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

Time bar (total: 7.0s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.4s (19.3%)

Memory
-15.3MiB live, 754.5MiB allocated
Samples
1.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 895.0ms
ival-mult: 526.0ms (58.7% of total)
ival-sub: 356.0ms (39.8% of total)
ival-true: 6.0ms (0.7% of total)
exact: 4.0ms (0.4% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain69.0ms (1%)

Memory
-16.6MiB live, 101.9MiB 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
24.0ms512×0valid
Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 9.0ms (73.6% of total)
ival-sub: 2.0ms (16.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess37.0ms (0.5%)

Memory
12.5MiB live, 48.6MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×iter limit
1×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
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.7MiB live, 1.7MiB 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
19.4MiB live, 19.4MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×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

localize46.0ms (0.7%)

Memory
-3.2MiB live, 34.3MiB 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
42.0ms256×0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-mult: 33.0ms (96.2% of total)
ival-sub: 1.0ms (2.9% 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
9.1MiB live, 9.1MiB 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
@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))

simplify117.0ms (1.7%)

Memory
-0.8MiB live, 144.5MiB allocated
Algorithm
1×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
1×iter limit
1×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)

rewrite303.0ms (4.3%)

Memory
4.4MiB live, 331.4MiB 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
1×iter limit
1×node limit
1×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)))
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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 (neg.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (-.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 (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))))
(+.f64 (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 (neg.f64 y) #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 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)) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 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)) (*.f64 (*.f64 (neg.f64 y) x) (/.f64 (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)))))
(+.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 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 (*.f64 y x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 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)) (neg.f64 (/.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 (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))

eval117.0ms (1.7%)

Memory
3.4MiB live, 196.3MiB allocated
Compiler

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

prune92.0ms (1.3%)

Memory
-12.6MiB live, 229.1MiB allocated
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New6759684
Fresh000
Picked101
Done000
Total6769685
Accuracy
100.0%
Counts
685 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(fma.f64 (*.f64 (neg.f64 y) x) x x)
▶75.3%
(/.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)))
79.0%
(*.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))))
63.9%
(*.f64 x (/.f64 (-.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))))
55.0%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y x) #s(literal 1/2 binary64)))))
▶69.9%
(*.f64 x (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 y y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))))
▶49.2%
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)))
▶54.8%
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
44.7%
#s(approx (* x (- 1 (* x y))) (*.f64 (neg.f64 y) (*.f64 x x)))
Compiler

Compiled 218 to 150 computations (31.2% saved)

simplify245.0ms (3.5%)

Memory
2.3MiB live, 196.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))
cost-diff0
(*.f64 x (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 y y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))))
cost-diff576
(*.f64 (neg.f64 (*.f64 (*.f64 y y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
cost-diff8128
(+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 y y) x)) (/.f64 x (fma.f64 y x #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 (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
#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
12 094×lower-fma.f32
12 090×lower-fma.f64
2 610×lower-*.f32
2 592×lower-*.f64
1 918×lower-+.f32
Iterations

Useful iterations: 9 (0.0ms)

IterNodesCost
028198
048176
196171
2203166
3525166
41258166
51880166
62898159
73686159
84805159
95711158
107249158
08301158
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 (neg.f64 y) x) x x)
(*.f64 (neg.f64 y) x)
(neg.f64 y)
y
x
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
x
#s(approx (- 1 (* x y)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)))
x
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))
(*.f64 (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))
(*.f64 x (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 y y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))))
x
(+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 y y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))))
(pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 y x #s(literal 1 binary64))
y
#s(literal 1 binary64)
#s(literal -1 binary64)
(*.f64 (neg.f64 (*.f64 (*.f64 y y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
(neg.f64 (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 y y) x)
(*.f64 y y)
(/.f64 x (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)
(*.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 (-.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 x (neg.f64 y) #s(literal 1 binary64)) x)
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x)
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 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)
(fma.f64 y x #s(literal 1 binary64))
(fma.f64 x y #s(literal 1 binary64))
(*.f64 x (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 y y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))))
(*.f64 (fma.f64 x (neg.f64 y) #s(literal 1 binary64)) x)
x
(+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 y y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))))
(fma.f64 x (neg.f64 y) #s(literal 1 binary64))
(pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 y x #s(literal 1 binary64))
(fma.f64 x y #s(literal 1 binary64))
y
#s(literal 1 binary64)
#s(literal -1 binary64)
(*.f64 (neg.f64 (*.f64 (*.f64 y y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
(*.f64 x (-.f64 (/.f64 y (fma.f64 x y #s(literal 1 binary64))) y))
(neg.f64 (*.f64 (*.f64 y y) x))
(*.f64 (*.f64 x (neg.f64 y)) y)
(*.f64 (*.f64 y y) x)
(*.f64 y y)
(/.f64 x (fma.f64 y x #s(literal 1 binary64)))
(/.f64 x (fma.f64 x y #s(literal 1 binary64)))

localize75.0ms (1.1%)

Memory
-18.2MiB live, 111.5MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.15375260577701627
(pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))
accuracy4.988624577328817
(*.f64 (*.f64 y y) x)
accuracy8.716172620813987
(/.f64 x (fma.f64 y x #s(literal 1 binary64)))
accuracy10.31379563749857
(*.f64 (neg.f64 (*.f64 (*.f64 y y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
accuracy0
(*.f64 y x)
accuracy0.19597626953688402
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
accuracy0.26763204162610676
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x)
accuracy14.633768581072307
(/.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
(*.f64 (neg.f64 y) x)
accuracy0
(neg.f64 y)
accuracy0.06640625
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)))
accuracy33.15313371597921
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))
accuracy0.06640625
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
accuracy29.115100060078973
#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
56.0ms256×0valid
Compiler

Compiled 197 to 28 computations (85.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-mult: 20.0ms (53.4% of total)
ival-div: 3.0ms (8% of total)
ival-add: 3.0ms (8% of total)
ival-pow: 3.0ms (8% of total)
ival-sub: 2.0ms (5.3% of total)
ival-neg: 2.0ms (5.3% of total)
ival-pow2: 2.0ms (5.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series43.0ms (0.6%)

Memory
9.6MiB live, 86.1MiB allocated
Counts
18 → 420
Calls
Call 1
Inputs
#s(alt (fma.f64 (*.f64 (neg.f64 y) x) x x) (patch (fma.f64 (*.f64 (neg.f64 y) x) x x) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) (patch (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* x y)) #s(literal 1 binary64)) (patch #s(approx (- 1 (* x y)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 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 (-.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 (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 y y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))) (patch (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 y y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 (*.f64 (*.f64 y y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 (neg.f64 (*.f64 (*.f64 y y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 x (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 y y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))))) (patch (*.f64 x (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 y y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))))) #<representation binary64>) () ())
#s(alt (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 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>) () ())
#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<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>) () ())) ())
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#s(alt (* -1 (* x (- y (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 y y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))) (patch (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 y y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- y (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 y y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))) (patch (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 y y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- y (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 y y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))) (patch (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 y y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 (*.f64 (*.f64 y y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 (neg.f64 (*.f64 (*.f64 y y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- y (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 (*.f64 (*.f64 y y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 (neg.f64 (*.f64 (*.f64 y y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (* -1 (/ (- 1 (/ 1 (* x y))) x))))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 (*.f64 (*.f64 y y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 (neg.f64 (*.f64 (*.f64 y y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ y (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x))) x))))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 (*.f64 (*.f64 y y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) (patch (*.f64 (neg.f64 (*.f64 (*.f64 y y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 x (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 y y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))))) (patch (*.f64 x (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 y y) x)) (/.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 x (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 y y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))))) (patch (*.f64 x (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 y y) x)) (/.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 x (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 y y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))))) (patch (*.f64 x (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 y y) x)) (/.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 x (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 y y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))))) (patch (*.f64 x (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 y y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x)) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x)) (taylor -inf x) (#s(alt (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
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#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>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 y y) x) (patch (*.f64 (*.f64 y y) x) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
9.0ms
x
@0
((+ (* (* (neg y) x) x) x) (* (neg y) x) (neg y) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (- 1 (* x y))) (- 1 (* x 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) (+ (pow (+ (* y x) 1) -1) (* (neg (* (* y y) x)) (/ x (+ (* y x) 1)))) (* (neg (* (* y y) x)) (/ x (+ (* y x) 1))) (* x (+ (pow (+ (* y x) 1) -1) (* (neg (* (* y y) x)) (/ x (+ (* y x) 1))))) (pow (+ (* y x) 1) -1) (* y x) (/ x (+ (* y x) 1)) (* (* y y) x))
5.0ms
y
@inf
((+ (* (* (neg y) x) x) x) (* (neg y) x) (neg y) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (- 1 (* x y))) (- 1 (* x 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) (+ (pow (+ (* y x) 1) -1) (* (neg (* (* y y) x)) (/ x (+ (* y x) 1)))) (* (neg (* (* y y) x)) (/ x (+ (* y x) 1))) (* x (+ (pow (+ (* y x) 1) -1) (* (neg (* (* y y) x)) (/ x (+ (* y x) 1))))) (pow (+ (* y x) 1) -1) (* y x) (/ x (+ (* y x) 1)) (* (* y y) x))
4.0ms
x
@inf
((+ (* (* (neg y) x) x) x) (* (neg y) x) (neg y) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (- 1 (* x y))) (- 1 (* x 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) (+ (pow (+ (* y x) 1) -1) (* (neg (* (* y y) x)) (/ x (+ (* y x) 1)))) (* (neg (* (* y y) x)) (/ x (+ (* y x) 1))) (* x (+ (pow (+ (* y x) 1) -1) (* (neg (* (* y y) x)) (/ x (+ (* y x) 1))))) (pow (+ (* y x) 1) -1) (* y x) (/ x (+ (* y x) 1)) (* (* y y) x))
4.0ms
x
@-inf
((+ (* (* (neg y) x) x) x) (* (neg y) x) (neg y) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (- 1 (* x y))) (- 1 (* x 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) (+ (pow (+ (* y x) 1) -1) (* (neg (* (* y y) x)) (/ x (+ (* y x) 1)))) (* (neg (* (* y y) x)) (/ x (+ (* y x) 1))) (* x (+ (pow (+ (* y x) 1) -1) (* (neg (* (* y y) x)) (/ x (+ (* y x) 1))))) (pow (+ (* y x) 1) -1) (* y x) (/ x (+ (* y x) 1)) (* (* y y) x))
4.0ms
y
@0
((+ (* (* (neg y) x) x) x) (* (neg y) x) (neg y) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (- 1 (* x y))) (- 1 (* x 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) (+ (pow (+ (* y x) 1) -1) (* (neg (* (* y y) x)) (/ x (+ (* y x) 1)))) (* (neg (* (* y y) x)) (/ x (+ (* y x) 1))) (* x (+ (pow (+ (* y x) 1) -1) (* (neg (* (* y y) x)) (/ x (+ (* y x) 1))))) (pow (+ (* y x) 1) -1) (* y x) (/ x (+ (* y x) 1)) (* (* y y) x))

simplify275.0ms (3.9%)

Memory
11.7MiB live, 209.3MiB allocated
Algorithm
1×egg-herbie
Rules
11 084×lower-fma.f64
11 084×lower-fma.f32
3 474×lower-*.f64
3 474×lower-*.f32
2 796×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02683169
18722912
223242834
373122834
082332814
Stop Event
1×iter limit
1×node limit
Counts
420 → 406
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
(+ 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)))
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))
1
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow y 2) (+ (* -1 (pow x 2)) (* (pow x 3) y)))
(* (pow y 2) (+ (* -1 (pow x 2)) (* y (+ (* -1 (* (pow x 4) y)) (pow x 3)))))
(* (pow y 2) (+ (* -1 (pow x 2)) (* y (+ (* y (+ (* -1 (pow x 4)) (* (pow x 5) y))) (pow x 3)))))
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 (* y (- (* (pow x 2) y) x)))
(+ 1 (* y (- (* y (- (* -1 (* (pow x 3) y)) (* -1 (pow x 2)))) 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))))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (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 (* 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 (* 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 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 (* x y))
(* y (+ (* -1 x) (/ 1 y)))
(* y (+ (* -1 x) (/ 1 y)))
(* y (+ (* -1 x) (/ 1 y)))
(* -1 (* x y))
(* y (+ (* -1 x) (/ 1 y)))
(* y (- (+ (* -1 x) (/ 1 y)) (/ 1 (* x (pow y 2)))))
(* y (- (+ (* -1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3))))) (/ 1 (* x (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 x) (/ 1 (* (pow x 2) y))) y)
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (/ 1 (* (pow x 2) y))) y)
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 4) (pow y 3))))) 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)
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (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 (* 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))))
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(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y))
(* x y)
(* x y)
(* x y)
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x
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(* -1 (* x y))
(* -1 (* x y))
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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)))
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(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
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(neg.f64 y)
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)))
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(+ x (* -1 (* (pow x 2) y)))
(-.f64 x (*.f64 y (*.f64 x x)))
1
#s(literal 1 binary64)
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x
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(fma.f64 (neg.f64 y) (*.f64 (pow.f64 x #s(literal 3 binary64)) y) x)
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1
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(+ 1 (* -1 (* x y)))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* -1 (* (pow x 2) (pow y 2)))
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(* (pow y 2) (+ (* -1 (pow x 2)) (* (pow x 3) y)))
(*.f64 (*.f64 (*.f64 y y) (fma.f64 y x #s(literal -1 binary64))) (*.f64 x x))
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(* (pow y 2) (+ (* -1 (pow x 2)) (* y (+ (* y (+ (* -1 (pow x 4)) (* (pow x 5) y))) (pow x 3)))))
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x
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(-.f64 x (*.f64 y (*.f64 x x)))
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(-.f64 x (*.f64 y (*.f64 x x)))
1
#s(literal 1 binary64)
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(+ 1 (* y (- (* y (- (* -1 (* (pow x 3) y)) (* -1 (pow x 2)))) x)))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 y) (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)) y (neg.f64 x)) y #s(literal 1 binary64))
(* x y)
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(+ x (* y (- (* y (- (* -1 (* (pow x 4) y)) (* -1 (pow x 3)))) (pow x 2))))
(fma.f64 (fma.f64 (neg.f64 x) x (*.f64 (fma.f64 (neg.f64 y) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) y)) y x)
(* x (pow y 2))
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(*.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)
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(*.f64 (neg.f64 y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
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(*.f64 (neg.f64 y) x)
(* -1 y)
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(*.f64 (neg.f64 y) (*.f64 x x))
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(-.f64 x (*.f64 y (*.f64 x x)))
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(-.f64 x (*.f64 y (*.f64 x x)))
(* -1 (* x y))
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(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* y (- (/ 1 y) x))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
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(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 y) (*.f64 x x))
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(-.f64 x (*.f64 y (*.f64 x x)))
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(* -1 (* (pow x 3) (pow y 2)))
(*.f64 (neg.f64 y) (*.f64 (pow.f64 x #s(literal 3 binary64)) y))
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(fma.f64 (neg.f64 y) (*.f64 (pow.f64 x #s(literal 3 binary64)) y) x)
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(fma.f64 (neg.f64 y) (*.f64 (pow.f64 x #s(literal 3 binary64)) y) x)
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(fma.f64 (neg.f64 y) (*.f64 (pow.f64 x #s(literal 3 binary64)) y) x)
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (neg.f64 y) (*.f64 y (*.f64 x x)))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x x)) y))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x x)) y))
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(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 x x)) y))
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(*.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)
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(* y (+ (* -1 x) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
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(-.f64 #s(literal 1 binary64) (*.f64 y x))
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(-.f64 #s(literal 1 binary64) (*.f64 y 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)) (/ 1 (* x (pow y 2)))))
(-.f64 #s(literal 1 binary64) (fma.f64 y x (/.f64 (/.f64 #s(literal 1 binary64) y) x)))
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(* -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 (/.f64 #s(literal 1 binary64) y) x)
(/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) (*.f64 y x))
(/ (- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (/ 1 (* x (pow y 2)))) x)
(/.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) y) x) #s(literal -1 binary64)) y) x)
(/ (- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4))))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) y) x) #s(literal -1 binary64)) y) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64)))) x)
(* 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) #s(literal 1 binary64)) y) x) #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 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) y) x) #s(literal -1 binary64)) y) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))))
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y 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)
(* -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 (* 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 3) (pow y 2)))
(*.f64 (neg.f64 y) (*.f64 (pow.f64 x #s(literal 3 binary64)) y))
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2)))))
(fma.f64 (neg.f64 y) (*.f64 (pow.f64 x #s(literal 3 binary64)) y) x)
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2)))))
(fma.f64 (neg.f64 y) (*.f64 (pow.f64 x #s(literal 3 binary64)) y) x)
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2)))))
(fma.f64 (neg.f64 y) (*.f64 (pow.f64 x #s(literal 3 binary64)) y) 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)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x (- y (/ 1 x))))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* -1 (* x (- y (/ 1 x))))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* -1 (* x (- y (/ 1 x))))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* x (- y (/ 1 x))))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* -1 (* x (+ y (* -1 (/ (- 1 (/ 1 (* x y))) x)))))
(-.f64 #s(literal 1 binary64) (fma.f64 y x (/.f64 (/.f64 #s(literal 1 binary64) y) x)))
(* -1 (* x (+ y (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x))) x)))))
(neg.f64 (fma.f64 y x (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) 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 (/.f64 #s(literal 1 binary64) y) x)
(* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) x)) (*.f64 y x))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x))
(/.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) y) x) #s(literal -1 binary64)) y) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #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))) (*.f64 x x)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) y)) x)
(* 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) #s(literal 1 binary64)) y) x) #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 #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))) (*.f64 x x)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) y))
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)

rewrite334.0ms (4.8%)

Memory
-9.0MiB live, 330.2MiB allocated
Rules
8 686×lower-fma.f32
8 682×lower-fma.f64
4 016×lower-*.f32
3 998×lower-*.f64
3 522×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028161
048139
1182122
21177122
08609122
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
18 → 1 395
Calls
Call 1
Inputs
(fma.f64 (*.f64 (neg.f64 y) x) x x)
(*.f64 (neg.f64 y) x)
(neg.f64 y)
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
#s(approx (- 1 (* x y)) #s(literal 1 binary64))
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)))
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))
(/.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))
(+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 y y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64)))))
(*.f64 (neg.f64 (*.f64 (*.f64 y y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
(*.f64 x (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 y y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))))
(pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 y x)
(/.f64 x (fma.f64 y x #s(literal 1 binary64)))
(*.f64 (*.f64 y y) x)
Outputs
(*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 x (neg.f64 y)) x x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 x (neg.f64 y)) x x) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.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 (-.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 x #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 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 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 x #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 x (fma.f64 x y #s(literal 1 binary64))) (fma.f64 (neg.f64 x) y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x y #s(literal -1 binary64)) #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))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal -1 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #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 #s(literal -1 binary64) (fma.f64 x y #s(literal -1 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 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 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 #s(literal -1 binary64) (fma.f64 x y #s(literal -1 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 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 x (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 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 x (pow.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal -1 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 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 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64))) x) (pow.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x y #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal 6 binary64))) (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal -3 binary64))) x) (pow.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64)))) (pow.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x y #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 x (fma.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal 6 binary64))) (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal -3 binary64)))) (pow.f64 (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 (*.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 -1/2 binary64))) (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 x y #s(literal 1 binary64)) x) #s(literal -2 binary64)) (*.f64 (pow.f64 (/.f64 (fma.f64 x y #s(literal 1 binary64)) x) #s(literal -2 binary64)) (pow.f64 (*.f64 x y) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) x)) (fma.f64 x y #s(literal 1 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 x y) x))))
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(/.f64 (neg.f64 x) (fma.f64 (neg.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 #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 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))))
(-.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 (-.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))))
(*.f64 (neg.f64 (neg.f64 y)) (*.f64 x y))
(*.f64 (*.f64 (neg.f64 y) y) (neg.f64 x))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 y) y))
(*.f64 (*.f64 (*.f64 x (neg.f64 y)) y) #s(literal -1 binary64))
(*.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64))
(*.f64 (*.f64 y y) x)
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (neg.f64 y)) y))
(*.f64 (*.f64 x y) y)
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x))
(*.f64 x (*.f64 y y))
(*.f64 (neg.f64 y) (*.f64 x (neg.f64 y)))
(*.f64 y (neg.f64 (*.f64 x (neg.f64 y))))
(*.f64 y (*.f64 x y))
(/.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 x (neg.f64 y)) y) #s(literal 3 binary64))) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x x) #s(literal 0 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64)))) (*.f64 (*.f64 y y) x))
(/.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 2 binary64))) (*.f64 (*.f64 x (neg.f64 y)) y))
(/.f64 (pow.f64 (*.f64 (*.f64 x (neg.f64 y)) y) #s(literal 3 binary64)) (neg.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x x) #s(literal 0 binary64))))
(neg.f64 (*.f64 (*.f64 x (neg.f64 y)) y))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (neg.f64 y)) y))
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) x))

eval262.0ms (3.7%)

Memory
24.2MiB live, 559.7MiB allocated
Compiler

Compiled 43 286 to 2 774 computations (93.6% saved)

prune197.0ms (2.8%)

Memory
15.0MiB live, 360.1MiB allocated
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New1 86581 873
Fresh404
Picked235
Done000
Total1 871111 882
Accuracy
100.0%
Counts
1 882 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.3%
(fma.f64 (*.f64 (*.f64 x (neg.f64 y)) y) (*.f64 (/.f64 x (fma.f64 x y #s(literal 1 binary64))) x) (/.f64 x (fma.f64 x y #s(literal 1 binary64))))
✓99.9%
(fma.f64 (*.f64 (neg.f64 y) x) x x)
▶78.8%
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 (fma.f64 x y #s(literal 1 binary64)) x))
21.9%
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (neg.f64 y) (*.f64 y (*.f64 x x)))) x) (fma.f64 y x #s(literal 1 binary64)))
▶99.9%
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))))
▶38.7%
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) x)))
38.6%
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y)) x)))
▶22.0%
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y))))))
✓49.2%
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)))
✓54.8%
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
▶44.7%
#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (neg.f64 y) (*.f64 x x)))
Compiler

Compiled 230 to 160 computations (30.4% saved)

simplify121.0ms (1.7%)

Memory
-17.5MiB live, 134.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x y)
cost-diff0
(pow.f64 (*.f64 x y) #s(literal 2 binary64))
cost-diff0
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
cost-diff384
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 (fma.f64 x y #s(literal 1 binary64)) x))
cost-diff0
(sqrt.f64 (*.f64 x y))
cost-diff0
#s(approx (- 1 (* x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y)))))
cost-diff0
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y))))))
cost-diff1920
(*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y))))
cost-diff0
#s(approx (- 1 (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) x))
cost-diff0
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) x)))
cost-diff448
(/.f64 y (*.f64 (neg.f64 y) y))
cost-diff1280
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y)))
cost-diff0
(*.f64 x x)
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 (neg.f64 y) (*.f64 x x))
cost-diff0
#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (neg.f64 y) (*.f64 x x)))
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
5 462×lower-fma.f32
5 458×lower-fma.f64
4 858×lower-*.f32
4 844×lower-*.f64
2 588×lower-neg.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036229
058222
1117208
2212181
3652181
42172181
54579181
08044180
Stop Event
1×iter limit
1×node limit
1×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
#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.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 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) x)))
x
#s(approx (- 1 (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) x))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) x)
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y)))
#s(literal 1 binary64)
(/.f64 y (*.f64 (neg.f64 y) y))
y
(*.f64 (neg.f64 y) y)
(neg.f64 y)
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y))))))
x
#s(approx (- 1 (* x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y)))))
(*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y))))
(sqrt.f64 (*.f64 x y))
(*.f64 x y)
y
(neg.f64 (sqrt.f64 (*.f64 x y)))
(/.f64 (-.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 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x y)
x
y
#s(literal 2 binary64)
(/.f64 (fma.f64 x y #s(literal 1 binary64)) 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
#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (neg.f64 y) (*.f64 x x)))
#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (*.f64 (neg.f64 x) x) y))
(*.f64 (neg.f64 y) (*.f64 x x))
(*.f64 (*.f64 (neg.f64 x) x) y)
(neg.f64 y)
y
(*.f64 x x)
x
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) x)))
(*.f64 #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) x)
x
#s(approx (- 1 (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) x))
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) x)
(*.f64 (neg.f64 y) x)
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y)))
(neg.f64 y)
#s(literal 1 binary64)
(/.f64 y (*.f64 (neg.f64 y) y))
(/.f64 #s(literal -1 binary64) y)
y
(*.f64 (neg.f64 y) y)
(neg.f64 y)
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y))))))
(*.f64 #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) x)
x
#s(approx (- 1 (* x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y)))))
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))
(*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y))))
(*.f64 (neg.f64 y) x)
(sqrt.f64 (*.f64 x y))
(sqrt.f64 (*.f64 y x))
(*.f64 x y)
(*.f64 y x)
y
(neg.f64 (sqrt.f64 (*.f64 x y)))
(neg.f64 (sqrt.f64 (*.f64 y x)))
(/.f64 (-.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 x (fma.f64 y x #s(literal 1 binary64))) (-.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)))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (*.f64 x y) #s(literal 2 binary64))
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
(*.f64 x y)
(*.f64 y x)
x
y
#s(literal 2 binary64)
(/.f64 (fma.f64 x y #s(literal 1 binary64)) x)
(/.f64 (fma.f64 y x #s(literal 1 binary64)) x)
(fma.f64 x y #s(literal 1 binary64))
(fma.f64 y x #s(literal 1 binary64))

localize105.0ms (1.5%)

Memory
2.2MiB live, 186.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x y)
accuracy0.09375
(pow.f64 (*.f64 x y) #s(literal 2 binary64))
accuracy1.446892645438294
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 (fma.f64 x y #s(literal 1 binary64)) x))
accuracy4.68805097642652
(/.f64 (fma.f64 x y #s(literal 1 binary64)) x)
accuracy0.0234375
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y))))))
accuracy0.14453125
(*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y))))
accuracy8.707085408451764
(sqrt.f64 (*.f64 x y))
accuracy17.83588792280581
#s(approx (- 1 (* x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y)))))
accuracy0.0234375
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) x)))
accuracy0.09375
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y)))
accuracy14.497193929071182
(/.f64 y (*.f64 (neg.f64 y) y))
accuracy17.83588792280581
#s(approx (- 1 (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) x))
accuracy0
(*.f64 x x)
accuracy0
(neg.f64 y)
accuracy2.482565821328717
(*.f64 (neg.f64 y) (*.f64 x x))
accuracy17.407091488843395
#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (neg.f64 y) (*.f64 x x)))
accuracy0
(fma.f64 x (neg.f64 y) #s(literal 1 binary64))
accuracy0
(neg.f64 y)
accuracy0.0234375
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))))
accuracy0.03515625
(/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64)))
Samples
42.0ms125×0valid
33.0ms131×0invalid
Compiler

Compiled 186 to 34 computations (81.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-mult: 14.0ms (28.9% of total)
ival-div: 11.0ms (22.7% of total)
ival-sub: 11.0ms (22.7% of total)
ival-pow2: 5.0ms (10.3% of total)
ival-add: 3.0ms (6.2% of total)
ival-sqrt: 2.0ms (4.1% of total)
ival-neg: 2.0ms (4.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series64.0ms (0.9%)

Memory
-22.3MiB live, 60.0MiB allocated
Counts
20 → 432
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 #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (neg.f64 y) (*.f64 x x))) (patch #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.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 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) #<representation binary64>) () ())
#s(alt (/.f64 y (*.f64 (neg.f64 y) y)) (patch (/.f64 y (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())
#s(alt (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) x))) (patch (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) x))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) x)) (patch #s(approx (- 1 (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) x)) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y)))) (patch (*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y)))) #<representation binary64>) () ())
#s(alt (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y)))))) (patch (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y)))))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y))))) (patch #s(approx (- 1 (* x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (*.f64 x y)) (patch (sqrt.f64 (*.f64 x y)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 (fma.f64 x y #s(literal 1 binary64)) x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 (fma.f64 x y #s(literal 1 binary64)) x)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 x y #s(literal 1 binary64)) x) (patch (/.f64 (fma.f64 x y #s(literal 1 binary64)) x) #<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 x (taylor 0 y) (#s(alt #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (neg.f64 y) (*.f64 x x))) (patch #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (neg.f64 y) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (neg.f64 y) (*.f64 x x))) (patch #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (neg.f64 y) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (neg.f64 y) (*.f64 x x))) (patch #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (neg.f64 y) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (neg.f64 y) (*.f64 x x))) (patch #s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.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 (* -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 y (*.f64 (neg.f64 y) y)) (patch (/.f64 y (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 y (*.f64 (neg.f64 y) y)) (patch (/.f64 y (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 y (*.f64 (neg.f64 y) y)) (patch (/.f64 y (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 y (*.f64 (neg.f64 y) y)) (patch (/.f64 y (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) x))) (patch (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) 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 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) x))) (patch (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) 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 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) x))) (patch (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) 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 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) x))) (patch (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (- 1 (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) x)) (patch #s(approx (- 1 (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 y) (#s(alt #s(approx (- 1 (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) x)) (patch #s(approx (- 1 (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 y) (#s(alt #s(approx (- 1 (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) x)) (patch #s(approx (- 1 (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 y) (#s(alt #s(approx (- 1 (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) x)) (patch #s(approx (- 1 (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y)))) (patch (*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y)))) (patch (*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y)))) (patch (*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y)))) (patch (*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y)))))) (patch (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y)))))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y)))))) (patch (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y)))))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y)))))) (patch (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y)))))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y)))))) (patch (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y)))))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (- 1 (* x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y))))) (patch #s(approx (- 1 (* x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 y) (#s(alt #s(approx (- 1 (* x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y))))) (patch #s(approx (- 1 (* x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 y) (#s(alt #s(approx (- 1 (* x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y))))) (patch #s(approx (- 1 (* x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 y) (#s(alt #s(approx (- 1 (* x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y))))) (patch #s(approx (- 1 (* x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (sqrt (* x y)) (taylor 0 y) (#s(alt (sqrt.f64 (*.f64 x y)) (patch (sqrt.f64 (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (sqrt (* x y)) (taylor 0 y) (#s(alt (sqrt.f64 (*.f64 x y)) (patch (sqrt.f64 (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (sqrt (* x y)) (taylor 0 y) (#s(alt (sqrt.f64 (*.f64 x y)) (patch (sqrt.f64 (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (sqrt (* x y)) (taylor 0 y) (#s(alt (sqrt.f64 (*.f64 x y)) (patch (sqrt.f64 (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 (fma.f64 x y #s(literal 1 binary64)) x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 (fma.f64 x y #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 (fma.f64 x y #s(literal 1 binary64)) x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 (fma.f64 x y #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 (fma.f64 x y #s(literal 1 binary64)) x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 (fma.f64 x y #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 (fma.f64 x y #s(literal 1 binary64)) x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 (fma.f64 x y #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #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 x y) #s(literal 2 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #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 x y) #s(literal 2 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #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 x y) #s(literal 2 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #<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 x) (taylor 0 y) (#s(alt (/.f64 (fma.f64 x y #s(literal 1 binary64)) x) (patch (/.f64 (fma.f64 x y #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ y (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 (fma.f64 x y #s(literal 1 binary64)) x) (patch (/.f64 (fma.f64 x y #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ y (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 (fma.f64 x y #s(literal 1 binary64)) x) (patch (/.f64 (fma.f64 x y #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ y (/ 1 x)) (taylor 0 y) (#s(alt (/.f64 (fma.f64 x y #s(literal 1 binary64)) x) (patch (/.f64 (fma.f64 x y #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) x))) (patch (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) x))) (patch (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) x))) (patch (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) x))) (patch (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt #s(approx (- 1 (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) x)) (patch #s(approx (- 1 (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (- 1 (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) x)) (patch #s(approx (- 1 (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (- 1 (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) x)) (patch #s(approx (- 1 (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (- 1 (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) x)) (patch #s(approx (- 1 (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y)))) (patch (*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* x (* y (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y)))) (patch (*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* x (* y (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y)))) (patch (*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* x (* y (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y)))) (patch (*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y)))))) (patch (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y)))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y)))))) (patch (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y)))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y)))))) (patch (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y)))))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y)))))) (patch (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y)))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt #s(approx (- 1 (* x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y))))) (patch #s(approx (- 1 (* x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (- 1 (* x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y))))) (patch #s(approx (- 1 (* x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (- 1 (* x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y))))) (patch #s(approx (- 1 (* x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (- 1 (* x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y))))) (patch #s(approx (- 1 (* x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y))))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 x y)) (patch (sqrt.f64 (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 x y)) (patch (sqrt.f64 (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 x y)) (patch (sqrt.f64 (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 (*.f64 x y)) (patch (sqrt.f64 (*.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 (fma.f64 x y #s(literal 1 binary64)) x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 (fma.f64 x y #s(literal 1 binary64)) x)) #<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 x y) #s(literal 2 binary64))) (/.f64 (fma.f64 x y #s(literal 1 binary64)) x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 (fma.f64 x y #s(literal 1 binary64)) x)) #<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 x y) #s(literal 2 binary64))) (/.f64 (fma.f64 x y #s(literal 1 binary64)) x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 (fma.f64 x y #s(literal 1 binary64)) x)) #<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 x y) #s(literal 2 binary64))) (/.f64 (fma.f64 x y #s(literal 1 binary64)) x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 (fma.f64 x y #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #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 x y) #s(literal 2 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #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 x y) #s(literal 2 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #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 x y) #s(literal 2 binary64))) (patch (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #<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 y (taylor -inf x) (#s(alt (/.f64 (fma.f64 x y #s(literal 1 binary64)) x) (patch (/.f64 (fma.f64 x y #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ y (/ 1 x)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x y #s(literal 1 binary64)) x) (patch (/.f64 (fma.f64 x y #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ y (/ 1 x)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x y #s(literal 1 binary64)) x) (patch (/.f64 (fma.f64 x y #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (+ y (/ 1 x)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x y #s(literal 1 binary64)) x) (patch (/.f64 (fma.f64 x y #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
6.0ms
y
@inf
((/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (+ (* x (neg y)) 1) (neg y) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (neg y) (* x x)) (* x x) (/ 1 (/ y (* (neg y) y))) (/ y (* (neg y) y)) (* x (- 1 (* x y))) (- 1 (* x y)) (* (sqrt (* x y)) (neg (sqrt (* x y)))) (* x (- 1 (* x y))) (- 1 (* x y)) (sqrt (* x y)) (/ (- 1 (pow (* x y) 2)) (/ (+ (* x y) 1) x)) (- 1 (pow (* x y) 2)) (pow (* x y) 2) (* x y) (/ (+ (* x y) 1) x))
4.0ms
y
@-inf
((/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (+ (* x (neg y)) 1) (neg y) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (neg y) (* x x)) (* x x) (/ 1 (/ y (* (neg y) y))) (/ y (* (neg y) y)) (* x (- 1 (* x y))) (- 1 (* x y)) (* (sqrt (* x y)) (neg (sqrt (* x y)))) (* x (- 1 (* x y))) (- 1 (* x y)) (sqrt (* x y)) (/ (- 1 (pow (* x y) 2)) (/ (+ (* x y) 1) x)) (- 1 (pow (* x y) 2)) (pow (* x y) 2) (* x y) (/ (+ (* x y) 1) x))
4.0ms
x
@-inf
((/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (+ (* x (neg y)) 1) (neg y) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (neg y) (* x x)) (* x x) (/ 1 (/ y (* (neg y) y))) (/ y (* (neg y) y)) (* x (- 1 (* x y))) (- 1 (* x y)) (* (sqrt (* x y)) (neg (sqrt (* x y)))) (* x (- 1 (* x y))) (- 1 (* x y)) (sqrt (* x y)) (/ (- 1 (pow (* x y) 2)) (/ (+ (* x y) 1) x)) (- 1 (pow (* x y) 2)) (pow (* x y) 2) (* x y) (/ (+ (* x y) 1) x))
3.0ms
y
@0
((/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (+ (* x (neg y)) 1) (neg y) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (neg y) (* x x)) (* x x) (/ 1 (/ y (* (neg y) y))) (/ y (* (neg y) y)) (* x (- 1 (* x y))) (- 1 (* x y)) (* (sqrt (* x y)) (neg (sqrt (* x y)))) (* x (- 1 (* x y))) (- 1 (* x y)) (sqrt (* x y)) (/ (- 1 (pow (* x y) 2)) (/ (+ (* x y) 1) x)) (- 1 (pow (* x y) 2)) (pow (* x y) 2) (* x y) (/ (+ (* x y) 1) x))
2.0ms
x
@inf
((/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (+ (* x (neg y)) 1) (neg y) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (neg y) (* x x)) (* x x) (/ 1 (/ y (* (neg y) y))) (/ y (* (neg y) y)) (* x (- 1 (* x y))) (- 1 (* x y)) (* (sqrt (* x y)) (neg (sqrt (* x y)))) (* x (- 1 (* x y))) (- 1 (* x y)) (sqrt (* x y)) (/ (- 1 (pow (* x y) 2)) (/ (+ (* x y) 1) x)) (- 1 (pow (* x y) 2)) (pow (* x y) 2) (* x y) (/ (+ (* x y) 1) x))

simplify147.0ms (2.1%)

Memory
15.1MiB live, 199.7MiB allocated
Algorithm
1×egg-herbie
Rules
9 914×lower-fma.f64
9 914×lower-fma.f32
4 288×lower-*.f64
4 288×lower-*.f32
2 014×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01552610
14242434
29712422
342982422
083382407
Stop Event
1×iter limit
1×node limit
Counts
432 → 418
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)
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))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 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)))
(* -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
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(sqrt (* x y))
(sqrt (* x y))
(sqrt (* x y))
(sqrt (* 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)
(/ 1 x)
(+ y (/ 1 x))
(+ y (/ 1 x))
(+ y (/ 1 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 (* 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 (* (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 y)
(* -1 y)
(* -1 y)
(* -1 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 (* 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 y))
(* y (- (/ 1 y) x))
(* y (- (/ 1 y) x))
(* y (- (/ 1 y) x))
(sqrt (* x y))
(sqrt (* x y))
(sqrt (* x y))
(sqrt (* 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)))
(* (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)
y
(* y (+ 1 (/ 1 (* x y))))
(* y (+ 1 (/ 1 (* x y))))
(* y (+ 1 (/ 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 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 (* (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 y)
(* -1 y)
(* -1 y)
(* -1 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)))
(* x (* y (pow (sqrt -1) 2)))
(* x (* y (pow (sqrt -1) 2)))
(* x (* y (pow (sqrt -1) 2)))
(* x (* y (pow (sqrt -1) 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))
(* y (+ (* -1 x) (/ 1 y)))
(* y (+ (* -1 x) (/ 1 y)))
(* y (+ (* -1 x) (/ 1 y)))
(* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* x y)) (pow (sqrt -1) 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) (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)
y
(* y (+ 1 (/ 1 (* x y))))
(* y (+ 1 (/ 1 (* x y))))
(* y (+ 1 (/ 1 (* x y))))
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
1
(+ 1 (* x y))
(+ 1 (* x (- (* x (pow y 2)) (* -1 y))))
(+ 1 (* x (- (* x (- (* x (pow y 3)) (* -1 (pow y 2)))) (* -1 y))))
1
(+ 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)))
(* -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)))
(sqrt (* x y))
(sqrt (* x y))
(sqrt (* x y))
(sqrt (* 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)
(/ 1 x)
(/ (+ 1 (* x y)) x)
(/ (+ 1 (* x y)) x)
(/ (+ 1 (* x y)) x)
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(/ -1 (* x y))
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x))
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x)
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) (pow x 2))) (+ (/ 1 y) (/ 1 (* x (pow y 2))))) x)
(* -1 (* x y))
(* x (+ (* -1 y) (/ 1 x)))
(* x (+ (* -1 y) (/ 1 x)))
(* x (+ (* -1 y) (/ 1 x)))
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(* (pow x 2) (+ (* -1 y) (/ 1 x)))
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(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* (pow x 2) y))
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(* -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))
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(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
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(* x (- (/ 1 x) y))
(* x (- (/ 1 x) y))
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(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
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(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
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(* x (- (/ 1 x) y))
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(sqrt (* x y))
(sqrt (* x y))
(sqrt (* x y))
(sqrt (* x y))
(* -1 (* (pow x 2) y))
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(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* (pow x 2) (pow y 2)))
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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))
(* x y)
(* x y)
(* x y)
(* x y)
y
(+ y (/ 1 x))
(+ y (/ 1 x))
(+ y (/ 1 x))
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(/ -1 (* x y))
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x))
(* -1 (/ (+ (/ 1 y) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) (pow y 3))))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x))
(* -1 (* x y))
(* -1 (* x (- y (/ 1 x))))
(* -1 (* x (- y (/ 1 x))))
(* -1 (* x (- 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)))
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(* -1 (* x y))
(* x (+ (* -1 y) (/ 1 x)))
(* x (+ (* -1 y) (/ 1 x)))
(* x (+ (* -1 y) (/ 1 x)))
(* x (* y (pow (sqrt -1) 2)))
(* x (* y (pow (sqrt -1) 2)))
(* x (* y (pow (sqrt -1) 2)))
(* x (* y (pow (sqrt -1) 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)))
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(* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2)))
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(* -1 (* (sqrt (* x y)) (pow (sqrt -1) 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 (* (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)
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y
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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
#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)
(+ 1 (* -1 (* x y)))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(+ 1 (* -1 (* x y)))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(+ 1 (* -1 (* x y)))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
x
(+ x (* -1 (* (pow x 2) y)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(+ x (* -1 (* (pow x 2) y)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(+ x (* -1 (* (pow x 2) y)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(* -1 (* (pow x 2) y))
(*.f64 (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))
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
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
#s(literal 1 binary64)
(+ 1 (* -1 (* x y)))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(+ 1 (* -1 (* x y)))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(+ 1 (* -1 (* x y)))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -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)))
(*.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
#s(literal 1 binary64)
(+ 1 (* -1 (* x y)))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(+ 1 (* -1 (* x y)))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(+ 1 (* -1 (* x y)))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(sqrt (* x y))
(sqrt.f64 (*.f64 y x))
(sqrt (* x y))
(sqrt.f64 (*.f64 y x))
(sqrt (* x y))
(sqrt.f64 (*.f64 y x))
(sqrt (* x y))
(sqrt.f64 (*.f64 y x))
x
(+ x (* -1 (* (pow x 2) y)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(+ x (* -1 (* (pow x 2) y)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(+ x (* -1 (* (pow x 2) y)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y y) (*.f64 (neg.f64 x) x) #s(literal 1 binary64))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y y) (*.f64 (neg.f64 x) x) #s(literal 1 binary64))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(fma.f64 (*.f64 y y) (*.f64 (neg.f64 x) x) #s(literal 1 binary64))
(* (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 x)
(/.f64 #s(literal 1 binary64) x)
(+ y (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) y)
(+ y (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) y)
(+ y (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) 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 y))
(/.f64 (/.f64 #s(literal -1 binary64) x) y)
(* -1 (/ (+ (/ 1 x) (/ 1 (* (pow x 2) y))) y))
(/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) x) (/.f64 #s(literal 1 binary64) y)) x)
(/ (- (* -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)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* y (+ (* -1 x) (/ 1 y)))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(* y (+ (* -1 x) (/ 1 y)))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(* y (+ (* -1 x) (/ 1 y)))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 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 (* (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))
(* -1 y)
(neg.f64 y)
(* -1 y)
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(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) 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 y))
(*.f64 (neg.f64 x) y)
(* y (- (/ 1 y) x))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(* y (- (/ 1 y) x))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(* y (- (/ 1 y) x))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -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))
(* 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 y))
(*.f64 (neg.f64 x) y)
(* y (- (/ 1 y) x))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(* y (- (/ 1 y) x))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(* y (- (/ 1 y) x))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(sqrt (* x y))
(sqrt.f64 (*.f64 y x))
(sqrt (* x y))
(sqrt.f64 (*.f64 y x))
(sqrt (* x y))
(sqrt.f64 (*.f64 y x))
(sqrt (* x y))
(sqrt.f64 (*.f64 y x))
(* -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 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(fma.f64 (*.f64 y y) (*.f64 (neg.f64 x) x) #s(literal 1 binary64))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
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(* -1 (/ (+ (/ 1 y) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) (pow y 3))))) x))
(/.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)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) 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) (/.f64 #s(literal 1 binary64) y)) x)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x (- y (/ 1 x))))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(* -1 (* x (- y (/ 1 x))))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(* -1 (* x (- y (/ 1 x))))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 y) (*.f64 x x))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(* -1 (* (pow x 2) y))
(*.f64 (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 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* x (+ (* -1 y) (/ 1 x)))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(* x (+ (* -1 y) (/ 1 x)))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(* x (+ (* -1 y) (/ 1 x)))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(* x (* y (pow (sqrt -1) 2)))
(*.f64 (neg.f64 x) y)
(* x (* y (pow (sqrt -1) 2)))
(*.f64 (neg.f64 x) y)
(* x (* y (pow (sqrt -1) 2)))
(*.f64 (neg.f64 x) y)
(* x (* y (pow (sqrt -1) 2)))
(*.f64 (neg.f64 x) y)
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 y) (*.f64 x x))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* x (+ (* -1 y) (/ 1 x)))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(* x (+ (* -1 y) (/ 1 x)))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(* x (+ (* -1 y) (/ 1 x)))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 y x))
(* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 y x))
(* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 y x))
(* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 y x))
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 y) (*.f64 x x))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(fma.f64 (*.f64 y y) (*.f64 (neg.f64 x) x) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(fma.f64 (*.f64 y y) (*.f64 (neg.f64 x) x) #s(literal 1 binary64))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(fma.f64 (*.f64 y y) (*.f64 (neg.f64 x) x) #s(literal 1 binary64))
(* (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)
y
(+ y (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) y)
(+ y (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) y)
(+ y (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) y)

rewrite236.0ms (3.4%)

Memory
21.3MiB live, 421.0MiB allocated
Rules
9 552×lower-fma.f32
9 548×lower-fma.f64
3 556×lower-*.f32
3 542×lower-*.f64
2 726×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036185
058173
1251148
21328119
09119119
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 1 719
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)
#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (neg.f64 y) (*.f64 x x)))
(*.f64 (neg.f64 y) (*.f64 x x))
(*.f64 x x)
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y)))
(/.f64 y (*.f64 (neg.f64 y) y))
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) x)))
#s(approx (- 1 (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) x))
(*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y))))
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y))))))
#s(approx (- 1 (* x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y)))))
(sqrt.f64 (*.f64 x y))
(/.f64 (-.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 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(pow.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x y)
(/.f64 (fma.f64 x y #s(literal 1 binary64)) x)
Outputs
(*.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #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 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)))
(*.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 (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)) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (/.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 2 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 y x #s(literal -1 binary64)) x))
(*.f64 (/.f64 (/.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) x))
(*.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 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal 1 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)) (pow.f64 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 #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 x (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 (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 x (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal -1 binary64))) (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (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 (-.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 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 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 (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)) (pow.f64 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 4 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #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 6 binary64))) #s(literal 1 binary64)) (/.f64 (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)) (/.f64 (fma.f64 y x #s(literal 1 binary64)) x)))
(*.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 y x #s(literal -1 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 y x #s(literal -1 binary64)) x) (+.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)))
(*.f64 (/.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 2 binary64))) (*.f64 (fma.f64 y x #s(literal -1 binary64)) x))
(*.f64 (/.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (/.f64 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 (*.f64 (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (fma.f64 y x #s(literal -1 binary64))) (fma.f64 y x #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #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 x (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (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 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (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 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 (*.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)))) (pow.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.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)))) (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)))
(*.f64 (*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x)) (/.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) x))
(*.f64 (pow.f64 (fma.f64 y x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (-.f64 (pow.f64 (/.f64 x (fma.f64 y x #s(literal 1 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 (/.f64 x (fma.f64 y x #s(literal 1 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 x (fma.f64 y x #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 (/.f64 (*.f64 y y) (fma.f64 y x #s(literal 1 binary64))) (pow.f64 x #s(literal 3 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))) x) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 3 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) x) (/.f64 (pow.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 y x #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) x) (/.f64 #s(literal 1 binary64) (*.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)) (fma.f64 y x #s(literal 1 binary64)))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) x) (/.f64 (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)) (fma.f64 y x #s(literal 1 binary64))))
(*.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) x 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 (-.f64 (/.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 (/.f64 (fma.f64 y x #s(literal 1 binary64)) x) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (fma.f64 y x #s(literal 1 binary64))) #s(literal -2 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 (fma.f64 y x #s(literal 1 binary64)) x))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 y x #s(literal 1 binary64)) 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)) #s(literal 1 binary64)) (/.f64 x (fma.f64 y x #s(literal -1 binary64))))
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(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 y x #s(literal -1 binary64)) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 y x #s(literal 1 binary64)))) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 y x) (pow.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal -1 binary64)))
(+.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 y x)) (pow.f64 x #s(literal -1 binary64)))
(+.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (*.f64 y x) (pow.f64 x #s(literal -1 binary64))))
(+.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 y x)))

eval467.0ms (6.6%)

Memory
3.1MiB live, 583.9MiB allocated
Compiler

Compiled 48 107 to 4 621 computations (90.4% saved)

prune280.0ms (4%)

Memory
1.4MiB live, 569.6MiB allocated
Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New2 43562 441
Fresh213
Picked415
Done033
Total2 441112 452
Accuracy
100.0%
Counts
2 452 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(fma.f64 (*.f64 (neg.f64 y) x) x x)
78.8%
(/.f64 (fma.f64 (*.f64 (*.f64 y x) x) (neg.f64 y) #s(literal 1 binary64)) (/.f64 (fma.f64 x y #s(literal 1 binary64)) x))
▶99.7%
(/.f64 (fma.f64 y x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
21.9%
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (neg.f64 y) (*.f64 y (*.f64 x 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))))
▶49.1%
(/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)))
▶49.2%
(*.f64 x #s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y))))
▶38.6%
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)) x)))
✓49.2%
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)))
✓54.8%
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
✓44.7%
#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (neg.f64 y) (*.f64 x x)))
Compiler

Compiled 177 to 134 computations (24.3% saved)

simplify107.0ms (1.5%)

Memory
12.1MiB live, 161.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal -1 binary64) x)
cost-diff0
(/.f64 (/.f64 #s(literal -1 binary64) x) y)
cost-diff0
#s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))
cost-diff0
(/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)))
cost-diff0
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)) x)
cost-diff0
#s(approx (- 1 (* x y)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)) x))
cost-diff0
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)) x)))
cost-diff1216
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y))
cost-diff0
(/.f64 #s(literal -1 binary64) x)
cost-diff0
(fma.f64 y x #s(literal -1 binary64))
cost-diff960
(/.f64 (fma.f64 y x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
cost-diff0
(/.f64 #s(literal -1 binary64) y)
cost-diff0
#s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
cost-diff0
(*.f64 x #s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y))))
cost-diff960
(/.f64 x (/.f64 #s(literal -1 binary64) y))
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
7 452×lower-fma.f32
7 450×lower-fma.f64
3 594×lower-*.f32
3 586×lower-*.f64
1 414×div-sub
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
027172
042158
173157
2126157
3205153
4328145
5659143
62557143
75739143
08099143
Stop Event
1×iter limit
1×node limit
1×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 x #s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y))))
x
#s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
(/.f64 x (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
(/.f64 (fma.f64 y x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(fma.f64 y x #s(literal -1 binary64))
y
x
#s(literal -1 binary64)
(/.f64 #s(literal -1 binary64) x)
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)) x)))
x
#s(approx (- 1 (* x y)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)) x))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)) x)
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
(*.f64 y y)
(/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)))
x
#s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))
(/.f64 (/.f64 #s(literal -1 binary64) x) y)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
y
Outputs
(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))))
(fma.f64 (neg.f64 x) (*.f64 y x) 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 x #s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y))))
(*.f64 #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) x)
x
#s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))
(/.f64 x (/.f64 #s(literal -1 binary64) y))
(*.f64 (neg.f64 y) x)
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
(/.f64 (fma.f64 y x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(fma.f64 (neg.f64 x) (*.f64 y x) x)
(fma.f64 y x #s(literal -1 binary64))
y
x
#s(literal -1 binary64)
(/.f64 #s(literal -1 binary64) x)
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)) x)))
(*.f64 #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)) x)
x
#s(approx (- 1 (* x y)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)) x))
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)) x)
(*.f64 (neg.f64 y) x)
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y))
(neg.f64 y)
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
(*.f64 y y)
(/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)))
x
#s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))
(/.f64 (/.f64 #s(literal -1 binary64) x) y)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
y

localize72.0ms (1%)

Memory
2.1MiB live, 154.6MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 #s(literal -1 binary64) x)
accuracy0.0546875
(/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)))
accuracy0.1953125
(/.f64 (/.f64 #s(literal -1 binary64) x) y)
accuracy33.425971490406475
#s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))
accuracy0
(*.f64 y y)
accuracy0.06640625
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)) x)))
accuracy29.314926766055923
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y))
accuracy33.15313371597921
#s(approx (- 1 (* x y)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)) x))
accuracy0
(fma.f64 y x #s(literal -1 binary64))
accuracy0
(/.f64 #s(literal -1 binary64) x)
accuracy0.170253759768442
(/.f64 (fma.f64 y x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
accuracy0
(/.f64 #s(literal -1 binary64) y)
accuracy0.06640625
(*.f64 x #s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y))))
accuracy0.21484375
(/.f64 x (/.f64 #s(literal -1 binary64) y))
accuracy33.15313371597921
#s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
accuracy0
(fma.f64 y x #s(literal -1 binary64))
accuracy0.0546875
(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))))
accuracy0.16156510577701627
(/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))
Samples
55.0ms256×0valid
Compiler

Compiled 135 to 26 computations (80.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-div: 16.0ms (42.2% of total)
ival-mult: 16.0ms (42.2% of total)
ival-add: 2.0ms (5.3% of total)
ival-sub: 1.0ms (2.6% of total)
ival-neg: 1.0ms (2.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series27.0ms (0.4%)

Memory
23.0MiB live, 60.0MiB allocated
Counts
17 → 360
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 x (/.f64 #s(literal -1 binary64) y)) (patch (/.f64 x (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())
#s(alt (*.f64 x #s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))) (patch (*.f64 x #s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y))) (patch #s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 y x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) (patch (/.f64 (fma.f64 y x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)) #<representation binary64>) () ())
#s(alt (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)) x))) (patch (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)) x))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 (* x y)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)) x)) (patch #s(approx (- 1 (* x y)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)) x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)) x) (patch (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)) x) #<representation binary64>) () ())
#s(alt (/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))) (patch (/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) (patch #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())
Outputs
#s(alt x (taylor 0 y) (#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 (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#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 (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#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 (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#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 1 (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x y)) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (* (pow x 2) y) (* -1 x)))) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (* y (- (* (pow x 3) y) (* -1 (pow x 2)))) (* -1 x)))) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 y) (#s(alt (fma.f64 y x #s(literal -1 binary64)) (patch (fma.f64 y x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* x y) 1) (taylor 0 y) (#s(alt (fma.f64 y x #s(literal -1 binary64)) (patch (fma.f64 y x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* x y) 1) (taylor 0 y) (#s(alt (fma.f64 y x #s(literal -1 binary64)) (patch (fma.f64 y x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* x y) 1) (taylor 0 y) (#s(alt (fma.f64 y x #s(literal -1 binary64)) (patch (fma.f64 y x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (/.f64 x (/.f64 #s(literal -1 binary64) y)) (patch (/.f64 x (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (/.f64 x (/.f64 #s(literal -1 binary64) y)) (patch (/.f64 x (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (/.f64 x (/.f64 #s(literal -1 binary64) y)) (patch (/.f64 x (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (/.f64 x (/.f64 #s(literal -1 binary64) y)) (patch (/.f64 x (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (*.f64 x #s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))) (patch (*.f64 x #s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 x #s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))) (patch (*.f64 x #s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 x #s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))) (patch (*.f64 x #s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* (pow x 2) y))) (taylor 0 y) (#s(alt (*.f64 x #s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))) (patch (*.f64 x #s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y))) (patch #s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 y) (#s(alt #s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y))) (patch #s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 y) (#s(alt #s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y))) (patch #s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (* x y))) (taylor 0 y) (#s(alt #s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y))) (patch #s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt #s(approx (- 1 (* x y)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)) x)) (patch #s(approx (- 1 (* x y)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (- 1 (* x y)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)) x)) (patch #s(approx (- 1 (* x y)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (- 1 (* x y)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)) x)) (patch #s(approx (- 1 (* x y)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (- 1 (* x y)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)) x)) (patch #s(approx (- 1 (* x y)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)) x) (patch (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)) x) (patch (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)) x) (patch (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)) x) (patch (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))) (patch (/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))) (patch (/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))) (patch (/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 y) (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))) (patch (/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x y)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) (patch #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) (patch #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (/ 1 y) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) (pow y 3))))) x)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) (patch #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) (patch #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) y) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) y) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
9.0ms
x
@inf
((/ x (/ -1 (+ (* y x) -1))) (/ -1 (+ (* y x) -1)) (+ (* y x) -1) (/ x (/ -1 y)) (* x (- 1 (* x y))) (- 1 (* x y)) (/ -1 y) (/ (+ (* y x) -1) (/ -1 x)) (/ -1 x) (* (/ -1 y) (* y y)) (* x (- 1 (* x y))) (- 1 (* x y)) (* (* (/ -1 y) (* y y)) x) (/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (/ (/ -1 x) y) (* y y))
2.0ms
y
@inf
((/ x (/ -1 (+ (* y x) -1))) (/ -1 (+ (* y x) -1)) (+ (* y x) -1) (/ x (/ -1 y)) (* x (- 1 (* x y))) (- 1 (* x y)) (/ -1 y) (/ (+ (* y x) -1) (/ -1 x)) (/ -1 x) (* (/ -1 y) (* y y)) (* x (- 1 (* x y))) (- 1 (* x y)) (* (* (/ -1 y) (* y y)) x) (/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (/ (/ -1 x) y) (* y y))
2.0ms
y
@0
((/ x (/ -1 (+ (* y x) -1))) (/ -1 (+ (* y x) -1)) (+ (* y x) -1) (/ x (/ -1 y)) (* x (- 1 (* x y))) (- 1 (* x y)) (/ -1 y) (/ (+ (* y x) -1) (/ -1 x)) (/ -1 x) (* (/ -1 y) (* y y)) (* x (- 1 (* x y))) (- 1 (* x y)) (* (* (/ -1 y) (* y y)) x) (/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (/ (/ -1 x) y) (* y y))
2.0ms
y
@-inf
((/ x (/ -1 (+ (* y x) -1))) (/ -1 (+ (* y x) -1)) (+ (* y x) -1) (/ x (/ -1 y)) (* x (- 1 (* x y))) (- 1 (* x y)) (/ -1 y) (/ (+ (* y x) -1) (/ -1 x)) (/ -1 x) (* (/ -1 y) (* y y)) (* x (- 1 (* x y))) (- 1 (* x y)) (* (* (/ -1 y) (* y y)) x) (/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (/ (/ -1 x) y) (* y y))
1.0ms
x
@0
((/ x (/ -1 (+ (* y x) -1))) (/ -1 (+ (* y x) -1)) (+ (* y x) -1) (/ x (/ -1 y)) (* x (- 1 (* x y))) (- 1 (* x y)) (/ -1 y) (/ (+ (* y x) -1) (/ -1 x)) (/ -1 x) (* (/ -1 y) (* y y)) (* x (- 1 (* x y))) (- 1 (* x y)) (* (* (/ -1 y) (* y y)) x) (/ x (/ 1 (+ (* x (neg y)) 1))) (/ 1 (+ (* x (neg y)) 1)) (/ (/ -1 x) y) (* y y))

simplify284.0ms (4%)

Memory
-2.7MiB live, 267.2MiB allocated
Algorithm
1×egg-herbie
Rules
11 008×lower-fma.f64
11 008×lower-fma.f32
3 808×lower-*.f64
3 808×lower-*.f32
2 396×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01382382
13792228
28862204
336922204
086742162
Stop Event
1×iter limit
1×node limit
Counts
360 → 350
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)
(* -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
(+ 1 (* -1 (* x y)))
(+ 1 (* -1 (* x y)))
(+ 1 (* -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 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)))
(* -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
(+ 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))
(pow y 2)
(pow y 2)
(pow y 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 (* 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 y))
(* y (- (/ 1 y) x))
(* y (- (/ 1 y) x))
(* y (- (/ 1 y) x))
(/ -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 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 (* 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 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))
(pow y 2)
(pow y 2)
(pow y 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 (* 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 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 (* (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 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 (* 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 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 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* x y))))
1
(+ 1 (* x y))
(+ 1 (* x (- (* x (pow y 2)) (* -1 y))))
(+ 1 (* x (- (* x (- (* x (pow y 3)) (* -1 (pow y 2)))) (* -1 y))))
-1
(- (* x y) 1)
(- (* x y) 1)
(- (* x y) 1)
(* -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 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
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)))
(* -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 (* x y))
(+ 1 (* x (- (* x (pow y 2)) (* -1 y))))
(+ 1 (* x (- (* x (- (* x (pow y 3)) (* -1 (pow y 2)))) (* -1 y))))
(/ -1 (* x y))
(/ -1 (* 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))
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x))
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x)
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) (pow x 2))) (+ (/ 1 y) (/ 1 (* x (pow y 2))))) x)
(* x y)
(* x (- y (/ 1 x)))
(* x (- y (/ 1 x)))
(* x (- 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 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* x y))
(* x (- (/ 1 x) y))
(* x (- (/ 1 x) y))
(* x (- (/ 1 x) y))
(* -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))
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x))
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x)
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) (pow x 2))) (+ (/ 1 y) (/ 1 (* x (pow y 2))))) x)
(/ -1 (* x y))
(/ -1 (* 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))
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x))
(* -1 (/ (+ (/ 1 y) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) (pow y 3))))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x))
(* x y)
(* -1 (* x (+ (* -1 y) (/ 1 x))))
(* -1 (* x (+ (* -1 y) (/ 1 x))))
(* -1 (* x (+ (* -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 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* x y))
(* x (+ (* -1 y) (/ 1 x)))
(* x (+ (* -1 y) (/ 1 x)))
(* x (+ (* -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))
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x))
(* -1 (/ (+ (/ 1 y) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) (pow y 3))))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
Outputs
x
(+ x (* -1 (* (pow x 2) y)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(+ x (* -1 (* (pow x 2) y)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(+ x (* -1 (* (pow x 2) y)))
(fma.f64 (neg.f64 y) (*.f64 x 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)) y) x #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))
(* -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 (neg.f64 y) (*.f64 x x) x)
(+ x (* -1 (* (pow x 2) y)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(+ x (* -1 (* (pow x 2) y)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (* x y)))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(+ 1 (* -1 (* x y)))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(+ 1 (* -1 (* x y)))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
x
(+ x (* -1 (* (pow x 2) y)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(+ x (* -1 (* (pow x 2) y)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(+ x (* -1 (* (pow x 2) y)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
x
(+ x (* -1 (* (pow x 2) y)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(+ x (* -1 (* (pow x 2) y)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(+ x (* -1 (* (pow x 2) y)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (* x y)))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(+ 1 (* -1 (* x y)))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(+ 1 (* -1 (* x y)))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(* -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 (neg.f64 y) (*.f64 x x) x)
(+ x (* -1 (* (pow x 2) y)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(+ x (* -1 (* (pow x 2) y)))
(fma.f64 (neg.f64 y) (*.f64 x 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)) y) x #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 (* x y))
(/.f64 (/.f64 #s(literal -1 binary64) x) y)
(/ -1 (* x y))
(/.f64 (/.f64 #s(literal -1 binary64) x) y)
(/ -1 (* x y))
(/.f64 (/.f64 #s(literal -1 binary64) x) y)
(/ -1 (* x y))
(/.f64 (/.f64 #s(literal -1 binary64) x) y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 y) (*.f64 x x))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(fma.f64 (neg.f64 y) (*.f64 x 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 (/.f64 #s(literal -1 binary64) 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 (/.f64 #s(literal -1 binary64) 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)
(* y (- x (/ 1 y)))
(fma.f64 y x #s(literal -1 binary64))
(* y (- x (/ 1 y)))
(fma.f64 y x #s(literal -1 binary64))
(* y (- x (/ 1 y)))
(fma.f64 y x #s(literal -1 binary64))
(* -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))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* y (- (/ 1 y) x))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(* y (- (/ 1 y) x))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(* y (- (/ 1 y) x))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 y) (*.f64 x x))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 y) (*.f64 x x))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* y (- (/ 1 y) x))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(* y (- (/ 1 y) x))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(* y (- (/ 1 y) x))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(* -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))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(fma.f64 (neg.f64 y) (*.f64 x 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 (/.f64 #s(literal -1 binary64) 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 (/.f64 #s(literal -1 binary64) 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)
(/ -1 (* x y))
(/.f64 (/.f64 #s(literal -1 binary64) x) y)
(/ -1 (* x y))
(/.f64 (/.f64 #s(literal -1 binary64) x) y)
(/ -1 (* x y))
(/.f64 (/.f64 #s(literal -1 binary64) x) y)
(/ -1 (* x y))
(/.f64 (/.f64 #s(literal -1 binary64) x) y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 y) (*.f64 x x))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(fma.f64 (neg.f64 y) (*.f64 x 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 (/.f64 #s(literal -1 binary64) x) x) y) (/.f64 #s(literal 1 binary64) x)) y)
(* -1 (/ (+ (/ 1 x) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 3) (pow y 2))))) 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 (/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) 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)
(* -1 (* y (+ (* -1 x) (/ 1 y))))
(fma.f64 y x #s(literal -1 binary64))
(* -1 (* y (+ (* -1 x) (/ 1 y))))
(fma.f64 y x #s(literal -1 binary64))
(* -1 (* y (+ (* -1 x) (/ 1 y))))
(fma.f64 y x #s(literal -1 binary64))
(* -1 (* 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))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* y (+ (* -1 x) (/ 1 y)))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(* y (+ (* -1 x) (/ 1 y)))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(* y (+ (* -1 x) (/ 1 y)))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 y) (*.f64 x x))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 y) (*.f64 x x))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* y (+ (* -1 x) (/ 1 y)))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(* y (+ (* -1 x) (/ 1 y)))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(* y (+ (* -1 x) (/ 1 y)))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(* -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))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(fma.f64 (neg.f64 y) (*.f64 x 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 (/.f64 #s(literal -1 binary64) x) x) y) (/.f64 #s(literal 1 binary64) x)) y)
(* -1 (/ (+ (/ 1 x) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 3) (pow y 2))))) 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 (/ (- (* -1 (/ (+ (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) 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)
(/ -1 (* x y))
(/.f64 (/.f64 #s(literal -1 binary64) x) y)
(/ -1 (* x y))
(/.f64 (/.f64 #s(literal -1 binary64) x) y)
(/ -1 (* x y))
(/.f64 (/.f64 #s(literal -1 binary64) x) y)
(/ -1 (* x y))
(/.f64 (/.f64 #s(literal -1 binary64) x) y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
x
(* x (+ 1 (* -1 (* x y))))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* x (+ 1 (* -1 (* x y))))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* x (+ 1 (* -1 (* x y))))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
1
#s(literal 1 binary64)
(+ 1 (* x y))
(fma.f64 y x #s(literal 1 binary64))
(+ 1 (* x (- (* x (pow y 2)) (* -1 y))))
(fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (- (* x (pow y 3)) (* -1 (pow y 2)))) (* -1 y))))
(fma.f64 (fma.f64 (*.f64 y (*.f64 (fma.f64 y x #s(literal 1 binary64)) y)) x y) x #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (* x y) 1)
(fma.f64 y x #s(literal -1 binary64))
(- (* x y) 1)
(fma.f64 y x #s(literal -1 binary64))
(- (* x y) 1)
(fma.f64 y x #s(literal -1 binary64))
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
x
(* x (+ 1 (* -1 (* x y))))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* x (+ 1 (* -1 (* x y))))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* x (+ 1 (* -1 (* x y))))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (* x y)))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(+ 1 (* -1 (* x y)))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(+ 1 (* -1 (* x y)))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
x
(* x (+ 1 (* -1 (* x y))))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* x (+ 1 (* -1 (* x y))))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* x (+ 1 (* -1 (* x y))))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
x
(* x (+ 1 (* -1 (* x y))))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* x (+ 1 (* -1 (* x y))))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* x (+ 1 (* -1 (* x y))))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (* x y)))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(+ 1 (* -1 (* x y)))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(+ 1 (* -1 (* x y)))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
x
(* x (+ 1 (* -1 (* x y))))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* x (+ 1 (* -1 (* x y))))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* x (+ 1 (* -1 (* x y))))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
1
#s(literal 1 binary64)
(+ 1 (* x y))
(fma.f64 y x #s(literal 1 binary64))
(+ 1 (* x (- (* x (pow y 2)) (* -1 y))))
(fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) y) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (- (* x (pow y 3)) (* -1 (pow y 2)))) (* -1 y))))
(fma.f64 (fma.f64 (*.f64 y (*.f64 (fma.f64 y x #s(literal 1 binary64)) y)) x y) x #s(literal 1 binary64))
(/ -1 (* x y))
(/.f64 (/.f64 #s(literal -1 binary64) x) y)
(/ -1 (* x y))
(/.f64 (/.f64 #s(literal -1 binary64) x) y)
(/ -1 (* x y))
(/.f64 (/.f64 #s(literal -1 binary64) x) y)
(/ -1 (* x y))
(/.f64 (/.f64 #s(literal -1 binary64) x) y)
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 y) (*.f64 x x))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(/ -1 (* x y))
(/.f64 (/.f64 #s(literal -1 binary64) x) y)
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x))
(/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) y) (/.f64 #s(literal 1 binary64) x)) y)
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x)
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x))) x)) x)
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) (pow x 2))) (+ (/ 1 y) (/ 1 (* x (pow y 2))))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) 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) (/.f64 #s(literal 1 binary64) y)) x)
(* x y)
(*.f64 y x)
(* x (- y (/ 1 x)))
(fma.f64 y x #s(literal -1 binary64))
(* x (- y (/ 1 x)))
(fma.f64 y x #s(literal -1 binary64))
(* x (- y (/ 1 x)))
(fma.f64 y x #s(literal -1 binary64))
(* -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 (neg.f64 y) (*.f64 x x) x)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* x (- (/ 1 x) y))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(* x (- (/ 1 x) y))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(* x (- (/ 1 x) y))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 y) (*.f64 x x))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 y) (*.f64 x x))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* x (- (/ 1 x) y))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(* x (- (/ 1 x) y))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(* x (- (/ 1 x) y))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(* -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 (neg.f64 y) (*.f64 x x) x)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(/ -1 (* x y))
(/.f64 (/.f64 #s(literal -1 binary64) x) y)
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x))
(/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) y) (/.f64 #s(literal 1 binary64) x)) y)
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x)
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x))) x)) x)
(/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) (pow x 2))) (+ (/ 1 y) (/ 1 (* x (pow y 2))))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) 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) (/.f64 #s(literal 1 binary64) y)) x)
(/ -1 (* x y))
(/.f64 (/.f64 #s(literal -1 binary64) x) y)
(/ -1 (* x y))
(/.f64 (/.f64 #s(literal -1 binary64) x) y)
(/ -1 (* x y))
(/.f64 (/.f64 #s(literal -1 binary64) x) y)
(/ -1 (* x y))
(/.f64 (/.f64 #s(literal -1 binary64) x) y)
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 y) (*.f64 x x))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(/ -1 (* x y))
(/.f64 (/.f64 #s(literal -1 binary64) x) y)
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x))
(/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) y) (/.f64 #s(literal 1 binary64) x)) y)
(* -1 (/ (+ (/ 1 y) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) (pow y 3))))) x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x))) x)) x)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) 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) (/.f64 #s(literal 1 binary64) y)) x)
(* x y)
(*.f64 y x)
(* -1 (* x (+ (* -1 y) (/ 1 x))))
(fma.f64 y x #s(literal -1 binary64))
(* -1 (* x (+ (* -1 y) (/ 1 x))))
(fma.f64 y x #s(literal -1 binary64))
(* -1 (* x (+ (* -1 y) (/ 1 x))))
(fma.f64 y x #s(literal -1 binary64))
(* -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 (neg.f64 y) (*.f64 x x) x)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* x (+ (* -1 y) (/ 1 x)))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(* x (+ (* -1 y) (/ 1 x)))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(* x (+ (* -1 y) (/ 1 x)))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 y) (*.f64 x x))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 y) (*.f64 x x))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* x (+ (* -1 y) (/ 1 x)))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(* x (+ (* -1 y) (/ 1 x)))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(* x (+ (* -1 y) (/ 1 x)))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(* -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 (neg.f64 y) (*.f64 x x) x)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(fma.f64 (neg.f64 y) (*.f64 x x) x)
(/ -1 (* x y))
(/.f64 (/.f64 #s(literal -1 binary64) x) y)
(* -1 (/ (+ (/ 1 y) (/ 1 (* x (pow y 2)))) x))
(/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) y) (/.f64 #s(literal 1 binary64) x)) y)
(* -1 (/ (+ (/ 1 y) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 2) (pow y 3))))) x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x))) x)) x)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) 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) (/.f64 #s(literal 1 binary64) y)) x)
(/ -1 (* x y))
(/.f64 (/.f64 #s(literal -1 binary64) x) y)
(/ -1 (* x y))
(/.f64 (/.f64 #s(literal -1 binary64) x) y)
(/ -1 (* x y))
(/.f64 (/.f64 #s(literal -1 binary64) x) y)
(/ -1 (* x y))
(/.f64 (/.f64 #s(literal -1 binary64) x) y)

rewrite124.0ms (1.8%)

Memory
19.0MiB live, 213.8MiB allocated
Rules
4 448×lower-fma.f32
4 446×lower-fma.f64
2 972×lower-*.f32
2 964×lower-*.f64
2 428×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027147
042133
1166122
2956118
08495112
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
17 → 922
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 x (/.f64 #s(literal -1 binary64) y))
(*.f64 x #s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y))))
#s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y)))
(/.f64 #s(literal -1 binary64) y)
(/.f64 (fma.f64 y x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) x)
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y))
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)) x)))
#s(approx (- 1 (* x y)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)) x))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)) x)
(/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)))
#s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))
(/.f64 (/.f64 #s(literal -1 binary64) x) y)
(*.f64 y y)
Outputs
(*.f64 (/.f64 (*.f64 x (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #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 (*.f64 x (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 x y #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 x (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64))) (-.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 x (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64)))) (fma.f64 (*.f64 x y) (fma.f64 x y #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))) (+.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 6 binary64)))) (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 4 binary64))))
(*.f64 (/.f64 x (pow.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal -1 binary64))))
(*.f64 (/.f64 x (pow.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 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 (pow.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 #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))) (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 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal -1 binary64))) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal -1 binary64))) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 x (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 (neg.f64 x) (fma.f64 x y #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (neg.f64 x) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 x (fma.f64 x y #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 x (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64)))) (pow.f64 (fma.f64 x y #s(literal -1 binary64)) #s(literal -1 binary64)))
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(*.f64 (pow.f64 #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) #s(literal -1 binary64)) x)
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))))
(*.f64 (/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))))
(pow.f64 (/.f64 #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) x) #s(literal -1 binary64))
(/.f64 x (*.f64 (neg.f64 #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))) #s(literal -1 binary64)))
(/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)))
(/.f64 (/.f64 (neg.f64 x) #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (pow.f64 #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 x) (*.f64 (neg.f64 #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))) #s(literal 1 binary64)))
(/.f64 (neg.f64 x) (*.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)))))
(/.f64 (neg.f64 x) (neg.f64 #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))))
(/.f64 (/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) x))
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 x) #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)))) (/.f64 (neg.f64 x) #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) x)) #s(literal -1 binary64)))
(*.f64 #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))))
#s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))
(/.f64 (neg.f64 #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))) #s(literal -1 binary64))
(/.f64 #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y)) #s(literal -1 binary64)))
(neg.f64 (neg.f64 #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) x) y))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 y) y)) y)
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (*.f64 y y))
(*.f64 (pow.f64 (*.f64 x (neg.f64 y)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x (neg.f64 y)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 y #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x y) #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) #s(literal 1 binary64))
(pow.f64 (*.f64 x (neg.f64 y)) #s(literal -1 binary64))
(/.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 x))
(/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 y))
(/.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) #s(literal 1 binary64))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (/.f64 #s(literal -1 binary64) x) y)
(/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 y)))
(/.f64 (/.f64 #s(literal -1 binary64) y) x)
(/.f64 #s(literal -1 binary64) (*.f64 x y))
(neg.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (pow.f64 (*.f64 x y) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (pow.f64 (*.f64 x y) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x y) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (neg.f64 y))) #s(literal -1 binary64)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 (*.f64 y y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y y))
(*.f64 y y)
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) y))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -2 binary64))
(pow.f64 y #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (neg.f64 y) y))
(/.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 0 binary64)) (-.f64 (*.f64 y y) #s(literal 0 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 y y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 #s(literal 0 binary64) (*.f64 y y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y y) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (*.f64 y y) (*.f64 y y) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) #s(literal 0 binary64)))))
(/.f64 (*.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 y) y)) (*.f64 y y))
(/.f64 (*.f64 (*.f64 (neg.f64 y) y) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (*.f64 (*.f64 (neg.f64 y) y) (neg.f64 y)) y)
(/.f64 (*.f64 (*.f64 (neg.f64 y) y) #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 (neg.f64 y) y) y) (neg.f64 y))
(/.f64 (*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (*.f64 (neg.f64 y) y)) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (*.f64 (*.f64 y y) (*.f64 y y)))
(/.f64 (*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (neg.f64 y)) (*.f64 y y))
(/.f64 (*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 y))
(/.f64 (*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) y) (*.f64 (neg.f64 y) y))
(/.f64 (*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) #s(literal -1 binary64)) y)
(/.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) y)
(/.f64 (*.f64 (neg.f64 y) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (*.f64 y y))
(/.f64 (*.f64 y (*.f64 (neg.f64 y) y)) (neg.f64 y))
(/.f64 (*.f64 y (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (*.f64 (neg.f64 y) y))
(/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) y)
(/.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64))
(/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (neg.f64 y))
(/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) y))
(/.f64 (*.f64 y y) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) y)))
(/.f64 y (pow.f64 y #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 y #s(literal -1 binary64))))
(neg.f64 (*.f64 (neg.f64 y) y))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) (neg.f64 y) (*.f64 y y))
(fma.f64 (neg.f64 y) #s(literal 0 binary64) (*.f64 y y))
(fma.f64 (neg.f64 y) (neg.f64 y) #s(literal 0 binary64))
(fma.f64 (*.f64 y y) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 y y) #s(literal 0 binary64))
(fma.f64 y y #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) y) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (*.f64 (neg.f64 y) #s(literal 0 binary64)) (*.f64 y y))
(+.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 y y))
(+.f64 #s(literal 0 binary64) (*.f64 y y))
(+.f64 (*.f64 y y) #s(literal 0 binary64))

eval552.0ms (7.8%)

Memory
-184.1MiB live, 404.4MiB allocated
Compiler

Compiled 23 934 to 2 709 computations (88.7% saved)

prune196.0ms (2.8%)

Memory
40.6MiB live, 352.8MiB allocated
Pruning

10 alts after pruning (5 fresh and 5 done)

PrunedKeptTotal
New1 52241 526
Fresh112
Picked415
Done044
Total1 527101 537
Accuracy
100.0%
Counts
1 537 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(fma.f64 (*.f64 (neg.f64 y) x) x x)
21.9%
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (neg.f64 y) (*.f64 y (*.f64 x x)))) x) (fma.f64 y x #s(literal 1 binary64)))
49.1%
(/.f64 #s(approx (+ (* y x) -1) (*.f64 y x)) (/.f64 #s(literal -1 binary64) x))
49.1%
(/.f64 x (/.f64 #s(literal -1 binary64) #s(approx (+ (* y x) -1) (*.f64 y x))))
49.2%
(/.f64 x #s(approx (/ 1 (+ (* x (neg y)) 1)) (/.f64 (/.f64 #s(literal -1 binary64) y) x)))
38.3%
(*.f64 x #s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y)))
✓49.2%
(*.f64 x #s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y))))
✓49.2%
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 y) x)))
✓54.8%
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
✓44.7%
#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.f64 (neg.f64 y) (*.f64 x x)))
Compiler

Compiled 401 to 178 computations (55.6% saved)

regimes56.0ms (0.8%)

Memory
-6.4MiB live, 68.7MiB allocated
Counts
28 → 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)))
#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.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 #s(approx (- 1 (* x y)) (/.f64 x (/.f64 #s(literal -1 binary64) y))))
(/.f64 x (/.f64 #s(literal -1 binary64) #s(approx (+ (* y x) -1) (*.f64 y x))))
(/.f64 #s(approx (+ (* y x) -1) (*.f64 y x)) (/.f64 #s(literal -1 binary64) x))
(*.f64 x #s(approx (- 1 (* x y)) (/.f64 (*.f64 x (*.f64 (neg.f64 y) y)) y)))
(/.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))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) #s(literal 1 binary64))))
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y y)) x)))
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y)) 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 x #s(approx (- 1 (* x y)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y))) x)))
(/.f64 (*.f64 #s(approx (- 1 (pow (* y x) 2)) (*.f64 (neg.f64 y) (*.f64 y (*.f64 x x)))) x) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 (*.f64 x y))))))
(/.f64 (fma.f64 (*.f64 (*.f64 y x) x) (neg.f64 y) #s(literal 1 binary64)) (/.f64 (fma.f64 x y #s(literal 1 binary64)) x))
(fma.f64 (*.f64 (*.f64 x (neg.f64 y)) y) (*.f64 (/.f64 x (fma.f64 x y #s(literal 1 binary64))) x) (/.f64 x (fma.f64 x y #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 (-.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 x y) #s(literal 2 binary64))) (/.f64 (fma.f64 x y #s(literal 1 binary64)) x))
(*.f64 x (/.f64 (-.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 x (+.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 y y) x)) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 y x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y x) #s(literal 1/2 binary64)))))
Outputs
(fma.f64 (*.f64 (neg.f64 y) x) x x)
Calls

3 calls:

36.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
10.0ms
y
8.0ms
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)

regimes13.0ms (0.2%)

Memory
-18.1MiB live, 21.0MiB allocated
Counts
5 → 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)))
#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.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:

8.0ms
x
2.0ms
y
2.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes7.0ms (0.1%)

Memory
20.1MiB live, 20.1MiB allocated
Counts
4 → 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)))
#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.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
y
2.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
2.0ms
x
Results
AccuracySegmentsBranch
82.7%3x
78.9%3y
89.9%3(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes2.0ms (0%)

Memory
5.9MiB live, 5.9MiB 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)))
#s(approx (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (*.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
87.4%3(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes6.0ms (0.1%)

Memory
-23.4MiB live, 14.2MiB 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:

3.0ms
x
1.0ms
y
1.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Results
AccuracySegmentsBranch
54.8%1y
54.8%1x
54.8%1(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
7.14414316091111e+72
5.181479740720432e+75
0.0ms
-2.4988392184336864e+139
-1.8250581691796666e+138
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
7.14414316091111e+72
5.181479740720432e+75
0.0ms
-2.4988392184336864e+139
-1.8250581691796666e+138
Compiler

Compiled 10 to 11 computations (-10% saved)

simplify28.0ms (0.4%)

Memory
-0.9MiB live, 73.4MiB allocated
Algorithm
1×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
1×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 -20000000000000000656831249784098521579740251327192233910246268525174940137975759910880026312554548253678990095686448711572969812684229836800 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 9999999999999999830336967949613257980309080240684656321838454199566729216 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 -20000000000000000656831249784098521579740251327192233910246268525174940137975759910880026312554548253678990095686448711572969812684229836800 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 9999999999999999830336967949613257980309080240684656321838454199566729216 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 -20000000000000000656831249784098521579740251327192233910246268525174940137975759910880026312554548253678990095686448711572969812684229836800 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 9999999999999999830336967949613257980309080240684656321838454199566729216 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 -20000000000000000656831249784098521579740251327192233910246268525174940137975759910880026312554548253678990095686448711572969812684229836800 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 9999999999999999830336967949613257980309080240684656321838454199566729216 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 -20000000000000000656831249784098521579740251327192233910246268525174940137975759910880026312554548253678990095686448711572969812684229836800 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 9999999999999999830336967949613257980309080240684656321838454199566729216 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 -20000000000000000656831249784098521579740251327192233910246268525174940137975759910880026312554548253678990095686448711572969812684229836800 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 9999999999999999830336967949613257980309080240684656321838454199566729216 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)

soundness486.0ms (6.9%)

Memory
-10.6MiB live, 327.2MiB 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
034368
1108332
2189332
3514332
42408332
55858332
08081332
0615
0915
13115
219015
3149715
0960213
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 129 to 56 computations (56.6% saved)

preprocess65.0ms (0.9%)

Memory
27.9MiB live, 140.9MiB allocated
Compiler

Compiled 202 to 62 computations (69.3% saved)

end0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

Profiling

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