Numeric.LinearAlgebra.Util:formatSparse from hmatrix-0.16.1.5

Time bar (total: 4.7s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze12.0ms (0.2%)

Memory
16.7MiB live, 16.7MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample2.1s (45.1%)

Memory
-6.9MiB live, 735.7MiB allocated
Samples
1.6s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-fabs: 613.0ms (55.8% of total)
ival-div: 352.0ms (32.1% of total)
ival-sub: 125.0ms (11.4% of total)
ival-true: 5.0ms (0.5% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain81.0ms (1.7%)

Memory
23.0MiB live, 144.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-y
00-0-(fabs.f64 (-.f64 x y))
00-0-(fabs.f64 y)
00-0-(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
00-0-(-.f64 x y)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
27.0ms512×0valid
Compiler

Compiled 83 to 34 computations (59% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-fabs: 5.0ms (41.2% of total)
ival-sub: 3.0ms (24.7% of total)
ival-div: 3.0ms (24.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess28.0ms (0.6%)

Memory
5.3MiB live, 43.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01841
14737
29337
317637
425437
530837
634237
735837
836837
937237
1037737
1138337
1238337
067
0107
1147
2217
3297
4487
5957
61497
71727
81867
91987
101987
01987
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Outputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify10.0ms (0.2%)

Memory
-30.8MiB live, 7.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fabs.f64 y)
cost-diff0
(-.f64 x y)
cost-diff0
(fabs.f64 (-.f64 x y))
cost-diff0
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
01018
11418
22118
32918
44818
59518
614918
717218
818618
919818
1019818
019818
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(fabs.f64 (-.f64 x y))
(-.f64 x y)
x
y
(fabs.f64 y)
Outputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(fabs.f64 (-.f64 x y))
(fabs.f64 (-.f64 y x))
(-.f64 x y)
x
y
(fabs.f64 y)

localize17.0ms (0.4%)

Memory
32.1MiB live, 32.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 x y)
accuracy0
(fabs.f64 (-.f64 x y))
accuracy0
(fabs.f64 y)
accuracy0.01171875
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Samples
12.0ms256×0valid
Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (35.1% of total)
ival-fabs: 2.0ms (35.1% of total)
ival-sub: 1.0ms (17.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
-31.9MiB live, 7.0MiB allocated
Counts
4 → 15
Calls
Call 1
Inputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(fabs.f64 (-.f64 x y))
(-.f64 x y)
(fabs.f64 y)
Outputs
(/ (fabs (- x y)) (fabs y))
(fabs (- x y))
(* -1 y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(/ (fabs (neg (+ y (* -1 x)))) (fabs y))
(fabs (neg (+ y (* -1 x))))
(* -1 (* x (- (/ y x) 1)))
(+ x (* -1 y))
(fabs y)
(* y (- (/ x y) 1))
(/ (fabs (+ x (* -1 y))) (fabs y))
(fabs (+ x (* -1 y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
((/ (fabs (- x y)) (fabs y)) (fabs (- x y)) (- x y) (fabs y))
1.0ms
y
@inf
((/ (fabs (- x y)) (fabs y)) (fabs (- x y)) (- x y) (fabs y))
1.0ms
x
@inf
((/ (fabs (- x y)) (fabs y)) (fabs (- x y)) (- x y) (fabs y))
1.0ms
y
@-inf
((/ (fabs (- x y)) (fabs y)) (fabs (- x y)) (- x y) (fabs y))
1.0ms
y
@0
((/ (fabs (- x y)) (fabs y)) (fabs (- x y)) (- x y) (fabs y))

simplify108.0ms (2.3%)

Memory
21.0MiB live, 99.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03156
18056
218756
354556
4162356
5248556
6343956
7498556
8554356
9680456
10777556
0807056
Stop Event
iter limit
node limit
Counts
15 → 14
Calls
Call 1
Inputs
(/ (fabs (- x y)) (fabs y))
(fabs (- x y))
(* -1 y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(/ (fabs (neg (+ y (* -1 x)))) (fabs y))
(fabs (neg (+ y (* -1 x))))
(* -1 (* x (- (/ y x) 1)))
(+ x (* -1 y))
(fabs y)
(* y (- (/ x y) 1))
(/ (fabs (+ x (* -1 y))) (fabs y))
(fabs (+ x (* -1 y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
Outputs
(/ (fabs (- x y)) (fabs y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(/ (fabs (neg (+ y (* -1 x)))) (fabs y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(fabs (neg (+ y (* -1 x))))
(fabs.f64 (-.f64 x y))
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(fabs y)
(fabs.f64 y)
(* y (- (/ x y) 1))
(-.f64 x y)
(/ (fabs (+ x (* -1 y))) (fabs y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 x y))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)

rewrite153.0ms (3.3%)

Memory
17.3MiB live, 246.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0616
01015
14015
225215
3233015
0871215
Stop Event
iter limit
node limit
iter limit
Counts
4 → 385
Calls
Call 1
Inputs
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(fabs.f64 (-.f64 x y))
(-.f64 x y)
(fabs.f64 y)
Outputs
(*.f64 (fabs.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) #s(literal -1 binary64))) (fabs.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) y)))
(*.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (fabs.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) y)))
(*.f64 (fabs.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (fabs.f64 (*.f64 y (-.f64 y x))))
(*.f64 (fabs.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))))) (fabs.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))))
(*.f64 (fabs.f64 (/.f64 (+.f64 y x) y)) (fabs.f64 (/.f64 (-.f64 x y) (+.f64 y x))))
(*.f64 (fabs.f64 (/.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) y)) (fabs.f64 (/.f64 (-.f64 x y) (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(*.f64 (pow.f64 (fabs.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 x x)))) #s(literal -1 binary64)) (fabs.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64))))
(*.f64 (pow.f64 (fabs.f64 (/.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) #s(literal -1 binary64)) (fabs.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 (-.f64 y x))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fabs.f64 y)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 (-.f64 y x)))) (/.f64 #s(literal -1 binary64) (fabs.f64 y)))
(*.f64 (pow.f64 (fabs.f64 (/.f64 y (-.f64 y x))) #s(literal -1/2 binary64)) (pow.f64 (fabs.f64 (/.f64 y (-.f64 y x))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 y)) (pow.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 (-.f64 y x))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 y)) (neg.f64 (fabs.f64 (-.f64 y x))))
(*.f64 (fabs.f64 (+.f64 y x)) (fabs.f64 (/.f64 (-.f64 x y) (*.f64 (+.f64 y x) y))))
(*.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))) (fabs.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (neg.f64 y))))
(*.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))) (fabs.f64 (pow.f64 (*.f64 (+.f64 y x) y) #s(literal -1 binary64))))
(*.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))) (fabs.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) y)))
(*.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))) (fabs.f64 (/.f64 (-.f64 x y) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) y))))
(*.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fabs.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 y))))
(*.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fabs.f64 (pow.f64 (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) y) #s(literal -1 binary64))))
(*.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fabs.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) y)))
(*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 (/.f64 (-.f64 y x) y))))
(*.f64 (pow.f64 (fabs.f64 y) #s(literal -1 binary64)) (pow.f64 (/.f64 (fabs.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fabs.f64 y) #s(literal -1 binary64)) (fabs.f64 (-.f64 y x)))
(*.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (-.f64 y x) y)))
(*.f64 (neg.f64 (fabs.f64 (-.f64 y x))) (/.f64 #s(literal -1 binary64) (fabs.f64 y)))
(*.f64 (fabs.f64 (/.f64 (-.f64 y x) y)) #s(literal 1 binary64))
(*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y)))
(*.f64 (fabs.f64 (-.f64 y x)) (pow.f64 (fabs.f64 y) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 (fabs.f64 (/.f64 y (-.f64 y x))))) #s(literal -1 binary64))
(pow.f64 (*.f64 (fabs.f64 (/.f64 y (-.f64 y x))) (fabs.f64 (/.f64 y (-.f64 y x)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (fabs.f64 (/.f64 y (-.f64 y x))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (/.f64 y (-.f64 y x))) #s(literal -1 binary64))
(pow.f64 (fabs.f64 (/.f64 (-.f64 y x) y)) #s(literal 1 binary64))
(/.f64 (neg.f64 (/.f64 (fabs.f64 (-.f64 y x)) #s(literal 1 binary64))) (neg.f64 (fabs.f64 y)))
(/.f64 (neg.f64 (*.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))) (pow.f64 (fabs.f64 y) #s(literal -1 binary64)))) (neg.f64 (fabs.f64 (+.f64 y x))))
(/.f64 (neg.f64 (*.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fabs.f64 y) #s(literal -1 binary64)))) (neg.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (fabs.f64 y) #s(literal -1 binary64)) (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))))) (neg.f64 (fabs.f64 (+.f64 y x))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (fabs.f64 y) #s(literal -1 binary64)) (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (neg.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (fabs.f64 (-.f64 y x))) #s(literal 1 binary64))) (fabs.f64 y))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 (-.f64 y x))))) (fabs.f64 y))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))))) (neg.f64 (*.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 (+.f64 y x)))))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (neg.f64 (*.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))))
(/.f64 (neg.f64 (*.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))) #s(literal -1 binary64))) (neg.f64 (*.f64 (fabs.f64 (+.f64 y x)) (neg.f64 (fabs.f64 y)))))
(/.f64 (neg.f64 (*.f64 (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))) #s(literal 1 binary64))) (neg.f64 (fabs.f64 (*.f64 (+.f64 y x) y))))
(/.f64 (neg.f64 (*.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))) (neg.f64 (*.f64 (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))) (neg.f64 (fabs.f64 y)))))
(/.f64 (neg.f64 (*.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64))) (neg.f64 (fabs.f64 (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) y))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fabs.f64 y)) (*.f64 (neg.f64 (fabs.f64 y)) (/.f64 (fabs.f64 (-.f64 y x)) #s(literal -1 binary64)))) (*.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 (+.f64 y x)))) (*.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 (fma.f64 (neg.f64 y) y (*.f64 x x))))) (*.f64 (neg.f64 (fabs.f64 y)) (*.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 (+.f64 y x)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))) (*.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (neg.f64 (fabs.f64 y)) (*.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (fabs.f64 (/.f64 y (-.f64 y x))))) (*.f64 (neg.f64 (fabs.f64 y)) #s(literal 1 binary64))) (*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 (/.f64 y (-.f64 y x))))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fabs.f64 y)) (*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 (-.f64 y x))))) (*.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (fabs.f64 y))) (*.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 (-.f64 y x)))) (*.f64 y y))
(/.f64 (fabs.f64 (/.f64 (-.f64 y x) #s(literal 1 binary64))) (fabs.f64 y))
(/.f64 (fabs.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) y)) (fabs.f64 (+.f64 y x)))
(/.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) y)) (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))
(/.f64 (fabs.f64 (/.f64 (-.f64 y x) #s(literal -1 binary64))) (fabs.f64 y))
(/.f64 (fabs.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (pow.f64 y #s(literal -1 binary64)))) (fabs.f64 (+.f64 y x)))
(/.f64 (fabs.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64)))) (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))
(/.f64 (fabs.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (pow.f64 y #s(literal -1 binary64)))) (fabs.f64 (+.f64 y x)))
(/.f64 (fabs.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64)))) (fabs.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))
(/.f64 (fabs.f64 (*.f64 (-.f64 x y) #s(literal 1 binary64))) (fabs.f64 y))
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(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (+.f64 y x) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (+.f64 y x) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64))))) (/.f64 (pow.f64 y #s(literal 9 binary64)) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (neg.f64 y) x)) (/.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) (-.f64 (neg.f64 y) x)))
(-.f64 (/.f64 (*.f64 y y) (-.f64 (neg.f64 y) x)) (/.f64 (*.f64 x x) (-.f64 (neg.f64 y) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 y x))) (-.f64 y x))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) (neg.f64 (neg.f64 (+.f64 y x)))) (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) (neg.f64 (neg.f64 (+.f64 y x)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (neg.f64 (+.f64 y x)))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (neg.f64 (+.f64 y x)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) (+.f64 y x)) (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) (+.f64 y x)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 y x)) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 y x)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) x)))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) x)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) x)))) (/.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) x)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) x)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 (neg.f64 y) x)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))) (/.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(-.f64 (/.f64 (*.f64 x x) (neg.f64 (neg.f64 (+.f64 y x)))) (*.f64 y (/.f64 y (+.f64 y x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))) (-.f64 y x))
(-.f64 (+.f64 x #s(literal 0 binary64)) y)
(-.f64 (/.f64 (*.f64 y y) (neg.f64 (+.f64 y x))) (/.f64 (*.f64 x x) (neg.f64 (+.f64 y x))))
(-.f64 (*.f64 x (/.f64 x (+.f64 y x))) (*.f64 y (/.f64 y (+.f64 y x))))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))))
(-.f64 #s(literal 0 binary64) (-.f64 y x))
(-.f64 x y)
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (neg.f64 (neg.f64 x)) (neg.f64 y))
(+.f64 (*.f64 x (/.f64 x (+.f64 y x))) (neg.f64 (*.f64 y (/.f64 y (+.f64 y x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) y (*.f64 x x)))))
(+.f64 (neg.f64 y) (neg.f64 (neg.f64 x)))
(+.f64 (neg.f64 y) x)
(+.f64 x (neg.f64 y))
(*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 y)))
(*.f64 #s(literal 1 binary64) (fabs.f64 y))
(*.f64 (fabs.f64 y) #s(literal 1 binary64))
(pow.f64 (pow.f64 (fabs.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (fabs.f64 y) #s(literal 1 binary64))
(/.f64 (fabs.f64 (pow.f64 y #s(literal 3 binary64))) (fabs.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fabs.f64 y)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 y) #s(literal -1 binary64)))
(/.f64 (*.f64 y y) (fabs.f64 (+.f64 #s(literal 0 binary64) y)))
(/.f64 (neg.f64 (fabs.f64 y)) #s(literal -1 binary64))
(/.f64 (fabs.f64 y) #s(literal 1 binary64))
(neg.f64 (neg.f64 (fabs.f64 y)))
(-.f64 #s(literal 0 binary64) (neg.f64 (fabs.f64 y)))
(fabs.f64 (-.f64 (neg.f64 y) #s(literal 0 binary64)))
(fabs.f64 (neg.f64 (-.f64 y #s(literal 0 binary64))))
(fabs.f64 (-.f64 y #s(literal 0 binary64)))
(fabs.f64 (neg.f64 y))
(fabs.f64 y)
(exp.f64 (neg.f64 (*.f64 (log.f64 (fabs.f64 y)) #s(literal -1 binary64))))

eval71.0ms (1.5%)

Memory
-39.4MiB live, 134.9MiB allocated
Compiler

Compiled 9 465 to 1 511 computations (84% saved)

prune5.0ms (0.1%)

Memory
19.6MiB live, 19.6MiB allocated
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New3864390
Fresh000
Picked101
Done000
Total3874391
Accuracy
100.0%
Counts
391 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.9%
(/.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (fabs.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64))))
50.9%
(/.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) (fabs.f64 y))
99.8%
(*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y)))
100.0%
(fabs.f64 (/.f64 (-.f64 y x) y))
Compiler

Compiled 40 to 32 computations (20% saved)

simplify127.0ms (2.7%)

Memory
-20.0MiB live, 101.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
cost-diff0
(-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
cost-diff0
(fabs.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))
cost-diff8192
(/.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (fabs.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64))))
cost-diff0
(neg.f64 y)
cost-diff0
#s(approx (- x y) (neg.f64 y))
cost-diff0
(fabs.f64 #s(approx (- x y) (neg.f64 y)))
cost-diff0
(/.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) (fabs.f64 y))
cost-diff0
(fabs.f64 (/.f64 #s(literal -1 binary64) y))
cost-diff0
(-.f64 y x)
cost-diff0
(fabs.f64 (-.f64 y x))
cost-diff448
(*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y)))
cost-diff0
(-.f64 y x)
cost-diff0
(/.f64 (-.f64 y x) y)
cost-diff0
(fabs.f64 (/.f64 (-.f64 y x) y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025123
043111
163111
293111
3131111
4258111
5528111
61064111
72911111
84456111
96076111
107320111
08060111
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fabs.f64 (/.f64 (-.f64 y x) y))
(/.f64 (-.f64 y x) y)
(-.f64 y x)
y
x
(*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y)))
(fabs.f64 (-.f64 y x))
(-.f64 y x)
y
x
(fabs.f64 (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
(/.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) (fabs.f64 y))
(fabs.f64 #s(approx (- x y) (neg.f64 y)))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
y
(fabs.f64 y)
(/.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (fabs.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(fabs.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 x y)
x
y
#s(literal 2 binary64)
#s(literal 1 binary64)
(fabs.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
Outputs
(fabs.f64 (/.f64 (-.f64 y x) y))
(fabs.f64 (/.f64 (-.f64 x y) y))
(/.f64 (-.f64 y x) y)
(-.f64 y x)
y
x
(*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y)))
(fabs.f64 (/.f64 (-.f64 x y) y))
(fabs.f64 (-.f64 y x))
(fabs.f64 (-.f64 x y))
(-.f64 y x)
y
x
(fabs.f64 (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal 1 binary64) (fabs.f64 y))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
(/.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) (fabs.f64 y))
(fabs.f64 #s(approx (- x y) (neg.f64 y)))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
y
(fabs.f64 y)
(/.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (fabs.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(fabs.f64 (/.f64 (-.f64 x y) y))
(fabs.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))
(-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 x y)
x
y
#s(literal 2 binary64)
#s(literal 1 binary64)
(fabs.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)))
(fabs.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(-.f64 (/.f64 x y) #s(literal -1 binary64))

localize165.0ms (3.5%)

Memory
20.1MiB live, 100.4MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0
(fabs.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)))
accuracy0.00390625
(-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
accuracy0.22265625
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
accuracy17.633609547727563
(/.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (fabs.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64))))
accuracy0
(fabs.f64 #s(approx (- x y) (neg.f64 y)))
accuracy0
(fabs.f64 y)
accuracy0.01171875
(/.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) (fabs.f64 y))
accuracy31.974292965917595
#s(approx (- x y) (neg.f64 y))
accuracy0
(-.f64 y x)
accuracy0
(fabs.f64 (/.f64 #s(literal -1 binary64) y))
accuracy0
(fabs.f64 (-.f64 y x))
accuracy0.11328125
(*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y)))
accuracy0
(-.f64 y x)
accuracy0
(fabs.f64 (/.f64 (-.f64 y x) y))
accuracy0.01171875
(/.f64 (-.f64 y x) y)
Samples
127.0ms256×0valid
Compiler

Compiled 239 to 51 computations (78.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 113.0ms
ival-fabs: 95.0ms (83.8% of total)
ival-div: 8.0ms (7.1% of total)
ival-sub: 4.0ms (3.5% of total)
ival-pow2: 2.0ms (1.8% of total)
ival-add: 1.0ms (0.9% of total)
ival-mult: 1.0ms (0.9% of total)
ival-neg: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series21.0ms (0.4%)

Memory
-7.3MiB live, 30.5MiB allocated
Counts
16 → 49
Calls
Call 1
Inputs
(fabs.f64 (/.f64 (-.f64 y x) y))
(/.f64 (-.f64 y x) y)
(-.f64 y x)
(*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y)))
(fabs.f64 (-.f64 y x))
(fabs.f64 (/.f64 #s(literal -1 binary64) y))
(/.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) (fabs.f64 y))
(fabs.f64 #s(approx (- x y) (neg.f64 y)))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
(/.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (fabs.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(fabs.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
(fabs.f64 y)
(fabs.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)))
Outputs
(fabs (/ (- y x) y))
1
(+ 1 (* -1 (/ x y)))
y
(+ y (* -1 x))
(* (fabs (- y x)) (fabs (/ -1 y)))
(fabs (- y x))
(/ (fabs (- x y)) (fabs y))
(fabs (- x y))
(* -1 y)
(- x y)
(/ (fabs (- (/ (pow x 2) (pow y 2)) 1)) (fabs (+ 1 (/ x y))))
(fabs (- (/ (pow x 2) (pow y 2)) 1))
-1
(- (/ (pow x 2) (pow y 2)) 1)
(/ (pow x 2) (pow y 2))
(fabs (+ 1 (/ x y)))
(* -1 (/ x y))
(* x (- (/ 1 x) (/ 1 y)))
(* -1 x)
(* x (- (/ y x) 1))
x
(* x (+ 1 (* -1 (/ y x))))
(* (pow x 2) (- (/ 1 (pow y 2)) (/ 1 (pow x 2))))
(fabs (/ (+ y (* -1 x)) y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* (fabs (+ y (* -1 x))) (fabs (/ -1 y)))
(fabs (+ y (* -1 x)))
(/ (fabs (neg (+ y (* -1 x)))) (fabs y))
(fabs (neg (+ y (* -1 x))))
(* -1 (* x (- (/ y x) 1)))
(/ (fabs (- (/ (pow x 2) (pow y 2)) 1)) (fabs (- 1 (* -1 (/ x y)))))
(fabs (- 1 (* -1 (/ x y))))
(/ (+ y (* -1 x)) y)
(- y x)
(fabs (/ -1 y))
(+ x (* -1 y))
(/ (+ (* -1 (pow y 2)) (pow x 2)) (pow y 2))
(fabs y)
(* y (+ 1 (* -1 (/ x y))))
(* y (- (/ x y) 1))
(fabs (* -1 (/ (+ x (* -1 y)) y)))
(* -1 (* y (- (/ x y) 1)))
(* (fabs (neg (+ x (* -1 y)))) (fabs (/ -1 y)))
(fabs (neg (+ x (* -1 y))))
(/ (fabs (+ x (* -1 y))) (fabs y))
(fabs (+ x (* -1 y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
Calls

6 calls:

TimeVariablePointExpression
7.0ms
x
@-inf
((fabs (/ (- y x) y)) (/ (- y x) y) (- y x) (* (fabs (- y x)) (fabs (/ -1 y))) (fabs (- y x)) (fabs (/ -1 y)) (/ (fabs (- x y)) (fabs y)) (fabs (- x y)) (- x y) (neg y) (/ (fabs (- (pow (/ x y) 2) 1)) (fabs (+ (/ x y) 1))) (fabs (- (pow (/ x y) 2) 1)) (- (pow (/ x y) 2) 1) (pow (/ x y) 2) (fabs y) (fabs (+ (/ x y) 1)))
3.0ms
y
@0
((fabs (/ (- y x) y)) (/ (- y x) y) (- y x) (* (fabs (- y x)) (fabs (/ -1 y))) (fabs (- y x)) (fabs (/ -1 y)) (/ (fabs (- x y)) (fabs y)) (fabs (- x y)) (- x y) (neg y) (/ (fabs (- (pow (/ x y) 2) 1)) (fabs (+ (/ x y) 1))) (fabs (- (pow (/ x y) 2) 1)) (- (pow (/ x y) 2) 1) (pow (/ x y) 2) (fabs y) (fabs (+ (/ x y) 1)))
3.0ms
x
@0
((fabs (/ (- y x) y)) (/ (- y x) y) (- y x) (* (fabs (- y x)) (fabs (/ -1 y))) (fabs (- y x)) (fabs (/ -1 y)) (/ (fabs (- x y)) (fabs y)) (fabs (- x y)) (- x y) (neg y) (/ (fabs (- (pow (/ x y) 2) 1)) (fabs (+ (/ x y) 1))) (fabs (- (pow (/ x y) 2) 1)) (- (pow (/ x y) 2) 1) (pow (/ x y) 2) (fabs y) (fabs (+ (/ x y) 1)))
2.0ms
x
@inf
((fabs (/ (- y x) y)) (/ (- y x) y) (- y x) (* (fabs (- y x)) (fabs (/ -1 y))) (fabs (- y x)) (fabs (/ -1 y)) (/ (fabs (- x y)) (fabs y)) (fabs (- x y)) (- x y) (neg y) (/ (fabs (- (pow (/ x y) 2) 1)) (fabs (+ (/ x y) 1))) (fabs (- (pow (/ x y) 2) 1)) (- (pow (/ x y) 2) 1) (pow (/ x y) 2) (fabs y) (fabs (+ (/ x y) 1)))
2.0ms
y
@inf
((fabs (/ (- y x) y)) (/ (- y x) y) (- y x) (* (fabs (- y x)) (fabs (/ -1 y))) (fabs (- y x)) (fabs (/ -1 y)) (/ (fabs (- x y)) (fabs y)) (fabs (- x y)) (- x y) (neg y) (/ (fabs (- (pow (/ x y) 2) 1)) (fabs (+ (/ x y) 1))) (fabs (- (pow (/ x y) 2) 1)) (- (pow (/ x y) 2) 1) (pow (/ x y) 2) (fabs y) (fabs (+ (/ x y) 1)))

simplify118.0ms (2.5%)

Memory
19.0MiB live, 141.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076246
1175242
2426242
31249242
43030242
55464242
67201242
08196236
Stop Event
iter limit
node limit
Counts
49 → 47
Calls
Call 1
Inputs
(fabs (/ (- y x) y))
1
(+ 1 (* -1 (/ x y)))
y
(+ y (* -1 x))
(* (fabs (- y x)) (fabs (/ -1 y)))
(fabs (- y x))
(/ (fabs (- x y)) (fabs y))
(fabs (- x y))
(* -1 y)
(- x y)
(/ (fabs (- (/ (pow x 2) (pow y 2)) 1)) (fabs (+ 1 (/ x y))))
(fabs (- (/ (pow x 2) (pow y 2)) 1))
-1
(- (/ (pow x 2) (pow y 2)) 1)
(/ (pow x 2) (pow y 2))
(fabs (+ 1 (/ x y)))
(* -1 (/ x y))
(* x (- (/ 1 x) (/ 1 y)))
(* -1 x)
(* x (- (/ y x) 1))
x
(* x (+ 1 (* -1 (/ y x))))
(* (pow x 2) (- (/ 1 (pow y 2)) (/ 1 (pow x 2))))
(fabs (/ (+ y (* -1 x)) y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* (fabs (+ y (* -1 x))) (fabs (/ -1 y)))
(fabs (+ y (* -1 x)))
(/ (fabs (neg (+ y (* -1 x)))) (fabs y))
(fabs (neg (+ y (* -1 x))))
(* -1 (* x (- (/ y x) 1)))
(/ (fabs (- (/ (pow x 2) (pow y 2)) 1)) (fabs (- 1 (* -1 (/ x y)))))
(fabs (- 1 (* -1 (/ x y))))
(/ (+ y (* -1 x)) y)
(- y x)
(fabs (/ -1 y))
(+ x (* -1 y))
(/ (+ (* -1 (pow y 2)) (pow x 2)) (pow y 2))
(fabs y)
(* y (+ 1 (* -1 (/ x y))))
(* y (- (/ x y) 1))
(fabs (* -1 (/ (+ x (* -1 y)) y)))
(* -1 (* y (- (/ x y) 1)))
(* (fabs (neg (+ x (* -1 y)))) (fabs (/ -1 y)))
(fabs (neg (+ x (* -1 y))))
(/ (fabs (+ x (* -1 y))) (fabs y))
(fabs (+ x (* -1 y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
Outputs
(fabs (/ (- y x) y))
(fabs.f64 (/.f64 (-.f64 x y) y))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
y
(+ y (* -1 x))
(-.f64 y x)
(* (fabs (- y x)) (fabs (/ -1 y)))
(fabs.f64 (/.f64 (-.f64 x y) y))
(fabs (- y x))
(fabs.f64 (-.f64 x y))
(/ (fabs (- x y)) (fabs y))
(fabs.f64 (/.f64 (-.f64 x y) y))
(fabs (- x y))
(fabs.f64 (-.f64 x y))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(/ (fabs (- (/ (pow x 2) (pow y 2)) 1)) (fabs (+ 1 (/ x y))))
(/.f64 (fabs.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64))) (fabs.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y))))
(fabs (- (/ (pow x 2) (pow y 2)) 1))
(fabs.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- (/ (pow x 2) (pow y 2)) 1)
(fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64))
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(fabs (+ 1 (/ x y)))
(fabs.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* x (- (/ 1 x) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 x)
(neg.f64 x)
(* x (- (/ y x) 1))
(-.f64 y x)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* (pow x 2) (- (/ 1 (pow y 2)) (/ 1 (pow x 2))))
(fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64))
(fabs (/ (+ y (* -1 x)) y))
(fabs.f64 (/.f64 (-.f64 x y) y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(* (fabs (+ y (* -1 x))) (fabs (/ -1 y)))
(fabs.f64 (/.f64 (-.f64 x y) y))
(fabs (+ y (* -1 x)))
(fabs.f64 (-.f64 x y))
(/ (fabs (neg (+ y (* -1 x)))) (fabs y))
(fabs.f64 (/.f64 (-.f64 x y) y))
(fabs (neg (+ y (* -1 x))))
(fabs.f64 (-.f64 x y))
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(/ (fabs (- (/ (pow x 2) (pow y 2)) 1)) (fabs (- 1 (* -1 (/ x y)))))
(/.f64 (fabs.f64 (fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64))) (fabs.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y))))
(fabs (- 1 (* -1 (/ x y))))
(fabs.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(/ (+ y (* -1 x)) y)
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(- y x)
(-.f64 y x)
(fabs (/ -1 y))
(/.f64 #s(literal 1 binary64) (fabs.f64 y))
(+ x (* -1 y))
(-.f64 x y)
(/ (+ (* -1 (pow y 2)) (pow x 2)) (pow y 2))
(fma.f64 (/.f64 x y) (/.f64 x y) #s(literal -1 binary64))
(fabs y)
(fabs.f64 y)
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(* y (- (/ x y) 1))
(-.f64 x y)
(fabs (* -1 (/ (+ x (* -1 y)) y)))
(fabs.f64 (/.f64 (-.f64 x y) y))
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
(* (fabs (neg (+ x (* -1 y)))) (fabs (/ -1 y)))
(fabs.f64 (/.f64 (-.f64 x y) y))
(fabs (neg (+ x (* -1 y))))
(fabs.f64 (-.f64 x y))
(/ (fabs (+ x (* -1 y))) (fabs y))
(fabs.f64 (/.f64 (-.f64 x y) y))
(fabs (+ x (* -1 y)))
(fabs.f64 (-.f64 x y))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)

rewrite348.0ms (7.4%)

Memory
-26.7MiB live, 169.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02599
04386
115686
2104186
0846686
Stop Event
iter limit
node limit
iter limit
Counts
16 → 757
Calls
Call 1
Inputs
(fabs.f64 (/.f64 (-.f64 y x) y))
(/.f64 (-.f64 y x) y)
(-.f64 y x)
(*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y)))
(fabs.f64 (-.f64 y x))
(fabs.f64 (/.f64 #s(literal -1 binary64) y))
(/.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) (fabs.f64 y))
(fabs.f64 #s(approx (- x y) (neg.f64 y)))
#s(approx (- x y) (neg.f64 y))
(neg.f64 y)
(/.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (fabs.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(fabs.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
(fabs.f64 y)
(fabs.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)))
Outputs
(*.f64 (/.f64 (fabs.f64 (-.f64 x y)) #s(literal 1 binary64)) (pow.f64 (fabs.f64 y) #s(literal -1 binary64)))
(*.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (fabs.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 x y))))
(*.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))) (fabs.f64 (/.f64 (-.f64 x y) y)))
(*.f64 (fabs.f64 (*.f64 (-.f64 y x) #s(literal -1 binary64))) (pow.f64 (fabs.f64 y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fabs.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fabs.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal -1 binary64)) (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
(*.f64 (neg.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) (pow.f64 (neg.f64 (fabs.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)))) #s(literal -1 binary64)))
(*.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (fabs.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal -1 binary64))))
(*.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (pow.f64 (fabs.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (-.f64 x y) y)))
(*.f64 (pow.f64 (fabs.f64 y) #s(literal -1 binary64)) (fabs.f64 (-.f64 x y)))
(*.f64 (fabs.f64 (-.f64 x y)) (pow.f64 (fabs.f64 y) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fabs.f64 (/.f64 y (-.f64 x y))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (fabs.f64 (/.f64 y (-.f64 x y))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1 binary64))) (neg.f64 (fabs.f64 y)))
(/.f64 (neg.f64 (*.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) #s(literal 1 binary64))) (neg.f64 (fabs.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))))) (neg.f64 (neg.f64 (neg.f64 (fabs.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)))))))
(/.f64 (neg.f64 (neg.f64 (fabs.f64 (-.f64 x y)))) (neg.f64 (neg.f64 (fabs.f64 y))))
(/.f64 (fabs.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal -1 binary64) y))) (fabs.f64 (+.f64 x y)))
(/.f64 (fabs.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) y))) (fabs.f64 (fma.f64 x (+.f64 x y) (*.f64 y y))))
(/.f64 (fabs.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) #s(literal -1 binary64))) (fabs.f64 (*.f64 (+.f64 x y) y)))
(/.f64 (fabs.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) (fabs.f64 (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) y)))
(/.f64 (fabs.f64 (/.f64 (neg.f64 (-.f64 y x)) #s(literal -1 binary64))) (fabs.f64 y))
(/.f64 (fabs.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (pow.f64 y #s(literal -1 binary64)))) (fabs.f64 (+.f64 x y)))
(/.f64 (fabs.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64)))) (fabs.f64 (fma.f64 x (+.f64 x y) (*.f64 y y))))
(/.f64 (fabs.f64 (*.f64 (-.f64 y x) #s(literal 1 binary64))) (fabs.f64 y))
(/.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (fabs.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y)))))
(/.f64 (fabs.f64 (-.f64 (*.f64 y y) (*.f64 x y))) (fabs.f64 (*.f64 y y)))
(/.f64 (fabs.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) #s(literal 1 binary64))) (fabs.f64 (*.f64 (+.f64 x y) (neg.f64 y))))
(/.f64 (fabs.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) #s(literal 1 binary64))) (fabs.f64 (*.f64 (+.f64 x y) y)))
(/.f64 (fabs.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (fabs.f64 (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (neg.f64 y))))
(/.f64 (fabs.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (fabs.f64 (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) y)))
(/.f64 (fabs.f64 (-.f64 (*.f64 y (neg.f64 y)) (*.f64 y (neg.f64 x)))) (fabs.f64 (*.f64 y (neg.f64 y))))
(/.f64 (fabs.f64 (-.f64 (*.f64 y (/.f64 y x)) (*.f64 y #s(literal 1 binary64)))) (fabs.f64 (*.f64 y (/.f64 y x))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fabs.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(/.f64 (fabs.f64 (*.f64 (-.f64 y x) #s(literal -1 binary64))) (fabs.f64 y))
(/.f64 (*.f64 (fabs.f64 (-.f64 x y)) #s(literal 1 binary64)) (fabs.f64 y))
(/.f64 (*.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) #s(literal 1 binary64)) (fabs.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(/.f64 (neg.f64 (neg.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))) (neg.f64 (neg.f64 (fabs.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))))))
(/.f64 (neg.f64 (fabs.f64 (-.f64 x y))) (neg.f64 (fabs.f64 y)))
(/.f64 (fabs.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (fabs.f64 (*.f64 y (+.f64 x y))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fabs.f64 (*.f64 y (fma.f64 x (+.f64 x y) (*.f64 y y)))))
(/.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 4 binary64)))) (fabs.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))))
(/.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))) (fabs.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) (neg.f64 (fabs.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(/.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (fabs.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fabs.f64 (/.f64 y (-.f64 x y))))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (/.f64 y (-.f64 y x)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (/.f64 y (-.f64 x y))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 x y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fabs.f64 (/.f64 y (-.f64 x y))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 (/.f64 y (-.f64 x y)))))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (fabs.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)))) (fabs.f64 (/.f64 (-.f64 x y) y))))
(neg.f64 (/.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (neg.f64 (fabs.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fabs.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))))) (/.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (neg.f64 (fabs.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))))))
(fabs.f64 (-.f64 (/.f64 (-.f64 y x) y) #s(literal 0 binary64)))
(fabs.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(fabs.f64 (/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(fabs.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))))))
(fabs.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y))))))
(fabs.f64 (/.f64 (neg.f64 (neg.f64 (-.f64 y x))) (-.f64 y #s(literal 0 binary64))))
(fabs.f64 (/.f64 (neg.f64 (neg.f64 (-.f64 y x))) y))
(fabs.f64 (/.f64 (neg.f64 (-.f64 x y)) (-.f64 y #s(literal 0 binary64))))
(fabs.f64 (/.f64 (neg.f64 (-.f64 x y)) y))
(fabs.f64 (/.f64 (neg.f64 (-.f64 y x)) (-.f64 y #s(literal 0 binary64))))
(fabs.f64 (/.f64 (-.f64 x y) (-.f64 y #s(literal 0 binary64))))
(fabs.f64 (/.f64 (-.f64 x y) (neg.f64 (neg.f64 y))))
(fabs.f64 (/.f64 (-.f64 y x) (-.f64 y #s(literal 0 binary64))))
(fabs.f64 (/.f64 (-.f64 y x) (neg.f64 (neg.f64 y))))
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eval200.0ms (4.3%)

Memory
-3.8MiB live, 153.4MiB allocated
Compiler

Compiled 11 514 to 1 965 computations (82.9% saved)

prune8.0ms (0.2%)

Memory
29.9MiB live, 29.9MiB allocated
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New5973600
Fresh000
Picked404
Done000
Total6013604
Accuracy
100.0%
Counts
604 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.2%
(fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))
100.0%
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
50.9%
(fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64)))
Compiler

Compiled 23 to 20 computations (13% saved)

simplify26.0ms (0.6%)

Memory
-16.5MiB live, 21.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 x)
cost-diff0
#s(approx (- y x) (neg.f64 x))
cost-diff0
(/.f64 #s(approx (- y x) (neg.f64 x)) y)
cost-diff0
(fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))
cost-diff0
(/.f64 x y)
cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 x y))
cost-diff0
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
cost-diff0
#s(approx (/ (- y x) y) #s(literal 1 binary64))
cost-diff0
(fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01460
02160
13660
25160
37360
410860
513960
619260
735360
868560
980860
1086660
1188460
1290560
1391360
091360
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64)))
#s(approx (/ (- y x) y) #s(literal 1 binary64))
#s(literal 1 binary64)
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
#s(literal 1 binary64)
(/.f64 x y)
x
y
(fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))
(/.f64 #s(approx (- y x) (neg.f64 x)) y)
#s(approx (- y x) (neg.f64 x))
(neg.f64 x)
x
y
Outputs
(fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64)))
#s(approx (/ (- y x) y) #s(literal 1 binary64))
#s(literal 1 binary64)
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(fabs.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 (-.f64 y x) y)
#s(literal 1 binary64)
(/.f64 x y)
x
y
(fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))
(/.f64 #s(approx (- y x) (neg.f64 x)) y)
#s(approx (- y x) (neg.f64 x))
(neg.f64 x)
x
y

localize32.0ms (0.7%)

Memory
1.3MiB live, 39.6MiB allocated
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
accuracy0
(neg.f64 x)
accuracy0
(fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))
accuracy0.01171875
(/.f64 #s(approx (- y x) (neg.f64 x)) y)
accuracy31.14699132872777
#s(approx (- y x) (neg.f64 x))
accuracy0
(/.f64 x y)
accuracy0
(-.f64 #s(literal 1 binary64) (/.f64 x y))
accuracy0
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
accuracy0
(fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64)))
accuracy32.121372339103644
#s(approx (/ (- y x) y) #s(literal 1 binary64))
Samples
22.0ms256×0valid
Compiler

Compiled 109 to 26 computations (76.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 4.0ms (37.5% of total)
ival-sub: 3.0ms (28.1% of total)
ival-fabs: 3.0ms (28.1% of total)
ival-neg: 1.0ms (9.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
5.7MiB live, 5.7MiB allocated
Counts
9 → 21
Calls
Call 1
Inputs
(fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64)))
#s(approx (/ (- y x) y) #s(literal 1 binary64))
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 x y)
(fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))
(/.f64 #s(approx (- y x) (neg.f64 x)) y)
#s(approx (- y x) (neg.f64 x))
(neg.f64 x)
Outputs
(fabs (/ (- y x) y))
1
(+ 1 (* -1 (/ x y)))
(fabs (- 1 (/ x y)))
(/ x y)
y
(+ y (* -1 x))
(* -1 x)
(* -1 (/ x y))
(* x (- (/ 1 x) (/ 1 y)))
(* x (- (/ y x) 1))
(fabs (/ (+ y (* -1 x)) y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(fabs (+ 1 (* -1 (/ x y))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(/ (+ y (* -1 x)) y)
(/ (- y x) y)
(- y x)
(* y (+ 1 (* -1 (/ x y))))
(fabs (* -1 (/ (+ x (* -1 y)) y)))
(* -1 (* y (- (/ x y) 1)))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((fabs (/ (- y x) y)) (/ (- y x) y) (fabs (- 1 (/ x y))) (- 1 (/ x y)) (/ x y) (fabs (/ (- y x) y)) (/ (- y x) y) (- y x) (neg x))
1.0ms
x
@inf
((fabs (/ (- y x) y)) (/ (- y x) y) (fabs (- 1 (/ x y))) (- 1 (/ x y)) (/ x y) (fabs (/ (- y x) y)) (/ (- y x) y) (- y x) (neg x))
1.0ms
y
@-inf
((fabs (/ (- y x) y)) (/ (- y x) y) (fabs (- 1 (/ x y))) (- 1 (/ x y)) (/ x y) (fabs (/ (- y x) y)) (/ (- y x) y) (- y x) (neg x))
1.0ms
x
@0
((fabs (/ (- y x) y)) (/ (- y x) y) (fabs (- 1 (/ x y))) (- 1 (/ x y)) (/ x y) (fabs (/ (- y x) y)) (/ (- y x) y) (- y x) (neg x))
1.0ms
y
@inf
((fabs (/ (- y x) y)) (/ (- y x) y) (fabs (- 1 (/ x y))) (- 1 (/ x y)) (/ x y) (fabs (/ (- y x) y)) (/ (- y x) y) (- y x) (neg x))

simplify141.0ms (3%)

Memory
-16.7MiB live, 104.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04084
110784
226184
365084
4191384
5430284
6612484
7751284
0802784
Stop Event
iter limit
node limit
Counts
21 → 20
Calls
Call 1
Inputs
(fabs (/ (- y x) y))
1
(+ 1 (* -1 (/ x y)))
(fabs (- 1 (/ x y)))
(/ x y)
y
(+ y (* -1 x))
(* -1 x)
(* -1 (/ x y))
(* x (- (/ 1 x) (/ 1 y)))
(* x (- (/ y x) 1))
(fabs (/ (+ y (* -1 x)) y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(fabs (+ 1 (* -1 (/ x y))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(/ (+ y (* -1 x)) y)
(/ (- y x) y)
(- y x)
(* y (+ 1 (* -1 (/ x y))))
(fabs (* -1 (/ (+ x (* -1 y)) y)))
(* -1 (* y (- (/ x y) 1)))
Outputs
(fabs (/ (- y x) y))
(fabs.f64 (/.f64 (-.f64 y x) y))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ x y)))
(/.f64 (-.f64 y x) y)
(fabs (- 1 (/ x y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(/ x y)
(/.f64 x y)
y
(+ y (* -1 x))
(-.f64 y x)
(* -1 x)
(neg.f64 x)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* x (- (/ 1 x) (/ 1 y)))
(/.f64 (-.f64 y x) y)
(* x (- (/ y x) 1))
(-.f64 y x)
(fabs (/ (+ y (* -1 x)) y))
(fabs.f64 (/.f64 (-.f64 y x) y))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(/.f64 (-.f64 y x) y)
(fabs (+ 1 (* -1 (/ x y))))
(fabs.f64 (/.f64 (-.f64 y x) y))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(/ (+ y (* -1 x)) y)
(/.f64 (-.f64 y x) y)
(/ (- y x) y)
(/.f64 (-.f64 y x) y)
(- y x)
(-.f64 y x)
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(fabs (* -1 (/ (+ x (* -1 y)) y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)

rewrite114.0ms (2.4%)

Memory
26.8MiB live, 138.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01454
02154
18354
254554
0818654
Stop Event
iter limit
node limit
iter limit
Counts
9 → 345
Calls
Call 1
Inputs
(fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64)))
#s(approx (/ (- y x) y) #s(literal 1 binary64))
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 x y)
(fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))
(/.f64 #s(approx (- y x) (neg.f64 x)) y)
#s(approx (- y x) (neg.f64 x))
(neg.f64 x)
Outputs
(*.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))))
(fabs.f64 (-.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64)) #s(literal 0 binary64)))
(fabs.f64 (neg.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))))
(fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) #s(approx (/ (- y x) y) #s(literal 1 binary64)))
#s(approx (/ (- y x) y) #s(literal 1 binary64))
(neg.f64 (neg.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))))
(*.f64 (fabs.f64 (-.f64 x y)) (pow.f64 (fabs.f64 y) #s(literal -1 binary64)))
(*.f64 (fabs.f64 (-.f64 y x)) (pow.f64 (fabs.f64 y) #s(literal -1 binary64)))
(*.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fabs.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)))))
(*.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (fabs.f64 (pow.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fabs.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64)))))
(*.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fabs.f64 (pow.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (fabs.f64 y) #s(literal -1 binary64)) (fabs.f64 (-.f64 y x)))
(*.f64 #s(literal 1 binary64) (fabs.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (fabs.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fabs.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64)))))
(/.f64 (fabs.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) y)) (fabs.f64 (+.f64 x y)))
(/.f64 (fabs.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y)) (fabs.f64 (fma.f64 (+.f64 x y) x (*.f64 y y))))
(/.f64 (fabs.f64 (*.f64 y (-.f64 x y))) (fabs.f64 (*.f64 (neg.f64 y) y)))
(/.f64 (fabs.f64 (fma.f64 (/.f64 y x) y (neg.f64 y))) (fabs.f64 (*.f64 (/.f64 y x) y)))
(/.f64 (fabs.f64 (*.f64 y (-.f64 y x))) (fabs.f64 (*.f64 y y)))
(/.f64 (fabs.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) (fabs.f64 (*.f64 (+.f64 x y) y)))
(/.f64 (fabs.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fabs.f64 (*.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) y)))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (fabs.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fabs.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64))) (fabs.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64))) (fabs.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 x y))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y (-.f64 y x))))
(fabs.f64 (-.f64 (/.f64 (-.f64 y x) y) #s(literal 0 binary64)))
(fabs.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(*.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) y) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(*.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) y) (fma.f64 (neg.f64 x) x (*.f64 y y))) (-.f64 y x))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 x y) x) #s(literal 2 binary64)))) (-.f64 (*.f64 y (-.f64 y x)) (*.f64 x x)))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y) (+.f64 (pow.f64 (*.f64 (+.f64 x y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 x y) x) (-.f64 (*.f64 (+.f64 x y) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y)) #s(literal 2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 x y)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y)) (-.f64 (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 (-.f64 y x) y))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 x y)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (/.f64 y (-.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (-.f64 y x)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (+.f64 x y) y) (/.f64 (-.f64 y x) (+.f64 x y)))
(*.f64 (/.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) y) (/.f64 (-.f64 y x) (fma.f64 (+.f64 x y) x (*.f64 y y))))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (pow.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 y (fma.f64 (neg.f64 x) x (*.f64 y y))) #s(literal -1 binary64)) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) y) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y) (pow.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 x y))
(*.f64 (pow.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x y) #s(literal 1 binary64)))))
(*.f64 (*.f64 y (-.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) y)))
(*.f64 (fma.f64 (/.f64 y x) y (neg.f64 y)) (/.f64 (/.f64 x y) y))
(*.f64 (*.f64 y (-.f64 y x)) (pow.f64 y #s(literal -2 binary64)))
(*.f64 (+.f64 x y) (/.f64 (-.f64 y x) (*.f64 (+.f64 x y) y)))
(*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 (pow.f64 y #s(literal -1 binary64)) (+.f64 x y)))
(*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (*.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) y)))
(*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) y))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (pow.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (-.f64 y x))
(*.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) (/.f64 (-.f64 y x) (*.f64 (fma.f64 (+.f64 x y) x (*.f64 y y)) y)))
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(/.f64 (*.f64 x x) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (neg.f64 x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(neg.f64 x)
(fma.f64 (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) x) x)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)))
(-.f64 #s(literal 0 binary64) x)
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(+.f64 (neg.f64 x) #s(literal 0 binary64))

eval39.0ms (0.8%)

Memory
13.8MiB live, 90.2MiB allocated
Compiler

Compiled 5 857 to 1 158 computations (80.2% saved)

prune19.0ms (0.4%)

Memory
-34.5MiB live, 26.3MiB allocated
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New3530353
Fresh000
Picked033
Done000
Total3533356
Accuracy
100.0%
Counts
356 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.2%
(fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))
100.0%
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
50.9%
(fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64)))
Compiler

Compiled 93 to 58 computations (37.6% saved)

regimes10.0ms (0.2%)

Memory
12.6MiB live, 12.6MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
(fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64)))
(fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(fabs.f64 (/.f64 (-.f64 y x) y))
(/.f64 (fabs.f64 #s(approx (- x y) (neg.f64 y))) (fabs.f64 y))
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
(*.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 (/.f64 #s(literal -1 binary64) y)))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (fabs.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64))))
Outputs
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
Calls

3 calls:

3.0ms
y
3.0ms
x
3.0ms
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes5.0ms (0.1%)

Memory
7.6MiB live, 7.6MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
(fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64)))
(fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))
Outputs
(fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64)))
(fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y))
Calls

3 calls:

2.0ms
y
2.0ms
x
1.0ms
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Results
AccuracySegmentsBranch
78.5%3x
78.6%3y
98.1%2(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes8.0ms (0.2%)

Memory
-31.8MiB live, 6.8MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64)))
Outputs
(fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64)))
Calls

3 calls:

5.0ms
x
1.0ms
y
1.0ms
(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Results
AccuracySegmentsBranch
50.9%1x
50.9%1y
50.9%1(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.1846716839348808
14809.647376904899
Compiler

Compiled 10 to 11 computations (-10% saved)

simplify25.0ms (0.5%)

Memory
4.7MiB live, 43.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02141
13741
25041
35941
46641
58141
610841
711141
Stop Event
saturated
Calls
Call 1
Inputs
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(if (<=.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #s(literal 2 binary64)) (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)))
(fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64)))
Outputs
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(fabs.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) #s(literal 2 binary64)) (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)))
(if (<=.f64 (/.f64 (fabs.f64 (-.f64 y x)) (fabs.f64 y)) #s(literal 2 binary64)) (fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64))) (fabs.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) y)))
(fabs.f64 #s(approx (/ (- y x) y) #s(literal 1 binary64)))

soundness654.0ms (13.9%)

Memory
19.7MiB live, 255.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076246
1175242
2426242
31249242
43030242
55464242
67201242
08196236
02599
04386
115686
2104186
0846686
0616
01015
14015
225215
3233015
0871215
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 114 to 79 computations (30.7% saved)

preprocess25.0ms (0.5%)

Memory
4.2MiB live, 41.2MiB allocated
Compiler

Compiled 96 to 54 computations (43.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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