Data.HyperLogLog.Config:hll from hyperloglog-0.3.4

Time bar (total: 3.6s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.9MiB live, 0.9MiB 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)

sample568.0ms (16%)

Memory
40.7MiB live, 709.4MiB allocated
Samples
357.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 113.0ms
ival-mult: 104.0ms (92% of total)
ival-true: 6.0ms (5.3% of total)
ival-assert: 3.0ms (2.7% of total)
Bogosity

explain63.0ms (1.8%)

Memory
-5.7MiB live, 71.0MiB 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
19.0ms512×0valid
Compiler

Compiled 29 to 16 computations (44.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 7.0ms (93% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess33.0ms (0.9%)

Memory
4.7MiB live, 41.5MiB 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
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.1MiB live, 1.1MiB 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 (0.1%)

Memory
11.2MiB live, 11.2MiB 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

localize16.0ms (0.5%)

Memory
-20.6MiB live, 28.1MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x y)
accuracy0.13671875
(*.f64 (*.f64 x y) y)
Samples
13.0ms256×0valid
Compiler

Compiled 12 to 6 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 4.0ms (90.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
11.8MiB live, 11.8MiB 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
1.0ms
x
@-inf
((* (* x y) y) (* x y))
1.0ms
x
@0
((* (* 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))

simplify7.0ms (0.2%)

Memory
-31.8MiB live, 5.4MiB 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)

rewrite184.0ms (5.2%)

Memory
7.9MiB live, 239.6MiB 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))))

eval9.0ms (0.3%)

Memory
22.5MiB live, 22.5MiB allocated
Compiler

Compiled 1 322 to 224 computations (83.1% saved)

prune5.0ms (0.1%)

Memory
12.5MiB live, 12.5MiB 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
▶86.7%
(/.f64 (*.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64)))
▶94.8%
(*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (sqrt.f64 y))
▶99.5%
(*.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)
▶99.6%
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y)
▶86.8%
(*.f64 (*.f64 y y) x)
✓99.8%
(*.f64 (*.f64 x y) y)
Compiler

Compiled 91 to 70 computations (23.1% saved)

simplify180.0ms (5%)

Memory
-13.3MiB live, 74.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
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)))
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
(*.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: 3 (0.0ms)

IterNodesCost
022118
038109
171109
218185
345184
4139984
5305284
6351084
7356584
8360484
9361284
10362084
11378184
12378784
13378984
14378984
15378984
16378984
17544284
18544484
19544484
0544484
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 (*.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
Outputs
(*.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 y y) x)
(*.f64 (*.f64 x y) y)
(*.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 (*.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)
(*.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

localize82.0ms (2.3%)

Memory
5.5MiB live, 80.9MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.13671875
(*.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)
accuracy0.2109375
(*.f64 (sqrt.f64 y) x)
accuracy0.23828125
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 y) x)))
accuracy0.28125
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 y) x))
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))
accuracy6.777650911002894
(*.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))
accuracy8.514426350401465
(/.f64 (*.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64)))
accuracy0.0
(*.f64 y y)
accuracy8.423744906417543
(*.f64 (*.f64 y y) x)
accuracy0.0
(sqrt.f64 y)
accuracy0.13671875
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y)
accuracy0.2109375
(*.f64 (sqrt.f64 y) x)
accuracy0.25619125976844204
(*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y))
Samples
69.0ms256×0valid
Compiler

Compiled 120 to 24 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-pow: 29.0ms (52.7% of total)
ival-mult: 21.0ms (38.1% of total)
ival-div: 2.0ms (3.6% of total)
ival-sqrt: 2.0ms (3.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series257.0ms (7.2%)

Memory
-8.9MiB live, 189.1MiB allocated
Counts
16 → 20
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 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))
Outputs
(* x y)
(* x (pow y 2))
(* x (sqrt y))
x
(* x (sqrt (pow y 3)))
(* (pow (* 1 (pow y 3)) 1/4) x)
(sqrt y)
(pow y 2)
(/ 1 (pow y 2))
(sqrt (pow y 3))
(pow (* 1 y) 1/4)
(* -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))
(* x (* (exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 y)))))) (sqrt -1)))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y))))))
Calls

6 calls:

TimeVariablePointExpression
76.0ms
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 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))
62.0ms
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 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))
42.0ms
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 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))
38.0ms
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 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))
28.0ms
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 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))

simplify197.0ms (5.5%)

Memory
16.6MiB live, 169.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
050107
113196
241592
3108792
4245888
0843688
Stop Event
1×iter limit
1×node limit
Counts
20 → 19
Calls
Call 1
Inputs
(* x y)
(* x (pow y 2))
(* x (sqrt y))
x
(* x (sqrt (pow y 3)))
(* (pow (* 1 (pow y 3)) 1/4) x)
(sqrt y)
(pow y 2)
(/ 1 (pow y 2))
(sqrt (pow y 3))
(pow (* 1 y) 1/4)
(* -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))
(* x (* (exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 y)))))) (sqrt -1)))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y))))))
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)
(* (pow (* 1 (pow y 3)) 1/4) x)
(*.f64 (pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/4 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)))
(pow (* 1 y) 1/4)
(pow.f64 y #s(literal 1/4 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 (neg.f64 y) (*.f64 x 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))))
(* 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)))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y))))))
(pow.f64 y #s(literal 1/4 binary64))

rewrite259.0ms (7.3%)

Memory
13.9MiB live, 204.1MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02296
03891
19983
232460
3166860
0845560
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
16 → 1 948
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 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))
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 (pow.f64 y #s(literal 1/4 binary64)) x)) (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 (pow.f64 y #s(literal 1/4 binary64)) x)))
(*.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 (pow.f64 y #s(literal 1/4 binary64)) x) (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 (pow.f64 y #s(literal 1/4 binary64)) x)))
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(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 (log.f64 y) #s(literal -1/8 binary64)))
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/16 binary64))
(pow.f64 (pow.f64 y #s(literal 1/16 binary64)) #s(literal 4 binary64))
(pow.f64 (neg.f64 (pow.f64 y #s(literal 1/8 binary64))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) #s(literal 1 binary64))
(pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 y #s(literal 1/8 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal -1/8 binary64))
(pow.f64 (*.f64 y y) #s(literal 1/8 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 1/2 binary64))
(pow.f64 y #s(literal 1/4 binary64))
(/.f64 (-.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y))) #s(literal 2 binary64))) (-.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y)))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y))) #s(literal 2 binary64)) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y)))))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y))))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))))))))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64)))))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) #s(literal 3 binary64)))) (fabs.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 1/4 binary64))))
(neg.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))))
(sqrt.f64 (sqrt.f64 y))
(-.f64 (/.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 1/4 binary64)))) (/.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 1/4 binary64)))))
(fabs.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))))
(fabs.f64 (pow.f64 y #s(literal 1/4 binary64)))
(exp.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (log.f64 (sqrt.f64 y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/4 binary64))) (log.f64 y)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (pow.f64 y #s(literal 1/8 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal -2 binary64)) #s(literal -1/8 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64)))
(+.f64 (/.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y))) #s(literal 3 binary64)) (+.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))))))) (/.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))))))))
(+.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y))))
(+.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))))

eval242.0ms (6.8%)

Memory
-12.5MiB live, 343.6MiB allocated
Compiler

Compiled 27 779 to 4 212 computations (84.8% saved)

prune29.0ms (0.8%)

Memory
14.7MiB live, 101.2MiB allocated
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1 46261 468
Fresh000
Picked415
Done011
Total1 46681 474
Accuracy
100.0%
Counts
1 474 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶86.4%
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
▶86.7%
(/.f64 x (pow.f64 y #s(literal -2 binary64)))
99.5%
(*.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 y)) (*.f64 (sqrt.f64 y) x))) y)
▶94.7%
(*.f64 (*.f64 (/.f64 y (pow.f64 y #s(literal -1/2 binary64))) x) (sqrt.f64 y))
▶99.6%
(*.f64 (*.f64 (*.f64 x (sqrt.f64 y)) y) (sqrt.f64 y))
▶99.6%
(*.f64 (*.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
✓86.8%
(*.f64 (*.f64 y y) x)
✓99.8%
(*.f64 (*.f64 x y) y)
Compiler

Compiled 122 to 92 computations (24.6% saved)

simplify144.0ms (4%)

Memory
5.4MiB live, 82.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

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

Useful iterations: 1 (0.0ms)

IterNodesCost
022109
039107
17295
216295
336595
483595
5151295
6212195
7239695
8245995
9249395
10249995
11249995
12275595
13278395
14278395
15280095
16280095
17280095
18280095
0280095
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 x (sqrt.f64 y)) y) (sqrt.f64 y))
(*.f64 (*.f64 x (sqrt.f64 y)) y)
(*.f64 x (sqrt.f64 y))
x
(sqrt.f64 y)
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) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 x y) (sqrt.f64 y))
(*.f64 x y)
x
y
(sqrt.f64 y)
(/.f64 x (pow.f64 y #s(literal -2 binary64)))
x
(pow.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
(*.f64 (*.f64 (/.f64 y (pow.f64 y #s(literal -1/2 binary64))) x) (sqrt.f64 y))
(*.f64 (/.f64 y (pow.f64 y #s(literal -1/2 binary64))) x)
(/.f64 y (pow.f64 y #s(literal -1/2 binary64)))
y
(pow.f64 y #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
x
(sqrt.f64 y)
Outputs
(*.f64 (*.f64 (*.f64 x (sqrt.f64 y)) y) (sqrt.f64 y))
(*.f64 (*.f64 y x) y)
(*.f64 (*.f64 x (sqrt.f64 y)) y)
(*.f64 (*.f64 (sqrt.f64 y) x) y)
(*.f64 x (sqrt.f64 y))
(*.f64 (sqrt.f64 y) x)
x
(sqrt.f64 y)
y
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (*.f64 y x) 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) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 y x) y)
(*.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 x (pow.f64 y #s(literal -2 binary64)))
x
(pow.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
(*.f64 (*.f64 (/.f64 y (pow.f64 y #s(literal -1/2 binary64))) x) (sqrt.f64 y))
(*.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) (*.f64 (sqrt.f64 y) y))
(*.f64 (/.f64 y (pow.f64 y #s(literal -1/2 binary64))) x)
(/.f64 y (pow.f64 y #s(literal -1/2 binary64)))
y
(pow.f64 y #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
x
(sqrt.f64 y)

localize97.0ms (2.7%)

Memory
-10.7MiB live, 147.2MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(sqrt.f64 y)
accuracy0.1640625
(*.f64 (*.f64 (/.f64 y (pow.f64 y #s(literal -1/2 binary64))) x) (sqrt.f64 y))
accuracy0.25
(/.f64 y (pow.f64 y #s(literal -1/2 binary64)))
accuracy6.777650911002894
(*.f64 (/.f64 y (pow.f64 y #s(literal -1/2 binary64))) x)
accuracy0.00390625
(pow.f64 y #s(literal -2 binary64))
accuracy8.514426350401465
(/.f64 x (pow.f64 y #s(literal -2 binary64)))
accuracy0.0
(*.f64 x y)
accuracy0.0
(sqrt.f64 y)
accuracy0.1640625
(*.f64 (*.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
accuracy0.2109375
(*.f64 (*.f64 x y) (sqrt.f64 y))
accuracy0.0
(*.f64 y y)
accuracy0.0
(*.f64 x #s(literal 1 binary64))
accuracy0.47860796639057024
(/.f64 #s(literal 1 binary64) (*.f64 y y))
accuracy8.514426350401465
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
accuracy0.0
(sqrt.f64 y)
accuracy0.1328125
(*.f64 (*.f64 x (sqrt.f64 y)) y)
accuracy0.1640625
(*.f64 (*.f64 (*.f64 x (sqrt.f64 y)) y) (sqrt.f64 y))
accuracy0.2109375
(*.f64 x (sqrt.f64 y))
Samples
76.0ms256×0valid
Compiler

Compiled 111 to 24 computations (78.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-mult: 37.0ms (59.3% of total)
ival-div: 13.0ms (20.8% of total)
ival-pow: 9.0ms (14.4% of total)
ival-sqrt: 2.0ms (3.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series33.0ms (0.9%)

Memory
-17.5MiB live, 20.7MiB allocated
Counts
17 → 18
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 x (sqrt.f64 y)) y) (sqrt.f64 y))
(*.f64 (*.f64 x (sqrt.f64 y)) y)
(*.f64 x (sqrt.f64 y))
(sqrt.f64 y)
(/.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 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 x y) (sqrt.f64 y))
(*.f64 x y)
(/.f64 x (pow.f64 y #s(literal -2 binary64)))
(pow.f64 y #s(literal -2 binary64))
(*.f64 (*.f64 (/.f64 y (pow.f64 y #s(literal -1/2 binary64))) x) (sqrt.f64 y))
(*.f64 (/.f64 y (pow.f64 y #s(literal -1/2 binary64))) x)
(/.f64 y (pow.f64 y #s(literal -1/2 binary64)))
(pow.f64 y #s(literal -1/2 binary64))
Outputs
(* x (pow y 2))
(* x (sqrt (pow y 3)))
(* x (sqrt y))
x
(* x y)
(sqrt y)
(/ 1 (pow y 2))
(pow y 2)
(sqrt (pow y 3))
(sqrt (/ 1 y))
(* -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 (sqrt (pow y 3)))
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2))
Calls

6 calls:

TimeVariablePointExpression
24.0ms
y
@-inf
((* (* (* x (sqrt y)) y) (sqrt y)) (* (* x (sqrt y)) y) (* x (sqrt y)) (sqrt y) (/ (* x 1) (/ 1 (* y y))) (* x 1) (/ 1 (* y y)) (* y y) (* (* (* x y) (sqrt y)) (sqrt y)) (* (* x y) (sqrt y)) (* x y) (/ x (pow y -2)) (pow y -2) (* (* (/ y (pow y -1/2)) x) (sqrt y)) (* (/ y (pow y -1/2)) x) (/ y (pow y -1/2)) (pow y -1/2))
2.0ms
x
@-inf
((* (* (* x (sqrt y)) y) (sqrt y)) (* (* x (sqrt y)) y) (* x (sqrt y)) (sqrt y) (/ (* x 1) (/ 1 (* y y))) (* x 1) (/ 1 (* y y)) (* y y) (* (* (* x y) (sqrt y)) (sqrt y)) (* (* x y) (sqrt y)) (* x y) (/ x (pow y -2)) (pow y -2) (* (* (/ y (pow y -1/2)) x) (sqrt y)) (* (/ y (pow y -1/2)) x) (/ y (pow y -1/2)) (pow y -1/2))
2.0ms
y
@inf
((* (* (* x (sqrt y)) y) (sqrt y)) (* (* x (sqrt y)) y) (* x (sqrt y)) (sqrt y) (/ (* x 1) (/ 1 (* y y))) (* x 1) (/ 1 (* y y)) (* y y) (* (* (* x y) (sqrt y)) (sqrt y)) (* (* x y) (sqrt y)) (* x y) (/ x (pow y -2)) (pow y -2) (* (* (/ y (pow y -1/2)) x) (sqrt y)) (* (/ y (pow y -1/2)) x) (/ y (pow y -1/2)) (pow y -1/2))
2.0ms
y
@0
((* (* (* x (sqrt y)) y) (sqrt y)) (* (* x (sqrt y)) y) (* x (sqrt y)) (sqrt y) (/ (* x 1) (/ 1 (* y y))) (* x 1) (/ 1 (* y y)) (* y y) (* (* (* x y) (sqrt y)) (sqrt y)) (* (* x y) (sqrt y)) (* x y) (/ x (pow y -2)) (pow y -2) (* (* (/ y (pow y -1/2)) x) (sqrt y)) (* (/ y (pow y -1/2)) x) (/ y (pow y -1/2)) (pow y -1/2))
2.0ms
x
@inf
((* (* (* x (sqrt y)) y) (sqrt y)) (* (* x (sqrt y)) y) (* x (sqrt y)) (sqrt y) (/ (* x 1) (/ 1 (* y y))) (* x 1) (/ 1 (* y y)) (* y y) (* (* (* x y) (sqrt y)) (sqrt y)) (* (* x y) (sqrt y)) (* x y) (/ x (pow y -2)) (pow y -2) (* (* (/ y (pow y -1/2)) x) (sqrt y)) (* (/ y (pow y -1/2)) x) (/ y (pow y -1/2)) (pow y -1/2))

simplify130.0ms (3.6%)

Memory
1.5MiB live, 53.5MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03380
17977
221976
357376
4100676
5139376
6180676
7188276
8189076
9189276
10189276
11222476
12232176
13232376
14232376
15232376
16268376
17414176
18438176
19438276
20438276
21438276
22503876
23504076
24504076
0504076
Stop Event
1×iter limit
1×saturated
Counts
18 → 17
Calls
Call 1
Inputs
(* x (pow y 2))
(* x (sqrt (pow y 3)))
(* x (sqrt y))
x
(* x y)
(sqrt y)
(/ 1 (pow y 2))
(pow y 2)
(sqrt (pow y 3))
(sqrt (/ 1 y))
(* -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 (sqrt (pow y 3)))
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2))
Outputs
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* 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 y x)
(sqrt y)
(sqrt.f64 y)
(/ 1 (pow y 2))
(/.f64 #s(literal -1 binary64) (*.f64 y y))
(pow y 2)
(*.f64 y y)
(sqrt (pow y 3))
(sqrt.f64 (pow.f64 y #s(literal 3 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 (* (* 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 y y) x)
(* -1 (* x (sqrt (pow y 3))))
(*.f64 (neg.f64 x) (sqrt.f64 (pow.f64 y #s(literal 3 binary64))))
(* -1 (sqrt (pow y 3)))
(neg.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))))
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))

rewrite72.0ms (2%)

Memory
13.0MiB live, 87.7MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02292
03994
110367
231865
0144865
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
17 → 839
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 x (sqrt.f64 y)) y) (sqrt.f64 y))
(*.f64 (*.f64 x (sqrt.f64 y)) y)
(*.f64 x (sqrt.f64 y))
(sqrt.f64 y)
(/.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 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 x y) (sqrt.f64 y))
(*.f64 x y)
(/.f64 x (pow.f64 y #s(literal -2 binary64)))
(pow.f64 y #s(literal -2 binary64))
(*.f64 (*.f64 (/.f64 y (pow.f64 y #s(literal -1/2 binary64))) x) (sqrt.f64 y))
(*.f64 (/.f64 y (pow.f64 y #s(literal -1/2 binary64))) x)
(/.f64 y (pow.f64 y #s(literal -1/2 binary64)))
(pow.f64 y #s(literal -1/2 binary64))
Outputs
(*.f64 (*.f64 (sqrt.f64 y) (pow.f64 y #s(literal 5/4 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)))) (pow.f64 y #s(literal 5/4 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 y x) (neg.f64 (sqrt.f64 y))) (neg.f64 (sqrt.f64 y)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 y) x) (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 (sqrt.f64 y) x) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal 5/4 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)) (pow.f64 y #s(literal -1/4 binary64))) (/.f64 x (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 y x) (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 y #s(literal -1/4 binary64))) (*.f64 x (pow.f64 y #s(literal 5/4 binary64))))
(*.f64 (/.f64 (neg.f64 y) (pow.f64 y #s(literal -1/4 binary64))) (/.f64 (*.f64 (sqrt.f64 y) x) (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))))
(*.f64 (/.f64 (*.f64 y x) (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 #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) (pow.f64 y #s(literal -1/4 binary64))) (/.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (pow.f64 y #s(literal -1/4 binary64))))
(*.f64 (/.f64 y (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))) (/.f64 (*.f64 (sqrt.f64 y) x) (neg.f64 (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 (pow.f64 y #s(literal 5/4 binary64))) (/.f64 (sqrt.f64 y) (pow.f64 y #s(literal -1/4 binary64))))
(*.f64 (*.f64 (*.f64 y x) y) #s(literal 1 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 5/4 binary64)) (*.f64 (/.f64 x (pow.f64 y #s(literal -1/4 binary64))) (sqrt.f64 y)))
(*.f64 (pow.f64 y #s(literal 5/4 binary64)) (/.f64 (*.f64 (sqrt.f64 y) x) (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 5/4 binary64)) (sqrt.f64 y)))
(*.f64 (/.f64 x (pow.f64 y #s(literal -1/4 binary64))) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal -1/4 binary64))))
(*.f64 (*.f64 (neg.f64 x) y) (/.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 (*.f64 (neg.f64 x) y) (neg.f64 y))
(*.f64 (neg.f64 (sqrt.f64 y)) (*.f64 (neg.f64 (sqrt.f64 y)) (*.f64 y x)))
(*.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 (neg.f64 x) (/.f64 (*.f64 y y) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (*.f64 y y))
(*.f64 (neg.f64 y) (/.f64 (*.f64 (sqrt.f64 y) x) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))))
(*.f64 (neg.f64 y) (*.f64 (neg.f64 x) y))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y x) y))
(*.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) (sqrt.f64 y))
(*.f64 (*.f64 y x) (/.f64 y #s(literal 1 binary64)))
(*.f64 (*.f64 y x) (/.f64 (sqrt.f64 y) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (*.f64 y x) (neg.f64 y))
(*.f64 (*.f64 y x) y)
(*.f64 (*.f64 y y) (neg.f64 x))
(*.f64 (*.f64 y y) x)
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) 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 (sqrt.f64 y) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x))
(*.f64 y (/.f64 (*.f64 (sqrt.f64 y) x) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 y (*.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) (sqrt.f64 y)))
(*.f64 y (*.f64 y x))
(*.f64 x (/.f64 (*.f64 y y) #s(literal 1 binary64)))
(*.f64 x (*.f64 y y))
(/.f64 (/.f64 (neg.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 (/.f64 (neg.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 x (pow.f64 y #s(literal 5/4 binary64))) (sqrt.f64 y)) (pow.f64 y #s(literal -1/4 binary64)))
(/.f64 (*.f64 (pow.f64 y #s(literal 5/4 binary64)) (*.f64 (sqrt.f64 y) x)) (pow.f64 y #s(literal -1/4 binary64)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (pow.f64 y #s(literal 5/4 binary64))) (pow.f64 y #s(literal -1/4 binary64)))
(/.f64 (*.f64 (sqrt.f64 y) (*.f64 x (pow.f64 y #s(literal 5/4 binary64)))) (pow.f64 y #s(literal -1/4 binary64)))
(/.f64 (*.f64 (sqrt.f64 y) (*.f64 (neg.f64 x) y)) (neg.f64 (pow.f64 y #s(literal -1/2 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) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal -1/4 binary64)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x))) (pow.f64 y #s(literal -1/2 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 (*.f64 y x) y) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 y x) y) #s(literal 1 binary64))
(/.f64 (*.f64 (neg.f64 x) y) (pow.f64 y #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 (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) (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 (neg.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x)) (pow.f64 y #s(literal -1/2 binary64))))
(neg.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (neg.f64 (pow.f64 y #s(literal 3/2 binary64)))))
(neg.f64 (*.f64 (*.f64 (neg.f64 x) y) y))
(neg.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (*.f64 (sqrt.f64 y) x)))
(neg.f64 (*.f64 (*.f64 y x) y))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5/4 binary64))) (/.f64 x (pow.f64 y #s(literal -1/4 binary64))))
(*.f64 (*.f64 (*.f64 y x) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (neg.f64 (sqrt.f64 y))) (neg.f64 (sqrt.f64 y)))
(*.f64 (/.f64 (neg.f64 y) (pow.f64 y #s(literal -1/4 binary64))) (/.f64 x (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))))
(*.f64 (/.f64 (*.f64 y x) (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))) (/.f64 #s(literal 1 binary64) (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 y x) (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/4 binary64))) (*.f64 x (pow.f64 y #s(literal 5/4 binary64))))
(*.f64 (/.f64 y (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))) (/.f64 x (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))))
(*.f64 (/.f64 x (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))) (/.f64 (neg.f64 y) (pow.f64 y #s(literal -1/4 binary64))))
(*.f64 (/.f64 x (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))) (/.f64 y (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))))
(*.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) y)
(*.f64 (*.f64 x (pow.f64 y #s(literal 5/4 binary64))) (/.f64 #s(literal 1 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)) (*.f64 y x)))
(*.f64 (pow.f64 y #s(literal 5/4 binary64)) (*.f64 (/.f64 x (pow.f64 y #s(literal -1/4 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 5/4 binary64)) (/.f64 x (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 5/4 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 x (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal 5/4 binary64)))
(*.f64 (neg.f64 (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 (neg.f64 (sqrt.f64 y)) (*.f64 (sqrt.f64 y) x)))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) x)
(*.f64 (neg.f64 y) (/.f64 x (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))))
(*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) #s(literal 1 binary64))
(*.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (*.f64 y x) (sqrt.f64 y))
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x))
(*.f64 (*.f64 (sqrt.f64 y) x) y)
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 x (pow.f64 y #s(literal -1/2 binary64)))))
(*.f64 (sqrt.f64 y) (*.f64 y x))
(*.f64 y (*.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 y (/.f64 x (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 y (*.f64 (sqrt.f64 y) x))
(*.f64 x (pow.f64 y #s(literal 3/2 binary64)))
(/.f64 (/.f64 (*.f64 x (pow.f64 y #s(literal 5/4 binary64))) (pow.f64 y #s(literal -1/8 binary64))) (pow.f64 y #s(literal -1/8 binary64)))
(/.f64 (/.f64 (*.f64 (neg.f64 x) y) (pow.f64 y #s(literal -1/4 binary64))) (neg.f64 (pow.f64 y #s(literal -1/4 binary64))))
(/.f64 (*.f64 (*.f64 x (pow.f64 y #s(literal 5/4 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal -1/4 binary64)))
(/.f64 (*.f64 (neg.f64 x) (pow.f64 y #s(literal 3/2 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal -1/4 binary64))) y) (pow.f64 y #s(literal -1/4 binary64)))
(/.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (neg.f64 x)) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 y x) (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 5/4 binary64)))) (neg.f64 (pow.f64 y #s(literal -1/4 binary64))))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) y)) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 (*.f64 (pow.f64 y #s(literal 5/4 binary64)) (neg.f64 x)) (*.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (pow.f64 y #s(literal 5/4 binary64)) x) (*.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (pow.f64 y #s(literal 5/4 binary64)) x) (pow.f64 y #s(literal -1/4 binary64)))
(/.f64 (*.f64 (neg.f64 y) (neg.f64 x)) (*.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 x) (pow.f64 y #s(literal 5/4 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/4 binary64))))
(/.f64 (*.f64 x (pow.f64 y #s(literal 5/4 binary64))) (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/4 binary64))))
(/.f64 (*.f64 x (pow.f64 y #s(literal 5/4 binary64))) (pow.f64 y #s(literal -1/4 binary64)))
(/.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (*.f64 (neg.f64 x) y) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 x) y) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64))))
(/.f64 (*.f64 (neg.f64 x) y) (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (neg.f64 x) y) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))
(/.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) #s(literal 1 binary64))
(/.f64 (*.f64 y x) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 y x) (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))))
(/.f64 (*.f64 y x) (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))))
(/.f64 (*.f64 y x) (pow.f64 y #s(literal -1/2 binary64)))
(neg.f64 (/.f64 (*.f64 (neg.f64 x) y) (pow.f64 y #s(literal -1/2 binary64))))
(neg.f64 (/.f64 (*.f64 y x) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))))
(neg.f64 (*.f64 x (neg.f64 (pow.f64 y #s(literal 3/2 binary64)))))
(neg.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) x))
(*.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 (sqrt.f64 y) x))
(*.f64 (*.f64 (sqrt.f64 y) x) #s(literal 1 binary64))
(*.f64 (sqrt.f64 y) x)
(*.f64 x (sqrt.f64 y))
(/.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) #s(literal -1 binary64))
(/.f64 (*.f64 (sqrt.f64 y) (neg.f64 x)) #s(literal -1 binary64))
(/.f64 (*.f64 (sqrt.f64 y) x) #s(literal 1 binary64))
(*.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 (sqrt.f64 (neg.f64 (sqrt.f64 y))) (sqrt.f64 (neg.f64 (sqrt.f64 y))))
(*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 y)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.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)) #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 (sqrt.f64 y) #s(literal 1 binary64))
(pow.f64 y #s(literal 1/2 binary64))
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(*.f64 (*.f64 x (pow.f64 y #s(literal 5/4 binary64))) (/.f64 #s(literal 1 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)) (*.f64 y x)))
(*.f64 (pow.f64 y #s(literal 5/4 binary64)) (*.f64 (/.f64 x (pow.f64 y #s(literal -1/4 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 5/4 binary64)) (/.f64 x (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 5/4 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 x (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal 5/4 binary64)))
(*.f64 (neg.f64 (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 (neg.f64 (sqrt.f64 y)) (*.f64 (sqrt.f64 y) x)))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) x)
(*.f64 (neg.f64 y) (/.f64 x (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))))
(*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) #s(literal 1 binary64))
(*.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (*.f64 y x) (sqrt.f64 y))
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x))
(*.f64 (*.f64 (sqrt.f64 y) x) y)
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (/.f64 x (pow.f64 y #s(literal -1/2 binary64)))))
(*.f64 (sqrt.f64 y) (*.f64 y x))
(*.f64 y (*.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 y (/.f64 x (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 y (*.f64 (sqrt.f64 y) x))
(*.f64 x (pow.f64 y #s(literal 3/2 binary64)))
(/.f64 (/.f64 (*.f64 x (pow.f64 y #s(literal 5/4 binary64))) (pow.f64 y #s(literal -1/8 binary64))) (pow.f64 y #s(literal -1/8 binary64)))
(/.f64 (/.f64 (*.f64 (neg.f64 x) y) (pow.f64 y #s(literal -1/4 binary64))) (neg.f64 (pow.f64 y #s(literal -1/4 binary64))))
(/.f64 (*.f64 (*.f64 x (pow.f64 y #s(literal 5/4 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal -1/4 binary64)))
(/.f64 (*.f64 (neg.f64 x) (pow.f64 y #s(literal 3/2 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal -1/4 binary64))) y) (pow.f64 y #s(literal -1/4 binary64)))
(/.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (neg.f64 x)) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 y x) (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 5/4 binary64)))) (neg.f64 (pow.f64 y #s(literal -1/4 binary64))))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) y)) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 (*.f64 (pow.f64 y #s(literal 5/4 binary64)) (neg.f64 x)) (*.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (pow.f64 y #s(literal 5/4 binary64)) x) (*.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (pow.f64 y #s(literal 5/4 binary64)) x) (pow.f64 y #s(literal -1/4 binary64)))
(/.f64 (*.f64 (neg.f64 y) (neg.f64 x)) (*.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 x) (pow.f64 y #s(literal 5/4 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/4 binary64))))
(/.f64 (*.f64 x (pow.f64 y #s(literal 5/4 binary64))) (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/4 binary64))))
(/.f64 (*.f64 x (pow.f64 y #s(literal 5/4 binary64))) (pow.f64 y #s(literal -1/4 binary64)))
(/.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (*.f64 (neg.f64 x) y) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 x) y) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64))))
(/.f64 (*.f64 (neg.f64 x) y) (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (neg.f64 x) y) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))
(/.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) #s(literal 1 binary64))
(/.f64 (*.f64 y x) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 y x) (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))))
(/.f64 (*.f64 y x) (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))))
(/.f64 (*.f64 y x) (pow.f64 y #s(literal -1/2 binary64)))
(neg.f64 (/.f64 (*.f64 (neg.f64 x) y) (pow.f64 y #s(literal -1/2 binary64))))
(neg.f64 (/.f64 (*.f64 y x) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))))
(neg.f64 (*.f64 x (neg.f64 (pow.f64 y #s(literal 3/2 binary64)))))
(neg.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) x))
(*.f64 (*.f64 y (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 y))) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 y))))
(*.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 y)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 y)))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 y #s(literal 1/4 binary64))) (*.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (*.f64 (sqrt.f64 y) (pow.f64 y #s(literal 1/4 binary64))) (*.f64 (sqrt.f64 y) (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (pow.f64 y #s(literal 3/4 binary64)) (pow.f64 y #s(literal 3/4 binary64)))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))) (/.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 y #s(literal -1/4 binary64))) (/.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 y #s(literal -1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 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 (sqrt.f64 y) (pow.f64 y #s(literal -1/4 binary64))) (/.f64 (sqrt.f64 y) (pow.f64 y #s(literal -1/4 binary64))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 y)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 y)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal 3/2 binary64)) (pow.f64 (sqrt.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)) y))
(*.f64 (neg.f64 (sqrt.f64 y)) (/.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (neg.f64 (sqrt.f64 y)) (neg.f64 y))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1 binary64))
(*.f64 (neg.f64 y) (neg.f64 (sqrt.f64 y)))
(*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3/2 binary64)))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 y) y)
(*.f64 y (sqrt.f64 y))
(pow.f64 (*.f64 y (*.f64 y y)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (*.f64 y y) y) #s(literal 1/2 binary64))
(pow.f64 (*.f64 y y) #s(literal 3/4 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 3 binary64))
(pow.f64 y #s(literal 3/2 binary64))
(/.f64 (/.f64 (pow.f64 y #s(literal 5/4 binary64)) (pow.f64 y #s(literal -1/8 binary64))) (pow.f64 y #s(literal -1/8 binary64)))
(/.f64 (*.f64 (pow.f64 y #s(literal 5/4 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal -1/4 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5/4 binary64))) (pow.f64 y #s(literal -1/4 binary64)))
(/.f64 (/.f64 (neg.f64 y) (pow.f64 y #s(literal -1/4 binary64))) (neg.f64 (pow.f64 y #s(literal -1/4 binary64))))
(/.f64 (/.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 5/4 binary64))) (neg.f64 (pow.f64 y #s(literal -1/4 binary64))))
(/.f64 (pow.f64 y #s(literal 5/4 binary64)) (pow.f64 y #s(literal -1/4 binary64)))
(/.f64 (neg.f64 y) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))
(/.f64 y (pow.f64 y #s(literal -1/2 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal 3/2 binary64)))))
(neg.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) #s(literal 1 binary64)))
(neg.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))))
(sqrt.f64 (*.f64 y (*.f64 y y)))
(sqrt.f64 (*.f64 (*.f64 y y) y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64)))
(*.f64 (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 y #s(literal -1/8 binary64))) (pow.f64 y #s(literal -1/8 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))) (pow.f64 y #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal -1/4 binary64)) (pow.f64 (neg.f64 y) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/4 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/4 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 y)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 y #s(literal -1/8 binary64)) (*.f64 (pow.f64 y #s(literal -1/8 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 (pow.f64 y #s(literal -1/4 binary64)) (neg.f64 (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 (exp.f64 #s(literal -1/2 binary64)) (log.f64 y))
(pow.f64 (neg.f64 (pow.f64 y #s(literal -1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 y y) #s(literal -1/4 binary64))
(pow.f64 (sqrt.f64 y) #s(literal -1 binary64))
(pow.f64 y #s(literal -1/2 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) (cosh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)))) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))))) (-.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) (cosh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) (-.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)))) (*.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)))))))
(neg.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))
(fabs.f64 (pow.f64 y #s(literal -1/2 binary64)))
(exp.f64 (fma.f64 #s(literal -1/4 binary64) (log.f64 y) (*.f64 #s(literal -1/4 binary64) (log.f64 y))))
(exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal -1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal -1/4 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)))
(+.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) (cosh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))))
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))))

eval86.0ms (2.4%)

Memory
-9.0MiB live, 112.8MiB allocated
Compiler

Compiled 5 829 to 1 238 computations (78.8% saved)

prune13.0ms (0.4%)

Memory
-13.1MiB live, 26.4MiB allocated
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New4494453
Fresh101
Picked325
Done022
Total4538461
Accuracy
100.0%
Counts
461 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶86.3%
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 y))) (neg.f64 (sqrt.f64 y)))))
▶86.4%
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y)))
▶94.6%
(*.f64 (*.f64 (/.f64 y #s(approx (pow y -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) x) (sqrt.f64 y))
▶99.4%
(*.f64 (*.f64 (*.f64 x (*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y)))) y) (sqrt.f64 y))
✓99.6%
(*.f64 (*.f64 (*.f64 x (sqrt.f64 y)) y) (sqrt.f64 y))
✓99.6%
(*.f64 (*.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
✓86.8%
(*.f64 (*.f64 y y) x)
✓99.8%
(*.f64 (*.f64 x y) y)
Compiler

Compiled 79 to 56 computations (29.1% saved)

simplify308.0ms (8.7%)

Memory
30.2MiB live, 148.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 y))) (neg.f64 (sqrt.f64 y))))
cost-diff2
(*.f64 x #s(literal 1 binary64))
cost-diff2
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 y))) (neg.f64 (sqrt.f64 y)))))
cost-diff6
(*.f64 (*.f64 y (neg.f64 (sqrt.f64 y))) (neg.f64 (sqrt.f64 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
#s(approx (pow y -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
cost-diff0
(/.f64 y #s(approx (pow y -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
cost-diff0
(*.f64 (/.f64 y #s(approx (pow y -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) x)
cost-diff0
(*.f64 (*.f64 (/.f64 y #s(approx (pow y -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) x) (sqrt.f64 y))
cost-diff0
(*.f64 x (*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y))))
cost-diff0
(*.f64 (*.f64 x (*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y)))) y)
cost-diff4
(*.f64 (*.f64 (*.f64 x (*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y)))) y) (sqrt.f64 y))
cost-diff5
(*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y)))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026174
046136
192136
2286124
3963124
42485124
53772124
64113124
74179124
84197124
94204124
104240124
114385124
124420124
134426124
144426124
155649124
166596124
176658124
186658124
197378124
207670124
217670124
227670124
237670124
247670124
08188124
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 x (*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y)))) y) (sqrt.f64 y))
(*.f64 (*.f64 x (*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y)))) y)
(*.f64 x (*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y))))
x
(*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y)))
(sqrt.f64 (sqrt.f64 y))
(sqrt.f64 y)
y
(*.f64 (*.f64 (/.f64 y #s(approx (pow y -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) x) (sqrt.f64 y))
(*.f64 (/.f64 y #s(approx (pow y -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) x)
(/.f64 y #s(approx (pow y -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
y
#s(approx (pow y -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
x
(sqrt.f64 y)
(/.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 #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 y))) (neg.f64 (sqrt.f64 y)))))
(*.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 y))) (neg.f64 (sqrt.f64 y))))
(*.f64 (*.f64 y (neg.f64 (sqrt.f64 y))) (neg.f64 (sqrt.f64 y)))
(*.f64 y (neg.f64 (sqrt.f64 y)))
y
(neg.f64 (sqrt.f64 y))
(sqrt.f64 y)
Outputs
(*.f64 (*.f64 (*.f64 x (*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y)))) y) (sqrt.f64 y))
(*.f64 (*.f64 y x) y)
(*.f64 (*.f64 x (*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y)))) y)
(*.f64 (*.f64 (sqrt.f64 y) x) y)
(*.f64 x (*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y))))
(*.f64 (sqrt.f64 y) x)
x
(*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y)))
(sqrt.f64 y)
(sqrt.f64 (sqrt.f64 y))
(sqrt.f64 y)
y
(*.f64 (*.f64 (/.f64 y #s(approx (pow y -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) x) (sqrt.f64 y))
(*.f64 (/.f64 (*.f64 y x) #s(approx (pow y -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (sqrt.f64 y))
(*.f64 (/.f64 y #s(approx (pow y -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) x)
(/.f64 (*.f64 y x) #s(approx (pow y -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))
(/.f64 y #s(approx (pow y -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(/.f64 y #s(approx (pow y -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))
y
#s(approx (pow y -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
#s(approx (pow y -1/2) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) (sqrt.f64 y))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
x
(sqrt.f64 y)
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (*.f64 y x) y)
x
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/.f64 (/.f64 #s(literal 1 binary64) y) y)
#s(literal 1 binary64)
(*.f64 y y)
y
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 y))) (neg.f64 (sqrt.f64 y)))))
(*.f64 (*.f64 y x) y)
(*.f64 x #s(literal 1 binary64))
x
x
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 y))) (neg.f64 (sqrt.f64 y))))
(/.f64 (/.f64 #s(literal 1 binary64) y) y)
(*.f64 (*.f64 y (neg.f64 (sqrt.f64 y))) (neg.f64 (sqrt.f64 y)))
(*.f64 y y)
(*.f64 y (neg.f64 (sqrt.f64 y)))
(*.f64 (neg.f64 y) (sqrt.f64 y))
y
(neg.f64 (sqrt.f64 y))
(sqrt.f64 y)

localize86.0ms (2.4%)

Memory
-16.1MiB live, 179.1MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0.16015625
(*.f64 (*.f64 y (neg.f64 (sqrt.f64 y))) (neg.f64 (sqrt.f64 y)))
accuracy0.1640625
(*.f64 y (neg.f64 (sqrt.f64 y)))
accuracy0.47860796639057024
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 y))) (neg.f64 (sqrt.f64 y))))
accuracy8.514426350401465
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 y))) (neg.f64 (sqrt.f64 y)))))
accuracy0.0
(*.f64 y y)
accuracy0.47860796639057024
(/.f64 #s(literal 1 binary64) (*.f64 y y))
accuracy8.514426350401465
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y)))
accuracy0.1640625
(*.f64 (*.f64 (/.f64 y #s(approx (pow y -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) x) (sqrt.f64 y))
accuracy0.1640625
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
accuracy0.25
(/.f64 y #s(approx (pow y -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
accuracy6.777650911002894
(*.f64 (/.f64 y #s(approx (pow y -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) x)
accuracy0.1484375
(sqrt.f64 (sqrt.f64 y))
accuracy0.1640625
(*.f64 (*.f64 (*.f64 x (*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y)))) y) (sqrt.f64 y))
accuracy0.2109375
(*.f64 x (*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y))))
accuracy0.5521087890737681
(*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y)))
Samples
68.0ms256×0valid
Compiler

Compiled 156 to 27 computations (82.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-div: 18.0ms (36.2% of total)
ival-mult: 16.0ms (32.2% of total)
ival-pow: 9.0ms (18.1% of total)
ival-sqrt: 5.0ms (10.1% of total)
ival-neg: 1.0ms (2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series48.0ms (1.4%)

Memory
9.6MiB live, 92.2MiB allocated
Counts
18 → 22
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y)))
(*.f64 (*.f64 (*.f64 x (*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y)))) y) (sqrt.f64 y))
(*.f64 (*.f64 x (*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y)))) y)
(*.f64 x (*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y))))
(*.f64 (*.f64 (/.f64 y #s(approx (pow y -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) x) (sqrt.f64 y))
(*.f64 (/.f64 y #s(approx (pow y -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) x)
(/.f64 y #s(approx (pow y -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
#s(approx (pow y -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(*.f64 y y)
(*.f64 (*.f64 y (neg.f64 (sqrt.f64 y))) (neg.f64 (sqrt.f64 y)))
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 y))) (neg.f64 (sqrt.f64 y)))))
(*.f64 x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 y))) (neg.f64 (sqrt.f64 y))))
(sqrt.f64 (sqrt.f64 y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(*.f64 y (neg.f64 (sqrt.f64 y)))
Outputs
(* x (pow y 2))
(* x (sqrt (pow y 3)))
(* x (sqrt y))
x
(sqrt y)
(sqrt (pow y 3))
(sqrt (/ 1 y))
(/ 1 (pow y 2))
(pow y 2)
(pow (* 1 y) 1/4)
(* -1 (sqrt (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 (* (* x (pow (sqrt -1) 2)) (sqrt y)))
(* -1 (* x (pow y 2)))
(* -1 (* x (sqrt (pow y 3))))
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2))
(* -1 (* (pow y 2) (pow (sqrt -1) 2)))
(/ -1 (* (pow y 2) (pow (sqrt -1) 2)))
(* (pow (* -1 y) 1/4) (sqrt (sqrt -1)))
(* (sqrt (pow y 3)) (pow (sqrt -1) 2))
Calls

6 calls:

TimeVariablePointExpression
21.0ms
y
@-inf
((* (sqrt (sqrt y)) (sqrt (sqrt y))) (* (* (* x (* (sqrt (sqrt y)) (sqrt (sqrt y)))) y) (sqrt y)) (* (* x (* (sqrt (sqrt y)) (sqrt (sqrt y)))) y) (* x (* (sqrt (sqrt y)) (sqrt (sqrt y)))) (* (* (/ y (pow y -1/2)) x) (sqrt y)) (* (/ y (pow y -1/2)) x) (/ y (pow y -1/2)) (pow y -1/2) (/ x (/ 1 (* y y))) (/ 1 (* y y)) (* y y) (* (* y (neg (sqrt y))) (neg (sqrt y))) (/ (* x 1) (/ 1 (* (* y (neg (sqrt y))) (neg (sqrt y))))) (* x 1) (/ 1 (* (* y (neg (sqrt y))) (neg (sqrt y)))) (sqrt (sqrt y)) (sqrt (/ 1 y)) (* y (neg (sqrt y))))
12.0ms
y
@0
((* (sqrt (sqrt y)) (sqrt (sqrt y))) (* (* (* x (* (sqrt (sqrt y)) (sqrt (sqrt y)))) y) (sqrt y)) (* (* x (* (sqrt (sqrt y)) (sqrt (sqrt y)))) y) (* x (* (sqrt (sqrt y)) (sqrt (sqrt y)))) (* (* (/ y (pow y -1/2)) x) (sqrt y)) (* (/ y (pow y -1/2)) x) (/ y (pow y -1/2)) (pow y -1/2) (/ x (/ 1 (* y y))) (/ 1 (* y y)) (* y y) (* (* y (neg (sqrt y))) (neg (sqrt y))) (/ (* x 1) (/ 1 (* (* y (neg (sqrt y))) (neg (sqrt y))))) (* x 1) (/ 1 (* (* y (neg (sqrt y))) (neg (sqrt y)))) (sqrt (sqrt y)) (sqrt (/ 1 y)) (* y (neg (sqrt y))))
9.0ms
y
@inf
((* (sqrt (sqrt y)) (sqrt (sqrt y))) (* (* (* x (* (sqrt (sqrt y)) (sqrt (sqrt y)))) y) (sqrt y)) (* (* x (* (sqrt (sqrt y)) (sqrt (sqrt y)))) y) (* x (* (sqrt (sqrt y)) (sqrt (sqrt y)))) (* (* (/ y (pow y -1/2)) x) (sqrt y)) (* (/ y (pow y -1/2)) x) (/ y (pow y -1/2)) (pow y -1/2) (/ x (/ 1 (* y y))) (/ 1 (* y y)) (* y y) (* (* y (neg (sqrt y))) (neg (sqrt y))) (/ (* x 1) (/ 1 (* (* y (neg (sqrt y))) (neg (sqrt y))))) (* x 1) (/ 1 (* (* y (neg (sqrt y))) (neg (sqrt y)))) (sqrt (sqrt y)) (sqrt (/ 1 y)) (* y (neg (sqrt y))))
2.0ms
x
@-inf
((* (sqrt (sqrt y)) (sqrt (sqrt y))) (* (* (* x (* (sqrt (sqrt y)) (sqrt (sqrt y)))) y) (sqrt y)) (* (* x (* (sqrt (sqrt y)) (sqrt (sqrt y)))) y) (* x (* (sqrt (sqrt y)) (sqrt (sqrt y)))) (* (* (/ y (pow y -1/2)) x) (sqrt y)) (* (/ y (pow y -1/2)) x) (/ y (pow y -1/2)) (pow y -1/2) (/ x (/ 1 (* y y))) (/ 1 (* y y)) (* y y) (* (* y (neg (sqrt y))) (neg (sqrt y))) (/ (* x 1) (/ 1 (* (* y (neg (sqrt y))) (neg (sqrt y))))) (* x 1) (/ 1 (* (* y (neg (sqrt y))) (neg (sqrt y)))) (sqrt (sqrt y)) (sqrt (/ 1 y)) (* y (neg (sqrt y))))
1.0ms
x
@inf
((* (sqrt (sqrt y)) (sqrt (sqrt y))) (* (* (* x (* (sqrt (sqrt y)) (sqrt (sqrt y)))) y) (sqrt y)) (* (* x (* (sqrt (sqrt y)) (sqrt (sqrt y)))) y) (* x (* (sqrt (sqrt y)) (sqrt (sqrt y)))) (* (* (/ y (pow y -1/2)) x) (sqrt y)) (* (/ y (pow y -1/2)) x) (/ y (pow y -1/2)) (pow y -1/2) (/ x (/ 1 (* y y))) (/ 1 (* y y)) (* y y) (* (* y (neg (sqrt y))) (neg (sqrt y))) (/ (* x 1) (/ 1 (* (* y (neg (sqrt y))) (neg (sqrt y))))) (* x 1) (/ 1 (* (* y (neg (sqrt y))) (neg (sqrt y)))) (sqrt (sqrt y)) (sqrt (/ 1 y)) (* y (neg (sqrt y))))

simplify130.0ms (3.6%)

Memory
2.0MiB live, 39.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042101
19898
226297
371897
4127797
5185997
6200197
7205397
8206197
9206397
10206397
11241697
12249897
13252097
14255697
15255697
16255697
17290097
18427797
19447697
20447797
21447797
22447797
23534697
24534897
25534897
0534897
Stop Event
1×iter limit
1×saturated
Counts
22 → 21
Calls
Call 1
Inputs
(* x (pow y 2))
(* x (sqrt (pow y 3)))
(* x (sqrt y))
x
(sqrt y)
(sqrt (pow y 3))
(sqrt (/ 1 y))
(/ 1 (pow y 2))
(pow y 2)
(pow (* 1 y) 1/4)
(* -1 (sqrt (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 (* (* x (pow (sqrt -1) 2)) (sqrt y)))
(* -1 (* x (pow y 2)))
(* -1 (* x (sqrt (pow y 3))))
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2))
(* -1 (* (pow y 2) (pow (sqrt -1) 2)))
(/ -1 (* (pow y 2) (pow (sqrt -1) 2)))
(* (pow (* -1 y) 1/4) (sqrt (sqrt -1)))
(* (sqrt (pow y 3)) (pow (sqrt -1) 2))
Outputs
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* 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
(sqrt y)
(sqrt.f64 y)
(sqrt (pow y 3))
(sqrt.f64 (pow.f64 y #s(literal 3 binary64)))
(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)
(pow (* 1 y) 1/4)
(pow.f64 y #s(literal 1/4 binary64))
(* -1 (sqrt (pow y 3)))
(neg.f64 (sqrt.f64 (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 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 (* (* x (pow (sqrt -1) 2)) (sqrt y)))
(*.f64 (sqrt.f64 y) x)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 y y) x)
(* -1 (* x (sqrt (pow y 3))))
(*.f64 (neg.f64 x) (sqrt.f64 (pow.f64 y #s(literal 3 binary64))))
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(* -1 (* (pow y 2) (pow (sqrt -1) 2)))
(*.f64 y y)
(/ -1 (* (pow y 2) (pow (sqrt -1) 2)))
(/.f64 (/.f64 #s(literal -1 binary64) y) y)
(* (pow (* -1 y) 1/4) (sqrt (sqrt -1)))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (neg.f64 y) #s(literal 1/4 binary64)))
(* (sqrt (pow y 3)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))))

rewrite75.0ms (2.1%)

Memory
7.1MiB live, 82.4MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026151
046113
113098
251588
0265388
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
18 → 566
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y)))
(*.f64 (*.f64 (*.f64 x (*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y)))) y) (sqrt.f64 y))
(*.f64 (*.f64 x (*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y)))) y)
(*.f64 x (*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y))))
(*.f64 (*.f64 (/.f64 y #s(approx (pow y -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) x) (sqrt.f64 y))
(*.f64 (/.f64 y #s(approx (pow y -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) x)
(/.f64 y #s(approx (pow y -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
#s(approx (pow y -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(*.f64 y y)
(*.f64 (*.f64 y (neg.f64 (sqrt.f64 y))) (neg.f64 (sqrt.f64 y)))
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 y))) (neg.f64 (sqrt.f64 y)))))
(*.f64 x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 y))) (neg.f64 (sqrt.f64 y))))
(sqrt.f64 (sqrt.f64 y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(*.f64 y (neg.f64 (sqrt.f64 y)))
Outputs
(*.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/8 binary64))) (pow.f64 y #s(literal 1/8 binary64)))
(*.f64 (sqrt.f64 (pow.f64 y #s(literal 3/4 binary64))) (pow.f64 y #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal 3/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/8 binary64)))
(*.f64 (pow.f64 y #s(literal 1/8 binary64)) (*.f64 (pow.f64 y #s(literal 1/8 binary64)) (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (pow.f64 y #s(literal 1/8 binary64)) (sqrt.f64 (pow.f64 y #s(literal 3/4 binary64))))
(*.f64 (pow.f64 y #s(literal 1/8 binary64)) (pow.f64 (pow.f64 y #s(literal 3/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 y))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 y) #s(literal 1 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 (sqrt.f64 y) #s(literal 1 binary64))
(pow.f64 y #s(literal 1/2 binary64))
(neg.f64 (sqrt.f64 y))
(sqrt.f64 y)
(fabs.f64 (sqrt.f64 y))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (sqrt.f64 y)))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) (sinh.f64 (log.f64 (sqrt.f64 y))))
(*.f64 (*.f64 (neg.f64 x) (pow.f64 y #s(literal 7/4 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 (*.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 x (sqrt.f64 y)) (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 #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 binary64))) (*.f64 x y))
(*.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 x (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal 3/2 binary64)))
(*.f64 (pow.f64 y #s(literal 5/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 x (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 7/4 binary64)) x) (pow.f64 y #s(literal 1/4 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 5/4 binary64)) x) (pow.f64 y #s(literal 3/4 binary64)))
(*.f64 (*.f64 (*.f64 x y) y) #s(literal 1 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 (*.f64 x y) (/.f64 y #s(literal 1 binary64)))
(*.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (*.f64 x y) y)
(*.f64 (*.f64 x (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 7/4 binary64)))
(*.f64 (neg.f64 x) (/.f64 (*.f64 y y) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (*.f64 y y))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x 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 x (sqrt.f64 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 (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) (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 (*.f64 x (sqrt.f64 y)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1 binary64)))
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(/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) y)
(/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(/.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 y #s(literal 3/2 binary64)))
(/.f64 (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3/2 binary64)))
(/.f64 (pow.f64 y #s(literal -3/2 binary64)) (sqrt.f64 y))
(/.f64 #s(literal -1 binary64) (*.f64 y y))
(/.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))
(/.f64 (pow.f64 y #s(literal -1 binary64)) y)
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(neg.f64 (pow.f64 y #s(literal -2 binary64)))
(exp.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))))
(exp.f64 (fma.f64 (log.f64 y) #s(literal -1 binary64) (neg.f64 (log.f64 y))))
(exp.f64 (*.f64 (neg.f64 (log.f64 y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal -2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal -1 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal -1 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 1/8 binary64))) (pow.f64 y #s(literal 1/8 binary64)))
(*.f64 (neg.f64 (pow.f64 y #s(literal 1/8 binary64))) (neg.f64 (pow.f64 y #s(literal 1/8 binary64))))
(*.f64 (neg.f64 (pow.f64 y #s(literal 1/8 binary64))) (pow.f64 y #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal 1/8 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 y #s(literal 1/8 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal 3/4 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 y #s(literal 3/4 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 y #s(literal 1/8 binary64)) (neg.f64 (pow.f64 y #s(literal 1/8 binary64))))
(*.f64 (pow.f64 y #s(literal 1/8 binary64)) (pow.f64 y #s(literal 1/8 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 y #s(literal 1/8 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 1/2 binary64))
(pow.f64 y #s(literal 1/4 binary64))
(neg.f64 (pow.f64 y #s(literal 1/4 binary64)))
(sqrt.f64 (sqrt.f64 y))
(fabs.f64 (pow.f64 y #s(literal 1/4 binary64)))
(exp.f64 (/.f64 (log.f64 (sqrt.f64 y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 y)))
(+.f64 (cosh.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 y))) (sinh.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 y))))
(*.f64 (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 y #s(literal -1/8 binary64))) (pow.f64 y #s(literal -1/8 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/4 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal -1/4 binary64)) (pow.f64 y #s(literal -1/8 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/4 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal 1/8 binary64)) #s(literal -2 binary64)) (pow.f64 (pow.f64 y #s(literal 1/8 binary64)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal 3/4 binary64)) #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/8 binary64)))
(*.f64 (pow.f64 y #s(literal -1/8 binary64)) (*.f64 (pow.f64 y #s(literal -1/8 binary64)) (pow.f64 y #s(literal -1/4 binary64))))
(*.f64 (pow.f64 y #s(literal -1/8 binary64)) (pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 y #s(literal -1/8 binary64)) (pow.f64 (pow.f64 y #s(literal 3/4 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 y #s(literal -1/4 binary64)))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 y))
(pow.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 y y) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal -2 binary64))
(pow.f64 (sqrt.f64 y) #s(literal -1 binary64))
(pow.f64 y #s(literal -1/2 binary64))
(/.f64 (/.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 y #s(literal 1/8 binary64))) (pow.f64 y #s(literal 1/8 binary64)))
(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) (cosh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)))) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))))) (-.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) (cosh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) (-.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)))) (*.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 y))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 y))
(/.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 #s(literal 1 binary64) (sqrt.f64 y))
(neg.f64 (pow.f64 y #s(literal -1/2 binary64)))
(sqrt.f64 (pow.f64 y #s(literal -1 binary64)))
(fabs.f64 (pow.f64 y #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 (log.f64 (sqrt.f64 y))))
(exp.f64 (fma.f64 #s(literal -1/4 binary64) (log.f64 y) (*.f64 #s(literal -1/4 binary64) (log.f64 y))))
(exp.f64 (/.f64 (neg.f64 (log.f64 y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 y)) #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal -1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal -1/4 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 y)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)))
(+.f64 (cosh.f64 (*.f64 (neg.f64 (log.f64 y)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (neg.f64 (log.f64 y)) #s(literal 1/2 binary64))))
(+.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) (cosh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))))
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))))
(*.f64 (*.f64 (pow.f64 y #s(literal 5/4 binary64)) (pow.f64 y #s(literal 1/8 binary64))) (pow.f64 y #s(literal 1/8 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) y)
(*.f64 (pow.f64 (pow.f64 y #s(literal 3/4 binary64)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 y #s(literal 3/4 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 y #s(literal 5/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (pow.f64 y #s(literal 3/4 binary64)) (pow.f64 y #s(literal 3/4 binary64)))
(*.f64 (pow.f64 y #s(literal 1/8 binary64)) (*.f64 (pow.f64 y #s(literal 1/8 binary64)) (pow.f64 y #s(literal 5/4 binary64))))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3/2 binary64)))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3/2 binary64)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 5/4 binary64)))
(*.f64 (sqrt.f64 y) y)
(*.f64 y (sqrt.f64 y))
(pow.f64 (*.f64 y (*.f64 y y)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (*.f64 y y) y) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 y #s(literal 3/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal -3/2 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 y y) #s(literal 3/4 binary64))
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 6 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 3 binary64))
(pow.f64 y #s(literal 3/2 binary64))
(/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -3/2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -3/2 binary64)))
(neg.f64 (pow.f64 y #s(literal 3/2 binary64)))
(sqrt.f64 (*.f64 y (*.f64 y y)))
(sqrt.f64 (*.f64 (*.f64 y y) y))
(fabs.f64 (pow.f64 y #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64)))

eval105.0ms (2.9%)

Memory
-29.5MiB live, 90.7MiB allocated
Compiler

Compiled 5 724 to 1 397 computations (75.6% saved)

prune10.0ms (0.3%)

Memory
29.8MiB live, 29.8MiB allocated
Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New4121413
Fresh000
Picked134
Done044
Total4138421
Accuracy
100.0%
Counts
421 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.3%
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 y))) (neg.f64 (sqrt.f64 y)))))
✓86.4%
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y)))
✓94.6%
(*.f64 (*.f64 (/.f64 y #s(approx (pow y -1/2) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) x) (sqrt.f64 y))
✓99.4%
(*.f64 (*.f64 (*.f64 x (*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y)))) y) (sqrt.f64 y))
✓99.6%
(*.f64 (*.f64 (*.f64 x (sqrt.f64 y)) y) (sqrt.f64 y))
✓99.6%
(*.f64 (*.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
✓86.8%
(*.f64 (*.f64 y y) x)
✓99.8%
(*.f64 (*.f64 x y) y)
Compiler

Compiled 245 to 115 computations (53.1% saved)

regimes17.0ms (0.5%)

Memory
-8.5MiB live, 28.5MiB allocated
Accuracy

Total -8.9b remaining (-6495.4%)

Threshold costs -8.9b (-6495.4%)

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

8.0ms
y
5.0ms
x
4.0ms
(*.f64 (*.f64 x y) y)
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1(*.f64 (*.f64 x y) y)
Compiler

Compiled 7 to 8 computations (-14.3% saved)

simplify9.0ms (0.2%)

Memory
13.1MiB live, 13.1MiB 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
0.4MiB live, 0.4MiB allocated
Stop Event
1×fuel
Compiler

Compiled 5 to 4 computations (20% saved)

preprocess55.0ms (1.5%)

Memory
-5.1MiB live, 39.3MiB 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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