Examples.Basics.BasicTests:f3 from sbv-4.4

Time bar (total: 3.8s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 9 to 6 computations (33.3% saved)

sample828.0ms (22%)

Memory
3.2MiB live, 1 128.5MiB allocated
Samples
526.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 303.0ms
ival-mult: 206.0ms (67.9% of total)
ival-add: 88.0ms (29% of total)
ival-true: 6.0ms (2% of total)
ival-assert: 3.0ms (1% of total)
Bogosity

explain63.0ms (1.7%)

Memory
17.4MiB live, 61.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-y
00-0-(*.f64 (+.f64 x y) (+.f64 x 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
42.0ms512×0valid
Compiler

Compiled 35 to 16 computations (54.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-add: 27.0ms (86.9% of total)
ival-mult: 3.0ms (9.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess207.0ms (5.5%)

Memory
2.1MiB live, 140.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01245
14945
219441
368439
4106839
5171435
6299235
7376635
8425835
9437035
10448235
11448235
12460235
13478235
14496235
047
067
1177
2537
31707
45067
58527
615257
723347
827797
930577
1031817
1132177
032177
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) (+.f64 x y))
Outputs
(*.f64 (+.f64 x y) (+.f64 x y))
(*.f64 (+.f64 y x) (+.f64 y x))
Symmetry

(sort x y)

Compiler

Compiled 7 to 4 computations (42.9% 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 (+.f64 x y) (+.f64 x y))
Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify61.0ms (1.6%)

Memory
-9.7MiB live, 34.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x y)
cost-diff0
(*.f64 (+.f64 x y) (+.f64 x y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0412
0612
11712
25312
317012
450612
585212
6152512
7233412
8277912
9305712
10318112
11321712
0321712
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) (+.f64 x y))
(+.f64 x y)
x
y
Outputs
(*.f64 (+.f64 x y) (+.f64 x y))
(*.f64 (+.f64 y x) (+.f64 y x))
(+.f64 x y)
(+.f64 y x)
x
y

localize12.0ms (0.3%)

Memory
16.1MiB live, 16.1MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 x y)
accuracy0.0078125
(*.f64 (+.f64 x y) (+.f64 x y))
Samples
8.0ms256×0valid
Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 2.0ms (60.2% of total)
ival-add: 1.0ms (30.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
3.0MiB live, 3.0MiB allocated
Counts
2 → 19
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) (+.f64 x y))
(+.f64 x y)
Outputs
(pow y 2)
(+ (* 2 (* x y)) (pow y 2))
(+ (* x (+ x (* 2 y))) (pow y 2))
y
(+ x y)
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2)))))
x
(* x (+ 1 (/ y x)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+ (* 2 (* x y)) (pow x 2))
(+ (* y (+ y (* 2 x))) (pow x 2))
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(* y (+ 1 (/ x y)))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
Calls

6 calls:

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

simplify216.0ms (5.7%)

Memory
-20.8MiB live, 322.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065179
1218169
2725161
33280161
08199147
Stop Event
iter limit
node limit
Counts
19 → 17
Calls
Call 1
Inputs
(pow y 2)
(+ (* 2 (* x y)) (pow y 2))
(+ (* x (+ x (* 2 y))) (pow y 2))
y
(+ x y)
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2)))))
x
(* x (+ 1 (/ y x)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+ (* 2 (* x y)) (pow x 2))
(+ (* y (+ y (* 2 x))) (pow x 2))
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(* y (+ 1 (/ x y)))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
Outputs
(pow y 2)
(*.f64 y y)
(+ (* 2 (* x y)) (pow y 2))
(*.f64 (fma.f64 #s(literal 2 binary64) x y) y)
(+ (* x (+ x (* 2 y))) (pow y 2))
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))
y
(+ x y)
(+.f64 y x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(*.f64 (*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 1 binary64)) x) x)
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(*.f64 (fma.f64 (*.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal -2 binary64))) x x) x)
x
(* x (+ 1 (/ y x)))
(fma.f64 (/.f64 y x) x x)
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x))))
(*.f64 (fma.f64 (*.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal -2 binary64))) x x) x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))
(+ (* 2 (* x y)) (pow x 2))
(*.f64 (fma.f64 #s(literal 2 binary64) y x) x)
(+ (* y (+ y (* 2 x))) (pow x 2))
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(*.f64 (*.f64 (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal 1 binary64)) y) y)
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(*.f64 (fma.f64 (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -2 binary64))) y y) y)
(* y (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) y y)
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y))))
(*.f64 (fma.f64 (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -2 binary64))) y y) y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)))

rewrite174.0ms (4.6%)

Memory
-15.9MiB live, 267.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0410
068
1328
22538
331318
094418
Stop Event
iter limit
node limit
iter limit
Counts
2 → 505
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) (+.f64 x y))
(+.f64 x y)
Outputs
(*.f64 (fabs.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fabs.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))
(*.f64 (fabs.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) (-.f64 y x))
(*.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 y x)) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 2 binary64)))) (fabs.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))
(*.f64 (fabs.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 y x)) (+.f64 (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fabs.f64 (fma.f64 (*.f64 (-.f64 y x) y) (-.f64 (*.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (fabs.f64 (+.f64 (neg.f64 y) x)) (fabs.f64 (-.f64 (neg.f64 y) x)))
(*.f64 (fabs.f64 (+.f64 (neg.f64 x) y)) (fabs.f64 (-.f64 (neg.f64 x) y)))
(*.f64 (fabs.f64 (+.f64 x (neg.f64 y))) (fabs.f64 (-.f64 x (neg.f64 y))))
(*.f64 (fabs.f64 (+.f64 y (neg.f64 x))) (fabs.f64 (-.f64 y (neg.f64 x))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (fabs.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 y x))
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 y x)) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 2 binary64))) #s(literal 1 binary64)) (fabs.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 y x)) (+.f64 (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (*.f64 (-.f64 y x) y) (-.f64 (*.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 (-.f64 y x) y) (-.f64 (*.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 3 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 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (-.f64 y x))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 y x)) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 2 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x)))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 y x)) (+.f64 (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 y x) y) (-.f64 (*.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (+.f64 (neg.f64 y) x) (-.f64 (neg.f64 y) x))
(*.f64 (+.f64 y (neg.f64 x)) (-.f64 y (neg.f64 x)))
(*.f64 (+.f64 (neg.f64 x) y) (-.f64 (neg.f64 x) y))
(*.f64 (+.f64 x (neg.f64 y)) (-.f64 x (neg.f64 y)))
(*.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64))) (sqrt.f64 (-.f64 y x)))
(*.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 y x) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 2 binary64)))
(*.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fabs.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 2 binary64)))))
(*.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fabs.f64 (/.f64 (-.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(*.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fabs.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(*.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)))
(*.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (/.f64 (-.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (fabs.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (fabs.f64 (/.f64 (-.f64 y x) (-.f64 y x))))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (fabs.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 y x) (-.f64 y x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 y x) (-.f64 y x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (/.f64 (-.f64 y x) (-.f64 y x)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (-.f64 y x) (fabs.f64 (-.f64 (neg.f64 y) (neg.f64 x))))
(*.f64 (-.f64 y x) (fabs.f64 (-.f64 x (neg.f64 y))))
(*.f64 (-.f64 y x) (fabs.f64 (-.f64 (neg.f64 x) (neg.f64 y))))
(*.f64 (-.f64 y x) (pow.f64 (-.f64 x (neg.f64 y)) #s(literal 1 binary64)))
(*.f64 (-.f64 y x) (-.f64 x (neg.f64 y)))
(*.f64 (-.f64 y x) (-.f64 (neg.f64 y) (neg.f64 x)))
(*.f64 (-.f64 y x) (-.f64 (neg.f64 x) (neg.f64 y)))
(*.f64 (-.f64 y x) (-.f64 y x))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (-.f64 y x)))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (-.f64 y x) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) y) (-.f64 y x) (*.f64 (-.f64 y x) (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) x)))) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))
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(/.f64 (hypot.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 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fabs.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))
(/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (fabs.f64 (-.f64 (neg.f64 y) (neg.f64 x))))
(/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (fabs.f64 (-.f64 (neg.f64 x) (neg.f64 y))))
(/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (neg.f64 y) (neg.f64 x)))
(/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (neg.f64 x) (neg.f64 y)))
(/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 y x))
(/.f64 (-.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) (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 (neg.f64 x) (neg.f64 y)))))
(/.f64 (-.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 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x)))
(neg.f64 (-.f64 y x))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 (neg.f64 y))) x)
(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) x)
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) x)
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) y)
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) y)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) y)
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 2 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 y x) y) (-.f64 (*.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(fma.f64 (/.f64 (*.f64 x x) (-.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 y (/.f64 y (-.f64 y x))))
(fma.f64 (/.f64 (*.f64 x x) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (-.f64 y x) (*.f64 y (/.f64 y (-.f64 y x))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 2 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))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 y x) y) (-.f64 (*.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 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))))
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) (-.f64 y x)) (*.f64 y (/.f64 y (-.f64 y x))))
(fma.f64 (*.f64 y y) (/.f64 y (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(fma.f64 (*.f64 x x) (/.f64 x (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))))
(fma.f64 y (/.f64 (*.f64 y y) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(fma.f64 x (/.f64 (*.f64 x x) (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))))
(fma.f64 x (/.f64 x (-.f64 y x)) (*.f64 y (/.f64 y (-.f64 y x))))
(sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)))
(-.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 (*.f64 y (/.f64 y (-.f64 y x))) (*.f64 x (/.f64 x (-.f64 y x))))
(-.f64 (*.f64 x (/.f64 x (-.f64 y x))) (*.f64 y (/.f64 y (-.f64 y x))))
(-.f64 y x)
(-.f64 x y)
(fabs.f64 (-.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)) (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(fabs.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 y x) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))))
(fabs.f64 (-.f64 y x))
(hypot.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 x)))
(hypot.f64 (neg.f64 (neg.f64 y)) (neg.f64 x))
(hypot.f64 (neg.f64 (neg.f64 y)) x)
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y)))
(hypot.f64 (neg.f64 (neg.f64 x)) (neg.f64 y))
(hypot.f64 (neg.f64 (neg.f64 x)) y)
(hypot.f64 (neg.f64 y) (neg.f64 (neg.f64 x)))
(hypot.f64 (neg.f64 y) (neg.f64 x))
(hypot.f64 (neg.f64 y) x)
(hypot.f64 (neg.f64 x) (neg.f64 (neg.f64 y)))
(hypot.f64 (neg.f64 x) (neg.f64 y))
(hypot.f64 (neg.f64 x) y)
(hypot.f64 y (neg.f64 (neg.f64 x)))
(hypot.f64 y (neg.f64 x))
(hypot.f64 y x)
(hypot.f64 x (neg.f64 (neg.f64 y)))
(hypot.f64 x (neg.f64 y))
(hypot.f64 x y)
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (-.f64 y x)))
(+.f64 (cosh.f64 (log.f64 (-.f64 y x))) (sinh.f64 (log.f64 (-.f64 y x))))
(+.f64 (neg.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 (neg.f64 y)) (neg.f64 (neg.f64 x)))
(+.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y)))
(+.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)) (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 (*.f64 x (/.f64 x (-.f64 y x))) (*.f64 y (/.f64 y (-.f64 y x))))
(+.f64 (neg.f64 y) (neg.f64 x))
(+.f64 (neg.f64 x) (neg.f64 y))
(+.f64 y x)
(+.f64 x y)

eval193.0ms (5.1%)

Memory
4.8MiB live, 296.7MiB allocated
Compiler

Compiled 16 595 to 1 409 computations (91.5% saved)

prune13.0ms (0.3%)

Memory
8.4MiB live, 53.2MiB allocated
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New7144718
Fresh000
Picked011
Done000
Total7145719
Accuracy
100.0%
Counts
719 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (+.f64 x y) (+.f64 x y))
88.4%
#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -2 binary64))) y y) y))
66.0%
#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
54.3%
#s(approx (* (+ x y) (+ x y)) (*.f64 y y))
64.3%
#s(approx (* (+ x y) (+ x y)) (*.f64 x x))
Compiler

Compiled 65 to 35 computations (46.2% saved)

simplify229.0ms (6.1%)

Memory
-8.6MiB live, 138.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -2 binary64)))
cost-diff0
#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -2 binary64))) y y) y))
cost-diff3
(*.f64 (fma.f64 (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -2 binary64))) y y) y)
cost-diff4
(fma.f64 (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -2 binary64))) y y)
cost-diff0
(fma.f64 #s(literal 2 binary64) y x)
cost-diff0
(*.f64 (fma.f64 #s(literal 2 binary64) y x) x)
cost-diff0
#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
cost-diff0
(*.f64 y y)
cost-diff0
#s(approx (* (+ x y) (+ x y)) (*.f64 y y))
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (* (+ x y) (+ x y)) (*.f64 x x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019125
030125
165125
2173125
3512122
41161116
52954108
65666108
08150107
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (* (+ x y) (+ x y)) (*.f64 x x))
(*.f64 x x)
x
#s(approx (* (+ x y) (+ x y)) (*.f64 y y))
(*.f64 y y)
y
#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
(*.f64 (fma.f64 #s(literal 2 binary64) y x) x)
(fma.f64 #s(literal 2 binary64) y x)
#s(literal 2 binary64)
y
x
#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -2 binary64))) y y) y))
(*.f64 (fma.f64 (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -2 binary64))) y y) y)
(fma.f64 (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -2 binary64))) y y)
(*.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -2 binary64)))
(/.f64 x y)
x
y
(-.f64 (/.f64 x y) #s(literal -2 binary64))
#s(literal -2 binary64)
Outputs
#s(approx (* (+ x y) (+ x y)) (*.f64 x x))
(*.f64 x x)
x
#s(approx (* (+ x y) (+ x y)) (*.f64 y y))
(*.f64 y y)
y
#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
(*.f64 (fma.f64 #s(literal 2 binary64) y x) x)
(fma.f64 #s(literal 2 binary64) y x)
#s(literal 2 binary64)
y
x
#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -2 binary64))) y y) y))
#s(approx (* (+ x y) (+ x y)) (*.f64 (+.f64 y x) (+.f64 y x)))
(*.f64 (fma.f64 (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -2 binary64))) y y) y)
(*.f64 (+.f64 y x) (+.f64 y x))
(fma.f64 (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -2 binary64))) y y)
(fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y)
(*.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -2 binary64)))
(*.f64 (/.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) y) x)
(/.f64 x y)
x
y
(-.f64 (/.f64 x y) #s(literal -2 binary64))
#s(literal -2 binary64)

localize64.0ms (1.7%)

Memory
-0.9MiB live, 86.8MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(-.f64 (/.f64 x y) #s(literal -2 binary64))
accuracy0.17025375976844204
(*.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -2 binary64)))
accuracy3.3099006180949933
(fma.f64 (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -2 binary64))) y y)
accuracy3.999758905264941
(*.f64 (fma.f64 (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -2 binary64))) y y) y)
accuracy0.0
(fma.f64 #s(literal 2 binary64) y x)
accuracy0.0078125
(*.f64 (fma.f64 #s(literal 2 binary64) y x) x)
accuracy21.757002877256085
#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
accuracy0.0
(*.f64 y y)
accuracy29.25231635726599
#s(approx (* (+ x y) (+ x y)) (*.f64 y y))
accuracy0.0
(*.f64 x x)
accuracy22.857711047199516
#s(approx (* (+ x y) (+ x y)) (*.f64 x x))
Samples
30.0ms256×0valid
Compiler

Compiled 101 to 19 computations (81.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 12.0ms (60.4% of total)
ival-add: 4.0ms (20.1% of total)
ival-div: 2.0ms (10.1% of total)
ival-sub: 1.0ms (5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series12.0ms (0.3%)

Memory
20.6MiB live, 20.6MiB allocated
Counts
12 → 48
Calls
Call 1
Inputs
#s(approx (* (+ x y) (+ x y)) (*.f64 x x))
(*.f64 x x)
#s(approx (* (+ x y) (+ x y)) (*.f64 y y))
(*.f64 y y)
#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
(*.f64 (fma.f64 #s(literal 2 binary64) y x) x)
(fma.f64 #s(literal 2 binary64) y x)
(fma.f64 (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -2 binary64))) y y)
(*.f64 (fma.f64 (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -2 binary64))) y y) y)
#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -2 binary64))) y y) y))
(*.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -2 binary64)))
(-.f64 (/.f64 x y) #s(literal -2 binary64))
Outputs
(pow y 2)
(+ (* 2 (* x y)) (pow y 2))
(+ (* x (+ x (* 2 y))) (pow y 2))
(pow x 2)
(* 2 (* x y))
(* x (+ x (* 2 y)))
(* 2 y)
(+ x (* 2 y))
y
(+ y (* 2 x))
(+ y (* x (+ 2 (/ x y))))
(* 2 (/ x y))
(* x (+ (* 2 (/ 1 y)) (/ x (pow y 2))))
2
(+ 2 (/ x y))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2)))))
x
(* x (+ 1 (* 2 (/ y x))))
(/ (pow x 2) y)
(* (pow x 2) (+ (* 2 (/ 1 x)) (/ 1 y)))
(* (pow x 2) (+ (* 2 (/ 1 x)) (+ (/ 1 y) (/ y (pow x 2)))))
(/ (pow x 2) (pow y 2))
(* (pow x 2) (+ (* 2 (/ 1 (* x y))) (/ 1 (pow y 2))))
(/ x y)
(* x (+ (* 2 (/ 1 x)) (/ 1 y)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x))))
(* -1 (* x (- (* -2 (/ y x)) 1)))
(* (pow x 2) (+ (* -1 (/ (- (* -1 (/ y x)) 2) x)) (/ 1 y)))
(+ (* 2 (* x y)) (pow x 2))
(+ (* y (+ y (* 2 x))) (pow x 2))
(/ (+ (* 2 (* x y)) (pow x 2)) y)
(/ (+ (* y (+ y (* 2 x))) (pow x 2)) y)
(/ (+ (* 2 (* x y)) (pow x 2)) (pow y 2))
(/ (+ x (* 2 y)) y)
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(* y (+ (* 2 x) (/ (pow x 2) y)))
(* y (+ 2 (/ x y)))
(* y (+ 1 (* 2 (/ x y))))
(* y (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(/ (+ (* 2 x) (/ (pow x 2) y)) y)
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y))))
(* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y)))))
(* -1 (* y (- (* -1 (/ x y)) 2)))
(* -1 (* y (- (* -2 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ (+ (* 2 x) (/ (pow x 2) y)) y)) 1)))
(* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y))
Calls

6 calls:

TimeVariablePointExpression
2.0ms
y
@0
((* (+ x y) (+ x y)) (* x x) (* (+ x y) (+ x y)) (* y y) (* (+ x y) (+ x y)) (* (+ (* 2 y) x) x) (+ (* 2 y) x) (+ (* (* (/ x y) (- (/ x y) -2)) y) y) (* (+ (* (* (/ x y) (- (/ x y) -2)) y) y) y) (* (+ x y) (+ x y)) (* (/ x y) (- (/ x y) -2)) (- (/ x y) -2))
2.0ms
x
@-inf
((* (+ x y) (+ x y)) (* x x) (* (+ x y) (+ x y)) (* y y) (* (+ x y) (+ x y)) (* (+ (* 2 y) x) x) (+ (* 2 y) x) (+ (* (* (/ x y) (- (/ x y) -2)) y) y) (* (+ (* (* (/ x y) (- (/ x y) -2)) y) y) y) (* (+ x y) (+ x y)) (* (/ x y) (- (/ x y) -2)) (- (/ x y) -2))
2.0ms
x
@0
((* (+ x y) (+ x y)) (* x x) (* (+ x y) (+ x y)) (* y y) (* (+ x y) (+ x y)) (* (+ (* 2 y) x) x) (+ (* 2 y) x) (+ (* (* (/ x y) (- (/ x y) -2)) y) y) (* (+ (* (* (/ x y) (- (/ x y) -2)) y) y) y) (* (+ x y) (+ x y)) (* (/ x y) (- (/ x y) -2)) (- (/ x y) -2))
2.0ms
y
@-inf
((* (+ x y) (+ x y)) (* x x) (* (+ x y) (+ x y)) (* y y) (* (+ x y) (+ x y)) (* (+ (* 2 y) x) x) (+ (* 2 y) x) (+ (* (* (/ x y) (- (/ x y) -2)) y) y) (* (+ (* (* (/ x y) (- (/ x y) -2)) y) y) y) (* (+ x y) (+ x y)) (* (/ x y) (- (/ x y) -2)) (- (/ x y) -2))
2.0ms
x
@inf
((* (+ x y) (+ x y)) (* x x) (* (+ x y) (+ x y)) (* y y) (* (+ x y) (+ x y)) (* (+ (* 2 y) x) x) (+ (* 2 y) x) (+ (* (* (/ x y) (- (/ x y) -2)) y) y) (* (+ (* (* (/ x y) (- (/ x y) -2)) y) y) y) (* (+ x y) (+ x y)) (* (/ x y) (- (/ x y) -2)) (- (/ x y) -2))

simplify194.0ms (5.2%)

Memory
27.0MiB live, 400.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109392
1386376
21348357
36412357
08780330
Stop Event
iter limit
node limit
Counts
48 → 46
Calls
Call 1
Inputs
(pow y 2)
(+ (* 2 (* x y)) (pow y 2))
(+ (* x (+ x (* 2 y))) (pow y 2))
(pow x 2)
(* 2 (* x y))
(* x (+ x (* 2 y)))
(* 2 y)
(+ x (* 2 y))
y
(+ y (* 2 x))
(+ y (* x (+ 2 (/ x y))))
(* 2 (/ x y))
(* x (+ (* 2 (/ 1 y)) (/ x (pow y 2))))
2
(+ 2 (/ x y))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2)))))
x
(* x (+ 1 (* 2 (/ y x))))
(/ (pow x 2) y)
(* (pow x 2) (+ (* 2 (/ 1 x)) (/ 1 y)))
(* (pow x 2) (+ (* 2 (/ 1 x)) (+ (/ 1 y) (/ y (pow x 2)))))
(/ (pow x 2) (pow y 2))
(* (pow x 2) (+ (* 2 (/ 1 (* x y))) (/ 1 (pow y 2))))
(/ x y)
(* x (+ (* 2 (/ 1 x)) (/ 1 y)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x))))
(* -1 (* x (- (* -2 (/ y x)) 1)))
(* (pow x 2) (+ (* -1 (/ (- (* -1 (/ y x)) 2) x)) (/ 1 y)))
(+ (* 2 (* x y)) (pow x 2))
(+ (* y (+ y (* 2 x))) (pow x 2))
(/ (+ (* 2 (* x y)) (pow x 2)) y)
(/ (+ (* y (+ y (* 2 x))) (pow x 2)) y)
(/ (+ (* 2 (* x y)) (pow x 2)) (pow y 2))
(/ (+ x (* 2 y)) y)
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(* y (+ (* 2 x) (/ (pow x 2) y)))
(* y (+ 2 (/ x y)))
(* y (+ 1 (* 2 (/ x y))))
(* y (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(/ (+ (* 2 x) (/ (pow x 2) y)) y)
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y))))
(* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y)))))
(* -1 (* y (- (* -1 (/ x y)) 2)))
(* -1 (* y (- (* -2 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ (+ (* 2 x) (/ (pow x 2) y)) y)) 1)))
(* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y))
Outputs
(pow y 2)
(*.f64 y y)
(+ (* 2 (* x y)) (pow y 2))
(*.f64 (fma.f64 #s(literal 2 binary64) x y) y)
(+ (* x (+ x (* 2 y))) (pow y 2))
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* 2 (* x y))
(*.f64 (*.f64 y x) #s(literal 2 binary64))
(* x (+ x (* 2 y)))
(*.f64 (fma.f64 #s(literal 2 binary64) y x) x)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(+ x (* 2 y))
(fma.f64 #s(literal 2 binary64) y x)
y
(+ y (* 2 x))
(fma.f64 #s(literal 2 binary64) x y)
(+ y (* x (+ 2 (/ x y))))
(fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y)
(* 2 (/ x y))
(*.f64 (/.f64 x y) #s(literal 2 binary64))
(* x (+ (* 2 (/ 1 y)) (/ x (pow y 2))))
(*.f64 (/.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) y) x)
2
#s(literal 2 binary64)
(+ 2 (/ x y))
(-.f64 (/.f64 x y) #s(literal -2 binary64))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(*.f64 (fma.f64 #s(literal 2 binary64) y x) x)
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x y) y) x) x (*.f64 x x))
x
(* x (+ 1 (* 2 (/ y x))))
(fma.f64 #s(literal 2 binary64) y x)
(/ (pow x 2) y)
(*.f64 (/.f64 x y) x)
(* (pow x 2) (+ (* 2 (/ 1 x)) (/ 1 y)))
(*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x)
(* (pow x 2) (+ (* 2 (/ 1 x)) (+ (/ 1 y) (/ y (pow x 2)))))
(*.f64 (fma.f64 (/.f64 (/.f64 y x) x) x (-.f64 (/.f64 x y) #s(literal -2 binary64))) x)
(/ (pow x 2) (pow y 2))
(*.f64 (/.f64 (/.f64 x y) y) x)
(* (pow x 2) (+ (* 2 (/ 1 (* x y))) (/ 1 (pow y 2))))
(*.f64 (/.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) y) x)
(/ x y)
(/.f64 x y)
(* x (+ (* 2 (/ 1 x)) (/ 1 y)))
(-.f64 (/.f64 x y) #s(literal -2 binary64))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x))))
(fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x y) y) x) x (*.f64 x x))
(* -1 (* x (- (* -2 (/ y x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 y x)) #s(literal 1 binary64)))
(* (pow x 2) (+ (* -1 (/ (- (* -1 (/ y x)) 2) x)) (/ 1 y)))
(fma.f64 (neg.f64 (-.f64 (/.f64 (neg.f64 y) x) #s(literal 2 binary64))) x (*.f64 (/.f64 x y) x))
(+ (* 2 (* x y)) (pow x 2))
(*.f64 (fma.f64 #s(literal 2 binary64) y x) x)
(+ (* y (+ y (* 2 x))) (pow x 2))
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))
(/ (+ (* 2 (* x y)) (pow x 2)) y)
(*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x)
(/ (+ (* y (+ y (* 2 x))) (pow x 2)) y)
(fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y)
(/ (+ (* 2 (* x y)) (pow x 2)) (pow y 2))
(*.f64 (/.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) y) x)
(/ (+ x (* 2 y)) y)
(-.f64 (/.f64 x y) #s(literal -2 binary64))
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(*.f64 (fma.f64 #s(literal 2 binary64) x y) y)
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))
(* y (+ (* 2 x) (/ (pow x 2) y)))
(*.f64 (fma.f64 #s(literal 2 binary64) y x) x)
(* y (+ 2 (/ x y)))
(fma.f64 #s(literal 2 binary64) y x)
(* y (+ 1 (* 2 (/ x y))))
(fma.f64 #s(literal 2 binary64) x y)
(* y (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y)
(/ (+ (* 2 x) (/ (pow x 2) y)) y)
(*.f64 (/.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) y) x)
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))
(* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y)))))
(*.f64 (fma.f64 #s(literal 2 binary64) y x) x)
(* -1 (* y (- (* -1 (/ x y)) 2)))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -2 binary64)))
(* -1 (* y (- (* -2 (/ x y)) 1)))
(*.f64 (neg.f64 y) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64)))
(* -1 (* y (- (* -1 (/ (+ (* 2 x) (/ (pow x 2) y)) y)) 1)))
(*.f64 (neg.f64 y) (-.f64 (*.f64 (/.f64 x y) (-.f64 #s(literal -2 binary64) (/.f64 x y))) #s(literal 1 binary64)))
(* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y))
(*.f64 (/.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) y) x)

rewrite272.0ms (7.2%)

Memory
-40.3MiB live, 269.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019114
030106
1114106
2853106
08311106
Stop Event
iter limit
node limit
iter limit
Counts
12 → 298
Calls
Call 1
Inputs
#s(approx (* (+ x y) (+ x y)) (*.f64 x x))
(*.f64 x x)
#s(approx (* (+ x y) (+ x y)) (*.f64 y y))
(*.f64 y y)
#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
(*.f64 (fma.f64 #s(literal 2 binary64) y x) x)
(fma.f64 #s(literal 2 binary64) y x)
(fma.f64 (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -2 binary64))) y y)
(*.f64 (fma.f64 (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -2 binary64))) y y) y)
#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -2 binary64))) y y) y))
(*.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -2 binary64)))
(-.f64 (/.f64 x y) #s(literal -2 binary64))
Outputs
#s(approx (* (+ x y) (+ x y)) (*.f64 x x))
(*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) x)
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x (neg.f64 (neg.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) (neg.f64 (neg.f64 x))))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
#s(approx (* (+ x y) (+ x y)) (*.f64 y y))
(*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 y))))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)))
(*.f64 (neg.f64 (neg.f64 y)) y)
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 y (neg.f64 (neg.f64 y)))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.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) (neg.f64 (neg.f64 y))))
(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 (neg.f64 y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.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))))
#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
(*.f64 (fma.f64 #s(literal 2 binary64) y x) x)
(*.f64 x (fma.f64 #s(literal 2 binary64) y x))
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) x) (*.f64 x x)))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) x) (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) y) x)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 (neg.f64 x) x)) x)) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) x)))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y))))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 (neg.f64 x) x)))) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) x)))
(/.f64 (neg.f64 (*.f64 x (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y))))))
(/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 (neg.f64 x) x)) x) (-.f64 (*.f64 #s(literal 2 binary64) y) x))
(/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) x) (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y)))))
(/.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 (neg.f64 x) x))) (-.f64 (*.f64 #s(literal 2 binary64) y) x))
(/.f64 (*.f64 x (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (*.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y))))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))) (*.f64 (*.f64 #s(literal 2 binary64) y) x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) y) x))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) y) x))
(fma.f64 (neg.f64 (neg.f64 x)) x (*.f64 (*.f64 #s(literal 2 binary64) y) x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (*.f64 #s(literal 2 binary64) y) x))
(fma.f64 (*.f64 #s(literal 2 binary64) y) x (*.f64 x x))
(fma.f64 #s(literal 2 binary64) (*.f64 y x) (*.f64 x x))
(fma.f64 (+.f64 y x) x (*.f64 y x))
(fma.f64 y (*.f64 #s(literal 2 binary64) x) (*.f64 x x))
(fma.f64 y x (*.f64 (+.f64 y x) x))
(fma.f64 x (/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y))))) (*.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y)))))))
(fma.f64 x (neg.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 2 binary64) y) x))
(fma.f64 x (*.f64 #s(literal 2 binary64) y) (*.f64 x x))
(fma.f64 x (+.f64 y x) (*.f64 y x))
(fma.f64 x y (*.f64 (+.f64 y x) x))
(fma.f64 x x (*.f64 (*.f64 #s(literal 2 binary64) y) x))
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) x) (*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 x))))
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) x) (*.f64 (neg.f64 x) (neg.f64 (neg.f64 x))))
(-.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) x) (*.f64 (neg.f64 x) x))
(-.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) (*.f64 y x)))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) x)))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 x) (*.f64 #s(literal 2 binary64) y)))
(-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal -2 binary64) y) x))
(+.f64 (*.f64 x (/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y)))))) (*.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y)))))))
(+.f64 (*.f64 (+.f64 y x) x) (*.f64 y x))
(+.f64 (*.f64 y x) (*.f64 (+.f64 y x) x))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) x) (*.f64 x x))
(+.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) y) x))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 #s(literal 2 binary64) y) x)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 #s(literal 2 binary64) y) x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 2 binary64) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 2 binary64) y) x)))) (+.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 #s(literal 2 binary64) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 2 binary64) y) x))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y))))) (/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y)))))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y))))))) (-.f64 (/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x (-.f64 x (*.f64 #s(literal 2 binary64) y)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 y y)) (-.f64 (+.f64 y x) y))
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (-.f64 y (+.f64 y x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 2 binary64) y) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 #s(literal 2 binary64) y) x)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 #s(literal 2 binary64) y) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 2 binary64) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 2 binary64) y) x)) (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 y y)) (-.f64 (*.f64 #s(literal 2 binary64) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 2 binary64) y) x))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 #s(literal 4 binary64) (*.f64 y y) (*.f64 x (*.f64 #s(literal -2 binary64) y)))))
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(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (/.f64 x y))) (*.f64 (+.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal -2 binary64) (/.f64 x y)) (+.f64 #s(literal -2 binary64) (/.f64 x y))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (*.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal -8 binary64))) (*.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64))) (neg.f64 (+.f64 #s(literal -2 binary64) (/.f64 x y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -8 binary64))) (neg.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal -2 binary64) (/.f64 x y)))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -8 binary64)) (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64))) (+.f64 #s(literal -2 binary64) (/.f64 x y))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -8 binary64))) (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)) (neg.f64 (+.f64 #s(literal -2 binary64) (/.f64 x y)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -8 binary64)) (neg.f64 (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 #s(literal -2 binary64) (/.f64 x y))) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal -2 binary64) (/.f64 x y))))
(-.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 #s(literal -8 binary64) (+.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
(-.f64 (/.f64 x y) #s(literal -2 binary64))

eval90.0ms (2.4%)

Memory
-11.4MiB live, 79.4MiB allocated
Compiler

Compiled 11 035 to 1 353 computations (87.7% saved)

prune6.0ms (0.2%)

Memory
23.4MiB live, 23.3MiB allocated
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New3211322
Fresh000
Picked134
Done011
Total3225327
Accuracy
100.0%
Counts
327 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (+.f64 x y) (+.f64 x y))
66.0%
#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
93.7%
#s(approx (* (+ x y) (+ x y)) (*.f64 #s(approx (+ (* (* (/ x y) (- (/ x y) -2)) y) y) (fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y)) y))
54.3%
#s(approx (* (+ x y) (+ x y)) (*.f64 y y))
64.3%
#s(approx (* (+ x y) (+ x y)) (*.f64 x x))
Compiler

Compiled 75 to 41 computations (45.3% saved)

simplify140.0ms (3.7%)

Memory
-0.2MiB live, 143.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y)
cost-diff0
#s(approx (+ (* (* (/ x y) (- (/ x y) -2)) y) y) (fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y))
cost-diff0
(*.f64 #s(approx (+ (* (* (/ x y) (- (/ x y) -2)) y) y) (fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y)) y)
cost-diff0
#s(approx (* (+ x y) (+ x y)) (*.f64 #s(approx (+ (* (* (/ x y) (- (/ x y) -2)) y) y) (fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y)) y))
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01697
02297
14697
211497
331091
480982
5152282
6318482
7523982
8720782
0805482
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (* (+ x y) (+ x y)) (*.f64 #s(approx (+ (* (* (/ x y) (- (/ x y) -2)) y) y) (fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y)) y))
(*.f64 #s(approx (+ (* (* (/ x y) (- (/ x y) -2)) y) y) (fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y)) y)
#s(approx (+ (* (* (/ x y) (- (/ x y) -2)) y) y) (fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y))
(fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y)
(-.f64 (/.f64 x y) #s(literal -2 binary64))
(/.f64 x y)
x
y
#s(literal -2 binary64)
Outputs
#s(approx (* (+ x y) (+ x y)) (*.f64 #s(approx (+ (* (* (/ x y) (- (/ x y) -2)) y) y) (fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y)) y))
(*.f64 #s(approx (+ (* (* (/ x y) (- (/ x y) -2)) y) y) (fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y)) y)
#s(approx (+ (* (* (/ x y) (- (/ x y) -2)) y) y) (fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y))
(fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y)
(-.f64 (/.f64 x y) #s(literal -2 binary64))
(/.f64 x y)
x
y
#s(literal -2 binary64)

localize55.0ms (1.5%)

Memory
-35.0MiB live, 113.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
#s(approx (* (+ x y) (+ x y)) (*.f64 #s(approx (+ (* (* (/ x y) (- (/ x y) -2)) y) y) (fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y)) y))
accuracy0.00390625
(-.f64 (/.f64 x y) #s(literal -2 binary64))
accuracy0.1015625
(fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y)
accuracy3.999758905264941
(*.f64 #s(approx (+ (* (* (/ x y) (- (/ x y) -2)) y) y) (fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y)) y)
Samples
40.0ms256×0valid
Compiler

Compiled 57 to 15 computations (73.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-add: 9.0ms (44.2% of total)
ival-mult: 7.0ms (34.4% of total)
ival-div: 2.0ms (9.8% of total)
ival-sub: 1.0ms (4.9% 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
9.9MiB live, 9.9MiB allocated
Counts
5 → 30
Calls
Call 1
Inputs
#s(approx (* (+ x y) (+ x y)) (*.f64 #s(approx (+ (* (* (/ x y) (- (/ x y) -2)) y) y) (fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y)) y))
(*.f64 #s(approx (+ (* (* (/ x y) (- (/ x y) -2)) y) y) (fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y)) y)
#s(approx (+ (* (* (/ x y) (- (/ x y) -2)) y) y) (fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y))
(fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y)
(-.f64 (/.f64 x y) #s(literal -2 binary64))
Outputs
(pow y 2)
(+ (* 2 (* x y)) (pow y 2))
(+ (* x (+ x (* 2 y))) (pow y 2))
y
(+ y (* 2 x))
(+ y (* x (+ 2 (/ x y))))
2
(+ 2 (/ x y))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(/ (pow x 2) y)
(* (pow x 2) (+ (* 2 (/ 1 x)) (/ 1 y)))
(* (pow x 2) (+ (* 2 (/ 1 x)) (+ (/ 1 y) (/ y (pow x 2)))))
(/ x y)
(* x (+ (* 2 (/ 1 x)) (/ 1 y)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x))))
(* (pow x 2) (+ (* -1 (/ (- (* -1 (/ y x)) 2) x)) (/ 1 y)))
(+ (* 2 (* x y)) (pow x 2))
(+ (* y (+ y (* 2 x))) (pow x 2))
(/ (+ (* 2 (* x y)) (pow x 2)) y)
(/ (+ (* y (+ y (* 2 x))) (pow x 2)) y)
(/ (+ x (* 2 y)) y)
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(* y (+ 1 (* 2 (/ x y))))
(* y (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y))))
(* -1 (* y (- (* -2 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ (+ (* 2 x) (/ (pow x 2) y)) y)) 1)))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
((* (+ x y) (+ x y)) (* (+ (* (* (/ x y) (- (/ x y) -2)) y) y) y) (+ (* (* (/ x y) (- (/ x y) -2)) y) y) (+ (* (- (/ x y) -2) x) y) (- (/ x y) -2))
0.0ms
x
@-inf
((* (+ x y) (+ x y)) (* (+ (* (* (/ x y) (- (/ x y) -2)) y) y) y) (+ (* (* (/ x y) (- (/ x y) -2)) y) y) (+ (* (- (/ x y) -2) x) y) (- (/ x y) -2))
0.0ms
y
@-inf
((* (+ x y) (+ x y)) (* (+ (* (* (/ x y) (- (/ x y) -2)) y) y) y) (+ (* (* (/ x y) (- (/ x y) -2)) y) y) (+ (* (- (/ x y) -2) x) y) (- (/ x y) -2))
0.0ms
x
@0
((* (+ x y) (+ x y)) (* (+ (* (* (/ x y) (- (/ x y) -2)) y) y) y) (+ (* (* (/ x y) (- (/ x y) -2)) y) y) (+ (* (- (/ x y) -2) x) y) (- (/ x y) -2))
0.0ms
y
@inf
((* (+ x y) (+ x y)) (* (+ (* (* (/ x y) (- (/ x y) -2)) y) y) y) (+ (* (* (/ x y) (- (/ x y) -2)) y) y) (+ (* (- (/ x y) -2) x) y) (- (/ x y) -2))

simplify187.0ms (5%)

Memory
18.1MiB live, 253.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
086269
1296263
21063236
35304234
08186215
Stop Event
iter limit
node limit
Counts
30 → 29
Calls
Call 1
Inputs
(pow y 2)
(+ (* 2 (* x y)) (pow y 2))
(+ (* x (+ x (* 2 y))) (pow y 2))
y
(+ y (* 2 x))
(+ y (* x (+ 2 (/ x y))))
2
(+ 2 (/ x y))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(/ (pow x 2) y)
(* (pow x 2) (+ (* 2 (/ 1 x)) (/ 1 y)))
(* (pow x 2) (+ (* 2 (/ 1 x)) (+ (/ 1 y) (/ y (pow x 2)))))
(/ x y)
(* x (+ (* 2 (/ 1 x)) (/ 1 y)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x))))
(* (pow x 2) (+ (* -1 (/ (- (* -1 (/ y x)) 2) x)) (/ 1 y)))
(+ (* 2 (* x y)) (pow x 2))
(+ (* y (+ y (* 2 x))) (pow x 2))
(/ (+ (* 2 (* x y)) (pow x 2)) y)
(/ (+ (* y (+ y (* 2 x))) (pow x 2)) y)
(/ (+ x (* 2 y)) y)
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(* y (+ 1 (* 2 (/ x y))))
(* y (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y))))
(* -1 (* y (- (* -2 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ (+ (* 2 x) (/ (pow x 2) y)) y)) 1)))
Outputs
(pow y 2)
(*.f64 y y)
(+ (* 2 (* x y)) (pow y 2))
(*.f64 (fma.f64 #s(literal 2 binary64) x y) y)
(+ (* x (+ x (* 2 y))) (pow y 2))
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))
y
(+ y (* 2 x))
(fma.f64 #s(literal 2 binary64) x y)
(+ y (* x (+ 2 (/ x y))))
(fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y)
2
#s(literal 2 binary64)
(+ 2 (/ x y))
(-.f64 (/.f64 x y) #s(literal -2 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(*.f64 (fma.f64 #s(literal 2 binary64) y x) x)
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x y) y) x) x (*.f64 x x))
(/ (pow x 2) y)
(*.f64 (/.f64 x y) x)
(* (pow x 2) (+ (* 2 (/ 1 x)) (/ 1 y)))
(*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x)
(* (pow x 2) (+ (* 2 (/ 1 x)) (+ (/ 1 y) (/ y (pow x 2)))))
(*.f64 (fma.f64 (/.f64 (/.f64 y x) x) x (-.f64 (/.f64 x y) #s(literal -2 binary64))) x)
(/ x y)
(/.f64 x y)
(* x (+ (* 2 (/ 1 x)) (/ 1 y)))
(-.f64 (/.f64 x y) #s(literal -2 binary64))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x))))
(fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x y) y) x) x (*.f64 x x))
(* (pow x 2) (+ (* -1 (/ (- (* -1 (/ y x)) 2) x)) (/ 1 y)))
(*.f64 (fma.f64 (/.f64 (/.f64 y x) x) x (-.f64 (/.f64 x y) #s(literal -2 binary64))) x)
(+ (* 2 (* x y)) (pow x 2))
(*.f64 (fma.f64 #s(literal 2 binary64) y x) x)
(+ (* y (+ y (* 2 x))) (pow x 2))
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))
(/ (+ (* 2 (* x y)) (pow x 2)) y)
(*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x)
(/ (+ (* y (+ y (* 2 x))) (pow x 2)) y)
(fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y)
(/ (+ x (* 2 y)) y)
(-.f64 (/.f64 x y) #s(literal -2 binary64))
(* (pow y 2) (+ 1 (* 2 (/ x y))))
(*.f64 (fma.f64 #s(literal 2 binary64) x y) y)
(* (pow y 2) (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))
(* y (+ 1 (* 2 (/ x y))))
(fma.f64 #s(literal 2 binary64) x y)
(* y (+ 1 (+ (* 2 (/ x y)) (/ (pow x 2) (pow y 2)))))
(fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y)
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x y) y (*.f64 x x))
(* -1 (* y (- (* -2 (/ x y)) 1)))
(*.f64 (neg.f64 y) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64)))
(* -1 (* y (- (* -1 (/ (+ (* 2 x) (/ (pow x 2) y)) y)) 1)))
(*.f64 (neg.f64 y) (-.f64 (*.f64 (-.f64 #s(literal -2 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64)))

rewrite182.0ms (4.8%)

Memory
8.5MiB live, 242.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01691
02289
19889
271989
0886386
Stop Event
iter limit
node limit
iter limit
Counts
5 → 53
Calls
Call 1
Inputs
#s(approx (* (+ x y) (+ x y)) (*.f64 #s(approx (+ (* (* (/ x y) (- (/ x y) -2)) y) y) (fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y)) y))
(*.f64 #s(approx (+ (* (* (/ x y) (- (/ x y) -2)) y) y) (fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y)) y)
#s(approx (+ (* (* (/ x y) (- (/ x y) -2)) y) y) (fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y))
(fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y)
(-.f64 (/.f64 x y) #s(literal -2 binary64))
Outputs
#s(approx (* (+ x y) (+ x y)) (*.f64 #s(approx (+ (* (* (/ x y) (- (/ x y) -2)) y) y) (fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y)) y))
(*.f64 #s(approx (+ (* (* (/ x y) (- (/ x y) -2)) y) y) (fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y)) y)
(*.f64 y #s(approx (+ (* (* (/ x y) (- (/ x y) -2)) y) y) (fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y)))
#s(approx (+ (* (* (/ x y) (- (/ x y) -2)) y) y) (fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) y)) (/.f64 (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) y))) (*.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) y)))) (+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) y))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x)) (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x)) (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x)) (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x)) (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x)) (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x)) (pow.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x) #s(literal 2 binary64))))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) (+.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -8 binary64) (fma.f64 (/.f64 x y) #s(literal -2 binary64) (+.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) (+.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) (+.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) (fma.f64 (/.f64 #s(literal -8 binary64) (fma.f64 (/.f64 x y) #s(literal -2 binary64) (+.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) (/.f64 #s(literal -8 binary64) (fma.f64 (/.f64 x y) #s(literal -2 binary64) (+.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) (+.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) (/.f64 #s(literal -8 binary64) (fma.f64 (/.f64 x y) #s(literal -2 binary64) (+.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)))) (neg.f64 (neg.f64 (+.f64 (/.f64 x y) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) (+.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 x y) #s(literal -2 binary64))) (*.f64 (+.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 4 binary64))) (*.f64 (+.f64 (/.f64 x y) #s(literal -2 binary64)) (+.f64 (/.f64 x y) #s(literal -2 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) (+.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) (+.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) #s(literal -8 binary64))) (*.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) (+.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))) (fma.f64 (/.f64 x y) #s(literal -2 binary64) (+.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64))) (neg.f64 (+.f64 (/.f64 x y) #s(literal -2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -8 binary64))) (neg.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) (+.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 4 binary64)) (+.f64 (/.f64 x y) #s(literal -2 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -8 binary64)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) (+.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))))
(neg.f64 (neg.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (+.f64 (/.f64 x y) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (/.f64 x y) #s(literal -2 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (fma.f64 (/.f64 x y) #s(literal -2 binary64) (+.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) (/.f64 #s(literal -8 binary64) (fma.f64 (/.f64 x y) #s(literal -2 binary64) (+.f64 #s(literal 4 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))))
(-.f64 (/.f64 x y) #s(literal -2 binary64))

eval8.0ms (0.2%)

Memory
17.8MiB live, 17.8MiB allocated
Compiler

Compiled 3 994 to 407 computations (89.8% saved)

prune36.0ms (1%)

Memory
-22.5MiB live, 35.9MiB allocated
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New68068
Fresh000
Picked011
Done044
Total68573
Accuracy
100.0%
Counts
73 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (+.f64 x y) (+.f64 x y))
66.0%
#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
93.7%
#s(approx (* (+ x y) (+ x y)) (*.f64 #s(approx (+ (* (* (/ x y) (- (/ x y) -2)) y) y) (fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y)) y))
54.3%
#s(approx (* (+ x y) (+ x y)) (*.f64 y y))
64.3%
#s(approx (* (+ x y) (+ x y)) (*.f64 x x))
Compiler

Compiled 172 to 72 computations (58.1% saved)

regimes14.0ms (0.4%)

Memory
-21.8MiB live, 24.4MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (* (+ x y) (+ x y)) (*.f64 x x))
#s(approx (* (+ x y) (+ x y)) (*.f64 y y))
#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
(*.f64 (+.f64 x y) (+.f64 x y))
#s(approx (* (+ x y) (+ x y)) (*.f64 #s(approx (+ (* (* (/ x y) (- (/ x y) -2)) y) y) (fma.f64 (-.f64 (/.f64 x y) #s(literal -2 binary64)) x y)) y))
#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 (*.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal -2 binary64))) y y) y))
Outputs
(*.f64 (+.f64 x y) (+.f64 x y))
Calls

4 calls:

7.0ms
(*.f64 (+.f64 x y) (+.f64 x y))
2.0ms
y
2.0ms
(+.f64 x y)
2.0ms
x
Results
AccuracySegmentsBranch
100.0%1(+.f64 x y)
100.0%1(*.f64 (+.f64 x y) (+.f64 x y))
100.0%1x
100.0%1y
Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes6.0ms (0.2%)

Memory
16.7MiB live, 16.7MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (* (+ x y) (+ x y)) (*.f64 x x))
#s(approx (* (+ x y) (+ x y)) (*.f64 y y))
#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
Outputs
#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
#s(approx (* (+ x y) (+ x y)) (*.f64 y y))
Calls

4 calls:

2.0ms
y
2.0ms
(+.f64 x y)
1.0ms
x
1.0ms
(*.f64 (+.f64 x y) (+.f64 x y))
Results
AccuracySegmentsBranch
99.4%2(+.f64 x y)
66.0%1(*.f64 (+.f64 x y) (+.f64 x y))
90.9%2x
88.6%2y
Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes1.0ms (0%)

Memory
3.0MiB live, 3.0MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (* (+ x y) (+ x y)) (*.f64 x x))
#s(approx (* (+ x y) (+ x y)) (*.f64 y y))
Outputs
#s(approx (* (+ x y) (+ x y)) (*.f64 x x))
#s(approx (* (+ x y) (+ x y)) (*.f64 y y))
Calls

1 calls:

1.0ms
(+.f64 x y)
Results
AccuracySegmentsBranch
99.0%2(+.f64 x y)
Compiler

Compiled 3 to 3 computations (0% saved)

regimes4.0ms (0.1%)

Memory
9.6MiB live, 9.6MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

1.0ms
x
1.0ms
(+.f64 x y)
1.0ms
y
1.0ms
(*.f64 (+.f64 x y) (+.f64 x y))
Results
AccuracySegmentsBranch
64.3%1(*.f64 (+.f64 x y) (+.f64 x y))
64.3%1y
64.3%1x
64.3%1(+.f64 x y)
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-2.6653091322139837e-153
-6.337575315718335e-164
Compiler

Compiled 8 to 9 computations (-12.5% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-2.6653091322139837e-153
-6.337575315718335e-164
Compiler

Compiled 8 to 9 computations (-12.5% saved)

simplify77.0ms (2.1%)

Memory
-33.7MiB live, 57.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01877
13177
26977
318977
453077
589777
6172877
7417077
8629277
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) (+.f64 x y))
(if (<=.f64 (+.f64 x y) #s(literal -7547924849643083/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976 binary64)) #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x)) #s(approx (* (+ x y) (+ x y)) (*.f64 y y)))
(if (<=.f64 (+.f64 x y) #s(literal -7547924849643083/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976 binary64)) #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) #s(approx (* (+ x y) (+ x y)) (*.f64 y y)))
#s(approx (* (+ x y) (+ x y)) (*.f64 x x))
Outputs
(*.f64 (+.f64 x y) (+.f64 x y))
(if (<=.f64 (+.f64 x y) #s(literal -7547924849643083/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976 binary64)) #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x)) #s(approx (* (+ x y) (+ x y)) (*.f64 y y)))
(if (<=.f64 (+.f64 x y) #s(literal -7547924849643083/3773962424821541352241554580988268890916921220416440428376206300245624162392148852086126725177658767541468375030763844899770584629924792632561434251432696043649395326976 binary64)) #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) #s(approx (* (+ x y) (+ x y)) (*.f64 y y)))
#s(approx (* (+ x y) (+ x y)) (*.f64 x x))

derivations275.0ms (7.3%)

Memory
3.5MiB live, 195.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065179
1218169
2725161
33280161
08199147
Stop Event
done
iter limit
node limit
Compiler

Compiled 77 to 18 computations (76.6% saved)

preprocess135.0ms (3.6%)

Memory
25.6MiB live, 172.6MiB allocated
Remove

(sort x y)

Compiler

Compiled 222 to 78 computations (64.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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