Numeric.SpecFunctions:log1p from math-functions-0.1.5.2, A

Time bar (total: 5.8s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

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

Compiled 9 to 8 computations (11.1% saved)

sample701.0ms (12.1%)

Memory
19.5MiB live, 893.3MiB allocated
Samples
460.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 247.0ms
ival-mult: 193.0ms (78.1% of total)
ival-sub: 40.0ms (16.2% of total)
ival-true: 6.0ms (2.4% of total)
exact: 5.0ms (2% of total)
ival-assert: 3.0ms (1.2% of total)
Bogosity

explain75.0ms (1.3%)

Memory
3.7MiB live, 158.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-y
00-0-(-.f64 #s(literal 1 binary64) (*.f64 x y))
00-0-#s(literal 1 binary64)
00-0-(*.f64 x (-.f64 #s(literal 1 binary64) (*.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
32.0ms512×0valid
Compiler

Compiled 49 to 22 computations (55.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 12.0ms (80.7% of total)
ival-sub: 2.0ms (13.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess35.0ms (0.6%)

Memory
7.6MiB live, 44.1MiB allocated
Algorithm
egg-herbie
Rules
140×lower-fma.f64
140×lower-fma.f32
92×lower-*.f32
90×lower-*.f64
73×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01637
15937
212135
332335
457035
569235
670935
067
097
1187
2357
3657
41447
51917
62397
73197
83877
94047
104047
04047
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Outputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
Compiler

Compiled 9 to 6 computations (33.3% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify28.0ms (0.5%)

Memory
-19.3MiB live, 17.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x y)
cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 x y))
cost-diff0
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Rules
140×lower-fma.f64
140×lower-fma.f32
92×lower-*.f32
90×lower-*.f64
37×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
0918
11818
23518
36518
414418
519118
623918
731918
838718
940418
1040418
040418
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
x
(-.f64 #s(literal 1 binary64) (*.f64 x y))
#s(literal 1 binary64)
(*.f64 x y)
y
Outputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
x
(-.f64 #s(literal 1 binary64) (*.f64 x y))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 x y)
(*.f64 y x)
y

localize20.0ms (0.3%)

Memory
9.6MiB live, 45.5MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 #s(literal 1 binary64) (*.f64 x y))
accuracy0
(*.f64 x y)
accuracy0.06640625
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Samples
13.0ms256×0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 6.0ms (81.2% of total)
ival-sub: 1.0ms (13.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
12.0MiB live, 12.0MiB allocated
Counts
3 → 72
Calls
Call 1
Inputs
#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())
Outputs
#s(alt x (taylor 0 x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (* x y)))) (taylor 0 x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (* x y)))) (taylor 0 x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (* x y)))) (taylor 0 x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (pow x 2)) (/ x y))) (taylor inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (pow x 2)) (/ x y))) (taylor inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (pow x 2)) (/ x y))) (taylor inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) (taylor -inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) (taylor -inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) (taylor -inf y) (#s(alt (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) (patch (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) y)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) y)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) y)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) x)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) x)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) x)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 x) (/ 1 y))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 x) (/ 1 y))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 x) (/ 1 y))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 x y)) (patch (-.f64 #s(literal 1 binary64) (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
Calls

18 calls:

TimeVariablePointExpression
1.0ms
y
@inf
(* x y)
1.0ms
y
@0
(* x (- 1 (* x y)))
0.0ms
x
@0
(* x (- 1 (* x y)))
0.0ms
x
@inf
(* x (- 1 (* x y)))
0.0ms
x
@-inf
(* x (- 1 (* x y)))

simplify137.0ms (2.4%)

Memory
-6.8MiB live, 213.2MiB allocated
Algorithm
egg-herbie
Rules
2 369×lower-fma.f64
2 369×lower-fma.f32
2 177×lower-*.f64
2 177×lower-*.f32
1 260×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034368
1108332
2189332
3514332
42428332
55830332
08058332
Stop Event
iter limit
node limit
Counts
72 → 70
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(* -1 (* (pow x 2) y))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* -1 (* (pow x 2) y))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
1
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(* -1 (* x y))
(* x (- (/ 1 x) y))
(* x (- (/ 1 x) y))
(* x (- (/ 1 x) y))
(* -1 (* x y))
(* x (+ (* -1 y) (/ 1 x)))
(* x (+ (* -1 y) (/ 1 x)))
(* x (+ (* -1 y) (/ 1 x)))
1
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(* -1 (* x y))
(* y (- (/ 1 y) x))
(* y (- (/ 1 y) x))
(* y (- (/ 1 y) x))
(* -1 (* x y))
(* y (+ (* -1 x) (/ 1 y)))
(* y (+ (* -1 x) (/ 1 y)))
(* y (+ (* -1 x) (/ 1 y)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
Outputs
x
(* x (+ 1 (* -1 (* x y))))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(* x (+ 1 (* -1 (* x y))))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(* x (+ 1 (* -1 (* x y))))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) y) x)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) y) x)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
x
(+ x (* -1 (* (pow x 2) y)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(+ x (* -1 (* (pow x 2) y)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(+ x (* -1 (* (pow x 2) y)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) y) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) y) x)
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (* x y)))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(+ 1 (* -1 (* x y)))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(+ 1 (* -1 (* x y)))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* x (- (/ 1 x) y))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(* x (- (/ 1 x) y))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(* x (- (/ 1 x) y))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* x (+ (* -1 y) (/ 1 x)))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(* x (+ (* -1 y) (/ 1 x)))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(* x (+ (* -1 y) (/ 1 x)))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (* x y)))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(+ 1 (* -1 (* x y)))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(+ 1 (* -1 (* x y)))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* y (- (/ 1 y) x))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(* y (- (/ 1 y) x))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(* y (- (/ 1 y) x))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* y (+ (* -1 x) (/ 1 y)))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(* y (+ (* -1 x) (/ 1 y)))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(* y (+ (* -1 x) (/ 1 y)))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)

rewrite293.0ms (5%)

Memory
-12.8MiB live, 406.5MiB allocated
Rules
10 912×lower-fma.f64
10 912×lower-fma.f32
1 854×lower-*.f32
1 852×lower-*.f64
1 502×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
0915
13115
219015
3149715
0960213
Stop Event
iter limit
node limit
iter limit
Counts
3 → 614
Calls
Call 1
Inputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
(-.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 x y)
Outputs
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) y #s(literal 1 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 (*.f64 y y) x) #s(literal 1 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) y #s(literal 1 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) y) y #s(literal 1 binary64))) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) y) y) (fma.f64 (*.f64 (*.f64 x x) y) y #s(literal 1 binary64))))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) x) (fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) y) y) (fma.f64 (*.f64 (*.f64 x x) y) y #s(literal 1 binary64))) #s(literal 1 binary64))) (fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) y) y #s(literal 1 binary64))) x) (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal 1 binary64))))
(*.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 (*.f64 y y) x) #s(literal 1 binary64))) x) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
(*.f64 (*.f64 x (neg.f64 (fma.f64 (*.f64 (*.f64 x x) y) y #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal 1 binary64))))
(*.f64 (*.f64 x (neg.f64 (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (+.f64 x (*.f64 (*.f64 x x) y))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (*.f64 x x) y))))
(*.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) y) (*.f64 (*.f64 y y) x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y) (*.f64 (neg.f64 x) (*.f64 (*.f64 x (neg.f64 x)) y))))))
(*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) y #s(literal 1 binary64)) x)) (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal 1 binary64))))
(*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) x)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) y #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
(*.f64 (fma.f64 y x #s(literal 1 binary64)) x)
(*.f64 (fma.f64 (*.f64 (*.f64 x x) y) y #s(literal 1 binary64)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) y) y #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) x))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) (/.f64 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) x))
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x))
(*.f64 x (fma.f64 y x #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (neg.f64 x)) y) x))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y)) (*.f64 (*.f64 x x) y) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) x))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) y) y #s(literal 1 binary64))) x)) (fma.f64 y x #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 (*.f64 y y) x) #s(literal 1 binary64))) x)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 x (neg.f64 (fma.f64 (*.f64 (*.f64 x x) y) y #s(literal 1 binary64))))) (fma.f64 y x #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 x (neg.f64 (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 (*.f64 y y) x) #s(literal 1 binary64))))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (+.f64 x (*.f64 (*.f64 x x) y)))) (neg.f64 (+.f64 x (*.f64 (*.f64 x x) y))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) y) (*.f64 (*.f64 y y) x))))) (neg.f64 (fma.f64 x x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y) (*.f64 (neg.f64 x) (*.f64 (*.f64 x (neg.f64 x)) y))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) y #s(literal 1 binary64)) x))) (fma.f64 y x #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) x))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
(/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) y #s(literal 1 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) y) y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))))
(/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) y) y #s(literal 1 binary64))) x) (fma.f64 y x #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 (*.f64 y y) x) #s(literal 1 binary64))) x) (neg.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
(/.f64 (*.f64 x (neg.f64 (fma.f64 (*.f64 (*.f64 x x) y) y #s(literal 1 binary64)))) (fma.f64 y x #s(literal -1 binary64)))
(/.f64 (*.f64 x (neg.f64 (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (+.f64 x (*.f64 (*.f64 x x) y))) (+.f64 x (*.f64 (*.f64 x x) y)))
(/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) y) (*.f64 (*.f64 y y) x)))) (fma.f64 x x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y) (*.f64 (neg.f64 x) (*.f64 (*.f64 x (neg.f64 x)) y)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) y #s(literal 1 binary64)) x)) (fma.f64 y x #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) x)) (neg.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) y #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x))))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y x #s(literal -1 binary64)) (*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) y) y #s(literal 1 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 (*.f64 y y) x) #s(literal 1 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y x #s(literal -1 binary64)) (*.f64 x (neg.f64 (fma.f64 (*.f64 (*.f64 x x) y) y #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) (*.f64 x (neg.f64 (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 (*.f64 y y) x) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (*.f64 (*.f64 x x) y)) (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (+.f64 x (*.f64 (*.f64 x x) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y) (*.f64 (neg.f64 x) (*.f64 (*.f64 x (neg.f64 x)) y)))) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) y) (*.f64 (*.f64 y y) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x)))
(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))))
(fma.f64 (*.f64 x (neg.f64 x)) y x)
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(fma.f64 (*.f64 x x) (neg.f64 y) x)
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) y) x)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (*.f64 x (neg.f64 x)) y))
(fma.f64 (neg.f64 x) (*.f64 y x) x)
(fma.f64 (*.f64 (neg.f64 y) x) x x)
(fma.f64 (*.f64 y x) (neg.f64 x) x)
(fma.f64 y (*.f64 (neg.f64 x) x) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 x (neg.f64 x)) y))
(fma.f64 x (*.f64 (neg.f64 y) x) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 x (neg.f64 x)) y))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 (*.f64 x x) y))) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y)) (+.f64 x (*.f64 (*.f64 x x) y))))
(-.f64 x (*.f64 (*.f64 x x) y))
(+.f64 (*.f64 (*.f64 x (neg.f64 x)) y) x)
(+.f64 x (*.f64 (*.f64 x (neg.f64 x)) y))
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(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y)) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 x x))) (*.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 x x) y) (*.f64 (*.f64 y y) x)) (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) y) (*.f64 (*.f64 y y) x))) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 (*.f64 x x) y) (*.f64 (*.f64 y y) x)))) (*.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 x x) y) (*.f64 (*.f64 y y) x)) (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y x #s(literal -1 binary64))) (fma.f64 y x #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))) (fma.f64 y x #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) y) y #s(literal 1 binary64))) (fma.f64 y x #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) y) (*.f64 (*.f64 y y) x)) (*.f64 y x)) (fma.f64 (*.f64 (*.f64 x x) y) y #s(literal 1 binary64))) (fma.f64 y x #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 x x) y) y) (fma.f64 (*.f64 (*.f64 x x) y) y #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 y x #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y)) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 x x))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) y) y) (fma.f64 (*.f64 (*.f64 x x) y) y #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 y x #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 (*.f64 y y) x) #s(literal 1 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 y y)) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 x x))) (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 (*.f64 y y) x) #s(literal 1 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 x x) y) (*.f64 (*.f64 y y) x)) (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) y) (*.f64 (*.f64 y y) x))) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 (*.f64 x x) y) (*.f64 (*.f64 y y) x)))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) y) (*.f64 (*.f64 y y) x)) (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) y) y) (fma.f64 y x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 x x) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 x x) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 y y) y) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))))
(-.f64 #s(literal 0 binary64) (fma.f64 y x #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) x))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) (*.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) y) y) (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 (*.f64 y y) x) #s(literal 1 binary64)))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) (*.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) y) y) (fma.f64 (*.f64 (*.f64 x x) y) y #s(literal 1 binary64)))) (fma.f64 y x #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) (*.f64 (neg.f64 (*.f64 (*.f64 y y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) (*.f64 (neg.f64 (*.f64 y y)) (/.f64 (*.f64 x x) (fma.f64 y x #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) (*.f64 (neg.f64 (*.f64 x x)) (/.f64 (*.f64 y y) (fma.f64 y x #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 y) x) (/.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) (*.f64 (neg.f64 y) (/.f64 (*.f64 (*.f64 x x) y) (fma.f64 y x #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) (*.f64 (neg.f64 x) (/.f64 (*.f64 (*.f64 y y) x) (fma.f64 y x #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))))
(+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) (neg.f64 (*.f64 (*.f64 (*.f64 x x) y) (/.f64 y (fma.f64 y x #s(literal 1 binary64))))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) (*.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) y) (*.f64 (*.f64 y y) x)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) y) y) (fma.f64 (*.f64 (*.f64 x x) y) y #s(literal 1 binary64)))))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) (*.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) y) (*.f64 (*.f64 y y) x)) (fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) y) y) (fma.f64 (*.f64 (*.f64 x x) y) y #s(literal 1 binary64))) #s(literal 1 binary64)))) (fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) (*.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) (*.f64 (*.f64 (neg.f64 y) (*.f64 y y)) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) (*.f64 (*.f64 (neg.f64 y) x) (/.f64 (*.f64 (*.f64 (*.f64 x x) y) y) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (/.f64 (*.f64 y x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 (*.f64 y y) y) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 y y) y) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))))
(+.f64 (*.f64 (neg.f64 y) x) #s(literal 1 binary64))
(+.f64 #s(literal 0 binary64) (fma.f64 y x #s(literal 1 binary64)))
(+.f64 (*.f64 y x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 y #s(literal -1 binary64))) x))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) x) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (neg.f64 x)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 y)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) x))
(+.f64 #s(literal 1 binary64) (*.f64 y x))
(*.f64 (pow.f64 (*.f64 y x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y x) #s(literal 1/2 binary64)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 y)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) x))
(*.f64 (*.f64 y x) #s(literal 1 binary64))
(*.f64 y x)
(*.f64 #s(literal 1 binary64) (*.f64 y x))
(*.f64 x y)
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x) (*.f64 (neg.f64 y) x))
(/.f64 (*.f64 (*.f64 (*.f64 x x) y) (*.f64 (*.f64 y y) x)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x x) y) y) #s(literal 0 binary64))))
(neg.f64 (*.f64 (neg.f64 y) x))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) x))
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 y x)))
(+.f64 #s(literal 0 binary64) (*.f64 y x))

eval123.0ms (2.1%)

Memory
17.5MiB live, 132.2MiB allocated
Compiler

Compiled 27 249 to 1 630 computations (94% saved)

prune107.0ms (1.8%)

Memory
5.4MiB live, 203.6MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New6786684
Fresh000
Picked101
Done000
Total6796685
Accuracy
100.0%
Counts
685 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (*.f64 (neg.f64 y) x) x x)
90.3%
(fma.f64 (*.f64 x (neg.f64 x)) y x)
99.8%
(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))))
99.7%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) x))
55.8%
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)))
46.5%
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
Compiler

Compiled 110 to 66 computations (40% saved)

simplify67.0ms (1.2%)

Memory
-37.5MiB live, 54.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 y x #s(literal -1 binary64))
cost-diff0
(/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))
cost-diff960
(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))))
cost-diff0
(neg.f64 x)
cost-diff0
(*.f64 x (neg.f64 x))
cost-diff0
(fma.f64 (*.f64 x (neg.f64 x)) y x)
cost-diff0
(neg.f64 x)
cost-diff0
(*.f64 (neg.f64 x) y)
cost-diff0
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))
cost-diff0
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)))
cost-diff0
#s(approx (- 1 (* x y)) #s(literal 1 binary64))
cost-diff0
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 (neg.f64 y) x)
cost-diff0
(fma.f64 (*.f64 (neg.f64 y) x) x x)
Rules
196×lower-fma.f32
193×lower-fma.f64
148×lower-*.f32
143×lower-*.f64
101×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02099
03598
16698
210298
317098
422598
550798
695198
7128698
8129498
9130098
10131098
11131298
0131298
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 (neg.f64 y) x) x x)
(*.f64 (neg.f64 y) x)
(neg.f64 y)
y
x
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
x
#s(approx (- 1 (* x y)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)))
x
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))
(*.f64 (neg.f64 x) y)
(neg.f64 x)
y
(fma.f64 (*.f64 x (neg.f64 x)) y x)
(*.f64 x (neg.f64 x))
x
(neg.f64 x)
y
(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))))
x
(/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))
#s(literal -1 binary64)
(fma.f64 y x #s(literal -1 binary64))
y
Outputs
(fma.f64 (*.f64 (neg.f64 y) x) x x)
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
(*.f64 (neg.f64 y) x)
(neg.f64 y)
y
x
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
(*.f64 #s(approx (- 1 (* x y)) #s(literal 1 binary64)) x)
x
#s(approx (- 1 (* x y)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)))
(*.f64 #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) x)
x
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))
(*.f64 (neg.f64 x) y)
(*.f64 (neg.f64 y) x)
(neg.f64 x)
y
(fma.f64 (*.f64 x (neg.f64 x)) y x)
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
(*.f64 x (neg.f64 x))
(*.f64 (neg.f64 x) x)
x
(neg.f64 x)
y
(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))))
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
x
(/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal -1 binary64)))
#s(literal -1 binary64)
(fma.f64 y x #s(literal -1 binary64))
(fma.f64 x y #s(literal -1 binary64))
y

localize66.0ms (1.1%)

Memory
7.7MiB live, 123.5MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 y x #s(literal -1 binary64))
accuracy0.10546875
(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))))
accuracy0.135097509768442
(/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))
accuracy0
(*.f64 x (neg.f64 x))
accuracy0
(neg.f64 x)
accuracy6.223465005478135
(fma.f64 (*.f64 x (neg.f64 x)) y x)
accuracy0
(*.f64 (neg.f64 x) y)
accuracy0
(neg.f64 x)
accuracy0.06640625
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)))
accuracy28.92752998228538
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))
accuracy0.06640625
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
accuracy34.348877917797545
#s(approx (- 1 (* x y)) #s(literal 1 binary64))
accuracy0
(*.f64 (neg.f64 y) x)
accuracy0
(neg.f64 y)
accuracy0.0546875
(fma.f64 (*.f64 (neg.f64 y) x) x x)
Samples
37.0ms256×0valid
Compiler

Compiled 92 to 22 computations (76.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 12.0ms (48.4% of total)
ival-neg: 4.0ms (16.1% of total)
ival-div: 3.0ms (12.1% of total)
ival-add: 3.0ms (12.1% of total)
ival-sub: 1.0ms (4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series16.0ms (0.3%)

Memory
31.8MiB live, 31.8MiB allocated
Counts
14 → 300
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 (neg.f64 y) x) x x) (patch (fma.f64 (*.f64 (neg.f64 y) x) x x) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* x y)) #s(literal 1 binary64)) (patch #s(approx (- 1 (* x y)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))) (patch (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)) (patch #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 x) y) (patch (*.f64 (neg.f64 x) y) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 x (neg.f64 x)) y x) (patch (fma.f64 (*.f64 x (neg.f64 x)) y x) #<representation binary64>) () ())
#s(alt (*.f64 x (neg.f64 x)) (patch (*.f64 x (neg.f64 x)) #<representation binary64>) () ())
#s(alt (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))) (patch (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 y x #s(literal -1 binary64)) (patch (fma.f64 y x #s(literal -1 binary64)) #<representation binary64>) () ())
Outputs
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (*.f64 (neg.f64 y) x) x x) (patch (fma.f64 (*.f64 (neg.f64 y) x) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 (neg.f64 y) x) x x) (patch (fma.f64 (*.f64 (neg.f64 y) x) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 (neg.f64 y) x) x x) (patch (fma.f64 (*.f64 (neg.f64 y) x) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 (neg.f64 y) x) x x) (patch (fma.f64 (*.f64 (neg.f64 y) x) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor inf y) (#s(alt (fma.f64 (*.f64 (neg.f64 y) x) x x) (patch (fma.f64 (*.f64 (neg.f64 y) x) x x) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (pow x 2)) (/ x y))) (taylor inf y) (#s(alt (fma.f64 (*.f64 (neg.f64 y) x) x x) (patch (fma.f64 (*.f64 (neg.f64 y) x) x x) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (pow x 2)) (/ x y))) (taylor inf y) (#s(alt (fma.f64 (*.f64 (neg.f64 y) x) x x) (patch (fma.f64 (*.f64 (neg.f64 y) x) x x) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (pow x 2)) (/ x y))) (taylor inf y) (#s(alt (fma.f64 (*.f64 (neg.f64 y) x) x x) (patch (fma.f64 (*.f64 (neg.f64 y) x) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf y) (#s(alt (fma.f64 (*.f64 (neg.f64 y) x) x x) (patch (fma.f64 (*.f64 (neg.f64 y) x) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) (taylor -inf y) (#s(alt (fma.f64 (*.f64 (neg.f64 y) x) x x) (patch (fma.f64 (*.f64 (neg.f64 y) x) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) (taylor -inf y) (#s(alt (fma.f64 (*.f64 (neg.f64 y) x) x x) (patch (fma.f64 (*.f64 (neg.f64 y) x) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) (taylor -inf y) (#s(alt (fma.f64 (*.f64 (neg.f64 y) x) x x) (patch (fma.f64 (*.f64 (neg.f64 y) x) x x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (fma.f64 (*.f64 (neg.f64 y) x) x x) (patch (fma.f64 (*.f64 (neg.f64 y) x) x x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (* x y)))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 (neg.f64 y) x) x x) (patch (fma.f64 (*.f64 (neg.f64 y) x) x x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (* x y)))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 (neg.f64 y) x) x x) (patch (fma.f64 (*.f64 (neg.f64 y) x) x x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (* x y)))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 (neg.f64 y) x) x x) (patch (fma.f64 (*.f64 (neg.f64 y) x) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor inf x) (#s(alt (fma.f64 (*.f64 (neg.f64 y) x) x x) (patch (fma.f64 (*.f64 (neg.f64 y) x) x x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 (*.f64 (neg.f64 y) x) x x) (patch (fma.f64 (*.f64 (neg.f64 y) x) x x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 (*.f64 (neg.f64 y) x) x x) (patch (fma.f64 (*.f64 (neg.f64 y) x) x x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 (*.f64 (neg.f64 y) x) x x) (patch (fma.f64 (*.f64 (neg.f64 y) x) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (neg.f64 y) x) x x) (patch (fma.f64 (*.f64 (neg.f64 y) x) x x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (neg.f64 y) x) x x) (patch (fma.f64 (*.f64 (neg.f64 y) x) x x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (neg.f64 y) x) x x) (patch (fma.f64 (*.f64 (neg.f64 y) x) x x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (neg.f64 y) x) x x) (patch (fma.f64 (*.f64 (neg.f64 y) x) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor inf y) (#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor inf y) (#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor inf y) (#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor inf y) (#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf y) (#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf y) (#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf y) (#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf y) (#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 x) (#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 x) (#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 x) (#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 x) (#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor inf x) (#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor inf x) (#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor inf x) (#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor inf x) (#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (* x y)))) (taylor 0 x) (#s(alt (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (* x y)))) (taylor 0 x) (#s(alt (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (* x y)))) (taylor 0 x) (#s(alt (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor inf x) (#s(alt (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor inf x) (#s(alt (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor inf x) (#s(alt (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor inf x) (#s(alt (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) (taylor -inf y) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x y)) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- (* x (pow y 2)) (* -1 y)))) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- (* x (- (* x (pow y 3)) (* -1 (pow y 2)))) (* -1 y)))) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x y)) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x)) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) (pow x 2))) (+ (/ 1 y) (/ 1 (* x (pow y 2))))) x) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x y)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (/ 1 y) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) (pow y 3))))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 y) (#s(alt (fma.f64 y x #s(literal -1 binary64)) (patch (fma.f64 y x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* x y) 1) (taylor 0 y) (#s(alt (fma.f64 y x #s(literal -1 binary64)) (patch (fma.f64 y x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* x y) 1) (taylor 0 y) (#s(alt (fma.f64 y x #s(literal -1 binary64)) (patch (fma.f64 y x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* x y) 1) (taylor 0 y) (#s(alt (fma.f64 y x #s(literal -1 binary64)) (patch (fma.f64 y x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (fma.f64 y x #s(literal -1 binary64)) (patch (fma.f64 y x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (- x (/ 1 y))) (taylor inf y) (#s(alt (fma.f64 y x #s(literal -1 binary64)) (patch (fma.f64 y x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (- x (/ 1 y))) (taylor inf y) (#s(alt (fma.f64 y x #s(literal -1 binary64)) (patch (fma.f64 y x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* y (- x (/ 1 y))) (taylor inf y) (#s(alt (fma.f64 y x #s(literal -1 binary64)) (patch (fma.f64 y x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (fma.f64 y x #s(literal -1 binary64)) (patch (fma.f64 y x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (/ 1 y)))) (taylor -inf y) (#s(alt (fma.f64 y x #s(literal -1 binary64)) (patch (fma.f64 y x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (/ 1 y)))) (taylor -inf y) (#s(alt (fma.f64 y x #s(literal -1 binary64)) (patch (fma.f64 y x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 x) (/ 1 y)))) (taylor -inf y) (#s(alt (fma.f64 y x #s(literal -1 binary64)) (patch (fma.f64 y x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (fma.f64 y x #s(literal -1 binary64)) (patch (fma.f64 y x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* x y) 1) (taylor 0 x) (#s(alt (fma.f64 y x #s(literal -1 binary64)) (patch (fma.f64 y x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* x y) 1) (taylor 0 x) (#s(alt (fma.f64 y x #s(literal -1 binary64)) (patch (fma.f64 y x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* x y) 1) (taylor 0 x) (#s(alt (fma.f64 y x #s(literal -1 binary64)) (patch (fma.f64 y x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (fma.f64 y x #s(literal -1 binary64)) (patch (fma.f64 y x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- y (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 y x #s(literal -1 binary64)) (patch (fma.f64 y x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- y (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 y x #s(literal -1 binary64)) (patch (fma.f64 y x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- y (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 y x #s(literal -1 binary64)) (patch (fma.f64 y x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (fma.f64 y x #s(literal -1 binary64)) (patch (fma.f64 y x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 y x #s(literal -1 binary64)) (patch (fma.f64 y x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 y x #s(literal -1 binary64)) (patch (fma.f64 y x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 y x #s(literal -1 binary64)) (patch (fma.f64 y x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
Calls

75 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(/ x (/ -1 (+ (* y x) -1)))
0.0ms
y
@0
(+ (* (* (neg y) x) x) x)
0.0ms
x
@0
(/ x (/ -1 (+ (* y x) -1)))
0.0ms
y
@inf
(+ (* (* (neg y) x) x) x)
0.0ms
y
@-inf
(/ x (/ -1 (+ (* y x) -1)))

simplify203.0ms (3.5%)

Memory
-3.3MiB live, 218.3MiB allocated
Algorithm
egg-herbie
Rules
5 504×lower-fma.f64
5 504×lower-fma.f32
1 904×lower-*.f64
1 904×lower-*.f32
1 198×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01361860
13781720
28861708
336981708
086871678
Stop Event
iter limit
node limit
Counts
300 → 290
Calls
Call 1
Inputs
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(* -1 (* (pow x 2) y))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* -1 (* (pow x 2) y))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(* -1 (* (pow x 2) y))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* -1 (* (pow x 2) y))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
1
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(* -1 (* x y))
(* x (- (/ 1 x) y))
(* x (- (/ 1 x) y))
(* x (- (/ 1 x) y))
(* -1 (* x y))
(* x (+ (* -1 y) (/ 1 x)))
(* x (+ (* -1 y) (/ 1 x)))
(* x (+ (* -1 y) (/ 1 x)))
1
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(* -1 (* x y))
(* y (- (/ 1 y) x))
(* y (- (/ 1 y) x))
(* y (- (/ 1 y) x))
(* -1 (* x y))
(* y (+ (* -1 x) (/ 1 y)))
(* y (+ (* -1 x) (/ 1 y)))
(* y (+ (* -1 x) (/ 1 y)))
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(* -1 (* (pow x 2) y))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* -1 (* (pow x 2) y))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
1
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(* -1 (* x y))
(* x (- (/ 1 x) y))
(* x (- (/ 1 x) y))
(* x (- (/ 1 x) y))
(* -1 (* x y))
(* x (+ (* -1 y) (/ 1 x)))
(* x (+ (* -1 y) (/ 1 x)))
(* x (+ (* -1 y) (/ 1 x)))
1
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(* -1 (* x y))
(* y (- (/ 1 y) x))
(* y (- (/ 1 y) x))
(* y (- (/ 1 y) x))
(* -1 (* x y))
(* y (+ (* -1 x) (/ 1 y)))
(* y (+ (* -1 x) (/ 1 y)))
(* y (+ (* -1 x) (/ 1 y)))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(* -1 (* (pow x 2) y))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* -1 (* (pow x 2) y))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(* -1 (* (pow x 2) y))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* -1 (* (pow x 2) y))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
1
(+ 1 (* x y))
(+ 1 (* y (- (* (pow x 2) y) (* -1 x))))
(+ 1 (* y (- (* y (- (* (pow x 3) y) (* -1 (pow x 2)))) (* -1 x))))
(/ -1 (* x y))
(* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y))
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) (pow y 2))) (+ (/ 1 x) (/ 1 (* (pow x 2) y)))) y)
(/ -1 (* x y))
(* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y))
(* -1 (/ (+ (/ 1 x) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 3) (pow y 2))))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y))
1
(+ 1 (* x y))
(+ 1 (* x (- (* x (pow y 2)) (* -1 y))))
(+ 1 (* x (- (* x (- (* x (pow y 3)) (* -1 (pow y 2)))) (* -1 y))))
(/ -1 (* x y))
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x))
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x)
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) (pow x 2))) (+ (/ 1 y) (/ 1 (* x (pow y 2))))) x)
(/ -1 (* x y))
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x))
(* -1 (/ (+ (/ 1 y) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) (pow y 3))))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x))
-1
(- (* x y) 1)
(- (* x y) 1)
(- (* x y) 1)
(* x y)
(* y (- x (/ 1 y)))
(* y (- x (/ 1 y)))
(* y (- x (/ 1 y)))
(* x y)
(* -1 (* y (+ (* -1 x) (/ 1 y))))
(* -1 (* y (+ (* -1 x) (/ 1 y))))
(* -1 (* y (+ (* -1 x) (/ 1 y))))
-1
(- (* x y) 1)
(- (* x y) 1)
(- (* x y) 1)
(* x y)
(* x (- y (/ 1 x)))
(* x (- y (/ 1 x)))
(* x (- y (/ 1 x)))
(* x y)
(* -1 (* x (+ (* -1 y) (/ 1 x))))
(* -1 (* x (+ (* -1 y) (/ 1 x))))
(* -1 (* x (+ (* -1 y) (/ 1 x))))
Outputs
x
(+ x (* -1 (* (pow x 2) y)))
(fma.f64 (neg.f64 x) (*.f64 y x) x)
(+ x (* -1 (* (pow x 2) y)))
(fma.f64 (neg.f64 x) (*.f64 y x) x)
(+ x (* -1 (* (pow x 2) y)))
(fma.f64 (neg.f64 x) (*.f64 y x) x)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) y) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(fma.f64 (neg.f64 x) (*.f64 y x) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(fma.f64 (neg.f64 x) (*.f64 y x) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(fma.f64 (neg.f64 x) (*.f64 y x) x)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) y) x)
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(fma.f64 (neg.f64 x) (*.f64 y x) x)
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(fma.f64 (neg.f64 x) (*.f64 y x) x)
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(fma.f64 (neg.f64 x) (*.f64 y x) x)
x
(* x (+ 1 (* -1 (* x y))))
(fma.f64 (neg.f64 x) (*.f64 y x) x)
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(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 y x) x)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) y))) (*.f64 y y)) (/.f64 #s(literal -1 binary64) x))) y)
1
#s(literal 1 binary64)
(+ 1 (* x y))
(fma.f64 y x #s(literal 1 binary64))
(+ 1 (* x (- (* x (pow y 2)) (* -1 y))))
(fma.f64 (fma.f64 (*.f64 y y) x y) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (- (* x (pow y 3)) (* -1 (pow y 2)))) (* -1 y))))
(fma.f64 (fma.f64 (*.f64 y (fma.f64 (*.f64 y y) x y)) x y) x #s(literal 1 binary64))
(/ -1 (* x y))
(/.f64 #s(literal -1 binary64) (*.f64 y x))
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x))
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 y x) y) x)) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x)
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 y x) y) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) (pow x 2))) (+ (/ 1 y) (/ 1 (* x (pow y 2))))) x)
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(/ -1 (* x y))
(/.f64 #s(literal -1 binary64) (*.f64 y x))
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x))
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 y x) y) x)) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(* -1 (/ (+ (/ 1 y) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) (pow y 3))))) x))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 y x) y) y)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
-1
#s(literal -1 binary64)
(- (* x y) 1)
(fma.f64 y x #s(literal -1 binary64))
(- (* x y) 1)
(fma.f64 y x #s(literal -1 binary64))
(- (* x y) 1)
(fma.f64 y x #s(literal -1 binary64))
(* x y)
(*.f64 y x)
(* y (- x (/ 1 y)))
(fma.f64 y x #s(literal -1 binary64))
(* y (- x (/ 1 y)))
(fma.f64 y x #s(literal -1 binary64))
(* y (- x (/ 1 y)))
(fma.f64 y x #s(literal -1 binary64))
(* x y)
(*.f64 y x)
(* -1 (* y (+ (* -1 x) (/ 1 y))))
(fma.f64 y x #s(literal -1 binary64))
(* -1 (* y (+ (* -1 x) (/ 1 y))))
(fma.f64 y x #s(literal -1 binary64))
(* -1 (* y (+ (* -1 x) (/ 1 y))))
(fma.f64 y x #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* x y) 1)
(fma.f64 y x #s(literal -1 binary64))
(- (* x y) 1)
(fma.f64 y x #s(literal -1 binary64))
(- (* x y) 1)
(fma.f64 y x #s(literal -1 binary64))
(* x y)
(*.f64 y x)
(* x (- y (/ 1 x)))
(fma.f64 y x #s(literal -1 binary64))
(* x (- y (/ 1 x)))
(fma.f64 y x #s(literal -1 binary64))
(* x (- y (/ 1 x)))
(fma.f64 y x #s(literal -1 binary64))
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (/ 1 x))))
(fma.f64 y x #s(literal -1 binary64))
(* -1 (* x (+ (* -1 y) (/ 1 x))))
(fma.f64 y x #s(literal -1 binary64))
(* -1 (* x (+ (* -1 y) (/ 1 x))))
(fma.f64 y x #s(literal -1 binary64))

rewrite570.0ms (9.8%)

Memory
-154.3MiB live, 384.5MiB allocated
Rules
3 848×lower-fma.f32
3 845×lower-fma.f64
2 102×lower-*.f32
2 097×lower-*.f64
1 229×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02086
03585
113385
265385
3641385
0803685
Stop Event
iter limit
node limit
iter limit
Counts
14 → 953
Calls
Call 1
Inputs
(fma.f64 (*.f64 (neg.f64 y) x) x x)
(*.f64 (neg.f64 y) x)
(neg.f64 y)
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
#s(approx (- 1 (* x y)) #s(literal 1 binary64))
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)))
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))
(*.f64 (neg.f64 x) y)
(neg.f64 x)
(fma.f64 (*.f64 x (neg.f64 x)) y x)
(*.f64 x (neg.f64 x))
(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))
(fma.f64 y x #s(literal -1 binary64))
Outputs
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x y) (*.f64 x y) #s(literal -1 binary64)) (neg.f64 x)) (fma.f64 (*.f64 (*.f64 x y) y) (*.f64 (*.f64 x y) x) #s(literal 1 binary64))) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x y) (*.f64 x y) #s(literal -1 binary64)) (neg.f64 x)) (neg.f64 (fma.f64 (*.f64 x y) (*.f64 x y) #s(literal -1 binary64)))) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x y) (*.f64 x y) #s(literal -1 binary64)) (neg.f64 x)) (fma.f64 (*.f64 x y) (*.f64 x y) #s(literal -1 binary64))) (fma.f64 x y #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x y) y) (*.f64 (*.f64 x y) x) #s(literal -1 binary64)) (neg.f64 x)) (*.f64 (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x y) y) x (fma.f64 x (neg.f64 y) #s(literal -1 binary64))))) (fma.f64 (*.f64 (*.f64 x y) y) x (fma.f64 x (neg.f64 y) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x y) y) (*.f64 (*.f64 x y) x) #s(literal -1 binary64)) (neg.f64 x)) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) y) (*.f64 (*.f64 x y) x)) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 x y #s(literal 1 binary64))) (fma.f64 x y #s(literal 1 binary64))))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) y) x) (*.f64 (*.f64 x y) y)) x (*.f64 (fma.f64 x y #s(literal 1 binary64)) (-.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x y) y) x)))))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x y) (*.f64 x y) #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 y (*.f64 x (neg.f64 y))) x) (*.f64 x y)) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (neg.f64 x) x) x))) (fma.f64 (*.f64 (*.f64 (*.f64 x y) x) (*.f64 x y)) x (*.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) (*.f64 x x))))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 x (neg.f64 y))) x) (*.f64 x y) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y)) (*.f64 x x)) (*.f64 x (-.f64 (*.f64 (*.f64 (*.f64 x y) x) (*.f64 x y)) (+.f64 x (*.f64 (*.f64 x y) x)))))) (*.f64 x (-.f64 (*.f64 (*.f64 (*.f64 x y) x) (*.f64 x y)) (+.f64 x (*.f64 (*.f64 x y) x)))))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 x (neg.f64 y))) x) (*.f64 x y) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 (*.f64 (+.f64 x (*.f64 (*.f64 x y) x)) x) x) (+.f64 x (*.f64 (*.f64 x y) x))) (*.f64 (+.f64 x (*.f64 (*.f64 x y) x)) x) (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 x y) x) (*.f64 (*.f64 x y) x))) (*.f64 (*.f64 (*.f64 x y) y) x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) x) (*.f64 (*.f64 x y) x)) (*.f64 (*.f64 (*.f64 x y) x) (*.f64 x x))) y (*.f64 (*.f64 (+.f64 x (*.f64 (*.f64 x y) x)) x) (-.f64 (*.f64 (+.f64 x (*.f64 (*.f64 x y) x)) x) (*.f64 (*.f64 (*.f64 x y) x) (*.f64 (*.f64 x y) x))))))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x y) (*.f64 x y) #s(literal -1 binary64))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x y) (*.f64 x y) #s(literal -1 binary64)))) (*.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) x))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 x (neg.f64 y))) x) (*.f64 x y) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y)) (*.f64 x x))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x y #s(literal -1 binary64)) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x y #s(literal -1 binary64)) x)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x y) (*.f64 x y) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))))
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 x y) y) (*.f64 (*.f64 x y) x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (*.f64 x y) #s(literal -1 binary64)))) (/.f64 x (fma.f64 x y #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x y) y) (*.f64 (*.f64 x y) x) #s(literal -1 binary64)))) (/.f64 x (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y) #s(literal 1 binary64))))
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (*.f64 x y) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal 1 binary64))))
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x y) y) (*.f64 (*.f64 x y) x) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y) #s(literal 1 binary64))))
(*.f64 (*.f64 (fma.f64 (*.f64 x y) (*.f64 x y) #s(literal -1 binary64)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x y) y) (*.f64 (*.f64 x y) x) #s(literal -1 binary64)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y) #s(literal 1 binary64))))
(*.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 x y) x) (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (*.f64 x y) x))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) y x)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x y) (*.f64 x y) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y)) (*.f64 x x))) (*.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 x (neg.f64 y))) x) (*.f64 x y) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)))
(*.f64 (*.f64 (fma.f64 x y #s(literal -1 binary64)) x) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 x (neg.f64 y))) x) (*.f64 x y) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y) #s(literal 1 binary64))) x))
(*.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x y) (*.f64 x y) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) y x)))
(*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 x (neg.f64 y))) x) (*.f64 x y) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y)) (*.f64 x x)))))
(*.f64 (*.f64 (fma.f64 (*.f64 x y) (*.f64 x y) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal -1 binary64))))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x y) y) (*.f64 (*.f64 x y) x) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y) #s(literal 1 binary64)))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x y) (*.f64 x y) #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) x))
(*.f64 (fma.f64 (*.f64 x y) (*.f64 x y) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) (neg.f64 x)))
(*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x y) (*.f64 x y) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) y x)))
(*.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) x)
(*.f64 (fma.f64 (*.f64 (*.f64 x y) y) (*.f64 (*.f64 x y) x) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y) #s(literal 1 binary64))) (neg.f64 x)))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y)) (*.f64 x x)) (/.f64 (*.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) x) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y)) (*.f64 x x))))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y)) (*.f64 x x)) (*.f64 (*.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y)) (*.f64 x x)))))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 x (neg.f64 y))) x) (*.f64 x y) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y)) (*.f64 x x))))
(*.f64 (fma.f64 x y #s(literal -1 binary64)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x y #s(literal -1 binary64)) x))
(*.f64 (neg.f64 x) (fma.f64 x y #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) x))
(*.f64 (*.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) x) (/.f64 (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x)) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x))))
(*.f64 (*.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) x) (*.f64 (*.f64 (fma.f64 x y #s(literal 1 binary64)) (neg.f64 x)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) y x))))
(*.f64 (*.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(*.f64 x (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))
(pow.f64 (/.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x y) (*.f64 x y) #s(literal -1 binary64)) (neg.f64 x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 x y) y) (*.f64 (*.f64 x y) x) #s(literal -1 binary64)) (neg.f64 x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x (*.f64 (*.f64 x y) x)) (*.f64 x (-.f64 x (*.f64 (*.f64 (*.f64 x y) x) (*.f64 x y))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (neg.f64 y) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 x y) (*.f64 x y) #s(literal -1 binary64)) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (neg.f64 (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 x y) y) (*.f64 (*.f64 x y) x) #s(literal -1 binary64)) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x y #s(literal -1 binary64)) x)) #s(literal -1 binary64))
(/.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) (*.f64 x y) #s(literal -1 binary64)))) (fma.f64 x y #s(literal 1 binary64)))
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(fma.f64 (*.f64 x y) (/.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64)))))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 y)) #s(literal -1 binary64))
(fma.f64 (neg.f64 x) (neg.f64 y) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) #s(literal -1 binary64))
(fma.f64 (*.f64 x (neg.f64 y)) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 x (/.f64 (*.f64 (*.f64 x y) y) (fma.f64 x y #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64)))))
(fma.f64 x (*.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 x (neg.f64 (neg.f64 y)) #s(literal -1 binary64))
(fma.f64 x y #s(literal -1 binary64))
(fma.f64 (neg.f64 y) (neg.f64 x) #s(literal -1 binary64))
(fma.f64 y (/.f64 (*.f64 (*.f64 x y) x) (fma.f64 x y #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64)))))
(fma.f64 y x #s(literal -1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 x y) y) x) (fma.f64 x (neg.f64 y) #s(literal -1 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x y) y) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))) #s(literal 1 binary64)))
(-.f64 (*.f64 (*.f64 (*.f64 x y) y) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))
(-.f64 (*.f64 x y) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal -1 binary64)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x y #s(literal -1 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 x y) y) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64)))))
(+.f64 (*.f64 x y) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 x y))

eval262.0ms (4.5%)

Memory
-6.0MiB live, 327.2MiB allocated
Compiler

Compiled 27 541 to 1 611 computations (94.2% saved)

prune157.0ms (2.7%)

Memory
8.7MiB live, 301.3MiB allocated
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New1 29651 301
Fresh101
Picked145
Done000
Total1 29891 307
Accuracy
100.0%
Counts
1 307 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (/.f64 y (/.f64 #s(literal -1 binary64) x)) x x)
99.9%
(fma.f64 (*.f64 (neg.f64 y) x) x x)
90.3%
(fma.f64 (*.f64 x (neg.f64 x)) y x)
55.7%
(/.f64 x (/.f64 #s(literal -1 binary64) #s(approx (+ (* y x) -1) (*.f64 y x))))
99.9%
(-.f64 x (*.f64 (*.f64 x y) x))
25.7%
(*.f64 x #s(approx (- 1 (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 x y) x) (neg.f64 x)) (*.f64 x x))))
55.7%
(*.f64 x #s(approx (- 1 (* x y)) (/.f64 y (/.f64 #s(literal -1 binary64) x))))
55.8%
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)))
46.5%
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
Compiler

Compiled 145 to 83 computations (42.8% saved)

simplify147.0ms (2.5%)

Memory
3.2MiB live, 260.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 (*.f64 x y) x) (neg.f64 x))
cost-diff0
#s(approx (- 1 (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 x y) x) (neg.f64 x)) (*.f64 x x)))
cost-diff0
(*.f64 x #s(approx (- 1 (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 x y) x) (neg.f64 x)) (*.f64 x x))))
cost-diff1664
(/.f64 (*.f64 (*.f64 (*.f64 x y) x) (neg.f64 x)) (*.f64 x x))
cost-diff0
(/.f64 #s(literal -1 binary64) x)
cost-diff0
(fma.f64 (/.f64 y (/.f64 #s(literal -1 binary64) x)) x x)
cost-diff960
(/.f64 y (/.f64 #s(literal -1 binary64) x))
cost-diff0
(*.f64 y x)
cost-diff0
#s(approx (+ (* y x) -1) (*.f64 y x))
cost-diff0
(/.f64 #s(literal -1 binary64) #s(approx (+ (* y x) -1) (*.f64 y x)))
cost-diff960
(/.f64 x (/.f64 #s(literal -1 binary64) #s(approx (+ (* y x) -1) (*.f64 y x))))
cost-diff0
(/.f64 #s(literal -1 binary64) x)
cost-diff0
#s(approx (- 1 (* x y)) (/.f64 y (/.f64 #s(literal -1 binary64) x)))
cost-diff0
(*.f64 x #s(approx (- 1 (* x y)) (/.f64 y (/.f64 #s(literal -1 binary64) x))))
cost-diff960
(/.f64 y (/.f64 #s(literal -1 binary64) x))
cost-diff0
(*.f64 x y)
cost-diff0
(*.f64 (*.f64 x y) x)
cost-diff0
(-.f64 x (*.f64 (*.f64 x y) x))
Rules
4 706×lower-fma.f32
4 705×lower-fma.f64
1 710×lower-*.f32
1 704×lower-*.f64
1 016×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026183
042161
184161
2171161
3451152
41135151
52715151
63765151
76736151
08126148
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 x (*.f64 (*.f64 x y) x))
x
(*.f64 (*.f64 x y) x)
(*.f64 x y)
y
(*.f64 x #s(approx (- 1 (* x y)) (/.f64 y (/.f64 #s(literal -1 binary64) x))))
x
#s(approx (- 1 (* x y)) (/.f64 y (/.f64 #s(literal -1 binary64) x)))
(/.f64 y (/.f64 #s(literal -1 binary64) x))
y
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(/.f64 x (/.f64 #s(literal -1 binary64) #s(approx (+ (* y x) -1) (*.f64 y x))))
x
(/.f64 #s(literal -1 binary64) #s(approx (+ (* y x) -1) (*.f64 y x)))
#s(literal -1 binary64)
#s(approx (+ (* y x) -1) (*.f64 y x))
(*.f64 y x)
y
(fma.f64 (/.f64 y (/.f64 #s(literal -1 binary64) x)) x x)
(/.f64 y (/.f64 #s(literal -1 binary64) x))
y
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(*.f64 x #s(approx (- 1 (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 x y) x) (neg.f64 x)) (*.f64 x x))))
x
#s(approx (- 1 (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 x y) x) (neg.f64 x)) (*.f64 x x)))
(/.f64 (*.f64 (*.f64 (*.f64 x y) x) (neg.f64 x)) (*.f64 x x))
(*.f64 (*.f64 (*.f64 x y) x) (neg.f64 x))
(*.f64 (*.f64 x y) x)
(*.f64 x y)
y
(neg.f64 x)
(*.f64 x x)
Outputs
(-.f64 x (*.f64 (*.f64 x y) x))
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
x
(*.f64 (*.f64 x y) x)
(*.f64 (*.f64 x x) y)
(*.f64 x y)
(*.f64 y x)
y
(*.f64 x #s(approx (- 1 (* x y)) (/.f64 y (/.f64 #s(literal -1 binary64) x))))
(*.f64 #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)) x)
x
#s(approx (- 1 (* x y)) (/.f64 y (/.f64 #s(literal -1 binary64) x)))
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))
(/.f64 y (/.f64 #s(literal -1 binary64) x))
(*.f64 (neg.f64 x) y)
y
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(/.f64 x (/.f64 #s(literal -1 binary64) #s(approx (+ (* y x) -1) (*.f64 y x))))
(*.f64 (neg.f64 x) #s(approx (+ (* y x) -1) (*.f64 y x)))
x
(/.f64 #s(literal -1 binary64) #s(approx (+ (* y x) -1) (*.f64 y x)))
#s(literal -1 binary64)
#s(approx (+ (* y x) -1) (*.f64 y x))
(*.f64 y x)
y
(fma.f64 (/.f64 y (/.f64 #s(literal -1 binary64) x)) x x)
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
(/.f64 y (/.f64 #s(literal -1 binary64) x))
(*.f64 (neg.f64 x) y)
y
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(*.f64 x #s(approx (- 1 (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 x y) x) (neg.f64 x)) (*.f64 x x))))
(*.f64 #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)) x)
x
#s(approx (- 1 (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 x y) x) (neg.f64 x)) (*.f64 x x)))
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))
(/.f64 (*.f64 (*.f64 (*.f64 x y) x) (neg.f64 x)) (*.f64 x x))
(*.f64 (neg.f64 x) y)
(*.f64 (*.f64 (*.f64 x y) x) (neg.f64 x))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) y)
(*.f64 (*.f64 x y) x)
(*.f64 (*.f64 x x) y)
(*.f64 x y)
(*.f64 y x)
y
(neg.f64 x)
(*.f64 x x)

localize77.0ms (1.3%)

Memory
17.2MiB live, 169.6MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.08984375
(*.f64 (*.f64 (*.f64 x y) x) (neg.f64 x))
accuracy0.1171875
(*.f64 (*.f64 x y) x)
accuracy28.92752998228538
#s(approx (- 1 (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 x y) x) (neg.f64 x)) (*.f64 x x)))
accuracy36.04758157916871
(/.f64 (*.f64 (*.f64 (*.f64 x y) x) (neg.f64 x)) (*.f64 x x))
accuracy0
(/.f64 #s(literal -1 binary64) x)
accuracy0.0546875
(fma.f64 (/.f64 y (/.f64 #s(literal -1 binary64) x)) x x)
accuracy0.18359375
(/.f64 y (/.f64 #s(literal -1 binary64) x))
accuracy0
(*.f64 y x)
accuracy0.10546875
(/.f64 x (/.f64 #s(literal -1 binary64) #s(approx (+ (* y x) -1) (*.f64 y x))))
accuracy0.135097509768442
(/.f64 #s(literal -1 binary64) #s(approx (+ (* y x) -1) (*.f64 y x)))
accuracy28.92752998228538
#s(approx (+ (* y x) -1) (*.f64 y x))
accuracy0
(/.f64 #s(literal -1 binary64) x)
accuracy0.06640625
(*.f64 x #s(approx (- 1 (* x y)) (/.f64 y (/.f64 #s(literal -1 binary64) x))))
accuracy0.18359375
(/.f64 y (/.f64 #s(literal -1 binary64) x))
accuracy28.92752998228538
#s(approx (- 1 (* x y)) (/.f64 y (/.f64 #s(literal -1 binary64) x)))
accuracy0
(*.f64 x y)
accuracy0.0078125
(-.f64 x (*.f64 (*.f64 x y) x))
accuracy0.1171875
(*.f64 (*.f64 x y) x)
Samples
50.0ms256×0valid
Compiler

Compiled 136 to 23 computations (83.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-div: 15.0ms (44.3% of total)
ival-mult: 11.0ms (32.5% of total)
ival-neg: 3.0ms (8.9% of total)
ival-sub: 2.0ms (5.9% of total)
ival-add: 2.0ms (5.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series17.0ms (0.3%)

Memory
1.8MiB live, 37.6MiB allocated
Counts
16 → 372
Calls
Call 1
Inputs
#s(alt (-.f64 x (*.f64 (*.f64 x y) x)) (patch (-.f64 x (*.f64 (*.f64 x y) x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x y) x) (patch (*.f64 (*.f64 x y) x) #<representation binary64>) () ())
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())
#s(alt (/.f64 y (/.f64 #s(literal -1 binary64) x)) (patch (/.f64 y (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())
#s(alt (*.f64 x #s(approx (- 1 (* x y)) (/.f64 y (/.f64 #s(literal -1 binary64) x)))) (patch (*.f64 x #s(approx (- 1 (* x y)) (/.f64 y (/.f64 #s(literal -1 binary64) x)))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* x y)) (/.f64 y (/.f64 #s(literal -1 binary64) x))) (patch #s(approx (- 1 (* x y)) (/.f64 y (/.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 x (/.f64 #s(literal -1 binary64) #s(approx (+ (* y x) -1) (*.f64 y x)))) (patch (/.f64 x (/.f64 #s(literal -1 binary64) #s(approx (+ (* y x) -1) (*.f64 y x)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) #s(approx (+ (* y x) -1) (*.f64 y x))) (patch (/.f64 #s(literal -1 binary64) #s(approx (+ (* y x) -1) (*.f64 y x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* y x) -1) (*.f64 y x)) (patch #s(approx (+ (* y x) -1) (*.f64 y x)) #<representation binary64>) () ())
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 y (/.f64 #s(literal -1 binary64) x)) x x) (patch (fma.f64 (/.f64 y (/.f64 #s(literal -1 binary64) x)) x x) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 (*.f64 x y) x) (neg.f64 x)) (*.f64 x x)) (patch (/.f64 (*.f64 (*.f64 (*.f64 x y) x) (neg.f64 x)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 x #s(approx (- 1 (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 x y) x) (neg.f64 x)) (*.f64 x x)))) (patch (*.f64 x #s(approx (- 1 (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 x y) x) (neg.f64 x)) (*.f64 x x)))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 x y) x) (neg.f64 x)) (*.f64 x x))) (patch #s(approx (- 1 (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 x y) x) (neg.f64 x)) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 x y) x) (neg.f64 x)) (patch (*.f64 (*.f64 (*.f64 x y) x) (neg.f64 x)) #<representation binary64>) () ())
Outputs
#s(alt x (taylor 0 x) (#s(alt (-.f64 x (*.f64 (*.f64 x y) x)) (patch (-.f64 x (*.f64 (*.f64 x y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (* x y)))) (taylor 0 x) (#s(alt (-.f64 x (*.f64 (*.f64 x y) x)) (patch (-.f64 x (*.f64 (*.f64 x y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (* x y)))) (taylor 0 x) (#s(alt (-.f64 x (*.f64 (*.f64 x y) x)) (patch (-.f64 x (*.f64 (*.f64 x y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (* x y)))) (taylor 0 x) (#s(alt (-.f64 x (*.f64 (*.f64 x y) x)) (patch (-.f64 x (*.f64 (*.f64 x y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor inf x) (#s(alt (-.f64 x (*.f64 (*.f64 x y) x)) (patch (-.f64 x (*.f64 (*.f64 x y) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 x) y)) (taylor inf x) (#s(alt (-.f64 x (*.f64 (*.f64 x y) x)) (patch (-.f64 x (*.f64 (*.f64 x y) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 x) y)) (taylor inf x) (#s(alt (-.f64 x (*.f64 (*.f64 x y) x)) (patch (-.f64 x (*.f64 (*.f64 x y) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 x) y)) (taylor inf x) (#s(alt (-.f64 x (*.f64 (*.f64 x y) x)) (patch (-.f64 x (*.f64 (*.f64 x y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (-.f64 x (*.f64 (*.f64 x y) x)) (patch (-.f64 x (*.f64 (*.f64 x y) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 x) y)) (taylor -inf x) (#s(alt (-.f64 x (*.f64 (*.f64 x y) x)) (patch (-.f64 x (*.f64 (*.f64 x y) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 x) y)) (taylor -inf x) (#s(alt (-.f64 x (*.f64 (*.f64 x y) x)) (patch (-.f64 x (*.f64 (*.f64 x y) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 x) y)) (taylor -inf x) (#s(alt (-.f64 x (*.f64 (*.f64 x y) x)) (patch (-.f64 x (*.f64 (*.f64 x y) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (-.f64 x (*.f64 (*.f64 x y) x)) (patch (-.f64 x (*.f64 (*.f64 x y) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (-.f64 x (*.f64 (*.f64 x y) x)) (patch (-.f64 x (*.f64 (*.f64 x y) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (-.f64 x (*.f64 (*.f64 x y) x)) (patch (-.f64 x (*.f64 (*.f64 x y) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (-.f64 x (*.f64 (*.f64 x y) x)) (patch (-.f64 x (*.f64 (*.f64 x y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor inf y) (#s(alt (-.f64 x (*.f64 (*.f64 x y) x)) (patch (-.f64 x (*.f64 (*.f64 x y) x)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) (pow x 2))) (taylor inf y) (#s(alt (-.f64 x (*.f64 (*.f64 x y) x)) (patch (-.f64 x (*.f64 (*.f64 x y) x)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) (pow x 2))) (taylor inf y) (#s(alt (-.f64 x (*.f64 (*.f64 x y) x)) (patch (-.f64 x (*.f64 (*.f64 x y) x)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) (pow x 2))) (taylor inf y) (#s(alt (-.f64 x (*.f64 (*.f64 x y) x)) (patch (-.f64 x (*.f64 (*.f64 x y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf y) (#s(alt (-.f64 x (*.f64 (*.f64 x y) x)) (patch (-.f64 x (*.f64 (*.f64 x y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) (* -1 (pow x 2))))) (taylor -inf y) (#s(alt (-.f64 x (*.f64 (*.f64 x y) x)) (patch (-.f64 x (*.f64 (*.f64 x y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) (* -1 (pow x 2))))) (taylor -inf y) (#s(alt (-.f64 x (*.f64 (*.f64 x y) x)) (patch (-.f64 x (*.f64 (*.f64 x y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) (* -1 (pow x 2))))) (taylor -inf y) (#s(alt (-.f64 x (*.f64 (*.f64 x y) x)) (patch (-.f64 x (*.f64 (*.f64 x y) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) y) (taylor 0 x) (#s(alt (*.f64 (*.f64 x y) x) (patch (*.f64 (*.f64 x y) x) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (pow x 3) y)) (taylor inf y) (#s(alt (*.f64 (*.f64 (*.f64 x y) x) (neg.f64 x)) (patch (*.f64 (*.f64 (*.f64 x y) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) y)) (taylor -inf y) (#s(alt (*.f64 (*.f64 (*.f64 x y) x) (neg.f64 x)) (patch (*.f64 (*.f64 (*.f64 x y) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) y)) (taylor -inf y) (#s(alt (*.f64 (*.f64 (*.f64 x y) x) (neg.f64 x)) (patch (*.f64 (*.f64 (*.f64 x y) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) y)) (taylor -inf y) (#s(alt (*.f64 (*.f64 (*.f64 x y) x) (neg.f64 x)) (patch (*.f64 (*.f64 (*.f64 x y) x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) y)) (taylor -inf y) (#s(alt (*.f64 (*.f64 (*.f64 x y) x) (neg.f64 x)) (patch (*.f64 (*.f64 (*.f64 x y) x) (neg.f64 x)) #<representation binary64>) () ())) ())
Calls

93 calls:

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

simplify172.0ms (3%)

Memory
-14.3MiB live, 271.1MiB allocated
Algorithm
egg-herbie
Rules
3 694×lower-fma.f64
3 694×lower-fma.f32
1 931×lower-*.f64
1 931×lower-*.f32
1 037×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01442208
13992068
29262056
337442056
087662026
Stop Event
iter limit
node limit
Counts
372 → 362
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* -1 (* (pow x 2) y))
(* (pow x 2) (- (/ 1 x) y))
(* (pow x 2) (- (/ 1 x) y))
(* (pow x 2) (- (/ 1 x) y))
(* -1 (* (pow x 2) y))
(* (pow x 2) (- (/ 1 x) y))
(* (pow x 2) (- (/ 1 x) y))
(* (pow x 2) (- (/ 1 x) y))
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(* -1 (* (pow x 2) y))
(* y (- (/ x y) (pow x 2)))
(* y (- (/ x y) (pow x 2)))
(* y (- (/ x y) (pow x 2)))
(* -1 (* (pow x 2) y))
(* -1 (* y (- (* -1 (/ x y)) (* -1 (pow x 2)))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 (pow x 2)))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 (pow x 2)))))
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(* -1 (* (pow x 2) y))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* -1 (* (pow x 2) y))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
1
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(* -1 (* x y))
(* x (- (/ 1 x) y))
(* x (- (/ 1 x) y))
(* x (- (/ 1 x) y))
(* -1 (* x y))
(* x (+ (* -1 y) (/ 1 x)))
(* x (+ (* -1 y) (/ 1 x)))
(* x (+ (* -1 y) (/ 1 x)))
1
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(* -1 (* x y))
(* y (- (/ 1 y) x))
(* y (- (/ 1 y) x))
(* y (- (/ 1 y) x))
(* -1 (* x y))
(* y (+ (* -1 x) (/ 1 y)))
(* y (+ (* -1 x) (/ 1 y)))
(* y (+ (* -1 x) (/ 1 y)))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(* -1 (* (pow x 2) y))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* -1 (* (pow x 2) y))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
1
(+ 1 (* x y))
(+ 1 (* y (- (* (pow x 2) y) (* -1 x))))
(+ 1 (* y (- (* y (- (* (pow x 3) y) (* -1 (pow x 2)))) (* -1 x))))
(/ -1 (* x y))
(* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y))
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) (pow y 2))) (+ (/ 1 x) (/ 1 (* (pow x 2) y)))) y)
(/ -1 (* x y))
(* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y))
(* -1 (/ (+ (/ 1 x) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 3) (pow y 2))))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y))
1
(+ 1 (* x y))
(+ 1 (* x (- (* x (pow y 2)) (* -1 y))))
(+ 1 (* x (- (* x (- (* x (pow y 3)) (* -1 (pow y 2)))) (* -1 y))))
(/ -1 (* x y))
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x))
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x)
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) (pow x 2))) (+ (/ 1 y) (/ 1 (* x (pow y 2))))) x)
(/ -1 (* x y))
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x))
(* -1 (/ (+ (/ 1 y) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) (pow y 3))))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x))
-1
(- (* x y) 1)
(- (* x y) 1)
(- (* x y) 1)
(* x y)
(* y (- x (/ 1 y)))
(* y (- x (/ 1 y)))
(* y (- x (/ 1 y)))
(* x y)
(* -1 (* y (+ (* -1 x) (/ 1 y))))
(* -1 (* y (+ (* -1 x) (/ 1 y))))
(* -1 (* y (+ (* -1 x) (/ 1 y))))
-1
(- (* x y) 1)
(- (* x y) 1)
(- (* x y) 1)
(* x y)
(* x (- y (/ 1 x)))
(* x (- y (/ 1 x)))
(* x (- y (/ 1 x)))
(* x y)
(* -1 (* x (+ (* -1 y) (/ 1 x))))
(* -1 (* x (+ (* -1 y) (/ 1 x))))
(* -1 (* x (+ (* -1 y) (/ 1 x))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(* -1 (* (pow x 2) y))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* -1 (* (pow x 2) y))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(* -1 (* (pow x 2) y))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* -1 (* (pow x 2) y))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
1
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(* -1 (* x y))
(* x (- (/ 1 x) y))
(* x (- (/ 1 x) y))
(* x (- (/ 1 x) y))
(* -1 (* x y))
(* x (+ (* -1 y) (/ 1 x)))
(* x (+ (* -1 y) (/ 1 x)))
(* x (+ (* -1 y) (/ 1 x)))
1
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(* -1 (* x y))
(* y (- (/ 1 y) x))
(* y (- (/ 1 y) x))
(* y (- (/ 1 y) x))
(* -1 (* x y))
(* y (+ (* -1 x) (/ 1 y)))
(* y (+ (* -1 x) (/ 1 y)))
(* y (+ (* -1 x) (/ 1 y)))
(* -1 (* (pow x 3) y))
(* -1 (* (pow x 3) y))
(* -1 (* (pow x 3) y))
(* -1 (* (pow x 3) y))
(* -1 (* (pow x 3) y))
(* -1 (* (pow x 3) y))
(* -1 (* (pow x 3) y))
(* -1 (* (pow x 3) y))
(* -1 (* (pow x 3) y))
(* -1 (* (pow x 3) y))
(* -1 (* (pow x 3) y))
(* -1 (* (pow x 3) y))
(* -1 (* (pow x 3) y))
(* -1 (* (pow x 3) y))
(* -1 (* (pow x 3) y))
(* -1 (* (pow x 3) y))
(* -1 (* (pow x 3) y))
(* -1 (* (pow x 3) y))
(* -1 (* (pow x 3) y))
(* -1 (* (pow x 3) y))
(* -1 (* (pow x 3) y))
(* -1 (* (pow x 3) y))
(* -1 (* (pow x 3) y))
(* -1 (* (pow x 3) y))
Outputs
x
(* x (+ 1 (* -1 (* x y))))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(* x (+ 1 (* -1 (* x y))))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(* x (+ 1 (* -1 (* x y))))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) x) y)
(* (pow x 2) (- (/ 1 x) y))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(* (pow x 2) (- (/ 1 x) y))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(* (pow x 2) (- (/ 1 x) y))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) x) y)
(* (pow x 2) (- (/ 1 x) y))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(* (pow x 2) (- (/ 1 x) y))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(* (pow x 2) (- (/ 1 x) y))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
x
(+ x (* -1 (* (pow x 2) y)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(+ x (* -1 (* (pow x 2) y)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(+ x (* -1 (* (pow x 2) y)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) x) y)
(* y (- (/ x y) (pow x 2)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(* y (- (/ x y) (pow x 2)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(* y (- (/ x y) (pow x 2)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) x) y)
(* -1 (* y (- (* -1 (/ x y)) (* -1 (pow x 2)))))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(* -1 (* y (- (* -1 (/ x y)) (* -1 (pow x 2)))))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(* -1 (* y (- (* -1 (/ x y)) (* -1 (pow x 2)))))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(* (pow x 2) y)
(*.f64 (*.f64 x x) y)
(* (pow x 2) y)
(*.f64 (*.f64 x x) y)
(* (pow x 2) y)
(*.f64 (*.f64 x x) y)
(* (pow x 2) y)
(*.f64 (*.f64 x x) y)
(* (pow x 2) y)
(*.f64 (*.f64 x x) y)
(* (pow x 2) y)
(*.f64 (*.f64 x x) y)
(* (pow x 2) y)
(*.f64 (*.f64 x x) y)
(* (pow x 2) y)
(*.f64 (*.f64 x x) y)
(* (pow x 2) y)
(*.f64 (*.f64 x x) y)
(* (pow x 2) y)
(*.f64 (*.f64 x x) y)
(* (pow x 2) y)
(*.f64 (*.f64 x x) y)
(* (pow x 2) y)
(*.f64 (*.f64 x x) y)
(* (pow x 2) y)
(*.f64 (*.f64 x x) y)
(* (pow x 2) y)
(*.f64 (*.f64 x x) y)
(* (pow x 2) y)
(*.f64 (*.f64 x x) y)
(* (pow x 2) y)
(*.f64 (*.f64 x x) y)
(* (pow x 2) y)
(*.f64 (*.f64 x x) y)
(* (pow x 2) y)
(*.f64 (*.f64 x x) y)
(* (pow x 2) y)
(*.f64 (*.f64 x x) y)
(* (pow x 2) y)
(*.f64 (*.f64 x x) y)
(* (pow x 2) y)
(*.f64 (*.f64 x x) y)
(* (pow x 2) y)
(*.f64 (*.f64 x x) y)
(* (pow x 2) y)
(*.f64 (*.f64 x x) y)
(* (pow x 2) y)
(*.f64 (*.f64 x x) y)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
x
(* x (+ 1 (* -1 (* x y))))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(* x (+ 1 (* -1 (* x y))))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(* x (+ 1 (* -1 (* x y))))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) x) y)
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(* y (+ (* -1 (pow x 2)) (/ x y)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) x) y)
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (* x y)))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(+ 1 (* -1 (* x y)))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(+ 1 (* -1 (* x y)))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* x (- (/ 1 x) y))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(* x (- (/ 1 x) y))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(* x (- (/ 1 x) y))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* x (+ (* -1 y) (/ 1 x)))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(* x (+ (* -1 y) (/ 1 x)))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(* x (+ (* -1 y) (/ 1 x)))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (* x y)))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(+ 1 (* -1 (* x y)))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(+ 1 (* -1 (* x y)))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* y (- (/ 1 y) x))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(* y (- (/ 1 y) x))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(* y (- (/ 1 y) x))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* y (+ (* -1 x) (/ 1 y)))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(* y (+ (* -1 x) (/ 1 y)))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(* y (+ (* -1 x) (/ 1 y)))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(* -1 (* (pow x 3) y))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) x)
(* -1 (* (pow x 3) y))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) x)
(* -1 (* (pow x 3) y))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) x)
(* -1 (* (pow x 3) y))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) x)
(* -1 (* (pow x 3) y))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) x)
(* -1 (* (pow x 3) y))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) x)
(* -1 (* (pow x 3) y))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) x)
(* -1 (* (pow x 3) y))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) x)
(* -1 (* (pow x 3) y))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) x)
(* -1 (* (pow x 3) y))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) x)
(* -1 (* (pow x 3) y))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) x)
(* -1 (* (pow x 3) y))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) x)
(* -1 (* (pow x 3) y))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) x)
(* -1 (* (pow x 3) y))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) x)
(* -1 (* (pow x 3) y))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) x)
(* -1 (* (pow x 3) y))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) x)
(* -1 (* (pow x 3) y))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) x)
(* -1 (* (pow x 3) y))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) x)
(* -1 (* (pow x 3) y))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) x)
(* -1 (* (pow x 3) y))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) x)
(* -1 (* (pow x 3) y))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) x)
(* -1 (* (pow x 3) y))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) x)
(* -1 (* (pow x 3) y))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) x)
(* -1 (* (pow x 3) y))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) x)

rewrite194.0ms (3.3%)

Memory
31.6MiB live, 329.5MiB allocated
Rules
4 413×lower-fma.f32
4 412×lower-fma.f64
2 099×lower-*.f32
2 093×lower-*.f64
1 599×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026149
042127
1168120
21011118
09143115
Stop Event
iter limit
node limit
iter limit
Counts
16 → 713
Calls
Call 1
Inputs
(-.f64 x (*.f64 (*.f64 x y) x))
(*.f64 (*.f64 x y) x)
(*.f64 x y)
(/.f64 y (/.f64 #s(literal -1 binary64) x))
(*.f64 x #s(approx (- 1 (* x y)) (/.f64 y (/.f64 #s(literal -1 binary64) x))))
#s(approx (- 1 (* x y)) (/.f64 y (/.f64 #s(literal -1 binary64) x)))
(/.f64 #s(literal -1 binary64) x)
(/.f64 x (/.f64 #s(literal -1 binary64) #s(approx (+ (* y x) -1) (*.f64 y x))))
(/.f64 #s(literal -1 binary64) #s(approx (+ (* y x) -1) (*.f64 y x)))
#s(approx (+ (* y x) -1) (*.f64 y x))
(*.f64 y x)
(fma.f64 (/.f64 y (/.f64 #s(literal -1 binary64) x)) x x)
(/.f64 (*.f64 (*.f64 (*.f64 x y) x) (neg.f64 x)) (*.f64 x x))
(*.f64 x #s(approx (- 1 (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 x y) x) (neg.f64 x)) (*.f64 x x))))
#s(approx (- 1 (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 x y) x) (neg.f64 x)) (*.f64 x x)))
(*.f64 (*.f64 (*.f64 x y) x) (neg.f64 x))
Outputs
(*.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 x x) x) y) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) y) (*.f64 x x)) y (*.f64 x (fma.f64 (neg.f64 y) (*.f64 x x) x))))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 x x) x) y) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)) (*.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) x) y) (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) x) y))))) (-.f64 (*.f64 x x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) x) y))))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 x x) x) y) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x)) x (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) y) x) y) (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x))) (*.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) x) y))))) (fma.f64 (*.f64 (*.f64 x x) x) x (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) x) y)) (-.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) x) y)) (*.f64 x x)))))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 x x) x) y) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)) (*.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) x) y) (*.f64 x x)) (*.f64 x (-.f64 (*.f64 (*.f64 (*.f64 y y) x) (*.f64 x x)) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x))))) (*.f64 x (-.f64 (*.f64 (*.f64 (*.f64 y y) x) (*.f64 x x)) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x))))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 x x) x) y) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) y) (*.f64 (*.f64 y y) (*.f64 x x))) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) x) (*.f64 x x))) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 x x)) (*.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 x x))) (*.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 x x))))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) y) x) y) (*.f64 (*.f64 (*.f64 y y) x) (*.f64 x x))) x (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) y) x) y)))))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (*.f64 x x) #s(literal -1 binary64))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (*.f64 x x) #s(literal -1 binary64)))) (fma.f64 (neg.f64 y) (*.f64 x x) x))
(*.f64 (/.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (*.f64 x x) #s(literal -1 binary64)))) (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (*.f64 x x) #s(literal -1 binary64))))) (fma.f64 (neg.f64 y) (*.f64 x x) x))
(*.f64 (/.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (*.f64 x x) #s(literal -1 binary64)))) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 x x) x) y) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x))) (fma.f64 x x (*.f64 (*.f64 x x) (*.f64 (*.f64 y x) (fma.f64 y x #s(literal -1 binary64))))))
(*.f64 (*.f64 x (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (*.f64 (*.f64 y y) y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (fma.f64 y x #s(literal 1 binary64))) (/.f64 (fma.f64 (neg.f64 y) (*.f64 x x) x) x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x)) (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (*.f64 x x) #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) x) y) (*.f64 x x))) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 x x) x) y) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (*.f64 x x) #s(literal -1 binary64))))
(*.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) x))
(*.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (*.f64 x x) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x)))
(*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 x x) x) y) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) x) y) (*.f64 x x)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 1 binary64))) x))
(*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 (fma.f64 (neg.f64 y) (*.f64 x x) x) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x))))
(*.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (*.f64 x x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x)))
(*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x)))
(*.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) x) y) (*.f64 x x)) (*.f64 (fma.f64 (neg.f64 y) (*.f64 x x) x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) x) y) (*.f64 x x)))))
(*.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 x x) x) y) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) x) y) (*.f64 x x))))
(*.f64 (fma.f64 (neg.f64 y) (*.f64 x x) x) (*.f64 (*.f64 (fma.f64 (neg.f64 y) x #s(literal -1 binary64)) x) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x))))
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
(*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (*.f64 x x) x))
(*.f64 x (fma.f64 (neg.f64 y) x #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (*.f64 x x) x)) #s(literal -1 binary64))
(/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (*.f64 x x) #s(literal -1 binary64)))) (fma.f64 y x #s(literal 1 binary64))) x)
(/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 x x) #s(literal -1 binary64)) x) (fma.f64 (neg.f64 y) x #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)) (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (*.f64 x x) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x))) (*.f64 (fma.f64 (*.f64 y y) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 x x) x) y) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 x x) x) y) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x))) (fma.f64 (*.f64 (*.f64 x x) x) x (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) y) x) y) (*.f64 (fma.f64 (*.f64 y y) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))))
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 y y) (*.f64 x x) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x))) (*.f64 (fma.f64 (*.f64 y y) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 x x) x) y) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)) (neg.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 x x) x) y) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)))) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) y) x) y) (*.f64 y x)) (*.f64 (*.f64 (*.f64 x x) x) y) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 y y) (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)))))
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 x x) x) y) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 x x) x) y) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) x) y) (*.f64 x x)))) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 x x) x) y) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)))
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eval231.0ms (4%)

Memory
-6.8MiB live, 321.3MiB allocated
Compiler

Compiled 23 501 to 1 676 computations (92.9% saved)

prune126.0ms (2.2%)

Memory
4.0MiB live, 250.9MiB allocated
Pruning

9 alts after pruning (2 fresh and 7 done)

PrunedKeptTotal
New1 35721 359
Fresh000
Picked145
Done134
Total1 35991 368
Accuracy
100.0%
Counts
1 368 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (/.f64 y (/.f64 #s(literal -1 binary64) x)) x x)
79.8%
(fma.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (*.f64 x x) x) y) x)
99.9%
(fma.f64 (*.f64 (neg.f64 y) x) x x)
55.7%
(/.f64 x (/.f64 #s(literal -1 binary64) #s(approx (+ (* y x) -1) (*.f64 y x))))
99.9%
(-.f64 x (*.f64 (*.f64 x y) x))
55.7%
(*.f64 x #s(approx (- 1 (* x y)) (/.f64 y (/.f64 #s(literal -1 binary64) x))))
55.8%
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)))
46.5%
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
49.8%
#s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 (neg.f64 x) x) y))
Compiler

Compiled 86 to 50 computations (41.9% saved)

simplify153.0ms (2.6%)

Memory
-16.6MiB live, 152.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 x x) x)
cost-diff0
(*.f64 (*.f64 (*.f64 x x) x) y)
cost-diff0
(/.f64 #s(literal -1 binary64) x)
cost-diff1216
(fma.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (*.f64 x x) x) y) x)
cost-diff0
(neg.f64 x)
cost-diff0
(*.f64 (neg.f64 x) x)
cost-diff0
(*.f64 (*.f64 (neg.f64 x) x) y)
cost-diff0
#s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 (neg.f64 x) x) y))
Rules
2 367×lower-*.f32
2 362×lower-*.f64
2 037×lower-fma.f32
2 036×lower-fma.f64
907×lower-/.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01663
02563
14757
210857
325655
440052
583552
6244652
7438252
8559452
9658552
10770052
0802252
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 (neg.f64 x) x) y))
(*.f64 (*.f64 (neg.f64 x) x) y)
(*.f64 (neg.f64 x) x)
(neg.f64 x)
x
y
(fma.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (*.f64 x x) x) y) x)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(*.f64 (*.f64 (*.f64 x x) x) y)
(*.f64 (*.f64 x x) x)
(*.f64 x x)
y
Outputs
#s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 (neg.f64 x) x) y))
(*.f64 (*.f64 (neg.f64 x) x) y)
(*.f64 (neg.f64 x) x)
(neg.f64 x)
x
y
(fma.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (*.f64 x x) x) y) x)
(fma.f64 (*.f64 (neg.f64 x) y) x x)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(*.f64 (*.f64 (*.f64 x x) x) y)
(*.f64 (*.f64 (*.f64 x x) y) x)
(*.f64 (*.f64 x x) x)
(*.f64 x x)
y

localize58.0ms (1%)

Memory
-3.0MiB live, 73.9MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x x)
accuracy0.07421875
(*.f64 (*.f64 x x) x)
accuracy5.686701766601098
(*.f64 (*.f64 (*.f64 x x) x) y)
accuracy7.5630315069888185
(fma.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (*.f64 x x) x) y) x)
accuracy0
(*.f64 (neg.f64 x) x)
accuracy0
(neg.f64 x)
accuracy7.943919777760642
(*.f64 (*.f64 (neg.f64 x) x) y)
accuracy28.26149553480213
#s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 (neg.f64 x) x) y))
Samples
44.0ms256×0valid
Compiler

Compiled 59 to 18 computations (69.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-mult: 26.0ms (73.9% of total)
ival-div: 5.0ms (14.2% of total)
ival-add: 2.0ms (5.7% of total)
ival-neg: 1.0ms (2.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
9.0MiB live, 9.0MiB allocated
Counts
9 → 156
Calls
Call 1
Inputs
#s(alt #s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 (neg.f64 x) x) y)) (patch #s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 (neg.f64 x) x) y)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (neg.f64 x) x) y) (patch (*.f64 (*.f64 (neg.f64 x) x) y) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 x) x) (patch (*.f64 (neg.f64 x) x) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (*.f64 x x) x) y) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (*.f64 x x) x) y) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 x x) x) y) (patch (*.f64 (*.f64 (*.f64 x x) x) y) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
Outputs
#s(alt x (taylor 0 x) (#s(alt #s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 (neg.f64 x) x) y)) (patch #s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 (neg.f64 x) x) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (* x y)))) (taylor 0 x) (#s(alt #s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 (neg.f64 x) x) y)) (patch #s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 (neg.f64 x) x) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (* x y)))) (taylor 0 x) (#s(alt #s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 (neg.f64 x) x) y)) (patch #s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 (neg.f64 x) x) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (* x y)))) (taylor 0 x) (#s(alt #s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 (neg.f64 x) x) y)) (patch #s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 (neg.f64 x) x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor inf x) (#s(alt #s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 (neg.f64 x) x) y)) (patch #s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 (neg.f64 x) x) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor inf x) (#s(alt #s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 (neg.f64 x) x) y)) (patch #s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 (neg.f64 x) x) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor inf x) (#s(alt #s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 (neg.f64 x) x) y)) (patch #s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 (neg.f64 x) x) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor inf x) (#s(alt #s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 (neg.f64 x) x) y)) (patch #s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 (neg.f64 x) x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt #s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 (neg.f64 x) x) y)) (patch #s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 (neg.f64 x) x) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 (neg.f64 x) x) y)) (patch #s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 (neg.f64 x) x) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 (neg.f64 x) x) y)) (patch #s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 (neg.f64 x) x) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 (neg.f64 x) x) y)) (patch #s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 (neg.f64 x) x) y)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 (neg.f64 x) x) y)) (patch #s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 (neg.f64 x) x) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt #s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 (neg.f64 x) x) y)) (patch #s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 (neg.f64 x) x) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt #s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 (neg.f64 x) x) y)) (patch #s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 (neg.f64 x) x) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt #s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 (neg.f64 x) x) y)) (patch #s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 (neg.f64 x) x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor inf y) (#s(alt #s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 (neg.f64 x) x) y)) (patch #s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 (neg.f64 x) x) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (pow x 2)) (/ x y))) (taylor inf y) (#s(alt #s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 (neg.f64 x) x) y)) (patch #s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 (neg.f64 x) x) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (pow x 2)) (/ x y))) (taylor inf y) (#s(alt #s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 (neg.f64 x) x) y)) (patch #s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 (neg.f64 x) x) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (pow x 2)) (/ x y))) (taylor inf y) (#s(alt #s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 (neg.f64 x) x) y)) (patch #s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 (neg.f64 x) x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf y) (#s(alt #s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 (neg.f64 x) x) y)) (patch #s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 (neg.f64 x) x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) (taylor -inf y) (#s(alt #s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 (neg.f64 x) x) y)) (patch #s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 (neg.f64 x) x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) (taylor -inf y) (#s(alt #s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 (neg.f64 x) x) y)) (patch #s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 (neg.f64 x) x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ (* -1 (/ x y)) (pow x 2)))) (taylor -inf y) (#s(alt #s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 (neg.f64 x) x) y)) (patch #s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 (neg.f64 x) x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) y) (patch (*.f64 (*.f64 (neg.f64 x) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) y) (patch (*.f64 (*.f64 (neg.f64 x) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) y) (patch (*.f64 (*.f64 (neg.f64 x) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) y) (patch (*.f64 (*.f64 (neg.f64 x) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) y) (patch (*.f64 (*.f64 (neg.f64 x) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) y) (patch (*.f64 (*.f64 (neg.f64 x) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) y) (patch (*.f64 (*.f64 (neg.f64 x) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) y) (patch (*.f64 (*.f64 (neg.f64 x) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) y) (patch (*.f64 (*.f64 (neg.f64 x) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) y) (patch (*.f64 (*.f64 (neg.f64 x) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) y) (patch (*.f64 (*.f64 (neg.f64 x) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) y) (patch (*.f64 (*.f64 (neg.f64 x) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) y) (patch (*.f64 (*.f64 (neg.f64 x) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) y) (patch (*.f64 (*.f64 (neg.f64 x) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) y) (patch (*.f64 (*.f64 (neg.f64 x) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) y) (patch (*.f64 (*.f64 (neg.f64 x) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor inf y) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) y) (patch (*.f64 (*.f64 (neg.f64 x) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor inf y) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) y) (patch (*.f64 (*.f64 (neg.f64 x) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor inf y) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) y) (patch (*.f64 (*.f64 (neg.f64 x) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor inf y) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) y) (patch (*.f64 (*.f64 (neg.f64 x) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf y) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) y) (patch (*.f64 (*.f64 (neg.f64 x) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf y) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) y) (patch (*.f64 (*.f64 (neg.f64 x) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf y) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) y) (patch (*.f64 (*.f64 (neg.f64 x) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf y) (#s(alt (*.f64 (*.f64 (neg.f64 x) x) y) (patch (*.f64 (*.f64 (neg.f64 x) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (neg.f64 x) x) (patch (*.f64 (neg.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (neg.f64 x) x) (patch (*.f64 (neg.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (neg.f64 x) x) (patch (*.f64 (neg.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (neg.f64 x) x) (patch (*.f64 (neg.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (neg.f64 x) x) (patch (*.f64 (neg.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (neg.f64 x) x) (patch (*.f64 (neg.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (neg.f64 x) x) (patch (*.f64 (neg.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (neg.f64 x) x) (patch (*.f64 (neg.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) x) (patch (*.f64 (neg.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) x) (patch (*.f64 (neg.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) x) (patch (*.f64 (neg.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) x) (patch (*.f64 (neg.f64 x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
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#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
Calls

39 calls:

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

simplify132.0ms (2.3%)

Memory
4.2MiB live, 194.0MiB allocated
Algorithm
egg-herbie
Rules
3 339×lower-fma.f64
3 339×lower-fma.f32
2 078×lower-*.f64
2 078×lower-*.f32
1 210×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030784
188748
2181748
3361748
4985748
53680748
67521748
08116748
Stop Event
iter limit
node limit
Counts
156 → 152
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(* -1 (* (pow x 2) y))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* -1 (* (pow x 2) y))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 (pow x 2))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(* -1 (* (pow x 2) y))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* -1 (* (pow x 2) y))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(* (pow x 3) y)
(* (pow x 3) y)
(* (pow x 3) y)
(* (pow x 3) y)
(* (pow x 3) y)
(* (pow x 3) y)
(* (pow x 3) y)
(* (pow x 3) y)
(* (pow x 3) y)
(* (pow x 3) y)
(* (pow x 3) y)
(* (pow x 3) y)
(* (pow x 3) y)
(* (pow x 3) y)
(* (pow x 3) y)
(* (pow x 3) y)
(* (pow x 3) y)
(* (pow x 3) y)
(* (pow x 3) y)
(* (pow x 3) y)
(* (pow x 3) y)
(* (pow x 3) y)
(* (pow x 3) y)
(* (pow x 3) y)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
Outputs
x
(* x (+ 1 (* -1 (* x y))))
(fma.f64 (neg.f64 x) (*.f64 y x) x)
(* x (+ 1 (* -1 (* x y))))
(fma.f64 (neg.f64 x) (*.f64 y x) x)
(* x (+ 1 (* -1 (* x y))))
(fma.f64 (neg.f64 x) (*.f64 y x) x)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) y) x)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(fma.f64 (neg.f64 x) (*.f64 y x) x)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(fma.f64 (neg.f64 x) (*.f64 y x) x)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(fma.f64 (neg.f64 x) (*.f64 y x) x)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) y) x)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(fma.f64 (neg.f64 x) (*.f64 y x) x)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(fma.f64 (neg.f64 x) (*.f64 y x) x)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(fma.f64 (neg.f64 x) (*.f64 y x) x)
x
(+ x (* -1 (* (pow x 2) y)))
(fma.f64 (neg.f64 x) (*.f64 y x) x)
(+ x (* -1 (* (pow x 2) y)))
(fma.f64 (neg.f64 x) (*.f64 y x) x)
(+ x (* -1 (* (pow x 2) y)))
(fma.f64 (neg.f64 x) (*.f64 y x) x)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) y) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(fma.f64 (neg.f64 x) (*.f64 y x) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(fma.f64 (neg.f64 x) (*.f64 y x) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(fma.f64 (neg.f64 x) (*.f64 y x) x)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) y) x)
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(fma.f64 (neg.f64 x) (*.f64 y x) x)
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(fma.f64 (neg.f64 x) (*.f64 y x) x)
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(fma.f64 (neg.f64 x) (*.f64 y x) x)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) y) x)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) y) x)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) y) x)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) y) x)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) y) x)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) y) x)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) y) x)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) y) x)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) y) x)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) y) x)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) y) x)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) y) x)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) y) x)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) y) x)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) y) x)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) y) x)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) y) x)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) y) x)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) y) x)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) y) x)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) y) x)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) y) x)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) y) x)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) y) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
x
(* x (+ 1 (* -1 (* x y))))
(fma.f64 (neg.f64 x) (*.f64 y x) x)
(* x (+ 1 (* -1 (* x y))))
(fma.f64 (neg.f64 x) (*.f64 y x) x)
(* x (+ 1 (* -1 (* x y))))
(fma.f64 (neg.f64 x) (*.f64 y x) x)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) y) x)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(fma.f64 (neg.f64 x) (*.f64 y x) x)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(fma.f64 (neg.f64 x) (*.f64 y x) x)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(fma.f64 (neg.f64 x) (*.f64 y x) x)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) y) x)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(fma.f64 (neg.f64 x) (*.f64 y x) x)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(fma.f64 (neg.f64 x) (*.f64 y x) x)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(fma.f64 (neg.f64 x) (*.f64 y x) x)
x
(+ x (* -1 (* (pow x 2) y)))
(fma.f64 (neg.f64 x) (*.f64 y x) x)
(+ x (* -1 (* (pow x 2) y)))
(fma.f64 (neg.f64 x) (*.f64 y x) x)
(+ x (* -1 (* (pow x 2) y)))
(fma.f64 (neg.f64 x) (*.f64 y x) x)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) y) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(fma.f64 (neg.f64 x) (*.f64 y x) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(fma.f64 (neg.f64 x) (*.f64 y x) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(fma.f64 (neg.f64 x) (*.f64 y x) x)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) y) x)
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(fma.f64 (neg.f64 x) (*.f64 y x) x)
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(fma.f64 (neg.f64 x) (*.f64 y x) x)
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(fma.f64 (neg.f64 x) (*.f64 y x) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* (pow x 3) y)
(*.f64 (*.f64 (*.f64 x x) x) y)
(* (pow x 3) y)
(*.f64 (*.f64 (*.f64 x x) x) y)
(* (pow x 3) y)
(*.f64 (*.f64 (*.f64 x x) x) y)
(* (pow x 3) y)
(*.f64 (*.f64 (*.f64 x x) x) y)
(* (pow x 3) y)
(*.f64 (*.f64 (*.f64 x x) x) y)
(* (pow x 3) y)
(*.f64 (*.f64 (*.f64 x x) x) y)
(* (pow x 3) y)
(*.f64 (*.f64 (*.f64 x x) x) y)
(* (pow x 3) y)
(*.f64 (*.f64 (*.f64 x x) x) y)
(* (pow x 3) y)
(*.f64 (*.f64 (*.f64 x x) x) y)
(* (pow x 3) y)
(*.f64 (*.f64 (*.f64 x x) x) y)
(* (pow x 3) y)
(*.f64 (*.f64 (*.f64 x x) x) y)
(* (pow x 3) y)
(*.f64 (*.f64 (*.f64 x x) x) y)
(* (pow x 3) y)
(*.f64 (*.f64 (*.f64 x x) x) y)
(* (pow x 3) y)
(*.f64 (*.f64 (*.f64 x x) x) y)
(* (pow x 3) y)
(*.f64 (*.f64 (*.f64 x x) x) y)
(* (pow x 3) y)
(*.f64 (*.f64 (*.f64 x x) x) y)
(* (pow x 3) y)
(*.f64 (*.f64 (*.f64 x x) x) y)
(* (pow x 3) y)
(*.f64 (*.f64 (*.f64 x x) x) y)
(* (pow x 3) y)
(*.f64 (*.f64 (*.f64 x x) x) y)
(* (pow x 3) y)
(*.f64 (*.f64 (*.f64 x x) x) y)
(* (pow x 3) y)
(*.f64 (*.f64 (*.f64 x x) x) y)
(* (pow x 3) y)
(*.f64 (*.f64 (*.f64 x x) x) y)
(* (pow x 3) y)
(*.f64 (*.f64 (*.f64 x x) x) y)
(* (pow x 3) y)
(*.f64 (*.f64 (*.f64 x x) x) y)
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

rewrite229.0ms (3.9%)

Memory
31.7MiB live, 300.9MiB allocated
Rules
3 799×lower-fma.f32
3 798×lower-fma.f64
2 168×lower-*.f32
2 163×lower-*.f64
1 180×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01658
02552
19151
255247
3617347
0812647
Stop Event
iter limit
node limit
iter limit
Counts
9 → 517
Calls
Call 1
Inputs
#s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 (neg.f64 x) x) y))
(*.f64 (*.f64 (neg.f64 x) x) y)
(*.f64 (neg.f64 x) x)
(neg.f64 x)
(fma.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (*.f64 x x) x) y) x)
(/.f64 #s(literal -1 binary64) x)
(*.f64 (*.f64 (*.f64 x x) x) y)
(*.f64 (*.f64 x x) x)
(*.f64 x x)
Outputs
#s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 (neg.f64 x) x) y))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) y) x) (*.f64 (*.f64 (neg.f64 x) x) x)) (*.f64 x x))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) y) x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) y) x) (*.f64 (neg.f64 x) x)) x)
(*.f64 (*.f64 (/.f64 (neg.f64 y) x) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (*.f64 (/.f64 (neg.f64 y) x) (*.f64 x x)) x)
(*.f64 (*.f64 (/.f64 (neg.f64 y) x) x) (*.f64 x x))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 x x) y)) x)
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) y) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (*.f64 x x) x) (*.f64 (neg.f64 x) y))
(*.f64 (/.f64 (*.f64 y x) x) (*.f64 (neg.f64 x) x))
(*.f64 (/.f64 y #s(literal -1 binary64)) (*.f64 x x))
(*.f64 (/.f64 y x) (/.f64 (*.f64 (*.f64 x x) x) #s(literal -1 binary64)))
(*.f64 (/.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) y))
(*.f64 (/.f64 (*.f64 (*.f64 x x) x) #s(literal -1 binary64)) (/.f64 y x))
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (*.f64 (neg.f64 x) y) x) (*.f64 x x))
(*.f64 (/.f64 (neg.f64 x) x) (*.f64 (*.f64 x x) y))
(*.f64 (/.f64 (*.f64 (*.f64 x x) y) x) (neg.f64 x))
(*.f64 (neg.f64 y) (*.f64 x x))
(*.f64 (/.f64 (neg.f64 y) x) (*.f64 (*.f64 x x) x))
(*.f64 (*.f64 (*.f64 x x) y) (/.f64 (neg.f64 x) x))
(*.f64 (*.f64 (*.f64 x x) y) #s(literal -1 binary64))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (neg.f64 y) x)))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (*.f64 y (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (/.f64 y x))
(*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) y) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (*.f64 (*.f64 x x) y) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) y))
(*.f64 (*.f64 (neg.f64 x) y) (/.f64 (*.f64 x x) x))
(*.f64 (*.f64 (neg.f64 x) y) x)
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) x) y))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) (/.f64 x x))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 (*.f64 x x) y) x) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 (*.f64 x x) x) (/.f64 (neg.f64 y) x))
(*.f64 (*.f64 x x) (/.f64 y #s(literal -1 binary64)))
(*.f64 (*.f64 x x) (/.f64 (*.f64 (neg.f64 x) y) x))
(*.f64 (*.f64 x x) (neg.f64 y))
(*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (*.f64 x x) y) x))
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 (*.f64 y x) x))
(*.f64 (*.f64 (neg.f64 x) x) y)
(*.f64 (neg.f64 x) (/.f64 (*.f64 (*.f64 x x) y) x))
(*.f64 (neg.f64 x) (*.f64 y x))
(*.f64 (*.f64 y x) (neg.f64 x))
(*.f64 y (*.f64 (neg.f64 x) x))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) y))
(*.f64 x (/.f64 (*.f64 (*.f64 x x) y) (neg.f64 x)))
(*.f64 x (*.f64 (*.f64 x x) (/.f64 (neg.f64 y) x)))
(*.f64 x (*.f64 x (/.f64 (*.f64 (neg.f64 x) y) x)))
(*.f64 x (*.f64 (*.f64 (*.f64 x x) y) (/.f64 #s(literal -1 binary64) x)))
(*.f64 x (*.f64 (neg.f64 x) y))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) x) y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) x) y)) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 (neg.f64 x) x) y) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 y x) (*.f64 (*.f64 (neg.f64 x) x) x)) (*.f64 x x))
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) y) x) #s(literal -1 binary64)) x)
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) y) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) y) x) (*.f64 x x))
(/.f64 (*.f64 (*.f64 x x) y) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) y) x)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) x) y)) #s(literal 1 binary64)))
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(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) y) x) (*.f64 y x)) (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 (*.f64 (neg.f64 x) x) y (neg.f64 x))) (neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 x x) y x))))
(fma.f64 (/.f64 (*.f64 (*.f64 x x) y) x) (/.f64 (*.f64 (*.f64 (*.f64 x x) y) x) (fma.f64 (*.f64 (neg.f64 x) x) y (neg.f64 x))) (neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 x x) y x))))
(fma.f64 (/.f64 (*.f64 (*.f64 x x) y) x) (neg.f64 x) x)
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(fma.f64 (/.f64 (neg.f64 y) x) (*.f64 (*.f64 x x) x) x)
(fma.f64 (*.f64 (*.f64 x x) y) (/.f64 (neg.f64 x) x) x)
(fma.f64 (*.f64 (*.f64 x x) y) #s(literal -1 binary64) x)
(fma.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) x)) (/.f64 (*.f64 y y) (fma.f64 (*.f64 (neg.f64 x) x) y (neg.f64 x))) (neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 x x) y x))))
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) y) y)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 (*.f64 (neg.f64 x) x) y (neg.f64 x))) (neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 x x) y x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) y) y)) (fma.f64 (*.f64 (neg.f64 x) x) y (neg.f64 x))) (neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 x x) y x))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (neg.f64 y) x)) x)
(fma.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (*.f64 y (/.f64 #s(literal 1 binary64) x)) x)
(fma.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (/.f64 y x) x)
(fma.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) y) (/.f64 #s(literal 1 binary64) x) x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (*.f64 (*.f64 x x) y) x) #s(literal -1 binary64)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) y) x)
(fma.f64 (*.f64 (*.f64 (*.f64 x x) y) (*.f64 (*.f64 x x) y)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) y x)) (neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 x x) y x))))
(fma.f64 (*.f64 (neg.f64 x) y) (/.f64 (*.f64 x x) x) x)
(fma.f64 (*.f64 (neg.f64 x) y) x x)
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) x) y) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 (neg.f64 x) x) y))
(fma.f64 (*.f64 (*.f64 (neg.f64 x) x) y) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) y) (fma.f64 (*.f64 (neg.f64 x) x) y (neg.f64 x))) (neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 x x) y x))))
(fma.f64 (*.f64 (*.f64 (neg.f64 x) x) y) (/.f64 x x) x)
(fma.f64 (*.f64 (*.f64 (neg.f64 x) x) y) #s(literal 1 binary64) x)
(fma.f64 (*.f64 (*.f64 (*.f64 x x) y) x) (/.f64 (/.f64 (*.f64 (*.f64 x x) y) x) (fma.f64 (*.f64 (neg.f64 x) x) y (neg.f64 x))) (neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 x x) y x))))
(fma.f64 (*.f64 (*.f64 (*.f64 x x) y) x) (/.f64 #s(literal -1 binary64) x) x)
(fma.f64 (*.f64 (*.f64 x x) x) (/.f64 (neg.f64 y) x) x)
(fma.f64 (*.f64 x x) (/.f64 y #s(literal -1 binary64)) x)
(fma.f64 (*.f64 x x) (/.f64 (*.f64 (neg.f64 x) y) x) x)
(fma.f64 (*.f64 x x) (neg.f64 y) x)
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) y) x) (*.f64 y x)) (fma.f64 (*.f64 (neg.f64 x) x) y (neg.f64 x))) (neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 x x) y x))))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (*.f64 x x) y) x) x)
(fma.f64 (*.f64 (neg.f64 x) x) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y) (fma.f64 (*.f64 (neg.f64 x) x) y (neg.f64 x))) (neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 x x) y x))))
(fma.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) x)) x)
(fma.f64 (*.f64 (neg.f64 x) x) (/.f64 (*.f64 y x) x) x)
(fma.f64 (*.f64 (neg.f64 x) x) y x)
(fma.f64 (neg.f64 x) (/.f64 (*.f64 (*.f64 x x) y) x) x)
(fma.f64 (neg.f64 x) (*.f64 y x) x)
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) y))
(fma.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal 0 binary64) (fma.f64 (*.f64 (neg.f64 x) x) y x))
(fma.f64 (*.f64 y x) (neg.f64 x) x)
(fma.f64 y (*.f64 (neg.f64 x) x) x)
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) y) x)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) y))
(fma.f64 x (/.f64 (*.f64 (*.f64 x x) y) (neg.f64 x)) x)
(fma.f64 x (*.f64 (*.f64 x x) (/.f64 (neg.f64 y) x)) x)
(fma.f64 x (*.f64 x (/.f64 (*.f64 (neg.f64 x) y) x)) x)
(fma.f64 x (*.f64 (*.f64 (*.f64 x x) y) (/.f64 #s(literal -1 binary64) x)) x)
(fma.f64 x (*.f64 (neg.f64 x) y) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) x) y))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 (*.f64 x x) y))) (/.f64 (*.f64 (*.f64 (*.f64 x x) y) (*.f64 (*.f64 x x) y)) (+.f64 x (*.f64 (*.f64 x x) y))))
(-.f64 (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x x) y) (*.f64 (*.f64 x x) y))) (fma.f64 (*.f64 x x) y x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 x x) y x)))
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) x))
(-.f64 x (*.f64 (*.f64 x x) y))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 (*.f64 (neg.f64 x) x) y x))) #s(literal -1 binary64)))
(+.f64 (*.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal 0 binary64)) (fma.f64 (*.f64 (neg.f64 x) x) y x))
(+.f64 (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x x) y) (*.f64 (*.f64 x x) y))) (fma.f64 (*.f64 x x) y x)) (neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 x x) y x))))
(+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (neg.f64 x) x) y x))
(+.f64 (*.f64 (*.f64 (neg.f64 x) x) y) x)
(+.f64 x (*.f64 (*.f64 (neg.f64 x) x) y))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) x) x)) (*.f64 x x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) x)
(*.f64 (pow.f64 (neg.f64 x) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 x))
(/.f64 #s(literal -1 binary64) x)
(neg.f64 (/.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (*.f64 y (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 x x) x))
(*.f64 (neg.f64 (neg.f64 y)) (*.f64 (*.f64 x x) x))
(*.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 x) x) x)) y)
(*.f64 (neg.f64 (*.f64 (neg.f64 x) x)) (*.f64 y x))
(*.f64 (neg.f64 y) (*.f64 (*.f64 (neg.f64 x) x) x))
(*.f64 (*.f64 (*.f64 x x) y) x)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) y))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (neg.f64 y))
(*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) y) (/.f64 (neg.f64 x) x))
(*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) y) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (*.f64 x x) y) (*.f64 x x)))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) y) x))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) (neg.f64 x))
(*.f64 (*.f64 (*.f64 (*.f64 x x) y) x) (neg.f64 (/.f64 (neg.f64 x) x)))
(*.f64 (*.f64 (*.f64 (*.f64 x x) y) x) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 x x) x) (*.f64 y #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 x x) x) y)
(*.f64 (*.f64 x x) (*.f64 y x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) y) x))
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) y))
(*.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) y))
(*.f64 (*.f64 y x) (*.f64 (*.f64 x x) #s(literal 1 binary64)))
(*.f64 (*.f64 y x) (*.f64 x x))
(*.f64 y (*.f64 (*.f64 x x) x))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) y))
(*.f64 x (*.f64 (*.f64 (*.f64 x x) y) #s(literal 1 binary64)))
(*.f64 x (*.f64 (*.f64 x x) y))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) y) x)) x)
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) y) x) (neg.f64 x))
(neg.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) y))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) y))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 1 binary64))
(*.f64 (*.f64 x x) x)
(*.f64 x (*.f64 x x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) x)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 x x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) x))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 0 binary64)) (-.f64 (*.f64 x x) #s(literal 0 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 #s(literal 0 binary64) (*.f64 x x)))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) #s(literal 0 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 0 binary64)))))
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (neg.f64 x))
(/.f64 (*.f64 (*.f64 x x) x) x)
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) x #s(literal 0 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) x) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 x x #s(literal 0 binary64))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x x))
(+.f64 (*.f64 x x) #s(literal 0 binary64))

eval139.0ms (2.4%)

Memory
-62.4MiB live, 183.5MiB allocated
Compiler

Compiled 11 533 to 1 259 computations (89.1% saved)

prune163.0ms (2.8%)

Memory
-6.0MiB live, 224.7MiB allocated
Pruning

9 alts after pruning (1 fresh and 8 done)

PrunedKeptTotal
New6681669
Fresh000
Picked112
Done077
Total6699678
Accuracy
100.0%
Counts
678 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (/.f64 y (/.f64 #s(literal -1 binary64) x)) x x)
99.9%
(fma.f64 (*.f64 (neg.f64 y) x) x x)
55.7%
(/.f64 x (/.f64 #s(literal -1 binary64) #s(approx (+ (* y x) -1) (*.f64 y x))))
99.9%
(-.f64 x (*.f64 (*.f64 x y) x))
55.7%
(*.f64 x #s(approx (- 1 (* x y)) (/.f64 y (/.f64 #s(literal -1 binary64) x))))
55.8%
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)))
46.5%
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
46.8%
#s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (*.f64 x x) y) x)))
49.8%
#s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 (neg.f64 x) x) y))
Compiler

Compiled 215 to 92 computations (57.2% saved)

regimes19.0ms (0.3%)

Memory
8.1MiB live, 43.0MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
#s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 (neg.f64 x) x) y))
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
(-.f64 x (*.f64 (*.f64 x y) x))
(fma.f64 (*.f64 x (neg.f64 x)) y x)
(fma.f64 (*.f64 (neg.f64 y) x) x x)
(*.f64 x #s(approx (- 1 (* x y)) (/.f64 y (/.f64 #s(literal -1 binary64) x))))
(/.f64 x (/.f64 #s(literal -1 binary64) #s(approx (+ (* y x) -1) (*.f64 y x))))
(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))))
(fma.f64 (/.f64 y (/.f64 #s(literal -1 binary64) x)) x x)
#s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (*.f64 x x) y) x)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 (*.f64 x x) x) y) x)
(*.f64 x #s(approx (- 1 (* x y)) (/.f64 (*.f64 (*.f64 (*.f64 x y) x) (neg.f64 x)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) x))
Outputs
(fma.f64 (*.f64 (neg.f64 y) x) x x)
Calls

3 calls:

8.0ms
x
5.0ms
y
5.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory
18.8MiB live, 18.8MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
#s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 (neg.f64 x) x) y))
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
(-.f64 x (*.f64 (*.f64 x y) x))
(fma.f64 (*.f64 x (neg.f64 x)) y x)
Outputs
(-.f64 x (*.f64 (*.f64 x y) x))
Calls

3 calls:

3.0ms
x
3.0ms
y
3.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory
14.3MiB live, 14.3MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
#s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 (neg.f64 x) x) y))
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Outputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Calls

3 calls:

2.0ms
y
2.0ms
x
2.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory
-24.5MiB live, 13.6MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
#s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 (neg.f64 x) x) y))
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)))
Outputs
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)))
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)))
Calls

3 calls:

3.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
76.1%3x
80.4%3y
83.4%3(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes3.0ms (0.1%)

Memory
8.3MiB live, 8.3MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
#s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 (neg.f64 x) x) y))
Outputs
#s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 (neg.f64 x) x) y))
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
#s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 (neg.f64 x) x) y))
Calls

2 calls:

2.0ms
y
1.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Results
AccuracySegmentsBranch
77.9%3y
79.6%3(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory
11.1MiB live, 11.1MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

1.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
46.5%1x
46.5%1y
46.5%1(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.5926967285701814e+125
6.446781412401802e+129
0.0ms
-9.887984252376829e+151
-2.801090942721854e+146
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.5926967285701814e+125
6.446781412401802e+129
0.0ms
-9.887984252376829e+151
-2.801090942721854e+146
Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify13.0ms (0.2%)

Memory
-25.4MiB live, 16.9MiB allocated
Algorithm
egg-herbie
Rules
16×*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035144
163144
283144
397144
4102144
5103144
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (*.f64 (neg.f64 y) x) x x)
(-.f64 x (*.f64 (*.f64 x y) x))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
(if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal -50000000000000002312554067952099737000613136197536344245944363600636276876889825461691709941101712565994831225244845295459698844758220898317376004554752 binary64)) (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))) (if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 499999999999999962433880809496441021272335434917419230719612986112647099987896513301581746881408826875765029206827766141419520 binary64)) (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)))))
(if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal -50000000000000002312554067952099737000613136197536344245944363600636276876889825461691709941101712565994831225244845295459698844758220898317376004554752 binary64)) #s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 (neg.f64 x) x) y)) (if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 499999999999999962433880809496441021272335434917419230719612986112647099987896513301581746881408826875765029206827766141419520 binary64)) (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) #s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 (neg.f64 x) x) y))))
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
Outputs
(fma.f64 (*.f64 (neg.f64 y) x) x x)
(fma.f64 (*.f64 x (neg.f64 y)) x x)
(-.f64 x (*.f64 (*.f64 x y) x))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)) x)
(if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal -50000000000000002312554067952099737000613136197536344245944363600636276876889825461691709941101712565994831225244845295459698844758220898317376004554752 binary64)) (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))) (if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 499999999999999962433880809496441021272335434917419230719612986112647099987896513301581746881408826875765029206827766141419520 binary64)) (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)))))
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)) x) #s(literal -50000000000000002312554067952099737000613136197536344245944363600636276876889825461691709941101712565994831225244845295459698844758220898317376004554752 binary64)) (*.f64 #s(approx (- 1 (* x y)) (*.f64 x (neg.f64 y))) x) (if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)) x) #s(literal 499999999999999962433880809496441021272335434917419230719612986112647099987896513301581746881408826875765029206827766141419520 binary64)) (*.f64 #s(approx (- 1 (* x y)) #s(literal 1 binary64)) x) (*.f64 #s(approx (- 1 (* x y)) (*.f64 x (neg.f64 y))) x)))
(if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal -50000000000000002312554067952099737000613136197536344245944363600636276876889825461691709941101712565994831225244845295459698844758220898317376004554752 binary64)) #s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 (neg.f64 x) x) y)) (if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 499999999999999962433880809496441021272335434917419230719612986112647099987896513301581746881408826875765029206827766141419520 binary64)) (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) #s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 (neg.f64 x) x) y))))
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)) x) #s(literal -50000000000000002312554067952099737000613136197536344245944363600636276876889825461691709941101712565994831225244845295459698844758220898317376004554752 binary64)) #s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 x x) (neg.f64 y))) (if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)) x) #s(literal 499999999999999962433880809496441021272335434917419230719612986112647099987896513301581746881408826875765029206827766141419520 binary64)) (*.f64 #s(approx (- 1 (* x y)) #s(literal 1 binary64)) x) #s(approx (/ x (/ -1 (+ (* y x) -1))) (*.f64 (*.f64 x x) (neg.f64 y)))))
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
(*.f64 #s(approx (- 1 (* x y)) #s(literal 1 binary64)) x)

soundness997.0ms (17.2%)

Memory
17.4MiB live, 681.1MiB allocated
Rules
10 912×lower-fma.f64
10 912×lower-fma.f32
5 504×lower-fma.f64
5 504×lower-fma.f32
3 848×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034368
1108332
2189332
3514332
42428332
55830332
08058332
02086
03585
113385
265385
3641385
0803685
01361860
13781720
28861708
336981708
086871678
0615
0915
13115
219015
3149715
0960213
01442208
13992068
29262056
337442056
087662026
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 191 to 77 computations (59.7% saved)

preprocess37.0ms (0.6%)

Memory
4.9MiB live, 78.3MiB allocated
Compiler

Compiled 224 to 58 computations (74.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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