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

Time bar (total: 6.9s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB 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)

sample766.0ms (11.2%)

Memory
-209.2MiB live, 789.7MiB allocated
Samples
505.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 336.0ms
ival-sub: 197.0ms (58.6% of total)
ival-mult: 126.0ms (37.5% of total)
ival-true: 5.0ms (1.5% of total)
exact: 5.0ms (1.5% of total)
ival-assert: 3.0ms (0.9% of total)
Bogosity

explain135.0ms (2%)

Memory
-27.2MiB live, 95.9MiB 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
23.0ms512×0valid
Compiler

Compiled 65 to 31 computations (52.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 7.0ms (65.7% of total)
ival-sub: 2.0ms (18.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess36.0ms (0.5%)

Memory
8.4MiB live, 47.6MiB allocated
Algorithm
egg-herbie
Rules
280×lower-fma.f64
280×lower-fma.f32
184×lower-*.f32
180×lower-*.f64
146×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 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify14.0ms (0.2%)

Memory
18.2MiB live, 18.2MiB 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
280×lower-fma.f64
280×lower-fma.f32
184×lower-*.f32
180×lower-*.f64
74×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 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
x
(-.f64 #s(literal 1 binary64) (*.f64 x y))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
#s(literal 1 binary64)
(*.f64 x y)
(*.f64 y x)
y

localize18.0ms (0.3%)

Memory
-10.4MiB live, 28.4MiB 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
12.0ms256×0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 4.0ms (64.8% of total)
ival-sub: 2.0ms (32.4% 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
11.0MiB live, 11.0MiB 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 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 (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 (* 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 (* -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 (* 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 (* 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 (* -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 (* 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 -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 (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 (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 (* 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 (* -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 (* 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 (* 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 (* -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 (* 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 (* 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>) () ())) ())
Calls

6 calls:

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

simplify110.0ms (1.6%)

Memory
-16.1MiB live, 134.8MiB allocated
Algorithm
egg-herbie
Rules
4 738×lower-fma.f64
4 738×lower-fma.f32
4 354×lower-*.f64
4 354×lower-*.f32
2 520×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034368
1108332
2189332
3514332
42408332
55858332
08081332
Stop Event
iter limit
node limit
Counts
72 → 70
Calls
Call 1
Inputs
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
1
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(* x y)
(* x y)
(* x y)
(* x 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 (* x y))
(* y (- (/ 1 y) x))
(* y (- (/ 1 y) x))
(* y (- (/ 1 y) x))
(* x y)
(* x y)
(* x y)
(* 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 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
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
1
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(* x y)
(* x y)
(* x y)
(* 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 (* x y))
(* x (- (/ 1 x) y))
(* x (- (/ 1 x) y))
(* x (- (/ 1 x) y))
(* x y)
(* x y)
(* x y)
(* 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 (* x y))
(* x (+ (* -1 y) (/ 1 x)))
(* x (+ (* -1 y) (/ 1 x)))
(* x (+ (* -1 y) (/ 1 x)))
(* x y)
(* x y)
(* x y)
(* x y)
Outputs
x
(+ x (* -1 (* (pow x 2) y)))
(-.f64 x (*.f64 y (*.f64 x x)))
(+ x (* -1 (* (pow x 2) y)))
(-.f64 x (*.f64 y (*.f64 x x)))
(+ x (* -1 (* (pow x 2) y)))
(-.f64 x (*.f64 y (*.f64 x x)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (* x y)))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(+ 1 (* -1 (* x y)))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(+ 1 (* -1 (* x y)))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 y) (*.f64 x x))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(-.f64 x (*.f64 y (*.f64 x x)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(-.f64 x (*.f64 y (*.f64 x x)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(-.f64 x (*.f64 y (*.f64 x x)))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* y (- (/ 1 y) x))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* y (- (/ 1 y) x))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* y (- (/ 1 y) x))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 y) (*.f64 x x))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(-.f64 x (*.f64 y (*.f64 x x)))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(-.f64 x (*.f64 y (*.f64 x x)))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(-.f64 x (*.f64 y (*.f64 x x)))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* y (+ (* -1 x) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* y (+ (* -1 x) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* y (+ (* -1 x) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
x
(* x (+ 1 (* -1 (* x y))))
(-.f64 x (*.f64 y (*.f64 x x)))
(* x (+ 1 (* -1 (* x y))))
(-.f64 x (*.f64 y (*.f64 x x)))
(* x (+ 1 (* -1 (* x y))))
(-.f64 x (*.f64 y (*.f64 x x)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (* x y)))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(+ 1 (* -1 (* x y)))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(+ 1 (* -1 (* x y)))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 y) (*.f64 x x))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(-.f64 x (*.f64 y (*.f64 x x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(-.f64 x (*.f64 y (*.f64 x x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(-.f64 x (*.f64 y (*.f64 x x)))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* x (- (/ 1 x) y))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* x (- (/ 1 x) y))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* x (- (/ 1 x) y))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 y) (*.f64 x x))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(-.f64 x (*.f64 y (*.f64 x x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(-.f64 x (*.f64 y (*.f64 x x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(-.f64 x (*.f64 y (*.f64 x x)))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* x (+ (* -1 y) (/ 1 x)))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* x (+ (* -1 y) (/ 1 x)))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* x (+ (* -1 y) (/ 1 x)))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)

rewrite242.0ms (3.5%)

Memory
13.2MiB live, 337.4MiB allocated
Rules
21 824×lower-fma.f64
21 824×lower-fma.f32
3 708×lower-*.f32
3 704×lower-*.f64
3 004×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 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 3 binary64)))) (fma.f64 (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (pow.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 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 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 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 x x) (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (*.f64 x x) y))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (neg.f64 x)) y))))))
(*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x)) (pow.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 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 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 y x #s(literal 1 binary64)) x)
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) x))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (/.f64 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) #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 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (neg.f64 x)) y) x))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (neg.f64 x)) y) x))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x)) (fma.f64 y x #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (fma.f64 y x #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64)))) (neg.f64 (+.f64 x (*.f64 (*.f64 x x) y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (neg.f64 x)) y))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x))) (fma.f64 y x #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (-.f64 #s(literal -1 binary64) (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (fma.f64 y x #s(literal -1 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (-.f64 #s(literal -1 binary64) (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64))) (+.f64 x (*.f64 (*.f64 x x) y)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (neg.f64 x)) y)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x)) (fma.f64 y x #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x)) (-.f64 #s(literal -1 binary64) (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 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 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y x #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y x #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (*.f64 x (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (*.f64 (*.f64 x x) y)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 x (neg.f64 x)) y)))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64)))))
(/.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 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #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 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #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 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64)) (+.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))
(*.f64 (pow.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 y x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 y x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
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(+.f64 (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (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 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (neg.f64 y) x))
(/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #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))

eval156.0ms (2.3%)

Memory
22.0MiB live, 138.4MiB allocated
Compiler

Compiled 20 840 to 1 642 computations (92.1% saved)

prune437.0ms (6.4%)

Memory
-3.4MiB live, 156.4MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New6777684
Fresh000
Picked101
Done000
Total6787685
Accuracy
100.0%
Counts
685 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (*.f64 (neg.f64 y) x) x x)
75.2%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64)))
79.4%
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
41.7%
(*.f64 x (fma.f64 #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 (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))))))
53.2%
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)))
49.8%
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
47.0%
#s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x)))
Compiler

Compiled 180 to 114 computations (36.7% saved)

simplify529.0ms (7.7%)

Memory
-14.6MiB live, 134.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y x)
cost-diff0
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
cost-diff0
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
cost-diff7552
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 (neg.f64 y) x)
cost-diff0
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))
cost-diff0
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)))
cost-diff0
(*.f64 x x)
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 (neg.f64 y) (*.f64 x x))
cost-diff0
#s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x)))
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
15 292×lower-fma.f32
15 288×lower-fma.f64
3 294×lower-*.f32
3 280×lower-*.f64
1 488×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023133
037126
169126
2118126
3245126
4614126
51283126
62245126
73511126
85088126
96767126
08380126
Stop Event
iter limit
node limit
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)
#s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x)))
(*.f64 (neg.f64 y) (*.f64 x x))
(neg.f64 y)
y
(*.f64 x x)
x
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)))
x
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))
(*.f64 (neg.f64 y) x)
(neg.f64 y)
y
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
(*.f64 y x)
y
x
#s(literal 2 binary64)
(/.f64 x (fma.f64 y x #s(literal 1 binary64)))
(fma.f64 y x #s(literal 1 binary64))
Outputs
(fma.f64 (*.f64 (neg.f64 y) x) x x)
(*.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) x)
(*.f64 (neg.f64 y) x)
(*.f64 x (neg.f64 y))
(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)
#s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x)))
#s(approx (* x (- 1 (* x y))) (*.f64 (*.f64 x (neg.f64 y)) x))
(*.f64 (neg.f64 y) (*.f64 x x))
(*.f64 (*.f64 x (neg.f64 y)) x)
(neg.f64 y)
y
(*.f64 x x)
x
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)))
(*.f64 #s(approx (- 1 (* x y)) (*.f64 x (neg.f64 y))) x)
x
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))
#s(approx (- 1 (* x y)) (*.f64 x (neg.f64 y)))
(*.f64 (neg.f64 y) x)
(*.f64 x (neg.f64 y))
(neg.f64 y)
y
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
(*.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) x)
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
(pow.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 y x)
(*.f64 x y)
y
x
#s(literal 2 binary64)
(/.f64 x (fma.f64 y x #s(literal 1 binary64)))
(/.f64 x (fma.f64 x y #s(literal 1 binary64)))
(fma.f64 y x #s(literal 1 binary64))
(fma.f64 x y #s(literal 1 binary64))

localize150.0ms (2.2%)

Memory
-4.8MiB live, 146.2MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 y x)
accuracy0.24513627930532603
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
accuracy2.8805673421855773
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
accuracy9.723620426213216
(/.f64 x (fma.f64 y x #s(literal 1 binary64)))
accuracy0
(*.f64 (neg.f64 y) x)
accuracy0
(neg.f64 y)
accuracy0.06640625
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)))
accuracy30.325862348716093
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))
accuracy0
(*.f64 x x)
accuracy0
(neg.f64 y)
accuracy7.540601640260707
(*.f64 (neg.f64 y) (*.f64 x x))
accuracy29.877677189434984
#s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x)))
accuracy0.06640625
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
accuracy32.36124191067247
#s(approx (- 1 (* x y)) #s(literal 1 binary64))
accuracy0
(*.f64 (neg.f64 y) x)
accuracy0
(neg.f64 y)
accuracy0.0625
(fma.f64 (*.f64 (neg.f64 y) x) x x)
Samples
111.0ms256×0valid
Compiler

Compiled 118 to 21 computations (82.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-div: 17.0ms (43.6% of total)
ival-mult: 13.0ms (33.3% of total)
ival-sub: 3.0ms (7.7% of total)
ival-pow2: 3.0ms (7.7% of total)
ival-add: 2.0ms (5.1% of total)
ival-neg: 1.0ms (2.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series31.0ms (0.5%)

Memory
-10.5MiB live, 62.4MiB allocated
Counts
15 → 336
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 #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) (patch #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 y) (*.f64 x x)) (patch (*.f64 (neg.f64 y) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) (patch (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) (patch #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())
#s(alt (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 x (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 (* 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 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 x (taylor 0 y) (#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 (* (pow x 2) y))) (taylor 0 y) (#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 (* (pow x 2) y))) (taylor 0 y) (#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 (* (pow x 2) y))) (taylor 0 y) (#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 (taylor 0 y) (#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 (+ 1 (* -1 (* x y))) (taylor 0 y) (#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 (+ 1 (* -1 (* x y))) (taylor 0 y) (#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 (+ 1 (* -1 (* x y))) (taylor 0 y) (#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 x (taylor 0 y) (#s(alt #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) (patch #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) (patch #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) (patch #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) (patch #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) (*.f64 x x)) (patch (*.f64 (neg.f64 y) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) (*.f64 x x)) (patch (*.f64 (neg.f64 y) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) (*.f64 x x)) (patch (*.f64 (neg.f64 y) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) (*.f64 x x)) (patch (*.f64 (neg.f64 y) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) (patch (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) (patch (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) (patch (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) (patch (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) (patch (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) (patch #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) (patch #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) (patch #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) (patch #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 y) (/ 1 (* x (pow y 2)))) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) x)) (/ 1 y)) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 4)))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
Calls

6 calls:

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

simplify214.0ms (3.1%)

Memory
0.6MiB live, 241.7MiB allocated
Algorithm
egg-herbie
Rules
13 144×lower-fma.f64
13 144×lower-fma.f32
3 872×lower-*.f64
3 872×lower-*.f32
2 676×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01332186
13962022
29072020
330752012
081492005
Stop Event
iter limit
node limit
Counts
336 → 324
Calls
Call 1
Inputs
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
1
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(+ 1 (* -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))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
1
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
1
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* x y)
(* x y)
(* x y)
(* x y)
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* y (- (* (pow x 3) y) (pow x 2))))
(+ x (* y (- (* y (- (* -1 (* (pow x 4) y)) (* -1 (pow x 3)))) (pow x 2))))
(* -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 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 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 (* x y))
(* y (- (/ 1 y) x))
(* y (- (/ 1 y) x))
(* y (- (/ 1 y) x))
(* -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 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -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 (* x y))
(* y (- (/ 1 y) x))
(* y (- (/ 1 y) x))
(* y (- (/ 1 y) x))
(* -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) (pow y 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* x y)
(* x y)
(* x y)
(* x y)
(/ 1 y)
(/ (- 1 (/ 1 (* x y))) y)
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (* x y))) y)
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) (pow y 3))))) 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 y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 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 y))
(* y (+ (* -1 x) (/ 1 y)))
(* y (+ (* -1 x) (/ 1 y)))
(* y (+ (* -1 x) (/ 1 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 (* 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 y))
(* y (+ (* -1 x) (/ 1 y)))
(* y (+ (* -1 x) (/ 1 y)))
(* y (+ (* -1 x) (/ 1 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) (pow y 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* x y)
(* x y)
(* x y)
(* x y)
(/ 1 y)
(* -1 (/ (- (/ 1 (* x y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) 1) y))
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -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
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
1
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
1
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* x y)
(* x y)
(* x y)
(* x y)
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* x (- (* x (pow y 2)) y))))
(* x (+ 1 (* x (- (* x (- (* -1 (* x (pow y 3))) (* -1 (pow y 2)))) 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 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -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 (* x y))
(* x (- (/ 1 x) y))
(* x (- (/ 1 x) y))
(* x (- (/ 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))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -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))
(* x (- (/ 1 x) y))
(* x (- (/ 1 x) y))
(* x (- (/ 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) (pow y 2)))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* x y)
(* x y)
(* x y)
(* x y)
(/ 1 y)
(- (/ 1 y) (/ 1 (* x (pow y 2))))
(- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (/ 1 (* x (pow y 2))))
(- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4)))))
(* -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 (* (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))
(* x (+ (* -1 y) (/ 1 x)))
(* x (+ (* -1 y) (/ 1 x)))
(* x (+ (* -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 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(* -1 (* (pow x 2) y))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -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))
(* x (+ (* -1 y) (/ 1 x)))
(* x (+ (* -1 y) (/ 1 x)))
(* x (+ (* -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 (* (pow x 2) (pow y 2)))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* x y)
(* x y)
(* x y)
(* x y)
(/ 1 y)
(- (/ 1 y) (/ 1 (* x (pow y 2))))
(+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) x)) (/ 1 y))
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 4)))) x)) (/ 1 (pow y 2))) x)) (/ 1 y))
Outputs
x
(+ x (* -1 (* (pow x 2) y)))
(-.f64 x (*.f64 y (*.f64 x x)))
(+ x (* -1 (* (pow x 2) y)))
(-.f64 x (*.f64 y (*.f64 x x)))
(+ x (* -1 (* (pow x 2) y)))
(-.f64 x (*.f64 y (*.f64 x x)))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 y)
(neg.f64 y)
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(*.f64 (neg.f64 y) (*.f64 y (*.f64 x x)))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x x)) y))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x x)) y))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x x)) y))
(* (pow x 2) (pow y 2))
(*.f64 (*.f64 y (*.f64 x x)) y)
(* (pow x 2) (pow y 2))
(*.f64 (*.f64 y (*.f64 x x)) y)
(* (pow x 2) (pow y 2))
(*.f64 (*.f64 y (*.f64 x x)) y)
(* (pow x 2) (pow y 2))
(*.f64 (*.f64 y (*.f64 x x)) y)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(- (/ 1 y) (/ 1 (* x (pow y 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) y)
(- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (/ 1 (* x (pow y 2))))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) x) (/.f64 #s(literal 1 binary64) x)) y) #s(literal -1 binary64)) y)
(- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4)))))
(-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x)) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) x) x) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) y))
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 y) (*.f64 x x))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(-.f64 x (*.f64 y (*.f64 x x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(-.f64 x (*.f64 y (*.f64 x x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(-.f64 x (*.f64 y (*.f64 x x)))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 y) (*.f64 x x))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(-.f64 x (*.f64 y (*.f64 x x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(-.f64 x (*.f64 y (*.f64 x x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(-.f64 x (*.f64 y (*.f64 x x)))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* x (+ (* -1 y) (/ 1 x)))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* x (+ (* -1 y) (/ 1 x)))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* x (+ (* -1 y) (/ 1 x)))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 y) (*.f64 x x))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(-.f64 x (*.f64 y (*.f64 x x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(-.f64 x (*.f64 y (*.f64 x x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(-.f64 x (*.f64 y (*.f64 x x)))
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 y) (*.f64 x x))
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 y) (*.f64 x x))
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 y) (*.f64 x x))
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 y) (*.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)
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 y) (*.f64 x x))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(-.f64 x (*.f64 y (*.f64 x x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(-.f64 x (*.f64 y (*.f64 x x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(-.f64 x (*.f64 y (*.f64 x x)))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* x (+ (* -1 y) (/ 1 x)))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* x (+ (* -1 y) (/ 1 x)))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* x (+ (* -1 y) (/ 1 x)))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 y) (*.f64 x x))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(-.f64 x (*.f64 y (*.f64 x x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(-.f64 x (*.f64 y (*.f64 x x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(-.f64 x (*.f64 y (*.f64 x x)))
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (neg.f64 y) (*.f64 y (*.f64 x x)))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x x)) y))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x x)) y))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x x)) y))
(* (pow x 2) (pow y 2))
(*.f64 (*.f64 y (*.f64 x x)) y)
(* (pow x 2) (pow y 2))
(*.f64 (*.f64 y (*.f64 x x)) y)
(* (pow x 2) (pow y 2))
(*.f64 (*.f64 y (*.f64 x x)) y)
(* (pow x 2) (pow y 2))
(*.f64 (*.f64 y (*.f64 x x)) y)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(- (/ 1 y) (/ 1 (* x (pow y 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) y)
(+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) x)) (/ 1 y))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) x) (/.f64 #s(literal 1 binary64) x)) y) #s(literal -1 binary64)) y)
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 4)))) x)) (/ 1 (pow y 2))) x)) (/ 1 y))
(-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x)) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) x) x) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) y))

rewrite228.0ms (3.3%)

Memory
-10.2MiB live, 273.0MiB allocated
Rules
11 936×lower-fma.f32
11 932×lower-fma.f64
5 644×lower-*.f32
5 630×lower-*.f64
3 544×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023109
037102
1133102
2792102
08904102
Stop Event
iter limit
node limit
iter limit
Counts
15 → 862
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))
#s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x)))
(*.f64 (neg.f64 y) (*.f64 x x))
(*.f64 x x)
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)))
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
(*.f64 y x)
(/.f64 x (fma.f64 y x #s(literal 1 binary64)))
Outputs
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) x) #s(literal 1 binary64)) (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 x (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 x y #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 x (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 x (/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))) (fma.f64 x y #s(literal -1 binary64)))
(*.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 x (fma.f64 (neg.f64 x) y #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (fma.f64 x y #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 6 binary64))) (fma.f64 x y #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (pow.f64 (*.f64 x y) #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (*.f64 (/.f64 x (fma.f64 x y #s(literal 1 binary64))) (fma.f64 (neg.f64 x) y #s(literal -1 binary64))) (fma.f64 x y #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) x) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 x (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 (fma.f64 x y #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 x (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 x y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(*.f64 (/.f64 x (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 x (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (/.f64 x (pow.f64 (fma.f64 x y #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (*.f64 (fma.f64 x y #s(literal -1 binary64)) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 x (pow.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal -1 binary64)) #s(literal 1 binary64)) x))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) x) (pow.f64 (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) (pow.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 6 binary64))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) (pow.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (pow.f64 (*.f64 x y) #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) y))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (*.f64 x y) x))))
(*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal 1 binary64))))
(*.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) y (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) x x)))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y) (fma.f64 x x (*.f64 y (pow.f64 x #s(literal 3 binary64))))))))
(*.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))))
(*.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (fma.f64 (*.f64 x y) (fma.f64 x y (pow.f64 (*.f64 x y) #s(literal 3 binary64))) #s(literal 1 binary64)))))
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x y #s(literal 1 binary64)))))
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 (*.f64 x y) (fma.f64 x y (pow.f64 (*.f64 x y) #s(literal 3 binary64))) #s(literal 1 binary64)))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) x) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x y #s(literal 1 binary64)))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 6 binary64))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (pow.f64 (*.f64 x y) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 6 binary64))) x) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (pow.f64 (*.f64 x y) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 x y #s(literal 1 binary64)))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) x) (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (*.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 x y #s(literal 1 binary64)) x))))
(*.f64 (*.f64 x (fma.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) y (neg.f64 x))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x y) x x)))
(*.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) x))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 6 binary64))) (*.f64 (pow.f64 (fma.f64 (*.f64 x y) (fma.f64 x y (pow.f64 (*.f64 x y) #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 x y #s(literal 1 binary64)) x) (fma.f64 (*.f64 x y) (fma.f64 x y (pow.f64 (*.f64 x y) #s(literal 3 binary64))) #s(literal 1 binary64)))))
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(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #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 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) (pow.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 x y (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 x y) #s(literal 6 binary64)) (pow.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) (*.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 x y (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))))
(/.f64 (*.f64 x (fma.f64 x y #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 x (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 x #s(literal -1 binary64)) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x y #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) x))
(/.f64 (neg.f64 x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x y #s(literal 1 binary64)) x))
(/.f64 x (fma.f64 x y #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x y #s(literal 1 binary64)) x)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))))
(neg.f64 (*.f64 (/.f64 x (fma.f64 (neg.f64 x) y #s(literal -1 binary64))) #s(literal 1 binary64)))
(neg.f64 (/.f64 x (fma.f64 (neg.f64 x) y #s(literal -1 binary64))))
(fma.f64 (/.f64 x (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 x y) (*.f64 (/.f64 x (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(fma.f64 (/.f64 x (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 x (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))))
(fma.f64 (/.f64 x (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) (*.f64 (/.f64 x (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 x (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) (/.f64 x (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 x y) (/.f64 x (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 x (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(fma.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) (/.f64 x (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 x (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 x) y #s(literal -1 binary64))) (/.f64 x (fma.f64 (neg.f64 x) y #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 x (fma.f64 (neg.f64 x) y #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x y #s(literal 1 binary64)) x)) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 x y) (/.f64 x (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(+.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 x (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) (/.f64 x (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(+.f64 (*.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) (/.f64 x (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 x (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(+.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 x y)) (*.f64 (/.f64 x (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 x (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (*.f64 (/.f64 x (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))))
(+.f64 (*.f64 (/.f64 x (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))) (*.f64 (/.f64 x (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))

eval239.0ms (3.5%)

Memory
27.5MiB live, 334.1MiB allocated
Compiler

Compiled 24 974 to 1 761 computations (92.9% saved)

prune107.0ms (1.6%)

Memory
-0.8MiB live, 269.2MiB allocated
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New1 29351 298
Fresh112
Picked145
Done000
Total1 295101 305
Accuracy
100.0%
Counts
1 305 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.3%
(fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y) x x)
62.2%
(fma.f64 (*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) y) (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal 1 binary64))) (/.f64 x (fma.f64 x y #s(literal 1 binary64))))
99.9%
(fma.f64 (*.f64 (neg.f64 y) x) x x)
75.2%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64)))
64.0%
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) x) (fma.f64 x y #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))
99.9%
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))))
99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (neg.f64 y)) x x)))
53.2%
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)))
49.8%
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
47.0%
#s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x)))
Compiler

Compiled 199 to 136 computations (31.7% saved)

simplify128.0ms (1.9%)

Memory
-7.9MiB live, 167.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 x #s(literal 3 binary64))
cost-diff0
(*.f64 y (pow.f64 x #s(literal 3 binary64)))
cost-diff0
(*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) y)
cost-diff8832
(fma.f64 (*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) y) (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal 1 binary64))) (/.f64 x (fma.f64 x y #s(literal 1 binary64))))
cost-diff0
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
cost-diff0
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x)
cost-diff7552
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64)))
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 x (neg.f64 y))
cost-diff0
(fma.f64 (*.f64 x (neg.f64 y)) x x)
cost-diff1664
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (neg.f64 y)) x x)))
cost-diff0
(*.f64 (neg.f64 y) y)
cost-diff0
(*.f64 (*.f64 (neg.f64 y) y) x)
cost-diff0
(fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y) x x)
cost-diff1024
(/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y)
cost-diff0
(neg.f64 y)
cost-diff0
(fma.f64 x (neg.f64 y) #s(literal 1 binary64))
cost-diff128
(/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))
cost-diff960
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))))
Rules
8 784×lower-fma.f32
8 774×lower-fma.f64
4 274×lower-*.f32
4 260×lower-*.f64
1 518×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031197
060183
1112171
2228171
3637163
41420163
53018163
65105163
08115161
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))))
x
(/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))
#s(literal 1 binary64)
(fma.f64 x (neg.f64 y) #s(literal 1 binary64))
(neg.f64 y)
y
(fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y) x x)
(/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y)
(*.f64 (*.f64 (neg.f64 y) y) x)
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
x
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (neg.f64 y)) x x)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (neg.f64 y)) x x))
(fma.f64 (*.f64 x (neg.f64 y)) x x)
(*.f64 x (neg.f64 y))
x
(neg.f64 y)
y
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x)
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
(*.f64 y x)
y
x
#s(literal 2 binary64)
(fma.f64 y x #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) y) (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal 1 binary64))) (/.f64 x (fma.f64 x y #s(literal 1 binary64))))
(*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) y)
(*.f64 y (pow.f64 x #s(literal 3 binary64)))
y
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal 1 binary64)))
#s(literal -1 binary64)
(fma.f64 x y #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 x (fma.f64 x y #s(literal 1 binary64)))
Outputs
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))))
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
x
(/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))
#s(literal 1 binary64)
(fma.f64 x (neg.f64 y) #s(literal 1 binary64))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(neg.f64 y)
y
(fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y) x x)
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
(/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y)
(*.f64 (neg.f64 y) x)
(*.f64 (*.f64 (neg.f64 y) y) x)
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
x
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (neg.f64 y)) x x)))
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (neg.f64 y)) x x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 y x #s(literal -1 binary64)))
(fma.f64 (*.f64 x (neg.f64 y)) x x)
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
(*.f64 x (neg.f64 y))
(*.f64 (neg.f64 y) x)
x
(neg.f64 y)
y
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x)
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
(*.f64 y x)
y
x
#s(literal 2 binary64)
(fma.f64 y x #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) y) (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal 1 binary64))) (/.f64 x (fma.f64 x y #s(literal 1 binary64))))
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
(*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) y)
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) y)
(*.f64 y (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) y)
y
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal 1 binary64)))
#s(literal -1 binary64)
(fma.f64 x y #s(literal 1 binary64))
(fma.f64 y x #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 x (fma.f64 x y #s(literal 1 binary64)))
(/.f64 x (fma.f64 y x #s(literal 1 binary64)))

localize152.0ms (2.2%)

Memory
-16.3MiB live, 183.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy4.241235144141322
(*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) y)
accuracy5.104356706309595
(*.f64 y (pow.f64 x #s(literal 3 binary64)))
accuracy9.723620426213216
(/.f64 x (fma.f64 x y #s(literal 1 binary64)))
accuracy14.305067389780714
(fma.f64 (*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) y) (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal 1 binary64))) (/.f64 x (fma.f64 x y #s(literal 1 binary64))))
accuracy0
(*.f64 y x)
accuracy0.24513627930532603
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
accuracy0.2731808044407217
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x)
accuracy14.811254521209568
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64)))
accuracy0
(neg.f64 y)
accuracy0.0625
(fma.f64 (*.f64 x (neg.f64 y)) x x)
accuracy0.1953125
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (neg.f64 y)) x x)))
accuracy0.3072905812550536
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (neg.f64 y)) x x))
accuracy0
(neg.f64 y)
accuracy0.0625
(fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y) x x)
accuracy7.903618519300908
(*.f64 (*.f64 (neg.f64 y) y) x)
accuracy16.080774963133752
(/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y)
accuracy0
(fma.f64 x (neg.f64 y) #s(literal 1 binary64))
accuracy0
(neg.f64 y)
accuracy0.0625
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))))
accuracy0.1909046580196444
(/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))
Samples
127.0ms256×0valid
Compiler

Compiled 214 to 37 computations (82.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 70.0ms
ival-mult: 20.0ms (28.5% of total)
ival-pow: 20.0ms (28.5% of total)
ival-div: 13.0ms (18.5% of total)
ival-add: 12.0ms (17.1% of total)
ival-pow2: 3.0ms (4.3% of total)
ival-sub: 1.0ms (1.4% of total)
exact: 1.0ms (1.4% of total)
ival-neg: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series44.0ms (0.6%)

Memory
34.8MiB live, 71.8MiB allocated
Counts
22 → 492
Calls
Call 1
Inputs
#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) (patch (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y) (patch (/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y) x x) (patch (fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y) x x) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (neg.f64 y) y) x) (patch (*.f64 (*.f64 (neg.f64 y) y) x) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (neg.f64 y)) x x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (neg.f64 y)) x x))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 x (neg.f64 y)) x x) (patch (fma.f64 (*.f64 x (neg.f64 y)) x x) #<representation binary64>) () ())
#s(alt (*.f64 x (neg.f64 y)) (patch (*.f64 x (neg.f64 y)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) y) (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal 1 binary64))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) (patch (fma.f64 (*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) y) (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal 1 binary64))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) y) (patch (*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) y) #<representation binary64>) () ())
#s(alt (*.f64 y (pow.f64 x #s(literal 3 binary64))) (patch (*.f64 y (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (neg.f64 y)) x x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (neg.f64 y)) x x)) #<representation binary64>) () ())
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())
#s(alt (/.f64 x (fma.f64 x y #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 x y #s(literal 1 binary64))) #<representation binary64>) () ())
Outputs
#s(alt x (taylor 0 y) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x y)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (* (pow x 2) y) (* -1 x)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (* y (- (* (pow x 3) y) (* -1 (pow x 2)))) (* -1 x)))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) (patch (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 y) (#s(alt (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) (patch (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 y) (#s(alt (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) (patch (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 y) (#s(alt (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) (patch (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) #<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 (* x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y) (patch (/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y) (patch (/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y) (patch (/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y) (patch (/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y) x x) (patch (fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y) x x) (patch (fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y) x x) (patch (fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y) x x) (patch (fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (neg.f64 y) y) x) (patch (*.f64 (*.f64 (neg.f64 y) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (neg.f64 y) y) x) (patch (*.f64 (*.f64 (neg.f64 y) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (neg.f64 y) y) x) (patch (*.f64 (*.f64 (neg.f64 y) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (neg.f64 y) y) x) (patch (*.f64 (*.f64 (neg.f64 y) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (neg.f64 y)) x x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (neg.f64 y)) x x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (neg.f64 y)) x x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (neg.f64 y)) x x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (neg.f64 y)) x x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (neg.f64 y)) x x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (neg.f64 y)) x x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (neg.f64 y)) x x))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (*.f64 x (neg.f64 y)) x x) (patch (fma.f64 (*.f64 x (neg.f64 y)) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 x (neg.f64 y)) x x) (patch (fma.f64 (*.f64 x (neg.f64 y)) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 x (neg.f64 y)) x x) (patch (fma.f64 (*.f64 x (neg.f64 y)) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 x (neg.f64 y)) x x) (patch (fma.f64 (*.f64 x (neg.f64 y)) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (*.f64 x (neg.f64 y)) (patch (*.f64 x (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (*.f64 x (neg.f64 y)) (patch (*.f64 x (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (*.f64 x (neg.f64 y)) (patch (*.f64 x (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (*.f64 x (neg.f64 y)) (patch (*.f64 x (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 3) (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 3) (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 3) (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* (pow x 2) (pow y 2)))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* (pow x 2) (pow y 2)))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* (pow x 2) (pow y 2)))) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) y) (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal 1 binary64))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) (patch (fma.f64 (*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) y) (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal 1 binary64))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) y) (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal 1 binary64))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) (patch (fma.f64 (*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) y) (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal 1 binary64))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) y) (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal 1 binary64))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) (patch (fma.f64 (*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) y) (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal 1 binary64))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) y) (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal 1 binary64))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) (patch (fma.f64 (*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) y) (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal 1 binary64))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) y) (patch (*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) y) (patch (*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) y) (patch (*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) y) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) y) (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal 1 binary64))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) (patch (fma.f64 (*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) y) (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal 1 binary64))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) y) (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal 1 binary64))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) (patch (fma.f64 (*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) y) (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal 1 binary64))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) y) (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal 1 binary64))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) (patch (fma.f64 (*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) y) (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal 1 binary64))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) y) (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal 1 binary64))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) (patch (fma.f64 (*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) y) (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal 1 binary64))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) y) (patch (*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) y) (patch (*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) y) (patch (*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) y) (patch (*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) y) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) y) (taylor -inf x) (#s(alt (*.f64 y (pow.f64 x #s(literal 3 binary64))) (patch (*.f64 y (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) y) (taylor -inf x) (#s(alt (*.f64 y (pow.f64 x #s(literal 3 binary64))) (patch (*.f64 y (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) y) (taylor -inf x) (#s(alt (*.f64 y (pow.f64 x #s(literal 3 binary64))) (patch (*.f64 y (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) y) (taylor -inf x) (#s(alt (*.f64 y (pow.f64 x #s(literal 3 binary64))) (patch (*.f64 y (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (neg.f64 y)) x x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (neg.f64 y)) x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) (pow x 2))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (neg.f64 y)) x x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (neg.f64 y)) x x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (neg.f64 y)) x x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (neg.f64 y)) x x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (+ (/ 1 (* (pow x 2) (pow y 4))) (/ 1 (pow y 2)))) x)) (/ 1 y)) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (neg.f64 y)) x x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (neg.f64 y)) x x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 x y #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 x y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (/ 1 y) (/ 1 (* x (pow y 2)))) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 x y #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 x y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) x)) (/ 1 y)) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 x y #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 x y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 4)))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 x y #s(literal 1 binary64))) (patch (/.f64 x (fma.f64 x y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
7.0ms
y
@inf
((/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (+ (* x (neg y)) 1) (neg y) (/ (* (* (neg y) y) x) y) (+ (* (/ (* (* (neg y) y) x) y) x) x) (* (* (neg y) y) x) (* (neg y) y) (/ 1 (/ 1 (+ (* (* x (neg y)) x) x))) (+ (* (* x (neg y)) x) x) (* x (neg y)) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (+ (* (* (* y (pow x 3)) y) (/ -1 (+ (* x y) 1))) (/ x (+ (* x y) 1))) (* (* y (pow x 3)) y) (* y (pow x 3)) (pow x 3) (/ 1 (+ (* (* x (neg y)) x) x)) (* y x) (/ x (+ (* x y) 1)))
7.0ms
x
@inf
((/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (+ (* x (neg y)) 1) (neg y) (/ (* (* (neg y) y) x) y) (+ (* (/ (* (* (neg y) y) x) y) x) x) (* (* (neg y) y) x) (* (neg y) y) (/ 1 (/ 1 (+ (* (* x (neg y)) x) x))) (+ (* (* x (neg y)) x) x) (* x (neg y)) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (+ (* (* (* y (pow x 3)) y) (/ -1 (+ (* x y) 1))) (/ x (+ (* x y) 1))) (* (* y (pow x 3)) y) (* y (pow x 3)) (pow x 3) (/ 1 (+ (* (* x (neg y)) x) x)) (* y x) (/ x (+ (* x y) 1)))
4.0ms
y
@-inf
((/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (+ (* x (neg y)) 1) (neg y) (/ (* (* (neg y) y) x) y) (+ (* (/ (* (* (neg y) y) x) y) x) x) (* (* (neg y) y) x) (* (neg y) y) (/ 1 (/ 1 (+ (* (* x (neg y)) x) x))) (+ (* (* x (neg y)) x) x) (* x (neg y)) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (+ (* (* (* y (pow x 3)) y) (/ -1 (+ (* x y) 1))) (/ x (+ (* x y) 1))) (* (* y (pow x 3)) y) (* y (pow x 3)) (pow x 3) (/ 1 (+ (* (* x (neg y)) x) x)) (* y x) (/ x (+ (* x y) 1)))
4.0ms
x
@-inf
((/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (+ (* x (neg y)) 1) (neg y) (/ (* (* (neg y) y) x) y) (+ (* (/ (* (* (neg y) y) x) y) x) x) (* (* (neg y) y) x) (* (neg y) y) (/ 1 (/ 1 (+ (* (* x (neg y)) x) x))) (+ (* (* x (neg y)) x) x) (* x (neg y)) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (+ (* (* (* y (pow x 3)) y) (/ -1 (+ (* x y) 1))) (/ x (+ (* x y) 1))) (* (* y (pow x 3)) y) (* y (pow x 3)) (pow x 3) (/ 1 (+ (* (* x (neg y)) x) x)) (* y x) (/ x (+ (* x y) 1)))
4.0ms
y
@0
((/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (+ (* x (neg y)) 1) (neg y) (/ (* (* (neg y) y) x) y) (+ (* (/ (* (* (neg y) y) x) y) x) x) (* (* (neg y) y) x) (* (neg y) y) (/ 1 (/ 1 (+ (* (* x (neg y)) x) x))) (+ (* (* x (neg y)) x) x) (* x (neg y)) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (+ (* (* (* y (pow x 3)) y) (/ -1 (+ (* x y) 1))) (/ x (+ (* x y) 1))) (* (* y (pow x 3)) y) (* y (pow x 3)) (pow x 3) (/ 1 (+ (* (* x (neg y)) x) x)) (* y x) (/ x (+ (* x y) 1)))

simplify173.0ms (2.5%)

Memory
3.9MiB live, 228.2MiB allocated
Algorithm
egg-herbie
Rules
9 770×lower-fma.f64
9 770×lower-fma.f32
3 956×lower-*.f64
3 956×lower-*.f32
2 206×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02643651
17743440
218883417
361583417
085733387
Stop Event
iter limit
node limit
Counts
492 → 476
Calls
Call 1
Inputs
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
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
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
x
(+ x (* -1 (* (pow x 3) (pow y 2))))
(+ x (* -1 (* (pow x 3) (pow y 2))))
(+ x (* -1 (* (pow x 3) (pow y 2))))
1
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(* (pow x 3) (pow y 2))
(* (pow x 3) (pow y 2))
(* (pow x 3) (pow y 2))
(* (pow x 3) (pow y 2))
(* (pow x 3) y)
(* (pow x 3) y)
(* (pow x 3) y)
(* (pow x 3) y)
(/ 1 x)
(+ y (/ 1 x))
(+ (* y (+ 1 (* x y))) (/ 1 x))
(+ (* y (+ 1 (* y (- (* (pow x 2) y) (* -1 x))))) (/ 1 x))
(* x y)
(* x y)
(* x y)
(* x y)
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* y (- (* (pow x 3) y) (pow x 2))))
(+ x (* y (- (* y (- (* -1 (* (pow x 4) y)) (* -1 (pow x 3)))) (pow x 2))))
(* -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 (* 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))
(* y (+ (* -1 x) (/ 1 y)))
(* y (+ (* -1 x) (/ 1 y)))
(* y (+ (* -1 x) (/ 1 y)))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x 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 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -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))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x 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 3) (pow y 2)))
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* -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)))
(* (pow x 3) (pow y 2))
(* (pow x 3) (pow y 2))
(* (pow x 3) (pow y 2))
(* (pow x 3) (pow y 2))
(* (pow x 3) y)
(* (pow x 3) y)
(* (pow x 3) y)
(* (pow x 3) y)
(/ -1 (* (pow x 2) y))
(* -1 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y))
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 5) y)) (/ 1 (pow x 4))) (pow y 2))) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2)))) y)
(* x y)
(* x y)
(* x y)
(* x y)
(/ 1 y)
(/ (- 1 (/ 1 (* x y))) y)
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (/ 1 (* x y))) y)
(/ (- (+ 1 (/ 1 (* (pow x 2) (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) (pow y 3))))) 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 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 (* x y))
(* -1 (* y (- x (/ 1 y))))
(* -1 (* y (- x (/ 1 y))))
(* -1 (* y (- x (/ 1 y))))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* 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 (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -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 (* 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 y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* 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 3) (pow y 2)))
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
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(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
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(* (pow x 3) y)
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(* -1 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y))
(* -1 (/ (+ (/ 1 (* (pow x 3) y)) (+ (/ 1 (* (pow x 4) (pow y 2))) (/ 1 (pow x 2)))) y))
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(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)) 1) y))
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(* x (+ 1 (* -1 (* x y))))
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(* x (+ 1 (* -1 (* x y))))
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(* -1 (* x y))
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(* x (+ 1 (* -1 (* x y))))
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(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
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(* x (+ 1 (* -1 (* x y))))
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x
(* x (+ 1 (* -1 (* x y))))
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1
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(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
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(* (pow x 3) (pow y 2))
(* (pow x 3) (pow y 2))
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(* (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)
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(/ 1 x)
(/ (+ 1 (* x y)) x)
(/ (+ 1 (* x (- (* x (pow y 2)) (* -1 y)))) x)
(/ (+ 1 (* x (- (* x (- (* x (pow y 3)) (* -1 (pow y 2)))) (* -1 y)))) x)
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(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
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(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) (pow x 2))
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Outputs
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
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(+ 1 (* x y))
(fma.f64 y x #s(literal 1 binary64))
(+ 1 (* y (- (* (pow x 2) y) (* -1 x))))
(fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) y #s(literal 1 binary64))
(+ 1 (* y (- (* y (- (* (pow x 3) y) (* -1 (pow x 2)))) (* -1 x))))
(fma.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) y #s(literal 1 binary64)) y) x #s(literal 1 binary64))
1
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(+ 1 (* -1 (* x y)))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
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(* -1 y)
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(* -1 (* x y))
(*.f64 (neg.f64 x) y)
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x
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(+ x (* -1 (* (pow x 2) y)))
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(+ x (* -1 (* (pow x 2) y)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
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1
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(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (pow y 2))
(*.f64 (*.f64 (*.f64 y y) x) x)
(* (pow x 2) (pow y 2))
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(* (pow x 2) (pow y 2))
(*.f64 (*.f64 (*.f64 y y) x) x)
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(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(* (pow x 3) (pow y 2))
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(* (pow x 3) (pow y 2))
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(* (pow x 3) (pow y 2))
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(* (pow x 3) (pow y 2))
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(* (pow x 3) y)
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(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
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(+.f64 (/.f64 #s(literal 1 binary64) x) y)
(+ (* y (+ 1 (* x y))) (/ 1 x))
(fma.f64 (fma.f64 y x #s(literal 1 binary64)) y (/.f64 #s(literal 1 binary64) x))
(+ (* y (+ 1 (* y (- (* (pow x 2) y) (* -1 x))))) (/ 1 x))
(fma.f64 (fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) y #s(literal 1 binary64)) y (/.f64 #s(literal 1 binary64) x))
(* x y)
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(* x y)
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x
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(+ x (* y (- (* (pow x 3) y) (pow x 2))))
(*.f64 (fma.f64 (*.f64 y (fma.f64 y x #s(literal -1 binary64))) x #s(literal 1 binary64)) x)
(+ x (* y (- (* y (- (* -1 (* (pow x 4) y)) (* -1 (pow x 3)))) (pow x 2))))
(fma.f64 (neg.f64 (fma.f64 x x (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) y (pow.f64 (neg.f64 x) #s(literal 3 binary64))) y))) y x)
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 y) (*.f64 x x))
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(*.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 (* x y))
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(* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y))
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(/ (- (* -1 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) y)) y)) y)
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) (pow y 2))) (+ (/ 1 x) (/ 1 (* (pow x 2) y)))) y)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) y))) y)) y) (/.f64 #s(literal 1 binary64) x)) y)
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(*.f64 (neg.f64 x) y)
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(* -1 y)
(neg.f64 y)
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(*.f64 (neg.f64 x) y)
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(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 y) (*.f64 x 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 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 x) y) y)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 x) y) y)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 x) y) y)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 x) y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (* (pow x 2) y))
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(/.f64 #s(literal 1 binary64) y)
(- (/ 1 y) (/ 1 (* x (pow y 2))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) y)
(+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) x)) (/ 1 y))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) y) #s(literal -1 binary64)) y)
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 4)))) x)) (/ 1 (pow y 2))) x)) (/ 1 y))
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x))) x)) x))

rewrite298.0ms (4.3%)

Memory
-1.0MiB live, 310.8MiB allocated
Rules
5 874×lower-fma.f32
5 862×lower-fma.f64
4 096×lower-*.f32
4 082×lower-*.f64
3 868×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031162
060157
1257148
21640141
08732139
Stop Event
iter limit
node limit
iter limit
Counts
22 → 1 358
Calls
Call 1
Inputs
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))
(fma.f64 x (neg.f64 y) #s(literal 1 binary64))
(neg.f64 y)
(/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y)
(fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y) x x)
(*.f64 (*.f64 (neg.f64 y) y) x)
(*.f64 (neg.f64 y) y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (neg.f64 y)) x x)))
(fma.f64 (*.f64 x (neg.f64 y)) x x)
(*.f64 x (neg.f64 y))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x)
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
(fma.f64 (*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) y) (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal 1 binary64))) (/.f64 x (fma.f64 x y #s(literal 1 binary64))))
(*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) y)
(*.f64 y (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (neg.f64 y)) x x))
(*.f64 y x)
(/.f64 x (fma.f64 x y #s(literal 1 binary64)))
Outputs
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y) (*.f64 x (-.f64 x (*.f64 (*.f64 (neg.f64 y) x) x)))) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y) (*.f64 x (-.f64 x (*.f64 (*.f64 (neg.f64 y) x) x))))))
(*.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (fma.f64 y x #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (fma.f64 y x #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 x (pow.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 x (pow.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (pow.f64 (+.f64 (fma.f64 y x #s(literal 1 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
(*.f64 (/.f64 x (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 y x #s(literal -1 binary64)) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 x (pow.f64 (+.f64 (fma.f64 y x #s(literal 1 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (fma.f64 y x #s(literal 1 binary64))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y) (*.f64 (neg.f64 x) x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 (neg.f64 y) x) x (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y) (*.f64 x (-.f64 x (*.f64 (*.f64 (neg.f64 y) x) x)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 y x #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) (/.f64 x (fma.f64 y x #s(literal -1 binary64)))) #s(literal 1 binary64)) (fma.f64 y x #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (+.f64 (fma.f64 y x #s(literal 1 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y) (*.f64 (neg.f64 x) x)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 (neg.f64 y) x) x (neg.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y) (*.f64 x (-.f64 x (*.f64 (*.f64 (neg.f64 y) x) x)))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (fma.f64 y x #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) #s(literal 1 binary64)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 x (fma.f64 y x #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 x (fma.f64 y x #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (fma.f64 y x #s(literal 1 binary64))))
(*.f64 (/.f64 x #s(literal -1 binary64)) (fma.f64 y x #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) (/.f64 x (fma.f64 y x #s(literal -1 binary64)))) (fma.f64 y x #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (fma.f64 y x #s(literal 1 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (fma.f64 y x #s(literal 1 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(*.f64 (/.f64 x (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 x (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 (+.f64 (fma.f64 y x #s(literal 1 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (pow.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y) (*.f64 (neg.f64 x) x)) (pow.f64 (fma.f64 (*.f64 (neg.f64 y) x) x (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x))
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y) (*.f64 x (-.f64 x (*.f64 (*.f64 (neg.f64 y) x) x)))) #s(literal -1 binary64)))
(*.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 x) (fma.f64 y x #s(literal -1 binary64)))
(*.f64 (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(*.f64 (fma.f64 y x #s(literal 1 binary64)) x)
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (fma.f64 y x #s(literal -1 binary64)) x) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) x))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
(*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (/.f64 (fma.f64 (*.f64 (neg.f64 y) x) x (neg.f64 x)) (fma.f64 (*.f64 (neg.f64 y) x) x (neg.f64 x))))
(*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x))
(*.f64 x (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 x (fma.f64 y x #s(literal 1 binary64)))
(pow.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) #s(literal -1 binary64)) (pow.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) #s(literal -1 binary64))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 y) x) x (neg.f64 x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y) (*.f64 (neg.f64 x) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y) (*.f64 x (-.f64 x (*.f64 (*.f64 (neg.f64 y) x) x)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) #s(literal 1 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) #s(literal 1 binary64)) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) x) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) x) x)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) x) x)) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) x) x)) (*.f64 #s(literal 1 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) x) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) x) x)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) x) x))) (*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) x) x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 y) x) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y)) (*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (neg.f64 y) x) x)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) (*.f64 #s(literal 1 binary64) x)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) #s(literal 1 binary64))) (*.f64 x (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (fma.f64 y x #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (+.f64 (fma.f64 y x #s(literal 1 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))) (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y) (*.f64 (neg.f64 x) x)))) (neg.f64 (fma.f64 (*.f64 (neg.f64 y) x) x (neg.f64 x))))
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(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x))
(neg.f64 (pow.f64 (*.f64 (fma.f64 y x #s(literal -1 binary64)) x) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (/.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(-.f64 (/.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x)) (/.f64 (pow.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x)))
(-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 y) x) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x)))
(-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (+.f64 (log1p.f64 (*.f64 y x)) (log.f64 x))) #s(literal 1 binary64)))
(exp.f64 (neg.f64 (+.f64 (log1p.f64 (*.f64 y x)) (log.f64 x))))
(*.f64 (exp.f64 (log.f64 y)) x)
(*.f64 (pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 y x)))
(*.f64 (*.f64 y x) #s(literal 1 binary64))
(*.f64 y x)
(*.f64 #s(literal 1 binary64) (*.f64 y x))
(*.f64 x (exp.f64 (log.f64 y)))
(*.f64 x (pow.f64 (*.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 x (*.f64 y #s(literal 1 binary64)))
(*.f64 x y)
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(exp.f64 (log.f64 (*.f64 y x)))
(*.f64 (/.f64 x (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 y x #s(literal -1 binary64)))
(*.f64 (/.f64 x (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (fma.f64 y x #s(literal 1 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 x (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (fma.f64 y x #s(literal 1 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) x)
(*.f64 (neg.f64 x) (pow.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
(*.f64 x (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 (fma.f64 y x #s(literal 1 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 y x #s(literal 1 binary64)) x) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (fma.f64 y x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (fma.f64 y x #s(literal -1 binary64))))
(/.f64 (neg.f64 x) (fma.f64 y x #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (fma.f64 y x #s(literal 1 binary64)) x) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 y x #s(literal 1 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 y x #s(literal 1 binary64)) x) #s(literal 1 binary64)))
(/.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)))
(neg.f64 (/.f64 (neg.f64 x) (fma.f64 y x #s(literal 1 binary64))))
(neg.f64 (/.f64 x (fma.f64 y x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y x #s(literal -1 binary64))) (/.f64 x (fma.f64 y x #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 y x #s(literal 1 binary64)) x)) #s(literal -1 binary64)))

eval331.0ms (4.8%)

Memory
27.7MiB live, 561.7MiB allocated
Compiler

Compiled 36 872 to 3 304 computations (91% saved)

prune245.0ms (3.6%)

Memory
6.3MiB live, 455.3MiB allocated
Pruning

11 alts after pruning (6 fresh and 5 done)

PrunedKeptTotal
New1 87751 882
Fresh011
Picked415
Done044
Total1 881111 892
Accuracy
100.0%
Counts
1 892 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.3%
(fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y) x x)
99.9%
(fma.f64 (*.f64 (neg.f64 y) x) x x)
64.0%
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) x) (fma.f64 x y #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))
26.2%
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) x) (fma.f64 y x #s(literal 1 binary64)))
99.9%
(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))))
53.2%
(/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x)))
99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) x)))
46.7%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x (neg y)) x) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y)))
53.2%
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)))
49.8%
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
47.0%
#s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x)))
Compiler

Compiled 184 to 137 computations (25.5% saved)

simplify203.0ms (3%)

Memory
-11.4MiB live, 184.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (neg.f64 x) y)
cost-diff0
(*.f64 (*.f64 (neg.f64 x) y) y)
cost-diff0
#s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x))
cost-diff0
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) x)
cost-diff0
(/.f64 #s(literal -1 binary64) (*.f64 x x))
cost-diff0
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y)
cost-diff0
#s(approx (/ 1 (+ (* (* x (neg y)) x) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x (neg y)) x) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y)))
cost-diff0
(/.f64 #s(literal -1 binary64) y)
cost-diff0
(/.f64 (/.f64 #s(literal -1 binary64) y) x)
cost-diff0
#s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x))
cost-diff0
(/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x)))
cost-diff-384
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) x))
cost-diff0
(fma.f64 y x #s(literal -1 binary64))
cost-diff0
(*.f64 (fma.f64 y x #s(literal -1 binary64)) x)
cost-diff1664
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) x)))
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))))
Rules
14 192×lower-fma.f32
14 188×lower-fma.f64
2 524×lower-+.f64
2 524×lower-+.f32
1 916×lower-*.f32
Iterations

Useful iterations: 13 (0.0ms)

IterNodesCost
038235
058233
1102221
2190221
3344215
4501215
51111215
62200215
73304215
84593215
95493215
106291215
116798215
127111215
137175214
08221214
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.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
(/.f64 #s(literal 1 binary64) (/.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 (fma.f64 y x #s(literal -1 binary64)) x))
#s(literal -1 binary64)
(*.f64 (fma.f64 y x #s(literal -1 binary64)) x)
(fma.f64 y x #s(literal -1 binary64))
y
x
(/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x)))
x
#s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x))
(/.f64 (/.f64 #s(literal -1 binary64) y) x)
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x (neg y)) x) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y)))
#s(literal 1 binary64)
#s(approx (/ 1 (+ (* (* x (neg y)) x) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y)
(/.f64 #s(literal -1 binary64) (*.f64 x x))
#s(literal -1 binary64)
(*.f64 x x)
x
y
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) x) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) x)
#s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x))
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)
(*.f64 (*.f64 (neg.f64 x) y) y)
(*.f64 (neg.f64 x) y)
(neg.f64 x)
x
y
(fma.f64 y x #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
(/.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)))
#s(literal -1 binary64)
(fma.f64 y x #s(literal -1 binary64))
y
(/.f64 #s(literal 1 binary64) (/.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)
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) x))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) x)
#s(literal -1 binary64)
(*.f64 (fma.f64 y x #s(literal -1 binary64)) x)
(fma.f64 y x #s(literal -1 binary64))
y
x
(/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x)))
x
#s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x))
(/.f64 (/.f64 #s(literal -1 binary64) y) x)
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x (neg y)) x) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y)))
#s(literal 1 binary64)
#s(approx (/ 1 (+ (* (* x (neg y)) x) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y)
(/.f64 #s(literal -1 binary64) (*.f64 x x))
#s(literal -1 binary64)
(*.f64 x x)
x
y
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) x) (fma.f64 y x #s(literal 1 binary64)))
(/.f64 #s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (-.f64 y (/.f64 #s(literal -1 binary64) x)))
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) x)
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) x)
#s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x))
#s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)
(neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(*.f64 (*.f64 (neg.f64 x) y) y)
(*.f64 (*.f64 (neg.f64 y) x) y)
(*.f64 (neg.f64 x) y)
(*.f64 (neg.f64 y) x)
(neg.f64 x)
x
y
(fma.f64 y x #s(literal 1 binary64))
#s(literal 1 binary64)

localize133.0ms (1.9%)

Memory
26.7MiB live, 180.7MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.2731808044407217
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) x)
accuracy2.8767008214083805
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)
accuracy14.811254521209568
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) x) (fma.f64 y x #s(literal 1 binary64)))
accuracy30.388567970392113
#s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x))
accuracy0.1953125
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x (neg y)) x) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y)))
accuracy0.41931216780819414
(/.f64 #s(literal -1 binary64) (*.f64 x x))
accuracy7.518532722963564
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y)
accuracy30.40038984754187
#s(approx (/ 1 (+ (* (* x (neg y)) x) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y))
accuracy0
(/.f64 #s(literal -1 binary64) y)
accuracy0.0625
(/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x)))
accuracy0.234375
(/.f64 (/.f64 #s(literal -1 binary64) y) x)
accuracy30.56242622099909
#s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x))
accuracy0
(fma.f64 y x #s(literal -1 binary64))
accuracy0.06640625
(*.f64 (fma.f64 y x #s(literal -1 binary64)) x)
accuracy0.1953125
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) x)))
accuracy0.3072905812550536
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) x))
accuracy0
(fma.f64 y x #s(literal -1 binary64))
accuracy0.0625
(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))))
accuracy0.1909046580196444
(/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))
Samples
92.0ms256×0valid
Compiler

Compiled 191 to 36 computations (81.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 75.0ms
ival-div: 45.0ms (60.2% of total)
ival-mult: 17.0ms (22.7% of total)
ival-add: 6.0ms (8% of total)
ival-pow2: 3.0ms (4% of total)
ival-neg: 2.0ms (2.7% of total)
ival-sub: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series96.0ms (1.4%)

Memory
-28.0MiB live, 88.7MiB allocated
Counts
20 → 456
Calls
Call 1
Inputs
#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>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) x))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 y x #s(literal -1 binary64)) x) (patch (*.f64 (fma.f64 y x #s(literal -1 binary64)) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) x)) (patch (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) x)) #<representation binary64>) () ())
#s(alt (/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x))) (patch (/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x))) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) (patch #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal -1 binary64) y) x) (patch (/.f64 (/.f64 #s(literal -1 binary64) y) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x (neg y)) x) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x (neg y)) x) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y))) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (+ (* (* x (neg y)) x) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y)) (patch #s(approx (/ 1 (+ (* (* x (neg y)) x) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y) (patch (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal -1 binary64) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) x) (patch (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) x) #<representation binary64>) () ())
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#s(alt (*.f64 (*.f64 (neg.f64 x) y) y) (patch (*.f64 (*.f64 (neg.f64 x) y) y) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 x) y) (patch (*.f64 (neg.f64 x) y) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) x) (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) x) (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())
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Outputs
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#s(alt (/ 1 x) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) x)) (patch (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) x)) #<representation binary64>) () ())) ())
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#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x))) (patch (/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) (patch #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x y)) (taylor 0 y) (#s(alt #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) (patch #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) #<representation binary64>) () ())) ())
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#s(alt (/ -1 (* x y)) (taylor 0 y) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) y) x) (patch (/.f64 (/.f64 #s(literal -1 binary64) y) x) #<representation binary64>) () ())) ())
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#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x (neg y)) x) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x (neg y)) x) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x (neg y)) x) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x (neg y)) x) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y))) #<representation binary64>) () ())) ())
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#s(alt (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (+ (/ 1 (* (pow x 2) (pow y 4))) (/ 1 (pow y 2)))) x)) (/ 1 y)) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* (* x (neg y)) x) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y)) (patch #s(approx (/ 1 (+ (* (* x (neg y)) x) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y) (patch (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y) (patch (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y) (patch (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y) (patch (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal -1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal -1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal -1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal -1 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) x) (patch (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) x) (patch (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) x) (patch (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) x) (patch (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) (patch #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) (taylor -inf x) (#s(alt #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) (patch #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) (taylor -inf x) (#s(alt #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) (patch #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2))) (taylor -inf x) (#s(alt #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) (patch #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) y) y) (patch (*.f64 (*.f64 (neg.f64 x) y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) y) y) (patch (*.f64 (*.f64 (neg.f64 x) y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) y) y) (patch (*.f64 (*.f64 (neg.f64 x) y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 x) y) y) (patch (*.f64 (*.f64 (neg.f64 x) y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) y) (patch (*.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) y) (patch (*.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) y) (patch (*.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) y) (patch (*.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) x) (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) x) (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) x) (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) x) (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) x) (fma.f64 y x #s(literal 1 binary64))) (patch (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) x) (fma.f64 y x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x) (patch (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x) (patch (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x) (patch (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x) (patch (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
8.0ms
x
@-inf
((/ x (/ -1 (+ (* y x) -1))) (/ -1 (+ (* y x) -1)) (+ (* y x) -1) (/ 1 (/ -1 (* (+ (* y x) -1) x))) (* (+ (* y x) -1) x) (/ -1 (* (+ (* y x) -1) x)) (/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (/ (/ -1 y) x) (/ -1 y) (/ 1 (/ 1 (+ (* (* x (neg y)) x) x))) (/ 1 (+ (* (* x (neg y)) x) x)) (/ (/ -1 (* x x)) y) (/ -1 (* x x)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (* (* (neg x) y) y) (* (neg x) y) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (* (* (neg x) y) y) x))
7.0ms
y
@0
((/ x (/ -1 (+ (* y x) -1))) (/ -1 (+ (* y x) -1)) (+ (* y x) -1) (/ 1 (/ -1 (* (+ (* y x) -1) x))) (* (+ (* y x) -1) x) (/ -1 (* (+ (* y x) -1) x)) (/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (/ (/ -1 y) x) (/ -1 y) (/ 1 (/ 1 (+ (* (* x (neg y)) x) x))) (/ 1 (+ (* (* x (neg y)) x) x)) (/ (/ -1 (* x x)) y) (/ -1 (* x x)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (* (* (neg x) y) y) (* (neg x) y) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (* (* (neg x) y) y) x))
6.0ms
x
@inf
((/ x (/ -1 (+ (* y x) -1))) (/ -1 (+ (* y x) -1)) (+ (* y x) -1) (/ 1 (/ -1 (* (+ (* y x) -1) x))) (* (+ (* y x) -1) x) (/ -1 (* (+ (* y x) -1) x)) (/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (/ (/ -1 y) x) (/ -1 y) (/ 1 (/ 1 (+ (* (* x (neg y)) x) x))) (/ 1 (+ (* (* x (neg y)) x) x)) (/ (/ -1 (* x x)) y) (/ -1 (* x x)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (* (* (neg x) y) y) (* (neg x) y) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (* (* (neg x) y) y) x))
3.0ms
y
@inf
((/ x (/ -1 (+ (* y x) -1))) (/ -1 (+ (* y x) -1)) (+ (* y x) -1) (/ 1 (/ -1 (* (+ (* y x) -1) x))) (* (+ (* y x) -1) x) (/ -1 (* (+ (* y x) -1) x)) (/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (/ (/ -1 y) x) (/ -1 y) (/ 1 (/ 1 (+ (* (* x (neg y)) x) x))) (/ 1 (+ (* (* x (neg y)) x) x)) (/ (/ -1 (* x x)) y) (/ -1 (* x x)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (* (* (neg x) y) y) (* (neg x) y) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (* (* (neg x) y) y) x))
3.0ms
x
@0
((/ x (/ -1 (+ (* y x) -1))) (/ -1 (+ (* y x) -1)) (+ (* y x) -1) (/ 1 (/ -1 (* (+ (* y x) -1) x))) (* (+ (* y x) -1) x) (/ -1 (* (+ (* y x) -1) x)) (/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (/ (/ -1 y) x) (/ -1 y) (/ 1 (/ 1 (+ (* (* x (neg y)) x) x))) (/ 1 (+ (* (* x (neg y)) x) x)) (/ (/ -1 (* x x)) y) (/ -1 (* x x)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (* (* (neg x) y) y) (* (neg x) y) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (* (* (neg x) y) y) x))

simplify201.0ms (2.9%)

Memory
21.5MiB live, 249.1MiB allocated
Algorithm
egg-herbie
Rules
10 462×lower-fma.f64
10 462×lower-fma.f32
4 548×lower-*.f64
4 548×lower-*.f32
2 310×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02033922
15703730
214403684
352423682
081483600
Stop Event
iter limit
node limit
Counts
456 → 444
Calls
Call 1
Inputs
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
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)
(- (* x y) 1)
(- (* x y) 1)
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(* -1 x)
(+ (* -1 x) (* (pow x 2) y))
(+ (* -1 x) (* (pow x 2) y))
(+ (* -1 x) (* (pow x 2) y))
(/ 1 x)
(+ y (/ 1 x))
(+ (* y (+ 1 (* x y))) (/ 1 x))
(+ (* y (+ 1 (* y (- (* (pow x 2) y) (* -1 x))))) (/ 1 x))
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
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 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
x
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 2) y)))
(/ 1 x)
(+ y (/ 1 x))
(+ (* y (+ 1 (* x y))) (/ 1 x))
(+ (* y (+ 1 (* y (- (* (pow x 2) y) (* -1 x))))) (/ 1 x))
(/ -1 (* (pow x 2) y))
(/ -1 (* (pow x 2) y))
(/ -1 (* (pow x 2) y))
(/ -1 (* (pow x 2) y))
x
(+ x (* -1 (* (pow x 3) (pow y 2))))
(+ x (* -1 (* (pow x 3) (pow y 2))))
(+ x (* -1 (* (pow x 3) (pow y 2))))
1
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -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) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -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 (* 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)
(* x y)
(* y (- x (/ 1 y)))
(* y (- x (/ 1 y)))
(* y (- x (/ 1 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)))
(* (pow x 2) y)
(* y (+ (* -1 (/ x y)) (pow x 2)))
(* y (+ (* -1 (/ x y)) (pow x 2)))
(* y (+ (* -1 (/ x y)) (pow x 2)))
(/ -1 (* (pow x 2) y))
(* -1 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y))
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 5) y)) (/ 1 (pow x 4))) (pow y 2))) (+ (/ 1 (* (pow x 3) y)) (/ 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 (* 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 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 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 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y))
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 5) y)) (/ 1 (pow x 4))) (pow y 2))) (+ (/ 1 (* (pow x 3) 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 3) (pow y 2)))
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x 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) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* -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 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))
(* x y)
(* -1 (* y (+ (* -1 x) (/ 1 y))))
(* -1 (* y (+ (* -1 x) (/ 1 y))))
(* -1 (* y (+ (* -1 x) (/ 1 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))))
(* (pow x 2) y)
(* -1 (* y (+ (* -1 (pow x 2)) (/ x y))))
(* -1 (* y (+ (* -1 (pow x 2)) (/ x y))))
(* -1 (* y (+ (* -1 (pow x 2)) (/ x y))))
(/ -1 (* (pow x 2) y))
(* -1 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y))
(* -1 (/ (+ (/ 1 (* (pow x 3) y)) (+ (/ 1 (* (pow x 4) (pow y 2))) (/ 1 (pow x 2)))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* (pow x 5) y)) (/ 1 (pow x 4))) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) 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 y))
(* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y))
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(/ -1 y)
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(/ -1 (* (pow x 2) y))
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(/ 1 x)
(/ (+ 1 (* x y)) x)
(/ (+ 1 (* x (- (* x (pow y 2)) (* -1 y)))) x)
(/ (+ 1 (* x (- (* x (- (* x (pow y 3)) (* -1 (pow y 2)))) (* -1 y)))) x)
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(* x (+ 1 (* -1 (* x y))))
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(/ 1 x)
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(/ (+ 1 (* x (- (* x (pow y 2)) (* -1 y)))) x)
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1
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(/ (- (* -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)
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Outputs
x
(+ x (* -1 (* (pow x 2) y)))
(fma.f64 (*.f64 (neg.f64 x) y) x x)
(+ x (* -1 (* (pow x 2) y)))
(fma.f64 (*.f64 (neg.f64 x) y) x x)
(+ x (* -1 (* (pow x 2) y)))
(fma.f64 (*.f64 (neg.f64 x) y) x x)
1
#s(literal 1 binary64)
(+ 1 (* x y))
(fma.f64 y x #s(literal 1 binary64))
(+ 1 (* y (- (* (pow x 2) y) (* -1 x))))
(fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) y #s(literal 1 binary64))
(+ 1 (* y (- (* y (- (* (pow x 3) y) (* -1 (pow x 2)))) (* -1 x))))
(fma.f64 (fma.f64 (*.f64 x (*.f64 (fma.f64 y x #s(literal 1 binary64)) x)) y x) y #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
(+ x (* -1 (* (pow x 2) y)))
(fma.f64 (*.f64 (neg.f64 x) y) x x)
(+ x (* -1 (* (pow x 2) y)))
(fma.f64 (*.f64 (neg.f64 x) y) x x)
(+ x (* -1 (* (pow x 2) y)))
(fma.f64 (*.f64 (neg.f64 x) y) x x)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (* (pow x 2) y))
(*.f64 (fma.f64 y x #s(literal -1 binary64)) x)
(+ (* -1 x) (* (pow x 2) y))
(*.f64 (fma.f64 y x #s(literal -1 binary64)) x)
(+ (* -1 x) (* (pow x 2) y))
(*.f64 (fma.f64 y x #s(literal -1 binary64)) x)
(/ 1 x)
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(+ y (/ 1 x))
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(+ (* y (+ 1 (* x y))) (/ 1 x))
(fma.f64 (fma.f64 y x #s(literal 1 binary64)) y (/.f64 #s(literal 1 binary64) x))
(+ (* y (+ 1 (* y (- (* (pow x 2) y) (* -1 x))))) (/ 1 x))
(fma.f64 (fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) y #s(literal 1 binary64)) y (/.f64 #s(literal 1 binary64) x))
x
(+ x (* -1 (* (pow x 2) y)))
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(fma.f64 (*.f64 (neg.f64 x) y) x x)
(+ x (* -1 (* (pow x 2) y)))
(fma.f64 (*.f64 (neg.f64 x) y) x x)
1
#s(literal 1 binary64)
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(fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) y #s(literal 1 binary64))
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(fma.f64 (fma.f64 (*.f64 x (*.f64 (fma.f64 y x #s(literal 1 binary64)) x)) y x) y #s(literal 1 binary64))
(/ -1 (* x y))
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(/ -1 y)
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(/ -1 y)
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x
(+ x (* -1 (* (pow x 2) y)))
(fma.f64 (*.f64 (neg.f64 x) y) x x)
(+ x (* -1 (* (pow x 2) y)))
(fma.f64 (*.f64 (neg.f64 x) y) x x)
(+ x (* -1 (* (pow x 2) y)))
(fma.f64 (*.f64 (neg.f64 x) y) x x)
(/ 1 x)
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(+ y (/ 1 x))
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(+ (* y (+ 1 (* x y))) (/ 1 x))
(fma.f64 (fma.f64 y x #s(literal 1 binary64)) y (/.f64 #s(literal 1 binary64) x))
(+ (* y (+ 1 (* y (- (* (pow x 2) y) (* -1 x))))) (/ 1 x))
(fma.f64 (fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) y #s(literal 1 binary64)) y (/.f64 #s(literal 1 binary64) x))
(/ -1 (* (pow x 2) y))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y)
(/ -1 (* (pow x 2) y))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y)
(/ -1 (* (pow x 2) y))
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(/ -1 (* (pow x 2) y))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y)
x
(+ x (* -1 (* (pow x 3) (pow y 2))))
(fma.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal 3 binary64)) x)
(+ x (* -1 (* (pow x 3) (pow y 2))))
(fma.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal 3 binary64)) x)
(+ x (* -1 (* (pow x 3) (pow y 2))))
(fma.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal 3 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64))
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) 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)
x
(+ x (* -1 (* (pow x 2) y)))
(fma.f64 (*.f64 (neg.f64 x) y) x x)
(+ x (* -1 (* (pow x 2) y)))
(fma.f64 (*.f64 (neg.f64 x) y) x x)
(+ x (* -1 (* (pow x 2) y)))
(fma.f64 (*.f64 (neg.f64 x) y) x x)
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 y) (*.f64 x x))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(fma.f64 (*.f64 (neg.f64 x) y) x x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(fma.f64 (*.f64 (neg.f64 x) y) x x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(fma.f64 (*.f64 (neg.f64 x) y) x x)
(/ -1 (* x y))
(/.f64 (/.f64 #s(literal -1 binary64) x) y)
(* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y) (/.f64 #s(literal 1 binary64) x)) y)
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y)
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) y)) y)) y)
(/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) (pow y 2))) (+ (/ 1 x) (/ 1 (* (pow x 2) y)))) y)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) y))) y)) y) (/.f64 #s(literal 1 binary64) x)) y)
(* x y)
(*.f64 y x)
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(* y (- x (/ 1 y)))
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(fma.f64 (*.f64 (neg.f64 x) y) x x)
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(* (pow x 2) y)
(*.f64 y (*.f64 x x))
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(*.f64 (fma.f64 y x #s(literal -1 binary64)) x)
(* y (+ (* -1 (/ x y)) (pow x 2)))
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(* y (+ (* -1 (/ x y)) (pow x 2)))
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(/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) x) (/.f64 #s(literal 1 binary64) y)) (*.f64 x x))
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) (pow x 2))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) (/.f64 (/.f64 #s(literal -1 binary64) y) y)) x)) x) x)
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (+ (/ 1 (* (pow x 2) (pow y 4))) (/ 1 (pow y 2)))) x)) (/ 1 y)) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x)) x) (/.f64 (/.f64 #s(literal -1 binary64) y) y)) (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x))) x)) (*.f64 x x))
(/ -1 (* (pow x 2) y))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y)
(/ -1 (* (pow x 2) y))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y)
(/ -1 (* (pow x 2) y))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y)
(/ -1 (* (pow x 2) y))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y)
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(* -1 (* (pow x 3) (pow y 2)))
(*.f64 (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) y) y)
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2)))))
(fma.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal 3 binary64)) x)
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2)))))
(fma.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal 3 binary64)) x)
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2)))))
(fma.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal 3 binary64)) x)
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(fma.f64 (*.f64 (neg.f64 y) y) (*.f64 x x) #s(literal 1 binary64))
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) 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 (* (pow x 2) y))
(*.f64 (neg.f64 y) (*.f64 x x))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(fma.f64 (*.f64 (neg.f64 x) y) x x)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(fma.f64 (*.f64 (neg.f64 x) y) x x)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(fma.f64 (*.f64 (neg.f64 x) y) x x)
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))

rewrite178.0ms (2.6%)

Memory
20.8MiB live, 295.9MiB allocated
Rules
6 904×lower-fma.f32
6 900×lower-fma.f64
3 552×lower-*.f32
3 540×lower-*.f64
2 974×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
038205
058203
1242181
21477176
09097176
Stop Event
iter limit
node limit
iter limit
Counts
20 → 1 149
Calls
Call 1
Inputs
(/.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))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) x)))
(*.f64 (fma.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 #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x)))
#s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x))
(/.f64 (/.f64 #s(literal -1 binary64) y) x)
(/.f64 #s(literal -1 binary64) y)
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x (neg y)) x) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y)))
#s(approx (/ 1 (+ (* (* x (neg y)) x) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y)
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) x)
#s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x))
(*.f64 (*.f64 (neg.f64 x) y) y)
(*.f64 (neg.f64 x) y)
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) x) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)
Outputs
(*.f64 (/.f64 (neg.f64 x) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64))) (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (neg.f64 x) (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 x (pow.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))))
(*.f64 (/.f64 x (pow.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 x (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (neg.f64 x) (fma.f64 y x #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 x (fma.f64 y x #s(literal -1 binary64))))
(*.f64 (/.f64 x (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (/.f64 x (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y) (*.f64 x (+.f64 x (*.f64 (*.f64 y x) x)))) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y) (*.f64 x (+.f64 x (*.f64 (*.f64 y x) x))))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 x (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
(*.f64 (/.f64 x (pow.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)))) (pow.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 x) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (fma.f64 y x #s(literal -1 binary64)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y) (*.f64 x (+.f64 x (*.f64 (*.f64 y x) x)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (pow.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)) x) (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (neg.f64 x) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))))
(*.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (neg.f64 x) x) (pow.f64 (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (*.f64 y x) x))))
(*.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) x))
(*.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y) (*.f64 x (+.f64 x (*.f64 (*.f64 y x) x)))))))
(*.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 (*.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) (pow.f64 (*.f64 (fma.f64 y x #s(literal -1 binary64)) x) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 x x) (*.f64 y (*.f64 (fma.f64 y x #s(literal 1 binary64)) x))))))
(*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y) (*.f64 x (+.f64 x (*.f64 (*.f64 y x) x)))) #s(literal -1 binary64)))
(*.f64 (neg.f64 x) (fma.f64 y x #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
(*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (/.f64 (*.f64 (fma.f64 y x #s(literal -1 binary64)) x) (*.f64 (fma.f64 y x #s(literal -1 binary64)) x)))
(*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) #s(literal 1 binary64))
(*.f64 (fma.f64 y x #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 y x #s(literal 1 binary64)) x)
(*.f64 (*.f64 (fma.f64 y x #s(literal -1 binary64)) x) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 y x #s(literal -1 binary64)) (neg.f64 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 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) x) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) x) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 y x #s(literal -1 binary64)) x))
(/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y) (*.f64 x (+.f64 x (*.f64 (*.f64 y x) x)))))
(/.f64 (*.f64 (neg.f64 x) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (neg.f64 x) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 y x #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)) x)) (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x)) (fma.f64 y x #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (neg.f64 x) x)) (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y)))) (+.f64 x (*.f64 (*.f64 y x) x)))
(/.f64 (*.f64 (fma.f64 y x #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 (fma.f64 y x #s(literal -1 binary64)) (*.f64 (neg.f64 x) x)) x)
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) x)) (fma.f64 y x #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) x)) (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))))) (*.f64 (fma.f64 y x #s(literal -1 binary64)) x))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y) (*.f64 x (+.f64 x (*.f64 (*.f64 y x) x)))))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 y x #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 y x) (fma.f64 y x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 x (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 y x #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) x)) (fma.f64 y x #s(literal -1 binary64)))
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(fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) x) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 y x #s(literal 1 binary64)) (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) x) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)))))
(fma.f64 (*.f64 y x) (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 x)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 x)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)))))
(fma.f64 (fma.f64 y x #s(literal 1 binary64)) (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) x) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) x) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)))))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 x)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 y x) (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 x)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y x #s(literal -1 binary64))) (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) x) (fma.f64 y x #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) x) (fma.f64 y x #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (fma.f64 y x #s(literal 1 binary64)) x) #s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 y x) (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 x)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 x)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 x)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 (*.f64 y x) (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 x)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)))))
(+.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) x) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)))) (*.f64 (fma.f64 y x #s(literal 1 binary64)) (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) x) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)))))
(+.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) x) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)))) (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) x) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)))))
(+.f64 (*.f64 (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 x)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 y x)) (*.f64 (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 x)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 x)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 x)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 y x)))
(+.f64 (*.f64 (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) x) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) x) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 y x #s(literal 1 binary64))))
(+.f64 (*.f64 (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) x) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 y x #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) x) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(*.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 y) x) (neg.f64 y))) x)
(*.f64 (*.f64 (*.f64 (neg.f64 y) x) (neg.f64 y)) (neg.f64 x))
(*.f64 (*.f64 (*.f64 y y) x) (neg.f64 x))
(*.f64 (*.f64 (*.f64 y x) y) (neg.f64 x))
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))
(*.f64 (*.f64 (*.f64 y x) x) (neg.f64 y))
(*.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))
(*.f64 (*.f64 y y) (*.f64 (neg.f64 x) x))
(*.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x)
(*.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 y) x) (neg.f64 y)))
(*.f64 (neg.f64 x) (*.f64 (*.f64 y y) x))
(*.f64 (neg.f64 x) (*.f64 y (*.f64 y x)))
(*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))
(*.f64 (*.f64 y x) (*.f64 (neg.f64 y) x))
(*.f64 (*.f64 x x) (*.f64 (neg.f64 y) y))
(*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)
(*.f64 (*.f64 (neg.f64 y) x) (*.f64 y x))
(*.f64 (neg.f64 y) (*.f64 (*.f64 y x) x))
(*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(*.f64 y (*.f64 (*.f64 (neg.f64 y) x) x))
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(*.f64 x (neg.f64 (*.f64 (*.f64 (neg.f64 y) x) (neg.f64 y))))
(*.f64 x (*.f64 (*.f64 (neg.f64 y) x) y))
(/.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal -2 binary64)))
(/.f64 (*.f64 (*.f64 y x) x) (/.f64 #s(literal -1 binary64) y))
(/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(/.f64 (*.f64 y y) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 y x) (/.f64 (/.f64 #s(literal -1 binary64) y) x))
(/.f64 (*.f64 (*.f64 (neg.f64 y) x) x) (pow.f64 y #s(literal -1 binary64)))
(/.f64 y (/.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 y)))
(neg.f64 (*.f64 x (*.f64 x (*.f64 y y))))
(neg.f64 (*.f64 x (*.f64 (*.f64 y x) y)))
(neg.f64 (*.f64 (*.f64 y (*.f64 y x)) x))
(neg.f64 (*.f64 (*.f64 x (*.f64 y y)) x))
(neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (*.f64 y x)) (neg.f64 x)))
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 y y)) (neg.f64 x)))
(+.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))))

eval329.0ms (4.8%)

Memory
-8.0MiB live, 508.5MiB allocated
Compiler

Compiled 30 783 to 3 784 computations (87.7% saved)

prune231.0ms (3.4%)

Memory
-37.9MiB live, 479.3MiB allocated
Pruning

10 alts after pruning (5 fresh and 5 done)

PrunedKeptTotal
New1 72951 734
Fresh101
Picked415
Done145
Total1 735101 745
Accuracy
100.0%
Counts
1 745 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (*.f64 (neg.f64 y) x) x x)
99.7%
(/.f64 (fma.f64 y x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
33.2%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x)))) (*.f64 (neg.f64 #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x))) x)) (*.f64 (neg.f64 #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x))) (neg.f64 #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x)))))
53.2%
(/.f64 x (/.f64 #s(literal -1 binary64) #s(approx (+ (* y x) -1) (*.f64 y x))))
53.2%
(/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)))
53.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* y x) -1) (*.f64 y x)) x)))
46.7%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x (neg y)) x) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y)))
53.2%
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)))
49.8%
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
47.0%
#s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x)))
Compiler

Compiled 395 to 173 computations (56.2% saved)

regimes24.0ms (0.3%)

Memory
13.9MiB live, 51.1MiB allocated
Counts
23 → 1
Calls
Call 1
Inputs
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
#s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x)))
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (*.f64 (neg.f64 y) x) x 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))))
(/.f64 (fma.f64 y x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y) x x)
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* y x) -1) (*.f64 y x)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x #s(literal -1 binary64)) x)))
(/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)))
(/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (neg.f64 y)) x x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (* x (neg y)) x) x)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) y)))
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) x)) x) (fma.f64 y x #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x)))) (*.f64 (neg.f64 #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x))) x)) (*.f64 (neg.f64 #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x))) (neg.f64 #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 y (pow.f64 x #s(literal 3 binary64))) y) (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal 1 binary64))) (/.f64 x (fma.f64 x y #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) x) (fma.f64 x y #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 x (fma.f64 #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 (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))))))
Outputs
(fma.f64 (*.f64 (neg.f64 y) x) x x)
Calls

3 calls:

9.0ms
y
7.0ms
x
7.0ms
(*.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 9 to 10 computations (-11.1% saved)

regimes11.0ms (0.2%)

Memory
-21.6MiB live, 18.2MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
#s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x)))
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Outputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Calls

3 calls:

6.0ms
y
2.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
2.0ms
x
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes6.0ms (0.1%)

Memory
16.4MiB live, 16.4MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
#s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x)))
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)))
Outputs
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)))
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)))
Calls

3 calls:

2.0ms
x
2.0ms
y
2.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Results
AccuracySegmentsBranch
76.5%3x
81.6%3y
84.8%3(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes2.0ms (0%)

Memory
4.8MiB live, 4.8MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
#s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x)))
Outputs
#s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x)))
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
#s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x)))
Calls

1 calls:

2.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Results
AccuracySegmentsBranch
82.0%3(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes4.0ms (0.1%)

Memory
9.6MiB live, 9.6MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.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
y
1.0ms
x
Results
AccuracySegmentsBranch
49.8%1x
49.8%1y
49.8%1(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.891352615172613e+177
2.535389484679713e+201
0.0ms
-5.210191298701525e+68
-1.2284272598544895e+66
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.891352615172613e+177
2.535389484679713e+201
0.0ms
-5.210191298701525e+68
-1.2284272598544895e+66
Compiler

Compiled 10 to 11 computations (-10% saved)

simplify79.0ms (1.2%)

Memory
-28.7MiB live, 47.6MiB allocated
Algorithm
egg-herbie
Rules
24×*-commutative-binary64-*.f64
12×+-commutative-binary64-+.f64
12×sub-neg-binary64-neg.f64-+.f64--.f64
10×neg-sub0-binary64--.f64-neg.f64
10×neg-mul-1-binary64-*.f64-neg.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027133
148133
262133
375133
480133
581133
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (*.f64 (neg.f64 y) x) x 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 -500000000000000036265718190764617563079187204823260977759105077739520 binary64)) (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) (if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 10000000000000000524381184475062837195473800154429724610566137243318061834753718863820956830887857615988724636416932177829345401680187244151732297960592357271816907060120777654272 binary64)) (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)))))
(if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal -500000000000000036265718190764617563079187204823260977759105077739520 binary64)) #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) (if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 10000000000000000524381184475062837195473800154429724610566137243318061834753718863820956830887857615988724636416932177829345401680187244151732297960592357271816907060120777654272 binary64)) (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x)))))
(*.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 #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 -500000000000000036265718190764617563079187204823260977759105077739520 binary64)) (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))) (if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 10000000000000000524381184475062837195473800154429724610566137243318061834753718863820956830887857615988724636416932177829345401680187244151732297960592357271816907060120777654272 binary64)) (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)))))
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)) x) #s(literal -500000000000000036265718190764617563079187204823260977759105077739520 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 10000000000000000524381184475062837195473800154429724610566137243318061834753718863820956830887857615988724636416932177829345401680187244151732297960592357271816907060120777654272 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 -500000000000000036265718190764617563079187204823260977759105077739520 binary64)) #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x))) (if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 10000000000000000524381184475062837195473800154429724610566137243318061834753718863820956830887857615988724636416932177829345401680187244151732297960592357271816907060120777654272 binary64)) (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) #s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x)))))
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)) x) #s(literal -500000000000000036265718190764617563079187204823260977759105077739520 binary64)) #s(approx (* x (- 1 (* x y))) (*.f64 (*.f64 (neg.f64 x) x) y)) (if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)) x) #s(literal 10000000000000000524381184475062837195473800154429724610566137243318061834753718863820956830887857615988724636416932177829345401680187244151732297960592357271816907060120777654272 binary64)) (*.f64 #s(approx (- 1 (* x y)) #s(literal 1 binary64)) x) #s(approx (* x (- 1 (* x y))) (*.f64 (*.f64 (neg.f64 x) x) y))))
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
(*.f64 #s(approx (- 1 (* x y)) #s(literal 1 binary64)) x)

soundness514.0ms (7.5%)

Memory
10.8MiB live, 360.2MiB allocated
Rules
21 824×lower-fma.f64
21 824×lower-fma.f32
4 738×lower-fma.f64
4 738×lower-fma.f32
4 354×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
0915
13115
219015
3149715
0960213
034368
1108332
2189332
3514332
42408332
55858332
08081332
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 129 to 56 computations (56.6% saved)

preprocess63.0ms (0.9%)

Memory
13.5MiB live, 64.4MiB allocated
Compiler

Compiled 202 to 62 computations (69.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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