (sqrt y) x)) (* (* (pow y 1/4) (* (pow y 1/4) (* (sqrt y) x))) y) (pow y 1/4) (* (* y y) x) (* y y) (* (* (sqrt y) x) (sqrt y)) (* (* (* (sqrt y) x) (sqrt y)) y) (* (sqrt y) x) (sqrt y) (* x 1) (/ (* x 1) (pow y -2)) (pow y -2) (* (* (pow y 3/2) x) (sqrt y)) (* (pow y 3/2) x) (pow y 3/2))
19.0ms
y
@inf
((* (pow y 1/4) (* (pow y 1/4) (* (sqrt y) x))) (* (pow y 1/4) (* (sqrt y) x)) (* (* (pow y 1/4) (* (pow y 1/4) (* (sqrt y) x))) y) (pow y 1/4) (* (* y y) x) (* y y) (* (* (sqrt y) x) (sqrt y)) (* (* (* (sqrt y) x) (sqrt y)) y) (* (sqrt y) x) (sqrt y) (* x 1) (/ (* x 1) (pow y -2)) (pow y -2) (* (* (pow y 3/2) x) (sqrt y)) (* (pow y 3/2) x) (pow y 3/2))
9.0ms
x
@-inf
((* (pow y 1/4) (* (pow y 1/4) (* (sqrt y) x))) (* (pow y 1/4) (* (sqrt y) x)) (* (* (pow y 1/4) (* (pow y 1/4) (* (sqrt y) x))) y) (pow y 1/4) (* (* y y) x) (* y y) (* (* (sqrt y) x) (sqrt y)) (* (* (* (sqrt y) x) (sqrt y)) y) (* (sqrt y) x) (sqrt y) (* x 1) (/ (* x 1) (pow y -2)) (pow y -2) (* (* (pow y 3/2) x) (sqrt y)) (* (pow y 3/2) x) (pow y 3/2))

simplify121.0ms (3.7%)

Memory
-3.9MiB live, 182.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
050107
113196
241592
3109092
4245688
0843988
Stop Event
1×iter limit
1×node limit
Counts
20 → 19
Calls
Call 1
Inputs
(* x y)
(* (pow (* 1 (pow y 3)) 1/4) x)
(* x (pow y 2))
(* x (sqrt y))
x
(* x (sqrt (pow y 3)))
(pow (* 1 y) 1/4)
(pow y 2)
(sqrt y)
(/ 1 (pow y 2))
(sqrt (pow y 3))
(* -1 (* x (* y (pow (sqrt -1) 2))))
(* x (* (exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 y)))))) (sqrt -1)))
(* -1 (* x (* (pow y 2) (pow (sqrt -1) 2))))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y))))))
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt y)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* x (* (pow y 2) (pow (sqrt -1) 2)))
(* (* x (pow (sqrt -1) 2)) (sqrt (pow y 3)))
(* (sqrt (pow y 3)) (pow (sqrt -1) 2))
Outputs
(* x y)
(*.f64 x y)
(* (pow (* 1 (pow y 3)) 1/4) x)
(*.f64 (pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/4 binary64)) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (sqrt y))
(*.f64 (sqrt.f64 y) x)
x
(* x (sqrt (pow y 3)))
(*.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) x)
(pow (* 1 y) 1/4)
(pow.f64 y #s(literal 1/4 binary64))
(pow y 2)
(*.f64 y y)
(sqrt y)
(sqrt.f64 y)
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(sqrt (pow y 3))
(sqrt.f64 (pow.f64 y #s(literal 3 binary64)))
(* -1 (* x (* y (pow (sqrt -1) 2))))
(*.f64 x y)
(* x (* (exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 y)))))) (sqrt -1)))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/4 binary64)))
(* -1 (* x (* (pow y 2) (pow (sqrt -1) 2))))
(*.f64 (*.f64 y y) x)
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y))))))
(pow.f64 y #s(literal 1/4 binary64))
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt y)))
(*.f64 (sqrt.f64 y) x)
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(sqrt.f64 y)
(* x (* (pow y 2) (pow (sqrt -1) 2)))
(*.f64 (*.f64 (neg.f64 x) y) y)
(* (* x (pow (sqrt -1) 2)) (sqrt (pow y 3)))
(*.f64 (neg.f64 x) (sqrt.f64 (pow.f64 y #s(literal 3 binary64))))
(* (sqrt (pow y 3)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))))

rewrite168.0ms (5.2%)

Memory
20.7MiB live, 254.1MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02296
038126
19983
232460
3166460
0844060
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
16 → 1 948
Calls
Call 1
Inputs
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 y) x)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 y) x))
(*.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 y) x))) y)
(pow.f64 y #s(literal 1/4 binary64))
(*.f64 (*.f64 y y) x)
(*.f64 y y)
(*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y))
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y)
(*.f64 (sqrt.f64 y) x)
(sqrt.f64 y)
(*.f64 x #s(literal 1 binary64))
(/.f64 (*.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64)))
(pow.f64 y #s(literal -2 binary64))
(*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (sqrt.f64 y))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) x)
(pow.f64 y #s(literal 3/2 binary64))
Outputs
(*.f64 (neg.f64 (/.f64 x #s(literal 1 binary64))) y)
(*.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 7/8 binary64)) x) (pow.f64 y #s(literal 1/16 binary64)))) (pow.f64 y #s(literal 1/16 binary64)))
(*.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x) (neg.f64 (pow.f64 y #s(literal 1/8 binary64))))) (neg.f64 (pow.f64 y #s(literal 1/8 binary64))))
(*.f64 (neg.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (neg.f64 (pow.f64 y #s(literal 1/4 binary64))))) (neg.f64 (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (neg.f64 (*.f64 x (pow.f64 y #s(literal 1/4 binary64)))) (pow.f64 y #s(literal 3/4 binary64)))
(*.f64 (neg.f64 (*.f64 (pow.f64 y #s(literal 5/8 binary64)) x)) (pow.f64 y #s(literal 3/8 binary64)))
(*.f64 (neg.f64 (*.f64 (pow.f64 y #s(literal 7/8 binary64)) x)) (pow.f64 y #s(literal 1/8 binary64)))
(*.f64 (neg.f64 (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x)) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (*.f64 x (sqrt.f64 y))) (sqrt.f64 y))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 x (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 (neg.f64 x) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 x (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 x (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))))
(*.f64 (/.f64 x (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 x (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (sqrt.f64 y))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 x (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (neg.f64 x) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 x (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))))
(*.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal -1/2 binary64))) (sqrt.f64 y))
(*.f64 (neg.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64)))) (sqrt.f64 y))
(*.f64 (/.f64 x #s(literal 1 binary64)) y)
(*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 7/8 binary64)) x) (pow.f64 y #s(literal 1/16 binary64))) (pow.f64 y #s(literal 1/16 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x) (neg.f64 (pow.f64 y #s(literal 1/8 binary64)))) (neg.f64 (pow.f64 y #s(literal 1/8 binary64))))
(*.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (neg.f64 (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 3/8 binary64))) (*.f64 (pow.f64 y #s(literal 3/8 binary64)) (*.f64 x (pow.f64 y #s(literal 1/4 binary64)))))
(*.f64 (neg.f64 (pow.f64 y #s(literal 3/8 binary64))) (*.f64 (pow.f64 y #s(literal 5/8 binary64)) x))
(*.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))))
(*.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) (sqrt.f64 y))
(*.f64 (neg.f64 (sqrt.f64 y)) (/.f64 x (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (neg.f64 (sqrt.f64 y)) (*.f64 x (sqrt.f64 y)))
(*.f64 (neg.f64 (pow.f64 y #s(literal 1/16 binary64))) (*.f64 (pow.f64 y #s(literal 1/16 binary64)) (*.f64 (pow.f64 y #s(literal 7/8 binary64)) x)))
(*.f64 (*.f64 x (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 3/4 binary64)))
(*.f64 (*.f64 (pow.f64 y #s(literal 5/8 binary64)) x) (pow.f64 y #s(literal 3/8 binary64)))
(*.f64 (*.f64 (pow.f64 y #s(literal 7/8 binary64)) x) (pow.f64 y #s(literal 1/8 binary64)))
(*.f64 (pow.f64 y #s(literal 3/8 binary64)) (*.f64 (pow.f64 y #s(literal 3/8 binary64)) (*.f64 x (pow.f64 y #s(literal 1/4 binary64)))))
(*.f64 (pow.f64 y #s(literal 3/8 binary64)) (*.f64 (pow.f64 y #s(literal 5/8 binary64)) x))
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(sqrt.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))
(sqrt.f64 (pow.f64 y #s(literal 3 binary64)))
(-.f64 (/.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3/2 binary64)))) (/.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3/2 binary64)))))
(-.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) #s(literal 1 binary64)) (*.f64 (neg.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64)))) #s(literal 1 binary64)))
(-.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y)))) (*.f64 #s(literal -1 binary64) (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64)))))
(fabs.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))))
(fabs.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 3/4 binary64))) (pow.f64 y #s(literal 3/4 binary64))))
(fabs.f64 (*.f64 (pow.f64 y #s(literal 3/4 binary64)) (neg.f64 (pow.f64 y #s(literal 3/4 binary64)))))
(fabs.f64 (pow.f64 y #s(literal 3/2 binary64)))
(exp.f64 (-.f64 (log.f64 y) (*.f64 (log.f64 y) #s(literal -1/2 binary64))))
(exp.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1/4 binary64) (log.f64 y)))
(exp.f64 (+.f64 (log.f64 y) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 3/2 binary64))) (log.f64 y)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (pow.f64 y #s(literal 3/4 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal -2 binary64)) #s(literal -3/4 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64)))
(+.f64 (/.f64 (cosh.f64 (log.f64 y)) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (sinh.f64 (log.f64 y)) (pow.f64 y #s(literal -1/2 binary64))))
(+.f64 (/.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) #s(literal 3 binary64)) (+.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))))))) (/.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))))))))
(+.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) #s(literal 1 binary64)) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y)))) (*.f64 #s(literal 1 binary64) (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64)))))
(+.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))))
(+.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))))

eval246.0ms (7.5%)

Memory
-18.9MiB live, 269.4MiB allocated
Compiler

Compiled 27 789 to 4 208 computations (84.9% saved)

prune51.0ms (1.6%)

Memory
-16.5MiB live, 76.4MiB allocated
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1 46261 468
Fresh000
Picked325
Done011
Total1 46591 474
Accuracy
100.0%
Counts
1 474 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.4%
(/.f64 (*.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal -3/2 binary64)))
▶99.8%
(/.f64 (*.f64 x y) (pow.f64 y #s(literal -1 binary64)))
▶89.5%
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
▶89.3%
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal 4 binary64)) x)
✓96.5%
(*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (sqrt.f64 y))
▶96.4%
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) y) x) (sqrt.f64 y))
▶99.5%
(*.f64 (*.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
✓89.7%
(*.f64 (*.f64 y y) x)
✓99.8%
(*.f64 (*.f64 x y) y)
Compiler

Compiled 114 to 91 computations (20.2% saved)

simplify51.0ms (1.6%)

Memory
-5.2MiB live, 52.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 y)
cost-diff0
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal 4 binary64)) x)
cost-diff1
(pow.f64 (sqrt.f64 y) #s(literal 4 binary64))
cost-diff0
(sqrt.f64 y)
cost-diff0
(*.f64 (sqrt.f64 y) y)
cost-diff0
(*.f64 (*.f64 (sqrt.f64 y) y) x)
cost-diff4
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) y) x) (sqrt.f64 y))
cost-diff0
(sqrt.f64 y)
cost-diff0
(*.f64 x y)
cost-diff0
(*.f64 (*.f64 x y) (sqrt.f64 y))
cost-diff4
(*.f64 (*.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
cost-diff0
(*.f64 y y)
cost-diff0
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
cost-diff2
(/.f64 #s(literal 1 binary64) (*.f64 y y))
cost-diff2
(*.f64 x #s(literal 1 binary64))
cost-diff0
(pow.f64 y #s(literal -1 binary64))
cost-diff0
(*.f64 x y)
cost-diff2
(/.f64 (*.f64 x y) (pow.f64 y #s(literal -1 binary64)))
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
02099
03591
16591
214981
332881
466979
5117379
6130679
7130879
8130879
9130879
0130879
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) (pow.f64 y #s(literal -1 binary64)))
(*.f64 x y)
x
y
(pow.f64 y #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(*.f64 y y)
y
(*.f64 (*.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 x y) (sqrt.f64 y))
(*.f64 x y)
x
y
(sqrt.f64 y)
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) y) x) (sqrt.f64 y))
(*.f64 (*.f64 (sqrt.f64 y) y) x)
(*.f64 (sqrt.f64 y) y)
(sqrt.f64 y)
y
x
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal 4 binary64)) x)
(pow.f64 (sqrt.f64 y) #s(literal 4 binary64))
(sqrt.f64 y)
y
#s(literal 4 binary64)
x
Outputs
(/.f64 (*.f64 x y) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (*.f64 y y) x)
(*.f64 x y)
(*.f64 y x)
x
y
(pow.f64 y #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (*.f64 y y) x)
(*.f64 x #s(literal 1 binary64))
x
x
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(pow.f64 y #s(literal -2 binary64))
(*.f64 y y)
y
(*.f64 (*.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 y y) x)
(*.f64 (*.f64 x y) (sqrt.f64 y))
(*.f64 (*.f64 (sqrt.f64 y) x) y)
(*.f64 x y)
(*.f64 y x)
x
y
(sqrt.f64 y)
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) y) x) (sqrt.f64 y))
(*.f64 (*.f64 y y) x)
(*.f64 (*.f64 (sqrt.f64 y) y) x)
(*.f64 (*.f64 (sqrt.f64 y) x) y)
(*.f64 (sqrt.f64 y) y)
(sqrt.f64 y)
y
x
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal 4 binary64)) x)
(*.f64 (*.f64 y y) x)
(pow.f64 (sqrt.f64 y) #s(literal 4 binary64))
(*.f64 y y)
(sqrt.f64 y)
y
#s(literal 4 binary64)
x

localize56.0ms (1.7%)

Memory
26.4MiB live, 73.4MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(sqrt.f64 y)
accuracy0.4536478028217028
(pow.f64 (sqrt.f64 y) #s(literal 4 binary64))
accuracy6.596806672562557
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal 4 binary64)) x)
accuracy0.0
(sqrt.f64 y)
accuracy0.1640625
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) y) x) (sqrt.f64 y))
accuracy0.1796875
(*.f64 (sqrt.f64 y) y)
accuracy7.944630553147706
(*.f64 (*.f64 (sqrt.f64 y) y) x)
accuracy0.0
(*.f64 x y)
accuracy0.0
(sqrt.f64 y)
accuracy0.1640625
(*.f64 (*.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
accuracy0.20769501953688402
(*.f64 (*.f64 x y) (sqrt.f64 y))
accuracy0.0
(*.f64 y y)
accuracy0.0
(*.f64 x #s(literal 1 binary64))
accuracy0.3467814721500174
(/.f64 #s(literal 1 binary64) (*.f64 y y))
accuracy6.459171418874923
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
accuracy0.0
(*.f64 x y)
accuracy0.00390625
(pow.f64 y #s(literal -1 binary64))
accuracy0.1484375
(/.f64 (*.f64 x y) (pow.f64 y #s(literal -1 binary64)))
Samples
38.0ms256×0valid
Compiler

Compiled 101 to 22 computations (78.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 12.0ms (51.1% of total)
ival-pow: 5.0ms (21.3% of total)
ival-div: 4.0ms (17% of total)
ival-sqrt: 2.0ms (8.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series18.0ms (0.5%)

Memory
-23.0MiB live, 24.0MiB allocated
Counts
15 → 15
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) (pow.f64 y #s(literal -1 binary64)))
(*.f64 x y)
(pow.f64 y #s(literal -1 binary64))
(*.f64 x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 y y)
(*.f64 (*.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 x y) (sqrt.f64 y))
(sqrt.f64 y)
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) y) x) (sqrt.f64 y))
(*.f64 (*.f64 (sqrt.f64 y) y) x)
(*.f64 (sqrt.f64 y) y)
(pow.f64 (sqrt.f64 y) #s(literal 4 binary64))
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal 4 binary64)) x)
Outputs
(* x (pow y 2))
(* x y)
x
(* x (sqrt (pow y 3)))
(/ 1 y)
(/ 1 (pow y 2))
(pow y 2)
(sqrt y)
(sqrt (pow y 3))
(* -1 (* x (* (pow y 2) (pow (sqrt -1) 2))))
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (pow y 3))))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow y 3)) (pow (sqrt -1) 2)))
(* (pow y 2) (pow (sqrt -1) 4))
(* x (* (pow y 2) (pow (sqrt -1) 4)))
Calls

6 calls:

TimeVariablePointExpression
6.0ms
y
@0
((/ (* x y) (pow y -1)) (* x y) (pow y -1) (* x 1) (/ 1 (* y y)) (/ (* x 1) (/ 1 (* y y))) (* y y) (* (* (* x y) (sqrt y)) (sqrt y)) (* (* x y) (sqrt y)) (sqrt y) (* (* (* (sqrt y) y) x) (sqrt y)) (* (* (sqrt y) y) x) (* (sqrt y) y) (pow (sqrt y) 4) (* (pow (sqrt y) 4) x))
5.0ms
y
@-inf
((/ (* x y) (pow y -1)) (* x y) (pow y -1) (* x 1) (/ 1 (* y y)) (/ (* x 1) (/ 1 (* y y))) (* y y) (* (* (* x y) (sqrt y)) (sqrt y)) (* (* x y) (sqrt y)) (sqrt y) (* (* (* (sqrt y) y) x) (sqrt y)) (* (* (sqrt y) y) x) (* (sqrt y) y) (pow (sqrt y) 4) (* (pow (sqrt y) 4) x))
2.0ms
x
@-inf
((/ (* x y) (pow y -1)) (* x y) (pow y -1) (* x 1) (/ 1 (* y y)) (/ (* x 1) (/ 1 (* y y))) (* y y) (* (* (* x y) (sqrt y)) (sqrt y)) (* (* x y) (sqrt y)) (sqrt y) (* (* (* (sqrt y) y) x) (sqrt y)) (* (* (sqrt y) y) x) (* (sqrt y) y) (pow (sqrt y) 4) (* (pow (sqrt y) 4) x))
2.0ms
y
@inf
((/ (* x y) (pow y -1)) (* x y) (pow y -1) (* x 1) (/ 1 (* y y)) (/ (* x 1) (/ 1 (* y y))) (* y y) (* (* (* x y) (sqrt y)) (sqrt y)) (* (* x y) (sqrt y)) (sqrt y) (* (* (* (sqrt y) y) x) (sqrt y)) (* (* (sqrt y) y) x) (* (sqrt y) y) (pow (sqrt y) 4) (* (pow (sqrt y) 4) x))
1.0ms
x
@inf
((/ (* x y) (pow y -1)) (* x y) (pow y -1) (* x 1) (/ 1 (* y y)) (/ (* x 1) (/ 1 (* y y))) (* y y) (* (* (* x y) (sqrt y)) (sqrt y)) (* (* x y) (sqrt y)) (sqrt y) (* (* (* (sqrt y) y) x) (sqrt y)) (* (* (sqrt y) y) x) (* (sqrt y) y) (pow (sqrt y) 4) (* (pow (sqrt y) 4) x))

simplify91.0ms (2.8%)

Memory
1.7MiB live, 48.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03157
16957
221057
358457
4102857
5147957
6190457
7201157
8201157
9201157
10234357
11244057
12244257
13244257
14297857
15298057
16298057
0298057
Stop Event
1×iter limit
1×saturated
Counts
15 → 14
Calls
Call 1
Inputs
(* x (pow y 2))
(* x y)
x
(* x (sqrt (pow y 3)))
(/ 1 y)
(/ 1 (pow y 2))
(pow y 2)
(sqrt y)
(sqrt (pow y 3))
(* -1 (* x (* (pow y 2) (pow (sqrt -1) 2))))
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (pow y 3))))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow y 3)) (pow (sqrt -1) 2)))
(* (pow y 2) (pow (sqrt -1) 4))
(* x (* (pow y 2) (pow (sqrt -1) 4)))
Outputs
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x y)
(*.f64 y x)
x
(* x (sqrt (pow y 3)))
(*.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) x)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 (pow y 2))
(/.f64 #s(literal -1 binary64) (*.f64 y y))
(pow y 2)
(*.f64 y y)
(sqrt y)
(sqrt.f64 y)
(sqrt (pow y 3))
(sqrt.f64 (pow.f64 y #s(literal 3 binary64)))
(* -1 (* x (* (pow y 2) (pow (sqrt -1) 2))))
(*.f64 (*.f64 y y) x)
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (pow y 3))))
(*.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) x)
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(sqrt.f64 y)
(* -1 (* (sqrt (pow y 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (pow.f64 y #s(literal 3 binary64)))
(* (pow y 2) (pow (sqrt -1) 4))
(*.f64 y y)
(* x (* (pow y 2) (pow (sqrt -1) 4)))
(*.f64 (*.f64 y y) x)

rewrite103.0ms (3.2%)

Memory
1.5MiB live, 99.4MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02079
03571
19666
230656
0131856
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
15 → 860
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) (pow.f64 y #s(literal -1 binary64)))
(*.f64 x y)
(pow.f64 y #s(literal -1 binary64))
(*.f64 x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 y y)
(*.f64 (*.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 x y) (sqrt.f64 y))
(sqrt.f64 y)
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) y) x) (sqrt.f64 y))
(*.f64 (*.f64 (sqrt.f64 y) y) x)
(*.f64 (sqrt.f64 y) y)
(pow.f64 (sqrt.f64 y) #s(literal 4 binary64))
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal 4 binary64)) x)
Outputs
(*.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 y x) (neg.f64 (sqrt.f64 y))) (neg.f64 (sqrt.f64 y)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) x))
(*.f64 (/.f64 (neg.f64 y) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 x (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))))
(*.f64 (/.f64 (neg.f64 y) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 x (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 (*.f64 y x) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))))
(*.f64 (/.f64 (*.f64 y x) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 y (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 x (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))))
(*.f64 (/.f64 y (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 (neg.f64 x) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 y (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 x (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 (*.f64 y x) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x))
(*.f64 (/.f64 x (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 (neg.f64 y) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 x (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 y (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))))
(*.f64 (/.f64 x (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (pow.f64 y #s(literal 3/2 binary64)))
(*.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 y (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))))
(*.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -3/2 binary64))))
(*.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal 3/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (*.f64 y x) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))))
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(*.f64 (*.f64 (*.f64 y x) (neg.f64 (sqrt.f64 y))) (neg.f64 (sqrt.f64 y)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) x))
(*.f64 (/.f64 (neg.f64 y) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 x (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))))
(*.f64 (/.f64 (neg.f64 y) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 x (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 (*.f64 y x) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))))
(*.f64 (/.f64 (*.f64 y x) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 y (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 x (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))))
(*.f64 (/.f64 y (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 (neg.f64 x) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 y (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 x (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 (*.f64 y x) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x))
(*.f64 (/.f64 x (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 (neg.f64 y) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 x (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (/.f64 y (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))))
(*.f64 (/.f64 x (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (pow.f64 y #s(literal 3/2 binary64)))
(*.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 y (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))))
(*.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -3/2 binary64))))
(*.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal 3/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (*.f64 y x) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (neg.f64 x) (pow.f64 y #s(literal -3/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 x (pow.f64 y #s(literal -3/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 x (pow.f64 y #s(literal -3/2 binary64))))
(*.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 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (neg.f64 y) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) (/.f64 y (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))))
(*.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -3/2 binary64))))
(*.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -3/2 binary64))))
(*.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal 3/2 binary64)))
(*.f64 (neg.f64 (sqrt.f64 y)) (*.f64 (neg.f64 (sqrt.f64 y)) (*.f64 y x)))
(*.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64))
(*.f64 (*.f64 (sqrt.f64 y) x) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 y) x) (pow.f64 y #s(literal 3/2 binary64)))
(*.f64 (neg.f64 x) (*.f64 y y))
(*.f64 (*.f64 (neg.f64 y) x) (/.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 (*.f64 (neg.f64 y) x) (neg.f64 y))
(*.f64 (*.f64 (neg.f64 y) x) y)
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) x))
(*.f64 (neg.f64 y) (*.f64 y x))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 x (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (neg.f64 x) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 x (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 y) x))
(*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (/.f64 (sqrt.f64 y) #s(literal 1 binary64)))
(*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))))
(*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x))
(*.f64 (*.f64 y y) (neg.f64 x))
(*.f64 (*.f64 y y) x)
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y x) (neg.f64 y))
(*.f64 (*.f64 y x) y)
(*.f64 y (*.f64 y x))
(*.f64 x (*.f64 y 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 (neg.f64 y) x) (pow.f64 y #s(literal -1/2 binary64))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))
(/.f64 (/.f64 (*.f64 (neg.f64 y) x) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) y) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 (/.f64 (*.f64 y x) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))
(/.f64 (/.f64 (*.f64 y x) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -3/2 binary64)))
(/.f64 (neg.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x)) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))
(/.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (neg.f64 x)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 x) (pow.f64 y #s(literal 3/2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64))))
(/.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -3/2 binary64)))
(/.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 y y) x) #s(literal -1 binary64))
(/.f64 (neg.f64 x) (*.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 x) (*.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 x) (pow.f64 y #s(literal -2 binary64)))
(/.f64 (*.f64 (neg.f64 y) x) (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 y) x) (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (neg.f64 y) x) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64))))
(/.f64 (*.f64 (neg.f64 y) x) (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))))
(/.f64 (*.f64 (neg.f64 y) x) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))))
(/.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))
(/.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 (*.f64 y x) (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 y x) (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 y x) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64))))
(/.f64 (*.f64 y x) (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))))
(/.f64 (*.f64 y x) (pow.f64 y #s(literal -1 binary64)))
(/.f64 x (*.f64 (pow.f64 y #s(literal -2 binary64)) #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)))
(neg.f64 (*.f64 y (*.f64 (neg.f64 y) x)))
(neg.f64 (*.f64 (*.f64 y y) x))
(fma.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) x (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) x))
(fma.f64 x (cosh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (*.f64 x (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))))
(+.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) x))
(+.f64 (*.f64 x (cosh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) (*.f64 x (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))))

eval127.0ms (3.9%)

Memory
1.5MiB live, 93.6MiB allocated
Compiler

Compiled 6 333 to 1 250 computations (80.3% saved)

prune9.0ms (0.3%)

Memory
31.3MiB live, 31.3MiB allocated
Pruning

9 alts after pruning (4 fresh and 5 done)

PrunedKeptTotal
New5073510
Fresh011
Picked235
Done123
Total5109519
Accuracy
100.0%
Counts
519 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶96.4%
(/.f64 (*.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal -3/2 binary64)))
▶99.8%
(/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) y))
▶89.5%
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y)))
✓89.3%
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal 4 binary64)) x)
▶96.2%
(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y))) y) x) (sqrt.f64 y))
✓96.4%
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) y) x) (sqrt.f64 y))
✓99.5%
(*.f64 (*.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
✓89.7%
(*.f64 (*.f64 y y) x)
✓99.8%
(*.f64 (*.f64 x y) y)
Compiler

Compiled 70 to 53 computations (24.3% saved)

simplify288.0ms (8.8%)

Memory
-10.7MiB live, 89.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 y #s(literal -3/2 binary64))
cost-diff0
(sqrt.f64 y)
cost-diff0
(*.f64 x (sqrt.f64 y))
cost-diff0
(/.f64 (*.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal -3/2 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff0
(*.f64 x y)
cost-diff2
(/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) y))
cost-diff0
(*.f64 y y)
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 y y))
cost-diff2
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y)))
cost-diff0
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y))) y)
cost-diff0
(*.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y))) y) x)
cost-diff4
(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y))) y) x) (sqrt.f64 y))
cost-diff5
(*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y)))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
019102
03486
16686
216474
351574
4170074
5293874
6401274
7407574
8409474
9411374
10412574
11420374
12423674
13423874
14424474
15425074
16425074
17432674
18442674
19452674
20453474
21453474
22453474
23453474
0453474
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y))) y) x) (sqrt.f64 y))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y))) y) x)
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y))) y)
(*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y)))
(sqrt.f64 (sqrt.f64 y))
(sqrt.f64 y)
y
x
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y)))
x
(/.f64 #s(literal 1 binary64) (*.f64 y y))
#s(literal 1 binary64)
(*.f64 y y)
y
(/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) y))
(*.f64 x y)
x
y
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
(/.f64 (*.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal -3/2 binary64)))
(*.f64 x (sqrt.f64 y))
x
(sqrt.f64 y)
y
(pow.f64 y #s(literal -3/2 binary64))
#s(literal -3/2 binary64)
Outputs
(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y))) y) x) (sqrt.f64 y))
(*.f64 (*.f64 x y) y)
(*.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y))) y) x)
(*.f64 x (*.f64 (sqrt.f64 y) y))
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y))) y)
(*.f64 (sqrt.f64 y) y)
(*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y)))
(sqrt.f64 y)
(sqrt.f64 (sqrt.f64 y))
(sqrt.f64 y)
y
x
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (*.f64 x y) y)
x
(/.f64 #s(literal 1 binary64) (*.f64 y y))
#s(literal 1 binary64)
(*.f64 y y)
y
(/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 x y) y)
(*.f64 x y)
x
y
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
(/.f64 (*.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal -3/2 binary64)))
(*.f64 (/.f64 x (pow.f64 y #s(literal -3/2 binary64))) (sqrt.f64 y))
(*.f64 x (sqrt.f64 y))
x
(sqrt.f64 y)
y
(pow.f64 y #s(literal -3/2 binary64))
#s(literal -3/2 binary64)

localize73.0ms (2.2%)

Memory
1.0MiB live, 45.2MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(pow.f64 y #s(literal -3/2 binary64))
accuracy0.0
(sqrt.f64 y)
accuracy0.234375
(*.f64 x (sqrt.f64 y))
accuracy2.2681892463492512
(/.f64 (*.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal -3/2 binary64)))
accuracy0.0
(/.f64 #s(literal 1 binary64) y)
accuracy0.0
(*.f64 x y)
accuracy0.1484375
(/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) y))
accuracy0.0
(*.f64 y y)
accuracy0.3467814721500174
(/.f64 #s(literal 1 binary64) (*.f64 y y))
accuracy6.459171418874923
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y)))
accuracy0.1640625
(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y))) y) x) (sqrt.f64 y))
accuracy0.1796875
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y))) y)
accuracy0.4772262695368841
(*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y)))
accuracy7.944630553147706
(*.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y))) y) x)
Samples
60.0ms256×0valid
Compiler

Compiled 104 to 21 computations (79.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 9.0ms (34% of total)
ival-div: 7.0ms (26.4% of total)
ival-pow: 6.0ms (22.6% of total)
ival-sqrt: 4.0ms (15.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series13.0ms (0.4%)

Memory
9.5MiB live, 9.5MiB allocated
Counts
14 → 16
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y)))
(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y))) y) x) (sqrt.f64 y))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y))) y) x)
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y))) y)
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(*.f64 y y)
(/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) y))
(*.f64 x y)
(/.f64 #s(literal 1 binary64) y)
(/.f64 (*.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal -3/2 binary64)))
(*.f64 x (sqrt.f64 y))
(sqrt.f64 y)
(pow.f64 y #s(literal -3/2 binary64))
Outputs
(* x (pow y 2))
(* x (sqrt (pow y 3)))
(* x y)
(* x (sqrt y))
(sqrt y)
(sqrt (pow y 3))
(/ 1 (pow y 2))
(pow y 2)
(/ 1 y)
(sqrt (/ 1 (pow y 3)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* x (* (pow y 2) (pow (sqrt -1) 2))))
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (pow y 3))))
(* -1 (* (sqrt (pow y 3)) (pow (sqrt -1) 2)))
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt y)))
(* -1 (* (sqrt (/ 1 (pow y 3))) (pow (sqrt -1) 2)))
Calls

6 calls:

TimeVariablePointExpression
4.0ms
y
@-inf
((* (sqrt (sqrt y)) (sqrt (sqrt y))) (* (* (* (* (sqrt (sqrt y)) (sqrt (sqrt y))) y) x) (sqrt y)) (* (* (* (sqrt (sqrt y)) (sqrt (sqrt y))) y) x) (* (* (sqrt (sqrt y)) (sqrt (sqrt y))) y) (/ x (/ 1 (* y y))) (/ 1 (* y y)) (* y y) (/ (* x y) (/ 1 y)) (* x y) (/ 1 y) (/ (* x (sqrt y)) (pow y -3/2)) (* x (sqrt y)) (sqrt y) (pow y -3/2))
2.0ms
y
@0
((* (sqrt (sqrt y)) (sqrt (sqrt y))) (* (* (* (* (sqrt (sqrt y)) (sqrt (sqrt y))) y) x) (sqrt y)) (* (* (* (sqrt (sqrt y)) (sqrt (sqrt y))) y) x) (* (* (sqrt (sqrt y)) (sqrt (sqrt y))) y) (/ x (/ 1 (* y y))) (/ 1 (* y y)) (* y y) (/ (* x y) (/ 1 y)) (* x y) (/ 1 y) (/ (* x (sqrt y)) (pow y -3/2)) (* x (sqrt y)) (sqrt y) (pow y -3/2))
2.0ms
y
@inf
((* (sqrt (sqrt y)) (sqrt (sqrt y))) (* (* (* (* (sqrt (sqrt y)) (sqrt (sqrt y))) y) x) (sqrt y)) (* (* (* (sqrt (sqrt y)) (sqrt (sqrt y))) y) x) (* (* (sqrt (sqrt y)) (sqrt (sqrt y))) y) (/ x (/ 1 (* y y))) (/ 1 (* y y)) (* y y) (/ (* x y) (/ 1 y)) (* x y) (/ 1 y) (/ (* x (sqrt y)) (pow y -3/2)) (* x (sqrt y)) (sqrt y) (pow y -3/2))
2.0ms
x
@-inf
((* (sqrt (sqrt y)) (sqrt (sqrt y))) (* (* (* (* (sqrt (sqrt y)) (sqrt (sqrt y))) y) x) (sqrt y)) (* (* (* (sqrt (sqrt y)) (sqrt (sqrt y))) y) x) (* (* (sqrt (sqrt y)) (sqrt (sqrt y))) y) (/ x (/ 1 (* y y))) (/ 1 (* y y)) (* y y) (/ (* x y) (/ 1 y)) (* x y) (/ 1 y) (/ (* x (sqrt y)) (pow y -3/2)) (* x (sqrt y)) (sqrt y) (pow y -3/2))
1.0ms
x
@0
((* (sqrt (sqrt y)) (sqrt (sqrt y))) (* (* (* (* (sqrt (sqrt y)) (sqrt (sqrt y))) y) x) (sqrt y)) (* (* (* (sqrt (sqrt y)) (sqrt (sqrt y))) y) x) (* (* (sqrt (sqrt y)) (sqrt (sqrt y))) y) (/ x (/ 1 (* y y))) (/ 1 (* y y)) (* y y) (/ (* x y) (/ 1 y)) (* x y) (/ 1 y) (/ (* x (sqrt y)) (pow y -3/2)) (* x (sqrt y)) (sqrt y) (pow y -3/2))

simplify167.0ms (5.1%)

Memory
-44.0MiB live, 59.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03468
18168
225268
364968
4115868
5163768
6187668
7191468
8191568
9191568
10223968
11226768
12226768
13293468
14329268
15335368
16365568
17484968
18508968
19511368
20511368
21511368
22512068
23512068
0512068
Stop Event
1×iter limit
1×saturated
Counts
16 → 16
Calls
Call 1
Inputs
(* x (pow y 2))
(* x (sqrt (pow y 3)))
(* x y)
(* x (sqrt y))
(sqrt y)
(sqrt (pow y 3))
(/ 1 (pow y 2))
(pow y 2)
(/ 1 y)
(sqrt (/ 1 (pow y 3)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* x (* (pow y 2) (pow (sqrt -1) 2))))
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (pow y 3))))
(* -1 (* (sqrt (pow y 3)) (pow (sqrt -1) 2)))
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt y)))
(* -1 (* (sqrt (/ 1 (pow y 3))) (pow (sqrt -1) 2)))
Outputs
(* x (pow y 2))
(*.f64 (*.f64 x y) y)
(* x (sqrt (pow y 3)))
(*.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) x)
(* x y)
(*.f64 x y)
(* x (sqrt y))
(*.f64 (sqrt.f64 y) x)
(sqrt y)
(sqrt.f64 y)
(sqrt (pow y 3))
(sqrt.f64 (pow.f64 y #s(literal 3 binary64)))
(/ 1 (pow y 2))
(/.f64 #s(literal -1 binary64) (*.f64 y y))
(pow y 2)
(*.f64 y y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(sqrt (/ 1 (pow y 3)))
(sqrt.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(sqrt.f64 y)
(* -1 (* x (* (pow y 2) (pow (sqrt -1) 2))))
(*.f64 (*.f64 x y) y)
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (pow y 3))))
(*.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) x)
(* -1 (* (sqrt (pow y 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (pow.f64 y #s(literal 3 binary64)))
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt y)))
(*.f64 (sqrt.f64 y) x)
(* -1 (* (sqrt (/ 1 (pow y 3))) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))

rewrite153.0ms (4.7%)

Memory
38.7MiB live, 223.1MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01986
03471
19851
236451
3223051
0819651
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
14 → 1 559
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y)))
(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y))) y) x) (sqrt.f64 y))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y))) y) x)
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y))) y)
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(*.f64 y y)
(/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) y))
(*.f64 x y)
(/.f64 #s(literal 1 binary64) y)
(/.f64 (*.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal -3/2 binary64)))
(*.f64 x (sqrt.f64 y))
(sqrt.f64 y)
(pow.f64 y #s(literal -3/2 binary64))
Outputs
(*.f64 (neg.f64 (pow.f64 y #s(literal 3/8 binary64))) (pow.f64 y #s(literal 1/8 binary64)))
(*.f64 (sqrt.f64 (pow.f64 y #s(literal 7/8 binary64))) (pow.f64 y #s(literal 1/16 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal 3/8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal 1/8 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 y #s(literal 15/8 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal 5/4 binary64)) #s(literal 1/4 binary64)) (pow.f64 y #s(literal 3/16 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal 7/4 binary64)) #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/16 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal 3/16 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal 7/8 binary64)) #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/16 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal 1/16 binary64)) #s(literal 4 binary64)) (pow.f64 (pow.f64 y #s(literal 1/16 binary64)) #s(literal 4 binary64)))
(*.f64 (neg.f64 (pow.f64 y #s(literal 1/8 binary64))) (pow.f64 y #s(literal 3/8 binary64)))
(*.f64 (pow.f64 y #s(literal 3/8 binary64)) (sqrt.f64 (/.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal -1 binary64))))
(*.f64 (pow.f64 y #s(literal 3/8 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 y #s(literal 3/8 binary64)) (pow.f64 y #s(literal 1/8 binary64)))
(*.f64 (pow.f64 y #s(literal 3/16 binary64)) (pow.f64 (pow.f64 y #s(literal 5/4 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 y #s(literal 1/16 binary64)) (sqrt.f64 (pow.f64 y #s(literal 7/8 binary64))))
(*.f64 (pow.f64 y #s(literal 1/16 binary64)) (pow.f64 (pow.f64 y #s(literal 7/4 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 y #s(literal 1/16 binary64)) (pow.f64 (pow.f64 y #s(literal 7/8 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 y #s(literal 1/8 binary64)) (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3/4 binary64)) #s(literal -1 binary64))))
(*.f64 (pow.f64 y #s(literal 1/8 binary64)) (pow.f64 (pow.f64 y #s(literal 3/8 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 1/8 binary64)) (pow.f64 (pow.f64 y #s(literal 3/16 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 y #s(literal 1/8 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3/4 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 y #s(literal 1/8 binary64)) (pow.f64 y #s(literal 3/8 binary64)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 y)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 y))
(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 (sqrt.f64 y) #s(literal 1 binary64))
(pow.f64 (pow.f64 y #s(literal 1/8 binary64)) #s(literal 4 binary64))
(pow.f64 (*.f64 y y) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 y #s(literal 1/2 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) (cosh.f64 (log.f64 (sqrt.f64 y)))) (*.f64 (sinh.f64 (log.f64 (sqrt.f64 y))) (sinh.f64 (log.f64 (sqrt.f64 y))))) (-.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) (sinh.f64 (log.f64 (sqrt.f64 y)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (sqrt.f64 y))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) (cosh.f64 (log.f64 (sqrt.f64 y))) (-.f64 (*.f64 (sinh.f64 (log.f64 (sqrt.f64 y))) (sinh.f64 (log.f64 (sqrt.f64 y)))) (*.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) (sinh.f64 (log.f64 (sqrt.f64 y)))))))
(/.f64 (sqrt.f64 (pow.f64 y #s(literal 5/8 binary64))) (sqrt.f64 (pow.f64 y #s(literal -3/8 binary64))))
(/.f64 (neg.f64 (pow.f64 y #s(literal 1/8 binary64))) (neg.f64 (pow.f64 y #s(literal -3/8 binary64))))
(/.f64 (sqrt.f64 y) (sqrt.f64 #s(literal -1 binary64)))
(/.f64 (sqrt.f64 y) #s(literal -1 binary64))
(/.f64 (sqrt.f64 y) #s(literal 1 binary64))
(/.f64 (pow.f64 y #s(literal 1/8 binary64)) (sqrt.f64 (sqrt.f64 (neg.f64 (pow.f64 y #s(literal -3/2 binary64))))))
(/.f64 (pow.f64 y #s(literal 1/8 binary64)) (sqrt.f64 (neg.f64 (pow.f64 y #s(literal -3/4 binary64)))))
(/.f64 (pow.f64 y #s(literal 1/8 binary64)) (pow.f64 y #s(literal -3/8 binary64)))
(neg.f64 (sqrt.f64 y))
(sqrt.f64 y)
(fabs.f64 (sqrt.f64 y))
(exp.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (log.f64 y)) (*.f64 (log.f64 y) #s(literal -3/8 binary64))))
(exp.f64 (/.f64 (log.f64 y) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (log.f64 y)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1/4 binary64)))
(exp.f64 (log.f64 (sqrt.f64 y)))
(+.f64 (/.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) #s(literal 1 binary64)) (/.f64 (sinh.f64 (log.f64 (sqrt.f64 y))) #s(literal 1 binary64)))
(+.f64 (/.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) #s(literal -1 binary64)) (/.f64 (sinh.f64 (log.f64 (sqrt.f64 y))) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) (sinh.f64 (log.f64 (sqrt.f64 y))))
(*.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 7/4 binary64)) x) (pow.f64 y #s(literal 1/8 binary64)))) (pow.f64 y #s(literal 1/8 binary64)))
(*.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (pow.f64 y #s(literal 1/4 binary64)))) (pow.f64 y #s(literal 5/4 binary64)))
(*.f64 (neg.f64 (*.f64 (sqrt.f64 y) (*.f64 x (pow.f64 y #s(literal 1/4 binary64))))) (pow.f64 y #s(literal 5/4 binary64)))
(*.f64 (neg.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal -1/2 binary64)))) (pow.f64 y #s(literal 3/2 binary64)))
(*.f64 (neg.f64 (/.f64 (*.f64 x (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal -3/4 binary64)))) y)
(*.f64 (neg.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64)))) (pow.f64 y #s(literal 3/2 binary64)))
(*.f64 (neg.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal -3/4 binary64)))) (pow.f64 y #s(literal 5/4 binary64)))
(*.f64 (neg.f64 (/.f64 x (pow.f64 y #s(literal -3/4 binary64)))) (/.f64 (pow.f64 y #s(literal 5/4 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (/.f64 x (pow.f64 y #s(literal -3/4 binary64)))) (pow.f64 y #s(literal 5/4 binary64)))
(*.f64 (neg.f64 (/.f64 x (pow.f64 y #s(literal -3/2 binary64)))) (sqrt.f64 y))
(*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 7/4 binary64)) x) (pow.f64 y #s(literal 1/8 binary64))) (pow.f64 y #s(literal 1/8 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 5/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 y) (*.f64 x (pow.f64 y #s(literal 1/4 binary64)))) (pow.f64 y #s(literal 5/4 binary64)))
(*.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal 3/2 binary64)))
(*.f64 (/.f64 (*.f64 x (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal -3/4 binary64))) y)
(*.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal -3/4 binary64))) (pow.f64 y #s(literal 5/4 binary64)))
(*.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal 3/2 binary64)))
(*.f64 (neg.f64 (pow.f64 y #s(literal 1/8 binary64))) (*.f64 (pow.f64 y #s(literal 1/8 binary64)) (*.f64 (pow.f64 y #s(literal 7/4 binary64)) x)))
(*.f64 (/.f64 x (pow.f64 y #s(literal -3/2 binary64))) (sqrt.f64 y))
(*.f64 (pow.f64 y #s(literal 7/4 binary64)) (*.f64 x (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (*.f64 (pow.f64 y #s(literal 5/4 binary64)) x) (pow.f64 y #s(literal 3/4 binary64)))
(*.f64 (pow.f64 y #s(literal 3/4 binary64)) (*.f64 (pow.f64 y #s(literal 5/4 binary64)) x))
(*.f64 (*.f64 (pow.f64 y #s(literal 7/4 binary64)) x) (/.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 y #s(literal 7/4 binary64)) x) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (*.f64 x (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 7/4 binary64)))
(*.f64 (/.f64 x (pow.f64 y #s(literal -3/4 binary64))) (/.f64 (pow.f64 y #s(literal 5/4 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 x (pow.f64 y #s(literal -3/4 binary64))) (pow.f64 y #s(literal 5/4 binary64)))
(*.f64 (sqrt.f64 y) (/.f64 (/.f64 x (pow.f64 y #s(literal -3/2 binary64))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 y) (/.f64 (neg.f64 x) (pow.f64 y #s(literal -3/2 binary64))))
(*.f64 (sqrt.f64 y) (/.f64 x (pow.f64 y #s(literal -3/2 binary64))))
(*.f64 (sqrt.f64 y) (*.f64 x (pow.f64 y #s(literal 3/2 binary64))))
(*.f64 (pow.f64 y #s(literal 1/8 binary64)) (*.f64 (pow.f64 y #s(literal 1/8 binary64)) (*.f64 (pow.f64 y #s(literal 7/4 binary64)) x)))
(*.f64 (pow.f64 y #s(literal 5/4 binary64)) (/.f64 (/.f64 x (pow.f64 y #s(literal -3/4 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 5/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 y) x)))
(*.f64 (pow.f64 y #s(literal 5/4 binary64)) (/.f64 (neg.f64 x) (pow.f64 y #s(literal -3/4 binary64))))
(*.f64 (pow.f64 y #s(literal 5/4 binary64)) (/.f64 x (pow.f64 y #s(literal -3/4 binary64))))
(*.f64 (neg.f64 x) (*.f64 y y))
(*.f64 (*.f64 (sqrt.f64 y) x) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (sqrt.f64 y) x) (pow.f64 y #s(literal 3/2 binary64)))
(*.f64 (*.f64 x y) y)
(*.f64 (*.f64 y y) (neg.f64 x))
(*.f64 (*.f64 y y) x)
(*.f64 (*.f64 x (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 y))
(*.f64 x (*.f64 y y))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (neg.f64 x) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 x (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 y) x))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (/.f64 (*.f64 (pow.f64 y #s(literal 7/4 binary64)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (/.f64 (*.f64 x (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal -3/2 binary64))))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (/.f64 x (pow.f64 y #s(literal -3/2 binary64)))))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 7/4 binary64)) x))
(*.f64 y (/.f64 (*.f64 x (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal -3/4 binary64))))
(*.f64 y (*.f64 x y))
(/.f64 (neg.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 5/4 binary64)) x) (pow.f64 y #s(literal -3/8 binary64)))) (neg.f64 (pow.f64 y #s(literal -3/8 binary64))))
(/.f64 (neg.f64 (/.f64 (*.f64 x y) (pow.f64 y #s(literal -1/2 binary64)))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal -3/4 binary64))) (sqrt.f64 y))) (neg.f64 (pow.f64 y #s(literal -3/4 binary64))))
(/.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal -3/8 binary64))) (pow.f64 y #s(literal 5/4 binary64))) (*.f64 (pow.f64 y #s(literal -3/8 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal -3/8 binary64))) (sqrt.f64 y)) (*.f64 (pow.f64 y #s(literal -3/8 binary64)) (neg.f64 (pow.f64 y #s(literal -3/4 binary64)))))
(/.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal -3/8 binary64))) (sqrt.f64 y)) (pow.f64 y #s(literal -9/8 binary64)))
(/.f64 (*.f64 (pow.f64 y #s(literal 7/8 binary64)) (/.f64 x (pow.f64 y #s(literal -3/4 binary64)))) (*.f64 (pow.f64 y #s(literal -3/8 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (sqrt.f64 y) (/.f64 x (pow.f64 y #s(literal -3/8 binary64)))) (*.f64 (neg.f64 (pow.f64 y #s(literal -3/4 binary64))) (pow.f64 y #s(literal -3/8 binary64))))
(/.f64 (*.f64 (sqrt.f64 y) (/.f64 x (pow.f64 y #s(literal -3/8 binary64)))) (pow.f64 y #s(literal -9/8 binary64)))
(/.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal 5/8 binary64))) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -3/8 binary64))))
(/.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal 1/4 binary64))) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 (neg.f64 (pow.f64 y #s(literal -3/2 binary64))))))
(/.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal 1/4 binary64))) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (neg.f64 (pow.f64 y #s(literal -3/4 binary64)))))
(/.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal 1/4 binary64))) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -3/4 binary64))))
(/.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) y) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -1 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -3/2 binary64))))
(neg.f64 (neg.f64 (pow.f64 y #s(literal -3/2 binary64))))
(sqrt.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal -3/2 binary64))) (neg.f64 (pow.f64 y #s(literal -3/2 binary64)))))
(sqrt.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) (pow.f64 y #s(literal -3/2 binary64))))
(-.f64 (/.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 y))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -3/2 binary64)))) (/.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -3/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -3/2 binary64)))))
(fabs.f64 (neg.f64 (pow.f64 y #s(literal -3/2 binary64))))
(fabs.f64 (pow.f64 y #s(literal -3/2 binary64)))
(exp.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal -1/2 binary64)) (log.f64 (sqrt.f64 y))))
(exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal -1 binary64)) (log.f64 (sqrt.f64 y))))
(exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) (log.f64 y)))
(exp.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal -1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) (*.f64 (log.f64 y) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal -1/2 binary64) (*.f64 (log.f64 y) #s(literal -1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 y) #s(literal -1 binary64) (*.f64 (log.f64 y) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (*.f64 #s(literal 3/4 binary64) (log.f64 y)) #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -3/2 binary64))) (log.f64 y)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal -3 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (pow.f64 y #s(literal -3/4 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 y)) #s(literal -6 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal -3/2 binary64)))
(+.f64 (/.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 y))) #s(literal 3 binary64)) (+.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -3/2 binary64))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 y))) (sinh.f64 (*.f64 (log.f64 y) #s(literal -3/2 binary64))))))) (/.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -3/2 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -3/2 binary64))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 y))) (sinh.f64 (*.f64 (log.f64 y) #s(literal -3/2 binary64))))))))
(+.f64 (/.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal -1 binary64))) (sqrt.f64 y)) (/.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -1 binary64))) (sqrt.f64 y)))
(+.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -3/2 binary64))) (cosh.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 y))))
(+.f64 (cosh.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 y))) (sinh.f64 (*.f64 (log.f64 y) #s(literal -3/2 binary64))))

eval139.0ms (4.3%)

Memory
-32.6MiB live, 210.8MiB allocated
Compiler

Compiled 11 395 to 2 353 computations (79.4% saved)

prune18.0ms (0.5%)

Memory
13.7MiB live, 60.3MiB allocated
Pruning

9 alts after pruning (0 fresh and 9 done)

PrunedKeptTotal
New8410841
Fresh000
Picked044
Done055
Total8419850
Accuracy
100.0%
Counts
850 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓96.4%
(/.f64 (*.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal -3/2 binary64)))
✓99.8%
(/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) y))
✓89.5%
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y)))
✓89.3%
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal 4 binary64)) x)
✓96.2%
(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y))) y) x) (sqrt.f64 y))
✓96.4%
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) y) x) (sqrt.f64 y))
✓99.5%
(*.f64 (*.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
✓89.7%
(*.f64 (*.f64 y y) x)
✓99.8%
(*.f64 (*.f64 x y) y)
Compiler

Compiled 194 to 102 computations (47.4% saved)

regimes16.0ms (0.5%)

Memory
-10.8MiB live, 35.2MiB allocated
Accuracy

Total -7.0b remaining (-7129.8%)

Threshold costs -7b (-7129.8%)

Counts
15 → 1
Calls
Call 1
Inputs
(*.f64 (*.f64 x y) y)
(*.f64 (*.f64 y y) x)
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (*.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y)
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) y) x) (sqrt.f64 y))
(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y))) y) x) (sqrt.f64 y))
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal 4 binary64)) x)
(/.f64 (*.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64)))
(/.f64 (*.f64 x y) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (sqrt.f64 y))
(/.f64 (*.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal -3/2 binary64)))
(*.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 y) x))) y)
Outputs
(*.f64 (*.f64 x y) y)
Calls

3 calls:

7.0ms
(*.f64 (*.f64 x y) y)
4.0ms
y
4.0ms
x
Results
AccuracySegmentsBranch
99.8%1(*.f64 (*.f64 x y) y)
99.8%1x
99.8%1y
Compiler

Compiled 7 to 8 computations (-14.3% saved)

simplify10.0ms (0.3%)

Memory
15.2MiB live, 15.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 x y) y)
Outputs
(*.f64 (*.f64 x y) y)

soundness0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Stop Event
1×done
Compiler

Compiled 5 to 4 computations (20% saved)

preprocess30.0ms (0.9%)

Memory
-8.0MiB live, 45.6MiB allocated
Remove

(negabs x)

(abs y)

Compiler

Compiled 60 to 48 computations (20% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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