Examples.Basics.BasicTests:f3 from sbv-4.4

Time bar (total: 4.2s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Algorithm
1×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)

sample857.0ms (20.6%)

Memory
-27.9MiB live, 1 079.5MiB allocated
Samples
560.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 319.0ms
ival-mult: 233.0ms (73.2% of total)
ival-add: 76.0ms (23.9% of total)
ival-true: 6.0ms (1.9% of total)
ival-assert: 3.0ms (0.9% of total)
Bogosity

explain52.0ms (1.2%)

Memory
43.5MiB live, 87.8MiB 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
29.0ms512×0valid
Compiler

Compiled 35 to 16 computations (54.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-add: 3.0ms (44.5% of total)
ival-mult: 3.0ms (44.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess183.0ms (4.4%)

Memory
-20.3MiB live, 166.9MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×iter limit
1×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
1.1MiB live, 1.1MiB 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)

simplify58.0ms (1.4%)

Memory
11.6MiB live, 56.8MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×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

localize59.0ms (1.4%)

Memory
-9.0MiB live, 49.6MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 x y)
accuracy0.0078125
(*.f64 (+.f64 x y) (+.f64 x y))
Samples
56.0ms256×0valid
Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-mult: 38.0ms (75.5% of total)
ival-add: 12.0ms (23.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0.1%)

Memory
7.8MiB live, 7.8MiB 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
0.0ms
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))

simplify250.0ms (6%)

Memory
-13.0MiB live, 190.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065179
1218169
2725161
33280161
08199147
Stop Event
1×iter limit
1×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)))

rewrite201.0ms (4.8%)

Memory
-33.4MiB live, 205.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0410
068
1328
22538
331318
094418
Stop Event
1×iter limit
1×node limit
1×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)

eval124.0ms (3%)

Memory
46.8MiB live, 186.1MiB allocated
Compiler

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

prune17.0ms (0.4%)

Memory
-23.7MiB live, 64.0MiB 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))
▶57.8%
#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
▶59.0%
#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
▶56.7%
#s(approx (* (+ x y) (+ x y)) (*.f64 y y))
▶57.2%
#s(approx (* (+ x y) (+ x y)) (*.f64 x x))
Compiler

Compiled 57 to 32 computations (43.9% saved)

simplify102.0ms (2.5%)

Memory
3.7MiB live, 106.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
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
(fma.f64 #s(literal 2 binary64) x y)
cost-diff0
(*.f64 (fma.f64 #s(literal 2 binary64) x y) y)
cost-diff0
#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
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
01584
02384
15284
213884
338084
470184
5106284
6150684
7214084
8256784
9281184
10294384
0294384
Stop Event
1×iter limit
1×saturated
1×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) x y) y))
(*.f64 (fma.f64 #s(literal 2 binary64) x y) y)
(fma.f64 #s(literal 2 binary64) x y)
#s(literal 2 binary64)
x
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
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) x y) y))
(*.f64 (fma.f64 #s(literal 2 binary64) x y) y)
(fma.f64 #s(literal 2 binary64) x y)
#s(literal 2 binary64)
x
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

localize52.0ms (1.2%)

Memory
12.8MiB live, 102.4MiB allocated
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fma.f64 #s(literal 2 binary64) y x)
accuracy0.0078125
(*.f64 (fma.f64 #s(literal 2 binary64) y x) x)
accuracy27.000931378430753
#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
accuracy0.0
(fma.f64 #s(literal 2 binary64) x y)
accuracy0.015625
(*.f64 (fma.f64 #s(literal 2 binary64) x y) y)
accuracy26.257878302300007
#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
accuracy0.0
(*.f64 y y)
accuracy27.688688427350236
#s(approx (* (+ x y) (+ x y)) (*.f64 y y))
accuracy0.0
(*.f64 x x)
accuracy27.41225195252607
#s(approx (* (+ x y) (+ x y)) (*.f64 x x))
Samples
44.0ms256×0valid
Compiler

Compiled 68 to 15 computations (77.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-mult: 27.0ms (80.2% of total)
ival-add: 6.0ms (17.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series23.0ms (0.5%)

Memory
-26.3MiB live, 18.3MiB allocated
Counts
10 → 33
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) x y) y))
(*.f64 (fma.f64 #s(literal 2 binary64) x y) y)
(fma.f64 #s(literal 2 binary64) x 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)
Outputs
(pow y 2)
(+ (* 2 (* x y)) (pow y 2))
(+ (* x (+ x (* 2 y))) (pow y 2))
(pow x 2)
y
(+ y (* 2 x))
(* 2 (* x y))
(* x (+ x (* 2 y)))
(* 2 y)
(+ x (* 2 y))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(* x (+ (* 2 y) (/ (pow y 2) x)))
(* 2 x)
(* x (+ 2 (/ y x)))
x
(* x (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x))))
(* -1 (* x (+ (* -2 y) (* -1 (/ (pow y 2) x)))))
(* -1 (* x (- (* -1 (/ y x)) 2)))
(* -1 (* x (- (* -2 (/ y x)) 1)))
(+ (* 2 (* x y)) (pow x 2))
(+ (* y (+ y (* 2 x))) (pow x 2))
(* y (+ y (* 2 x)))
(* (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 (+ (* 2 x) (/ (pow x 2) y)))
(* y (+ 2 (/ x y)))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y))))
(* -1 (* y (- (* -2 (/ x y)) 1)))
(* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y)))))
(* -1 (* y (- (* -1 (/ x y)) 2)))
Calls

6 calls:

TimeVariablePointExpression
16.0ms
y
@-inf
((* (+ x y) (+ x y)) (* x x) (* (+ x y) (+ x y)) (* y y) (* (+ x y) (+ x y)) (* (+ (* 2 x) y) y) (+ (* 2 x) y) (* (+ x y) (+ x y)) (* (+ (* 2 y) x) x) (+ (* 2 y) x))
2.0ms
x
@inf
((* (+ x y) (+ x y)) (* x x) (* (+ x y) (+ x y)) (* y y) (* (+ x y) (+ x y)) (* (+ (* 2 x) y) y) (+ (* 2 x) y) (* (+ x y) (+ x y)) (* (+ (* 2 y) x) x) (+ (* 2 y) x))
1.0ms
x
@-inf
((* (+ x y) (+ x y)) (* x x) (* (+ x y) (+ x y)) (* y y) (* (+ x y) (+ x y)) (* (+ (* 2 x) y) y) (+ (* 2 x) y) (* (+ x y) (+ x y)) (* (+ (* 2 y) x) x) (+ (* 2 y) x))
1.0ms
x
@0
((* (+ x y) (+ x y)) (* x x) (* (+ x y) (+ x y)) (* y y) (* (+ x y) (+ x y)) (* (+ (* 2 x) y) y) (+ (* 2 x) y) (* (+ x y) (+ x y)) (* (+ (* 2 y) x) x) (+ (* 2 y) x))
1.0ms
y
@inf
((* (+ x y) (+ x y)) (* x x) (* (+ x y) (+ x y)) (* y y) (* (+ x y) (+ x y)) (* (+ (* 2 x) y) y) (+ (* 2 x) y) (* (+ x y) (+ x y)) (* (+ (* 2 y) x) x) (+ (* 2 y) x))

simplify268.0ms (6.4%)

Memory
30.9MiB live, 378.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
082291
1289283
21015267
34109267
08815249
Stop Event
1×iter limit
1×node limit
Counts
33 → 31
Calls
Call 1
Inputs
(pow y 2)
(+ (* 2 (* x y)) (pow y 2))
(+ (* x (+ x (* 2 y))) (pow y 2))
(pow x 2)
y
(+ y (* 2 x))
(* 2 (* x y))
(* x (+ x (* 2 y)))
(* 2 y)
(+ x (* 2 y))
(* (pow x 2) (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ y x)) (/ (pow y 2) (pow x 2)))))
(* x (+ (* 2 y) (/ (pow y 2) x)))
(* 2 x)
(* x (+ 2 (/ y x)))
x
(* x (+ 1 (* 2 (/ y x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x))))
(* -1 (* x (+ (* -2 y) (* -1 (/ (pow y 2) x)))))
(* -1 (* x (- (* -1 (/ y x)) 2)))
(* -1 (* x (- (* -2 (/ y x)) 1)))
(+ (* 2 (* x y)) (pow x 2))
(+ (* y (+ y (* 2 x))) (pow x 2))
(* y (+ y (* 2 x)))
(* (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 (+ (* 2 x) (/ (pow x 2) y)))
(* y (+ 2 (/ x y)))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y))))
(* -1 (* y (- (* -2 (/ x y)) 1)))
(* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y)))))
(* -1 (* y (- (* -1 (/ x y)) 2)))
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)
y
(+ y (* 2 x))
(fma.f64 #s(literal 2 binary64) x y)
(* 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)
(* (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 (*.f64 (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) x)
(* x (+ (* 2 y) (/ (pow y 2) x)))
(*.f64 (*.f64 y (+.f64 (/.f64 y x) #s(literal 2 binary64))) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (/ y x)))
(*.f64 (+.f64 (/.f64 y x) #s(literal 2 binary64)) x)
x
(* x (+ 1 (* 2 (/ y x))))
(*.f64 (fma.f64 (/.f64 y x) #s(literal 2 binary64) #s(literal 1 binary64)) x)
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -2 y) (* -1 (/ (pow y 2) x))) x))))
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (+.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) x)
(* -1 (* x (+ (* -2 y) (* -1 (/ (pow y 2) x)))))
(*.f64 (*.f64 y (+.f64 (/.f64 y x) #s(literal 2 binary64))) x)
(* -1 (* x (- (* -1 (/ y x)) 2)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 2 binary64)))
(* -1 (* x (- (* -2 (/ y x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (*.f64 #s(literal -2 binary64) (/.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))
(* y (+ y (* 2 x)))
(*.f64 (fma.f64 #s(literal 2 binary64) x y) y)
(* (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 (*.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) y) y)
(* y (+ 1 (* 2 (/ x y))))
(*.f64 (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal 1 binary64)) y)
(* y (+ (* 2 x) (/ (pow x 2) y)))
(*.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 2 binary64))) y)
(* y (+ 2 (/ x y)))
(*.f64 (+.f64 (/.f64 x y) #s(literal 2 binary64)) y)
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -2 x) (* -1 (/ (pow x 2) y))) y))))
(*.f64 (*.f64 (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) y) y)
(* -1 (* y (- (* -2 (/ x y)) 1)))
(*.f64 (neg.f64 y) (-.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) #s(literal 1 binary64)))
(* -1 (* y (+ (* -2 x) (* -1 (/ (pow x 2) y)))))
(*.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 2 binary64))) y)
(* -1 (* y (- (* -1 (/ x y)) 2)))
(*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 2 binary64)))

rewrite379.0ms (9.1%)

Memory
-27.8MiB live, 552.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01576
02368
18668
264868
0948164
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
10 → 2 498
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) x y) y))
(*.f64 (fma.f64 #s(literal 2 binary64) x y) y)
(fma.f64 #s(literal 2 binary64) x 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)
Outputs
#s(approx (* (+ x y) (+ x y)) (*.f64 x x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.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) 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 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
(exp.f64 (*.f64 (log.f64 (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)) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) y (pow.f64 y #s(literal 4 binary64))) (*.f64 (fma.f64 y y #s(literal 0 binary64)) y)) (-.f64 (*.f64 #s(literal -2 binary64) y) y))
(*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) y (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal -2 binary64) y (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) y) (*.f64 (fma.f64 y y #s(literal 0 binary64)) y)) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) y) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 #s(literal -2 binary64) y y))
(*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) y (pow.f64 y #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) y (pow.f64 y #s(literal 4 binary64))))) (-.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal -2 binary64) y)))
(*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) y (pow.f64 y #s(literal 4 binary64))) (pow.f64 (neg.f64 (fma.f64 y y #s(literal 0 binary64))) #s(literal 3 binary64))) (fma.f64 #s(literal -2 binary64) y (pow.f64 y #s(literal 4 binary64))))
(*.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) y (neg.f64 y))) (+.f64 x (-.f64 x (neg.f64 y))))
(*.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) y y)) (-.f64 (*.f64 #s(literal -2 binary64) y) y))
(*.f64 (fma.f64 #s(literal -2 binary64) y (neg.f64 y)) (neg.f64 (+.f64 x (-.f64 x (neg.f64 y)))))
(*.f64 (fma.f64 #s(literal -2 binary64) y (neg.f64 y)) (-.f64 (neg.f64 y) (*.f64 #s(literal -2 binary64) y)))
(*.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 y (-.f64 (*.f64 #s(literal -2 binary64) y) y)))
(*.f64 (fma.f64 #s(literal -2 binary64) y (pow.f64 y #s(literal 3 binary64))) (/.f64 y (neg.f64 (fma.f64 y y #s(literal 0 binary64)))))
(*.f64 (fma.f64 #s(literal -2 binary64) y y) (fma.f64 #s(literal -2 binary64) y y))
(*.f64 (fma.f64 #s(literal -2 binary64) y y) y)
(*.f64 y (fma.f64 #s(literal -2 binary64) y y))
(/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) y (pow.f64 y #s(literal 4 binary64))) y) (fma.f64 #s(literal -2 binary64) y y))
(/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) y (pow.f64 y #s(literal 3 binary64)))) y) (neg.f64 (neg.f64 (fma.f64 y y #s(literal 0 binary64)))))
(/.f64 (*.f64 y (neg.f64 (fma.f64 #s(literal -2 binary64) y (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y y #s(literal 0 binary64)))))
(/.f64 (*.f64 (neg.f64 (fma.f64 y y #s(literal 0 binary64))) y) (fma.f64 #s(literal -2 binary64) y y))
(/.f64 (*.f64 y (neg.f64 (fma.f64 y y #s(literal 0 binary64)))) (fma.f64 #s(literal -2 binary64) y y))
(/.f64 (-.f64 (pow.f64 (neg.f64 (fma.f64 y y #s(literal 0 binary64))) #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) y)) (fma.f64 #s(literal -2 binary64) y (pow.f64 y #s(literal 4 binary64))))
(/.f64 (fma.f64 #s(literal -2 binary64) y (pow.f64 y #s(literal 6 binary64))) (fma.f64 #s(literal -2 binary64) y (pow.f64 y #s(literal 4 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal -2 binary64) y) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) y (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (neg.f64 (fma.f64 y y #s(literal 0 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) y (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (-.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal -2 binary64) y))))
(/.f64 (neg.f64 (pow.f64 (neg.f64 (fma.f64 y y #s(literal 0 binary64))) #s(literal 3 binary64))) (neg.f64 (fma.f64 #s(literal -2 binary64) y (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal -2 binary64) y) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 #s(literal -2 binary64) y (pow.f64 y #s(literal 4 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) y)) (fma.f64 #s(literal -2 binary64) y y))
(/.f64 (-.f64 (*.f64 #s(literal -2 binary64) y) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (neg.f64 (fma.f64 y y #s(literal 0 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal -2 binary64) y) (pow.f64 y #s(literal 4 binary64))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) y (pow.f64 y #s(literal 4 binary64)))) (-.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal -2 binary64) y)))
(/.f64 (-.f64 (*.f64 #s(literal -2 binary64) y) (pow.f64 y #s(literal 6 binary64))) (neg.f64 (fma.f64 #s(literal -2 binary64) y (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (fma.f64 #s(literal -2 binary64) y (pow.f64 y #s(literal 4 binary64))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (pow.f64 (neg.f64 (fma.f64 y y #s(literal 0 binary64))) #s(literal 3 binary64)) (fma.f64 #s(literal -2 binary64) y (pow.f64 y #s(literal 4 binary64))))
(/.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) y) (-.f64 (*.f64 #s(literal -2 binary64) y) y))
(/.f64 (fma.f64 #s(literal -2 binary64) y (pow.f64 y #s(literal 3 binary64))) y)
(neg.f64 (fma.f64 y y #s(literal 0 binary64)))
(fma.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) y) (-.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 y x))
(fma.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 y) y (*.f64 x x)) y) (fma.f64 (neg.f64 y) y (*.f64 x x))) (+.f64 y x) (*.f64 y x))
(fma.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 y x) y)) (*.f64 y x))
(fma.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y (pow.f64 y #s(literal 4 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 y x))
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) y (pow.f64 y #s(literal 4 binary64))))) (-.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal -2 binary64) y)) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 (fma.f64 y y #s(literal 0 binary64)))) y))
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) y (pow.f64 y #s(literal 4 binary64))))) (-.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal -2 binary64) y)) (*.f64 y (/.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))))
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) y (pow.f64 y #s(literal 4 binary64))))) (-.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal -2 binary64) y)) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) y (pow.f64 y #s(literal 4 binary64))))) (-.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal -2 binary64) y)) (*.f64 y y))
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (pow.f64 (neg.f64 (fma.f64 y y #s(literal 0 binary64))) #s(literal 3 binary64))) (fma.f64 #s(literal -2 binary64) y (pow.f64 y #s(literal 4 binary64))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 (fma.f64 y y #s(literal 0 binary64)))) y))
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (pow.f64 (neg.f64 (fma.f64 y y #s(literal 0 binary64))) #s(literal 3 binary64))) (fma.f64 #s(literal -2 binary64) y (pow.f64 y #s(literal 4 binary64))) (*.f64 y (/.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))))
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (pow.f64 (neg.f64 (fma.f64 y y #s(literal 0 binary64))) #s(literal 3 binary64))) (fma.f64 #s(literal -2 binary64) y (pow.f64 y #s(literal 4 binary64))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (pow.f64 (neg.f64 (fma.f64 y y #s(literal 0 binary64))) #s(literal 3 binary64))) (fma.f64 #s(literal -2 binary64) y (pow.f64 y #s(literal 4 binary64))) (*.f64 y y))
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) y (pow.f64 x #s(literal 4 binary64))))) (-.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal -2 binary64) y)) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 (fma.f64 y y #s(literal 0 binary64)))) y))
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) y (pow.f64 x #s(literal 4 binary64))))) (-.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal -2 binary64) y)) (*.f64 y (/.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))))
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) y (pow.f64 x #s(literal 4 binary64))))) (-.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal -2 binary64) y)) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) y (pow.f64 x #s(literal 4 binary64))))) (-.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal -2 binary64) y)) (*.f64 y y))
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal -2 binary64) y))) (fma.f64 #s(literal -2 binary64) y (pow.f64 x #s(literal 4 binary64))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 (fma.f64 y y #s(literal 0 binary64)))) y))
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal -2 binary64) y))) (fma.f64 #s(literal -2 binary64) y (pow.f64 x #s(literal 4 binary64))) (*.f64 y (/.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))))
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal -2 binary64) y))) (fma.f64 #s(literal -2 binary64) y (pow.f64 x #s(literal 4 binary64))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (-.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal -2 binary64) y))) (fma.f64 #s(literal -2 binary64) y (pow.f64 x #s(literal 4 binary64))) (*.f64 y y))
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 (fma.f64 x x #s(literal 0 binary64)) x)) (neg.f64 (fma.f64 x x #s(literal 0 binary64))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 (fma.f64 y y #s(literal 0 binary64)))) y))
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 (fma.f64 x x #s(literal 0 binary64)) x)) (neg.f64 (fma.f64 x x #s(literal 0 binary64))) (*.f64 y (/.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))))
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 (fma.f64 x x #s(literal 0 binary64)) x)) (neg.f64 (fma.f64 x x #s(literal 0 binary64))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (*.f64 (fma.f64 x x #s(literal 0 binary64)) x)) (neg.f64 (fma.f64 x x #s(literal 0 binary64))) (*.f64 y y))
(fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) y (pow.f64 y #s(literal 4 binary64))) (*.f64 (fma.f64 y y #s(literal 0 binary64)) y)) (-.f64 (*.f64 #s(literal -2 binary64) y) y) (*.f64 #s(literal -2 binary64) (*.f64 y x)))
(fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) y (pow.f64 y #s(literal 4 binary64))) (*.f64 (fma.f64 y y #s(literal 0 binary64)) y)) (-.f64 (*.f64 #s(literal -2 binary64) y) y) (*.f64 (neg.f64 y) (*.f64 #s(literal -2 binary64) y)))
(fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) y (pow.f64 y #s(literal 4 binary64))) (*.f64 (fma.f64 y y #s(literal 0 binary64)) y)) (-.f64 (*.f64 #s(literal -2 binary64) y) y) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) y)))
(fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) y (pow.f64 y #s(literal 4 binary64))) (*.f64 (fma.f64 y y #s(literal 0 binary64)) y)) (-.f64 (*.f64 #s(literal -2 binary64) y) y) (*.f64 #s(literal -2 binary64) y))
(fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) y (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal -2 binary64) y (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (fma.f64 y y #s(literal 0 binary64))) (*.f64 #s(literal -2 binary64) (*.f64 y x)))
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(-.f64 x (*.f64 #s(literal -2 binary64) y))
(+.f64 (+.f64 y (/.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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) y))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (fma.f64 x x #s(literal 0 binary64)))) (*.f64 #s(literal -2 binary64) y))
(+.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.f64 #s(literal -2 binary64) y) x)))
(+.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (fma.f64 x x #s(literal 0 binary64)))))
(+.f64 (*.f64 #s(literal -2 binary64) y) x)
(+.f64 (neg.f64 y) (neg.f64 (-.f64 y x)))
(+.f64 (+.f64 y x) y)
(+.f64 y (+.f64 y x))
(+.f64 x (*.f64 #s(literal -2 binary64) y))

eval642.0ms (15.4%)

Memory
16.7MiB live, 477.2MiB allocated
Compiler

Compiled 60 051 to 6 489 computations (89.2% saved)

prune113.0ms (2.7%)

Memory
27.8MiB live, 120.5MiB allocated
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New2 52302 523
Fresh000
Picked044
Done011
Total2 52352 528
Accuracy
100.0%
Counts
2 528 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(*.f64 (+.f64 x y) (+.f64 x y))
✓57.8%
#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x))
✓59.0%
#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
✓56.7%
#s(approx (* (+ x y) (+ x y)) (*.f64 y y))
✓57.2%
#s(approx (* (+ x y) (+ x y)) (*.f64 x x))
Compiler

Compiled 114 to 49 computations (57% saved)

regimes58.0ms (1.4%)

Memory
-31.6MiB live, 15.3MiB allocated
Counts
5 → 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) x 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))
Outputs
(*.f64 (+.f64 x y) (+.f64 x y))
Calls

4 calls:

51.0ms
(*.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)

regimes7.0ms (0.2%)

Memory
14.1MiB live, 14.1MiB allocated
Counts
4 → 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) x 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 (fma.f64 #s(literal 2 binary64) x y) y))
Calls

4 calls:

2.0ms
(+.f64 x y)
2.0ms
y
2.0ms
x
2.0ms
(*.f64 (+.f64 x y) (+.f64 x y))
Results
AccuracySegmentsBranch
99.8%2(+.f64 x y)
62.0%2(*.f64 (+.f64 x y) (+.f64 x y))
91.0%2x
87.2%2y
Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes2.0ms (0%)

Memory
3.4MiB live, 3.4MiB 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) x y) y))
Outputs
#s(approx (* (+ x y) (+ x y)) (*.f64 x x))
#s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y))
Calls

1 calls:

2.0ms
(+.f64 x y)
Results
AccuracySegmentsBranch
99.4%2(+.f64 x y)
Compiler

Compiled 3 to 3 computations (0% saved)

regimes1.0ms (0%)

Memory
3.2MiB live, 3.2MiB 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
98.7%2(+.f64 x y)
Compiler

Compiled 3 to 3 computations (0% saved)

regimes4.0ms (0.1%)

Memory
10.2MiB live, 10.2MiB 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
(+.f64 x y)
1.0ms
x
1.0ms
y
1.0ms
(*.f64 (+.f64 x y) (+.f64 x y))
Results
AccuracySegmentsBranch
57.2%1(*.f64 (+.f64 x y) (+.f64 x y))
57.2%1y
57.2%1x
57.2%1(+.f64 x y)
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-2.696443002706279e-160
-3.5136679829262966e-166
Compiler

Compiled 8 to 9 computations (-12.5% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-2.696443002706279e-160
-3.5136679829262966e-166
Compiler

Compiled 8 to 9 computations (-12.5% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-2.696443002706279e-160
-3.5136679829262966e-166
Compiler

Compiled 8 to 9 computations (-12.5% saved)

simplify100.0ms (2.4%)

Memory
-40.5MiB live, 79.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022111
135111
273111
3193111
4547111
5904111
61727111
74184111
86294111
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) (+.f64 x y))
(if (<=.f64 (+.f64 x y) #s(literal -1582914569427869/7914572847139345089936080672628710081124203171238778877250017794972711203409019749450124833959777439667125485632516458859243681097816038718961476963260581373331416708758372352 binary64)) #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x)) #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)))
(if (<=.f64 (+.f64 x y) #s(literal -1582914569427869/7914572847139345089936080672628710081124203171238778877250017794972711203409019749450124833959777439667125485632516458859243681097816038718961476963260581373331416708758372352 binary64)) #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)))
(if (<=.f64 (+.f64 x y) #s(literal -1582914569427869/7914572847139345089936080672628710081124203171238778877250017794972711203409019749450124833959777439667125485632516458859243681097816038718961476963260581373331416708758372352 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 -1582914569427869/7914572847139345089936080672628710081124203171238778877250017794972711203409019749450124833959777439667125485632516458859243681097816038718961476963260581373331416708758372352 binary64)) #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) y x) x)) #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)))
(if (<=.f64 (+.f64 x y) #s(literal -1582914569427869/7914572847139345089936080672628710081124203171238778877250017794972711203409019749450124833959777439667125485632516458859243681097816038718961476963260581373331416708758372352 binary64)) #s(approx (* (+ x y) (+ x y)) (*.f64 x x)) #s(approx (* (+ x y) (+ x y)) (*.f64 (fma.f64 #s(literal 2 binary64) x y) y)))
(if (<=.f64 (+.f64 x y) #s(literal -1582914569427869/7914572847139345089936080672628710081124203171238778877250017794972711203409019749450124833959777439667125485632516458859243681097816038718961476963260581373331416708758372352 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))

soundness545.0ms (13.1%)

Memory
-3.5MiB live, 224.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 141 to 49 computations (65.2% saved)

preprocess59.0ms (1.4%)

Memory
29.2MiB live, 75.4MiB allocated
Remove

(sort x y)

Compiler

Compiled 290 to 86 computations (70.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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