Data.Colour.CIE:cieLAB from colour-2.3.3, C

Time bar (total: 3.3s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB 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 7 to 7 computations (0% saved)

sample662.0ms (20.2%)

Memory
-7.8MiB live, 899.0MiB allocated
Samples
431.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 183.0ms
ival-div: 110.0ms (60% of total)
ival-add: 58.0ms (31.6% of total)
ival-true: 7.0ms (3.8% of total)
exact: 5.0ms (2.7% of total)
ival-assert: 3.0ms (1.6% of total)
Bogosity

explain57.0ms (1.7%)

Memory
19.5MiB live, 110.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-y
00-0-(+.f64 x (/.f64 y #s(literal 500 binary64)))
00-0-#s(literal 500 binary64)
00-0-(/.f64 y #s(literal 500 binary64))
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
22.0ms512×0valid
Compiler

Compiled 31 to 19 computations (38.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-add: 5.0ms (46.9% of total)
ival-div: 4.0ms (37.5% of total)
ival-true: 1.0ms (9.4% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess16.0ms (0.5%)

Memory
-5.2MiB live, 40.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01329
12227
23027
33627
44227
54527
055
075
185
085
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(+.f64 x (/.f64 y #s(literal 500 binary64)))
Outputs
(+.f64 x (/.f64 y #s(literal 500 binary64)))
(+.f64 (/.f64 y #s(literal 500 binary64)) x)
Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 x (/.f64 y #s(literal 500 binary64)))
Compiler

Compiled 5 to 5 computations (0% saved)

simplify3.0ms (0.1%)

Memory
4.2MiB live, 4.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 y #s(literal 500 binary64))
cost-diff0
(+.f64 x (/.f64 y #s(literal 500 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0511
0711
1811
0811
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 x (/.f64 y #s(literal 500 binary64)))
x
(/.f64 y #s(literal 500 binary64))
y
#s(literal 500 binary64)
Outputs
(+.f64 x (/.f64 y #s(literal 500 binary64)))
(+.f64 (/.f64 y #s(literal 500 binary64)) x)
x
(/.f64 y #s(literal 500 binary64))
y
#s(literal 500 binary64)

localize37.0ms (1.1%)

Memory
-51.4MiB live, 15.9MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 y #s(literal 500 binary64))
accuracy0.0078125
(+.f64 x (/.f64 y #s(literal 500 binary64)))
Samples
33.0ms256×0valid
Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (49.8% of total)
ival-add: 1.0ms (24.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
1.6MiB live, 1.6MiB allocated
Counts
2 → 7
Calls
Call 1
Inputs
(+.f64 x (/.f64 y #s(literal 500 binary64)))
(/.f64 y #s(literal 500 binary64))
Outputs
(* 1/500 y)
(+ x (* 1/500 y))
x
(* x (+ 1 (* 1/500 (/ y x))))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* y (+ 1/500 (/ x y)))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
((+ x (/ y 500)) (/ y 500))
1.0ms
y
@inf
((+ x (/ y 500)) (/ y 500))
0.0ms
y
@0
((+ x (/ y 500)) (/ y 500))
0.0ms
x
@inf
((+ x (/ y 500)) (/ y 500))
0.0ms
x
@0
((+ x (/ y 500)) (/ y 500))

simplify472.0ms (14.4%)

Memory
7.6MiB live, 143.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02329
16329
213729
334429
483229
5184629
6295929
7363229
8497929
9648529
10680229
11691429
12691429
13691429
14741229
15766129
16771729
17771729
18771729
19771729
20771729
01248924
Stop Event
iter limit
node limit
Counts
7 → 6
Calls
Call 1
Inputs
(* 1/500 y)
(+ x (* 1/500 y))
x
(* x (+ 1 (* 1/500 (/ y x))))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* y (+ 1/500 (/ x y)))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
Outputs
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
x
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* y (+ 1/500 (/ x y)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 #s(literal 1/500 binary64) y x)

rewrite174.0ms (5.3%)

Memory
12.1MiB live, 297.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
078
1258
21698
319508
088948
Stop Event
iter limit
node limit
iter limit
Counts
2 → 177
Calls
Call 1
Inputs
(+.f64 x (/.f64 y #s(literal 500 binary64)))
(/.f64 y #s(literal 500 binary64))
Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64))) #s(literal 2 binary64)))) (fma.f64 x x (*.f64 (/.f64 y #s(literal -500 binary64)) (-.f64 (/.f64 y #s(literal 500 binary64)) x))))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (/.f64 (pow.f64 (*.f64 y (-.f64 (/.f64 y #s(literal 500 binary64)) x)) #s(literal 3 binary64)) #s(literal 125000000 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64))) (-.f64 (*.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64))) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 y (/.f64 y #s(literal 250000 binary64)) (*.f64 (neg.f64 x) x)) (fma.f64 y (/.f64 y #s(literal 250000 binary64)) (*.f64 (neg.f64 x) x))) (+.f64 (/.f64 y #s(literal 500 binary64)) x))
(*.f64 (/.f64 (fma.f64 y (/.f64 y #s(literal 250000 binary64)) (*.f64 (neg.f64 x) x)) (-.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (/.f64 y #s(literal 500 binary64)) (+.f64 (/.f64 y #s(literal 500 binary64)) x) (*.f64 x x)))
(*.f64 (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x)) (/.f64 (+.f64 (/.f64 y #s(literal 500 binary64)) x) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x))))
(*.f64 (+.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (-.f64 (/.f64 y #s(literal 500 binary64)) x)))
(/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -250000 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 (/.f64 y #s(literal 500 binary64)) x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (*.f64 y y) (*.f64 #s(literal 250000 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x))) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 x (-.f64 (/.f64 y #s(literal 500 binary64)) x))) (/.f64 (*.f64 y y) (*.f64 #s(literal 250000 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x)))))))
(/.f64 (+.f64 (neg.f64 (*.f64 x x)) (neg.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 2 binary64)))) (-.f64 (/.f64 y #s(literal 500 binary64)) x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 (/.f64 y #s(literal 500 binary64)) x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 y y) (*.f64 #s(literal 250000 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x))) #s(literal 2 binary64)))) (+.f64 (/.f64 y #s(literal 500 binary64)) x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x))) #s(literal 2 binary64)))) (+.f64 (/.f64 y #s(literal 500 binary64)) x))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -250000 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 (/.f64 y #s(literal 500 binary64)) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 y y) (*.f64 #s(literal 250000 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x))) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 x (-.f64 (/.f64 y #s(literal 500 binary64)) x))) (/.f64 (*.f64 y y) (*.f64 #s(literal 250000 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 (/.f64 y #s(literal 500 binary64)) x)) (*.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 2 binary64))))) (neg.f64 (pow.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x)) (*.f64 (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x)) (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64))))) (neg.f64 (pow.f64 (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x)) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 y #s(literal 500 binary64)) x)) (*.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (*.f64 x x))) (pow.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 x x)) (*.f64 #s(literal -500 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x))) (*.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 (*.f64 y y) #s(literal -500 binary64)))) (*.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (*.f64 #s(literal -500 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x))))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 x x)) (*.f64 #s(literal 500 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x))) (*.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (*.f64 (/.f64 y #s(literal 500 binary64)) y))) (*.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (*.f64 #s(literal 500 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x))))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 x x)) (-.f64 (/.f64 y #s(literal 500 binary64)) x)) (*.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (neg.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 2 binary64))))) (pow.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 x x)) (*.f64 #s(literal -250000 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x))) (*.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (*.f64 (neg.f64 y) y))) (*.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (*.f64 #s(literal -250000 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x))))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 x x)) (*.f64 #s(literal 250000 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x))) (*.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (*.f64 y y))) (*.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (*.f64 #s(literal 250000 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x))))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 x x)) (-.f64 (/.f64 y #s(literal 500 binary64)) x)) (*.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 2 binary64)))) (pow.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal -500 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x))) (*.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 (*.f64 y y) #s(literal -500 binary64)))) (*.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (*.f64 #s(literal -500 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 500 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x))) (*.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (*.f64 (/.f64 y #s(literal 500 binary64)) y))) (*.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (*.f64 #s(literal 500 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 (/.f64 y #s(literal 500 binary64)) x)) (*.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (neg.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 2 binary64))))) (pow.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal -250000 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x))) (*.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (*.f64 (neg.f64 y) y))) (*.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (*.f64 #s(literal -250000 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 250000 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x))) (*.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (*.f64 y y))) (*.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (*.f64 #s(literal 250000 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x))))
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(+.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (*.f64 (-.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 y #s(literal -500 binary64)) #s(literal 6 binary64))) (pow.f64 (*.f64 (/.f64 y #s(literal 500 binary64)) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x)))) (/.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 9 binary64)) (*.f64 (-.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 y #s(literal -500 binary64)) #s(literal 6 binary64))) (pow.f64 (*.f64 (/.f64 y #s(literal 500 binary64)) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x)))))
(+.f64 (/.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x))) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x))) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x))) (/.f64 (*.f64 (/.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x))) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x))) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x))))
(+.f64 (/.f64 (*.f64 (/.f64 y #s(literal 500 binary64)) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x))) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x))) (/.f64 (*.f64 x (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x))) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x))))
(+.f64 (/.f64 (*.f64 x (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x))) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x))) (/.f64 (*.f64 (/.f64 y #s(literal 500 binary64)) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x))) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x))))
(+.f64 (/.f64 (*.f64 (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x)))) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x))) (/.f64 (*.f64 (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x)) (/.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x)))) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x))))
(+.f64 (/.f64 (*.f64 (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x)) (/.f64 y #s(literal 500 binary64))) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x))) (/.f64 (*.f64 (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x)) x) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x))))
(+.f64 (/.f64 (*.f64 (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x)) x) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x))) (/.f64 (*.f64 (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x)) (/.f64 y #s(literal 500 binary64))) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x))))
(+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 y #s(literal -500 binary64)) #s(literal 6 binary64))) (pow.f64 (*.f64 (/.f64 y #s(literal 500 binary64)) x) #s(literal 3 binary64)))) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x))) (/.f64 (/.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 9 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 y #s(literal -500 binary64)) #s(literal 6 binary64))) (pow.f64 (*.f64 (/.f64 y #s(literal 500 binary64)) x) #s(literal 3 binary64)))) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x))))
(+.f64 (/.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x))) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x)))) (/.f64 (*.f64 (/.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x))) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x)))))
(+.f64 (/.f64 (*.f64 (/.f64 y #s(literal 500 binary64)) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x)))) (/.f64 (*.f64 x (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x)))))
(+.f64 (/.f64 (*.f64 x (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x)))) (/.f64 (*.f64 (/.f64 y #s(literal 500 binary64)) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x)))))
(+.f64 (/.f64 (*.f64 (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x)))) (neg.f64 (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x)))) (/.f64 (*.f64 (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x)) (/.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x)))) (neg.f64 (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x)))))
(+.f64 (/.f64 (*.f64 (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x)) (/.f64 y #s(literal 500 binary64))) (neg.f64 (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x)))) (/.f64 (*.f64 (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x)) x) (neg.f64 (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x)))))
(+.f64 (/.f64 (*.f64 (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x)) x) (neg.f64 (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x)))) (/.f64 (*.f64 (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x)) (/.f64 y #s(literal 500 binary64))) (neg.f64 (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x)))))
(+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 y #s(literal -500 binary64)) #s(literal 6 binary64))) (pow.f64 (*.f64 (/.f64 y #s(literal 500 binary64)) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x)))) (/.f64 (/.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 9 binary64)) (-.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 y #s(literal -500 binary64)) #s(literal 6 binary64))) (pow.f64 (*.f64 (/.f64 y #s(literal 500 binary64)) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 x x (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 y #s(literal 500 binary64)) x))) (/.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 2 binary64))) (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 2 binary64))) (*.f64 (fma.f64 x x (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 y #s(literal 500 binary64)) x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (fma.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 2 binary64)) (fma.f64 x x (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 y #s(literal 500 binary64)) x))) (/.f64 (pow.f64 (/.f64 y #s(literal -500 binary64)) #s(literal 6 binary64)) (*.f64 (fma.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 2 binary64)) (fma.f64 x x (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 y #s(literal 500 binary64)) x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x)))) (/.f64 (pow.f64 (/.f64 y #s(literal -500 binary64)) #s(literal 6 binary64)) (*.f64 (-.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x)))))
(+.f64 (/.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x) (/.f64 y #s(literal 500 binary64)) (*.f64 x x))))
(+.f64 (/.f64 (*.f64 y y) (*.f64 #s(literal 250000 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x))) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) (-.f64 (/.f64 y #s(literal 500 binary64)) x)))
(+.f64 (/.f64 (*.f64 y y) (*.f64 #s(literal 250000 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x))) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (/.f64 y #s(literal 500 binary64)) x)))
(+.f64 (/.f64 (*.f64 y y) (*.f64 #s(literal 250000 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x))) (/.f64 (*.f64 x (neg.f64 x)) (-.f64 (/.f64 y #s(literal 500 binary64)) x)))
(+.f64 (/.f64 (*.f64 y y) (*.f64 #s(literal 250000 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x))) (*.f64 x (/.f64 x (-.f64 (/.f64 y #s(literal 500 binary64)) x))))
(+.f64 (*.f64 x (/.f64 x (-.f64 (/.f64 y #s(literal 500 binary64)) x))) (/.f64 (*.f64 y y) (*.f64 #s(literal 250000 binary64) (-.f64 (/.f64 y #s(literal 500 binary64)) x))))
(+.f64 (/.f64 y #s(literal 500 binary64)) x)
(+.f64 x (/.f64 y #s(literal 500 binary64)))
(*.f64 (sqrt.f64 (/.f64 y #s(literal -500 binary64))) (sqrt.f64 (/.f64 y #s(literal -500 binary64))))
(*.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (/.f64 (/.f64 y #s(literal -500 binary64)) #s(literal 500 binary64))))
(*.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (/.f64 y #s(literal -250000 binary64))))
(*.f64 (sqrt.f64 (/.f64 y #s(literal 500 binary64))) (sqrt.f64 (/.f64 y #s(literal 500 binary64))))
(*.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 (/.f64 y #s(literal -500 binary64)) #s(literal -500 binary64))))
(*.f64 (sqrt.f64 y) (sqrt.f64 (/.f64 y #s(literal 250000 binary64))))
(pow.f64 (/.f64 y #s(literal -500 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 (fabs.f64 y)) #s(literal -500 binary64))
(/.f64 (fabs.f64 (fabs.f64 y)) #s(literal 500 binary64))
(/.f64 (sqrt.f64 (neg.f64 (/.f64 (*.f64 y y) #s(literal -500 binary64)))) (sqrt.f64 #s(literal 500 binary64)))
(/.f64 (sqrt.f64 (/.f64 (*.f64 y y) #s(literal -500 binary64))) (sqrt.f64 #s(literal -500 binary64)))
(/.f64 (sqrt.f64 (*.f64 (/.f64 y #s(literal 500 binary64)) y)) (sqrt.f64 #s(literal 500 binary64)))
(/.f64 (sqrt.f64 (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(literal -250000 binary64)))
(/.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 #s(literal -500 binary64))))
(/.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 500 binary64))))
(/.f64 (fabs.f64 y) #s(literal 500 binary64))
(/.f64 (neg.f64 y) #s(literal -500 binary64))
(/.f64 y #s(literal 500 binary64))
(neg.f64 (/.f64 y #s(literal -500 binary64)))
(sqrt.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 2 binary64)))
(fabs.f64 (/.f64 y #s(literal -500 binary64)))
(fabs.f64 (/.f64 y #s(literal 500 binary64)))
(exp.f64 (/.f64 (log.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 y #s(literal 500 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (/.f64 y #s(literal 500 binary64))))
(+.f64 (cosh.f64 (log.f64 (/.f64 y #s(literal 500 binary64)))) (sinh.f64 (log.f64 (/.f64 y #s(literal 500 binary64)))))

eval20.0ms (0.6%)

Memory
9.1MiB live, 55.5MiB allocated
Compiler

Compiled 6 531 to 547 computations (91.6% saved)

prune3.0ms (0.1%)

Memory
13.1MiB live, 13.1MiB allocated
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1763179
Fresh000
Picked011
Done000
Total1764180
Accuracy
100.0%
Counts
180 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.0%
(/.f64 (fma.f64 y (/.f64 y #s(literal 250000 binary64)) (*.f64 (neg.f64 x) x)) (-.f64 (/.f64 y #s(literal 500 binary64)) x))
100.0%
(+.f64 x (/.f64 y #s(literal 500 binary64)))
99.9%
#s(approx (+ x (/ y 500)) (fma.f64 #s(literal 1/500 binary64) y x))
50.4%
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))
Compiler

Compiled 39 to 32 computations (17.9% saved)

simplify38.0ms (1.2%)

Memory
-30.8MiB live, 16.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (neg.f64 x) x)
cost-diff0
(/.f64 y #s(literal 250000 binary64))
cost-diff0
(fma.f64 y (/.f64 y #s(literal 250000 binary64)) (*.f64 (neg.f64 x) x))
cost-diff0
(/.f64 (fma.f64 y (/.f64 y #s(literal 250000 binary64)) (*.f64 (neg.f64 x) x)) (-.f64 (/.f64 y #s(literal 500 binary64)) x))
cost-diff0
(fma.f64 #s(literal 1/500 binary64) y x)
cost-diff0
#s(approx (+ x (/ y 500)) (fma.f64 #s(literal 1/500 binary64) y x))
cost-diff0
(*.f64 #s(literal 1/500 binary64) y)
cost-diff0
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01876
02876
14576
28376
316576
431476
551876
665076
765476
065476
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))
(*.f64 #s(literal 1/500 binary64) y)
#s(literal 1/500 binary64)
y
#s(approx (+ x (/ y 500)) (fma.f64 #s(literal 1/500 binary64) y x))
(fma.f64 #s(literal 1/500 binary64) y x)
#s(literal 1/500 binary64)
y
x
(/.f64 (fma.f64 y (/.f64 y #s(literal 250000 binary64)) (*.f64 (neg.f64 x) x)) (-.f64 (/.f64 y #s(literal 500 binary64)) x))
(fma.f64 y (/.f64 y #s(literal 250000 binary64)) (*.f64 (neg.f64 x) x))
y
(/.f64 y #s(literal 250000 binary64))
#s(literal 250000 binary64)
(*.f64 (neg.f64 x) x)
(neg.f64 x)
x
(-.f64 (/.f64 y #s(literal 500 binary64)) x)
(/.f64 y #s(literal 500 binary64))
#s(literal 500 binary64)
Outputs
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))
(*.f64 #s(literal 1/500 binary64) y)
#s(literal 1/500 binary64)
y
#s(approx (+ x (/ y 500)) (fma.f64 #s(literal 1/500 binary64) y x))
(fma.f64 #s(literal 1/500 binary64) y x)
#s(literal 1/500 binary64)
y
x
(/.f64 (fma.f64 y (/.f64 y #s(literal 250000 binary64)) (*.f64 (neg.f64 x) x)) (-.f64 (/.f64 y #s(literal 500 binary64)) x))
(/.f64 (fma.f64 (/.f64 y #s(literal -250000 binary64)) y (*.f64 x x)) (neg.f64 (-.f64 (/.f64 y #s(literal 500 binary64)) x)))
(fma.f64 y (/.f64 y #s(literal 250000 binary64)) (*.f64 (neg.f64 x) x))
(fma.f64 (/.f64 y #s(literal 250000 binary64)) y (*.f64 (neg.f64 x) x))
y
(/.f64 y #s(literal 250000 binary64))
#s(literal 250000 binary64)
(*.f64 (neg.f64 x) x)
(neg.f64 x)
x
(-.f64 (/.f64 y #s(literal 500 binary64)) x)
(/.f64 y #s(literal 500 binary64))
#s(literal 500 binary64)

localize52.0ms (1.6%)

Memory
6.5MiB live, 56.3MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(neg.f64 x)
accuracy0.0078125
(-.f64 (/.f64 y #s(literal 500 binary64)) x)
accuracy2.816375973661162
(fma.f64 y (/.f64 y #s(literal 250000 binary64)) (*.f64 (neg.f64 x) x))
accuracy28.601405170556347
(/.f64 (fma.f64 y (/.f64 y #s(literal 250000 binary64)) (*.f64 (neg.f64 x) x)) (-.f64 (/.f64 y #s(literal 500 binary64)) x))
accuracy0.0
#s(approx (+ x (/ y 500)) (fma.f64 #s(literal 1/500 binary64) y x))
accuracy0.04296875
(fma.f64 #s(literal 1/500 binary64) y x)
accuracy0.12109375
(*.f64 #s(literal 1/500 binary64) y)
accuracy31.742217975433277
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))
Samples
42.0ms256×0valid
Compiler

Compiled 72 to 18 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-div: 5.0ms (23.5% of total)
ival-add: 5.0ms (23.5% of total)
ival-mult: 5.0ms (23.5% of total)
const: 3.0ms (14.1% of total)
ival-sub: 1.0ms (4.7% of total)
ival-neg: 1.0ms (4.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series9.0ms (0.3%)

Memory
11.1MiB live, 11.1MiB allocated
Counts
10 → 20
Calls
Call 1
Inputs
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))
(*.f64 #s(literal 1/500 binary64) y)
#s(approx (+ x (/ y 500)) (fma.f64 #s(literal 1/500 binary64) y x))
(fma.f64 #s(literal 1/500 binary64) y x)
(/.f64 (fma.f64 y (/.f64 y #s(literal 250000 binary64)) (*.f64 (neg.f64 x) x)) (-.f64 (/.f64 y #s(literal 500 binary64)) x))
(fma.f64 y (/.f64 y #s(literal 250000 binary64)) (*.f64 (neg.f64 x) x))
(/.f64 y #s(literal 250000 binary64))
(*.f64 (neg.f64 x) x)
(-.f64 (/.f64 y #s(literal 500 binary64)) x)
(neg.f64 x)
Outputs
(* 1/500 y)
(+ x (* 1/500 y))
(* 1/250000 (pow y 2))
(+ (* -1 (pow x 2)) (* 1/250000 (pow y 2)))
(* -1 (pow x 2))
(+ (* -1 x) (* 1/500 y))
(* -1 x)
x
(* x (+ 1 (* 1/500 (/ y x))))
(* (pow x 2) (- (* 1/250000 (/ (pow y 2) (pow x 2))) 1))
(* x (- (* 1/500 (/ y x)) 1))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (* x (+ 1 (* -1/500 (/ y x)))))
(* 1/250000 y)
(- (* 1/500 y) x)
(* y (+ 1/500 (/ x y)))
(* (pow y 2) (+ 1/250000 (* -1 (/ (pow x 2) (pow y 2)))))
(* y (+ 1/500 (* -1 (/ x y))))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1 (* y (- (/ x y) 1/500)))
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@inf
((+ x (/ y 500)) (* 1/500 y) (+ x (/ y 500)) (+ (* 1/500 y) x) (/ (+ (* y (/ y 250000)) (* (neg x) x)) (- (/ y 500) x)) (+ (* y (/ y 250000)) (* (neg x) x)) (/ y 250000) (* (neg x) x) (- (/ y 500) x) (neg x))
2.0ms
y
@-inf
((+ x (/ y 500)) (* 1/500 y) (+ x (/ y 500)) (+ (* 1/500 y) x) (/ (+ (* y (/ y 250000)) (* (neg x) x)) (- (/ y 500) x)) (+ (* y (/ y 250000)) (* (neg x) x)) (/ y 250000) (* (neg x) x) (- (/ y 500) x) (neg x))
1.0ms
y
@inf
((+ x (/ y 500)) (* 1/500 y) (+ x (/ y 500)) (+ (* 1/500 y) x) (/ (+ (* y (/ y 250000)) (* (neg x) x)) (- (/ y 500) x)) (+ (* y (/ y 250000)) (* (neg x) x)) (/ y 250000) (* (neg x) x) (- (/ y 500) x) (neg x))
1.0ms
x
@0
((+ x (/ y 500)) (* 1/500 y) (+ x (/ y 500)) (+ (* 1/500 y) x) (/ (+ (* y (/ y 250000)) (* (neg x) x)) (- (/ y 500) x)) (+ (* y (/ y 250000)) (* (neg x) x)) (/ y 250000) (* (neg x) x) (- (/ y 500) x) (neg x))
1.0ms
y
@0
((+ x (/ y 500)) (* 1/500 y) (+ x (/ y 500)) (+ (* 1/500 y) x) (/ (+ (* y (/ y 250000)) (* (neg x) x)) (- (/ y 500) x)) (+ (* y (/ y 250000)) (* (neg x) x)) (/ y 250000) (* (neg x) x) (- (/ y 500) x) (neg x))

simplify108.0ms (3.3%)

Memory
-16.9MiB live, 74.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052114
1148108
2404106
31383106
44455106
08255101
Stop Event
iter limit
node limit
Counts
20 → 19
Calls
Call 1
Inputs
(* 1/500 y)
(+ x (* 1/500 y))
(* 1/250000 (pow y 2))
(+ (* -1 (pow x 2)) (* 1/250000 (pow y 2)))
(* -1 (pow x 2))
(+ (* -1 x) (* 1/500 y))
(* -1 x)
x
(* x (+ 1 (* 1/500 (/ y x))))
(* (pow x 2) (- (* 1/250000 (/ (pow y 2) (pow x 2))) 1))
(* x (- (* 1/500 (/ y x)) 1))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (* x (+ 1 (* -1/500 (/ y x)))))
(* 1/250000 y)
(- (* 1/500 y) x)
(* y (+ 1/500 (/ x y)))
(* (pow y 2) (+ 1/250000 (* -1 (/ (pow x 2) (pow y 2)))))
(* y (+ 1/500 (* -1 (/ x y))))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1 (* y (- (/ x y) 1/500)))
Outputs
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(* 1/250000 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/250000 binary64))
(+ (* -1 (pow x 2)) (* 1/250000 (pow y 2)))
(neg.f64 (fma.f64 x x (*.f64 #s(literal -1/250000 binary64) (*.f64 y y))))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(+ (* -1 x) (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y (neg.f64 x))
(* -1 x)
(neg.f64 x)
x
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 #s(literal 1/500 binary64) y x)
(* (pow x 2) (- (* 1/250000 (/ (pow y 2) (pow x 2))) 1))
(*.f64 (-.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/250000 binary64) x) x) y) y) #s(literal 1 binary64)) (*.f64 x x))
(* x (- (* 1/500 (/ y x)) 1))
(fma.f64 #s(literal 1/500 binary64) y (neg.f64 x))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* x (+ 1 (* -1/500 (/ y x)))))
(fma.f64 #s(literal 1/500 binary64) y (neg.f64 x))
(* 1/250000 y)
(*.f64 #s(literal 1/250000 binary64) y)
(- (* 1/500 y) x)
(fma.f64 #s(literal 1/500 binary64) y (neg.f64 x))
(* y (+ 1/500 (/ x y)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* (pow y 2) (+ 1/250000 (* -1 (/ (pow x 2) (pow y 2)))))
(neg.f64 (fma.f64 x x (*.f64 #s(literal -1/250000 binary64) (*.f64 y y))))
(* y (+ 1/500 (* -1 (/ x y))))
(fma.f64 #s(literal 1/500 binary64) y (neg.f64 x))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* y (- (/ x y) 1/500)))
(fma.f64 #s(literal 1/500 binary64) y (neg.f64 x))

rewrite208.0ms (6.3%)

Memory
18.4MiB live, 203.0MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01864
02864
19754
268654
0851954
Stop Event
iter limit
node limit
iter limit
Counts
10 → 395
Calls
Call 1
Inputs
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))
(*.f64 #s(literal 1/500 binary64) y)
#s(approx (+ x (/ y 500)) (fma.f64 #s(literal 1/500 binary64) y x))
(fma.f64 #s(literal 1/500 binary64) y x)
(/.f64 (fma.f64 y (/.f64 y #s(literal 250000 binary64)) (*.f64 (neg.f64 x) x)) (-.f64 (/.f64 y #s(literal 500 binary64)) x))
(fma.f64 y (/.f64 y #s(literal 250000 binary64)) (*.f64 (neg.f64 x) x))
(/.f64 y #s(literal 250000 binary64))
(*.f64 (neg.f64 x) x)
(-.f64 (/.f64 y #s(literal 500 binary64)) x)
(neg.f64 x)
Outputs
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))
(*.f64 #s(literal 1/500 binary64) y)
(*.f64 y #s(literal 1/500 binary64))
#s(approx (+ x (/ y 500)) (fma.f64 #s(literal 1/500 binary64) y x))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) (/.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)))) (+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 x (-.f64 x (*.f64 #s(literal 1/500 binary64) y))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 x (-.f64 x (*.f64 #s(literal 1/500 binary64) y)))))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 x (-.f64 x (*.f64 #s(literal 1/500 binary64) y))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 x (-.f64 x (*.f64 #s(literal 1/500 binary64) y))))))) (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 x (-.f64 x (*.f64 #s(literal 1/500 binary64) y))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 x (-.f64 x (*.f64 #s(literal 1/500 binary64) y)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) (/.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/500 binary64) y) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 x (*.f64 #s(literal -1/500 binary64) y)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 x (-.f64 x (*.f64 #s(literal 1/500 binary64) y))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 x (-.f64 x (*.f64 #s(literal 1/500 binary64) y))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 x (-.f64 x (*.f64 #s(literal 1/500 binary64) y))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 x (-.f64 x (*.f64 #s(literal 1/500 binary64) y))))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 x (-.f64 x (*.f64 #s(literal 1/500 binary64) y))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 x (-.f64 x (*.f64 #s(literal 1/500 binary64) y)))))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 x (-.f64 x (*.f64 #s(literal 1/500 binary64) y))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 x (-.f64 x (*.f64 #s(literal 1/500 binary64) y)))))))))
(/.f64 (neg.f64 (fma.f64 x x (*.f64 #s(literal -1/250000 binary64) (*.f64 y y)))) (neg.f64 (-.f64 x (*.f64 #s(literal 1/500 binary64) y))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/500 binary64) y) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 x (-.f64 x (*.f64 #s(literal 1/500 binary64) y)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) (*.f64 (-.f64 (*.f64 #s(literal 1/500 binary64) y) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 #s(literal 1/500 binary64) y) x) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)))
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 x (-.f64 x (*.f64 #s(literal 1/500 binary64) y)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 x (-.f64 x (*.f64 #s(literal 1/500 binary64) y)))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 x (-.f64 x (*.f64 #s(literal 1/500 binary64) y)))) (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 x (-.f64 x (*.f64 #s(literal 1/500 binary64) y))))))
(/.f64 (fma.f64 x x (*.f64 #s(literal -1/250000 binary64) (*.f64 y y))) (-.f64 x (*.f64 #s(literal 1/500 binary64) y)))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x))) (neg.f64 (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 #s(literal 1/500 binary64) y) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 x (-.f64 x (*.f64 #s(literal 1/500 binary64) y))))))
(/.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x))
(/.f64 (fma.f64 #s(literal 1/125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 #s(literal 1/500 binary64) y) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x))))
(/.f64 (fma.f64 #s(literal 1/125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 x (-.f64 x (*.f64 #s(literal 1/500 binary64) y)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x))) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 x (-.f64 x (*.f64 #s(literal 1/500 binary64) y))))))
(neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 (neg.f64 x) x)) (neg.f64 (-.f64 (*.f64 #s(literal 1/500 binary64) y) x))))
(neg.f64 (/.f64 (fma.f64 #s(literal 1/125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (*.f64 x (-.f64 x (*.f64 #s(literal 1/500 binary64) y)))))))
(fma.f64 #s(literal 1/500 binary64) y x)
(fma.f64 y #s(literal 1/500 binary64) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(literal 1/500 binary64) y))) (/.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 2 binary64)) (-.f64 x (*.f64 #s(literal 1/500 binary64) y))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)))
(-.f64 x (*.f64 #s(literal -1/500 binary64) y))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (*.f64 (*.f64 #s(literal 1/500 binary64) y) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)))) (/.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 3 binary64)) (fma.f64 x x (*.f64 (*.f64 #s(literal 1/500 binary64) y) (-.f64 (*.f64 #s(literal 1/500 binary64) y) x)))))
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(-.f64 (/.f64 y #s(literal 500 binary64)) x)
(+.f64 (*.f64 (*.f64 (/.f64 y #s(literal 500 binary64)) (-.f64 (/.f64 y #s(literal 500 binary64)) x)) (/.f64 (fma.f64 (/.f64 y #s(literal 250000 binary64)) y (*.f64 (neg.f64 x) x)) (+.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 x x) (/.f64 (fma.f64 (/.f64 y #s(literal 250000 binary64)) y (*.f64 (neg.f64 x) x)) (+.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
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(+.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 (/.f64 y #s(literal 250000 binary64)) y)) (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 4 binary64)))) (+.f64 (/.f64 y #s(literal 500 binary64)) x)) (/.f64 (/.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 (/.f64 y #s(literal 250000 binary64)) y)) (pow.f64 (/.f64 y #s(literal 500 binary64)) #s(literal 4 binary64)))) (+.f64 (/.f64 y #s(literal 500 binary64)) x)))
(+.f64 (/.f64 (*.f64 (neg.f64 x) x) (+.f64 (/.f64 y #s(literal 500 binary64)) x)) (/.f64 (*.f64 (/.f64 y #s(literal 250000 binary64)) y) (+.f64 (/.f64 y #s(literal 500 binary64)) x)))
(+.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 y #s(literal -500 binary64)) (neg.f64 x))) (/.f64 (*.f64 (/.f64 y #s(literal 250000 binary64)) y) (+.f64 (/.f64 y #s(literal 500 binary64)) x)))
(+.f64 (/.f64 (*.f64 (/.f64 y #s(literal 250000 binary64)) y) (+.f64 (/.f64 y #s(literal 500 binary64)) x)) (/.f64 (*.f64 (neg.f64 x) x) (+.f64 (/.f64 y #s(literal 500 binary64)) x)))
(+.f64 (/.f64 (*.f64 (/.f64 y #s(literal 250000 binary64)) y) (+.f64 (/.f64 y #s(literal 500 binary64)) x)) (/.f64 (*.f64 x x) (+.f64 (/.f64 y #s(literal -500 binary64)) (neg.f64 x))))
(neg.f64 x)

eval49.0ms (1.5%)

Memory
-4.0MiB live, 95.1MiB allocated
Compiler

Compiled 15 756 to 1 293 computations (91.8% saved)

prune6.0ms (0.2%)

Memory
24.2MiB live, 24.2MiB allocated
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New4011402
Fresh000
Picked123
Done011
Total4024406
Accuracy
100.0%
Counts
406 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.2%
(/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (*.f64 (*.f64 y y) #s(literal 1/250000 binary64))) (-.f64 (/.f64 y #s(literal 500 binary64)) x))
100.0%
(+.f64 x (/.f64 y #s(literal 500 binary64)))
99.9%
#s(approx (+ x (/ y 500)) (fma.f64 #s(literal 1/500 binary64) y x))
50.4%
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))
Compiler

Compiled 46 to 37 computations (19.6% saved)

simplify12.0ms (0.4%)

Memory
-35.0MiB live, 11.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y y)
cost-diff0
(*.f64 (*.f64 y y) #s(literal 1/250000 binary64))
cost-diff0
#s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (*.f64 (*.f64 y y) #s(literal 1/250000 binary64)))
cost-diff0
(/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (*.f64 (*.f64 y y) #s(literal 1/250000 binary64))) (-.f64 (/.f64 y #s(literal 500 binary64)) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01658
02156
13856
27856
315656
423256
528456
628756
028756
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (*.f64 (*.f64 y y) #s(literal 1/250000 binary64))) (-.f64 (/.f64 y #s(literal 500 binary64)) x))
#s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (*.f64 (*.f64 y y) #s(literal 1/250000 binary64)))
(*.f64 (*.f64 y y) #s(literal 1/250000 binary64))
(*.f64 y y)
y
#s(literal 1/250000 binary64)
(-.f64 (/.f64 y #s(literal 500 binary64)) x)
(/.f64 y #s(literal 500 binary64))
#s(literal 500 binary64)
x
Outputs
(/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (*.f64 (*.f64 y y) #s(literal 1/250000 binary64))) (-.f64 (/.f64 y #s(literal 500 binary64)) x))
(/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (*.f64 #s(literal 1/250000 binary64) (*.f64 y y))) (-.f64 (/.f64 y #s(literal 500 binary64)) x))
#s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (*.f64 (*.f64 y y) #s(literal 1/250000 binary64)))
#s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (*.f64 #s(literal 1/250000 binary64) (*.f64 y y)))
(*.f64 (*.f64 y y) #s(literal 1/250000 binary64))
(*.f64 #s(literal 1/250000 binary64) (*.f64 y y))
(*.f64 y y)
y
#s(literal 1/250000 binary64)
(-.f64 (/.f64 y #s(literal 500 binary64)) x)
(/.f64 y #s(literal 500 binary64))
#s(literal 500 binary64)
x

localize50.0ms (1.5%)

Memory
12.6MiB live, 95.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(-.f64 (/.f64 y #s(literal 500 binary64)) x)
accuracy0.3615768728065394
(*.f64 (*.f64 y y) #s(literal 1/250000 binary64))
accuracy28.340545948018338
#s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (*.f64 (*.f64 y y) #s(literal 1/250000 binary64)))
accuracy28.601405170556347
(/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (*.f64 (*.f64 y y) #s(literal 1/250000 binary64))) (-.f64 (/.f64 y #s(literal 500 binary64)) x))
Samples
32.0ms256×0valid
Compiler

Compiled 48 to 17 computations (64.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 6.0ms (25.9% of total)
ival-div: 5.0ms (21.6% of total)
ival-add: 5.0ms (21.6% of total)
const: 3.0ms (12.9% of total)
ival-sub: 1.0ms (4.3% of total)
ival-neg: 1.0ms (4.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
17.1MiB live, 17.1MiB allocated
Counts
5 → 20
Calls
Call 1
Inputs
(/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (*.f64 (*.f64 y y) #s(literal 1/250000 binary64))) (-.f64 (/.f64 y #s(literal 500 binary64)) x))
#s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (*.f64 (*.f64 y y) #s(literal 1/250000 binary64)))
(*.f64 (*.f64 y y) #s(literal 1/250000 binary64))
(*.f64 y y)
(-.f64 (/.f64 y #s(literal 500 binary64)) x)
Outputs
(* 1/500 y)
(+ x (* 1/500 y))
(* 1/250000 (pow y 2))
(+ (* -1 (pow x 2)) (* 1/250000 (pow y 2)))
(+ (* -1 x) (* 1/500 y))
x
(* x (+ 1 (* 1/500 (/ y x))))
(* -1 (pow x 2))
(* (pow x 2) (- (* 1/250000 (/ (pow y 2) (pow x 2))) 1))
(* -1 x)
(* x (- (* 1/500 (/ y x)) 1))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (* x (+ 1 (* -1/500 (/ y x)))))
(pow y 2)
(- (* 1/500 y) x)
(* y (+ 1/500 (/ x y)))
(* (pow y 2) (+ 1/250000 (* -1 (/ (pow x 2) (pow y 2)))))
(* y (+ 1/500 (* -1 (/ x y))))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1 (* y (- (/ x y) 1/500)))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
((/ (+ (* y (/ y 250000)) (* (neg x) x)) (- (/ y 500) x)) (+ (* y (/ y 250000)) (* (neg x) x)) (* (* y y) 1/250000) (* y y) (- (/ y 500) x))
1.0ms
y
@inf
((/ (+ (* y (/ y 250000)) (* (neg x) x)) (- (/ y 500) x)) (+ (* y (/ y 250000)) (* (neg x) x)) (* (* y y) 1/250000) (* y y) (- (/ y 500) x))
1.0ms
y
@0
((/ (+ (* y (/ y 250000)) (* (neg x) x)) (- (/ y 500) x)) (+ (* y (/ y 250000)) (* (neg x) x)) (* (* y y) 1/250000) (* y y) (- (/ y 500) x))
1.0ms
x
@inf
((/ (+ (* y (/ y 250000)) (* (neg x) x)) (- (/ y 500) x)) (+ (* y (/ y 250000)) (* (neg x) x)) (* (* y y) 1/250000) (* y y) (- (/ y 500) x))
1.0ms
x
@-inf
((/ (+ (* y (/ y 250000)) (* (neg x) x)) (- (/ y 500) x)) (+ (* y (/ y 250000)) (* (neg x) x)) (* (* y y) 1/250000) (* y y) (- (/ y 500) x))

simplify98.0ms (3%)

Memory
-6.8MiB live, 94.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051114
1146108
2404106
31394106
44516106
08312101
Stop Event
iter limit
node limit
Counts
20 → 19
Calls
Call 1
Inputs
(* 1/500 y)
(+ x (* 1/500 y))
(* 1/250000 (pow y 2))
(+ (* -1 (pow x 2)) (* 1/250000 (pow y 2)))
(+ (* -1 x) (* 1/500 y))
x
(* x (+ 1 (* 1/500 (/ y x))))
(* -1 (pow x 2))
(* (pow x 2) (- (* 1/250000 (/ (pow y 2) (pow x 2))) 1))
(* -1 x)
(* x (- (* 1/500 (/ y x)) 1))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (* x (+ 1 (* -1/500 (/ y x)))))
(pow y 2)
(- (* 1/500 y) x)
(* y (+ 1/500 (/ x y)))
(* (pow y 2) (+ 1/250000 (* -1 (/ (pow x 2) (pow y 2)))))
(* y (+ 1/500 (* -1 (/ x y))))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1 (* y (- (/ x y) 1/500)))
Outputs
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(* 1/250000 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/250000 binary64))
(+ (* -1 (pow x 2)) (* 1/250000 (pow y 2)))
(neg.f64 (fma.f64 x x (*.f64 #s(literal -1/250000 binary64) (*.f64 y y))))
(+ (* -1 x) (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y (neg.f64 x))
x
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (* 1/250000 (/ (pow y 2) (pow x 2))) 1))
(*.f64 (-.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/250000 binary64) x) x) y) y) #s(literal 1 binary64)) (*.f64 x x))
(* -1 x)
(neg.f64 x)
(* x (- (* 1/500 (/ y x)) 1))
(fma.f64 #s(literal 1/500 binary64) y (neg.f64 x))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* x (+ 1 (* -1/500 (/ y x)))))
(fma.f64 #s(literal 1/500 binary64) y (neg.f64 x))
(pow y 2)
(*.f64 y y)
(- (* 1/500 y) x)
(fma.f64 #s(literal 1/500 binary64) y (neg.f64 x))
(* y (+ 1/500 (/ x y)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* (pow y 2) (+ 1/250000 (* -1 (/ (pow x 2) (pow y 2)))))
(neg.f64 (fma.f64 x x (*.f64 #s(literal -1/250000 binary64) (*.f64 y y))))
(* y (+ 1/500 (* -1 (/ x y))))
(fma.f64 #s(literal 1/500 binary64) y (neg.f64 x))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* y (- (/ x y) 1/500)))
(fma.f64 #s(literal 1/500 binary64) y (neg.f64 x))

rewrite154.0ms (4.7%)

Memory
23.4MiB live, 162.2MiB allocated
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01651
02149
17349
244249
3487345
0961345
Stop Event
iter limit
node limit
iter limit
Counts
5 → 106
Calls
Call 1
Inputs
(/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (*.f64 (*.f64 y y) #s(literal 1/250000 binary64))) (-.f64 (/.f64 y #s(literal 500 binary64)) x))
#s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (*.f64 (*.f64 y y) #s(literal 1/250000 binary64)))
(*.f64 (*.f64 y y) #s(literal 1/250000 binary64))
(*.f64 y y)
(-.f64 (/.f64 y #s(literal 500 binary64)) x)
Outputs
(*.f64 (/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (*.f64 (*.f64 y y) #s(literal 1/250000 binary64))) (pow.f64 (-.f64 (/.f64 y #s(literal -500 binary64)) x) #s(literal 2 binary64))) (-.f64 (/.f64 y #s(literal -500 binary64)) x))
(*.f64 (/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (*.f64 (*.f64 y y) #s(literal 1/250000 binary64))) (-.f64 (pow.f64 (/.f64 y #s(literal -500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 (/.f64 y #s(literal -500 binary64)) x) x (*.f64 (/.f64 y #s(literal -250000 binary64)) y)))
(*.f64 (-.f64 (/.f64 y #s(literal -500 binary64)) x) (/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (*.f64 (*.f64 y y) #s(literal 1/250000 binary64))) (pow.f64 (-.f64 (/.f64 y #s(literal -500 binary64)) x) #s(literal 2 binary64))))
(*.f64 (fma.f64 (-.f64 (/.f64 y #s(literal -500 binary64)) x) x (*.f64 (/.f64 y #s(literal -250000 binary64)) y)) (/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (*.f64 (*.f64 y y) #s(literal 1/250000 binary64))) (-.f64 (pow.f64 (/.f64 y #s(literal -500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (*.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (*.f64 (*.f64 y y) #s(literal 1/250000 binary64))) (-.f64 (/.f64 y #s(literal -500 binary64)) x)) (pow.f64 (-.f64 (/.f64 y #s(literal -500 binary64)) x) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (*.f64 (*.f64 y y) #s(literal 1/250000 binary64))) (fma.f64 (-.f64 (/.f64 y #s(literal -500 binary64)) x) x (*.f64 (/.f64 y #s(literal -250000 binary64)) y))) (-.f64 (pow.f64 (/.f64 y #s(literal -500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (*.f64 (/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (*.f64 (*.f64 y y) #s(literal 1/250000 binary64))) (pow.f64 (-.f64 (/.f64 y #s(literal -500 binary64)) x) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 y #s(literal -500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 (/.f64 y #s(literal -500 binary64)) x) x (*.f64 (/.f64 y #s(literal -250000 binary64)) y)))
(/.f64 (*.f64 (/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (*.f64 (*.f64 y y) #s(literal 1/250000 binary64))) (pow.f64 (-.f64 (/.f64 y #s(literal -500 binary64)) x) #s(literal 2 binary64))) (pow.f64 (-.f64 (/.f64 y #s(literal -500 binary64)) x) #s(literal 2 binary64))) (-.f64 (/.f64 y #s(literal -500 binary64)) x))
(/.f64 (*.f64 (/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (*.f64 (*.f64 y y) #s(literal 1/250000 binary64))) (-.f64 (pow.f64 (/.f64 y #s(literal -500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 (/.f64 y #s(literal -500 binary64)) x) x (*.f64 (/.f64 y #s(literal -250000 binary64)) y)) #s(literal 2 binary64))) (fma.f64 (-.f64 (/.f64 y #s(literal -500 binary64)) x) x (*.f64 (/.f64 y #s(literal -250000 binary64)) y)))
(/.f64 (*.f64 (/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (*.f64 (*.f64 y y) #s(literal 1/250000 binary64))) (-.f64 (pow.f64 (/.f64 y #s(literal -500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (-.f64 (/.f64 y #s(literal -500 binary64)) x) x) #s(literal 3 binary64)) (pow.f64 (/.f64 y #s(literal -500 binary64)) #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 (/.f64 y #s(literal -500 binary64)) x) x) (fma.f64 (-.f64 (/.f64 y #s(literal -500 binary64)) x) x (*.f64 (/.f64 y #s(literal -250000 binary64)) y)) (pow.f64 (/.f64 y #s(literal -500 binary64)) #s(literal 4 binary64))))
(/.f64 (*.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (*.f64 (*.f64 y y) #s(literal 1/250000 binary64))) (-.f64 (pow.f64 (/.f64 y #s(literal -500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (pow.f64 (-.f64 (/.f64 y #s(literal -500 binary64)) x) #s(literal 2 binary64)) (fma.f64 (-.f64 (/.f64 y #s(literal -500 binary64)) x) x (*.f64 (/.f64 y #s(literal -250000 binary64)) y))))
(/.f64 (*.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (*.f64 (*.f64 y y) #s(literal 1/250000 binary64))) (pow.f64 (-.f64 (/.f64 y #s(literal -500 binary64)) x) #s(literal 2 binary64))) (pow.f64 (-.f64 (/.f64 y #s(literal -500 binary64)) x) #s(literal 3 binary64)))
(/.f64 (*.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (*.f64 (*.f64 y y) #s(literal 1/250000 binary64))) (pow.f64 (fma.f64 (-.f64 (/.f64 y #s(literal -500 binary64)) x) x (*.f64 (/.f64 y #s(literal -250000 binary64)) y)) #s(literal 2 binary64))) (*.f64 (-.f64 (pow.f64 (/.f64 y #s(literal -500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 (/.f64 y #s(literal -500 binary64)) x) x (*.f64 (/.f64 y #s(literal -250000 binary64)) y))))
(/.f64 (*.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (*.f64 (*.f64 y y) #s(literal 1/250000 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (/.f64 y #s(literal -500 binary64)) x) x) #s(literal 3 binary64)) (pow.f64 (/.f64 y #s(literal -500 binary64)) #s(literal 6 binary64)))) (*.f64 (-.f64 (pow.f64 (/.f64 y #s(literal -500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 (/.f64 y #s(literal -500 binary64)) x) x) (fma.f64 (-.f64 (/.f64 y #s(literal -500 binary64)) x) x (*.f64 (/.f64 y #s(literal -250000 binary64)) y)) (pow.f64 (/.f64 y #s(literal -500 binary64)) #s(literal 4 binary64)))))
(/.f64 (neg.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (*.f64 (*.f64 y y) #s(literal 1/250000 binary64)))) (-.f64 (/.f64 y #s(literal -500 binary64)) x))
(/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (*.f64 (*.f64 y y) #s(literal 1/250000 binary64))) (-.f64 (/.f64 y #s(literal -500 binary64)) x))
(neg.f64 (/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (*.f64 (*.f64 y y) #s(literal 1/250000 binary64))) (-.f64 (/.f64 y #s(literal -500 binary64)) x)))
(fma.f64 (/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (*.f64 (*.f64 y y) #s(literal 1/250000 binary64))) (pow.f64 (-.f64 (/.f64 y #s(literal -500 binary64)) x) #s(literal 2 binary64))) (/.f64 y #s(literal -500 binary64)) (*.f64 (/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (*.f64 (*.f64 y y) #s(literal 1/250000 binary64))) (pow.f64 (-.f64 (/.f64 y #s(literal -500 binary64)) x) #s(literal 2 binary64))) x))
(fma.f64 (/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (*.f64 (*.f64 y y) #s(literal 1/250000 binary64))) (pow.f64 (-.f64 (/.f64 y #s(literal -500 binary64)) x) #s(literal 2 binary64))) x (*.f64 (/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (*.f64 (*.f64 y y) #s(literal 1/250000 binary64))) (pow.f64 (-.f64 (/.f64 y #s(literal -500 binary64)) x) #s(literal 2 binary64))) (/.f64 y #s(literal -500 binary64))))
(fma.f64 (/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (*.f64 (*.f64 y y) #s(literal 1/250000 binary64))) (-.f64 (pow.f64 (/.f64 y #s(literal -500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 (/.f64 y #s(literal -500 binary64)) x) x) (*.f64 (/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (*.f64 (*.f64 y y) #s(literal 1/250000 binary64))) (-.f64 (pow.f64 (/.f64 y #s(literal -500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (/.f64 y #s(literal -250000 binary64)) y)))
(fma.f64 (/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (*.f64 (*.f64 y y) #s(literal 1/250000 binary64))) (-.f64 (pow.f64 (/.f64 y #s(literal -500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (-.f64 (/.f64 y #s(literal -500 binary64)) x) #s(literal 2 binary64)) (*.f64 (/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (*.f64 (*.f64 y y) #s(literal 1/250000 binary64))) (-.f64 (pow.f64 (/.f64 y #s(literal -500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (/.f64 y #s(literal -500 binary64)) x)))
(fma.f64 (/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (*.f64 (*.f64 y y) #s(literal 1/250000 binary64))) (-.f64 (pow.f64 (/.f64 y #s(literal -500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (/.f64 y #s(literal -250000 binary64)) y) (*.f64 (/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (*.f64 (*.f64 y y) #s(literal 1/250000 binary64))) (-.f64 (pow.f64 (/.f64 y #s(literal -500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 (/.f64 y #s(literal -500 binary64)) x) x)))
(fma.f64 (*.f64 (-.f64 (/.f64 y #s(literal -500 binary64)) x) x) (/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (*.f64 (*.f64 y y) #s(literal 1/250000 binary64))) (-.f64 (pow.f64 (/.f64 y #s(literal -500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 (/.f64 y #s(literal -250000 binary64)) y) (/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (*.f64 (*.f64 y y) #s(literal 1/250000 binary64))) (-.f64 (pow.f64 (/.f64 y #s(literal -500 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(fma.f64 (/.f64 y #s(literal -500 binary64)) (/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (*.f64 (*.f64 y y) #s(literal 1/250000 binary64))) (pow.f64 (-.f64 (/.f64 y #s(literal -500 binary64)) x) #s(literal 2 binary64))) (*.f64 x (/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (*.f64 (*.f64 y y) #s(literal 1/250000 binary64))) (pow.f64 (-.f64 (/.f64 y #s(literal -500 binary64)) x) #s(literal 2 binary64)))))
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(fma.f64 (/.f64 y #s(literal -500 binary64)) (/.f64 (/.f64 y #s(literal -500 binary64)) (-.f64 (/.f64 y #s(literal -500 binary64)) x)) (*.f64 x (/.f64 x (-.f64 (/.f64 y #s(literal -500 binary64)) x))))
(fma.f64 (/.f64 y #s(literal -500 binary64)) (/.f64 (*.f64 (/.f64 y #s(literal -250000 binary64)) y) (fma.f64 (-.f64 (/.f64 y #s(literal -500 binary64)) x) x (*.f64 (/.f64 y #s(literal -250000 binary64)) y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 y #s(literal -500 binary64)) x) x (*.f64 (/.f64 y #s(literal -250000 binary64)) y))))
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) (-.f64 (/.f64 y #s(literal -500 binary64)) x)) (*.f64 (/.f64 y #s(literal -250000 binary64)) (/.f64 y (-.f64 (/.f64 y #s(literal -500 binary64)) x))))
(fma.f64 x (/.f64 x (-.f64 (/.f64 y #s(literal -500 binary64)) x)) (*.f64 (/.f64 y #s(literal -250000 binary64)) (/.f64 y (-.f64 (/.f64 y #s(literal -500 binary64)) x))))
(fma.f64 (*.f64 (/.f64 y #s(literal -250000 binary64)) y) (/.f64 (/.f64 y #s(literal -500 binary64)) (fma.f64 (-.f64 (/.f64 y #s(literal -500 binary64)) x) x (*.f64 (/.f64 y #s(literal -250000 binary64)) y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 y #s(literal -500 binary64)) x) x (*.f64 (/.f64 y #s(literal -250000 binary64)) y))))
(fma.f64 (/.f64 y #s(literal -250000 binary64)) (/.f64 y (-.f64 (/.f64 y #s(literal -500 binary64)) x)) (*.f64 x (/.f64 x (-.f64 (/.f64 y #s(literal -500 binary64)) x))))
(fma.f64 y (/.f64 (/.f64 y #s(literal -250000 binary64)) (-.f64 (/.f64 y #s(literal -500 binary64)) x)) (*.f64 x (/.f64 x (-.f64 (/.f64 y #s(literal -500 binary64)) x))))
(-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y #s(literal -500 binary64)) #s(literal 4 binary64)) (pow.f64 (-.f64 (/.f64 y #s(literal -500 binary64)) x) #s(literal 2 binary64))) (-.f64 (/.f64 y #s(literal -500 binary64)) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 (/.f64 y #s(literal -500 binary64)) x) #s(literal 2 binary64))) (-.f64 (/.f64 y #s(literal -500 binary64)) x)))
(-.f64 (*.f64 x (/.f64 x (-.f64 (/.f64 y #s(literal -500 binary64)) x))) (*.f64 (/.f64 y #s(literal -250000 binary64)) (/.f64 y (-.f64 (/.f64 y #s(literal -500 binary64)) x))))
(-.f64 (*.f64 (/.f64 y #s(literal -250000 binary64)) (/.f64 y (-.f64 (/.f64 y #s(literal -500 binary64)) x))) (*.f64 x (/.f64 x (-.f64 (/.f64 y #s(literal -500 binary64)) x))))
(-.f64 (/.f64 (pow.f64 (/.f64 y #s(literal -500 binary64)) #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 y #s(literal -500 binary64)) x) x (*.f64 (/.f64 y #s(literal -250000 binary64)) y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 y #s(literal -500 binary64)) x) x (*.f64 (/.f64 y #s(literal -250000 binary64)) y))))
(-.f64 (/.f64 y #s(literal -500 binary64)) x)
(+.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y #s(literal -500 binary64)) #s(literal 6 binary64)) (pow.f64 (fma.f64 (-.f64 (/.f64 y #s(literal -500 binary64)) x) x (*.f64 (/.f64 y #s(literal -250000 binary64)) y)) #s(literal 2 binary64))) (-.f64 (/.f64 y #s(literal -500 binary64)) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 (-.f64 (/.f64 y #s(literal -500 binary64)) x) x (*.f64 (/.f64 y #s(literal -250000 binary64)) y)) #s(literal 2 binary64))) (-.f64 (/.f64 y #s(literal -500 binary64)) x)))
(+.f64 (*.f64 x (/.f64 x (-.f64 (/.f64 y #s(literal -500 binary64)) x))) (*.f64 (/.f64 y #s(literal -250000 binary64)) (/.f64 y (-.f64 (/.f64 y #s(literal -500 binary64)) x))))
(+.f64 (*.f64 (/.f64 y #s(literal -250000 binary64)) (/.f64 y (-.f64 (/.f64 y #s(literal -500 binary64)) x))) (*.f64 x (/.f64 x (-.f64 (/.f64 y #s(literal -500 binary64)) x))))
(+.f64 (/.f64 (pow.f64 (/.f64 y #s(literal -500 binary64)) #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 y #s(literal -500 binary64)) x) x (*.f64 (/.f64 y #s(literal -250000 binary64)) y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 y #s(literal -500 binary64)) x) x (*.f64 (/.f64 y #s(literal -250000 binary64)) y))))
(+.f64 (/.f64 y #s(literal -500 binary64)) (neg.f64 x))
(+.f64 (/.f64 y #s(literal -500 binary64)) x)
(+.f64 (neg.f64 x) (/.f64 y #s(literal -500 binary64)))
(+.f64 x (/.f64 y #s(literal -500 binary64)))

eval14.0ms (0.4%)

Memory
-17.9MiB live, 28.0MiB allocated
Compiler

Compiled 4 911 to 392 computations (92% saved)

prune3.0ms (0.1%)

Memory
9.4MiB live, 9.4MiB allocated
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1131114
Fresh000
Picked101
Done033
Total1144118
Accuracy
100.0%
Counts
118 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.2%
(/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (*.f64 (*.f64 y y) #s(literal 1/250000 binary64))) #s(approx (- (/ y 500) x) (fma.f64 #s(literal 1/500 binary64) y (neg.f64 x))))
100.0%
(+.f64 x (/.f64 y #s(literal 500 binary64)))
99.9%
#s(approx (+ x (/ y 500)) (fma.f64 #s(literal 1/500 binary64) y x))
50.4%
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))
Compiler

Compiled 52 to 41 computations (21.2% saved)

simplify9.0ms (0.3%)

Memory
14.9MiB live, 14.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y y)
cost-diff0
(*.f64 (*.f64 y y) #s(literal 1/250000 binary64))
cost-diff0
#s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (*.f64 (*.f64 y y) #s(literal 1/250000 binary64)))
cost-diff0
(/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (*.f64 (*.f64 y y) #s(literal 1/250000 binary64))) #s(approx (- (/ y 500) x) (fma.f64 #s(literal 1/500 binary64) y (neg.f64 x))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02074
02672
14572
29172
317172
425472
531072
631872
031872
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (*.f64 (*.f64 y y) #s(literal 1/250000 binary64))) #s(approx (- (/ y 500) x) (fma.f64 #s(literal 1/500 binary64) y (neg.f64 x))))
#s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (*.f64 (*.f64 y y) #s(literal 1/250000 binary64)))
(*.f64 (*.f64 y y) #s(literal 1/250000 binary64))
(*.f64 y y)
y
#s(literal 1/250000 binary64)
#s(approx (- (/ y 500) x) (fma.f64 #s(literal 1/500 binary64) y (neg.f64 x)))
(fma.f64 #s(literal 1/500 binary64) y (neg.f64 x))
#s(literal 1/500 binary64)
(neg.f64 x)
x
Outputs
(/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (*.f64 (*.f64 y y) #s(literal 1/250000 binary64))) #s(approx (- (/ y 500) x) (fma.f64 #s(literal 1/500 binary64) y (neg.f64 x))))
(/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (*.f64 #s(literal 1/250000 binary64) (*.f64 y y))) #s(approx (- (/ y 500) x) (fma.f64 #s(literal 1/500 binary64) y (neg.f64 x))))
#s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (*.f64 (*.f64 y y) #s(literal 1/250000 binary64)))
#s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (*.f64 #s(literal 1/250000 binary64) (*.f64 y y)))
(*.f64 (*.f64 y y) #s(literal 1/250000 binary64))
(*.f64 #s(literal 1/250000 binary64) (*.f64 y y))
(*.f64 y y)
y
#s(literal 1/250000 binary64)
#s(approx (- (/ y 500) x) (fma.f64 #s(literal 1/500 binary64) y (neg.f64 x)))
(fma.f64 #s(literal 1/500 binary64) y (neg.f64 x))
#s(literal 1/500 binary64)
(neg.f64 x)
x

localize47.0ms (1.4%)

Memory
-17.6MiB live, 74.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0390625
(fma.f64 #s(literal 1/500 binary64) y (neg.f64 x))
accuracy0.3615768728065394
(*.f64 (*.f64 y y) #s(literal 1/250000 binary64))
accuracy28.340545948018338
#s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (*.f64 (*.f64 y y) #s(literal 1/250000 binary64)))
accuracy28.601405170556347
(/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (*.f64 (*.f64 y y) #s(literal 1/250000 binary64))) #s(approx (- (/ y 500) x) (fma.f64 #s(literal 1/500 binary64) y (neg.f64 x))))
Samples
38.0ms256×0valid
Compiler

Compiled 53 to 20 computations (62.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 8.0ms (31.7% of total)
ival-div: 6.0ms (23.8% of total)
const: 6.0ms (23.8% of total)
ival-add: 2.0ms (7.9% of total)
ival-sub: 1.0ms (4% of total)
ival-neg: 1.0ms (4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
8.0MiB live, 8.0MiB allocated
Counts
5 → 20
Calls
Call 1
Inputs
(/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (*.f64 (*.f64 y y) #s(literal 1/250000 binary64))) #s(approx (- (/ y 500) x) (fma.f64 #s(literal 1/500 binary64) y (neg.f64 x))))
#s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (*.f64 (*.f64 y y) #s(literal 1/250000 binary64)))
(*.f64 (*.f64 y y) #s(literal 1/250000 binary64))
(*.f64 y y)
(fma.f64 #s(literal 1/500 binary64) y (neg.f64 x))
Outputs
(* 1/500 y)
(+ x (* 1/500 y))
(* 1/250000 (pow y 2))
(+ (* -1 (pow x 2)) (* 1/250000 (pow y 2)))
(+ (* -1 x) (* 1/500 y))
x
(* x (+ 1 (* 1/500 (/ y x))))
(* -1 (pow x 2))
(* (pow x 2) (- (* 1/250000 (/ (pow y 2) (pow x 2))) 1))
(* -1 x)
(* x (- (* 1/500 (/ y x)) 1))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (* x (+ 1 (* -1/500 (/ y x)))))
(pow y 2)
(- (* 1/500 y) x)
(* y (+ 1/500 (/ x y)))
(* (pow y 2) (+ 1/250000 (* -1 (/ (pow x 2) (pow y 2)))))
(* y (+ 1/500 (* -1 (/ x y))))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1 (* y (- (/ x y) 1/500)))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
((/ (+ (* y (/ y 250000)) (* (neg x) x)) (- (/ y 500) x)) (+ (* y (/ y 250000)) (* (neg x) x)) (* (* y y) 1/250000) (* y y) (+ (* 1/500 y) (neg x)))
1.0ms
y
@inf
((/ (+ (* y (/ y 250000)) (* (neg x) x)) (- (/ y 500) x)) (+ (* y (/ y 250000)) (* (neg x) x)) (* (* y y) 1/250000) (* y y) (+ (* 1/500 y) (neg x)))
1.0ms
y
@0
((/ (+ (* y (/ y 250000)) (* (neg x) x)) (- (/ y 500) x)) (+ (* y (/ y 250000)) (* (neg x) x)) (* (* y y) 1/250000) (* y y) (+ (* 1/500 y) (neg x)))
1.0ms
x
@inf
((/ (+ (* y (/ y 250000)) (* (neg x) x)) (- (/ y 500) x)) (+ (* y (/ y 250000)) (* (neg x) x)) (* (* y y) 1/250000) (* y y) (+ (* 1/500 y) (neg x)))
1.0ms
x
@0
((/ (+ (* y (/ y 250000)) (* (neg x) x)) (- (/ y 500) x)) (+ (* y (/ y 250000)) (* (neg x) x)) (* (* y y) 1/250000) (* y y) (+ (* 1/500 y) (neg x)))

simplify157.0ms (4.8%)

Memory
-15.4MiB live, 94.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051114
1146108
2404106
31394106
44516106
08312101
Stop Event
iter limit
node limit
Counts
20 → 19
Calls
Call 1
Inputs
(* 1/500 y)
(+ x (* 1/500 y))
(* 1/250000 (pow y 2))
(+ (* -1 (pow x 2)) (* 1/250000 (pow y 2)))
(+ (* -1 x) (* 1/500 y))
x
(* x (+ 1 (* 1/500 (/ y x))))
(* -1 (pow x 2))
(* (pow x 2) (- (* 1/250000 (/ (pow y 2) (pow x 2))) 1))
(* -1 x)
(* x (- (* 1/500 (/ y x)) 1))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(* -1 (* x (+ 1 (* -1/500 (/ y x)))))
(pow y 2)
(- (* 1/500 y) x)
(* y (+ 1/500 (/ x y)))
(* (pow y 2) (+ 1/250000 (* -1 (/ (pow x 2) (pow y 2)))))
(* y (+ 1/500 (* -1 (/ x y))))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(* -1 (* y (- (/ x y) 1/500)))
Outputs
(* 1/500 y)
(*.f64 #s(literal 1/500 binary64) y)
(+ x (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y x)
(* 1/250000 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 1/250000 binary64))
(+ (* -1 (pow x 2)) (* 1/250000 (pow y 2)))
(neg.f64 (fma.f64 x x (*.f64 #s(literal -1/250000 binary64) (*.f64 y y))))
(+ (* -1 x) (* 1/500 y))
(fma.f64 #s(literal 1/500 binary64) y (neg.f64 x))
x
(* x (+ 1 (* 1/500 (/ y x))))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (* 1/250000 (/ (pow y 2) (pow x 2))) 1))
(*.f64 (-.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/250000 binary64) x) x) y) y) #s(literal 1 binary64)) (*.f64 x x))
(* -1 x)
(neg.f64 x)
(* x (- (* 1/500 (/ y x)) 1))
(fma.f64 #s(literal 1/500 binary64) y (neg.f64 x))
(* -1 (* x (- (* -1/500 (/ y x)) 1)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* x (+ 1 (* -1/500 (/ y x)))))
(fma.f64 #s(literal 1/500 binary64) y (neg.f64 x))
(pow y 2)
(*.f64 y y)
(- (* 1/500 y) x)
(fma.f64 #s(literal 1/500 binary64) y (neg.f64 x))
(* y (+ 1/500 (/ x y)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* (pow y 2) (+ 1/250000 (* -1 (/ (pow x 2) (pow y 2)))))
(neg.f64 (fma.f64 x x (*.f64 #s(literal -1/250000 binary64) (*.f64 y y))))
(* y (+ 1/500 (* -1 (/ x y))))
(fma.f64 #s(literal 1/500 binary64) y (neg.f64 x))
(* -1 (* y (- (* -1 (/ x y)) 1/500)))
(fma.f64 #s(literal 1/500 binary64) y x)
(* -1 (* y (- (/ x y) 1/500)))
(fma.f64 #s(literal 1/500 binary64) y (neg.f64 x))

rewrite187.0ms (5.7%)

Memory
4.2MiB live, 184.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02057
02655
19255
258255
3644055
0807155
Stop Event
iter limit
node limit
iter limit
Counts
5 → 108
Calls
Call 1
Inputs
(/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (*.f64 (*.f64 y y) #s(literal 1/250000 binary64))) #s(approx (- (/ y 500) x) (fma.f64 #s(literal 1/500 binary64) y (neg.f64 x))))
#s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (*.f64 (*.f64 y y) #s(literal 1/250000 binary64)))
(*.f64 (*.f64 y y) #s(literal 1/250000 binary64))
(*.f64 y y)
(fma.f64 #s(literal 1/500 binary64) y (neg.f64 x))
Outputs
(/.f64 (neg.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (*.f64 #s(literal 1/250000 binary64) (*.f64 y y)))) (neg.f64 #s(approx (- (/ y 500) x) (fma.f64 #s(literal 1/500 binary64) y (neg.f64 x)))))
(/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (*.f64 #s(literal 1/250000 binary64) (*.f64 y y))) #s(approx (- (/ y 500) x) (fma.f64 #s(literal 1/500 binary64) y (neg.f64 x))))
(neg.f64 (/.f64 (neg.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (*.f64 #s(literal 1/250000 binary64) (*.f64 y y)))) #s(approx (- (/ y 500) x) (fma.f64 #s(literal 1/500 binary64) y (neg.f64 x)))))
#s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (*.f64 #s(literal 1/250000 binary64) (*.f64 y y)))
(neg.f64 (neg.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (*.f64 #s(literal 1/250000 binary64) (*.f64 y y)))))
(*.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 1 binary64)))
(*.f64 (neg.f64 (*.f64 #s(literal -1/500 binary64) y)) (neg.f64 (*.f64 #s(literal -1/500 binary64) y)))
(*.f64 (*.f64 (*.f64 #s(literal 1/500 binary64) y) y) #s(literal 1/500 binary64))
(*.f64 (*.f64 #s(literal 1/250000 binary64) y) y)
(*.f64 (*.f64 (neg.f64 y) #s(literal 1/250000 binary64)) (neg.f64 y))
(*.f64 (*.f64 #s(literal -1/500 binary64) y) (*.f64 #s(literal -1/500 binary64) y))
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) #s(literal 1/250000 binary64)))
(*.f64 (*.f64 #s(literal 1/500 binary64) y) (*.f64 #s(literal 1/500 binary64) y))
(*.f64 #s(literal 1/500 binary64) (*.f64 (*.f64 #s(literal 1/500 binary64) y) y))
(*.f64 #s(literal 1/250000 binary64) (*.f64 y y))
(*.f64 (*.f64 y y) #s(literal 1/250000 binary64))
(*.f64 y (*.f64 #s(literal 1/250000 binary64) y))
(pow.f64 (*.f64 #s(literal -1/500 binary64) y) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal 1/250000 binary64) (*.f64 (neg.f64 y) y)))
(neg.f64 (*.f64 y (*.f64 (neg.f64 y) #s(literal 1/250000 binary64))))
(neg.f64 (*.f64 (*.f64 (neg.f64 y) y) #s(literal 1/250000 binary64)))
(neg.f64 (*.f64 (*.f64 (neg.f64 y) #s(literal 1/250000 binary64)) y))
(neg.f64 (*.f64 (*.f64 #s(literal -1/500 binary64) y) (*.f64 #s(literal 1/500 binary64) y)))
(neg.f64 (*.f64 (*.f64 #s(literal 1/500 binary64) y) (*.f64 #s(literal -1/500 binary64) y)))
(fabs.f64 (*.f64 #s(literal 1/250000 binary64) (*.f64 y y)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/500 binary64) y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/500 binary64) y)) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/500 binary64) y)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/500 binary64) y)) #s(literal 2 binary64))))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 y))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 #s(literal 1/250000 binary64) (*.f64 y y))) (fma.f64 #s(literal 1/125000000 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 1/250000 binary64) (*.f64 y y) (fma.f64 (*.f64 #s(literal -1/500 binary64) y) x (*.f64 x x))))
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(fma.f64 (neg.f64 y) (/.f64 (*.f64 (neg.f64 y) #s(literal 1/250000 binary64)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) (neg.f64 x))) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.f64 #s(literal 1/500 binary64) y) (neg.f64 x))))
(fma.f64 (*.f64 #s(literal 1/500 binary64) y) (/.f64 (*.f64 #s(literal 1/250000 binary64) (*.f64 y y)) (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (fma.f64 (*.f64 #s(literal 1/500 binary64) y) x (*.f64 x x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (fma.f64 (*.f64 #s(literal 1/500 binary64) y) x (*.f64 x x)))))
(fma.f64 (*.f64 #s(literal 1/500 binary64) y) (/.f64 (*.f64 #s(literal 1/500 binary64) y) (-.f64 (*.f64 #s(literal 1/500 binary64) y) (neg.f64 x))) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.f64 #s(literal 1/500 binary64) y) (neg.f64 x))))
(fma.f64 (neg.f64 x) (/.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (fma.f64 (*.f64 #s(literal 1/500 binary64) y) x (*.f64 x x)))) (/.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (fma.f64 (*.f64 #s(literal 1/500 binary64) y) x (*.f64 x x)))))
(fma.f64 #s(literal 1/500 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/500 binary64) y) y) (-.f64 (*.f64 #s(literal 1/500 binary64) y) (neg.f64 x))) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.f64 #s(literal 1/500 binary64) y) (neg.f64 x))))
(fma.f64 #s(literal 1/500 binary64) y (neg.f64 x))
(fma.f64 #s(literal 1/250000 binary64) (/.f64 (*.f64 y y) (-.f64 (*.f64 #s(literal 1/500 binary64) y) (neg.f64 x))) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.f64 #s(literal 1/500 binary64) y) (neg.f64 x))))
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1/250000 binary64) (-.f64 (*.f64 #s(literal 1/500 binary64) y) (neg.f64 x))) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.f64 #s(literal 1/500 binary64) y) (neg.f64 x))))
(fma.f64 y (/.f64 (*.f64 #s(literal 1/250000 binary64) y) (-.f64 (*.f64 #s(literal 1/500 binary64) y) (neg.f64 x))) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.f64 #s(literal 1/500 binary64) y) (neg.f64 x))))
(fma.f64 y #s(literal 1/500 binary64) (neg.f64 x))
(-.f64 (/.f64 (*.f64 x x) (-.f64 (neg.f64 x) (*.f64 #s(literal 1/500 binary64) y))) (/.f64 (*.f64 #s(literal 1/250000 binary64) (*.f64 y y)) (-.f64 (neg.f64 x) (*.f64 #s(literal 1/500 binary64) y))))
(-.f64 (/.f64 (*.f64 #s(literal 1/250000 binary64) (*.f64 y y)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) (neg.f64 x))) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/500 binary64) y) (neg.f64 x))))
(-.f64 (neg.f64 x) (*.f64 #s(literal -1/500 binary64) y))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (fma.f64 (*.f64 #s(literal 1/500 binary64) y) x (*.f64 x x)))) (/.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (fma.f64 (*.f64 #s(literal 1/500 binary64) y) x (*.f64 x x)))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/500 binary64) y) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (fma.f64 (*.f64 #s(literal 1/500 binary64) y) x (*.f64 x x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/250000 binary64) y) y (fma.f64 (*.f64 #s(literal 1/500 binary64) y) x (*.f64 x x)))))
(+.f64 (/.f64 (*.f64 #s(literal 1/250000 binary64) (*.f64 y y)) (-.f64 (*.f64 #s(literal 1/500 binary64) y) (neg.f64 x))) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.f64 #s(literal 1/500 binary64) y) (neg.f64 x))))
(+.f64 (*.f64 #s(literal 1/500 binary64) y) (neg.f64 x))
(+.f64 (neg.f64 x) (*.f64 #s(literal 1/500 binary64) y))

eval16.0ms (0.5%)

Memory
-10.3MiB live, 34.5MiB allocated
Compiler

Compiled 5 227 to 545 computations (89.6% saved)

prune4.0ms (0.1%)

Memory
11.7MiB live, 11.8MiB allocated
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1170117
Fresh000
Picked011
Done033
Total1174121
Accuracy
100.0%
Counts
121 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.2%
(/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (*.f64 (*.f64 y y) #s(literal 1/250000 binary64))) #s(approx (- (/ y 500) x) (fma.f64 #s(literal 1/500 binary64) y (neg.f64 x))))
100.0%
(+.f64 x (/.f64 y #s(literal 500 binary64)))
99.9%
#s(approx (+ x (/ y 500)) (fma.f64 #s(literal 1/500 binary64) y x))
50.4%
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))
Compiler

Compiled 141 to 76 computations (46.1% saved)

regimes11.0ms (0.3%)

Memory
23.8MiB live, 23.8MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))
#s(approx (+ x (/ y 500)) (fma.f64 #s(literal 1/500 binary64) y x))
(+.f64 x (/.f64 y #s(literal 500 binary64)))
(/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (*.f64 (*.f64 y y) #s(literal 1/250000 binary64))) #s(approx (- (/ y 500) x) (fma.f64 #s(literal 1/500 binary64) y (neg.f64 x))))
(/.f64 #s(approx (+ (* y (/ y 250000)) (* (neg x) x)) (*.f64 (*.f64 y y) #s(literal 1/250000 binary64))) (-.f64 (/.f64 y #s(literal 500 binary64)) x))
(/.f64 (fma.f64 y (/.f64 y #s(literal 250000 binary64)) (*.f64 (neg.f64 x) x)) (-.f64 (/.f64 y #s(literal 500 binary64)) x))
Outputs
(+.f64 x (/.f64 y #s(literal 500 binary64)))
Calls

4 calls:

3.0ms
(/.f64 y #s(literal 500 binary64))
3.0ms
(+.f64 x (/.f64 y #s(literal 500 binary64)))
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(+.f64 x (/.f64 y #s(literal 500 binary64)))
100.0%1(/.f64 y #s(literal 500 binary64))
Compiler

Compiled 10 to 13 computations (-30% saved)

regimes8.0ms (0.2%)

Memory
-28.3MiB live, 17.9MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))
#s(approx (+ x (/ y 500)) (fma.f64 #s(literal 1/500 binary64) y x))
Outputs
#s(approx (+ x (/ y 500)) (fma.f64 #s(literal 1/500 binary64) y x))
Calls

4 calls:

3.0ms
(+.f64 x (/.f64 y #s(literal 500 binary64)))
1.0ms
(/.f64 y #s(literal 500 binary64))
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(+.f64 x (/.f64 y #s(literal 500 binary64)))
99.9%1(/.f64 y #s(literal 500 binary64))
Compiler

Compiled 10 to 13 computations (-30% saved)

regimes5.0ms (0.2%)

Memory
24.5MiB live, 24.5MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))
Outputs
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))
Calls

4 calls:

1.0ms
(/.f64 y #s(literal 500 binary64))
1.0ms
(+.f64 x (/.f64 y #s(literal 500 binary64)))
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
50.4%1x
50.4%1y
50.4%1(+.f64 x (/.f64 y #s(literal 500 binary64)))
50.4%1(/.f64 y #s(literal 500 binary64))
Compiler

Compiled 10 to 13 computations (-30% saved)

simplify18.0ms (0.6%)

Memory
-36.7MiB live, 19.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01224
11324
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 x (/.f64 y #s(literal 500 binary64)))
#s(approx (+ x (/ y 500)) (fma.f64 #s(literal 1/500 binary64) y x))
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))
Outputs
(+.f64 x (/.f64 y #s(literal 500 binary64)))
#s(approx (+ x (/ y 500)) (fma.f64 #s(literal 1/500 binary64) y x))
#s(approx (+ x (/ y 500)) (*.f64 #s(literal 1/500 binary64) y))

soundness532.0ms (16.3%)

Memory
2.7MiB live, 139.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02329
16329
213729
334429
483229
5184629
6295929
7363229
8497929
9648529
10680229
11691429
12691429
13691429
14741229
15766129
16771729
17771729
18771729
19771729
20771729
01248924
Stop Event
done
iter limit
node limit
Compiler

Compiled 31 to 21 computations (32.3% saved)

preprocess19.0ms (0.6%)

Memory
39.3MiB live, 39.3MiB allocated
Compiler

Compiled 58 to 36 computations (37.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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