Data.HyperLogLog.Config:hll from hyperloglog-0.3.4

Time bar (total: 3.4s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated; 0ms collecting garbage
Algorithm
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)

sample725.0ms (21.1%)

Memory
15.2MiB live, 869.8MiB allocated; 179ms collecting garbage
Samples
508.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 159.0ms
ival-mult: 148.0ms (93.1% of total)
ival-true: 6.0ms (3.8% of total)
ival-assert: 3.0ms (1.9% of total)
adjust: 2.0ms (1.3% of total)
Bogosity

explain46.0ms (1.3%)

Memory
3.2MiB live, 48.7MiB allocated; 5ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-y
00-0-(*.f64 (*.f64 x y) y)
00-0-(*.f64 x y)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
19.0ms512×0valid
Compiler

Compiled 29 to 16 computations (44.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 7.0ms (96.9% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess33.0ms (1%)

Memory
-8.5MiB live, 37.3MiB allocated; 5ms collecting garbage
Algorithm
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
iter limit
saturated
iter limit
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
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
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
14.4MiB live, 14.4MiB allocated; 0ms collecting garbage
Algorithm
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
iter limit
saturated
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

localize36.0ms (1%)

Memory
-42.6MiB live, 20.9MiB allocated; 46ms collecting garbage
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x y)
accuracy0.12890625
(*.f64 (*.f64 x y) y)
Samples
32.0ms256×0valid
Compiler

Compiled 12 to 6 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 3.0ms (86% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
6.3MiB live, 6.3MiB allocated; 0ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
(*.f64 (*.f64 x y) y)
(*.f64 x y)
Outputs
(* x (pow y 2))
(* x y)
Calls

6 calls:

TimeVariablePointExpression
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))

simplify5.0ms (0.2%)

Memory
5.0MiB live, 5.0MiB allocated; 0ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
1118
2198
3408
4808
51128
61348
71488
01488
Stop Event
iter limit
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)

rewrite177.0ms (5.1%)

Memory
21.7MiB live, 213.0MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

eval12.0ms (0.4%)

Memory
-22.7MiB live, 20.8MiB allocated; 6ms collecting garbage
Compiler

Compiled 1 322 to 224 computations (83.1% saved)

prune5.0ms (0.1%)

Memory
19.3MiB live, 19.3MiB allocated; 0ms collecting garbage
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
86.8%
(/.f64 (*.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64)))
92.9%
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 y) x))
92.7%
(*.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)))
99.5%
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y)
86.7%
(*.f64 (*.f64 y y) x)
99.8%
(*.f64 (*.f64 x y) y)
Compiler

Compiled 89 to 70 computations (21.3% saved)

simplify351.0ms (10.2%)

Memory
-16.2MiB live, 74.8MiB allocated; 6ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) x)
cost-diff0
(pow.f64 y #s(literal 1/4 binary64))
cost-diff2
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x))
cost-diff6
(*.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)))
cost-diff0
(sqrt.f64 y)
cost-diff0
(*.f64 (sqrt.f64 y) x)
cost-diff0
(pow.f64 y #s(literal 3/2 binary64))
cost-diff3
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 y) x))
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: 6 (0.0ms)

IterNodesCost
021108
036105
166105
216485
333585
487385
5224885
6290983
7316083
8318483
9320683
10321883
11321883
12321883
13494883
14495083
15497283
16497483
17497483
18577983
19577983
20577983
21691583
0691583
Stop Event
iter limit
saturated
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 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 y) x))
(pow.f64 y #s(literal 3/2 binary64))
y
#s(literal 3/2 binary64)
(*.f64 (sqrt.f64 y) x)
(sqrt.f64 y)
x
(*.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)))
(pow.f64 y #s(literal 1/4 binary64))
y
#s(literal 1/4 binary64)
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) x)
(pow.f64 y #s(literal 3/2 binary64))
#s(literal 3/2 binary64)
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 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 y) x))
(*.f64 (*.f64 x y) y)
(pow.f64 y #s(literal 3/2 binary64))
y
#s(literal 3/2 binary64)
(*.f64 (sqrt.f64 y) x)
(*.f64 x (sqrt.f64 y))
(sqrt.f64 y)
x
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x)))
(*.f64 (*.f64 x y) 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 (pow.f64 y #s(literal 3/2 binary64)) x))
(*.f64 (pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 7 binary64)) x)
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) x)
(pow.f64 y #s(literal 3/2 binary64))
#s(literal 3/2 binary64)
x

localize101.0ms (2.9%)

Memory
-9.1MiB live, 96.0MiB allocated; 8ms collecting garbage
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(pow.f64 y #s(literal 1/4 binary64))
accuracy0.203125
(*.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)))
accuracy0.20703125
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x))
accuracy7.981523574458805
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) x)
accuracy0.0
(pow.f64 y #s(literal 3/2 binary64))
accuracy0.0
(sqrt.f64 y)
accuracy0.234375
(*.f64 (sqrt.f64 y) x)
accuracy4.520331459925071
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 y) x))
accuracy0.0
(*.f64 x #s(literal 1 binary64))
accuracy0.00390625
(pow.f64 y #s(literal -2 binary64))
accuracy8.473944826768246
(/.f64 (*.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64)))
accuracy0.0
(*.f64 y y)
accuracy8.49386750182205
(*.f64 (*.f64 y y) x)
accuracy0.0
(sqrt.f64 y)
accuracy0.12890625
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y)
accuracy0.234375
(*.f64 (sqrt.f64 y) x)
accuracy0.2578125
(*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y))
Samples
59.0ms256×0valid
Compiler

Compiled 110 to 23 computations (79.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-mult: 13.0ms (30.8% of total)
ival-sqrt: 13.0ms (30.8% of total)
ival-pow: 13.0ms (30.8% of total)
ival-div: 2.0ms (4.7% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series157.0ms (4.6%)

Memory
3.3MiB live, 234.3MiB allocated; 32ms collecting garbage
Counts
15 → 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 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 y) x))
(pow.f64 y #s(literal 3/2 binary64))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x))
(pow.f64 y #s(literal 1/4 binary64))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) x)
Outputs
(* x y)
(* x (pow y 2))
(* x (sqrt y))
x
(* (pow (* 1 (pow y 7)) 1/4) x)
(* x (sqrt (pow y 3)))
(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)))
(* (sqrt (pow y 3)) (pow (sqrt -1) 2))
(* x (* (exp (* 1/4 (+ (log -1) (* -7 (log (/ -1 y)))))) (sqrt -1)))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y))))))
(* (* x (pow (sqrt -1) 2)) (sqrt (pow y 3)))
Calls

6 calls:

TimeVariablePointExpression
48.0ms
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) (* (sqrt y) x)) (pow y 3/2) (* (pow y 1/4) (* (pow y 1/4) (* (pow y 3/2) x))) (* (pow y 1/4) (* (pow y 3/2) x)) (pow y 1/4) (* (pow y 3/2) x))
44.0ms
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) (* (sqrt y) x)) (pow y 3/2) (* (pow y 1/4) (* (pow y 1/4) (* (pow y 3/2) x))) (* (pow y 1/4) (* (pow y 3/2) x)) (pow y 1/4) (* (pow y 3/2) x))
27.0ms
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) (* (sqrt y) x)) (pow y 3/2) (* (pow y 1/4) (* (pow y 1/4) (* (pow y 3/2) x))) (* (pow y 1/4) (* (pow y 3/2) x)) (pow y 1/4) (* (pow y 3/2) x))
16.0ms
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) (* (sqrt y) x)) (pow y 3/2) (* (pow y 1/4) (* (pow y 1/4) (* (pow y 3/2) x))) (* (pow y 1/4) (* (pow y 3/2) x)) (pow y 1/4) (* (pow y 3/2) x))
12.0ms
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) (* (sqrt y) x)) (pow y 3/2) (* (pow y 1/4) (* (pow y 1/4) (* (pow y 3/2) x))) (* (pow y 1/4) (* (pow y 3/2) x)) (pow y 1/4) (* (pow y 3/2) x))

simplify124.0ms (3.6%)

Memory
1.3MiB live, 140.4MiB allocated; 34ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
052107
113396
241992
3109592
4246390
0842190
Stop Event
iter limit
node limit
Counts
20 → 19
Calls
Call 1
Inputs
(* x y)
(* x (pow y 2))
(* x (sqrt y))
x
(* (pow (* 1 (pow y 7)) 1/4) x)
(* x (sqrt (pow y 3)))
(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)))
(* (sqrt (pow y 3)) (pow (sqrt -1) 2))
(* x (* (exp (* 1/4 (+ (log -1) (* -7 (log (/ -1 y)))))) (sqrt -1)))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y))))))
(* (* x (pow (sqrt -1) 2)) (sqrt (pow y 3)))
Outputs
(* x y)
(*.f64 x y)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (sqrt y))
(*.f64 (sqrt.f64 y) x)
x
(* (pow (* 1 (pow y 7)) 1/4) x)
(*.f64 (pow.f64 (pow.f64 y #s(literal 7 binary64)) #s(literal 1/4 binary64)) x)
(* x (sqrt (pow y 3)))
(*.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) x)
(sqrt y)
(sqrt.f64 y)
(pow y 2)
(*.f64 y y)
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 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))
(* (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) (* -7 (log (/ -1 y)))))) (sqrt -1)))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (pow.f64 (neg.f64 (pow.f64 (neg.f64 y) #s(literal 7 binary64))) #s(literal 1/4 binary64)))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y))))))
(pow.f64 y #s(literal 1/4 binary64))
(* (* x (pow (sqrt -1) 2)) (sqrt (pow y 3)))
(*.f64 (neg.f64 x) (sqrt.f64 (pow.f64 y #s(literal 3 binary64))))

rewrite191.0ms (5.5%)

Memory
12.1MiB live, 246.0MiB allocated; 35ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02184
03685
19461
231157
3168357
0844157
Stop Event
iter limit
node limit
iter limit
Counts
15 → 1 569
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 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 y) x))
(pow.f64 y #s(literal 3/2 binary64))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x))
(pow.f64 y #s(literal 1/4 binary64))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) x)
Outputs
(*.f64 (neg.f64 (/.f64 x #s(literal 1 binary64))) y)
(*.f64 (neg.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal 1/8 binary64)))) (pow.f64 y #s(literal 3/8 binary64)))
(*.f64 (neg.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal 3/8 binary64)))) (pow.f64 y #s(literal 1/8 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 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 (*.f64 (*.f64 x (sqrt.f64 y)) (neg.f64 (pow.f64 y #s(literal 1/4 binary64)))) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal 1/8 binary64))) (neg.f64 (pow.f64 y #s(literal 3/8 binary64))))
(*.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal 1/8 binary64))) (pow.f64 y #s(literal 3/8 binary64)))
(*.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal 1/4 binary64))) (neg.f64 (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal 3/8 binary64))) (neg.f64 (pow.f64 y #s(literal 1/8 binary64))))
(*.f64 (*.f64 (*.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal 3/8 binary64))) (pow.f64 y #s(literal 1/8 binary64)))
(*.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))) (neg.f64 (sqrt.f64 y)))
(*.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 3/8 binary64))) (*.f64 (pow.f64 y #s(literal 1/8 binary64)) (*.f64 x (sqrt.f64 y))))
(*.f64 (pow.f64 y #s(literal 3/8 binary64)) (neg.f64 (*.f64 (pow.f64 y #s(literal 1/8 binary64)) (*.f64 x (sqrt.f64 y)))))
(*.f64 (pow.f64 y #s(literal 3/8 binary64)) (*.f64 (pow.f64 y #s(literal 1/8 binary64)) (*.f64 x (sqrt.f64 y))))
(*.f64 (*.f64 x y) #s(literal -1 binary64))
(*.f64 (*.f64 x y) #s(literal 1 binary64))
(*.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) (*.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) (*.f64 x (sqrt.f64 y))))
(*.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 x (sqrt.f64 y))))
(*.f64 (neg.f64 (pow.f64 y #s(literal 1/8 binary64))) (*.f64 (pow.f64 y #s(literal 3/8 binary64)) (*.f64 x (sqrt.f64 y))))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 (pow.f64 y #s(literal 1/8 binary64)) (neg.f64 (*.f64 (pow.f64 y #s(literal 3/8 binary64)) (*.f64 x (sqrt.f64 y)))))
(*.f64 (pow.f64 y #s(literal 1/8 binary64)) (*.f64 (pow.f64 y #s(literal 3/8 binary64)) (*.f64 x (sqrt.f64 y))))
(*.f64 (neg.f64 x) y)
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) (*.f64 x (sqrt.f64 y))))
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(*.f64 (sqrt.f64 y) (*.f64 x y))
(*.f64 y (*.f64 x (sqrt.f64 y)))
(/.f64 (-.f64 (*.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) x) (*.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) x)) (*.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) x) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) x))) (-.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) x) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) x)))
(/.f64 (-.f64 (*.f64 (*.f64 x (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y)))) (*.f64 x (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))))) (*.f64 (*.f64 x (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64)))) (*.f64 x (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64)))))) (-.f64 (*.f64 x (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y)))) (*.f64 x (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) x) (*.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) x) (-.f64 (*.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) x) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) x)) (*.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) x) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y)))) #s(literal 3 binary64)) (pow.f64 (*.f64 x (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 x (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y)))) (*.f64 x (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y)))) (-.f64 (*.f64 (*.f64 x (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64)))) (*.f64 x (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))))) (*.f64 (*.f64 x (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y)))) (*.f64 x (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))))))))
(neg.f64 (*.f64 (neg.f64 (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x)) (pow.f64 y #s(literal 3/4 binary64))))
(neg.f64 (*.f64 (*.f64 x y) (neg.f64 (sqrt.f64 y))))
(neg.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (neg.f64 x)))
(neg.f64 (*.f64 (pow.f64 y #s(literal 3/4 binary64)) (neg.f64 (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x))))
(neg.f64 (*.f64 (neg.f64 x) (pow.f64 y #s(literal 3/2 binary64))))
(neg.f64 (*.f64 (neg.f64 (sqrt.f64 y)) (*.f64 x y)))
(neg.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x))
(fma.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) x (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) x))
(fma.f64 x (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) (*.f64 x (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64)))))
(-.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) x) (*.f64 (neg.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64)))) x))
(-.f64 (*.f64 x (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y)))) (*.f64 (neg.f64 x) (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64)))))
(+.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) x) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) x))
(+.f64 (*.f64 x (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y)))) (*.f64 x (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64)))))

eval163.0ms (4.7%)

Memory
0.6MiB live, 289.7MiB allocated; 35ms collecting garbage
Compiler

Compiled 21 819 to 3 132 computations (85.6% saved)

prune24.0ms (0.7%)

Memory
-6.7MiB live, 87.2MiB allocated; 3ms collecting garbage
Pruning

13 alts after pruning (9 fresh and 4 done)

PrunedKeptTotal
New1 17691 185
Fresh000
Picked235
Done011
Total1 178131 191
Accuracy
100.0%
Counts
1 191 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
93.6%
(/.f64 (*.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal -3/2 binary64)))
99.7%
(/.f64 (*.f64 x y) (pow.f64 y #s(literal -1 binary64)))
86.6%
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
86.8%
(/.f64 x (pow.f64 y #s(literal -2 binary64)))
86.3%
(*.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -4 binary64)) x)
92.9%
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 y) x))
98.2%
(*.f64 (pow.f64 y #s(literal 5/4 binary64)) (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x))
99.6%
(*.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) (sqrt.f64 y)) y)
99.5%
(*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 1/2 binary64)) x) (sqrt.f64 y)) y)
99.5%
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y)
92.7%
(*.f64 (*.f64 (sqrt.f64 y) y) (*.f64 (sqrt.f64 y) x))
86.7%
(*.f64 (*.f64 y y) x)
99.8%
(*.f64 (*.f64 x y) y)
Compiler

Compiled 175 to 145 computations (17.1% saved)

simplify42.0ms (1.2%)

Memory
13.8MiB live, 58.9MiB allocated; 5ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

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

Useful iterations: 4 (0.0ms)

IterNodesCost
02489
04089
16289
213383
324683
444479
564479
673279
778979
8101679
9116879
10128279
11128279
0128279
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) (pow.f64 y #s(literal -1 binary64)))
(*.f64 x y)
x
y
(pow.f64 y #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(*.f64 y y)
y
(/.f64 x (pow.f64 y #s(literal -2 binary64)))
x
(pow.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
(/.f64 (*.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal -3/2 binary64)))
(*.f64 x (sqrt.f64 y))
x
(sqrt.f64 y)
y
(pow.f64 y #s(literal -3/2 binary64))
#s(literal -3/2 binary64)
(*.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -4 binary64)) x)
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -4 binary64))
(pow.f64 y #s(literal -1/2 binary64))
y
#s(literal -1/2 binary64)
#s(literal -4 binary64)
x
Outputs
(/.f64 (*.f64 x y) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (*.f64 y y) x)
(*.f64 x y)
(*.f64 y x)
x
y
(pow.f64 y #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (*.f64 y y) x)
(*.f64 x #s(literal 1 binary64))
x
x
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(pow.f64 y #s(literal -2 binary64))
(*.f64 y y)
y
(/.f64 x (pow.f64 y #s(literal -2 binary64)))
(*.f64 (*.f64 y y) x)
x
(pow.f64 y #s(literal -2 binary64))
y
#s(literal -2 binary64)
(/.f64 (*.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal -3/2 binary64)))
(*.f64 (/.f64 x (pow.f64 y #s(literal -3/2 binary64))) (sqrt.f64 y))
(*.f64 x (sqrt.f64 y))
(*.f64 (sqrt.f64 y) x)
x
(sqrt.f64 y)
y
(pow.f64 y #s(literal -3/2 binary64))
#s(literal -3/2 binary64)
(*.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -4 binary64)) x)
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -4 binary64))
(pow.f64 y #s(literal -1/2 binary64))
y
#s(literal -1/2 binary64)
#s(literal -4 binary64)
x

localize137.0ms (4%)

Memory
16.9MiB live, 124.0MiB allocated; 108ms collecting garbage
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(pow.f64 y #s(literal -1/2 binary64))
accuracy0.4989015625901448
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -4 binary64))
accuracy8.49386750182205
(*.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -4 binary64)) x)
accuracy0.0
(sqrt.f64 y)
accuracy0.00390625
(pow.f64 y #s(literal -3/2 binary64))
accuracy0.234375
(*.f64 x (sqrt.f64 y))
accuracy4.060269695131004
(/.f64 (*.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal -3/2 binary64)))
accuracy0.00390625
(pow.f64 y #s(literal -2 binary64))
accuracy8.473944826768246
(/.f64 x (pow.f64 y #s(literal -2 binary64)))
accuracy0.0
(*.f64 y y)
accuracy0.0
(*.f64 x #s(literal 1 binary64))
accuracy0.2749963317046312
(/.f64 #s(literal 1 binary64) (*.f64 y y))
accuracy8.473944826768246
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
accuracy0.0
(*.f64 x y)
accuracy0.00390625
(pow.f64 y #s(literal -1 binary64))
accuracy0.16082001953688402
(/.f64 (*.f64 x y) (pow.f64 y #s(literal -1 binary64)))
Samples
123.0ms256×0valid
Compiler

Compiled 91 to 26 computations (71.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 108.0ms
ival-div: 61.0ms (56.6% of total)
exact: 17.0ms (15.8% of total)
ival-pow: 17.0ms (15.8% of total)
ival-mult: 8.0ms (7.4% of total)
ival-sqrt: 5.0ms (4.6% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series38.0ms (1.1%)

Memory
-30.2MiB live, 17.0MiB allocated; 3ms collecting garbage
Counts
16 → 16
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) (pow.f64 y #s(literal -1 binary64)))
(*.f64 x y)
(pow.f64 y #s(literal -1 binary64))
(*.f64 x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 y y)
(/.f64 x (pow.f64 y #s(literal -2 binary64)))
(pow.f64 y #s(literal -2 binary64))
(/.f64 (*.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal -3/2 binary64)))
(*.f64 x (sqrt.f64 y))
(sqrt.f64 y)
(pow.f64 y #s(literal -3/2 binary64))
(*.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -4 binary64)) x)
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -4 binary64))
(pow.f64 y #s(literal -1/2 binary64))
Outputs
(* x (pow y 2))
(* x y)
x
(* x (sqrt y))
(/ 1 y)
(/ 1 (pow y 2))
(pow y 2)
(sqrt y)
(sqrt (/ 1 (pow y 3)))
(sqrt (/ 1 y))
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt y)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ 1 (pow y 3))) (pow (sqrt -1) 2)))
(/ (* x (pow y 2)) (pow (sqrt -1) 4))
(/ (pow y 2) (pow (sqrt -1) 4))
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2))
Calls

6 calls:

TimeVariablePointExpression
30.0ms
y
@-inf
((/ (* x y) (pow y -1)) (* x y) (pow y -1) (* x 1) (/ 1 (* y y)) (/ (* x 1) (/ 1 (* y y))) (* y y) (/ x (pow y -2)) (pow y -2) (/ (* x (sqrt y)) (pow y -3/2)) (* x (sqrt y)) (sqrt y) (pow y -3/2) (* (pow (pow y -1/2) -4) x) (pow (pow y -1/2) -4) (pow y -1/2))
2.0ms
y
@0
((/ (* x y) (pow y -1)) (* x y) (pow y -1) (* x 1) (/ 1 (* y y)) (/ (* x 1) (/ 1 (* y y))) (* y y) (/ x (pow y -2)) (pow y -2) (/ (* x (sqrt y)) (pow y -3/2)) (* x (sqrt y)) (sqrt y) (pow y -3/2) (* (pow (pow y -1/2) -4) x) (pow (pow y -1/2) -4) (pow y -1/2))
2.0ms
y
@inf
((/ (* x y) (pow y -1)) (* x y) (pow y -1) (* x 1) (/ 1 (* y y)) (/ (* x 1) (/ 1 (* y y))) (* y y) (/ x (pow y -2)) (pow y -2) (/ (* x (sqrt y)) (pow y -3/2)) (* x (sqrt y)) (sqrt y) (pow y -3/2) (* (pow (pow y -1/2) -4) x) (pow (pow y -1/2) -4) (pow y -1/2))
1.0ms
x
@-inf
((/ (* x y) (pow y -1)) (* x y) (pow y -1) (* x 1) (/ 1 (* y y)) (/ (* x 1) (/ 1 (* y y))) (* y y) (/ x (pow y -2)) (pow y -2) (/ (* x (sqrt y)) (pow y -3/2)) (* x (sqrt y)) (sqrt y) (pow y -3/2) (* (pow (pow y -1/2) -4) x) (pow (pow y -1/2) -4) (pow y -1/2))
1.0ms
x
@0
((/ (* x y) (pow y -1)) (* x y) (pow y -1) (* x 1) (/ 1 (* y y)) (/ (* x 1) (/ 1 (* y y))) (* y y) (/ x (pow y -2)) (pow y -2) (/ (* x (sqrt y)) (pow y -3/2)) (* x (sqrt y)) (sqrt y) (pow y -3/2) (* (pow (pow y -1/2) -4) x) (pow (pow y -1/2) -4) (pow y -1/2))

simplify412.0ms (12%)

Memory
17.6MiB live, 158.6MiB allocated; 12ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03165
16162
213861
330061
492261
5180361
6205961
7216261
8230061
9231261
10231761
11231761
12231761
13270161
14281361
15281361
16293161
17338561
18386661
19397261
20411161
21447361
22465561
0499061
Stop Event
iter limit
iter limit
iter limit
unsound
Counts
16 → 15
Calls
Call 1
Inputs
(* x (pow y 2))
(* x y)
x
(* x (sqrt y))
(/ 1 y)
(/ 1 (pow y 2))
(pow y 2)
(sqrt y)
(sqrt (/ 1 (pow y 3)))
(sqrt (/ 1 y))
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt y)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ 1 (pow y 3))) (pow (sqrt -1) 2)))
(/ (* x (pow y 2)) (pow (sqrt -1) 4))
(/ (pow y 2) (pow (sqrt -1) 4))
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2))
Outputs
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x y)
(*.f64 y x)
x
(* x (sqrt y))
(*.f64 (sqrt.f64 y) x)
(/ 1 y)
(/.f64 #s(literal -1 binary64) y)
(/ 1 (pow y 2))
(/.f64 (/.f64 #s(literal -1 binary64) y) y)
(pow y 2)
(*.f64 y y)
(sqrt y)
(sqrt.f64 y)
(sqrt (/ 1 (pow y 3)))
(sqrt.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 3 binary64)))
(sqrt (/ 1 y))
(sqrt.f64 (/.f64 #s(literal -1 binary64) y))
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt y)))
(*.f64 (sqrt.f64 y) x)
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(sqrt.f64 y)
(* -1 (* (sqrt (/ 1 (pow y 3))) (pow (sqrt -1) 2)))
(sqrt.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 3 binary64)))
(/ (* x (pow y 2)) (pow (sqrt -1) 4))
(*.f64 (*.f64 y y) x)
(/ (pow y 2) (pow (sqrt -1) 4))
(*.f64 y y)
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) y)))

rewrite143.0ms (4.1%)

Memory
-10.1MiB live, 225.4MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02473
04070
111466
241556
3249156
0863956
Stop Event
iter limit
node limit
iter limit
Counts
16 → 1 305
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) (pow.f64 y #s(literal -1 binary64)))
(*.f64 x y)
(pow.f64 y #s(literal -1 binary64))
(*.f64 x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 y y)
(/.f64 x (pow.f64 y #s(literal -2 binary64)))
(pow.f64 y #s(literal -2 binary64))
(/.f64 (*.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal -3/2 binary64)))
(*.f64 x (sqrt.f64 y))
(sqrt.f64 y)
(pow.f64 y #s(literal -3/2 binary64))
(*.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -4 binary64)) x)
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -4 binary64))
(pow.f64 y #s(literal -1/2 binary64))
Outputs
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5/4 binary64))) (/.f64 x (pow.f64 y #s(literal -3/4 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3/2 binary64))) (*.f64 (sqrt.f64 y) x))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 x (pow.f64 y #s(literal -3/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -3/2 binary64))) (*.f64 (sqrt.f64 y) x))
(*.f64 (/.f64 (*.f64 y x) (pow.f64 y #s(literal -3/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64)) (/.f64 x (pow.f64 y #s(literal -3/2 binary64))))
(*.f64 (/.f64 (*.f64 y x) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal 3/4 binary64)))
(*.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 y #s(literal 7/4 binary64)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 y #s(literal -3/4 binary64))) #s(literal -1 binary64)) (/.f64 (*.f64 (sqrt.f64 y) x) (neg.f64 (pow.f64 y #s(literal -3/4 binary64)))))
(*.f64 (pow.f64 (neg.f64 (pow.f64 y #s(literal -3/4 binary64))) #s(literal -1 binary64)) (*.f64 x (pow.f64 y #s(literal 5/4 binary64))))
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(/.f64 (-.f64 (*.f64 (fma.f64 y y (pow.f64 y #s(literal -2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 y #s(literal -2 binary64)) (*.f64 y y)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (-.f64 (*.f64 y y) (pow.f64 y #s(literal -2 binary64))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 y y (pow.f64 y #s(literal -2 binary64))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (fma.f64 y y (pow.f64 y #s(literal -2 binary64))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 y y) (pow.f64 y #s(literal -2 binary64))))) #s(literal 4 binary64))
(/.f64 (-.f64 (fma.f64 y y (pow.f64 y #s(literal -2 binary64))) (-.f64 (pow.f64 y #s(literal -2 binary64)) (*.f64 y y))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (neg.f64 (pow.f64 y #s(literal -1/4 binary64))))) (pow.f64 y #s(literal -1/4 binary64)))
(/.f64 (fabs.f64 (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal -1/4 binary64)))) (pow.f64 y #s(literal -1/4 binary64)))
(/.f64 (fabs.f64 (pow.f64 y #s(literal 13/8 binary64))) (pow.f64 y #s(literal -3/8 binary64)))
(/.f64 (fabs.f64 (*.f64 (pow.f64 y #s(literal 5/4 binary64)) #s(literal 1 binary64))) (pow.f64 y #s(literal -3/4 binary64)))
(/.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 y)))) (pow.f64 y #s(literal -3/2 binary64)))
(/.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5/4 binary64)))) (pow.f64 y #s(literal -3/4 binary64)))
(/.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3/2 binary64)))) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 (fabs.f64 (*.f64 (neg.f64 (sqrt.f64 y)) #s(literal 1 binary64))) (pow.f64 y #s(literal -3/2 binary64)))
(/.f64 (fabs.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) #s(literal 3 binary64)))) (fabs.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))))))))
(/.f64 (fabs.f64 (/.f64 (sqrt.f64 y) (neg.f64 (pow.f64 y #s(literal -3/4 binary64))))) (pow.f64 y #s(literal -3/4 binary64)))
(/.f64 (fabs.f64 (/.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 y #s(literal -3/4 binary64)))) (pow.f64 y #s(literal -3/4 binary64)))
(/.f64 (fabs.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64)))) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 (exp.f64 (log.f64 (neg.f64 (sqrt.f64 y)))) (pow.f64 y #s(literal -3/2 binary64)))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (pow.f64 y #s(literal -2 binary64)))
(/.f64 (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))) (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))) (pow.f64 y #s(literal -1/4 binary64)))
(/.f64 (pow.f64 y #s(literal 13/8 binary64)) (pow.f64 y #s(literal -3/8 binary64)))
(/.f64 (*.f64 (pow.f64 y #s(literal 5/4 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal -3/4 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 y))) (pow.f64 y #s(literal -3/2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5/4 binary64))) (pow.f64 y #s(literal -3/4 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 y)) #s(literal 1 binary64)) (pow.f64 y #s(literal -3/2 binary64)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))))))
(/.f64 (pow.f64 y #s(literal 7/4 binary64)) (pow.f64 y #s(literal -1/4 binary64)))
(/.f64 (/.f64 (sqrt.f64 y) (neg.f64 (pow.f64 y #s(literal -3/4 binary64)))) (neg.f64 (pow.f64 y #s(literal -3/4 binary64))))
(/.f64 (/.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 y #s(literal -3/4 binary64))) (neg.f64 (pow.f64 y #s(literal -3/4 binary64))))
(/.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (pow.f64 y #s(literal 5/4 binary64))) (neg.f64 (pow.f64 y #s(literal -3/4 binary64))))
(/.f64 (neg.f64 (pow.f64 y #s(literal 5/4 binary64))) (pow.f64 y #s(literal -3/4 binary64)))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 y))) (pow.f64 y #s(literal -3/2 binary64)))
(/.f64 (pow.f64 y #s(literal 3/2 binary64)) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))
(/.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 (pow.f64 y #s(literal 5/4 binary64)) (neg.f64 (pow.f64 y #s(literal -3/4 binary64))))
(/.f64 (pow.f64 y #s(literal 5/4 binary64)) (pow.f64 y #s(literal -3/4 binary64)))
(/.f64 (neg.f64 (sqrt.f64 y)) (pow.f64 y #s(literal -3/2 binary64)))
(/.f64 y (pow.f64 y #s(literal -1 binary64)))
(/.f64 (sqrt.f64 y) (pow.f64 y #s(literal -3/2 binary64)))
(/.f64 (*.f64 y y) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -2 binary64)))
(neg.f64 (*.f64 y y))
(fma.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) #s(literal 1 binary64) (*.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (log.f64 y)) (cosh.f64 (log.f64 y))) (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))))
(fma.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) (*.f64 #s(literal 1 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))))
(sqrt.f64 (/.f64 (*.f64 y y) (pow.f64 y #s(literal -2 binary64))))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(-.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) (sinh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64))))
(fabs.f64 (*.f64 y y))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -4 binary64))) (*.f64 (log.f64 y) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y)) #s(literal -8 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(+.f64 (*.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) #s(literal 1 binary64)) (*.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))) (*.f64 #s(literal 1 binary64) (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))))
(+.f64 (neg.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))) (sinh.f64 (*.f64 (log.f64 y) #s(literal -2 binary64))))
(+.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))))
(+.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))))
(*.f64 (neg.f64 (neg.f64 (neg.f64 (pow.f64 y #s(literal -1/4 binary64))))) (neg.f64 (neg.f64 (neg.f64 (pow.f64 y #s(literal -1/4 binary64))))))
(*.f64 (fabs.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/4 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))) (sqrt.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))))
(*.f64 (sqrt.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/4 binary64)))) (pow.f64 y #s(literal -1/8 binary64)))
(*.f64 (sqrt.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 y #s(literal -7/8 binary64))) (sqrt.f64 (pow.f64 y #s(literal -1/8 binary64))))
(*.f64 (sqrt.f64 (pow.f64 y #s(literal -1/8 binary64))) (sqrt.f64 (pow.f64 y #s(literal -7/8 binary64))))
(*.f64 (sqrt.f64 (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))) (sqrt.f64 (neg.f64 (pow.f64 y #s(literal -3/4 binary64)))))
(*.f64 (sqrt.f64 (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))) (pow.f64 y #s(literal -3/8 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (sqrt.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (sqrt.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))))
(*.f64 (sqrt.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) (pow.f64 y #s(literal -1/4 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (pow.f64 y #s(literal -3/4 binary64)))) (sqrt.f64 (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))))
(*.f64 (sqrt.f64 (neg.f64 (pow.f64 y #s(literal -3/4 binary64)))) (pow.f64 y #s(literal -1/8 binary64)))
(*.f64 (exp.f64 (log.f64 (neg.f64 (pow.f64 y #s(literal -1/4 binary64))))) (exp.f64 (log.f64 (neg.f64 (pow.f64 y #s(literal -1/4 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 (pow.f64 #s(literal -1 binary64) #s(literal -1/4 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (pow.f64 y #s(literal -3/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 1 binary64))))
(*.f64 (pow.f64 y #s(literal -3/8 binary64)) (sqrt.f64 (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))))
(*.f64 (pow.f64 y #s(literal -3/8 binary64)) (pow.f64 y #s(literal -1/8 binary64)))
(*.f64 (pow.f64 y #s(literal -1/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 y #s(literal -1/4 binary64)) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))))
(*.f64 (pow.f64 y #s(literal -1/8 binary64)) (sqrt.f64 (*.f64 (pow.f64 y #s(literal -3/4 binary64)) #s(literal 1 binary64))))
(*.f64 (pow.f64 y #s(literal -1/8 binary64)) (sqrt.f64 (neg.f64 (pow.f64 y #s(literal -3/4 binary64)))))
(*.f64 (pow.f64 y #s(literal -1/8 binary64)) (pow.f64 y #s(literal -3/8 binary64)))
(*.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)) (sqrt.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 y #s(literal -1/4 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 #s(literal -1/4 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 y)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (log.f64 y)))
(pow.f64 (neg.f64 (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (*.f64 (log.f64 y) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 y) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (sqrt.f64 y)))
(pow.f64 (exp.f64 #s(literal -4 binary64)) (*.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) #s(literal -1/4 binary64)))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (log.f64 y))
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/8 binary64))
(pow.f64 (pow.f64 y #s(literal -1/8 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal -2 binary64))
(pow.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (neg.f64 (pow.f64 y #s(literal -1/4 binary64))) #s(literal 2 binary64))
(pow.f64 y #s(literal -1/2 binary64))
(pow.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 y) #s(literal -1 binary64))
(pow.f64 (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))
(/.f64 (fma.f64 (-.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 y)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 y)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (+.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 y)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 y)))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) #s(literal 3 binary64)))) (fabs.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 y)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 (log.f64 y))) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (neg.f64 (log.f64 y))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (log.f64 y)) (sinh.f64 (neg.f64 (log.f64 y))))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)))))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 y))
(/.f64 (pow.f64 y #s(literal -1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 y))
(neg.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y))) (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y)))) (cosh.f64 (log.f64 (sqrt.f64 y))))
(sqrt.f64 (pow.f64 y #s(literal -1 binary64)))
(fabs.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))
(fabs.f64 (pow.f64 y #s(literal -1/2 binary64)))
(exp.f64 (/.f64 (neg.f64 (log.f64 y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1/2 binary64))) (log.f64 y)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (pow.f64 y #s(literal -1/4 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal -2 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 y)) #s(literal 1/2 binary64)))
(exp.f64 (neg.f64 (log.f64 (sqrt.f64 y))))
(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 (log.f64 (sqrt.f64 y))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) (sinh.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64))))

eval79.0ms (2.3%)

Memory
27.9MiB live, 172.1MiB allocated; 13ms collecting garbage
Compiler

Compiled 9 274 to 2 001 computations (78.4% saved)

prune17.0ms (0.5%)

Memory
7.0MiB live, 51.5MiB allocated; 5ms collecting garbage
Pruning

12 alts after pruning (7 fresh and 5 done)

PrunedKeptTotal
New6963699
Fresh044
Picked325
Done134
Total70012712
Accuracy
100.0%
Counts
712 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
93.6%
(/.f64 (*.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal -3/2 binary64)))
99.7%
(/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) y))
86.8%
(/.f64 x (pow.f64 y #s(literal -2 binary64)))
86.6%
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y)))
86.2%
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal -4 binary64)) x)
92.9%
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 y) x))
98.2%
(*.f64 (pow.f64 y #s(literal 5/4 binary64)) (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x))
99.6%
(*.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) (sqrt.f64 y)) y)
99.5%
(*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 1/2 binary64)) x) (sqrt.f64 y)) y)
92.7%
(*.f64 (*.f64 (sqrt.f64 y) y) (*.f64 (sqrt.f64 y) x))
86.7%
(*.f64 (*.f64 y y) x)
99.8%
(*.f64 (*.f64 x y) y)
Compiler

Compiled 151 to 127 computations (15.9% saved)

simplify37.0ms (1.1%)

Memory
-31.5MiB live, 15.7MiB allocated; 3ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

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

Useful iterations: 1 (0.0ms)

IterNodesCost
022110
03998
16889
211989
320289
446089
591889
6159889
7165489
8166589
9167689
10169489
11169489
0169489
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) y))
(*.f64 x y)
x
y
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
(/.f64 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 (sqrt.f64 y) y) (*.f64 (sqrt.f64 y) x))
(*.f64 (sqrt.f64 y) y)
(sqrt.f64 y)
y
(*.f64 (sqrt.f64 y) x)
x
(*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 1/2 binary64)) x) (sqrt.f64 y)) y)
(*.f64 (*.f64 (pow.f64 y #s(literal 1/2 binary64)) x) (sqrt.f64 y))
(*.f64 (pow.f64 y #s(literal 1/2 binary64)) x)
(pow.f64 y #s(literal 1/2 binary64))
y
#s(literal 1/2 binary64)
x
(sqrt.f64 y)
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal -4 binary64)) x)
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal -4 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 y))
#s(literal 1 binary64)
(sqrt.f64 y)
y
#s(literal -4 binary64)
x
Outputs
(/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 y y) x)
(*.f64 x y)
(*.f64 y x)
x
y
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (*.f64 y y) x)
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 (sqrt.f64 y) y) (*.f64 (sqrt.f64 y) x))
(*.f64 (*.f64 y y) x)
(*.f64 (sqrt.f64 y) y)
(pow.f64 y #s(literal 3/2 binary64))
(sqrt.f64 y)
y
(*.f64 (sqrt.f64 y) x)
x
(*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 1/2 binary64)) x) (sqrt.f64 y)) y)
(*.f64 (*.f64 y y) x)
(*.f64 (*.f64 (pow.f64 y #s(literal 1/2 binary64)) x) (sqrt.f64 y))
(*.f64 y x)
(*.f64 (pow.f64 y #s(literal 1/2 binary64)) x)
(*.f64 (sqrt.f64 y) x)
(pow.f64 y #s(literal 1/2 binary64))
(sqrt.f64 y)
y
#s(literal 1/2 binary64)
x
(sqrt.f64 y)
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal -4 binary64)) x)
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal -4 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 y))
#s(literal 1 binary64)
(sqrt.f64 y)
y
#s(literal -4 binary64)
x

localize72.0ms (2.1%)

Memory
26.3MiB live, 84.1MiB allocated; 10ms collecting garbage
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(sqrt.f64 y)
accuracy0.28515625
(/.f64 #s(literal 1 binary64) (sqrt.f64 y))
accuracy0.4989015625901448
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal -4 binary64))
accuracy8.49386750182205
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal -4 binary64)) x)
accuracy0.0078125
(pow.f64 y #s(literal 1/2 binary64))
accuracy0.12890625
(*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 1/2 binary64)) x) (sqrt.f64 y)) y)
accuracy0.234375
(*.f64 (pow.f64 y #s(literal 1/2 binary64)) x)
accuracy0.2578125
(*.f64 (*.f64 (pow.f64 y #s(literal 1/2 binary64)) x) (sqrt.f64 y))
accuracy0.0
(sqrt.f64 y)
accuracy0.1875
(*.f64 (sqrt.f64 y) y)
accuracy0.234375
(*.f64 (sqrt.f64 y) x)
accuracy4.520331459925071
(*.f64 (*.f64 (sqrt.f64 y) y) (*.f64 (sqrt.f64 y) x))
accuracy0.0
(*.f64 y y)
accuracy0.2749963317046312
(/.f64 #s(literal 1 binary64) (*.f64 y y))
accuracy8.473944826768246
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y)))
accuracy0.0
(/.f64 #s(literal 1 binary64) y)
accuracy0.0
(*.f64 x y)
accuracy0.16082001953688402
(/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) y))
Samples
58.0ms256×0valid
Compiler

Compiled 112 to 22 computations (80.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-mult: 24.0ms (54.6% of total)
ival-sqrt: 10.0ms (22.8% of total)
ival-div: 7.0ms (15.9% of total)
ival-pow: 3.0ms (6.8% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series27.0ms (0.8%)

Memory
-18.6MiB live, 28.6MiB allocated; 2ms collecting garbage
Counts
17 → 16
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) y))
(*.f64 x y)
(/.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 (sqrt.f64 y) y) (*.f64 (sqrt.f64 y) x))
(*.f64 (sqrt.f64 y) y)
(sqrt.f64 y)
(*.f64 (sqrt.f64 y) x)
(*.f64 (*.f64 (pow.f64 y #s(literal 1/2 binary64)) x) (sqrt.f64 y))
(pow.f64 y #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 1/2 binary64)) x) (sqrt.f64 y)) y)
(*.f64 (pow.f64 y #s(literal 1/2 binary64)) x)
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal -4 binary64)) x)
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal -4 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 y))
Outputs
(* x (pow y 2))
(* x y)
(* x (sqrt y))
(/ 1 y)
(/ 1 (pow y 2))
(pow y 2)
(sqrt (pow y 3))
(sqrt y)
(sqrt (/ 1 y))
(* -1 (* x (* (pow y 2) (pow (sqrt -1) 2))))
(* -1 (* (sqrt (pow y 3)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt y)))
(* -1 (* x (* y (pow (sqrt -1) 2))))
(* x (* (pow y 2) (pow (sqrt -1) 4)))
(* (pow y 2) (pow (sqrt -1) 4))
Calls

6 calls:

TimeVariablePointExpression
15.0ms
x
@inf
((/ (* x y) (/ 1 y)) (* x y) (/ 1 y) (/ x (/ 1 (* y y))) (/ 1 (* y y)) (* y y) (* (* (sqrt y) y) (* (sqrt y) x)) (* (sqrt y) y) (sqrt y) (* (sqrt y) x) (* (* (pow y 1/2) x) (sqrt y)) (pow y 1/2) (* (* (* (pow y 1/2) x) (sqrt y)) y) (* (pow y 1/2) x) (* (pow (/ 1 (sqrt y)) -4) x) (pow (/ 1 (sqrt y)) -4) (/ 1 (sqrt y)))
5.0ms
y
@-inf
((/ (* x y) (/ 1 y)) (* x y) (/ 1 y) (/ x (/ 1 (* y y))) (/ 1 (* y y)) (* y y) (* (* (sqrt y) y) (* (sqrt y) x)) (* (sqrt y) y) (sqrt y) (* (sqrt y) x) (* (* (pow y 1/2) x) (sqrt y)) (pow y 1/2) (* (* (* (pow y 1/2) x) (sqrt y)) y) (* (pow y 1/2) x) (* (pow (/ 1 (sqrt y)) -4) x) (pow (/ 1 (sqrt y)) -4) (/ 1 (sqrt y)))
2.0ms
y
@inf
((/ (* x y) (/ 1 y)) (* x y) (/ 1 y) (/ x (/ 1 (* y y))) (/ 1 (* y y)) (* y y) (* (* (sqrt y) y) (* (sqrt y) x)) (* (sqrt y) y) (sqrt y) (* (sqrt y) x) (* (* (pow y 1/2) x) (sqrt y)) (pow y 1/2) (* (* (* (pow y 1/2) x) (sqrt y)) y) (* (pow y 1/2) x) (* (pow (/ 1 (sqrt y)) -4) x) (pow (/ 1 (sqrt y)) -4) (/ 1 (sqrt y)))
2.0ms
y
@0
((/ (* x y) (/ 1 y)) (* x y) (/ 1 y) (/ x (/ 1 (* y y))) (/ 1 (* y y)) (* y y) (* (* (sqrt y) y) (* (sqrt y) x)) (* (sqrt y) y) (sqrt y) (* (sqrt y) x) (* (* (pow y 1/2) x) (sqrt y)) (pow y 1/2) (* (* (* (pow y 1/2) x) (sqrt y)) y) (* (pow y 1/2) x) (* (pow (/ 1 (sqrt y)) -4) x) (pow (/ 1 (sqrt y)) -4) (/ 1 (sqrt y)))
1.0ms
x
@-inf
((/ (* x y) (/ 1 y)) (* x y) (/ 1 y) (/ x (/ 1 (* y y))) (/ 1 (* y y)) (* y y) (* (* (sqrt y) y) (* (sqrt y) x)) (* (sqrt y) y) (sqrt y) (* (sqrt y) x) (* (* (pow y 1/2) x) (sqrt y)) (pow y 1/2) (* (* (* (pow y 1/2) x) (sqrt y)) y) (* (pow y 1/2) x) (* (pow (/ 1 (sqrt y)) -4) x) (pow (/ 1 (sqrt y)) -4) (/ 1 (sqrt y)))

simplify52.0ms (1.5%)

Memory
-12.3MiB live, 35.0MiB allocated; 1ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03559
17959
225959
365659
4112359
5158559
6190559
7196759
8196759
9196759
10196759
11196759
12220759
0220759
Stop Event
iter limit
saturated
Counts
16 → 16
Calls
Call 1
Inputs
(* x (pow y 2))
(* x y)
(* x (sqrt y))
(/ 1 y)
(/ 1 (pow y 2))
(pow y 2)
(sqrt (pow y 3))
(sqrt y)
(sqrt (/ 1 y))
(* -1 (* x (* (pow y 2) (pow (sqrt -1) 2))))
(* -1 (* (sqrt (pow y 3)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt y)))
(* -1 (* x (* y (pow (sqrt -1) 2))))
(* x (* (pow y 2) (pow (sqrt -1) 4)))
(* (pow y 2) (pow (sqrt -1) 4))
Outputs
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x y)
(*.f64 y x)
(* x (sqrt y))
(*.f64 (sqrt.f64 y) x)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 (pow y 2))
(/.f64 (/.f64 #s(literal -1 binary64) y) y)
(pow y 2)
(*.f64 y y)
(sqrt (pow y 3))
(sqrt.f64 (pow.f64 y #s(literal 3 binary64)))
(sqrt y)
(sqrt.f64 y)
(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 (* (sqrt (pow y 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (pow.f64 y #s(literal 3 binary64)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(sqrt.f64 y)
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt y)))
(*.f64 (sqrt.f64 y) x)
(* -1 (* x (* y (pow (sqrt -1) 2))))
(*.f64 y x)
(* x (* (pow y 2) (pow (sqrt -1) 4)))
(*.f64 (*.f64 y y) x)
(* (pow y 2) (pow (sqrt -1) 4))
(*.f64 y y)

rewrite59.0ms (1.7%)

Memory
28.8MiB live, 28.8MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02291
03975
110161
231461
0132061
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
17 → 644
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) y))
(*.f64 x y)
(/.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 (sqrt.f64 y) y) (*.f64 (sqrt.f64 y) x))
(*.f64 (sqrt.f64 y) y)
(sqrt.f64 y)
(*.f64 (sqrt.f64 y) x)
(*.f64 (*.f64 (pow.f64 y #s(literal 1/2 binary64)) x) (sqrt.f64 y))
(pow.f64 y #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 1/2 binary64)) x) (sqrt.f64 y)) y)
(*.f64 (pow.f64 y #s(literal 1/2 binary64)) x)
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal -4 binary64)) x)
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal -4 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 y))
Outputs
(*.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 (sqrt.f64 y) x) (pow.f64 y #s(literal 5/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) x)) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (*.f64 y (*.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) x) (sqrt.f64 y))) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (*.f64 x (pow.f64 y #s(literal 7/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (/.f64 (neg.f64 x) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 y (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 (neg.f64 y) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 x (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 y (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (neg.f64 x) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 y (pow.f64 y #s(literal -1/2 binary64))) (/.f64 x (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (neg.f64 y) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) (/.f64 y (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 y #s(literal -1 binary64)) (*.f64 y x))
(*.f64 (*.f64 (pow.f64 y #s(literal 7/4 binary64)) x) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) x) (pow.f64 y #s(literal 7/4 binary64)))
(*.f64 (pow.f64 y #s(literal 7/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) x))
(*.f64 (pow.f64 y #s(literal 5/4 binary64)) (*.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) x) (sqrt.f64 y)))
(*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) x) (sqrt.f64 y)) (pow.f64 y #s(literal 5/4 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 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) (*.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x)))
(*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (sqrt.f64 y))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) x) (pow.f64 y #s(literal 3/2 binary64))))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 7/4 binary64)) x))
(*.f64 (neg.f64 x) (*.f64 y y))
(*.f64 (neg.f64 y) (*.f64 y x))
(*.f64 (*.f64 (sqrt.f64 y) x) (pow.f64 y #s(literal 3/2 binary64)))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 y) x))
(*.f64 (sqrt.f64 y) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x))
(*.f64 (*.f64 y y) (neg.f64 x))
(*.f64 (*.f64 y y) x)
(*.f64 (*.f64 y x) (/.f64 y #s(literal -1 binary64)))
(*.f64 (*.f64 y x) (neg.f64 y))
(*.f64 (*.f64 y x) y)
(*.f64 y (*.f64 y x))
(*.f64 x (*.f64 y y))
(/.f64 (/.f64 (*.f64 y x) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 (*.f64 (*.f64 y y) x) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64))
(/.f64 (neg.f64 x) (*.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -2 binary64))))
(/.f64 (neg.f64 x) (pow.f64 y #s(literal -2 binary64)))
(/.f64 (*.f64 y x) (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 y x) (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 y x) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64))))
(/.f64 (*.f64 y x) (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))))
(/.f64 (*.f64 y x) (pow.f64 y #s(literal -1 binary64)))
(/.f64 x (*.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 x (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -2 binary64))))
(/.f64 x (pow.f64 y #s(literal -2 binary64)))
(neg.f64 (*.f64 (*.f64 y y) x))
(fma.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (*.f64 (sinh.f64 (log.f64 (sqrt.f64 y))) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x)))
(fma.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 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (cosh.f64 (log.f64 (sqrt.f64 y))) (*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (sinh.f64 (log.f64 (sqrt.f64 y)))))
(fma.f64 x (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) (*.f64 x (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))))
(+.f64 (*.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x)) (*.f64 (sinh.f64 (log.f64 (sqrt.f64 y))) (*.f64 (pow.f64 y #s(literal 3/2 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 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (cosh.f64 (log.f64 (sqrt.f64 y)))) (*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (sinh.f64 (log.f64 (sqrt.f64 y)))))
(+.f64 (*.f64 x (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))) (*.f64 x (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))))
(*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) x) (sqrt.f64 y)) (pow.f64 y #s(literal 1/8 binary64))) (pow.f64 y #s(literal 1/8 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (neg.f64 (pow.f64 y #s(literal 1/4 binary64)))) (neg.f64 (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (*.f64 (sqrt.f64 y) (pow.f64 y #s(literal 1/4 binary64))) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) x))
(*.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) x) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 y)))
(*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) x) (sqrt.f64 y)) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (pow.f64 y #s(literal 1/8 binary64)) (*.f64 (pow.f64 y #s(literal 1/8 binary64)) (*.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) x) (sqrt.f64 y))))
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(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal -1 binary64))) #s(literal -2 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(+.f64 (*.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) (pow.f64 y #s(literal 3/2 binary64))) (*.f64 (sinh.f64 (log.f64 (sqrt.f64 y))) (pow.f64 y #s(literal 3/2 binary64))))
(+.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (cosh.f64 (log.f64 (sqrt.f64 y)))) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (sinh.f64 (log.f64 (sqrt.f64 y)))))
(+.f64 (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))))
(+.f64 (cosh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) (sinh.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))))
(*.f64 (neg.f64 (pow.f64 y #s(literal -1/4 binary64))) (neg.f64 (pow.f64 y #s(literal -1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 y #s(literal -1/4 binary64))) (fabs.f64 (pow.f64 y #s(literal -1/4 binary64))))
(*.f64 (pow.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) #s(literal -1 binary64)) (pow.f64 (neg.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)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (sqrt.f64 y)))
(pow.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal -2 binary64))
(pow.f64 (sqrt.f64 y) #s(literal -1 binary64))
(pow.f64 (*.f64 y y) #s(literal -1/4 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 #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal 1/4 binary64)))) (neg.f64 (pow.f64 y #s(literal 1/4 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 1/4 binary64))) (neg.f64 (pow.f64 y #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (pow.f64 y #s(literal -1/4 binary64))) (neg.f64 (pow.f64 y #s(literal 1/4 binary64))))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (neg.f64 (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) (neg.f64 (sqrt.f64 y)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 y))
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)))
(-.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) (sinh.f64 (log.f64 (sqrt.f64 y))))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y)))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) (sinh.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y))))

eval78.0ms (2.3%)

Memory
-25.2MiB live, 66.6MiB allocated; 13ms collecting garbage
Compiler

Compiled 5 265 to 1 096 computations (79.2% saved)

prune12.0ms (0.4%)

Memory
25.7MiB live, 25.7MiB allocated; 0ms collecting garbage
Pruning

12 alts after pruning (2 fresh and 10 done)

PrunedKeptTotal
New4011402
Fresh112
Picked055
Done055
Total40212414
Accuracy
100.0%
Counts
414 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
93.6%
(/.f64 (*.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal -3/2 binary64)))
99.7%
(/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) y))
99.5%
(/.f64 (*.f64 x y) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) (/.f64 #s(literal -1 binary64) (sqrt.f64 y))))
86.8%
(/.f64 x (pow.f64 y #s(literal -2 binary64)))
86.6%
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y)))
86.2%
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal -4 binary64)) x)
92.9%
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 y) x))
98.2%
(*.f64 (pow.f64 y #s(literal 5/4 binary64)) (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x))
99.5%
(*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 1/2 binary64)) x) (sqrt.f64 y)) y)
92.7%
(*.f64 (*.f64 (sqrt.f64 y) y) (*.f64 (sqrt.f64 y) x))
86.7%
(*.f64 (*.f64 y y) x)
99.8%
(*.f64 (*.f64 x y) y)
Compiler

Compiled 250 to 140 computations (44% saved)

regimes43.0ms (1.3%)

Memory
-22.4MiB live, 22.1MiB allocated; 3ms collecting garbage
Accuracy

Total -8.9b remaining (-6867.4%)

Threshold costs -8.9b (-6867.4%)

Counts
19 → 1
Calls
Call 1
Inputs
(*.f64 (*.f64 x y) y)
(*.f64 (*.f64 y y) x)
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (*.f64 (sqrt.f64 y) y) (*.f64 (sqrt.f64 y) x))
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)) y)
(/.f64 (*.f64 x y) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) (/.f64 #s(literal -1 binary64) (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 x y) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 y) x))
(*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 1/2 binary64)) x) (sqrt.f64 y)) y)
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal -4 binary64)) x)
(/.f64 (*.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal -3/2 binary64)))
(*.f64 (*.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) (sqrt.f64 y)) y)
(*.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -4 binary64)) x)
(*.f64 (pow.f64 y #s(literal 5/4 binary64)) (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x)))
Outputs
(*.f64 (*.f64 x y) y)
Calls

3 calls:

33.0ms
x
5.0ms
y
4.0ms
(*.f64 (*.f64 x y) y)
Results
AccuracySegmentsBranch
99.8%1(*.f64 (*.f64 x y) y)
99.8%1x
99.8%1y
Compiler

Compiled 7 to 8 computations (-14.3% saved)

simplify9.0ms (0.3%)

Memory
11.5MiB live, 11.5MiB allocated; 0ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

derivations0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Stop Event
fuel
Compiler

Compiled 5 to 4 computations (20% saved)

preprocess23.0ms (0.7%)

Memory
13.5MiB live, 13.5MiB allocated; 0ms collecting garbage
Remove

(negabs x)

(abs y)

Compiler

Compiled 60 to 48 computations (20% saved)

end0.0ms (0%)

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

Profiling

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