Diagrams.Segment:$catParam from diagrams-lib-1.3.0.3, B

Time bar (total: 4.0s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
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 9 to 8 computations (11.1% saved)

sample615.0ms (15.5%)

Memory
24.5MiB live, 1 360.3MiB allocated
Samples
384.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 189.0ms
ival-mult: 174.0ms (92% of total)
ival-true: 6.0ms (3.2% of total)
exact: 5.0ms (2.6% of total)
ival-assert: 4.0ms (2.1% of total)
Bogosity

explain59.0ms (1.5%)

Memory
-1.4MiB live, 146.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 (*.f64 x #s(literal 3 binary64)) y)
00-0-y
00-0-#s(literal 3 binary64)
00-0-(*.f64 x #s(literal 3 binary64))
00-0-(*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) y)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
25.0ms512×0valid
Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 11.0ms (90.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess42.0ms (1.1%)

Memory
-28.0MiB live, 62.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01641
14935
215235
340935
470135
593935
695635
067
097
1167
2357
3817
41837
52917
63837
74217
04217
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) y)
Outputs
(*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) y)
(*.f64 (*.f64 (*.f64 y x) y) #s(literal 3 binary64))
Symmetry

(abs y)

(negabs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) y)
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify9.0ms (0.2%)

Memory
17.2MiB live, 17.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
0918
11618
23518
38118
418318
529118
638318
742118
042118
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) y)
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(*.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
y
Outputs
(*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) y)
(*.f64 (*.f64 (*.f64 y x) y) #s(literal 3 binary64))
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)
x
#s(literal 3 binary64)
y

localize23.0ms (0.6%)

Memory
-15.1MiB live, 36.1MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x #s(literal 3 binary64))
accuracy0.11328125
(*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) y)
accuracy0.19921875
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
Samples
18.0ms256×0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 4.0ms (82.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.2%)

Memory
18.7MiB live, 18.7MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) y)
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(*.f64 x #s(literal 3 binary64))
Outputs
(* 3 (* x (pow y 2)))
(* 3 (* x y))
(* 3 x)
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@0
((* (* (* x 3) y) y) (* (* x 3) y) (* x 3))
2.0ms
y
@0
((* (* (* x 3) y) y) (* (* x 3) y) (* x 3))
1.0ms
x
@inf
((* (* (* x 3) y) y) (* (* x 3) y) (* x 3))
1.0ms
x
@-inf
((* (* (* x 3) y) y) (* (* x 3) y) (* x 3))
1.0ms
y
@inf
((* (* (* x 3) y) y) (* (* x 3) y) (* x 3))

simplify14.0ms (0.3%)

Memory
-31.0MiB live, 14.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01015
12015
24115
38915
418815
530815
640015
743515
043515
Stop Event
iter limit
saturated
Counts
3 → 3
Calls
Call 1
Inputs
(* 3 (* x (pow y 2)))
(* 3 (* x y))
(* 3 x)
Outputs
(* 3 (* x (pow y 2)))
(*.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x)
(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)

rewrite301.0ms (7.6%)

Memory
18.2MiB live, 171.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
0915
11615
23715
39315
425115
557115
6241315
0900215
Stop Event
iter limit
node limit
iter limit
Counts
3 → 137
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) y)
(*.f64 (*.f64 x #s(literal 3 binary64)) y)
(*.f64 x #s(literal 3 binary64))
Outputs
(*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) #s(literal -3 binary64)) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x) (sqrt.f64 y)) (pow.f64 y #s(literal 3/2 binary64)))
(*.f64 (neg.f64 (*.f64 #s(literal -3 binary64) x)) (*.f64 y y))
(*.f64 (*.f64 (sqrt.f64 y) x) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal -3 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) #s(literal -3 binary64)) (sqrt.f64 y))
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 3 binary64)) x) (pow.f64 y #s(literal 3/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 y) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x))
(*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (*.f64 (sqrt.f64 y) #s(literal 3 binary64)))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 y) (*.f64 #s(literal -3 binary64) x)))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (*.f64 (sqrt.f64 y) #s(literal 3 binary64)) x))
(*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal -3 binary64)) (*.f64 (sqrt.f64 y) x))
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 y x) y))
(*.f64 (*.f64 #s(literal -3 binary64) x) (*.f64 y y))
(*.f64 (neg.f64 x) (*.f64 (*.f64 #s(literal -3 binary64) y) y))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) #s(literal -3 binary64))))
(*.f64 (sqrt.f64 y) (*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) #s(literal -3 binary64)))
(*.f64 (*.f64 y y) (neg.f64 (*.f64 #s(literal -3 binary64) x)))
(*.f64 (*.f64 y y) (*.f64 #s(literal -3 binary64) x))
(*.f64 (*.f64 y y) (*.f64 #s(literal 3 binary64) x))
(*.f64 (*.f64 (*.f64 y x) y) #s(literal -3 binary64))
(*.f64 (*.f64 (*.f64 y x) y) #s(literal 3 binary64))
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) y) y) (neg.f64 x))
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) y) y) x)
(*.f64 (*.f64 y x) (*.f64 #s(literal -3 binary64) y))
(*.f64 (*.f64 #s(literal -3 binary64) y) (*.f64 y x))
(*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) y)
(*.f64 y (*.f64 y (*.f64 #s(literal 3 binary64) x)))
(*.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 y y))
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 y x) y))
(*.f64 x (*.f64 (*.f64 #s(literal -3 binary64) y) y))
(/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 y y) (pow.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 y y (pow.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 3 binary64) x)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 y y) (pow.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 y y (pow.f64 y #s(literal -2 binary64)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) 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))) (*.f64 #s(literal 3 binary64) x)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) (-.f64 (*.f64 y y) (pow.f64 y #s(literal -2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 3 binary64) 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))) (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (*.f64 y y) (pow.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 3 binary64) x)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (fma.f64 y y (pow.f64 y #s(literal -2 binary64))) (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) (-.f64 (*.f64 y y) (pow.f64 y #s(literal -2 binary64)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) 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))) (*.f64 #s(literal 3 binary64) x)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 y y (pow.f64 y #s(literal -2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) (-.f64 (*.f64 y y) (pow.f64 y #s(literal -2 binary64)))))) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 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))) (*.f64 #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 #s(literal 1 binary64) (*.f64 #s(literal 3 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))) (*.f64 #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 (*.f64 #s(literal -3 binary64) x) #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal -3 binary64) 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 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) (pow.f64 y #s(literal -2 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) 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))) (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64))) (-.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) (*.f64 #s(literal 3 binary64) x)) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) x))))
(/.f64 (fma.f64 #s(literal 27 binary64) (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))) (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) (*.f64 #s(literal 3 binary64) x)) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) x))))))
(neg.f64 (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 y x) y)))
(fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) 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))) (*.f64 #s(literal 3 binary64) x)))
(fma.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) #s(literal 3 binary64)) x (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) (*.f64 #s(literal 3 binary64) x)))
(fma.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) #s(literal 3 binary64)) x (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) x)))
(fma.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) x) #s(literal 3 binary64) (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) (*.f64 #s(literal 3 binary64) x)))
(fma.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) x) #s(literal 3 binary64) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) x)))
(fma.f64 (neg.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y)))) (*.f64 #s(literal -3 binary64) x) (*.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) (*.f64 #s(literal -3 binary64) x)))
(fma.f64 (neg.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y)))) (*.f64 #s(literal 3 binary64) x) (*.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) (*.f64 #s(literal 3 binary64) x)))
(fma.f64 (*.f64 #s(literal -3 binary64) x) (neg.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y)))) (*.f64 (*.f64 #s(literal -3 binary64) x) (sinh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y)))))
(fma.f64 (*.f64 #s(literal -3 binary64) x) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -3 binary64) x) (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y)))))
(fma.f64 (*.f64 #s(literal -3 binary64) x) (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) (*.f64 (*.f64 #s(literal -3 binary64) x) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))))
(fma.f64 (cosh.f64 (log.f64 y)) (*.f64 y (*.f64 #s(literal 3 binary64) x)) (*.f64 (sinh.f64 (log.f64 y)) (*.f64 y (*.f64 #s(literal 3 binary64) x))))
(fma.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (*.f64 #s(literal -3 binary64) x) (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) (*.f64 #s(literal -3 binary64) x)))
(fma.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) x) (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) (*.f64 #s(literal 3 binary64) x)))
(fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) (*.f64 #s(literal -3 binary64) x) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (*.f64 #s(literal -3 binary64) x)))
(fma.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) (*.f64 #s(literal 3 binary64) x) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) x)))
(fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 (cosh.f64 (log.f64 y)) (sinh.f64 (log.f64 y))) (*.f64 #s(literal 3 binary64) x)) (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) (*.f64 #s(literal 3 binary64) x)))
(fma.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) (cosh.f64 (log.f64 y)) (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) (sinh.f64 (log.f64 y))))
(fma.f64 (*.f64 #s(literal 3 binary64) x) (neg.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y)))) (*.f64 (*.f64 #s(literal 3 binary64) x) (sinh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y)))))
(fma.f64 (*.f64 #s(literal 3 binary64) x) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) (*.f64 #s(literal 3 binary64) x)))
(fma.f64 (*.f64 #s(literal 3 binary64) x) (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) x)))
(fma.f64 #s(literal 3 binary64) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) x) (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) (*.f64 #s(literal 3 binary64) x)))
(fma.f64 #s(literal 3 binary64) (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) x) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) x)))
(fma.f64 x (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) (*.f64 #s(literal 3 binary64) x)))
(fma.f64 x (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) #s(literal 3 binary64)) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) x)))
(-.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) (*.f64 #s(literal 3 binary64) x)) (*.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) (*.f64 #s(literal 3 binary64) x)))
(-.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) (*.f64 #s(literal 3 binary64) x)) (*.f64 (*.f64 #s(literal -3 binary64) 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)))) (*.f64 #s(literal -3 binary64) x)) (*.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) (*.f64 #s(literal -3 binary64) x)))
(+.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (*.f64 #s(literal -3 binary64) x)) (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) (*.f64 #s(literal -3 binary64) x)))
(+.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) (*.f64 #s(literal -3 binary64) x)) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (*.f64 #s(literal -3 binary64) x)))
(+.f64 (*.f64 (cosh.f64 (log.f64 y)) (*.f64 y (*.f64 #s(literal 3 binary64) x))) (*.f64 (sinh.f64 (log.f64 y)) (*.f64 y (*.f64 #s(literal 3 binary64) x))))
(+.f64 (*.f64 (neg.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y)))) (*.f64 #s(literal 3 binary64) x)) (*.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) (*.f64 #s(literal 3 binary64) x)))
(+.f64 (*.f64 (*.f64 #s(literal -3 binary64) x) (neg.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))))) (*.f64 (*.f64 #s(literal -3 binary64) x) (sinh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y)))))
(+.f64 (*.f64 (*.f64 #s(literal -3 binary64) x) (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y)))) (*.f64 (*.f64 #s(literal -3 binary64) x) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) (cosh.f64 (log.f64 y))) (*.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)) (sinh.f64 (log.f64 y))))
(+.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) (neg.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))))) (*.f64 (*.f64 #s(literal 3 binary64) 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))) (*.f64 #s(literal 3 binary64) x))) (neg.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) x))))
(+.f64 (*.f64 (*.f64 #s(literal -3 binary64) x) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal -3 binary64) x) (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y)))))
(+.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) x)) (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) (*.f64 #s(literal 3 binary64) x)))
(+.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -2 binary64) (log.f64 y))) (*.f64 #s(literal 3 binary64) x)) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) x)))
(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 3 binary64)) x) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 y) x)) (sqrt.f64 y))
(*.f64 (*.f64 #s(literal -3 binary64) (neg.f64 x)) y)
(*.f64 (*.f64 (neg.f64 x) (*.f64 (sqrt.f64 y) #s(literal 3 binary64))) (sqrt.f64 y))
(*.f64 (*.f64 (neg.f64 x) #s(literal -3 binary64)) y)
(*.f64 (*.f64 (neg.f64 x) (sqrt.f64 y)) (*.f64 (sqrt.f64 y) #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 y)) (*.f64 (sqrt.f64 y) x))
(*.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 3 binary64)) x)) (sqrt.f64 y))
(*.f64 (neg.f64 (*.f64 #s(literal -3 binary64) x)) y)
(*.f64 (neg.f64 (neg.f64 x)) (*.f64 #s(literal -3 binary64) y))
(*.f64 (*.f64 (sqrt.f64 y) x) (*.f64 (sqrt.f64 y) #s(literal -3 binary64)))
(*.f64 (*.f64 (sqrt.f64 y) x) (*.f64 (sqrt.f64 y) #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 3 binary64)) x) (sqrt.f64 y))
(*.f64 (*.f64 (sqrt.f64 y) #s(literal 3 binary64)) (*.f64 (sqrt.f64 y) (neg.f64 x)))
(*.f64 (*.f64 (sqrt.f64 y) #s(literal 3 binary64)) (*.f64 (sqrt.f64 y) x))
(*.f64 #s(literal -3 binary64) (*.f64 y x))
(*.f64 (*.f64 #s(literal -3 binary64) x) y)
(*.f64 (neg.f64 x) (*.f64 #s(literal -3 binary64) y))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (*.f64 (sqrt.f64 y) #s(literal 3 binary64)) x)))
(*.f64 (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) x) #s(literal -3 binary64)))
(*.f64 (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) #s(literal 3 binary64)) (neg.f64 x)))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (*.f64 #s(literal -3 binary64) x)))
(*.f64 (sqrt.f64 y) (neg.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 3 binary64)) x)))
(*.f64 (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) #s(literal 3 binary64)) x))
(*.f64 (*.f64 y x) #s(literal -3 binary64))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal -3 binary64) y) (neg.f64 (neg.f64 x)))
(*.f64 (*.f64 #s(literal -3 binary64) y) (neg.f64 x))
(*.f64 (*.f64 #s(literal -3 binary64) y) x)
(*.f64 y (*.f64 #s(literal -3 binary64) (neg.f64 x)))
(*.f64 y (*.f64 (neg.f64 x) #s(literal -3 binary64)))
(*.f64 y (neg.f64 (*.f64 #s(literal -3 binary64) x)))
(*.f64 y (*.f64 #s(literal -3 binary64) x))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(*.f64 (*.f64 #s(literal 3 binary64) x) y)
(*.f64 #s(literal 3 binary64) (*.f64 y x))
(*.f64 x (*.f64 #s(literal -3 binary64) y))
(neg.f64 (*.f64 y (*.f64 #s(literal 3 binary64) x)))
(fma.f64 (*.f64 #s(literal -3 binary64) x) (cosh.f64 (log.f64 y)) (*.f64 (*.f64 #s(literal -3 binary64) x) (sinh.f64 (log.f64 y))))
(fma.f64 (cosh.f64 (log.f64 y)) (*.f64 #s(literal -3 binary64) x) (*.f64 (sinh.f64 (log.f64 y)) (*.f64 #s(literal -3 binary64) x)))
(fma.f64 (cosh.f64 (log.f64 y)) (*.f64 #s(literal 3 binary64) x) (*.f64 (sinh.f64 (log.f64 y)) (*.f64 #s(literal 3 binary64) x)))
(fma.f64 (*.f64 #s(literal 3 binary64) x) (cosh.f64 (log.f64 y)) (*.f64 (*.f64 #s(literal 3 binary64) x) (sinh.f64 (log.f64 y))))
(+.f64 (*.f64 (cosh.f64 (log.f64 y)) (*.f64 #s(literal -3 binary64) x)) (*.f64 (sinh.f64 (log.f64 y)) (*.f64 #s(literal -3 binary64) x)))
(+.f64 (*.f64 (cosh.f64 (log.f64 y)) (*.f64 #s(literal 3 binary64) x)) (*.f64 (sinh.f64 (log.f64 y)) (*.f64 #s(literal 3 binary64) x)))
(+.f64 (*.f64 (*.f64 #s(literal -3 binary64) x) (cosh.f64 (log.f64 y))) (*.f64 (*.f64 #s(literal -3 binary64) x) (sinh.f64 (log.f64 y))))
(+.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) (cosh.f64 (log.f64 y))) (*.f64 (*.f64 #s(literal 3 binary64) x) (sinh.f64 (log.f64 y))))
(*.f64 #s(literal 3 binary64) x)
(*.f64 x #s(literal 3 binary64))

eval72.0ms (1.8%)

Memory
-21.9MiB live, 22.5MiB allocated
Compiler

Compiled 2 071 to 331 computations (84% saved)

prune8.0ms (0.2%)

Memory
10.0MiB live, 10.0MiB allocated
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1355140
Fresh000
Picked011
Done000
Total1356141
Accuracy
100.0%
Counts
141 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.2%
(*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (*.f64 (sqrt.f64 y) #s(literal 3 binary64)))
99.7%
(*.f64 (*.f64 (*.f64 y x) y) #s(literal 3 binary64))
99.7%
(*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) y)
99.7%
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) y) (neg.f64 x)) y)
90.1%
(*.f64 (*.f64 y y) (*.f64 #s(literal 3 binary64) x))
90.1%
#s(approx (* (* (* x 3) y) y) (*.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x))
Compiler

Compiled 101 to 84 computations (16.8% saved)

simplify21.0ms (0.5%)

Memory
2.6MiB live, 2.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (sqrt.f64 y) #s(literal 3 binary64))
cost-diff0
(pow.f64 y #s(literal 3/2 binary64))
cost-diff0
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) x)
cost-diff0
(*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (*.f64 (sqrt.f64 y) #s(literal 3 binary64)))
cost-diff0
(*.f64 y x)
cost-diff0
(*.f64 (*.f64 y x) y)
cost-diff0
(*.f64 (*.f64 (*.f64 y x) y) #s(literal 3 binary64))
cost-diff0
(*.f64 #s(literal 3 binary64) x)
cost-diff0
(*.f64 y y)
cost-diff0
(*.f64 (*.f64 y y) (*.f64 #s(literal 3 binary64) x))
cost-diff0
(*.f64 y y)
cost-diff0
(*.f64 (*.f64 y y) #s(literal 3 binary64))
cost-diff0
(*.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x)
cost-diff0
#s(approx (* (* (* x 3) y) y) (*.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x))
cost-diff0
(neg.f64 x)
cost-diff0
(*.f64 #s(literal -3 binary64) y)
cost-diff0
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) y) (neg.f64 x)) y)
cost-diff1
(*.f64 (*.f64 #s(literal -3 binary64) y) (neg.f64 x))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026117
043120
181120
2173115
3332115
4510115
5625115
6726115
7843115
8954115
0954115
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) y) (neg.f64 x)) y)
(*.f64 (*.f64 #s(literal -3 binary64) y) (neg.f64 x))
(*.f64 #s(literal -3 binary64) y)
#s(literal -3 binary64)
y
(neg.f64 x)
x
#s(approx (* (* (* x 3) y) y) (*.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x))
(*.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x)
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(*.f64 y y)
y
#s(literal 3 binary64)
x
(*.f64 (*.f64 y y) (*.f64 #s(literal 3 binary64) x))
(*.f64 y y)
y
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
(*.f64 (*.f64 (*.f64 y x) y) #s(literal 3 binary64))
(*.f64 (*.f64 y x) y)
(*.f64 y x)
y
x
#s(literal 3 binary64)
(*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (*.f64 (sqrt.f64 y) #s(literal 3 binary64)))
(*.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
(*.f64 (sqrt.f64 y) #s(literal 3 binary64))
(sqrt.f64 y)
#s(literal 3 binary64)
Outputs
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) y) (neg.f64 x)) y)
(*.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x)
(*.f64 (*.f64 #s(literal -3 binary64) y) (neg.f64 x))
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(*.f64 #s(literal -3 binary64) y)
(*.f64 y #s(literal -3 binary64))
#s(literal -3 binary64)
y
(neg.f64 x)
x
#s(approx (* (* (* x 3) y) y) (*.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x))
(*.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x)
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(*.f64 y y)
y
#s(literal 3 binary64)
x
(*.f64 (*.f64 y y) (*.f64 #s(literal 3 binary64) x))
(*.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x)
(*.f64 y y)
y
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
(*.f64 (*.f64 (*.f64 y x) y) #s(literal 3 binary64))
(*.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x)
(*.f64 (*.f64 y x) y)
(*.f64 (*.f64 x y) y)
(*.f64 y x)
(*.f64 x y)
y
x
#s(literal 3 binary64)
(*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (*.f64 (sqrt.f64 y) #s(literal 3 binary64)))
(*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 3 binary64)) (*.f64 (sqrt.f64 y) x))
(*.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
(*.f64 (sqrt.f64 y) #s(literal 3 binary64))
(sqrt.f64 y)
#s(literal 3 binary64)

localize80.0ms (2%)

Memory
-13.4MiB live, 32.3MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(sqrt.f64 y)
accuracy0.1953125
(*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (*.f64 (sqrt.f64 y) #s(literal 3 binary64)))
accuracy0.296875
(*.f64 (sqrt.f64 y) #s(literal 3 binary64))
accuracy6.946731850653556
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) x)
accuracy0.0
(*.f64 y x)
accuracy0.109375
(*.f64 (*.f64 y x) y)
accuracy0.1640625
(*.f64 (*.f64 (*.f64 y x) y) #s(literal 3 binary64))
accuracy0.0
(*.f64 y y)
accuracy0.0
(*.f64 #s(literal 3 binary64) x)
accuracy6.321125052798221
(*.f64 (*.f64 y y) (*.f64 #s(literal 3 binary64) x))
accuracy0.0
(*.f64 y y)
accuracy0.0
#s(approx (* (* (* x 3) y) y) (*.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x))
accuracy0.140625
(*.f64 (*.f64 y y) #s(literal 3 binary64))
accuracy6.301593802798221
(*.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x)
accuracy0.0
(*.f64 #s(literal -3 binary64) y)
accuracy0.0
(neg.f64 x)
accuracy0.11328125
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) y) (neg.f64 x)) y)
accuracy0.1875
(*.f64 (*.f64 #s(literal -3 binary64) y) (neg.f64 x))
Samples
47.0ms256×0valid
Compiler

Compiled 111 to 27 computations (75.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-mult: 23.0ms (71.5% of total)
ival-pow: 6.0ms (18.7% of total)
ival-sqrt: 2.0ms (6.2% of total)
ival-neg: 1.0ms (3.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series18.0ms (0.5%)

Memory
20.9MiB live, 20.9MiB allocated
Counts
18 → 18
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal -3 binary64) y) (neg.f64 x))
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) y) (neg.f64 x)) y)
(*.f64 #s(literal -3 binary64) y)
(neg.f64 x)
#s(approx (* (* (* x 3) y) y) (*.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x))
(*.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x)
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(*.f64 y y)
(*.f64 (*.f64 y y) (*.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal 3 binary64) x)
(*.f64 (*.f64 (*.f64 y x) y) #s(literal 3 binary64))
(*.f64 (*.f64 y x) y)
(*.f64 y x)
(*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (*.f64 (sqrt.f64 y) #s(literal 3 binary64)))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) x)
(pow.f64 y #s(literal 3/2 binary64))
(*.f64 (sqrt.f64 y) #s(literal 3 binary64))
(sqrt.f64 y)
Outputs
(* 3 (* x y))
(* 3 (* x (pow y 2)))
(* -1 x)
(* 3 x)
(* x (pow y 2))
(* x y)
(* x (sqrt (pow y 3)))
(* -3 y)
(* 3 (pow y 2))
(pow y 2)
(sqrt (pow y 3))
(* 3 (sqrt y))
(sqrt y)
(* 3 (* 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))
(* -3 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
Calls

6 calls:

TimeVariablePointExpression
5.0ms
y
@-inf
((* (* -3 y) (neg x)) (* (* (* -3 y) (neg x)) y) (* -3 y) (neg x) (* (* (* x 3) y) y) (* (* (* y y) 3) x) (* (* y y) 3) (* y y) (* (* y y) (* 3 x)) (* 3 x) (* (* (* y x) y) 3) (* (* y x) y) (* y x) (* (* (pow y 3/2) x) (* (sqrt y) 3)) (* (pow y 3/2) x) (pow y 3/2) (* (sqrt y) 3) (sqrt y))
4.0ms
y
@0
((* (* -3 y) (neg x)) (* (* (* -3 y) (neg x)) y) (* -3 y) (neg x) (* (* (* x 3) y) y) (* (* (* y y) 3) x) (* (* y y) 3) (* y y) (* (* y y) (* 3 x)) (* 3 x) (* (* (* y x) y) 3) (* (* y x) y) (* y x) (* (* (pow y 3/2) x) (* (sqrt y) 3)) (* (pow y 3/2) x) (pow y 3/2) (* (sqrt y) 3) (sqrt y))
3.0ms
y
@inf
((* (* -3 y) (neg x)) (* (* (* -3 y) (neg x)) y) (* -3 y) (neg x) (* (* (* x 3) y) y) (* (* (* y y) 3) x) (* (* y y) 3) (* y y) (* (* y y) (* 3 x)) (* 3 x) (* (* (* y x) y) 3) (* (* y x) y) (* y x) (* (* (pow y 3/2) x) (* (sqrt y) 3)) (* (pow y 3/2) x) (pow y 3/2) (* (sqrt y) 3) (sqrt y))
2.0ms
x
@-inf
((* (* -3 y) (neg x)) (* (* (* -3 y) (neg x)) y) (* -3 y) (neg x) (* (* (* x 3) y) y) (* (* (* y y) 3) x) (* (* y y) 3) (* y y) (* (* y y) (* 3 x)) (* 3 x) (* (* (* y x) y) 3) (* (* y x) y) (* y x) (* (* (pow y 3/2) x) (* (sqrt y) 3)) (* (pow y 3/2) x) (pow y 3/2) (* (sqrt y) 3) (sqrt y))
2.0ms
x
@0
((* (* -3 y) (neg x)) (* (* (* -3 y) (neg x)) y) (* -3 y) (neg x) (* (* (* x 3) y) y) (* (* (* y y) 3) x) (* (* y y) 3) (* y y) (* (* y y) (* 3 x)) (* 3 x) (* (* (* y x) y) 3) (* (* y x) y) (* y x) (* (* (pow y 3/2) x) (* (sqrt y) 3)) (* (pow y 3/2) x) (pow y 3/2) (* (sqrt y) 3) (sqrt y))

simplify94.0ms (2.4%)

Memory
1.9MiB live, 45.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03185
16778
215577
344777
4136777
5235577
6266777
7278477
8280877
9281277
10281277
11281277
12281277
13281277
14328377
0328377
Stop Event
iter limit
saturated
Counts
18 → 18
Calls
Call 1
Inputs
(* 3 (* x y))
(* 3 (* x (pow y 2)))
(* -1 x)
(* 3 x)
(* x (pow y 2))
(* x y)
(* x (sqrt (pow y 3)))
(* -3 y)
(* 3 (pow y 2))
(pow y 2)
(sqrt (pow y 3))
(* 3 (sqrt y))
(sqrt y)
(* 3 (* 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))
(* -3 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
Outputs
(* 3 (* x y))
(*.f64 (*.f64 x y) #s(literal 3 binary64))
(* 3 (* x (pow y 2)))
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) y) x) y)
(* -1 x)
(neg.f64 x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (pow y 2))
(*.f64 (*.f64 x y) y)
(* x y)
(*.f64 x y)
(* x (sqrt (pow y 3)))
(*.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) x)
(* -3 y)
(*.f64 #s(literal -3 binary64) y)
(* 3 (pow y 2))
(*.f64 (*.f64 y y) #s(literal -3 binary64))
(pow y 2)
(*.f64 y y)
(sqrt (pow y 3))
(sqrt.f64 (pow.f64 y #s(literal 3 binary64)))
(* 3 (sqrt y))
(*.f64 (sqrt.f64 y) #s(literal 3 binary64))
(sqrt y)
(sqrt.f64 y)
(* 3 (* x (* (pow y 2) (pow (sqrt -1) 2))))
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) y) 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))))
(* -3 (* (sqrt y) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 y) #s(literal 3 binary64))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(sqrt.f64 y)

rewrite202.0ms (5.1%)

Memory
16.0MiB live, 118.6MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02698
04399
19299
222693
366593
4340693
0843093
Stop Event
iter limit
node limit
iter limit
Counts
18 → 1 235
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal -3 binary64) y) (neg.f64 x))
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) y) (neg.f64 x)) y)
(*.f64 #s(literal -3 binary64) y)
(neg.f64 x)
#s(approx (* (* (* x 3) y) y) (*.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x))
(*.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x)
(*.f64 (*.f64 y y) #s(literal 3 binary64))
(*.f64 y y)
(*.f64 (*.f64 y y) (*.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal 3 binary64) x)
(*.f64 (*.f64 (*.f64 y x) y) #s(literal 3 binary64))
(*.f64 (*.f64 y x) y)
(*.f64 y x)
(*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (*.f64 (sqrt.f64 y) #s(literal 3 binary64)))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) x)
(pow.f64 y #s(literal 3/2 binary64))
(*.f64 (sqrt.f64 y) #s(literal 3 binary64))
(sqrt.f64 y)
Outputs
(*.f64 (*.f64 #s(literal 3 binary64) (neg.f64 x)) y)
(*.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (neg.f64 (neg.f64 x)) (*.f64 #s(literal 3 binary64) y))
(*.f64 (neg.f64 (*.f64 #s(literal 3 binary64) x)) y)
(*.f64 (*.f64 x #s(literal -3 binary64)) y)
(*.f64 (*.f64 #s(literal 3 binary64) y) (neg.f64 (neg.f64 x)))
(*.f64 (*.f64 #s(literal 3 binary64) y) (neg.f64 x))
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 3 binary64)) x) (sqrt.f64 y))
(*.f64 (*.f64 x y) #s(literal 3 binary64))
(*.f64 (*.f64 x y) #s(literal -3 binary64))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (*.f64 x #s(literal -3 binary64))))
(*.f64 (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 y) #s(literal 3 binary64)) x))
(*.f64 (*.f64 #s(literal 3 binary64) x) y)
(*.f64 #s(literal 3 binary64) (*.f64 x y))
(*.f64 (neg.f64 x) (*.f64 #s(literal 3 binary64) y))
(*.f64 x (*.f64 #s(literal 3 binary64) y))
(*.f64 y (*.f64 (neg.f64 x) #s(literal 3 binary64)))
(*.f64 y (neg.f64 (*.f64 #s(literal 3 binary64) x)))
(*.f64 y (*.f64 x #s(literal -3 binary64)))
(*.f64 y (*.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal -3 binary64) (*.f64 x y))
(neg.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) y))
(fma.f64 (cosh.f64 (log.f64 y)) (*.f64 x #s(literal -3 binary64)) (*.f64 (sinh.f64 (log.f64 y)) (*.f64 x #s(literal -3 binary64))))
(fma.f64 (cosh.f64 (log.f64 y)) (*.f64 #s(literal 3 binary64) x) (*.f64 (sinh.f64 (log.f64 y)) (*.f64 #s(literal 3 binary64) x)))
(fma.f64 (*.f64 x #s(literal -3 binary64)) (cosh.f64 (log.f64 y)) (*.f64 (*.f64 x #s(literal -3 binary64)) (sinh.f64 (log.f64 y))))
(fma.f64 (*.f64 #s(literal 3 binary64) x) (cosh.f64 (log.f64 y)) (*.f64 (*.f64 #s(literal 3 binary64) x) (sinh.f64 (log.f64 y))))
(+.f64 (*.f64 (cosh.f64 (log.f64 y)) (*.f64 x #s(literal -3 binary64))) (*.f64 (sinh.f64 (log.f64 y)) (*.f64 x #s(literal -3 binary64))))
(+.f64 (*.f64 (cosh.f64 (log.f64 y)) (*.f64 #s(literal 3 binary64) x)) (*.f64 (sinh.f64 (log.f64 y)) (*.f64 #s(literal 3 binary64) x)))
(+.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) (cosh.f64 (log.f64 y))) (*.f64 (*.f64 x #s(literal -3 binary64)) (sinh.f64 (log.f64 y))))
(+.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) (cosh.f64 (log.f64 y))) (*.f64 (*.f64 #s(literal 3 binary64) x) (sinh.f64 (log.f64 y))))
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 y #s(literal 5/4 binary64)) x)) (pow.f64 y #s(literal 3/4 binary64)))
(*.f64 (*.f64 #s(literal -3 binary64) (pow.f64 y #s(literal 5/4 binary64))) (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x))
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 y #s(literal 7/4 binary64)) x)) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x)) (pow.f64 y #s(literal 5/4 binary64)))
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 y) x)) (pow.f64 y #s(literal 3/2 binary64)))
(*.f64 (*.f64 #s(literal -3 binary64) (pow.f64 y #s(literal 1/4 binary64))) (*.f64 (pow.f64 y #s(literal 7/4 binary64)) x))
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x)) (sqrt.f64 y))
(*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 7/4 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 1/8 binary64))) (pow.f64 y #s(literal 1/8 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 5/4 binary64)) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3/8 binary64)) x)) (pow.f64 y #s(literal 3/8 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 5/4 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3/8 binary64))) (*.f64 (pow.f64 y #s(literal 3/8 binary64)) x))
(*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) #s(literal 3 binary64)) (neg.f64 (pow.f64 y #s(literal 1/4 binary64)))) (neg.f64 (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 3 binary64)) x) (pow.f64 y #s(literal 9/8 binary64))) (pow.f64 y #s(literal 3/8 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 9/8 binary64)) x)) (pow.f64 y #s(literal 3/8 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) y) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 #s(literal -3 binary64) (pow.f64 y #s(literal 3/4 binary64))) (*.f64 (pow.f64 y #s(literal 5/4 binary64)) x))
(*.f64 (*.f64 #s(literal -3 binary64) (pow.f64 y #s(literal 3/2 binary64))) (*.f64 (sqrt.f64 y) x))
(*.f64 (*.f64 #s(literal -3 binary64) (sqrt.f64 y)) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x))
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3/8 binary64))) (*.f64 (pow.f64 y #s(literal 9/8 binary64)) x))
(*.f64 (neg.f64 (*.f64 #s(literal 3 binary64) x)) (*.f64 y y))
(*.f64 (*.f64 (pow.f64 y #s(literal 7/8 binary64)) (*.f64 #s(literal 3 binary64) x)) (pow.f64 y #s(literal 9/8 binary64)))
(*.f64 (*.f64 (pow.f64 y #s(literal 9/8 binary64)) (*.f64 (*.f64 (sqrt.f64 y) #s(literal 3 binary64)) x)) (pow.f64 y #s(literal 3/8 binary64)))
(*.f64 (pow.f64 y #s(literal 5/4 binary64)) (*.f64 (*.f64 (pow.f64 y #s(literal 3/4 binary64)) #s(literal 3 binary64)) x))
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) x)) (pow.f64 y #s(literal 7/4 binary64)))
(*.f64 (*.f64 (pow.f64 y #s(literal 3/8 binary64)) x) (*.f64 (pow.f64 y #s(literal 3/8 binary64)) (*.f64 (pow.f64 y #s(literal 5/4 binary64)) #s(literal 3 binary64))))
(*.f64 (pow.f64 y #s(literal 9/8 binary64)) (*.f64 (pow.f64 y #s(literal 7/8 binary64)) (*.f64 #s(literal 3 binary64) x)))
(*.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 7/4 binary64)) x))
(*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3/4 binary64)) #s(literal 3 binary64)) x) (pow.f64 y #s(literal 5/4 binary64)))
(*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 3 binary64)) (*.f64 (sqrt.f64 y) x))
(*.f64 (*.f64 (pow.f64 y #s(literal 3/4 binary64)) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 5/4 binary64)) x))
(*.f64 (*.f64 (pow.f64 y #s(literal 5/4 binary64)) x) (*.f64 (pow.f64 y #s(literal 3/4 binary64)) #s(literal 3 binary64)))
(*.f64 (*.f64 (pow.f64 y #s(literal 7/4 binary64)) x) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 3 binary64)))
(*.f64 (*.f64 (pow.f64 y #s(literal 9/8 binary64)) x) (*.f64 (pow.f64 y #s(literal 3/8 binary64)) (*.f64 (sqrt.f64 y) #s(literal 3 binary64))))
(*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 7/4 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (*.f64 (pow.f64 y #s(literal 5/4 binary64)) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x))
(*.f64 (pow.f64 y #s(literal 7/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 x #s(literal -3 binary64))))
(*.f64 (pow.f64 y #s(literal 7/4 binary64)) (*.f64 #s(literal 3 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)) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 3 binary64))))
(*.f64 (pow.f64 y #s(literal 3/16 binary64)) (*.f64 (pow.f64 y #s(literal 3/16 binary64)) (*.f64 (pow.f64 y #s(literal 9/8 binary64)) (*.f64 (*.f64 (sqrt.f64 y) #s(literal 3 binary64)) x))))
(*.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 7/4 binary64)) x) #s(literal 3 binary64))))
(*.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) (*.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) (*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) #s(literal 3 binary64))))
(*.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 y y))
(*.f64 (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x) (*.f64 (pow.f64 y #s(literal 5/4 binary64)) #s(literal 3 binary64)))
(*.f64 (*.f64 (pow.f64 y #s(literal 5/4 binary64)) (*.f64 #s(literal 3 binary64) x)) (pow.f64 y #s(literal 3/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 y) x) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) #s(literal 3 binary64)) (sqrt.f64 y))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (*.f64 (pow.f64 y #s(literal 7/4 binary64)) x) #s(literal 3 binary64)))
(*.f64 (pow.f64 y #s(literal 3/8 binary64)) (*.f64 (*.f64 (pow.f64 y #s(literal 3/8 binary64)) x) (*.f64 (pow.f64 y #s(literal 5/4 binary64)) #s(literal 3 binary64))))
(*.f64 (pow.f64 y #s(literal 3/8 binary64)) (*.f64 (pow.f64 y #s(literal 9/8 binary64)) (*.f64 (*.f64 (sqrt.f64 y) #s(literal 3 binary64)) x)))
(*.f64 (*.f64 #s(literal 3 binary64) y) (*.f64 x y))
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 3 binary64)) x) (pow.f64 y #s(literal 3/2 binary64)))
(*.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) y))
(*.f64 (pow.f64 y #s(literal 3/4 binary64)) (*.f64 (pow.f64 y #s(literal 5/4 binary64)) (*.f64 x #s(literal -3 binary64))))
(*.f64 (pow.f64 y #s(literal 3/4 binary64)) (*.f64 (pow.f64 y #s(literal 5/4 binary64)) (*.f64 #s(literal 3 binary64) x)))
(*.f64 (*.f64 (sqrt.f64 y) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x))
(*.f64 (sqrt.f64 y) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 x #s(literal -3 binary64))))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) (*.f64 (*.f64 x #s(literal -3 binary64)) y)))
(*.f64 (sqrt.f64 y) (*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) #s(literal 3 binary64)))
(*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (*.f64 (sqrt.f64 y) #s(literal 3 binary64)))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 y) (*.f64 x #s(literal -3 binary64))))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (*.f64 (sqrt.f64 y) #s(literal 3 binary64)) x))
(*.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64))
(*.f64 (*.f64 (*.f64 y y) x) #s(literal -3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 y y))
(*.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) (neg.f64 x))
(*.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x)
(*.f64 (*.f64 y y) (neg.f64 (*.f64 #s(literal 3 binary64) x)))
(*.f64 (*.f64 y y) (*.f64 x #s(literal -3 binary64)))
(*.f64 (*.f64 y y) (*.f64 #s(literal 3 binary64) x))
(*.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) y) y)
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 y y) x))
(*.f64 (neg.f64 x) (*.f64 (*.f64 y y) #s(literal 3 binary64)))
(*.f64 x (*.f64 (*.f64 y y) #s(literal 3 binary64)))
(*.f64 y (*.f64 (*.f64 x #s(literal -3 binary64)) y))
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 y y) x))
(/.f64 (fma.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal -3/2 binary64))) (*.f64 (*.f64 (sqrt.f64 y) #s(literal 3 binary64)) x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 (sqrt.f64 y) y (pow.f64 y #s(literal -3/2 binary64))) (*.f64 (*.f64 (sqrt.f64 y) #s(literal 3 binary64)) x)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal -3/2 binary64))) (*.f64 (*.f64 (sqrt.f64 y) #s(literal 3 binary64)) x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 3 binary64)) x) (fma.f64 (sqrt.f64 y) y (pow.f64 y #s(literal -3/2 binary64)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 3 binary64)) x) (-.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal -3/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 (sqrt.f64 y) y (pow.f64 y #s(literal -3/2 binary64))) (*.f64 (*.f64 (sqrt.f64 y) #s(literal 3 binary64)) x)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 3 binary64)) x) (-.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal -3/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 3 binary64)) x) (fma.f64 (sqrt.f64 y) y (pow.f64 y #s(literal -3/2 binary64)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (fma.f64 (sqrt.f64 y) y (pow.f64 y #s(literal -3/2 binary64))) (*.f64 (*.f64 (sqrt.f64 y) #s(literal 3 binary64)) x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal -3/2 binary64))) (*.f64 (*.f64 (sqrt.f64 y) #s(literal 3 binary64)) x)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (fma.f64 (sqrt.f64 y) y (pow.f64 y #s(literal -3/2 binary64))) (*.f64 (*.f64 (sqrt.f64 y) #s(literal 3 binary64)) x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 3 binary64)) x) (-.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal -3/2 binary64)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 3 binary64)) x) (fma.f64 (sqrt.f64 y) y (pow.f64 y #s(literal -3/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (-.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal -3/2 binary64))) (*.f64 (*.f64 (sqrt.f64 y) #s(literal 3 binary64)) x)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 3 binary64)) x) (fma.f64 (sqrt.f64 y) y (pow.f64 y #s(literal -3/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 3 binary64)) x) (-.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal -3/2 binary64)))))) #s(literal 4 binary64))
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(fabs.f64 (-.f64 (/.f64 (pow.f64 (sinh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) #s(literal 2 binary64)) (pow.f64 y #s(literal -3/2 binary64))) (/.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) #s(literal 2 binary64)) (pow.f64 y #s(literal -3/2 binary64)))))
(fabs.f64 (pow.f64 y #s(literal 3/2 binary64)))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 y) (log.f64 y)))
(exp.f64 (+.f64 (log.f64 y) (log.f64 (sqrt.f64 y))))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 2 binary64)) #s(literal 3/8 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal 4 binary64))) #s(literal 3/8 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) (log.f64 y)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64)))
(+.f64 (*.f64 (cosh.f64 (*.f64 #s(literal 3/4 binary64) (log.f64 y))) (pow.f64 y #s(literal 3/4 binary64))) (*.f64 (sinh.f64 (*.f64 #s(literal 3/4 binary64) (log.f64 y))) (pow.f64 y #s(literal 3/4 binary64))))
(+.f64 (*.f64 (pow.f64 y #s(literal 3/4 binary64)) (cosh.f64 (*.f64 #s(literal 3/4 binary64) (log.f64 y)))) (*.f64 (pow.f64 y #s(literal 3/4 binary64)) (sinh.f64 (*.f64 #s(literal 3/4 binary64) (log.f64 y)))))
(+.f64 (/.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) #s(literal 3 binary64)) (-.f64 (cosh.f64 (fma.f64 (log.f64 y) #s(literal 3/2 binary64) (*.f64 (log.f64 y) #s(literal 3/2 binary64)))) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y)))))) (/.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) #s(literal 3 binary64)) (-.f64 (cosh.f64 (fma.f64 (log.f64 y) #s(literal 3/2 binary64) (*.f64 (log.f64 y) #s(literal 3/2 binary64)))) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y)))))))
(+.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))) (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))))
(+.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 y))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 3/2 binary64))))
(*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 1/8 binary64))) (pow.f64 y #s(literal 1/8 binary64)))
(*.f64 (*.f64 #s(literal 3 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 1/4 binary64)) #s(literal 3 binary64)) (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 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 3 binary64))))
(*.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) (*.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 y) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (sqrt.f64 y))
(fma.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) #s(literal 3 binary64) (*.f64 (sinh.f64 (log.f64 (sqrt.f64 y))) #s(literal 3 binary64)))
(fma.f64 #s(literal 3 binary64) (cosh.f64 (log.f64 (sqrt.f64 y))) (*.f64 #s(literal 3 binary64) (sinh.f64 (log.f64 (sqrt.f64 y)))))
(+.f64 (*.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) #s(literal 3 binary64)) (*.f64 (sinh.f64 (log.f64 (sqrt.f64 y))) #s(literal 3 binary64)))
(+.f64 (*.f64 #s(literal 3 binary64) (cosh.f64 (log.f64 (sqrt.f64 y)))) (*.f64 #s(literal 3 binary64) (sinh.f64 (log.f64 (sqrt.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 y #s(literal 7/16 binary64))) (fabs.f64 (pow.f64 y #s(literal 1/16 binary64))))
(*.f64 (sqrt.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))) (sqrt.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (neg.f64 (pow.f64 y #s(literal 1/4 binary64))))) (sqrt.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (neg.f64 (pow.f64 y #s(literal 1/4 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 (neg.f64 (pow.f64 y #s(literal 1/4 binary64)))) (pow.f64 y #s(literal 3/8 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 y))) (sqrt.f64 (neg.f64 (sqrt.f64 y))))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 y))) (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 y #s(literal 7/16 binary64)) (pow.f64 y #s(literal 1/16 binary64)))
(*.f64 (pow.f64 y #s(literal 3/16 binary64)) (fabs.f64 (pow.f64 y #s(literal 5/16 binary64))))
(*.f64 (pow.f64 y #s(literal 3/16 binary64)) (sqrt.f64 (pow.f64 y #s(literal 5/8 binary64))))
(*.f64 (pow.f64 y #s(literal 3/16 binary64)) (pow.f64 y #s(literal 5/16 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 (sqrt.f64 y))))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 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)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 y))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (log.f64 (sqrt.f64 y)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 y)))
(pow.f64 (neg.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1/16 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 y)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 y))
(pow.f64 (pow.f64 y #s(literal 1/8 binary64)) #s(literal 4 binary64))
(pow.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (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 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (sqrt.f64 y)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (sqrt.f64 y)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (log.f64 (sqrt.f64 y)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (log.f64 (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 (log.f64 (sqrt.f64 y))) #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 (log.f64 (sqrt.f64 y))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) (sinh.f64 (log.f64 (sqrt.f64 y))))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 y)) #s(literal 3 binary64)) (pow.f64 (sinh.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 (log.f64 y)) #s(literal 2 binary64)) (*.f64 (cosh.f64 (log.f64 y)) (sinh.f64 (log.f64 y)))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (sqrt.f64 y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (log.f64 (sqrt.f64 y))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) (sinh.f64 (log.f64 (sqrt.f64 y)))))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(neg.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64))))
(neg.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (neg.f64 (pow.f64 y #s(literal 1/4 binary64)))))
(sqrt.f64 y)
(fabs.f64 (*.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64))))
(fabs.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (neg.f64 (pow.f64 y #s(literal 1/4 binary64)))))
(fabs.f64 (neg.f64 (sqrt.f64 y)))
(fabs.f64 (sqrt.f64 y))
(exp.f64 (fma.f64 #s(literal 3/8 binary64) (log.f64 y) (*.f64 (log.f64 y) #s(literal 1/8 binary64))))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 2 binary64)) #s(literal 1/8 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 (log.f64 (pow.f64 y #s(literal 4 binary64))) #s(literal 1/8 binary64)))
(exp.f64 (log.f64 (sqrt.f64 y)))
(+.f64 (sinh.f64 (log.f64 (sqrt.f64 y))) (cosh.f64 (log.f64 (sqrt.f64 y))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) (sinh.f64 (log.f64 (sqrt.f64 y))))

eval219.0ms (5.5%)

Memory
-32.7MiB live, 150.5MiB allocated
Compiler

Compiled 14 818 to 2 386 computations (83.9% saved)

prune79.0ms (2%)

Memory
7.2MiB live, 54.8MiB allocated
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New7664770
Fresh000
Picked235
Done011
Total7688776
Accuracy
100.0%
Counts
776 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.2%
(*.f64 (pow.f64 y #s(literal 7/4 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) x)))
99.5%
(*.f64 (*.f64 (*.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) #s(literal 3 binary64))
99.7%
(*.f64 (*.f64 (*.f64 y x) y) #s(literal 3 binary64))
99.7%
(*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) y)
99.7%
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) y)
90.1%
(*.f64 (*.f64 y y) (*.f64 #s(literal 3 binary64) x))
99.7%
(*.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) y))
90.1%
#s(approx (* (* (* x 3) y) y) (*.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x))
Compiler

Compiled 72 to 59 computations (18.1% saved)

simplify34.0ms (0.9%)

Memory
9.6MiB live, 9.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) x)
cost-diff0
(*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) x))
cost-diff0
(pow.f64 y #s(literal 7/4 binary64))
cost-diff0
(*.f64 (pow.f64 y #s(literal 7/4 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) x)))
cost-diff0
(*.f64 x y)
cost-diff0
(*.f64 (*.f64 x y) (sqrt.f64 y))
cost-diff0
(*.f64 (*.f64 (*.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) #s(literal 3 binary64))
cost-diff4
(*.f64 (*.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
cost-diff0
(*.f64 #s(literal 3 binary64) y)
cost-diff0
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
cost-diff0
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) y)
cost-diff0
(*.f64 #s(literal 3 binary64) y)
cost-diff0
(*.f64 x y)
cost-diff0
(*.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) y))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019102
03398
16094
212394
329194
463594
599894
6107194
7111394
8114994
9124794
10134994
11142494
12142494
0142494
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) y))
(*.f64 x y)
x
y
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) y)
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
y
x
(*.f64 (*.f64 (*.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) #s(literal 3 binary64))
(*.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)
#s(literal 3 binary64)
(*.f64 (pow.f64 y #s(literal 7/4 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) x)))
(pow.f64 y #s(literal 7/4 binary64))
y
#s(literal 7/4 binary64)
(*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) x))
#s(literal 3 binary64)
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) x)
(pow.f64 y #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
x
Outputs
(*.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) y))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) y) x)
(*.f64 x y)
(*.f64 y x)
x
y
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) y)
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) y) x)
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
y
x
(*.f64 (*.f64 (*.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) #s(literal 3 binary64))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) y) x)
(*.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)
#s(literal 3 binary64)
(*.f64 (pow.f64 y #s(literal 7/4 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) x)))
(*.f64 (*.f64 (pow.f64 y #s(literal 7/4 binary64)) x) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 3 binary64)))
(pow.f64 y #s(literal 7/4 binary64))
y
#s(literal 7/4 binary64)
(*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) x))
(*.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) x) #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) x)
(pow.f64 y #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
x

localize178.0ms (4.5%)

Memory
-15.5MiB live, 29.8MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(pow.f64 y #s(literal 1/4 binary64))
accuracy0.24609375
(*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) x))
accuracy0.25
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) x)
accuracy4.913904138108565
(*.f64 (pow.f64 y #s(literal 7/4 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) x)))
accuracy0.0
(sqrt.f64 y)
accuracy0.14453125
(*.f64 (*.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
accuracy0.1640625
(*.f64 (*.f64 (*.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) #s(literal 3 binary64))
accuracy0.19140625
(*.f64 (*.f64 x y) (sqrt.f64 y))
accuracy0.0
(*.f64 #s(literal 3 binary64) y)
accuracy0.11328125
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) y)
accuracy0.1875
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
accuracy0.0
(*.f64 x y)
accuracy0.0
(*.f64 #s(literal 3 binary64) y)
accuracy0.18197250976844204
(*.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) y))
Samples
40.0ms256×0valid
Compiler

Compiled 104 to 21 computations (79.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 15.0ms (54.4% of total)
ival-pow: 10.0ms (36.2% of total)
ival-sqrt: 2.0ms (7.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series267.0ms (6.7%)

Memory
25.6MiB live, 127.5MiB allocated
Counts
14 → 20
Calls
Call 1
Inputs
(*.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) y))
(*.f64 x y)
(*.f64 #s(literal 3 binary64) y)
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) y)
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(*.f64 (*.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 (*.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) #s(literal 3 binary64))
(*.f64 (*.f64 x y) (sqrt.f64 y))
(*.f64 (pow.f64 y #s(literal 7/4 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) x)))
(pow.f64 y #s(literal 7/4 binary64))
(*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) x))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) x)
(sqrt.f64 y)
(pow.f64 y #s(literal 1/4 binary64))
Outputs
(* 3 (* x (pow y 2)))
(* x y)
(* 3 (* x y))
(* x (pow y 2))
(* x (sqrt (pow y 3)))
(* 3 (* (pow (* 1 y) 1/4) x))
(* (pow (* 1 y) 1/4) x)
(* 3 y)
(pow (* 1 (pow y 7)) 1/4)
(sqrt y)
(pow (* 1 y) 1/4)
(* -1 (* x (* (pow y 2) (pow (sqrt -1) 2))))
(* -3 (* x (* (pow y 2) (pow (sqrt -1) 2))))
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (pow y 3))))
(* 3 (* x (* (pow y 2) (sqrt -1))))
(exp (* 1/4 (+ (log -1) (* -7 (log (/ -1 y))))))
(* 3 (* x (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y))))))))
(* x (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y)))))))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y))))))
Calls

6 calls:

TimeVariablePointExpression
81.0ms
y
@inf
((* (* x y) (* 3 y)) (* x y) (* 3 y) (* (* (* 3 y) x) y) (* (* 3 y) x) (* (* (* x y) (sqrt y)) (sqrt y)) (* (* (* (* x y) (sqrt y)) (sqrt y)) 3) (* (* x y) (sqrt y)) (* (pow y 7/4) (* 3 (* (pow y 1/4) x))) (pow y 7/4) (* 3 (* (pow y 1/4) x)) (* (pow y 1/4) x) (sqrt y) (pow y 1/4))
71.0ms
x
@inf
((* (* x y) (* 3 y)) (* x y) (* 3 y) (* (* (* 3 y) x) y) (* (* 3 y) x) (* (* (* x y) (sqrt y)) (sqrt y)) (* (* (* (* x y) (sqrt y)) (sqrt y)) 3) (* (* x y) (sqrt y)) (* (pow y 7/4) (* 3 (* (pow y 1/4) x))) (pow y 7/4) (* 3 (* (pow y 1/4) x)) (* (pow y 1/4) x) (sqrt y) (pow y 1/4))
42.0ms
x
@0
((* (* x y) (* 3 y)) (* x y) (* 3 y) (* (* (* 3 y) x) y) (* (* 3 y) x) (* (* (* x y) (sqrt y)) (sqrt y)) (* (* (* (* x y) (sqrt y)) (sqrt y)) 3) (* (* x y) (sqrt y)) (* (pow y 7/4) (* 3 (* (pow y 1/4) x))) (pow y 7/4) (* 3 (* (pow y 1/4) x)) (* (pow y 1/4) x) (sqrt y) (pow y 1/4))
42.0ms
y
@-inf
((* (* x y) (* 3 y)) (* x y) (* 3 y) (* (* (* 3 y) x) y) (* (* 3 y) x) (* (* (* x y) (sqrt y)) (sqrt y)) (* (* (* (* x y) (sqrt y)) (sqrt y)) 3) (* (* x y) (sqrt y)) (* (pow y 7/4) (* 3 (* (pow y 1/4) x))) (pow y 7/4) (* 3 (* (pow y 1/4) x)) (* (pow y 1/4) x) (sqrt y) (pow y 1/4))
21.0ms
y
@0
((* (* x y) (* 3 y)) (* x y) (* 3 y) (* (* (* 3 y) x) y) (* (* 3 y) x) (* (* (* x y) (sqrt y)) (sqrt y)) (* (* (* (* x y) (sqrt y)) (sqrt y)) 3) (* (* x y) (sqrt y)) (* (pow y 7/4) (* 3 (* (pow y 1/4) x))) (pow y 7/4) (* 3 (* (pow y 1/4) x)) (* (pow y 1/4) x) (sqrt y) (pow y 1/4))

simplify151.0ms (3.8%)

Memory
-24.5MiB live, 65.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
054132
1141129
2433123
31282117
42684116
08355116
Stop Event
iter limit
node limit
Counts
20 → 20
Calls
Call 1
Inputs
(* 3 (* x (pow y 2)))
(* x y)
(* 3 (* x y))
(* x (pow y 2))
(* x (sqrt (pow y 3)))
(* 3 (* (pow (* 1 y) 1/4) x))
(* (pow (* 1 y) 1/4) x)
(* 3 y)
(pow (* 1 (pow y 7)) 1/4)
(sqrt y)
(pow (* 1 y) 1/4)
(* -1 (* x (* (pow y 2) (pow (sqrt -1) 2))))
(* -3 (* x (* (pow y 2) (pow (sqrt -1) 2))))
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (pow y 3))))
(* 3 (* x (* (pow y 2) (sqrt -1))))
(exp (* 1/4 (+ (log -1) (* -7 (log (/ -1 y))))))
(* 3 (* x (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y))))))))
(* x (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y)))))))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y))))))
Outputs
(* 3 (* x (pow y 2)))
(*.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64))
(* x y)
(*.f64 y x)
(* 3 (* x y))
(*.f64 (*.f64 y x) #s(literal 3 binary64))
(* 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)
(* 3 (* (pow (* 1 y) 1/4) x))
(*.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) x) #s(literal 3 binary64))
(* (pow (* 1 y) 1/4) x)
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) x)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(pow (* 1 (pow y 7)) 1/4)
(pow.f64 (pow.f64 y #s(literal 7 binary64)) #s(literal 1/4 binary64))
(sqrt y)
(sqrt.f64 y)
(pow (* 1 y) 1/4)
(pow.f64 y #s(literal 1/4 binary64))
(* -1 (* x (* (pow y 2) (pow (sqrt -1) 2))))
(*.f64 (*.f64 y y) x)
(* -3 (* x (* (pow y 2) (pow (sqrt -1) 2))))
(*.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64))
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (pow y 3))))
(*.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) x)
(* 3 (* x (* (pow y 2) (sqrt -1))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) y) (*.f64 y x))
(exp (* 1/4 (+ (log -1) (* -7 (log (/ -1 y))))))
(pow.f64 (neg.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -7 binary64))) #s(literal 1/4 binary64))
(* 3 (* x (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y))))))))
(*.f64 (*.f64 #s(literal 3 binary64) x) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1/4 binary64)))
(* x (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y)))))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1/4 binary64)) x)
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(sqrt.f64 y)
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 y))))))
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1/4 binary64))

rewrite248.0ms (6.3%)

Memory
18.2MiB live, 127.9MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01982
03374
17670
220269
391169
4665969
0807169
Stop Event
iter limit
node limit
iter limit
Counts
14 → 1 154
Calls
Call 1
Inputs
(*.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) y))
(*.f64 x y)
(*.f64 #s(literal 3 binary64) y)
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) y)
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(*.f64 (*.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 (*.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) #s(literal 3 binary64))
(*.f64 (*.f64 x y) (sqrt.f64 y))
(*.f64 (pow.f64 y #s(literal 7/4 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) x)))
(pow.f64 y #s(literal 7/4 binary64))
(*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) x))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) x)
(sqrt.f64 y)
(pow.f64 y #s(literal 1/4 binary64))
Outputs
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 3 binary64)) x) (pow.f64 y #s(literal 3/2 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) #s(literal 3 binary64)) y) (*.f64 (sqrt.f64 y) x))
(*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 7/4 binary64)) x) (pow.f64 y #s(literal 1/8 binary64))) (*.f64 (pow.f64 y #s(literal 1/8 binary64)) #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 9/8 binary64)) (*.f64 #s(literal 3 binary64) x)) (pow.f64 y #s(literal 7/16 binary64))) (pow.f64 y #s(literal 7/16 binary64)))
(*.f64 (neg.f64 (*.f64 (pow.f64 y #s(literal 9/8 binary64)) (*.f64 #s(literal 3 binary64) x))) (neg.f64 (pow.f64 y #s(literal 7/8 binary64))))
(*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 3 binary64)) x) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) x) (*.f64 (sqrt.f64 y) #s(literal 3 binary64))) y)
(*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 3 binary64)) (*.f64 (sqrt.f64 y) x))
(*.f64 (*.f64 (*.f64 (sqrt.f64 y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3/2 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 7/4 binary64)) #s(literal 3 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 (*.f64 (pow.f64 y #s(literal 7/4 binary64)) #s(literal 3 binary64)) x) (pow.f64 y #s(literal 1/8 binary64))) (pow.f64 y #s(literal 1/8 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 1/8 binary64)) x) (*.f64 (pow.f64 y #s(literal 7/4 binary64)) #s(literal 3 binary64))) (pow.f64 y #s(literal 1/8 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 7/4 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 1/8 binary64))) (*.f64 (pow.f64 y #s(literal 1/8 binary64)) x))
(*.f64 (*.f64 (pow.f64 y #s(literal 7/8 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) x)) (*.f64 (pow.f64 y #s(literal 7/8 binary64)) #s(literal 3 binary64)))
(*.f64 (*.f64 (pow.f64 y #s(literal 7/4 binary64)) x) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 3 binary64)))
(*.f64 (*.f64 (pow.f64 y #s(literal 9/8 binary64)) (*.f64 #s(literal 3 binary64) x)) (pow.f64 y #s(literal 7/8 binary64)))
(*.f64 (*.f64 (pow.f64 y #s(literal 7/8 binary64)) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 7/8 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) x)))
(*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 3 binary64)) x) (sqrt.f64 y))
(*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 7/4 binary64)) #s(literal 3 binary64)) x) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (*.f64 (pow.f64 y #s(literal 1/8 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 y #s(literal 7/4 binary64)) x) (pow.f64 y #s(literal 1/8 binary64))))
(*.f64 (*.f64 (sqrt.f64 y) x) (*.f64 (*.f64 (sqrt.f64 y) #s(literal 3 binary64)) y))
(*.f64 (*.f64 (sqrt.f64 y) x) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 3 binary64)))
(*.f64 (*.f64 (pow.f64 y #s(literal 1/8 binary64)) x) (*.f64 (*.f64 (pow.f64 y #s(literal 7/4 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 1/8 binary64))))
(*.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 y y))
(*.f64 (pow.f64 y #s(literal 7/16 binary64)) (*.f64 (*.f64 (pow.f64 y #s(literal 9/8 binary64)) (*.f64 #s(literal 3 binary64) x)) (pow.f64 y #s(literal 7/16 binary64))))
(*.f64 (neg.f64 (pow.f64 y #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 7/4 binary64)) #s(literal 3 binary64)) x) (neg.f64 (pow.f64 y #s(literal 1/8 binary64)))))
(*.f64 (neg.f64 (pow.f64 y #s(literal 7/8 binary64))) (neg.f64 (*.f64 (pow.f64 y #s(literal 9/8 binary64)) (*.f64 #s(literal 3 binary64) x))))
(*.f64 (*.f64 y y) (*.f64 #s(literal 3 binary64) x))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (*.f64 (sqrt.f64 y) #s(literal 3 binary64)) x))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (*.f64 (sqrt.f64 y) x) #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) y) x)
(*.f64 (*.f64 (sqrt.f64 y) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x))
(*.f64 (*.f64 (pow.f64 y #s(literal 7/4 binary64)) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) x))
(*.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 7/4 binary64)) x))
(*.f64 (pow.f64 y #s(literal 1/8 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 7/4 binary64)) #s(literal 3 binary64)) x) (pow.f64 y #s(literal 1/8 binary64))))
(*.f64 (pow.f64 y #s(literal 1/8 binary64)) (*.f64 (*.f64 (pow.f64 y #s(literal 1/8 binary64)) x) (*.f64 (pow.f64 y #s(literal 7/4 binary64)) #s(literal 3 binary64))))
(*.f64 (pow.f64 y #s(literal 7/8 binary64)) (*.f64 (pow.f64 y #s(literal 9/8 binary64)) (*.f64 #s(literal 3 binary64) x)))
(*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 7/4 binary64)))
(*.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) x) (*.f64 (pow.f64 y #s(literal 7/4 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 3 binary64)) x) (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (*.f64 (pow.f64 y #s(literal 7/4 binary64)) #s(literal 3 binary64)) x))
(*.f64 (pow.f64 y #s(literal 7/4 binary64)) (*.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) x) #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 y x) y) #s(literal 3 binary64))
(*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (*.f64 (sqrt.f64 y) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 y) (*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 3 binary64)) x))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) y)
(*.f64 (*.f64 #s(literal 3 binary64) y) (*.f64 y x))
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 y x) y))
(*.f64 (*.f64 y x) (*.f64 #s(literal 3 binary64) y))
(*.f64 y (*.f64 (*.f64 (sqrt.f64 y) x) (*.f64 (sqrt.f64 y) #s(literal 3 binary64))))
(*.f64 y (*.f64 (*.f64 #s(literal 3 binary64) y) x))
(*.f64 x (*.f64 (*.f64 #s(literal 3 binary64) y) y))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 7/4 binary64)) #s(literal 3 binary64)) x)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 1/4 binary64))))
(/.f64 (*.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 (*.f64 (pow.f64 y #s(literal 7/4 binary64)) #s(literal 3 binary64)) x)) (-.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) (*.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 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7/4 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 7/4 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 #s(literal -7/4 binary64) (log.f64 y))) #s(literal 3 binary64))) (*.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) x) #s(literal 3 binary64))) (-.f64 (cosh.f64 (fma.f64 (log.f64 y) #s(literal 7/4 binary64) (*.f64 (log.f64 y) #s(literal 7/4 binary64)))) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 7/4 binary64))) (cosh.f64 (*.f64 #s(literal -7/4 binary64) (log.f64 y))))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 3 binary64)) x) (pow.f64 y #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 1/4 binary64))))
(/.f64 (*.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 (*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 3 binary64)) x) (pow.f64 y #s(literal 1/4 binary64)))) (-.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) (*.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 (*.f64 (*.f64 (pow.f64 y #s(literal 7/4 binary64)) #s(literal 3 binary64)) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 1/4 binary64))))
(/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 7/4 binary64)) #s(literal 3 binary64)) x) (+.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 (cosh.f64 (log.f64 (sqrt.f64 y))) (*.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 (*.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7/4 binary64))))
(/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 7/4 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 #s(literal -7/4 binary64) (log.f64 y))) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (fma.f64 (log.f64 y) #s(literal 7/4 binary64) (*.f64 (log.f64 y) #s(literal 7/4 binary64)))) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 7/4 binary64))) (cosh.f64 (*.f64 #s(literal -7/4 binary64) (log.f64 y))))))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 3 binary64)) x) (pow.f64 y #s(literal 1/4 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 1/4 binary64))))
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(/.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 (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 (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)))) (neg.f64 (-.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (pow.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 (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)))) (fabs.f64 (-.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) (*.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 (+.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 (cosh.f64 (log.f64 (sqrt.f64 y))) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y))))))
(/.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))))
(fma.f64 (cosh.f64 (*.f64 #s(literal 1/8 binary64) (log.f64 y))) (pow.f64 y #s(literal 1/8 binary64)) (*.f64 (sinh.f64 (*.f64 #s(literal 1/8 binary64) (log.f64 y))) (pow.f64 y #s(literal 1/8 binary64))))
(fma.f64 (pow.f64 y #s(literal 1/8 binary64)) (cosh.f64 (*.f64 #s(literal 1/8 binary64) (log.f64 y))) (*.f64 (pow.f64 y #s(literal 1/8 binary64)) (sinh.f64 (*.f64 #s(literal 1/8 binary64) (log.f64 y)))))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (log.f64 (neg.f64 (pow.f64 y #s(literal 1/8 binary64))))) (cosh.f64 (log.f64 (neg.f64 (pow.f64 y #s(literal 1/8 binary64)))))) (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y))))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (*.f64 #s(literal 1/8 binary64) (log.f64 y))) (cosh.f64 (*.f64 #s(literal 1/8 binary64) (log.f64 y)))) (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y))))
(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)))))
(-.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y))) (sinh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y))))
(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 (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 (log.f64 (sqrt.f64 y)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64)))
(+.f64 (cosh.f64 (/.f64 (log.f64 (sqrt.f64 y)) #s(literal 2 binary64))) (sinh.f64 (/.f64 (log.f64 (sqrt.f64 y)) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/4 binary64))) (log.f64 y))) (sinh.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/4 binary64))) (log.f64 y))))
(+.f64 (cosh.f64 (*.f64 (log.f64 (neg.f64 (pow.f64 y #s(literal 1/8 binary64)))) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (neg.f64 (pow.f64 y #s(literal 1/8 binary64)))) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (sqrt.f64 y)) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (cosh.f64 (*.f64 #s(literal 1/8 binary64) (log.f64 y))) (pow.f64 y #s(literal 1/8 binary64))) (*.f64 (sinh.f64 (*.f64 #s(literal 1/8 binary64) (log.f64 y))) (pow.f64 y #s(literal 1/8 binary64))))
(+.f64 (*.f64 (pow.f64 y #s(literal 1/8 binary64)) (cosh.f64 (*.f64 #s(literal 1/8 binary64) (log.f64 y)))) (*.f64 (pow.f64 y #s(literal 1/8 binary64)) (sinh.f64 (*.f64 #s(literal 1/8 binary64) (log.f64 y)))))
(+.f64 (/.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y))) #s(literal 3 binary64)) (-.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y)))))) (/.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) #s(literal 3 binary64)) (-.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) (*.f64 (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64))) (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 y)))))))
(+.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))))

eval168.0ms (4.2%)

Memory
-21.3MiB live, 161.8MiB allocated
Compiler

Compiled 18 843 to 2 595 computations (86.2% saved)

prune49.0ms (1.2%)

Memory
-2.0MiB live, 45.0MiB allocated
Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New8331834
Fresh000
Picked134
Done044
Total8348842
Accuracy
100.0%
Counts
842 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.2%
(*.f64 (pow.f64 y #s(literal 7/4 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 (sqrt.f64 y)) x)))
99.5%
(*.f64 (*.f64 (*.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) #s(literal 3 binary64))
99.7%
(*.f64 (*.f64 (*.f64 y x) y) #s(literal 3 binary64))
99.7%
(*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) y)
99.7%
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) y)
90.1%
(*.f64 (*.f64 y y) (*.f64 #s(literal 3 binary64) x))
99.7%
(*.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) y))
90.1%
#s(approx (* (* (* x 3) y) y) (*.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x))
Compiler

Compiled 72 to 59 computations (18.1% saved)

simplify6.0ms (0.1%)

Memory
4.3MiB live, 4.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (sqrt.f64 (sqrt.f64 y)) x)
cost-diff0
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 (sqrt.f64 y)) x))
cost-diff0
(pow.f64 y #s(literal 7/4 binary64))
cost-diff0
(*.f64 (pow.f64 y #s(literal 7/4 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 (sqrt.f64 y)) x)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01035
01635
12335
24535
38135
49035
09035
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (pow.f64 y #s(literal 7/4 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 (sqrt.f64 y)) x)))
(pow.f64 y #s(literal 7/4 binary64))
y
#s(literal 7/4 binary64)
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 (sqrt.f64 y)) x))
#s(literal 3 binary64)
(*.f64 (sqrt.f64 (sqrt.f64 y)) x)
(sqrt.f64 (sqrt.f64 y))
(sqrt.f64 y)
x
Outputs
(*.f64 (pow.f64 y #s(literal 7/4 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 (sqrt.f64 y)) x)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 y #s(literal 7/4 binary64))) x) (sqrt.f64 (sqrt.f64 y)))
(pow.f64 y #s(literal 7/4 binary64))
y
#s(literal 7/4 binary64)
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 (sqrt.f64 y)) x))
(*.f64 (*.f64 x #s(literal 3 binary64)) (sqrt.f64 (sqrt.f64 y)))
#s(literal 3 binary64)
(*.f64 (sqrt.f64 (sqrt.f64 y)) x)
(*.f64 x (sqrt.f64 (sqrt.f64 y)))
(sqrt.f64 (sqrt.f64 y))
(sqrt.f64 y)
x

localize29.0ms (0.7%)

Memory
28.4MiB live, 28.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.11328125
(sqrt.f64 (sqrt.f64 y))
accuracy0.24609375
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 (sqrt.f64 y)) x))
accuracy0.25
(*.f64 (sqrt.f64 (sqrt.f64 y)) x)
accuracy4.913904138108565
(*.f64 (pow.f64 y #s(literal 7/4 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 (sqrt.f64 y)) x)))
Samples
22.0ms256×0valid
Compiler

Compiled 37 to 12 computations (67.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-pow: 6.0ms (42.7% of total)
ival-mult: 4.0ms (28.5% of total)
ival-sqrt: 3.0ms (21.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series179.0ms (4.5%)

Memory
-24.9MiB live, 168.2MiB allocated
Counts
5 → 10
Calls
Call 1
Inputs
(*.f64 (pow.f64 y #s(literal 7/4 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 (sqrt.f64 y)) x)))
(pow.f64 y #s(literal 7/4 binary64))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 (sqrt.f64 y)) x))
(*.f64 (sqrt.f64 (sqrt.f64 y)) x)
(sqrt.f64 (sqrt.f64 y))
Outputs
(* 3 (* x (pow y 2)))
(* 3 (* (pow (* 1 y) 1/4) x))
(* (pow (* 1 y) 1/4) x)
(pow (* 1 (pow y 7)) 1/4)
(pow (* 1 y) 1/4)
(* 3 (* (pow -1 1/4) (* (* x (pow y 2)) (sqrt (sqrt -1)))))
(exp (* 1/4 (+ (log -1) (* -7 (log (/ -1 y))))))
(* 3 (* (pow (* -1 y) 1/4) (* x (sqrt (sqrt -1)))))
(* (pow (* -1 y) 1/4) (* x (sqrt (sqrt -1))))
(* (pow (* -1 y) 1/4) (sqrt (sqrt -1)))
Calls

6 calls:

TimeVariablePointExpression
51.0ms
y
@0
((* (pow y 7/4) (* 3 (* (sqrt (sqrt y)) x))) (pow y 7/4) (* 3 (* (sqrt (sqrt y)) x)) (* (sqrt (sqrt y)) x) (sqrt (sqrt y)))
47.0ms
y
@inf
((* (pow y 7/4) (* 3 (* (sqrt (sqrt y)) x))) (pow y 7/4) (* 3 (* (sqrt (sqrt y)) x)) (* (sqrt (sqrt y)) x) (sqrt (sqrt y)))
44.0ms
y
@-inf
((* (pow y 7/4) (* 3 (* (sqrt (sqrt y)) x))) (pow y 7/4) (* 3 (* (sqrt (sqrt y)) x)) (* (sqrt (sqrt y)) x) (sqrt (sqrt y)))
20.0ms
x
@0
((* (pow y 7/4) (* 3 (* (sqrt (sqrt y)) x))) (pow y 7/4) (* 3 (* (sqrt (sqrt y)) x)) (* (sqrt (sqrt y)) x) (sqrt (sqrt y)))
8.0ms
x
@-inf
((* (pow y 7/4) (* 3 (* (sqrt (sqrt y)) x))) (pow y 7/4) (* 3 (* (sqrt (sqrt y)) x)) (* (sqrt (sqrt y)) x) (sqrt (sqrt y)))

simplify184.0ms (4.6%)

Memory
3.7MiB live, 142.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
03884
19084
222281
366781
4135480
5521680
0817980
Stop Event
iter limit
node limit
Counts
10 → 10
Calls
Call 1
Inputs
(* 3 (* x (pow y 2)))
(* 3 (* (pow (* 1 y) 1/4) x))
(* (pow (* 1 y) 1/4) x)
(pow (* 1 (pow y 7)) 1/4)
(pow (* 1 y) 1/4)
(* 3 (* (pow -1 1/4) (* (* x (pow y 2)) (sqrt (sqrt -1)))))
(exp (* 1/4 (+ (log -1) (* -7 (log (/ -1 y))))))
(* 3 (* (pow (* -1 y) 1/4) (* x (sqrt (sqrt -1)))))
(* (pow (* -1 y) 1/4) (* x (sqrt (sqrt -1))))
(* (pow (* -1 y) 1/4) (sqrt (sqrt -1)))
Outputs
(* 3 (* x (pow y 2)))
(*.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64))
(* 3 (* (pow (* 1 y) 1/4) x))
(*.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) x) #s(literal 3 binary64))
(* (pow (* 1 y) 1/4) x)
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) x)
(pow (* 1 (pow y 7)) 1/4)
(pow.f64 (pow.f64 y #s(literal 7 binary64)) #s(literal 1/4 binary64))
(pow (* 1 y) 1/4)
(pow.f64 y #s(literal 1/4 binary64))
(* 3 (* (pow -1 1/4) (* (* x (pow y 2)) (sqrt (sqrt -1)))))
(*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/4 binary64)) x) #s(literal 3 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64)))) (*.f64 y y))
(exp (* 1/4 (+ (log -1) (* -7 (log (/ -1 y))))))
(pow.f64 (neg.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -7 binary64))) #s(literal 1/4 binary64))
(* 3 (* (pow (* -1 y) 1/4) (* x (sqrt (sqrt -1)))))
(*.f64 (*.f64 (*.f64 (pow.f64 (neg.f64 y) #s(literal 1/4 binary64)) x) #s(literal 3 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))
(* (pow (* -1 y) 1/4) (* x (sqrt (sqrt -1))))
(*.f64 (*.f64 (pow.f64 (neg.f64 y) #s(literal 1/4 binary64)) x) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))
(* (pow (* -1 y) 1/4) (sqrt (sqrt -1)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))))

rewrite187.0ms (4.7%)

Memory
15.3MiB live, 166.5MiB allocated
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01029
01629
13429
29729
339125
4281425
0909325
Stop Event
iter limit
node limit
iter limit
Counts
5 → 292
Calls
Call 1
Inputs
(*.f64 (pow.f64 y #s(literal 7/4 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 (sqrt.f64 y)) x)))
(pow.f64 y #s(literal 7/4 binary64))
(*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 (sqrt.f64 y)) x))
(*.f64 (sqrt.f64 (sqrt.f64 y)) x)
(sqrt.f64 (sqrt.f64 y))
Outputs
(*.f64 (*.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (pow.f64 y #s(literal 15/8 binary64)))) (pow.f64 y #s(literal 1/16 binary64))) (pow.f64 y #s(literal 1/16 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 25/16 binary64)) (*.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 7/32 binary64))) (pow.f64 y #s(literal 7/32 binary64)))
(*.f64 (*.f64 (*.f64 x (pow.f64 y #s(literal 7/4 binary64))) (*.f64 (pow.f64 y #s(literal 1/8 binary64)) #s(literal 3 binary64))) (pow.f64 y #s(literal 1/8 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 9/8 binary64)) x) (pow.f64 y #s(literal 7/16 binary64))) (*.f64 (pow.f64 y #s(literal 7/16 binary64)) #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 x (pow.f64 y #s(literal 7/4 binary64))) (pow.f64 y #s(literal 1/8 binary64))) (*.f64 (pow.f64 y #s(literal 1/8 binary64)) #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 x (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 7/16 binary64))) (*.f64 (pow.f64 y #s(literal 21/16 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 y #s(literal 15/8 binary64)) (*.f64 (*.f64 (pow.f64 y #s(literal 1/8 binary64)) x) #s(literal 3 binary64)))
(*.f64 (pow.f64 y #s(literal 21/16 binary64)) (*.f64 (pow.f64 y #s(literal 11/16 binary64)) (*.f64 x #s(literal 3 binary64))))
(*.f64 (*.f64 (pow.f64 y #s(literal 1/8 binary64)) x) (*.f64 #s(literal 3 binary64) (pow.f64 y #s(literal 15/8 binary64))))
(*.f64 (*.f64 (pow.f64 y #s(literal 1/8 binary64)) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 1/8 binary64)) (*.f64 x (pow.f64 y #s(literal 7/4 binary64)))))
(*.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (pow.f64 y #s(literal 15/8 binary64)))) (pow.f64 y #s(literal 1/8 binary64)))
(*.f64 (*.f64 (pow.f64 y #s(literal 25/16 binary64)) (*.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 7/16 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 1/8 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 15/8 binary64)))
(*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 y #s(literal 15/8 binary64))) (*.f64 (pow.f64 y #s(literal 1/8 binary64)) x))
(*.f64 (*.f64 (pow.f64 y #s(literal 11/16 binary64)) (*.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 21/16 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 7/8 binary64)) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 9/8 binary64)))
(*.f64 (*.f64 (pow.f64 y #s(literal 9/8 binary64)) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 7/8 binary64)) x))
(*.f64 (pow.f64 y #s(literal 9/8 binary64)) (*.f64 (*.f64 (pow.f64 y #s(literal 7/8 binary64)) x) #s(literal 3 binary64)))
(*.f64 (*.f64 (pow.f64 y #s(literal 9/8 binary64)) x) (*.f64 (pow.f64 y #s(literal 7/8 binary64)) #s(literal 3 binary64)))
(*.f64 (*.f64 (pow.f64 y #s(literal 7/8 binary64)) x) (*.f64 (pow.f64 y #s(literal 9/8 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 y #s(literal 7/32 binary64)) (*.f64 (pow.f64 y #s(literal 7/32 binary64)) (*.f64 (pow.f64 y #s(literal 25/16 binary64)) (*.f64 x #s(literal 3 binary64)))))
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(*.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64))
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eval40.0ms (1%)

Memory
-14.4MiB live, 77.8MiB allocated
Compiler

Compiled 6 306 to 1 029 computations (83.7% saved)

prune8.0ms (0.2%)

Memory
30.2MiB live, 30.2MiB allocated
Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New3020302
Fresh000
Picked011
Done077
Total3028310
Accuracy
100.0%
Counts
310 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.2%
(*.f64 (pow.f64 y #s(literal 7/4 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 (sqrt.f64 y)) x)))
99.5%
(*.f64 (*.f64 (*.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) #s(literal 3 binary64))
99.7%
(*.f64 (*.f64 (*.f64 y x) y) #s(literal 3 binary64))
99.7%
(*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) y)
99.7%
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) y)
90.1%
(*.f64 (*.f64 y y) (*.f64 #s(literal 3 binary64) x))
99.7%
(*.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) y))
90.1%
#s(approx (* (* (* x 3) y) y) (*.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x))
Compiler

Compiled 173 to 108 computations (37.6% saved)

regimes15.0ms (0.4%)

Memory
-7.2MiB live, 39.6MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (* (* (* x 3) y) y) (*.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x))
(*.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) y))
(*.f64 (*.f64 y y) (*.f64 #s(literal 3 binary64) x))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) y)
(*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) y)
(*.f64 (*.f64 (*.f64 y x) y) #s(literal 3 binary64))
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) y) (neg.f64 x)) y)
(*.f64 (*.f64 (*.f64 (*.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)) #s(literal 3 binary64))
(*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) x) (*.f64 (sqrt.f64 y) #s(literal 3 binary64)))
(*.f64 (pow.f64 y #s(literal 7/4 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 (sqrt.f64 y)) x)))
(*.f64 (pow.f64 y #s(literal 7/4 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) x)))
Outputs
(*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) y)
Calls

4 calls:

4.0ms
(*.f64 x #s(literal 3 binary64))
3.0ms
x
3.0ms
y
3.0ms
(*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) y)
Results
AccuracySegmentsBranch
99.7%1x
99.7%1y
99.7%1(*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) y)
99.7%1(*.f64 x #s(literal 3 binary64))
Compiler

Compiled 12 to 14 computations (-16.7% saved)

regimes12.0ms (0.3%)

Memory
-26.3MiB live, 24.0MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (* (* (* x 3) y) y) (*.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x))
(*.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) y))
(*.f64 (*.f64 y y) (*.f64 #s(literal 3 binary64) x))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) y) x) y)
Outputs
(*.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) y))
Calls

4 calls:

6.0ms
x
2.0ms
(*.f64 x #s(literal 3 binary64))
2.0ms
y
2.0ms
(*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) y)
Results
AccuracySegmentsBranch
99.7%1(*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) y)
99.7%1x
99.7%1y
99.7%1(*.f64 x #s(literal 3 binary64))
Compiler

Compiled 12 to 14 computations (-16.7% saved)

regimes5.0ms (0.1%)

Memory
16.2MiB live, 16.2MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (* (* (* x 3) y) y) (*.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x))
Outputs
#s(approx (* (* (* x 3) y) y) (*.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x))
Calls

4 calls:

1.0ms
(*.f64 x #s(literal 3 binary64))
1.0ms
x
1.0ms
y
1.0ms
(*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) y)
Results
AccuracySegmentsBranch
90.1%1x
90.1%1y
90.1%1(*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) y)
90.1%1(*.f64 x #s(literal 3 binary64))
Compiler

Compiled 12 to 14 computations (-16.7% saved)

simplify17.0ms (0.4%)

Memory
-7.7MiB live, 38.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01629
12329
24229
38829
418729
529729
639529
746429
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) y)
(*.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) y))
#s(approx (* (* (* x 3) y) y) (*.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x))
Outputs
(*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) y) y)
(*.f64 (*.f64 x y) (*.f64 #s(literal 3 binary64) y))
#s(approx (* (* (* x 3) y) y) (*.f64 (*.f64 (*.f64 y y) #s(literal 3 binary64)) x))

soundness272.0ms (6.9%)

Memory
3.0MiB live, 284.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
0915
11615
23715
39315
425115
557115
6241315
0900215
01015
12015
24115
38915
418815
530815
640015
743515
043515
02698
04399
19299
222693
366593
4340693
0843093
Stop Event
done
iter limit
node limit
iter limit
iter limit
saturated
iter limit
node limit
iter limit
Compiler

Compiled 59 to 41 computations (30.5% saved)

preprocess50.0ms (1.3%)

Memory
13.7MiB live, 114.4MiB allocated
Remove

(negabs x)

(abs y)

Compiler

Compiled 142 to 106 computations (25.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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