From Rump in a 1983 paper

Time bar (total: 4.4s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
100%0%0%100%0%0%0%1
Compiler

Compiled 23 to 18 computations (21.7% saved)

sample1.0s (23.4%)

Memory
46.1MiB live, 1 356.9MiB allocated
Samples
679.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 445.0ms
ival-pow: 141.0ms (31.7% of total)
ival-mult: 136.0ms (30.5% of total)
ival-==: 52.0ms (11.7% of total)
ival-add: 45.0ms (10.1% of total)
ival-sub: 37.0ms (8.3% of total)
exact: 19.0ms (4.3% of total)
ival-and: 12.0ms (2.7% of total)
ival-assert: 3.0ms (0.7% of total)
Bogosity

explain170.0ms (3.8%)

Memory
-41.5MiB live, 180.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2560-0-(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))
00-0-(*.f64 #s(literal 2 binary64) (*.f64 y y))
00-0-#s(literal 9 binary64)
00-0-#s(literal 4 binary64)
00-0-(pow.f64 y #s(literal 4 binary64))
00-0-y
00-0-#s(literal 2 binary64)
01(10864.0 18817.0)0-(+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y)))
00-0-(pow.f64 x #s(literal 4 binary64))
00-0-(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
00-0-(*.f64 y y)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
+.f64(+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y)))cancellation10
-.f64(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))cancellation10
Confusion
Predicted +Predicted -
+2560
-00
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25600
-000
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
2256
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
46.0ms512×0valid
Compiler

Compiled 115 to 40 computations (65.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-mult: 16.0ms (53.3% of total)
ival-pow: 8.0ms (26.7% of total)
ival-sub: 2.0ms (6.7% of total)
ival-add: 2.0ms (6.7% of total)
exact: 1.0ms (3.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess68.0ms (1.5%)

Memory
30.0MiB live, 65.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02881
17879
222079
351979
4100879
5142279
6162179
7170779
8171779
01215
01915
12815
25515
39415
418115
535215
654915
764615
871015
971215
071214
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y)))
Outputs
(+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y)))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 y y) (pow.f64 y #s(literal 4 binary64)))))
Compiler

Compiled 15 to 12 computations (20% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
18.8%
(+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y)))
Compiler

Compiled 15 to 12 computations (20% saved)

simplify32.0ms (0.7%)

Memory
-25.4MiB live, 11.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 x #s(literal 4 binary64))
cost-diff0
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
cost-diff0
(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))
cost-diff1
(+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01248
01948
12848
25548
39448
418148
535248
654948
764648
871048
971248
071247
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y)))
(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal 9 binary64)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(pow.f64 y #s(literal 4 binary64))
y
(*.f64 #s(literal 2 binary64) (*.f64 y y))
#s(literal 2 binary64)
(*.f64 y y)
Outputs
(+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y)))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 y y) (pow.f64 y #s(literal 4 binary64)))))
(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
#s(literal 9 binary64)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(pow.f64 y #s(literal 4 binary64))
y
(*.f64 #s(literal 2 binary64) (*.f64 y y))
(*.f64 (*.f64 y y) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 y y)

localize31.0ms (0.7%)

Memory
27.3MiB live, 27.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 y y)
accuracy0.0
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
accuracy0.0
(*.f64 #s(literal 2 binary64) (*.f64 y y))
accuracy23.000000171982702
(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))
Samples
23.0ms256×0valid
Compiler

Compiled 50 to 14 computations (72% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-pow: 5.0ms (41.8% of total)
ival-mult: 4.0ms (33.4% of total)
ival-sub: 1.0ms (8.4% of total)
ival-add: 1.0ms (8.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.2%)

Memory
8.4MiB live, 8.4MiB allocated
Counts
6 → 16
Calls
Call 1
Inputs
(+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y)))
(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 y y))
(*.f64 y y)
Outputs
(- (* 2 (pow y 2)) (pow y 4))
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(* -1 (pow y 4))
(- (* 9 (pow x 4)) (pow y 4))
(* 9 (pow x 4))
(pow x 4)
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))
(+ (* 2 (pow y 2)) (* 9 (pow x 4)))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(+ (* -1 (pow y 4)) (* 9 (pow x 4)))
(* 2 (pow y 2))
(pow y 2)
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@inf
((+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (- (* 9 (pow x 4)) (pow y 4)) (* 9 (pow x 4)) (pow x 4) (* 2 (* y y)) (* y y))
1.0ms
x
@0
((+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (- (* 9 (pow x 4)) (pow y 4)) (* 9 (pow x 4)) (pow x 4) (* 2 (* y y)) (* y y))
1.0ms
y
@inf
((+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (- (* 9 (pow x 4)) (pow y 4)) (* 9 (pow x 4)) (pow x 4) (* 2 (* y y)) (* y y))
1.0ms
y
@-inf
((+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (- (* 9 (pow x 4)) (pow y 4)) (* 9 (pow x 4)) (pow x 4) (* 2 (* y y)) (* y y))
1.0ms
y
@0
((+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (- (* 9 (pow x 4)) (pow y 4)) (* 9 (pow x 4)) (pow x 4) (* 2 (* y y)) (* y y))

simplify197.0ms (4.4%)

Memory
-23.8MiB live, 140.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042145
197145
2198145
3399145
41031145
53498145
67687145
08026140
Stop Event
iter limit
node limit
Counts
16 → 16
Calls
Call 1
Inputs
(- (* 2 (pow y 2)) (pow y 4))
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(* -1 (pow y 4))
(- (* 9 (pow x 4)) (pow y 4))
(* 9 (pow x 4))
(pow x 4)
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))
(+ (* 2 (pow y 2)) (* 9 (pow x 4)))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(+ (* -1 (pow y 4)) (* 9 (pow x 4)))
(* 2 (pow y 2))
(pow y 2)
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))
Outputs
(- (* 2 (pow y 2)) (pow y 4))
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) y) y) (pow.f64 y #s(literal 3 binary64)))
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(fma.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* -1 (pow y 4))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(- (* 9 (pow x 4)) (pow y 4))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
(* 9 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(fma.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* (pow x 4) (+ 9 (* -1 (/ (pow y 4) (pow x 4)))))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
(+ (* 2 (pow y 2)) (* 9 (pow x 4)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (*.f64 (*.f64 y y) #s(literal 2 binary64)))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(fma.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(+ (* -1 (pow y 4)) (* 9 (pow x 4)))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
(* 2 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 2 binary64))
(pow y 2)
(*.f64 y y)
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) y) y) (pow.f64 y #s(literal 3 binary64)))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(fma.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* (pow y 4) (- (* 9 (/ (pow x 4) (pow y 4))) 1))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))

rewrite402.0ms (9.1%)

Memory
-12.0MiB live, 203.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01240
01940
16440
247140
3687540
0812739
Stop Event
iter limit
node limit
iter limit
Counts
6 → 250
Calls
Call 1
Inputs
(+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y)))
(-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 y y))
(*.f64 y y)
Outputs
(*.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64))))) (fma.f64 (*.f64 (*.f64 y y) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) y) y (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 3 binary64))) (-.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 y y)) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 y y)) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))))))
(*.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 y y)) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 6 binary64)))) (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 y y)) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64))) (-.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 y y)) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64))) (pow.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) y) y (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64)) (pow.f64 (fma.f64 #s(literal -2 binary64) (*.f64 y y) (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 y y) (pow.f64 y #s(literal 4 binary64))))))
(*.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 y y) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))))))
(*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -2 binary64) y) y (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64)))) #s(literal -1 binary64)) (fma.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))))
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(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64)) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) #s(literal 9 binary64) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64) (pow.f64 y #s(literal 8 binary64))))) (neg.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) #s(literal 9 binary64) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64) (pow.f64 y #s(literal 8 binary64)))))))
(+.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) x) x)
(*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 9 binary64))))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (*.f64 (*.f64 x x) x) x)
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 x x)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 x))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 x #s(literal 4 binary64))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) y) y)
(*.f64 (*.f64 y y) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 y y))
(*.f64 y (*.f64 #s(literal 2 binary64) y))
(*.f64 y y)
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))

eval46.0ms (1%)

Memory
9.9MiB live, 48.5MiB allocated
Compiler

Compiled 9 418 to 785 computations (91.7% saved)

prune18.0ms (0.4%)

Memory
-25.4MiB live, 14.3MiB allocated
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New2563259
Fresh000
Picked101
Done000
Total2573260
Accuracy
100.0%
Counts
260 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
3.1%
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) x) x (*.f64 (*.f64 y y) (fma.f64 (neg.f64 y) y #s(literal 2 binary64))))
100.0%
(fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
9.6%
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (*.f64 (*.f64 y y) #s(literal 2 binary64))))
Compiler

Compiled 58 to 43 computations (25.9% saved)

simplify68.0ms (1.5%)

Memory
19.2MiB live, 57.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) #s(literal 9 binary64))
cost-diff2
(*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) x)
cost-diff2
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) x) x (*.f64 (*.f64 y y) (fma.f64 (neg.f64 y) y #s(literal 2 binary64))))
cost-diff0
(fma.f64 y y #s(literal -2 binary64))
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 (neg.f64 y) y)
cost-diff0
(fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
cost-diff0
(*.f64 (*.f64 y y) #s(literal 2 binary64))
cost-diff0
(pow.f64 x #s(literal 4 binary64))
cost-diff0
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (*.f64 (*.f64 y y) #s(literal 2 binary64)))
cost-diff0
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (*.f64 (*.f64 y y) #s(literal 2 binary64))))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
029145
046141
195140
2211138
3431138
4681138
5990138
61305138
71527138
81724138
91817138
101829138
111829138
121831138
01831138
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (*.f64 (*.f64 y y) #s(literal 2 binary64))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (*.f64 (*.f64 y y) #s(literal 2 binary64)))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 9 binary64)
(*.f64 (*.f64 y y) #s(literal 2 binary64))
(*.f64 y y)
y
#s(literal 2 binary64)
(fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
(fma.f64 y y #s(literal -2 binary64))
#s(literal -2 binary64)
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 9 binary64)
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) x) x (*.f64 (*.f64 y y) (fma.f64 (neg.f64 y) y #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) x)
(*.f64 (*.f64 x x) #s(literal 9 binary64))
(*.f64 x x)
x
#s(literal 9 binary64)
(*.f64 (*.f64 y y) (fma.f64 (neg.f64 y) y #s(literal 2 binary64)))
(*.f64 y y)
y
(fma.f64 (neg.f64 y) y #s(literal 2 binary64))
(neg.f64 y)
#s(literal 2 binary64)
Outputs
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (*.f64 (*.f64 y y) #s(literal 2 binary64))))
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (*.f64 (*.f64 #s(literal 2 binary64) y) y)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (*.f64 (*.f64 y y) #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (*.f64 (*.f64 #s(literal 2 binary64) y) y))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 9 binary64)
(*.f64 (*.f64 y y) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) y) y)
(*.f64 y y)
y
#s(literal 2 binary64)
(fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 y y #s(literal -2 binary64)) y) y)))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
(fma.f64 y y #s(literal -2 binary64))
#s(literal -2 binary64)
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 9 binary64)
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) x) x (*.f64 (*.f64 y y) (fma.f64 (neg.f64 y) y #s(literal 2 binary64))))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 y y #s(literal -2 binary64)) y) y)))
(*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))
(*.f64 (*.f64 x x) #s(literal 9 binary64))
(*.f64 x x)
x
#s(literal 9 binary64)
(*.f64 (*.f64 y y) (fma.f64 (neg.f64 y) y #s(literal 2 binary64)))
(*.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) y) y)
(*.f64 y y)
y
(fma.f64 (neg.f64 y) y #s(literal 2 binary64))
(neg.f64 y)
#s(literal 2 binary64)

localize103.0ms (2.3%)

Memory
-16.1MiB live, 70.7MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 y y)
accuracy0.0
(*.f64 x x)
accuracy0.0
(neg.f64 y)
accuracy61.99859042974503
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) x) x (*.f64 (*.f64 y y) (fma.f64 (neg.f64 y) y #s(literal 2 binary64))))
accuracy0.0
(pow.f64 x #s(literal 4 binary64))
accuracy0.0
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
accuracy0.0
(*.f64 (neg.f64 y) y)
accuracy0.0
(neg.f64 y)
accuracy0.0
(pow.f64 x #s(literal 4 binary64))
accuracy0.0
(*.f64 (*.f64 y y) #s(literal 2 binary64))
accuracy0.0
(*.f64 y y)
accuracy57.8262914476167
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (*.f64 (*.f64 y y) #s(literal 2 binary64))))
Samples
65.0ms256×0valid
Compiler

Compiled 144 to 30 computations (79.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-add: 28.0ms (54.9% of total)
ival-mult: 16.0ms (31.4% of total)
ival-pow: 4.0ms (7.8% of total)
ival-sub: 1.0ms (2% of total)
ival-neg: 1.0ms (2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series13.0ms (0.3%)

Memory
22.7MiB live, 22.7MiB allocated
Counts
14 → 27
Calls
Call 1
Inputs
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (*.f64 (*.f64 y y) #s(literal 2 binary64))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (*.f64 (*.f64 y y) #s(literal 2 binary64)))
(pow.f64 x #s(literal 4 binary64))
(*.f64 (*.f64 y y) #s(literal 2 binary64))
(fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
(fma.f64 y y #s(literal -2 binary64))
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) x) x (*.f64 (*.f64 y y) (fma.f64 (neg.f64 y) y #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) x)
(*.f64 (*.f64 x x) #s(literal 9 binary64))
(*.f64 x x)
(*.f64 y y)
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
Outputs
(- (* 2 (pow y 2)) (pow y 4))
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(* 2 (pow y 2))
(+ (* 2 (pow y 2)) (* 9 (pow x 4)))
(pow x 4)
(* -1 (* (pow y 2) (- (pow y 2) 2)))
(+ (* -1 (* (pow y 2) (- (pow y 2) 2))) (* 9 (pow x 4)))
(* (pow y 2) (+ 2 (* -1 (pow y 2))))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(* 9 (pow x 3))
(* 9 (pow x 2))
(pow x 2)
(* 9 (pow x 4))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* (pow x 4) (+ 9 (* 2 (/ (pow y 2) (pow x 4)))))
(* (pow x 4) (+ 9 (* -1 (/ (* (pow y 2) (- (pow y 2) 2)) (pow x 4)))))
(* (pow x 4) (+ 9 (/ (* (pow y 2) (+ 2 (* -1 (pow y 2)))) (pow x 4))))
(* -1 (pow y 2))
(* -1 y)
-2
(- (pow y 2) 2)
(pow y 2)
(* -1 (pow y 4))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* (pow y 2) (+ 2 (* 9 (/ (pow x 4) (pow y 2)))))
(* (pow y 2) (- 1 (* 2 (/ 1 (pow y 2)))))
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@0
((+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (+ (* (pow x 4) 9) (* (* y y) 2)) (pow x 4) (* (* y y) 2) (+ (* (* (neg y) y) (+ (* y y) -2)) (* (pow x 4) 9)) (* (neg y) y) (neg y) (+ (* y y) -2) (+ (* (* (* (* x x) 9) x) x) (* (* y y) (+ (* (neg y) y) 2))) (* (* (* x x) 9) x) (* (* x x) 9) (* x x) (* y y) (* (pow x 4) 9))
2.0ms
x
@inf
((+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (+ (* (pow x 4) 9) (* (* y y) 2)) (pow x 4) (* (* y y) 2) (+ (* (* (neg y) y) (+ (* y y) -2)) (* (pow x 4) 9)) (* (neg y) y) (neg y) (+ (* y y) -2) (+ (* (* (* (* x x) 9) x) x) (* (* y y) (+ (* (neg y) y) 2))) (* (* (* x x) 9) x) (* (* x x) 9) (* x x) (* y y) (* (pow x 4) 9))
2.0ms
x
@-inf
((+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (+ (* (pow x 4) 9) (* (* y y) 2)) (pow x 4) (* (* y y) 2) (+ (* (* (neg y) y) (+ (* y y) -2)) (* (pow x 4) 9)) (* (neg y) y) (neg y) (+ (* y y) -2) (+ (* (* (* (* x x) 9) x) x) (* (* y y) (+ (* (neg y) y) 2))) (* (* (* x x) 9) x) (* (* x x) 9) (* x x) (* y y) (* (pow x 4) 9))
2.0ms
y
@inf
((+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (+ (* (pow x 4) 9) (* (* y y) 2)) (pow x 4) (* (* y y) 2) (+ (* (* (neg y) y) (+ (* y y) -2)) (* (pow x 4) 9)) (* (neg y) y) (neg y) (+ (* y y) -2) (+ (* (* (* (* x x) 9) x) x) (* (* y y) (+ (* (neg y) y) 2))) (* (* (* x x) 9) x) (* (* x x) 9) (* x x) (* y y) (* (pow x 4) 9))
1.0ms
y
@-inf
((+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (+ (* (pow x 4) 9) (* (* y y) 2)) (pow x 4) (* (* y y) 2) (+ (* (* (neg y) y) (+ (* y y) -2)) (* (pow x 4) 9)) (* (neg y) y) (neg y) (+ (* y y) -2) (+ (* (* (* (* x x) 9) x) x) (* (* y y) (+ (* (neg y) y) 2))) (* (* (* x x) 9) x) (* (* x x) 9) (* x x) (* y y) (* (pow x 4) 9))

simplify186.0ms (4.2%)

Memory
10.9MiB live, 125.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060224
1157224
2388224
31037224
43169224
57697224
08192212
Stop Event
iter limit
node limit
Counts
27 → 27
Calls
Call 1
Inputs
(- (* 2 (pow y 2)) (pow y 4))
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(* 2 (pow y 2))
(+ (* 2 (pow y 2)) (* 9 (pow x 4)))
(pow x 4)
(* -1 (* (pow y 2) (- (pow y 2) 2)))
(+ (* -1 (* (pow y 2) (- (pow y 2) 2))) (* 9 (pow x 4)))
(* (pow y 2) (+ 2 (* -1 (pow y 2))))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(* 9 (pow x 3))
(* 9 (pow x 2))
(pow x 2)
(* 9 (pow x 4))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* (pow x 4) (+ 9 (* 2 (/ (pow y 2) (pow x 4)))))
(* (pow x 4) (+ 9 (* -1 (/ (* (pow y 2) (- (pow y 2) 2)) (pow x 4)))))
(* (pow x 4) (+ 9 (/ (* (pow y 2) (+ 2 (* -1 (pow y 2)))) (pow x 4))))
(* -1 (pow y 2))
(* -1 y)
-2
(- (pow y 2) 2)
(pow y 2)
(* -1 (pow y 4))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* (pow y 2) (+ 2 (* 9 (/ (pow x 4) (pow y 2)))))
(* (pow y 2) (- 1 (* 2 (/ 1 (pow y 2)))))
Outputs
(- (* 2 (pow y 2)) (pow y 4))
(*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y)
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(fma.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* 2 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 2 binary64))
(+ (* 2 (pow y 2)) (* 9 (pow x 4)))
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* -1 (* (pow y 2) (- (pow y 2) 2)))
(*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y)
(+ (* -1 (* (pow y 2) (- (pow y 2) 2))) (* 9 (pow x 4)))
(fma.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* (pow y 2) (+ 2 (* -1 (pow y 2))))
(*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y)
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(fma.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* 9 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))
(* 9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 9 binary64))
(pow x 2)
(*.f64 x x)
(* 9 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(fma.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* (pow x 4) (+ 9 (* 2 (/ (pow y 2) (pow x 4)))))
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* (pow x 4) (+ 9 (* -1 (/ (* (pow y 2) (- (pow y 2) 2)) (pow x 4)))))
(fma.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* (pow x 4) (+ 9 (/ (* (pow y 2) (+ 2 (* -1 (pow y 2)))) (pow x 4))))
(fma.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 y)
(neg.f64 y)
-2
#s(literal -2 binary64)
(- (pow y 2) 2)
(fma.f64 y y #s(literal -2 binary64))
(pow y 2)
(*.f64 y y)
(* -1 (pow y 4))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y)
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(fma.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 y y)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* (pow y 2) (+ 2 (* 9 (/ (pow x 4) (pow y 2)))))
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* (pow y 2) (- 1 (* 2 (/ 1 (pow y 2)))))
(fma.f64 y y #s(literal -2 binary64))

rewrite359.0ms (8.1%)

Memory
-14.0MiB live, 219.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029109
046105
1202104
21474102
0907599
Stop Event
iter limit
node limit
iter limit
Counts
14 → 753
Calls
Call 1
Inputs
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (*.f64 (*.f64 y y) #s(literal 2 binary64))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (*.f64 (*.f64 y y) #s(literal 2 binary64)))
(pow.f64 x #s(literal 4 binary64))
(*.f64 (*.f64 y y) #s(literal 2 binary64))
(fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
(fma.f64 y y #s(literal -2 binary64))
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) x) x (*.f64 (*.f64 y y) (fma.f64 (neg.f64 y) y #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) x)
(*.f64 (*.f64 x x) #s(literal 9 binary64))
(*.f64 x x)
(*.f64 y y)
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
Outputs
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))))
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 #s(literal -81 binary64) (pow.f64 x #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64) (*.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (*.f64 #s(literal -2 binary64) (*.f64 y y))))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 6 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) y) (fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)))))))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64) (*.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (*.f64 #s(literal -2 binary64) (*.f64 y y))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64) (*.f64 #s(literal -9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) y) y)))))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 6 binary64)))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) y) (fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)))))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (*.f64 #s(literal -2 binary64) (*.f64 y y)))) (/.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (*.f64 #s(literal -2 binary64) (*.f64 y y))))) (*.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (*.f64 #s(literal -2 binary64) (*.f64 y y)))) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (*.f64 #s(literal -2 binary64) (*.f64 y y)))))) (+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (*.f64 #s(literal -2 binary64) (*.f64 y y)))) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (*.f64 #s(literal -2 binary64) (*.f64 y y))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (*.f64 #s(literal -2 binary64) (*.f64 y y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (*.f64 #s(literal -2 binary64) (*.f64 y y)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (*.f64 #s(literal -2 binary64) (*.f64 y y)))) (/.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (*.f64 #s(literal -2 binary64) (*.f64 y y)))) (fma.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (*.f64 #s(literal -2 binary64) (*.f64 y y)))) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (*.f64 #s(literal -2 binary64) (*.f64 y y)))) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (*.f64 #s(literal -2 binary64) (*.f64 y y)))) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (*.f64 #s(literal -2 binary64) (*.f64 y y))))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 #s(literal -81 binary64) (pow.f64 x #s(literal 8 binary64))))) (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64) (*.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 4 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (*.f64 #s(literal -2 binary64) (*.f64 y y))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 6 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) y) (fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (*.f64 #s(literal -2 binary64) (*.f64 y y)))) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (*.f64 #s(literal -2 binary64) (*.f64 y y))) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)))) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (*.f64 #s(literal -2 binary64) (*.f64 y y))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (*.f64 #s(literal -2 binary64) (*.f64 y y)))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 #s(literal -81 binary64) (pow.f64 x #s(literal 8 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 #s(literal -81 binary64) (pow.f64 x #s(literal 8 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64) (*.f64 #s(literal -9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) y) y))))) (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64) (*.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (*.f64 #s(literal -2 binary64) (*.f64 y y)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 6 binary64))))) (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64) (*.f64 #s(literal -9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) y) y)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 6 binary64))))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) y) (fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64) (*.f64 #s(literal -4 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (*.f64 #s(literal -2 binary64) (*.f64 y y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64) (*.f64 #s(literal -9 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) y) y))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) y) (fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 9 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) y) y))
(fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 y) y) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(fma.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (*.f64 #s(literal -2 binary64) (*.f64 y y))) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (*.f64 #s(literal -2 binary64) (*.f64 y y))))))
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) x (*.f64 (*.f64 #s(literal 2 binary64) y) y))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 x x) (*.f64 (*.f64 #s(literal 2 binary64) y) y))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) y) y))
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (*.f64 (*.f64 #s(literal 2 binary64) y) y))
(fma.f64 #s(literal 2 binary64) (*.f64 y y) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(fma.f64 y (*.f64 #s(literal 2 binary64) y) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(fma.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) y) y))
(fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) y) y))
(-.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (*.f64 #s(literal -2 binary64) (*.f64 y y)))) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (*.f64 #s(literal -2 binary64) (*.f64 y y)))))
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (*.f64 #s(literal -2 binary64) (*.f64 y y)))) (neg.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (*.f64 #s(literal -2 binary64) (*.f64 y y))))))
(+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) y) y))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) y) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 x (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 x))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 x #s(literal 4 binary64))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) y) y)
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 y) y) #s(literal 2 binary64)))
(*.f64 (*.f64 y y) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 y y))
(*.f64 y (*.f64 #s(literal 2 binary64) y))
(neg.f64 (*.f64 (*.f64 (neg.f64 y) y) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 y) y) #s(literal 2 binary64)))
(*.f64 (/.f64 (fma.f64 (fma.f64 y y #s(literal -2 binary64)) (*.f64 y y) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (-.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)))) (/.f64 (fma.f64 (fma.f64 y y #s(literal -2 binary64)) (*.f64 y y) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 y y)))) #s(literal -1 binary64))))
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(fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 (fma.f64 y y #s(literal -2 binary64))) (*.f64 (neg.f64 y) y)))
(fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 (neg.f64 y)) (*.f64 (fma.f64 y y #s(literal -2 binary64)) y)))
(fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) (fma.f64 y y #s(literal -2 binary64)))))
(fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64))) (*.f64 y y)))
(fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 y) y) (fma.f64 (neg.f64 y) y #s(literal 2 binary64))))
(fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 y) (*.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) y)))
(fma.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 y y #s(literal -2 binary64)) (*.f64 y y)))
(-.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) y) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))))) (/.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) y) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))))))
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64)) (fma.f64 (*.f64 (fma.f64 y y #s(literal -2 binary64)) (*.f64 y y)) (fma.f64 (fma.f64 y y #s(literal -2 binary64)) (*.f64 y y) (*.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64)))) (/.f64 (*.f64 (pow.f64 (fma.f64 y y #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (*.f64 (fma.f64 y y #s(literal -2 binary64)) (*.f64 y y)) (fma.f64 (fma.f64 y y #s(literal -2 binary64)) (*.f64 y y) (*.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64)))))
(-.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 y y))))) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 y y))))))
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64)) (fma.f64 (fma.f64 y y #s(literal -2 binary64)) (*.f64 y y) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))) (/.f64 (*.f64 (pow.f64 (fma.f64 y y #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (fma.f64 y y #s(literal -2 binary64)) (*.f64 y y) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))))
(-.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 y y #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (fma.f64 y y #s(literal -2 binary64)) (*.f64 y y) (*.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64)) (fma.f64 (fma.f64 y y #s(literal -2 binary64)) (*.f64 y y) (*.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) y) y))
(-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (fma.f64 y y #s(literal -2 binary64)) (*.f64 y y)))
(-.f64 (fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (pow.f64 y #s(literal 4 binary64)))
(-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) (*.f64 y y)))
(+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 y y))))) (neg.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 y y)))))))
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64)) (fma.f64 (fma.f64 y y #s(literal -2 binary64)) (*.f64 y y) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))) (neg.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 y y #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (fma.f64 y y #s(literal -2 binary64)) (*.f64 y y) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))))))
(+.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 y y #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (fma.f64 y y #s(literal -2 binary64)) (*.f64 y y) (*.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64)) (fma.f64 (fma.f64 y y #s(literal -2 binary64)) (*.f64 y y) (*.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(+.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal -2 binary64) (*.f64 (neg.f64 y) y) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))))
(+.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))))
(+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) y)) y))
(+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) (*.f64 y y)))
(+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 (*.f64 (neg.f64 y) y) #s(literal 2 binary64)))
(+.f64 (*.f64 (fma.f64 y y #s(literal -2 binary64)) (*.f64 y y)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (neg.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) y)) y))
(+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal -2 binary64)) (neg.f64 y))) y))
(+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal -2 binary64)) y)) (neg.f64 y)))
(+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal -2 binary64)) (*.f64 y y))))
(+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (neg.f64 (fma.f64 y y #s(literal -2 binary64))) (*.f64 (neg.f64 y) y)))
(+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (neg.f64 (neg.f64 y)) (*.f64 (fma.f64 y y #s(literal -2 binary64)) y)))
(+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) (fma.f64 y y #s(literal -2 binary64)))))
(+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (neg.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64))) (*.f64 y y)))
(+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (*.f64 (neg.f64 y) y) (fma.f64 (neg.f64 y) y #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (neg.f64 y) (*.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) y)))
(+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (fma.f64 y y #s(literal -2 binary64)) (*.f64 y y)))
(+.f64 (fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (*.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 y) y) (neg.f64 y))) y))
(+.f64 (fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (*.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 y) y) y)) (neg.f64 y)))
(+.f64 (fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (*.f64 (neg.f64 (neg.f64 y)) (*.f64 y (*.f64 (neg.f64 y) y))))
(+.f64 (fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y))))
(+.f64 (fma.f64 (*.f64 #s(literal 2 binary64) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) y) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))))
(+.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) (*.f64 (neg.f64 y) y)))
(+.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) y) y))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 9 binary64))
(*.f64 (*.f64 x #s(literal 9 binary64)) (*.f64 x x))
(*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) x)
(*.f64 (*.f64 x x) (*.f64 x #s(literal 9 binary64)))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 9 binary64)))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (*.f64 x #s(literal 9 binary64)) x)
(*.f64 (*.f64 x x) #s(literal 9 binary64))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(*.f64 x x)
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 y y))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) y))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 (*.f64 y y) #s(literal 1 binary64))
(*.f64 y y)
(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))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 9 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)) x)
(*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(*.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 9 binary64)))
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))

eval101.0ms (2.3%)

Memory
1.7MiB live, 84.2MiB allocated
Compiler

Compiled 14 922 to 1 270 computations (91.5% saved)

prune35.0ms (0.8%)

Memory
-14.3MiB live, 23.7MiB allocated
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New5132515
Fresh000
Picked303
Done000
Total5162518
Accuracy
100.0%
Counts
518 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 9 binary64)))
11.1%
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) #s(approx (+ (* (pow x 4) 9) (* (* y y) 2)) (*.f64 (*.f64 y y) #s(literal 2 binary64))))
Compiler

Compiled 51 to 31 computations (39.2% saved)

simplify55.0ms (1.2%)

Memory
12.7MiB live, 51.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 (neg.f64 y) y)
cost-diff0
(fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 9 binary64)))
cost-diff4
(*.f64 (*.f64 x x) (*.f64 x x))
cost-diff0
(*.f64 y y)
cost-diff0
(*.f64 (*.f64 y y) #s(literal 2 binary64))
cost-diff0
#s(approx (+ (* (pow x 4) 9) (* (* y y) 2)) (*.f64 (*.f64 y y) #s(literal 2 binary64)))
cost-diff0
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) #s(approx (+ (* (pow x 4) 9) (* (* y y) 2)) (*.f64 (*.f64 y y) #s(literal 2 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027111
038111
177105
218099
340598
464298
597098
6125998
7149298
8161298
9162798
10162798
11163198
0163196
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) #s(approx (+ (* (pow x 4) 9) (* (* y y) 2)) (*.f64 (*.f64 y y) #s(literal 2 binary64))))
#s(approx (+ (* (pow x 4) 9) (* (* y y) 2)) (*.f64 (*.f64 y y) #s(literal 2 binary64)))
(*.f64 (*.f64 y y) #s(literal 2 binary64))
(*.f64 y y)
y
#s(literal 2 binary64)
(fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 9 binary64)))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
(fma.f64 y y #s(literal -2 binary64))
#s(literal -2 binary64)
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 9 binary64))
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 x x)
x
#s(literal 9 binary64)
Outputs
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) #s(approx (+ (* (pow x 4) 9) (* (* y y) 2)) (*.f64 (*.f64 y y) #s(literal 2 binary64))))
#s(approx (+ (* (pow x 4) 9) (* (* y y) 2)) (*.f64 (*.f64 y y) #s(literal 2 binary64)))
(*.f64 (*.f64 y y) #s(literal 2 binary64))
(*.f64 y y)
y
#s(literal 2 binary64)
(fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 9 binary64)))
(neg.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 y y #s(literal -2 binary64)) y) y)))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
(fma.f64 y y #s(literal -2 binary64))
#s(literal -2 binary64)
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 9 binary64))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(*.f64 (*.f64 x x) (*.f64 x x))
(pow.f64 x #s(literal 4 binary64))
(*.f64 x x)
x
#s(literal 9 binary64)

localize131.0ms (3%)

Memory
-5.1MiB live, 157.1MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 (*.f64 x x) (*.f64 x x))
accuracy0.0
(*.f64 (neg.f64 y) y)
accuracy0.0
(*.f64 x x)
accuracy0.0
(neg.f64 y)
accuracy0.0
(*.f64 (*.f64 y y) #s(literal 2 binary64))
accuracy0.0
(*.f64 y y)
accuracy56.77720091830955
#s(approx (+ (* (pow x 4) 9) (* (* y y) 2)) (*.f64 (*.f64 y y) #s(literal 2 binary64)))
accuracy57.8262914476167
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) #s(approx (+ (* (pow x 4) 9) (* (* y y) 2)) (*.f64 (*.f64 y y) #s(literal 2 binary64))))
Samples
90.0ms256×0valid
Compiler

Compiled 92 to 26 computations (71.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 75.0ms
ival-mult: 63.0ms (84% of total)
ival-add: 4.0ms (5.3% of total)
ival-pow: 4.0ms (5.3% of total)
ival-sub: 1.0ms (1.3% of total)
ival-neg: 1.0ms (1.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.2%)

Memory
21.6MiB live, 21.6MiB allocated
Counts
9 → 20
Calls
Call 1
Inputs
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) #s(approx (+ (* (pow x 4) 9) (* (* y y) 2)) (*.f64 (*.f64 y y) #s(literal 2 binary64))))
#s(approx (+ (* (pow x 4) 9) (* (* y y) 2)) (*.f64 (*.f64 y y) #s(literal 2 binary64)))
(*.f64 (*.f64 y y) #s(literal 2 binary64))
(*.f64 y y)
(*.f64 (*.f64 x x) (*.f64 x x))
(fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 9 binary64)))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
(*.f64 x x)
Outputs
(- (* 2 (pow y 2)) (pow y 4))
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(* 2 (pow y 2))
(+ (* 2 (pow y 2)) (* 9 (pow x 4)))
(pow x 4)
(* -1 (* (pow y 2) (- (pow y 2) 2)))
(+ (* -1 (* (pow y 2) (- (pow y 2) 2))) (* 9 (pow x 4)))
(pow x 2)
(* 9 (pow x 4))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* (pow x 4) (+ 9 (* 2 (/ (pow y 2) (pow x 4)))))
(* (pow x 4) (+ 9 (* -1 (/ (* (pow y 2) (- (pow y 2) 2)) (pow x 4)))))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(pow y 2)
(* -1 (pow y 2))
(* -1 y)
(* -1 (pow y 4))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* (pow y 2) (+ 2 (* 9 (/ (pow x 4) (pow y 2)))))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@inf
((+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (+ (* (pow x 4) 9) (* (* y y) 2)) (* (* y y) 2) (* y y) (* (* x x) (* x x)) (+ (* (* (neg y) y) (+ (* y y) -2)) (* (* (* x x) (* x x)) 9)) (* (neg y) y) (neg y) (* x x))
1.0ms
x
@0
((+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (+ (* (pow x 4) 9) (* (* y y) 2)) (* (* y y) 2) (* y y) (* (* x x) (* x x)) (+ (* (* (neg y) y) (+ (* y y) -2)) (* (* (* x x) (* x x)) 9)) (* (neg y) y) (neg y) (* x x))
1.0ms
y
@-inf
((+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (+ (* (pow x 4) 9) (* (* y y) 2)) (* (* y y) 2) (* y y) (* (* x x) (* x x)) (+ (* (* (neg y) y) (+ (* y y) -2)) (* (* (* x x) (* x x)) 9)) (* (neg y) y) (neg y) (* x x))
1.0ms
x
@inf
((+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (+ (* (pow x 4) 9) (* (* y y) 2)) (* (* y y) 2) (* y y) (* (* x x) (* x x)) (+ (* (* (neg y) y) (+ (* y y) -2)) (* (* (* x x) (* x x)) 9)) (* (neg y) y) (neg y) (* x x))
1.0ms
x
@-inf
((+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (+ (* (pow x 4) 9) (* (* y y) 2)) (* (* y y) 2) (* y y) (* (* x x) (* x x)) (+ (* (* (neg y) y) (+ (* y y) -2)) (* (* (* x x) (* x x)) 9)) (* (neg y) y) (neg y) (* x x))

simplify108.0ms (2.4%)

Memory
-1.4MiB live, 157.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050179
1130179
2313179
3862179
42308179
56491179
08338170
Stop Event
iter limit
node limit
Counts
20 → 20
Calls
Call 1
Inputs
(- (* 2 (pow y 2)) (pow y 4))
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(* 2 (pow y 2))
(+ (* 2 (pow y 2)) (* 9 (pow x 4)))
(pow x 4)
(* -1 (* (pow y 2) (- (pow y 2) 2)))
(+ (* -1 (* (pow y 2) (- (pow y 2) 2))) (* 9 (pow x 4)))
(pow x 2)
(* 9 (pow x 4))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(* (pow x 4) (+ 9 (* 2 (/ (pow y 2) (pow x 4)))))
(* (pow x 4) (+ 9 (* -1 (/ (* (pow y 2) (- (pow y 2) 2)) (pow x 4)))))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(pow y 2)
(* -1 (pow y 2))
(* -1 y)
(* -1 (pow y 4))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(* (pow y 2) (+ 2 (* 9 (/ (pow x 4) (pow y 2)))))
Outputs
(- (* 2 (pow y 2)) (pow y 4))
(*.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) y) y)
(- (+ (* 2 (pow y 2)) (* 9 (pow x 4))) (pow y 4))
(fma.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* 2 (pow y 2))
(*.f64 (*.f64 y y) #s(literal 2 binary64))
(+ (* 2 (pow y 2)) (* 9 (pow x 4)))
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* -1 (* (pow y 2) (- (pow y 2) 2)))
(*.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) y) y)
(+ (* -1 (* (pow y 2) (- (pow y 2) 2))) (* 9 (pow x 4)))
(fma.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(pow x 2)
(*.f64 x x)
(* 9 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(* (pow x 4) (- (+ 9 (* 2 (/ (pow y 2) (pow x 4)))) (/ (pow y 4) (pow x 4))))
(fma.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* (pow x 4) (+ 9 (* 2 (/ (pow y 2) (pow x 4)))))
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* (pow x 4) (+ 9 (* -1 (/ (* (pow y 2) (- (pow y 2) 2)) (pow x 4)))))
(fma.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(+ (* 9 (pow x 4)) (* (pow y 2) (+ 2 (* -1 (pow y 2)))))
(fma.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(pow y 2)
(*.f64 y y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 y)
(neg.f64 y)
(* -1 (pow y 4))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (- (* 2 (/ 1 (pow y 2))) 1))
(*.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) y) y)
(* (pow y 4) (- (+ (* 9 (/ (pow x 4) (pow y 4))) (* 2 (/ 1 (pow y 2)))) 1))
(fma.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 2 binary64)) y) y (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(* (pow y 2) (+ 2 (* 9 (/ (pow x 4) (pow y 2)))))
(fma.f64 (*.f64 y y) #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))

rewrite352.0ms (7.9%)

Memory
-17.6MiB live, 257.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02792
03884
116984
2108283
0877881
Stop Event
iter limit
node limit
iter limit
Counts
9 → 199
Calls
Call 1
Inputs
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) #s(approx (+ (* (pow x 4) 9) (* (* y y) 2)) (*.f64 (*.f64 y y) #s(literal 2 binary64))))
#s(approx (+ (* (pow x 4) 9) (* (* y y) 2)) (*.f64 (*.f64 y y) #s(literal 2 binary64)))
(*.f64 (*.f64 y y) #s(literal 2 binary64))
(*.f64 y y)
(*.f64 (*.f64 x x) (*.f64 x x))
(fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 9 binary64)))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
(*.f64 x x)
Outputs
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) #s(approx (+ (* (pow x 4) 9) (* (* y y) 2)) (*.f64 (*.f64 y y) #s(literal 2 binary64))))
#s(approx (+ (* (pow x 4) 9) (* (* y y) 2)) (*.f64 (*.f64 y y) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) y) y)
(*.f64 (*.f64 y y) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 y y))
(*.f64 y (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 1 binary64) (*.f64 y y))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 (*.f64 y y) #s(literal 1 binary64))
(*.f64 y y)
(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))
(/.f64 (*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (*.f64 (neg.f64 y) y)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) y))
(/.f64 (*.f64 (*.f64 (neg.f64 y) y) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (*.f64 y (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 y y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 x (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 x))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal 4 binary64))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(*.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 y y) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))))))
(*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64)) (*.f64 (pow.f64 (fma.f64 y y #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (*.f64 y (*.f64 (fma.f64 y y #s(literal -2 binary64)) y)))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 y y)))))))
(*.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 y y #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal -81 binary64) (pow.f64 x #s(literal 8 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y) (*.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 (fma.f64 y y #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (*.f64 y (*.f64 (fma.f64 y y #s(literal -2 binary64)) y))))))))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))))
(*.f64 (-.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 y y)))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (fma.f64 y y #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal -81 binary64) (pow.f64 x #s(literal 8 binary64)))) (pow.f64 (fma.f64 (*.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y) (*.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 y y) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))))))))
(*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y y) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64) (fma.f64 (pow.f64 (fma.f64 y y #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 y (*.f64 (fma.f64 y y #s(literal -2 binary64)) y)))))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64) (fma.f64 (pow.f64 (fma.f64 y y #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 y y) (*.f64 (fma.f64 y y #s(literal -2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))))))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (fma.f64 y y #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (*.f64 y (*.f64 (fma.f64 y y #s(literal -2 binary64)) y))))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 y y))))) (/.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 y y)))))) (*.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 y y))))) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 y y))))))) (+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 y y))))) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 y y)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 y y #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y) (*.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (*.f64 (pow.f64 (fma.f64 y y #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y) (*.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64)) (fma.f64 (*.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y) (*.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64)) (fma.f64 (*.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y) (*.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))))) (+.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 y y #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (*.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y) (*.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64)) (fma.f64 (*.f64 (fma.f64 y y #s(literal -2 binary64)) y) (neg.f64 y) (*.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64)))))))
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eval50.0ms (1.1%)

Memory
16.4MiB live, 54.2MiB allocated
Compiler

Compiled 7 347 to 732 computations (90% saved)

prune34.0ms (0.8%)

Memory
-19.7MiB live, 19.1MiB allocated
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2180218
Fresh000
Picked022
Done000
Total2182220
Accuracy
100.0%
Counts
220 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 9 binary64)))
11.1%
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) #s(approx (+ (* (pow x 4) 9) (* (* y y) 2)) (*.f64 (*.f64 y y) #s(literal 2 binary64))))
Compiler

Compiled 175 to 76 computations (56.6% saved)

regimes9.0ms (0.2%)

Memory
18.4MiB live, 18.4MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) #s(approx (+ (* (pow x 4) 9) (* (* y y) 2)) (*.f64 (*.f64 y y) #s(literal 2 binary64))))
(fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 9 binary64)))
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) x) x (*.f64 (*.f64 y y) (fma.f64 (neg.f64 y) y #s(literal 2 binary64))))
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (*.f64 (*.f64 y y) #s(literal 2 binary64))))
(fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))
(+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y)))
Outputs
(fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 9 binary64)))
Calls

5 calls:

2.0ms
(+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y)))
2.0ms
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
2.0ms
(pow.f64 x #s(literal 4 binary64))
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y)))
100.0%1(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
100.0%1(pow.f64 x #s(literal 4 binary64))
Compiler

Compiled 25 to 26 computations (-4% 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 (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) #s(approx (+ (* (pow x 4) 9) (* (* y y) 2)) (*.f64 (*.f64 y y) #s(literal 2 binary64))))
Outputs
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) #s(approx (+ (* (pow x 4) 9) (* (* y y) 2)) (*.f64 (*.f64 y y) #s(literal 2 binary64))))
Calls

5 calls:

1.0ms
(+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y)))
1.0ms
(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
1.0ms
(pow.f64 x #s(literal 4 binary64))
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
11.1%1x
11.1%1y
11.1%1(+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 y y)))
11.1%1(*.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))
11.1%1(pow.f64 x #s(literal 4 binary64))
Compiler

Compiled 25 to 26 computations (-4% saved)

simplify134.0ms (3%)

Memory
-5.0MiB live, 77.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02751
14551
27651
312051
422651
542451
687351
7289651
Stop Event
node limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 9 binary64)))
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) #s(approx (+ (* (pow x 4) 9) (* (* y y) 2)) (*.f64 (*.f64 y y) #s(literal 2 binary64))))
Outputs
(fma.f64 (*.f64 (neg.f64 y) y) (fma.f64 y y #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 9 binary64)))
#s(approx (+ (- (* 9 (pow x 4)) (pow y 4)) (* 2 (* y y))) #s(approx (+ (* (pow x 4) 9) (* (* y y) 2)) (*.f64 (*.f64 y y) #s(literal 2 binary64))))

soundness655.0ms (14.8%)

Memory
11.4MiB live, 475.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060224
1157224
2388224
31037224
43169224
57697224
08192212
042145
197145
2198145
3399145
41031145
53498145
67687145
08026140
01240
01940
16440
247140
3687540
0812739
029109
046105
1202104
21474102
0907599
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 108 to 67 computations (38% saved)

preprocess21.0ms (0.5%)

Memory
0.8MiB live, 38.6MiB allocated
Compiler

Compiled 132 to 82 computations (37.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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