Data.HyperLogLog.Config:hll from hyperloglog-0.3.4

Time bar (total: 3.0s)

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
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)

sample689.0ms (23%)

Memory
15.3MiB live, 805.2MiB allocated; 177ms collecting garbage
Samples
463.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 207.0ms
ival-mult: 196.0ms (94.7% of total)
ival-true: 6.0ms (2.9% of total)
ival-assert: 3.0ms (1.4% of total)
adjust: 2.0ms (1% of total)
Bogosity

explain47.0ms (1.6%)

Memory
-21.3MiB live, 80.2MiB allocated; 12ms collecting garbage
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
18.0ms512×0valid
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 (95.1% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess19.0ms (0.6%)

Memory
19.0MiB live, 19.0MiB allocated; 0ms collecting garbage
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; 0ms collecting garbage
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.7%
(*.f64 (*.f64 x y) y)
Compiler

Compiled 5 to 4 computations (20% saved)

simplify5.0ms (0.2%)

Memory
7.8MiB live, 7.8MiB allocated; 0ms collecting garbage
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

localize15.0ms (0.5%)

Memory
-31.5MiB live, 14.3MiB allocated; 4ms collecting garbage
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x y)
accuracy0.19140625
(*.f64 (*.f64 x y) y)
Samples
9.0ms256×0valid
Compiler

Compiled 12 to 6 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 3.0ms (89% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.2%)

Memory
5.1MiB live, 5.1MiB allocated; 0ms collecting garbage
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
2.0ms
x
@0
((* (* x y) y) (* x y))
1.0ms
x
@-inf
((* (* x y) y) (* x y))
1.0ms
y
@-inf
((* (* 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 (0.2%)

Memory
3.0MiB live, 3.0MiB allocated; 0ms collecting garbage
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)

rewrite158.0ms (5.3%)

Memory
3.0MiB live, 196.3MiB allocated; 38ms collecting garbage
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))))

eval9.0ms (0.3%)

Memory
20.0MiB live, 20.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 322 to 224 computations (83.1% saved)

prune7.0ms (0.2%)

Memory
-29.4MiB live, 15.5MiB allocated; 4ms collecting garbage
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New85691
Fresh000
Picked011
Done000
Total85792
Accuracy
99.9%
Counts
92 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶85.9%
(/.f64 (*.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64)))
▶93.9%
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 y) x))
▶93.8%
(*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (sqrt.f64 y))
99.4%
(*.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)
▶86.0%
(*.f64 (*.f64 y y) x)
✓99.7%
(*.f64 (*.f64 x y) y)
Compiler

Compiled 107 to 84 computations (21.5% saved)

simplify20.0ms (0.7%)

Memory
42.0MiB live, 42.0MiB allocated; 0ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

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

Useful iterations: 2 (0.0ms)

IterNodesCost
01892
03192
15792
212880
323780
447180
563980
667080
772380
877980
980580
1081580
081580
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.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 y y) x)
(*.f64 y 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)
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 y) x))
(pow.f64 y #s(literal 3/2 binary64))
y
#s(literal 3/2 binary64)
(*.f64 (sqrt.f64 y) x)
(sqrt.f64 y)
x
Outputs
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y)
(*.f64 (*.f64 y y) x)
(*.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 y y) x)
(*.f64 y 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 (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)
(*.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) (sqrt.f64 y))
(pow.f64 y #s(literal 3/2 binary64))
y
#s(literal 3/2 binary64)
(*.f64 (sqrt.f64 y) x)
(*.f64 x (sqrt.f64 y))
(sqrt.f64 y)
x

localize62.0ms (2.1%)

Memory
-37.6MiB live, 106.9MiB allocated; 18ms collecting garbage
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(pow.f64 y #s(literal 3/2 binary64))
accuracy0.0
(sqrt.f64 y)
accuracy0.19921875
(*.f64 (sqrt.f64 y) x)
accuracy3.887452374086583
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 y) x))
accuracy0.0
(pow.f64 y #s(literal 3/2 binary64))
accuracy0.0
(sqrt.f64 y)
accuracy0.178066259768442
(*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (sqrt.f64 y))
accuracy8.620567922007469
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) x)
accuracy0.0
(*.f64 x #s(literal 1 binary64))
accuracy0.00390625
(pow.f64 y #s(literal -2 binary64))
accuracy9.013542798162414
(/.f64 (*.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64)))
accuracy0.0
(*.f64 y y)
accuracy8.962426163981384
(*.f64 (*.f64 y y) x)
accuracy0.0
(sqrt.f64 y)
accuracy0.19140625
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y)
accuracy0.19921875
(*.f64 (sqrt.f64 y) x)
accuracy0.28353500976844204
(*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y))
Samples
47.0ms256×0valid
Compiler

Compiled 94 to 20 computations (78.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-mult: 12.0ms (36.8% of total)
ival-pow: 10.0ms (30.7% of total)
ival-sqrt: 8.0ms (24.5% of total)
ival-div: 2.0ms (6.1% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series20.0ms (0.7%)

Memory
7.7MiB live, 51.2MiB allocated; 5ms collecting garbage
Counts
13 → 16
Calls
Call 1
Inputs
(*.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 (*.f64 y y) x)
(*.f64 y 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))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 y) x))
Outputs
(* x y)
(* x (pow y 2))
(* x (sqrt y))
x
(* x (sqrt (pow y 3)))
(sqrt y)
(pow y 2)
(/ 1 (pow y 2))
(sqrt (pow y 3))
(* -1 (* x (* y (pow (sqrt -1) 2))))
(* -1 (* x (* (pow y 2) (pow (sqrt -1) 2))))
(* -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
9.0ms
y
@-inf
((* (* (sqrt y) x) (sqrt y)) (* (* (* (sqrt y) x) (sqrt y)) y) (* (sqrt y) x) (sqrt y) (* (* y y) x) (* y 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) (* (pow y 3/2) (* (sqrt y) x)))
3.0ms
x
@0
((* (* (sqrt y) x) (sqrt y)) (* (* (* (sqrt y) x) (sqrt y)) y) (* (sqrt y) x) (sqrt y) (* (* y y) x) (* y 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) (* (pow y 3/2) (* (sqrt y) x)))
2.0ms
x
@-inf
((* (* (sqrt y) x) (sqrt y)) (* (* (* (sqrt y) x) (sqrt y)) y) (* (sqrt y) x) (sqrt y) (* (* y y) x) (* y 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) (* (pow y 3/2) (* (sqrt y) x)))
2.0ms
y
@inf
((* (* (sqrt y) x) (sqrt y)) (* (* (* (sqrt y) x) (sqrt y)) y) (* (sqrt y) x) (sqrt y) (* (* y y) x) (* y 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) (* (pow y 3/2) (* (sqrt y) x)))
2.0ms
y
@0
((* (* (sqrt y) x) (sqrt y)) (* (* (* (sqrt y) x) (sqrt y)) y) (* (sqrt y) x) (sqrt y) (* (* y y) x) (* y 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) (* (pow y 3/2) (* (sqrt y) x)))

simplify51.0ms (1.7%)

Memory
12.1MiB live, 59.3MiB allocated; 1ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03072
17065
219564
354064
493864
5130964
6162164
7164264
8164264
9164264
10164264
11164264
12193664
0193664
Stop Event
1×iter limit
1×saturated
Counts
16 → 15
Calls
Call 1
Inputs
(* x y)
(* x (pow y 2))
(* x (sqrt y))
x
(* x (sqrt (pow y 3)))
(sqrt y)
(pow y 2)
(/ 1 (pow y 2))
(sqrt (pow y 3))
(* -1 (* x (* y (pow (sqrt -1) 2))))
(* -1 (* x (* (pow y 2) (pow (sqrt -1) 2))))
(* -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)
(* 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)
(sqrt y)
(sqrt.f64 y)
(pow y 2)
(*.f64 y y)
(/ 1 (pow y 2))
(/.f64 (/.f64 #s(literal -1 binary64) 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)
(* -1 (* x (* (pow y 2) (pow (sqrt -1) 2))))
(*.f64 (*.f64 y y) x)
(* -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 y y) x)
(* (* 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))))

rewrite93.0ms (3.1%)

Memory
0.1MiB live, 103.7MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01867
03173
17953
223049
091749
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×iter limit
Counts
13 → 454
Calls
Call 1
Inputs
(*.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 (*.f64 y y) x)
(*.f64 y 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))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 y) x))
Outputs
(*.f64 (/.f64 x #s(literal 1 binary64)) y)
(*.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 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 x (pow.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 x (sqrt.f64 y))))
(*.f64 (*.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 x y)
(*.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 y)))
(*.f64 y x)
(/.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))
(/.f64 x (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 x y) #s(literal 1 binary64)) y)
(*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 5/4 binary64)) x) (pow.f64 y #s(literal 3/8 binary64))) (pow.f64 y #s(literal 3/8 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 #s(literal 1 binary64) (pow.f64 y #s(literal 3/4 binary64))) (*.f64 (pow.f64 y #s(literal 5/4 binary64)) x))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 (neg.f64 y) x))
(*.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (neg.f64 (pow.f64 y #s(literal 3/4 binary64)))) (neg.f64 (pow.f64 y #s(literal 3/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (neg.f64 x) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
(*.f64 (pow.f64 y #s(literal 5/4 binary64)) (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x))
(*.f64 (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x) (pow.f64 y #s(literal 5/4 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 (pow.f64 y #s(literal 5/4 binary64)) x) (*.f64 (pow.f64 y #s(literal 3/4 binary64)) #s(literal 1 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 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 3/8 binary64)) (*.f64 (pow.f64 y #s(literal 3/8 binary64)) (*.f64 (pow.f64 y #s(literal 5/4 binary64)) x)))
(*.f64 (*.f64 x y) y)
(*.f64 (neg.f64 (pow.f64 y #s(literal 3/4 binary64))) (*.f64 (neg.f64 (pow.f64 y #s(literal 3/4 binary64))) (*.f64 x (sqrt.f64 y))))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (*.f64 y y)))
(*.f64 (pow.f64 y #s(literal 3/4 binary64)) (*.f64 (pow.f64 y #s(literal 5/4 binary64)) x))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal -2 binary64)))))
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) x))
(*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (sqrt.f64 y))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 x (sqrt.f64 y)))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64))
(*.f64 (*.f64 y y) x)
(*.f64 (*.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal 3/2 binary64)))
(*.f64 x (*.f64 y y))
(*.f64 (sqrt.f64 y) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x))
(*.f64 y (*.f64 x y))
(/.f64 (/.f64 (*.f64 x y) (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 binary64))) (/.f64 #s(literal -1 binary64) y))
(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) y))
(/.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) y))
(/.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 x (pow.f64 y #s(literal -2 binary64)))
(neg.f64 (*.f64 (*.f64 (neg.f64 y) x) y))
(neg.f64 (*.f64 x (*.f64 (neg.f64 y) y)))
(neg.f64 (*.f64 y (*.f64 (neg.f64 y) x)))
(neg.f64 (*.f64 (*.f64 (neg.f64 x) (*.f64 y y)) #s(literal 1 binary64)))
(neg.f64 (*.f64 (*.f64 (neg.f64 y) y) x))
(neg.f64 (*.f64 (neg.f64 x) (*.f64 y y)))
(fma.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (*.f64 x (sqrt.f64 y)) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (*.f64 x (sqrt.f64 y))))
(fma.f64 (*.f64 x (sqrt.f64 y)) (cosh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (*.f64 (*.f64 x (sqrt.f64 y)) (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64)))))
(+.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (*.f64 x (sqrt.f64 y))) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (*.f64 x (sqrt.f64 y))))
(+.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (cosh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64)))) (*.f64 (*.f64 x (sqrt.f64 y)) (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64)))))
(*.f64 (*.f64 x (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)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) x))
(*.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 y)))
(*.f64 (*.f64 x (sqrt.f64 y)) #s(literal 1 binary64))
(*.f64 x (sqrt.f64 y))
(*.f64 (sqrt.f64 y) x)
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 1/4 binary64))) (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 (fabs.f64 (pow.f64 y #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 1 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 (sqrt.f64 y) #s(literal 1 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 y #s(literal 1/2 binary64))
(sqrt.f64 y)
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y)))
(+.f64 (cosh.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y))) (sinh.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 y))))
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(neg.f64 (*.f64 (*.f64 (neg.f64 y) x) y))
(neg.f64 (*.f64 x (*.f64 (neg.f64 y) y)))
(neg.f64 (*.f64 y (*.f64 (neg.f64 y) x)))
(neg.f64 (*.f64 (*.f64 (neg.f64 x) (*.f64 y y)) #s(literal 1 binary64)))
(neg.f64 (*.f64 (*.f64 (neg.f64 y) y) x))
(neg.f64 (*.f64 (neg.f64 x) (*.f64 y y)))
(fma.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (*.f64 x (sqrt.f64 y)) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (*.f64 x (sqrt.f64 y))))
(fma.f64 (*.f64 x (sqrt.f64 y)) (cosh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (*.f64 (*.f64 x (sqrt.f64 y)) (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64)))))
(+.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (*.f64 x (sqrt.f64 y))) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (*.f64 x (sqrt.f64 y))))
(+.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (cosh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64)))) (*.f64 (*.f64 x (sqrt.f64 y)) (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64)))))

eval38.0ms (1.3%)

Memory
4.9MiB live, 95.3MiB allocated; 8ms collecting garbage
Compiler

Compiled 4 312 to 831 computations (80.7% saved)

prune15.0ms (0.5%)

Memory
-19.0MiB live, 33.0MiB allocated; 5ms collecting garbage
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New3448352
Fresh101
Picked325
Done011
Total34811359
Accuracy
100.0%
Counts
359 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.6%
(/.f64 (/.f64 (*.f64 x y) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
▶99.7%
(/.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) y))
85.7%
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
▶97.1%
(*.f64 (pow.f64 y #s(literal 5/4 binary64)) (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x))
▶99.6%
(*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y)) y)
99.4%
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64))) y)
✓99.5%
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y)
99.5%
(*.f64 (*.f64 (*.f64 x (sqrt.f64 y)) y) (sqrt.f64 y))
▶99.5%
(*.f64 (*.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
✓86.0%
(*.f64 (*.f64 y y) x)
✓99.7%
(*.f64 (*.f64 x y) y)
Compiler

Compiled 169 to 130 computations (23.1% saved)

simplify78.0ms (2.6%)

Memory
8.0MiB live, 53.4MiB allocated; 3ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 y #s(literal -1/2 binary64))
cost-diff0
(*.f64 x y)
cost-diff0
(/.f64 (*.f64 x y) (pow.f64 y #s(literal -1/2 binary64)))
cost-diff6
(/.f64 (/.f64 (*.f64 x y) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
cost-diff0
(pow.f64 y #s(literal 3/4 binary64))
cost-diff0
(*.f64 (pow.f64 y #s(literal 3/4 binary64)) x)
cost-diff0
(pow.f64 y #s(literal 5/4 binary64))
cost-diff0
(*.f64 (pow.f64 y #s(literal 5/4 binary64)) (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x))
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 #s(literal -1 binary64) y)
cost-diff0
(neg.f64 x)
cost-diff0
(*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y)) y)
cost-diff3
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))
cost-diff0
(/.f64 #s(literal -1 binary64) y)
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 (neg.f64 y) x)
cost-diff3
(/.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) y))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
024115
042117
170117
2140110
334696
4107196
5307496
6373696
7391296
8394996
9396396
10398996
11416596
12441296
13475596
14475596
0475596
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) y))
(*.f64 (neg.f64 y) x)
(neg.f64 y)
y
x
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
(*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y)) y)
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))
(neg.f64 x)
x
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
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 (pow.f64 y #s(literal 5/4 binary64)) (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x))
(pow.f64 y #s(literal 5/4 binary64))
y
#s(literal 5/4 binary64)
(*.f64 (pow.f64 y #s(literal 3/4 binary64)) x)
(pow.f64 y #s(literal 3/4 binary64))
#s(literal 3/4 binary64)
x
(/.f64 (/.f64 (*.f64 x y) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 (*.f64 x y) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 x y)
x
y
(pow.f64 y #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
Outputs
(/.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) y))
(*.f64 (*.f64 x y) y)
(*.f64 (neg.f64 y) x)
(*.f64 x (neg.f64 y))
(neg.f64 y)
y
x
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
(*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y)) y)
(*.f64 (*.f64 x y) y)
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))
(*.f64 x y)
(neg.f64 x)
x
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
(*.f64 (*.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 x y) y)
(*.f64 (*.f64 x y) (sqrt.f64 y))
(*.f64 (*.f64 (sqrt.f64 y) x) y)
(*.f64 x y)
x
y
(sqrt.f64 y)
(*.f64 (pow.f64 y #s(literal 5/4 binary64)) (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x))
(*.f64 (*.f64 (pow.f64 y #s(literal 5/4 binary64)) x) (pow.f64 y #s(literal 3/4 binary64)))
(pow.f64 y #s(literal 5/4 binary64))
y
#s(literal 5/4 binary64)
(*.f64 (pow.f64 y #s(literal 3/4 binary64)) x)
(pow.f64 y #s(literal 3/4 binary64))
#s(literal 3/4 binary64)
x
(/.f64 (/.f64 (*.f64 x y) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (*.f64 x y) y)
(/.f64 (*.f64 x y) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) y)
(*.f64 x y)
x
y
(pow.f64 y #s(literal -1/2 binary64))
#s(literal -1/2 binary64)

localize82.0ms (2.7%)

Memory
-10.1MiB live, 36.3MiB allocated; 4ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x y)
accuracy0.00390625
(pow.f64 y #s(literal -1/2 binary64))
accuracy0.16244125976844204
(/.f64 (/.f64 (*.f64 x y) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
accuracy0.209316259768442
(/.f64 (*.f64 x y) (pow.f64 y #s(literal -1/2 binary64)))
accuracy0.0
(pow.f64 y #s(literal 5/4 binary64))
accuracy0.0
(pow.f64 y #s(literal 3/4 binary64))
accuracy0.2265625
(*.f64 (pow.f64 y #s(literal 3/4 binary64)) x)
accuracy1.8074779928032598
(*.f64 (pow.f64 y #s(literal 5/4 binary64)) (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x))
accuracy0.0
(*.f64 x y)
accuracy0.0
(sqrt.f64 y)
accuracy0.178066259768442
(*.f64 (*.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
accuracy0.240566259768442
(*.f64 (*.f64 x y) (sqrt.f64 y))
accuracy0.0
(/.f64 #s(literal -1 binary64) y)
accuracy0.0
(neg.f64 x)
accuracy0.19140625
(*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y)) y)
accuracy0.1953125
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))
accuracy0.0
(/.f64 #s(literal -1 binary64) y)
accuracy0.0
(*.f64 (neg.f64 y) x)
accuracy0.0
(neg.f64 y)
accuracy0.21712875976844204
(/.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) y))
Samples
50.0ms256×0valid
Compiler

Compiled 117 to 26 computations (77.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-pow: 14.0ms (39.4% of total)
ival-mult: 10.0ms (28.2% of total)
ival-div: 7.0ms (19.7% of total)
ival-sqrt: 2.0ms (5.6% of total)
ival-neg: 2.0ms (5.6% of total)
exact: 1.0ms (2.8% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series288.0ms (9.6%)

Memory
2.3MiB live, 192.0MiB allocated; 35ms collecting garbage
Counts
18 → 22
Calls
Call 1
Inputs
(/.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) y))
(*.f64 (neg.f64 y) x)
(neg.f64 y)
(/.f64 #s(literal -1 binary64) y)
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y)) y)
(neg.f64 x)
(*.f64 (*.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 x y) (sqrt.f64 y))
(*.f64 x y)
(sqrt.f64 y)
(*.f64 (pow.f64 y #s(literal 5/4 binary64)) (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x))
(pow.f64 y #s(literal 5/4 binary64))
(*.f64 (pow.f64 y #s(literal 3/4 binary64)) x)
(pow.f64 y #s(literal 3/4 binary64))
(/.f64 (/.f64 (*.f64 x y) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 (*.f64 x y) (pow.f64 y #s(literal -1/2 binary64)))
(pow.f64 y #s(literal -1/2 binary64))
Outputs
(* x (pow y 2))
(* -1 (* x y))
(* x y)
(* -1 x)
(* x (sqrt (pow y 3)))
(* (pow (* 1 (pow y 3)) 1/4) x)
(* -1 y)
(/ -1 y)
(sqrt y)
(pow (* 1 (pow y 5)) 1/4)
(pow (* 1 (pow y 3)) 1/4)
(sqrt (/ 1 y))
(* -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)))
(* x (* (pow y 2) (sqrt -1)))
(exp (* 1/4 (+ (log -1) (* -5 (log (/ -1 y))))))
(* x (exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 y)))))))
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 y))))))
(* -1 (/ (* x (pow y 2)) (pow (sqrt -1) 2)))
(* -1 (* x (sqrt (pow y 3))))
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2))
Calls

6 calls:

TimeVariablePointExpression
106.0ms
y
@-inf
((/ (* (neg y) x) (/ -1 y)) (* (neg y) x) (neg y) (/ -1 y) (/ (neg x) (/ -1 y)) (* (/ (neg x) (/ -1 y)) y) (neg x) (* (* (* x y) (sqrt y)) (sqrt y)) (* (* x y) (sqrt y)) (* x y) (sqrt y) (* (pow y 5/4) (* (pow y 3/4) x)) (pow y 5/4) (* (pow y 3/4) x) (pow y 3/4) (/ (/ (* x y) (pow y -1/2)) (pow y -1/2)) (/ (* x y) (pow y -1/2)) (pow y -1/2))
72.0ms
y
@0
((/ (* (neg y) x) (/ -1 y)) (* (neg y) x) (neg y) (/ -1 y) (/ (neg x) (/ -1 y)) (* (/ (neg x) (/ -1 y)) y) (neg x) (* (* (* x y) (sqrt y)) (sqrt y)) (* (* x y) (sqrt y)) (* x y) (sqrt y) (* (pow y 5/4) (* (pow y 3/4) x)) (pow y 5/4) (* (pow y 3/4) x) (pow y 3/4) (/ (/ (* x y) (pow y -1/2)) (pow y -1/2)) (/ (* x y) (pow y -1/2)) (pow y -1/2))
43.0ms
x
@0
((/ (* (neg y) x) (/ -1 y)) (* (neg y) x) (neg y) (/ -1 y) (/ (neg x) (/ -1 y)) (* (/ (neg x) (/ -1 y)) y) (neg x) (* (* (* x y) (sqrt y)) (sqrt y)) (* (* x y) (sqrt y)) (* x y) (sqrt y) (* (pow y 5/4) (* (pow y 3/4) x)) (pow y 5/4) (* (pow y 3/4) x) (pow y 3/4) (/ (/ (* x y) (pow y -1/2)) (pow y -1/2)) (/ (* x y) (pow y -1/2)) (pow y -1/2))
31.0ms
x
@inf
((/ (* (neg y) x) (/ -1 y)) (* (neg y) x) (neg y) (/ -1 y) (/ (neg x) (/ -1 y)) (* (/ (neg x) (/ -1 y)) y) (neg x) (* (* (* x y) (sqrt y)) (sqrt y)) (* (* x y) (sqrt y)) (* x y) (sqrt y) (* (pow y 5/4) (* (pow y 3/4) x)) (pow y 5/4) (* (pow y 3/4) x) (pow y 3/4) (/ (/ (* x y) (pow y -1/2)) (pow y -1/2)) (/ (* x y) (pow y -1/2)) (pow y -1/2))
24.0ms
y
@inf
((/ (* (neg y) x) (/ -1 y)) (* (neg y) x) (neg y) (/ -1 y) (/ (neg x) (/ -1 y)) (* (/ (neg x) (/ -1 y)) y) (neg x) (* (* (* x y) (sqrt y)) (sqrt y)) (* (* x y) (sqrt y)) (* x y) (sqrt y) (* (pow y 5/4) (* (pow y 3/4) x)) (pow y 5/4) (* (pow y 3/4) x) (pow y 3/4) (/ (/ (* x y) (pow y -1/2)) (pow y -1/2)) (/ (* x y) (pow y -1/2)) (pow y -1/2))

simplify121.0ms (4.1%)

Memory
11.6MiB live, 56.3MiB allocated; 5ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
056125
1142122
2395112
31028112
42783109
08401109
Stop Event
1×iter limit
1×node limit
Counts
22 → 22
Calls
Call 1
Inputs
(* x (pow y 2))
(* -1 (* x y))
(* x y)
(* -1 x)
(* x (sqrt (pow y 3)))
(* (pow (* 1 (pow y 3)) 1/4) x)
(* -1 y)
(/ -1 y)
(sqrt y)
(pow (* 1 (pow y 5)) 1/4)
(pow (* 1 (pow y 3)) 1/4)
(sqrt (/ 1 y))
(* -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)))
(* x (* (pow y 2) (sqrt -1)))
(exp (* 1/4 (+ (log -1) (* -5 (log (/ -1 y))))))
(* x (exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 y)))))))
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 y))))))
(* -1 (/ (* x (pow y 2)) (pow (sqrt -1) 2)))
(* -1 (* x (sqrt (pow y 3))))
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2))
Outputs
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* x y)
(*.f64 x y)
(* -1 x)
(neg.f64 x)
(* x (sqrt (pow y 3)))
(*.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) x)
(* (pow (* 1 (pow y 3)) 1/4) x)
(*.f64 (pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/4 binary64)) x)
(* -1 y)
(neg.f64 y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(sqrt y)
(sqrt.f64 y)
(pow (* 1 (pow y 5)) 1/4)
(pow.f64 (pow.f64 y #s(literal 5 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow y 3)) 1/4)
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/4 binary64))
(sqrt (/ 1 y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(* -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)
(* x (* (pow y 2) (sqrt -1)))
(*.f64 (*.f64 y y) x)
(exp (* 1/4 (+ (log -1) (* -5 (log (/ -1 y))))))
(pow.f64 (neg.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -5 binary64))) #s(literal 1/4 binary64))
(* x (exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 y)))))))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64))) #s(literal 1/4 binary64)) x)
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 y))))))
(pow.f64 (neg.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64))) #s(literal 1/4 binary64))
(* -1 (/ (* x (pow y 2)) (pow (sqrt -1) 2)))
(*.f64 (*.f64 y y) x)
(* -1 (* x (sqrt (pow y 3))))
(*.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) (neg.f64 x))
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))

rewrite192.0ms (6.4%)

Memory
4.9MiB live, 105.8MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02494
04287
110582
235370
3164866
0847966
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
18 → 1 819
Calls
Call 1
Inputs
(/.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) y))
(*.f64 (neg.f64 y) x)
(neg.f64 y)
(/.f64 #s(literal -1 binary64) y)
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y)) y)
(neg.f64 x)
(*.f64 (*.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 x y) (sqrt.f64 y))
(*.f64 x y)
(sqrt.f64 y)
(*.f64 (pow.f64 y #s(literal 5/4 binary64)) (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x))
(pow.f64 y #s(literal 5/4 binary64))
(*.f64 (pow.f64 y #s(literal 3/4 binary64)) x)
(pow.f64 y #s(literal 3/4 binary64))
(/.f64 (/.f64 (*.f64 x y) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 (*.f64 x y) (pow.f64 y #s(literal -1/2 binary64)))
(pow.f64 y #s(literal -1/2 binary64))
Outputs
(*.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 11/8 binary64)) x) (pow.f64 y #s(literal 5/16 binary64)))) (pow.f64 y #s(literal 5/16 binary64)))
(*.f64 (neg.f64 (*.f64 x (pow.f64 y #s(literal 13/8 binary64)))) (pow.f64 y #s(literal 3/8 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (pow.f64 y #s(literal 1/4 binary64))) (neg.f64 (pow.f64 y #s(literal 1/4 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 (pow.f64 y #s(literal 11/8 binary64)) x) (pow.f64 y #s(literal 5/16 binary64))) (neg.f64 (pow.f64 y #s(literal 5/16 binary64))))
(*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 11/8 binary64)) x) (pow.f64 y #s(literal 5/16 binary64))) (pow.f64 y #s(literal 5/16 binary64)))
(*.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))))
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(*.f64 (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 -1/4 binary64))) (pow.f64 y #s(literal -1/4 binary64)))
(*.f64 (pow.f64 y #s(literal -1/4 binary64)) (neg.f64 (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)))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) #s(literal 2 binary64)) (log.f64 (sqrt.f64 y)))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) #s(literal 1 binary64)) (log.f64 y))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 y)))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 y))
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/8 binary64))
(pow.f64 (pow.f64 y #s(literal -1/8 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal -2 binary64))
(pow.f64 (neg.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 -1/4 binary64)) #s(literal 2 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 (-.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) #s(literal 2 binary64))) (-.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) (cosh.f64 (log.f64 (sqrt.f64 y)))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) #s(literal 2 binary64)) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) (cosh.f64 (log.f64 (sqrt.f64 y)))))))
(/.f64 (+.f64 (pow.f64 (neg.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))) (+.f64 (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 (neg.f64 (cosh.f64 (log.f64 (sqrt.f64 y)))) (sinh.f64 (log.f64 (sqrt.f64 y)))))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) (+.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 y))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (sqrt.f64 y))) (-.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 y))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)))))))
(/.f64 (fma.f64 (-.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 y)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 y)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (+.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 y)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 y)))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) #s(literal 3 binary64)))) (fabs.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))))))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 y))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (neg.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)))))))
(/.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (cosh.f64 (log.f64 (sqrt.f64 y)))) (sinh.f64 (log.f64 (sqrt.f64 y)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 y))
(/.f64 #s(literal -1 binary64) (sqrt.f64 y))
(neg.f64 (pow.f64 y #s(literal -1/2 binary64)))
(fma.f64 (neg.f64 (pow.f64 y #s(literal -1/4 binary64))) (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y))) (*.f64 (neg.f64 (pow.f64 y #s(literal -1/4 binary64))) (sinh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y)))))
(fma.f64 (pow.f64 y #s(literal -1/4 binary64)) (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y))) (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (sinh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y)))))
(sqrt.f64 (pow.f64 y #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (sqrt.f64 y)))
(fabs.f64 (pow.f64 y #s(literal -1/2 binary64)))
(exp.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (neg.f64 (log.f64 y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1/2 binary64))) (log.f64 y)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (neg.f64 (log.f64 (sqrt.f64 y))))
(exp.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal -1/4 binary64))) (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y)))) (*.f64 (neg.f64 (pow.f64 y #s(literal -1/4 binary64))) (sinh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y)))))
(+.f64 (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y)))) (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (sinh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y)))))
(+.f64 (neg.f64 (neg.f64 (cosh.f64 (log.f64 (sqrt.f64 y))))) (neg.f64 (sinh.f64 (log.f64 (sqrt.f64 y)))))
(+.f64 (/.f64 (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) #s(literal 3 binary64)) (+.f64 (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))))))) (/.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))))))))
(+.f64 (neg.f64 (cosh.f64 (log.f64 (sqrt.f64 y)))) (sinh.f64 (log.f64 (sqrt.f64 y))))
(+.f64 (sinh.f64 (log.f64 (sqrt.f64 y))) (neg.f64 (cosh.f64 (log.f64 (sqrt.f64 y)))))
(+.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) (cosh.f64 (log.f64 (sqrt.f64 y))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))))

eval191.0ms (6.4%)

Memory
-4.7MiB live, 132.6MiB allocated; 17ms collecting garbage
Compiler

Compiled 19 381 to 2 664 computations (86.3% saved)

prune30.0ms (1%)

Memory
5.7MiB live, 52.5MiB allocated; 2ms collecting garbage
Pruning

11 alts after pruning (4 fresh and 7 done)

PrunedKeptTotal
New99831 001
Fresh213
Picked145
Done033
Total1 001111 012
Accuracy
100.0%
Counts
1 012 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.6%
(/.f64 (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) (pow.f64 y #s(literal -1/2 binary64)))
✓99.7%
(/.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) y))
▶85.7%
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
✓97.1%
(*.f64 (pow.f64 y #s(literal 5/4 binary64)) (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x))
✓99.6%
(*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y)) y)
▶99.7%
(*.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) y) (sqrt.f64 y))
✓99.5%
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y)
▶99.5%
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) x) y) (sqrt.f64 y))
✓99.5%
(*.f64 (*.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
✓86.0%
(*.f64 (*.f64 y y) x)
✓99.7%
(*.f64 (*.f64 x y) y)
Compiler

Compiled 93 to 73 computations (21.5% saved)

simplify110.0ms (3.7%)

Memory
9.9MiB live, 55.8MiB allocated; 4ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

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

Useful iterations: 2 (0.0ms)

IterNodesCost
020112
036106
168106
217098
338298
492498
5198198
6244298
7266198
8266398
9266398
10266798
11266798
12266798
13266798
0266798
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) x) y) (sqrt.f64 y))
(*.f64 (*.f64 (sqrt.f64 y) x) y)
(*.f64 (sqrt.f64 y) x)
(sqrt.f64 y)
y
x
(*.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) y) (sqrt.f64 y))
(*.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) y)
(/.f64 x (pow.f64 y #s(literal -1/2 binary64)))
x
(pow.f64 y #s(literal -1/2 binary64))
y
#s(literal -1/2 binary64)
(sqrt.f64 y)
(/.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) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(*.f64 x y)
x
y
(/.f64 #s(literal 1 binary64) (sqrt.f64 y))
#s(literal 1 binary64)
(sqrt.f64 y)
(pow.f64 y #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
Outputs
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) x) y) (sqrt.f64 y))
(*.f64 (*.f64 x y) y)
(*.f64 (*.f64 (sqrt.f64 y) x) y)
(*.f64 (*.f64 x (sqrt.f64 y)) y)
(*.f64 (sqrt.f64 y) x)
(*.f64 x (sqrt.f64 y))
(sqrt.f64 y)
y
x
(*.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) y) (sqrt.f64 y))
(*.f64 (/.f64 y (pow.f64 y #s(literal -1/2 binary64))) (*.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) y)
(/.f64 x (pow.f64 y #s(literal -1/2 binary64)))
x
(pow.f64 y #s(literal -1/2 binary64))
y
#s(literal -1/2 binary64)
(sqrt.f64 y)
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (*.f64 x y) y)
(*.f64 x #s(literal 1 binary64))
x
x
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(*.f64 y y)
y
(/.f64 (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (/.f64 y (pow.f64 y #s(literal -1/2 binary64))) (*.f64 x (sqrt.f64 y)))
(/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(*.f64 (*.f64 x (sqrt.f64 y)) y)
(*.f64 x y)
x
y
(/.f64 #s(literal 1 binary64) (sqrt.f64 y))
#s(literal 1 binary64)
(sqrt.f64 y)
(pow.f64 y #s(literal -1/2 binary64))
#s(literal -1/2 binary64)

localize76.0ms (2.5%)

Memory
14.7MiB live, 114.9MiB allocated; 10ms collecting garbage
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(pow.f64 y #s(literal -1/2 binary64))
accuracy0.16244125976844204
(/.f64 (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) (pow.f64 y #s(literal -1/2 binary64)))
accuracy0.209316259768442
(/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
accuracy0.22265625
(/.f64 #s(literal 1 binary64) (sqrt.f64 y))
accuracy0.0
(*.f64 y y)
accuracy0.0
(*.f64 x #s(literal 1 binary64))
accuracy0.28102419915318366
(/.f64 #s(literal 1 binary64) (*.f64 y y))
accuracy9.013542798162414
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
accuracy0.00390625
(pow.f64 y #s(literal -1/2 binary64))
accuracy0.178066259768442
(*.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) y) (sqrt.f64 y))
accuracy0.18359375
(/.f64 x (pow.f64 y #s(literal -1/2 binary64)))
accuracy0.1875
(*.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) y)
accuracy0.0
(sqrt.f64 y)
accuracy0.178066259768442
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) x) y) (sqrt.f64 y))
accuracy0.1875
(*.f64 (*.f64 (sqrt.f64 y) x) y)
accuracy0.19921875
(*.f64 (sqrt.f64 y) x)
Samples
62.0ms256×0valid
Compiler

Compiled 114 to 22 computations (80.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-mult: 19.0ms (47% of total)
ival-div: 14.0ms (34.6% of total)
ival-pow: 5.0ms (12.4% of total)
ival-sqrt: 2.0ms (4.9% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series27.0ms (0.9%)

Memory
-20.3MiB live, 26.4MiB allocated; 7ms collecting garbage
Counts
16 → 17
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) x) y) (sqrt.f64 y))
(*.f64 (*.f64 (sqrt.f64 y) x) y)
(*.f64 (sqrt.f64 y) x)
(sqrt.f64 y)
(*.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) y) (sqrt.f64 y))
(*.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) y)
(/.f64 x (pow.f64 y #s(literal -1/2 binary64)))
(pow.f64 y #s(literal -1/2 binary64))
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(*.f64 y y)
(/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(/.f64 (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 x y)
(/.f64 #s(literal 1 binary64) (sqrt.f64 y))
Outputs
(* x (pow y 2))
(* x (sqrt (pow y 3)))
(* x (sqrt y))
x
(* x y)
(sqrt y)
(sqrt (/ 1 y))
(/ 1 (pow y 2))
(pow y 2)
(* -1 (* x (* (pow y 2) (pow (sqrt -1) 2))))
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (pow y 3))))
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt y)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (sqrt (pow y 3))))
(* -1 (* x (sqrt y)))
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2))
Calls

6 calls:

TimeVariablePointExpression
14.0ms
x
@inf
((* (* (* (sqrt y) x) y) (sqrt y)) (* (* (sqrt y) x) y) (* (sqrt y) x) (sqrt y) (* (* (/ x (pow y -1/2)) y) (sqrt y)) (* (/ x (pow y -1/2)) y) (/ x (pow y -1/2)) (pow y -1/2) (/ (* x 1) (/ 1 (* y y))) (* x 1) (/ 1 (* y y)) (* y y) (/ (* x y) (/ 1 (sqrt y))) (/ (/ (* x y) (/ 1 (sqrt y))) (pow y -1/2)) (* x y) (/ 1 (sqrt y)))
4.0ms
y
@-inf
((* (* (* (sqrt y) x) y) (sqrt y)) (* (* (sqrt y) x) y) (* (sqrt y) x) (sqrt y) (* (* (/ x (pow y -1/2)) y) (sqrt y)) (* (/ x (pow y -1/2)) y) (/ x (pow y -1/2)) (pow y -1/2) (/ (* x 1) (/ 1 (* y y))) (* x 1) (/ 1 (* y y)) (* y y) (/ (* x y) (/ 1 (sqrt y))) (/ (/ (* x y) (/ 1 (sqrt y))) (pow y -1/2)) (* x y) (/ 1 (sqrt y)))
2.0ms
x
@-inf
((* (* (* (sqrt y) x) y) (sqrt y)) (* (* (sqrt y) x) y) (* (sqrt y) x) (sqrt y) (* (* (/ x (pow y -1/2)) y) (sqrt y)) (* (/ x (pow y -1/2)) y) (/ x (pow y -1/2)) (pow y -1/2) (/ (* x 1) (/ 1 (* y y))) (* x 1) (/ 1 (* y y)) (* y y) (/ (* x y) (/ 1 (sqrt y))) (/ (/ (* x y) (/ 1 (sqrt y))) (pow y -1/2)) (* x y) (/ 1 (sqrt y)))
2.0ms
y
@inf
((* (* (* (sqrt y) x) y) (sqrt y)) (* (* (sqrt y) x) y) (* (sqrt y) x) (sqrt y) (* (* (/ x (pow y -1/2)) y) (sqrt y)) (* (/ x (pow y -1/2)) y) (/ x (pow y -1/2)) (pow y -1/2) (/ (* x 1) (/ 1 (* y y))) (* x 1) (/ 1 (* y y)) (* y y) (/ (* x y) (/ 1 (sqrt y))) (/ (/ (* x y) (/ 1 (sqrt y))) (pow y -1/2)) (* x y) (/ 1 (sqrt y)))
2.0ms
y
@0
((* (* (* (sqrt y) x) y) (sqrt y)) (* (* (sqrt y) x) y) (* (sqrt y) x) (sqrt y) (* (* (/ x (pow y -1/2)) y) (sqrt y)) (* (/ x (pow y -1/2)) y) (/ x (pow y -1/2)) (pow y -1/2) (/ (* x 1) (/ 1 (* y y))) (* x 1) (/ 1 (* y y)) (* y y) (/ (* x y) (/ 1 (sqrt y))) (/ (/ (* x y) (/ 1 (sqrt y))) (pow y -1/2)) (* x y) (/ 1 (sqrt y)))

simplify125.0ms (4.2%)

Memory
-2.2MiB live, 44.0MiB allocated; 3ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03376
18073
223172
358972
4101672
5138372
6175872
7183472
8184272
9184472
10184472
11217672
12227372
13227572
14227572
15227572
16263572
17409372
18433272
19433372
20433372
21433372
22511172
23511372
24511372
0511372
Stop Event
1×iter limit
1×saturated
Counts
17 → 16
Calls
Call 1
Inputs
(* x (pow y 2))
(* x (sqrt (pow y 3)))
(* x (sqrt y))
x
(* x y)
(sqrt y)
(sqrt (/ 1 y))
(/ 1 (pow y 2))
(pow y 2)
(* -1 (* x (* (pow y 2) (pow (sqrt -1) 2))))
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (pow y 3))))
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt y)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (sqrt (pow y 3))))
(* -1 (* x (sqrt y)))
(* (sqrt (/ 1 y)) (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 (sqrt y))
(*.f64 (sqrt.f64 y) x)
x
(* x y)
(*.f64 x y)
(sqrt y)
(sqrt.f64 y)
(sqrt (/ 1 y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(/ 1 (pow y 2))
(/.f64 (/.f64 #s(literal 1 binary64) y) y)
(pow y 2)
(*.f64 y 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 (* (* x (pow (sqrt -1) 2)) (sqrt y)))
(*.f64 (sqrt.f64 y) x)
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(sqrt.f64 y)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 x y) y)
(* -1 (* x (sqrt (pow y 3))))
(*.f64 (neg.f64 x) (sqrt.f64 (pow.f64 y #s(literal 3 binary64))))
(* -1 (* x (sqrt y)))
(*.f64 (neg.f64 x) (sqrt.f64 y))
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))

rewrite156.0ms (5.2%)

Memory
14.1MiB live, 114.4MiB allocated; 110ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02093
03682
110080
238161
0181561
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
16 → 946
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) x) y) (sqrt.f64 y))
(*.f64 (*.f64 (sqrt.f64 y) x) y)
(*.f64 (sqrt.f64 y) x)
(sqrt.f64 y)
(*.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) y) (sqrt.f64 y))
(*.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) y)
(/.f64 x (pow.f64 y #s(literal -1/2 binary64)))
(pow.f64 y #s(literal -1/2 binary64))
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(*.f64 y y)
(/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(/.f64 (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 x y)
(/.f64 #s(literal 1 binary64) (sqrt.f64 y))
Outputs
(*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal 1/4 binary64))) (/.f64 x (pow.f64 y #s(literal -1/4 binary64))))
(*.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (/.f64 y #s(literal -1 binary64))) (neg.f64 (sqrt.f64 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 (sqrt.f64 y) (/.f64 y (pow.f64 y #s(literal -1/4 binary64)))) (/.f64 x (pow.f64 y #s(literal -1/4 binary64))))
(*.f64 (*.f64 (sqrt.f64 y) (/.f64 x (pow.f64 y #s(literal -1/4 binary64)))) (/.f64 y (pow.f64 y #s(literal -1/4 binary64))))
(*.f64 (/.f64 (*.f64 (neg.f64 x) y) (pow.f64 y #s(literal -1/4 binary64))) (/.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 y #s(literal -1/4 binary64))))
(*.f64 (/.f64 (*.f64 (neg.f64 x) y) (pow.f64 y #s(literal -1/4 binary64))) (/.f64 (sqrt.f64 y) (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))))
(*.f64 (/.f64 (*.f64 (neg.f64 x) y) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal 3/4 binary64)))
(*.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal -1/4 binary64))) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))))
(*.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal -1/4 binary64))) (*.f64 y (pow.f64 y #s(literal 3/4 binary64))))
(*.f64 (/.f64 (/.f64 y (pow.f64 y #s(literal -1/4 binary64))) (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))) (*.f64 (neg.f64 x) (sqrt.f64 y)))
(*.f64 (/.f64 (/.f64 y (pow.f64 y #s(literal -1/4 binary64))) (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))) (*.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))) (/.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))) (*.f64 (*.f64 x y) (pow.f64 y #s(literal 3/4 binary64))))
(*.f64 (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))) (/.f64 x (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))))
(*.f64 (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))) (/.f64 x (pow.f64 y #s(literal -1/4 binary64))))
(*.f64 (/.f64 x (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))) (/.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal -1/4 binary64))))
(*.f64 (/.f64 x (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))))
(*.f64 (/.f64 x (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))) (*.f64 y (pow.f64 y #s(literal 3/4 binary64))))
(*.f64 (/.f64 (*.f64 x y) (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))) (/.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 y #s(literal -1/4 binary64))))
(*.f64 (/.f64 (*.f64 x y) (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))) (/.f64 (sqrt.f64 y) (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))))
(*.f64 (/.f64 (*.f64 x y) (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))) (pow.f64 y #s(literal 3/4 binary64)))
(*.f64 (/.f64 (*.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal -1/4 binary64))) (/.f64 y (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))))
(*.f64 (/.f64 (*.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal -1/4 binary64))) (/.f64 y (pow.f64 y #s(literal -1/4 binary64))))
(*.f64 (/.f64 (*.f64 x (sqrt.f64 y)) (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))) (/.f64 y (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))))
(*.f64 (/.f64 (*.f64 x (sqrt.f64 y)) (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))) (/.f64 y (pow.f64 y #s(literal -1/4 binary64))))
(*.f64 (/.f64 y (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))) (/.f64 (*.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal -1/4 binary64))))
(*.f64 (/.f64 y (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))) (/.f64 (*.f64 x (sqrt.f64 y)) (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -3/4 binary64))) (*.f64 x (/.f64 y (pow.f64 y #s(literal -1/4 binary64)))))
(*.f64 (/.f64 x (pow.f64 y #s(literal -3/4 binary64))) (/.f64 y (pow.f64 y #s(literal -1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 y) (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))) (/.f64 (*.f64 x y) (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))))
(*.f64 (/.f64 (sqrt.f64 y) (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))) (*.f64 x (/.f64 y (pow.f64 y #s(literal -1/4 binary64)))))
(*.f64 (/.f64 y #s(literal -1 binary64)) (*.f64 (neg.f64 (sqrt.f64 y)) (*.f64 x (sqrt.f64 y))))
(*.f64 (*.f64 x (/.f64 y (pow.f64 y #s(literal -1/4 binary64)))) (/.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 y #s(literal -1/4 binary64))))
(*.f64 (*.f64 x (/.f64 y (pow.f64 y #s(literal -1/4 binary64)))) (/.f64 (sqrt.f64 y) (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))))
(*.f64 (*.f64 x (/.f64 y (pow.f64 y #s(literal -1/4 binary64)))) (pow.f64 y #s(literal 3/4 binary64)))
(*.f64 (*.f64 (*.f64 x y) (pow.f64 y #s(literal 3/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 x y) y) #s(literal 1 binary64))
(*.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (/.f64 (/.f64 y (pow.f64 y #s(literal -1/4 binary64))) (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))))
(*.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (neg.f64 (pow.f64 y #s(literal 3/2 binary64))))
(*.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (pow.f64 y #s(literal 3/2 binary64)))
(*.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (*.f64 (neg.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 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (*.f64 x y) (pow.f64 y #s(literal 3/4 binary64))))
(*.f64 (/.f64 y (pow.f64 y #s(literal -1/4 binary64))) (/.f64 (/.f64 x (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 y (pow.f64 y #s(literal -1/4 binary64))) (/.f64 (/.f64 x (pow.f64 y #s(literal -1/4 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 y))))
(*.f64 (/.f64 y (pow.f64 y #s(literal -1/4 binary64))) (*.f64 (/.f64 x (pow.f64 y #s(literal -1/4 binary64))) (sqrt.f64 y)))
(*.f64 (/.f64 y (pow.f64 y #s(literal -1/4 binary64))) (/.f64 (*.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal -1/4 binary64))))
(*.f64 (/.f64 y (pow.f64 y #s(literal -1/4 binary64))) (/.f64 (*.f64 x (sqrt.f64 y)) (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))))
(*.f64 (pow.f64 y #s(literal 3/4 binary64)) (/.f64 (*.f64 x y) (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))))
(*.f64 (pow.f64 y #s(literal 3/4 binary64)) (*.f64 x (/.f64 y (pow.f64 y #s(literal -1/4 binary64)))))
(*.f64 (*.f64 y (pow.f64 y #s(literal 3/4 binary64))) (/.f64 x (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))))
(*.f64 (*.f64 y (pow.f64 y #s(literal 3/4 binary64))) (/.f64 x (pow.f64 y #s(literal -1/4 binary64))))
(*.f64 (/.f64 x (pow.f64 y #s(literal -1/4 binary64))) (/.f64 (/.f64 y (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 x (pow.f64 y #s(literal -1/4 binary64))) (/.f64 (/.f64 y (pow.f64 y #s(literal -1/4 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 y))))
(*.f64 (/.f64 x (pow.f64 y #s(literal -1/4 binary64))) (*.f64 (/.f64 y (pow.f64 y #s(literal -1/4 binary64))) (sqrt.f64 y)))
(*.f64 (/.f64 x (pow.f64 y #s(literal -1/4 binary64))) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 3/2 binary64))))
(*.f64 (/.f64 x (pow.f64 y #s(literal -1/4 binary64))) (/.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal -1/4 binary64))))
(*.f64 (/.f64 x (pow.f64 y #s(literal -1/4 binary64))) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))))
(*.f64 (/.f64 x (pow.f64 y #s(literal -1/4 binary64))) (*.f64 y (pow.f64 y #s(literal 3/4 binary64))))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (neg.f64 x) (sqrt.f64 y)))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 x (sqrt.f64 y)))
(*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (neg.f64 x)) (neg.f64 (sqrt.f64 y)))
(*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (neg.f64 x)) (sqrt.f64 y))
(*.f64 (*.f64 (neg.f64 x) y) (/.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (*.f64 (neg.f64 x) y) (/.f64 (sqrt.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 y))))
(*.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y)))
(*.f64 (*.f64 (neg.f64 x) y) (/.f64 y #s(literal -1 binary64)))
(*.f64 (*.f64 (neg.f64 x) y) (neg.f64 y))
(*.f64 (*.f64 (neg.f64 x) y) y)
(*.f64 (neg.f64 x) (/.f64 (*.f64 y y) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 y))))
(*.f64 (neg.f64 x) (*.f64 y y))
(*.f64 (neg.f64 y) (*.f64 (neg.f64 x) y))
(*.f64 (neg.f64 y) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) y))
(*.f64 (*.f64 x y) (/.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (*.f64 x y) (/.f64 (sqrt.f64 y) (/.f64 #s(literal -1 binary64) (sqrt.f64 y))))
(*.f64 (*.f64 x y) (neg.f64 y))
(*.f64 (*.f64 x y) y)
(*.f64 (*.f64 y y) (neg.f64 x))
(*.f64 (*.f64 y y) x)
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) y))
(*.f64 (*.f64 x (sqrt.f64 y)) (/.f64 (/.f64 y (pow.f64 y #s(literal -1/4 binary64))) (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))))
(*.f64 (*.f64 x (sqrt.f64 y)) (neg.f64 (pow.f64 y #s(literal 3/2 binary64))))
(*.f64 (*.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal 3/2 binary64)))
(*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (neg.f64 (sqrt.f64 y)))
(*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (sqrt.f64 y))
(*.f64 x (/.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 x (/.f64 (*.f64 y y) #s(literal 1 binary64)))
(*.f64 x (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 y))))
(*.f64 x (*.f64 y y))
(*.f64 (sqrt.f64 y) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (neg.f64 x)))
(*.f64 (sqrt.f64 y) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x))
(*.f64 y (/.f64 (*.f64 x (sqrt.f64 y)) (/.f64 #s(literal -1 binary64) (sqrt.f64 y))))
(*.f64 y (*.f64 x y))
(/.f64 (/.f64 (*.f64 (*.f64 x y) (pow.f64 y #s(literal 3/4 binary64))) (pow.f64 y #s(literal -1/8 binary64))) (pow.f64 y #s(literal -1/8 binary64)))
(/.f64 (*.f64 (*.f64 x (/.f64 y (pow.f64 y #s(literal -1/4 binary64)))) (sqrt.f64 y)) (pow.f64 y #s(literal -1/4 binary64)))
(/.f64 (*.f64 y (*.f64 (neg.f64 x) y)) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (neg.f64 x)) (pow.f64 y #s(literal -1/4 binary64))) (neg.f64 (pow.f64 y #s(literal -1/4 binary64))))
(/.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (neg.f64 x)) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -1/4 binary64)))
(/.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))) (neg.f64 (pow.f64 y #s(literal -1/4 binary64))))
(/.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))) (pow.f64 y #s(literal -1/4 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 x y) (pow.f64 y #s(literal 3/4 binary64)))) (neg.f64 (pow.f64 y #s(literal -1/4 binary64))))
(/.f64 (*.f64 (neg.f64 y) (/.f64 x (pow.f64 y #s(literal -1/4 binary64)))) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) (pow.f64 y #s(literal -1/4 binary64))))
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(+.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) (cosh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))))
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eval136.0ms (4.6%)

Memory
5.8MiB live, 130.7MiB allocated; 39ms collecting garbage
Compiler

Compiled 7 218 to 1 289 computations (82.1% saved)

prune49.0ms (1.7%)

Memory
-20.3MiB live, 32.7MiB allocated; 30ms collecting garbage
Pruning

12 alts after pruning (3 fresh and 9 done)

PrunedKeptTotal
New5193522
Fresh000
Picked224
Done077
Total52112533
Accuracy
100.0%
Counts
533 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(/.f64 (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
✓99.7%
(/.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) y))
85.7%
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y)))
✓97.1%
(*.f64 (pow.f64 y #s(literal 5/4 binary64)) (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x))
✓99.6%
(*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y)) y)
✓99.7%
(*.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) y) (sqrt.f64 y))
99.5%
(*.f64 (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) y) (sqrt.f64 y))
✓99.5%
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y)
✓99.5%
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) x) y) (sqrt.f64 y))
✓99.5%
(*.f64 (*.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
✓86.0%
(*.f64 (*.f64 y y) x)
✓99.7%
(*.f64 (*.f64 x y) y)
Compiler

Compiled 296 to 145 computations (51% saved)

regimes16.0ms (0.5%)

Memory
23.7MiB live, 23.7MiB allocated; 0ms collecting garbage
Accuracy

Total -9.2b remaining (-4831.5%)

Threshold costs -9.2b (-4831.5%)

Counts
21 → 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 (neg.f64 x) (/.f64 #s(literal -1 binary64) y)) y)
(/.f64 (*.f64 (neg.f64 y) x) (/.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 x (sqrt.f64 y)) y) (sqrt.f64 y))
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) x) y) (sqrt.f64 y))
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y)
(*.f64 (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) y) (sqrt.f64 y))
(/.f64 (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(/.f64 (*.f64 x #s(literal 1 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)) (*.f64 (sqrt.f64 y) x))
(*.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) y) (sqrt.f64 y))
(/.f64 (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (pow.f64 y #s(literal 5/4 binary64)) (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x))
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64))) y)
(/.f64 (/.f64 (*.f64 x y) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 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:

5.0ms
y
5.0ms
x
5.0ms
(*.f64 (*.f64 x y) y)
Results
AccuracySegmentsBranch
99.7%1(*.f64 (*.f64 x y) y)
99.7%1x
99.7%1y
Compiler

Compiled 7 to 8 computations (-14.3% saved)

simplify10.0ms (0.3%)

Memory
16.8MiB live, 16.8MiB allocated; 0ms collecting garbage
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)

derivations0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 5 to 4 computations (20% saved)

preprocess45.0ms (1.5%)

Memory
0.4MiB live, 46.3MiB allocated; 9ms collecting garbage
Remove

(negabs x)

(abs y)

Compiler

Compiled 60 to 48 computations (20% saved)

end0.0ms (0%)

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

Profiling

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