Statistics.Distribution.Binomial:$cvariance from math-functions-0.1.5.2

Time bar (total: 6.5s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB 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)

sample839.0ms (12.8%)

Memory
9.7MiB live, 834.4MiB allocated
Samples
515.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 268.0ms
ival-mult: 168.0ms (62.7% of total)
ival-sub: 86.0ms (32.1% of total)
ival-true: 6.0ms (2.2% of total)
exact: 5.0ms (1.9% of total)
ival-assert: 3.0ms (1.1% of total)
Bogosity

explain129.0ms (2%)

Memory
-7.3MiB live, 116.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(-.f64 #s(literal 1 binary64) y)
00-0-(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
00-0-y
00-0-#s(literal 1 binary64)
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
83.0ms512×0valid
Compiler

Compiled 45 to 22 computations (51.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-mult: 34.0ms (91.7% of total)
ival-sub: 3.0ms (8.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess105.0ms (1.6%)

Memory
-12.0MiB live, 68.3MiB allocated
Algorithm
1×egg-herbie
Rules
678×unsub-neg
464×lower-fma.f64
464×lower-fma.f32
424×distribute-lft-in
290×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01643
15637
222235
374335
4128135
5190135
6190335
7190335
067
097
1177
2407
3807
41707
52477
63557
75467
86647
97057
07057
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Outputs
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
Symmetry

(negabs x)

Compiler

Compiled 9 to 6 computations (33.3% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify56.0ms (0.9%)

Memory
-5.9MiB live, 33.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 1 binary64) y)
cost-diff0
(*.f64 x y)
cost-diff0
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Rules
464×lower-fma.f64
464×lower-fma.f32
280×lower-*.f32
276×lower-*.f64
174×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0616
0916
11716
24016
38016
417016
524716
635516
754616
866416
970516
070516
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
(*.f64 x y)
x
y
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
Outputs
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(*.f64 x y)
(*.f64 y x)
x
y
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)

localize16.0ms (0.3%)

Memory
33.5MiB live, 33.5MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 #s(literal 1 binary64) y)
accuracy0
(*.f64 x y)
accuracy0.1015625
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Samples
11.0ms256×0valid
Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (62.8% of total)
ival-sub: 1.0ms (20.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series62.0ms (0.9%)

Memory
-29.2MiB live, 10.1MiB allocated
Counts
3 → 60
Calls
Call 1
Inputs
#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())
Outputs
#s(alt (* x (* y (- 1 y))) (taylor 0 x) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor 0 x) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor 0 x) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor 0 x) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (pow y 2))) (taylor inf y) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (pow y 2))) (taylor -inf y) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor -inf y) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor -inf y) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor -inf y) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -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 (* -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 (* -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 inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
Calls

15 calls:

TimeVariablePointExpression
56.0ms
x
@-inf
(* (* x y) (- 1 y))
1.0ms
x
@inf
(* x y)
1.0ms
x
@0
(* (* x y) (- 1 y))
1.0ms
y
@0
(* (* x y) (- 1 y))
1.0ms
y
@inf
(* (* x y) (- 1 y))

simplify148.0ms (2.3%)

Memory
-22.6MiB live, 152.3MiB allocated
Algorithm
1×egg-herbie
Rules
4 438×lower-*.f64
4 438×lower-*.f32
4 216×lower-fma.f64
4 216×lower-fma.f32
1 654×cube-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027266
170266
2165266
3263266
4639266
52103266
64169266
75645266
86518266
97094266
107719266
08233266
Stop Event
1×iter limit
1×node limit
Counts
60 → 60
Calls
Call 1
Inputs
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(* -1 y)
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* -1 y)
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
Outputs
(* x (* y (- 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(* x (* y (- 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(* x (* y (- 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(* x (* y (- 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(* x (* y (- 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(* x (* y (- 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(* x (* y (- 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(* x (* y (- 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(* x (* y (- 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(* x (* y (- 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(* x (* y (- 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(* x (* y (- 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (* x y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(* y (+ x (* -1 (* x y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(* y (+ x (* -1 (* x y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(* -1 y)
(neg.f64 y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)

rewrite143.0ms (2.2%)

Memory
42.8MiB live, 235.2MiB allocated
Rules
4 316×lower-fma.f64
4 316×lower-fma.f32
3 996×lower-/.f64
3 996×lower-/.f32
3 530×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
0913
13013
216513
3134313
0956212
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
3 → 425
Calls
Call 1
Inputs
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
(*.f64 x y)
(-.f64 #s(literal 1 binary64) y)
Outputs
(*.f64 (/.f64 (*.f64 y x) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (fma.f64 y y #s(literal 1 binary64)))) (/.f64 y (-.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (/.f64 y (-.f64 #s(literal -1 binary64) (fma.f64 y y y))))
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) #s(literal 1 binary64)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (/.f64 y (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (/.f64 y (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 y y y)))))
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y y))
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (fma.f64 y y #s(literal 1 binary64)))) (/.f64 x (-.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (/.f64 x (-.f64 #s(literal -1 binary64) (fma.f64 y y y))))
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64))))) (/.f64 y (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 y y y)))))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) x) (fma.f64 (*.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y y) #s(literal 1 binary64))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y y y) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 y x) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 y x) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 y x) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 y x) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 y x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (*.f64 y x) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (fma.f64 y y #s(literal 1 binary64)))) (-.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (*.f64 y x) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))))
(*.f64 (/.f64 (*.f64 y x) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 y x) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 y y y)))))
(*.f64 (/.f64 (*.f64 y x) (fma.f64 y y #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 y (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))))) (/.f64 x (fma.f64 (*.f64 y y) y #s(literal 1 binary64))))
(*.f64 (/.f64 y (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y))))) (/.f64 x (fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 y (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) (/.f64 x (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (/.f64 y (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))))) (/.f64 x (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64))))) (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 y x) (fma.f64 (*.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y y) #s(literal 1 binary64))) (/.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y y y) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 y (fma.f64 (*.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y y) #s(literal 1 binary64))) (/.f64 (*.f64 x (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y y y) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 y (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (fma.f64 y y #s(literal 1 binary64)))) (/.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 y (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (/.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))))
(*.f64 (/.f64 y (/.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (/.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(*.f64 (/.f64 y #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
(*.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (*.f64 y x) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(*.f64 (/.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (fma.f64 y y #s(literal 1 binary64)))) (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) (-.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))))
(*.f64 (/.f64 x (/.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(*.f64 (/.f64 x (fma.f64 y y #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y))))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64))))) (/.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 y y y)))))
(*.f64 (/.f64 x (fma.f64 (*.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y y) #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y y y) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (fma.f64 y y #s(literal 1 binary64)))) (/.f64 (*.f64 y x) (-.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (/.f64 (*.f64 y x) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))))
(*.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (/.f64 (*.f64 y x) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(*.f64 (/.f64 x #s(literal 1 binary64)) (fma.f64 y y y))
(*.f64 (/.f64 x (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 y y y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))))) (/.f64 (*.f64 y x) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y))))) (/.f64 (*.f64 y x) (fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) (/.f64 (*.f64 y x) (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))))) (/.f64 (*.f64 y x) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 x (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))))) (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))))
(*.f64 (/.f64 x (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y))))) (/.f64 y (fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) (/.f64 y (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))))) (/.f64 y (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) #s(literal 1 binary64)))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(*.f64 (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y))
(*.f64 (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (/.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 y y y)))))
(*.f64 (/.f64 y (fma.f64 y y #s(literal 1 binary64))) (/.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y))))
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64))))) (/.f64 (*.f64 x (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 y y y)))))
(*.f64 (/.f64 y (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (*.f64 x (fma.f64 (*.f64 y y) y #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y)) (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 y x) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) (*.f64 x (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) (fma.f64 y y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64))))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x) (fma.f64 (*.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y y) #s(literal 1 binary64))) (fma.f64 (fma.f64 y y y) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 y y y)))))
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) (fma.f64 y y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
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(-.f64 (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))) (/.f64 (*.f64 (*.f64 y y) y) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))))) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 y y) y) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))) (/.f64 (*.f64 (*.f64 y y) y) (-.f64 #s(literal -1 binary64) (fma.f64 y y y)))) (+.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))) (/.f64 (*.f64 (*.f64 y y) y) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) y))) (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) y)) (fma.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y)) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) y))) (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) y)) (fma.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y)) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))))))
(-.f64 (/.f64 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 y y y)))) (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 y y) y) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))) (/.f64 (*.f64 (*.f64 y y) y) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))) (/.f64 (*.f64 (*.f64 y y) y) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))))))) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 y y) y) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))) (/.f64 (*.f64 (*.f64 y y) y) (-.f64 #s(literal -1 binary64) (fma.f64 y y y)))) (/.f64 (*.f64 (*.f64 y y) y) (-.f64 #s(literal -1 binary64) (fma.f64 y y y)))) (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 y y) y) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))) (/.f64 (*.f64 (*.f64 y y) y) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))) (/.f64 (*.f64 (*.f64 y y) y) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))))))))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))
(-.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) (/.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (*.f64 (*.f64 y y) y)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))) (-.f64 #s(literal -1 binary64) y))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(-.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal -1 binary64) y))
(-.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y)) (/.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y)) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))
(-.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))) (/.f64 (*.f64 (*.f64 y y) y) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y))
(-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 y))
(-.f64 #s(literal 1 binary64) y)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y))) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(+.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))) (neg.f64 (/.f64 (*.f64 (*.f64 y y) y) (-.f64 #s(literal -1 binary64) (fma.f64 y y y)))))
(+.f64 (neg.f64 y) #s(literal 1 binary64))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) (neg.f64 y))
(+.f64 #s(literal 1 binary64) y)
(+.f64 y #s(literal 1 binary64))

eval67.0ms (1%)

Memory
-20.8MiB live, 136.7MiB allocated
Compiler

Compiled 13 644 to 1 264 computations (90.7% saved)

prune89.0ms (1.4%)

Memory
10.6MiB live, 212.7MiB allocated
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New4778485
Fresh000
Picked011
Done000
Total4779486
Accuracy
100.0%
Counts
486 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.6%
(fma.f64 y x (*.f64 (*.f64 (neg.f64 y) y) x))
▶64.8%
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))
86.4%
(/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) (-.f64 #s(literal 1 binary64) y))
▶82.2%
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) y))
▶99.9%
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
✓99.8%
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
▶62.6%
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
55.4%
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x))
▶53.1%
#s(approx (* (* x y) (- 1 y)) (*.f64 y x))
Compiler

Compiled 191 to 108 computations (43.5% saved)

simplify325.0ms (5%)

Memory
17.3MiB live, 208.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (*.f64 y y) y #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y)
cost-diff0
(*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x)
cost-diff0
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))
cost-diff0
(*.f64 (fma.f64 y y #s(literal 1 binary64)) y)
cost-diff0
(-.f64 #s(literal 1 binary64) y)
cost-diff0
(/.f64 x (-.f64 #s(literal 1 binary64) y))
cost-diff0
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) y))
cost-diff0
(neg.f64 y)
cost-diff0
#s(approx (- 1 y) (neg.f64 y))
cost-diff0
(*.f64 x y)
cost-diff0
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
cost-diff0
(*.f64 y x)
cost-diff0
#s(approx (* (* x y) (- 1 y)) (*.f64 y x))
cost-diff0
(-.f64 #s(literal 1 binary64) y)
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
cost-diff0
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
Rules
25 312×lower-fma.f32
25 306×lower-fma.f64
2 916×lower-*.f32
2 896×lower-*.f64
2 288×lower-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
025146
044146
176142
2156134
3368134
4676134
5972134
62186134
74347134
85391134
96440134
106858134
116930134
126980134
136993134
147045134
157093134
167146134
177150134
187152134
197155134
207157134
217157134
08059134
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x
#s(approx (* (* x y) (- 1 y)) (*.f64 y x))
(*.f64 y x)
y
x
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
(*.f64 x y)
x
y
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
x
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(*.f64 (fma.f64 y y #s(literal 1 binary64)) y)
(fma.f64 y y #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))
(*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x)
(*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y)
(fma.f64 (*.f64 y y) y #s(literal 1 binary64))
(*.f64 y y)
y
#s(literal 1 binary64)
x
(fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) y)
Outputs
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x
#s(approx (* (* x y) (- 1 y)) (*.f64 y x))
#s(approx (* (* x y) (- 1 y)) (*.f64 x y))
(*.f64 y x)
(*.f64 x y)
y
x
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
(*.f64 #s(approx (- 1 y) (neg.f64 y)) (*.f64 x y))
(*.f64 x y)
x
y
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
x
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(*.f64 (fma.f64 y y #s(literal 1 binary64)) y)
(fma.f64 y y #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))
(*.f64 (/.f64 y (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) x))
(*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x)
(*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y)
(fma.f64 (*.f64 y y) y #s(literal 1 binary64))
(*.f64 y y)
y
#s(literal 1 binary64)
x
(fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) y)

localize69.0ms (1.1%)

Memory
-8.6MiB live, 152.6MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.0234375
(*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y)
accuracy0.04296875
(fma.f64 (*.f64 y y) y #s(literal 1 binary64))
accuracy1.8977132722338153
(*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x)
accuracy19.967325083126305
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))
accuracy0
(-.f64 #s(literal 1 binary64) y)
accuracy0.01171875
(/.f64 x (-.f64 #s(literal 1 binary64) y))
accuracy0.046875
(*.f64 (fma.f64 y y #s(literal 1 binary64)) y)
accuracy10.270227979224106
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) y))
accuracy0
(*.f64 x y)
accuracy0
(neg.f64 y)
accuracy0.1015625
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
accuracy30.31509813368503
#s(approx (- 1 y) (neg.f64 y))
accuracy0
(*.f64 y x)
accuracy29.99656734970615
#s(approx (* (* x y) (- 1 y)) (*.f64 y x))
accuracy0
(-.f64 #s(literal 1 binary64) y)
accuracy0.01171875
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
accuracy0.08203125
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
Samples
44.0ms256×0valid
Compiler

Compiled 147 to 24 computations (83.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-mult: 18.0ms (61.9% of total)
ival-div: 3.0ms (10.3% of total)
ival-add: 3.0ms (10.3% of total)
ival-neg: 3.0ms (10.3% of total)
ival-sub: 1.0ms (3.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series30.0ms (0.5%)

Memory
-18.1MiB live, 57.2MiB allocated
Counts
16 → 312
Calls
Call 1
Inputs
#s(alt (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) (patch (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())
#s(alt #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) (patch #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) #<representation binary64>) () ())
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (patch (*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())
#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) y)) (patch (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) y)) #<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 (fma.f64 y y #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (patch (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x) (patch (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) (patch (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) (patch (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) (patch (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) (patch (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) #<representation binary64>) () ())) ())
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#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) (patch (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) (patch (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) (patch (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (pow y 2))) (taylor -inf y) (#s(alt (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) (patch (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor -inf y) (#s(alt (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) (patch (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor -inf y) (#s(alt (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) (patch (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) #<representation binary64>) () ())) ())
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#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) (patch (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) (patch (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) (patch (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) (patch (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) (patch (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
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#s(alt (* y (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ x (* -1 (/ x y))))) (taylor -inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ x (* -1 (/ x y))))) (taylor -inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ x (* -1 (/ x y))))) (taylor -inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 y)) (taylor 0 x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
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#s(alt (* x (- 1 y)) (taylor 0 x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
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#s(alt (* x (- 1 y)) (taylor inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 y)) (taylor inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 y)) (taylor inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 y)) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
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#s(alt 1 (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -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 (* -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 y) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
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#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
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#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) (patch #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) (patch #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) #<representation binary64>) () ())) ())
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#s(alt (* (pow y 4) (+ x (/ x (pow y 3)))) (taylor inf y) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x) (patch (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (+ x (/ x (pow y 3)))) (taylor inf y) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x) (patch (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 4)) (taylor -inf y) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x) (patch (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (+ x (/ x (pow y 3)))) (taylor -inf y) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x) (patch (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (+ x (/ x (pow y 3)))) (taylor -inf y) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x) (patch (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (+ x (/ x (pow y 3)))) (taylor -inf y) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x) (patch (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y (+ 1 (pow y 3)))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x) (patch (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y (+ 1 (pow y 3)))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x) (patch (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y (+ 1 (pow y 3)))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x) (patch (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y (+ 1 (pow y 3)))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x) (patch (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y (+ 1 (pow y 3)))) (taylor inf x) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x) (patch (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y (+ 1 (pow y 3)))) (taylor inf x) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x) (patch (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y (+ 1 (pow y 3)))) (taylor inf x) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x) (patch (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y (+ 1 (pow y 3)))) (taylor inf x) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x) (patch (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y (+ 1 (pow y 3)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x) (patch (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y (+ 1 (pow y 3)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x) (patch (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y (+ 1 (pow y 3)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x) (patch (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y (+ 1 (pow y 3)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x) (patch (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (pow y 3))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (pow y 3))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (pow y 3))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (pow y 4) (taylor inf y) (#s(alt (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (+ 1 (/ 1 (pow y 3)))) (taylor inf y) (#s(alt (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (+ 1 (/ 1 (pow y 3)))) (taylor inf y) (#s(alt (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (+ 1 (/ 1 (pow y 3)))) (taylor inf y) (#s(alt (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (pow y 4) (taylor -inf y) (#s(alt (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (+ 1 (/ 1 (pow y 3)))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (+ 1 (/ 1 (pow y 3)))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* (pow y 4) (+ 1 (/ 1 (pow y 3)))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow y 3)) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow y 3)) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow y 3)) (taylor 0 y) (#s(alt (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor inf y) (#s(alt (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (+ 1 (/ 1 (pow y 3)))) (taylor inf y) (#s(alt (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (+ 1 (/ 1 (pow y 3)))) (taylor inf y) (#s(alt (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (+ 1 (/ 1 (pow y 3)))) (taylor inf y) (#s(alt (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor -inf y) (#s(alt (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (+ 1 (/ 1 (pow y 3)))) (taylor -inf y) (#s(alt (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (+ 1 (/ 1 (pow y 3)))) (taylor -inf y) (#s(alt (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 3) (+ 1 (/ 1 (pow y 3)))) (taylor -inf y) (#s(alt (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (patch (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
Calls

78 calls:

TimeVariablePointExpression
4.0ms
y
@inf
(* (/ x (- 1 y)) (* (+ (* y y) 1) y))
3.0ms
x
@inf
(* (* (+ (* (* y y) y) 1) y) x)
2.0ms
x
@-inf
(* (/ x (- 1 y)) (* (+ (* y y) 1) y))
1.0ms
x
@0
(/ (* (* (+ (* (* y y) y) 1) y) x) (+ (* (- 1 y) y) 1))
1.0ms
x
@0
(* (/ x (- 1 y)) (* (+ (* y y) 1) y))

simplify231.0ms (3.5%)

Memory
17.2MiB live, 330.5MiB allocated
Algorithm
1×egg-herbie
Rules
19 968×lower-fma.f64
19 968×lower-fma.f32
3 704×lower-*.f64
3 704×lower-*.f32
2 970×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01772234
15891973
216481923
363871923
083011884
Stop Event
1×iter limit
1×node limit
Counts
312 → 308
Calls
Call 1
Inputs
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
x
(+ x (* -1 (* x y)))
(+ x (* -1 (* x y)))
(+ x (* -1 (* x y)))
(* -1 (* x y))
(* y (+ (* -1 x) (/ x y)))
(* y (+ (* -1 x) (/ x y)))
(* y (+ (* -1 x) (/ x y)))
(* -1 (* x y))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(* -1 y)
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* -1 y)
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(* -1 y)
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* -1 y)
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(* x y)
(* y (+ x (* x y)))
(* y (+ x (* y (- (* y (- x (* -1 x))) (* -1 x)))))
(* y (+ x (* y (- (* y (- (+ x (* y (- x (* -1 x)))) (* -1 x))) (* -1 x)))))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y))))
(* (pow y 2) (- (+ (* -1 x) (* -1 (/ x (pow y 2)))) (+ (/ x y) (/ x (pow y 2)))))
(* (pow y 2) (- (+ (* -1 x) (+ (* -1 (/ x (pow y 2))) (* -1 (/ x (pow y 3))))) (+ (/ x y) (+ (/ x (pow y 2)) (/ x (pow y 3))))))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y))))
(* (pow y 2) (+ (* -1 x) (* -1 (/ (- (+ x (/ x y)) (* -1 (/ x y))) y))))
(* (pow y 2) (+ (* -1 x) (* -1 (/ (+ x (* -1 (/ (- (+ (* -1 (- x (* -1 x))) (* -1 (/ x y))) (/ x y)) y))) y))))
(/ x (- 1 y))
(/ x (- 1 y))
(/ x (- 1 y))
(/ x (- 1 y))
(/ x (- 1 y))
(/ x (- 1 y))
(/ x (- 1 y))
(/ x (- 1 y))
(/ x (- 1 y))
(/ x (- 1 y))
(/ x (- 1 y))
(/ x (- 1 y))
x
(+ x (* x y))
(+ x (* y (- (* x y) (* -1 x))))
(+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x))))
(* -1 (/ x y))
(/ (+ (* -1 x) (* -1 (/ x y))) y)
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 2)))) (/ x y)) y)
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 3)))) (+ (/ x y) (/ x (pow y 2)))) y)
(* -1 (/ x y))
(* -1 (/ (+ x (/ x y)) y))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x y)) x) y))) y))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ x y) (* -1 x)) y)) x) y))) y))
y
(* y (+ 1 (pow y 2)))
(* y (+ 1 (pow y 2)))
(* y (+ 1 (pow y 2)))
(pow y 3)
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(pow y 3)
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* y (- (* 2 (* x y)) x))))
(* y (+ x (* y (- (* y (- (* -2 (* x y)) (* -2 x))) x))))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y))))
(* (pow y 2) (- (+ (* -2 (/ x (pow y 2))) (* -1 x)) (/ x y)))
(* (pow y 2) (- (+ (* -1 x) (* -1 (/ x (pow y 3)))) (+ (* 2 (/ x (pow y 2))) (+ (* 2 (/ x (pow y 3))) (+ (/ x y) (/ x (pow y 3)))))))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y))))
(* (pow y 2) (+ (* -1 x) (* -1 (/ (+ x (* 2 (/ x y))) y))))
(* (pow y 2) (+ (* -1 x) (* -1 (/ (+ x (* -1 (/ (- (+ (* -2 x) (* -1 (/ x y))) (+ (* 2 (/ x y)) (/ x y))) y))) y))))
(/ (* x (* y (+ 1 (pow y 3)))) (+ 1 (* y (- 1 y))))
(/ (* x (* y (+ 1 (pow y 3)))) (+ 1 (* y (- 1 y))))
(/ (* x (* y (+ 1 (pow y 3)))) (+ 1 (* y (- 1 y))))
(/ (* x (* y (+ 1 (pow y 3)))) (+ 1 (* y (- 1 y))))
(/ (* x (* y (+ 1 (pow y 3)))) (+ 1 (* y (- 1 y))))
(/ (* x (* y (+ 1 (pow y 3)))) (+ 1 (* y (- 1 y))))
(/ (* x (* y (+ 1 (pow y 3)))) (+ 1 (* y (- 1 y))))
(/ (* x (* y (+ 1 (pow y 3)))) (+ 1 (* y (- 1 y))))
(/ (* x (* y (+ 1 (pow y 3)))) (+ 1 (* y (- 1 y))))
(/ (* x (* y (+ 1 (pow y 3)))) (+ 1 (* y (- 1 y))))
(/ (* x (* y (+ 1 (pow y 3)))) (+ 1 (* y (- 1 y))))
(/ (* x (* y (+ 1 (pow y 3)))) (+ 1 (* y (- 1 y))))
(* x y)
(* y (+ x (* x (pow y 3))))
(* y (+ x (* x (pow y 3))))
(* y (+ x (* x (pow y 3))))
(* x (pow y 4))
(* (pow y 4) (+ x (/ x (pow y 3))))
(* (pow y 4) (+ x (/ x (pow y 3))))
(* (pow y 4) (+ x (/ x (pow y 3))))
(* x (pow y 4))
(* (pow y 4) (+ x (/ x (pow y 3))))
(* (pow y 4) (+ x (/ x (pow y 3))))
(* (pow y 4) (+ x (/ x (pow y 3))))
(* x (* y (+ 1 (pow y 3))))
(* x (* y (+ 1 (pow y 3))))
(* x (* y (+ 1 (pow y 3))))
(* x (* y (+ 1 (pow y 3))))
(* x (* y (+ 1 (pow y 3))))
(* x (* y (+ 1 (pow y 3))))
(* x (* y (+ 1 (pow y 3))))
(* x (* y (+ 1 (pow y 3))))
(* x (* y (+ 1 (pow y 3))))
(* x (* y (+ 1 (pow y 3))))
(* x (* y (+ 1 (pow y 3))))
(* x (* y (+ 1 (pow y 3))))
y
(* y (+ 1 (pow y 3)))
(* y (+ 1 (pow y 3)))
(* y (+ 1 (pow y 3)))
(pow y 4)
(* (pow y 4) (+ 1 (/ 1 (pow y 3))))
(* (pow y 4) (+ 1 (/ 1 (pow y 3))))
(* (pow y 4) (+ 1 (/ 1 (pow y 3))))
(pow y 4)
(* (pow y 4) (+ 1 (/ 1 (pow y 3))))
(* (pow y 4) (+ 1 (/ 1 (pow y 3))))
(* (pow y 4) (+ 1 (/ 1 (pow y 3))))
1
(+ 1 (pow y 3))
(+ 1 (pow y 3))
(+ 1 (pow y 3))
(pow y 3)
(* (pow y 3) (+ 1 (/ 1 (pow y 3))))
(* (pow y 3) (+ 1 (/ 1 (pow y 3))))
(* (pow y 3) (+ 1 (/ 1 (pow y 3))))
(pow y 3)
(* (pow y 3) (+ 1 (/ 1 (pow y 3))))
(* (pow y 3) (+ 1 (/ 1 (pow y 3))))
(* (pow y 3) (+ 1 (/ 1 (pow y 3))))
Outputs
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (* x y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* y (+ x (* -1 (* x y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* y (+ x (* -1 (* x y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x (* y (- 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x (* y (- 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x (* y (- 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x (* y (- 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x (* y (- 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x (* y (- 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x (* y (- 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x (* y (- 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x (* y (- 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x (* y (- 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x (* y (- 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x (* y (- 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
x
(+ x (* -1 (* x y)))
(-.f64 x (*.f64 y x))
(+ x (* -1 (* x y)))
(-.f64 x (*.f64 y x))
(+ x (* -1 (* x y)))
(-.f64 x (*.f64 y x))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* y (+ (* -1 x) (/ x y)))
(-.f64 x (*.f64 y x))
(* y (+ (* -1 x) (/ x y)))
(-.f64 x (*.f64 y x))
(* y (+ (* -1 x) (/ x y)))
(-.f64 x (*.f64 y x))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* y (+ x (* -1 (/ x y)))))
(-.f64 x (*.f64 y x))
(* -1 (* y (+ x (* -1 (/ x y)))))
(-.f64 x (*.f64 y x))
(* -1 (* y (+ x (* -1 (/ x y)))))
(-.f64 x (*.f64 y x))
(* x (- 1 y))
(-.f64 x (*.f64 y x))
(* x (- 1 y))
(-.f64 x (*.f64 y x))
(* x (- 1 y))
(-.f64 x (*.f64 y x))
(* x (- 1 y))
(-.f64 x (*.f64 y x))
(* x (- 1 y))
(-.f64 x (*.f64 y x))
(* x (- 1 y))
(-.f64 x (*.f64 y x))
(* x (- 1 y))
(-.f64 x (*.f64 y x))
(* x (- 1 y))
(-.f64 x (*.f64 y x))
(* x (- 1 y))
(-.f64 x (*.f64 y x))
(* x (- 1 y))
(-.f64 x (*.f64 y x))
(* x (- 1 y))
(-.f64 x (*.f64 y x))
(* x (- 1 y))
(-.f64 x (*.f64 y x))
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(* -1 y)
(neg.f64 y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* x (* y (- 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x (* y (- 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x (* y (- 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x (* y (- 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x (* y (- 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x (* y (- 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x (* y (- 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x (* y (- 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x (* y (- 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x (* y (- 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x (* y (- 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x (* y (- 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (* x y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* y (+ x (* -1 (* x y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* y (+ x (* -1 (* x y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x (* y (- 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x (* y (- 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x (* y (- 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x (* y (- 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x (* y (- 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x (* y (- 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x (* y (- 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x (* y (- 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x (* y (- 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x (* y (- 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x (* y (- 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x (* y (- 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (* x y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* y (+ x (* -1 (* x y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* y (+ x (* -1 (* x y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(* -1 y)
(neg.f64 y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
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(neg.f64 y)
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(neg.f64 y)
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(neg.f64 y)
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(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x y)
(*.f64 y x)
(* y (+ x (* x y)))
(*.f64 (fma.f64 y x x) y)
(* y (+ x (* y (- (* y (- x (* -1 x))) (* -1 x)))))
(*.f64 (fma.f64 (fma.f64 (+.f64 x x) y x) y x) y)
(* y (+ x (* y (- (* y (- (+ x (* y (- x (* -1 x)))) (* -1 x))) (* -1 x)))))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 y x x)) y x) y x) y)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y))))
(neg.f64 (*.f64 (fma.f64 y x x) y))
(* (pow y 2) (- (+ (* -1 x) (* -1 (/ x (pow y 2)))) (+ (/ x y) (/ x (pow y 2)))))
(fma.f64 (/.f64 #s(literal -2 binary64) y) (*.f64 y x) (neg.f64 (*.f64 (fma.f64 y x x) y)))
(* (pow y 2) (- (+ (* -1 x) (+ (* -1 (/ x (pow y 2))) (* -1 (/ x (pow y 3))))) (+ (/ x y) (+ (/ x (pow y 2)) (/ x (pow y 3))))))
(*.f64 (*.f64 (-.f64 (fma.f64 (/.f64 x (*.f64 y y)) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 2 binary64)) (neg.f64 x)) (/.f64 (+.f64 (/.f64 x (*.f64 y y)) x) y)) y) y)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y))))
(neg.f64 (*.f64 (fma.f64 y x x) y))
(* (pow y 2) (+ (* -1 x) (* -1 (/ (- (+ x (/ x y)) (* -1 (/ x y))) y))))
(fma.f64 (/.f64 #s(literal -2 binary64) y) (*.f64 y x) (neg.f64 (*.f64 (fma.f64 y x x) y)))
(* (pow y 2) (+ (* -1 x) (* -1 (/ (+ x (* -1 (/ (- (+ (* -1 (- x (* -1 x))) (* -1 (/ x y))) (/ x y)) y))) y))))
(*.f64 (-.f64 (/.f64 (-.f64 (neg.f64 x) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) x (+.f64 x x)) y)) y) x) (*.f64 y y))
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(/ x (- 1 y))
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(/ x (- 1 y))
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(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
x
(+ x (* x y))
(fma.f64 y x x)
(+ x (* y (- (* x y) (* -1 x))))
(fma.f64 (fma.f64 y x x) y x)
(+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x))))
(fma.f64 (fma.f64 (fma.f64 y x x) y x) y x)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(/ (+ (* -1 x) (* -1 (/ x y))) y)
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(/ (- (+ (* -1 x) (* -1 (/ x (pow y 2)))) (/ x y)) y)
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(/ (- (+ (* -1 x) (* -1 (/ x (pow y 3)))) (+ (/ x y) (/ x (pow y 2)))) y)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (neg.f64 x) y) x) y) x) y) x) y)
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(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (neg.f64 x) y) x) y) x) y)
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(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (neg.f64 x) y) x) y) x) y) x) y)
y
(* y (+ 1 (pow y 2)))
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(* y (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) y)
(* y (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) y)
(pow y 3)
(*.f64 (*.f64 y y) y)
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) y)
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(*.f64 (fma.f64 y y #s(literal 1 binary64)) y)
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) y)
(pow y 3)
(*.f64 (*.f64 y y) y)
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) y)
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) y)
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) y)
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (* x y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* y (+ x (* y (- (* 2 (* x y)) x))))
(*.f64 (fma.f64 (fma.f64 (+.f64 x x) y (neg.f64 x)) y x) y)
(* y (+ x (* y (- (* y (- (* -2 (* x y)) (* -2 x))) x))))
(*.f64 (fma.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal -2 binary64) y #s(literal 2 binary64))) y (neg.f64 x)) y x) y)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y))))
(neg.f64 (*.f64 (fma.f64 y x x) y))
(* (pow y 2) (- (+ (* -2 (/ x (pow y 2))) (* -1 x)) (/ x y)))
(fma.f64 (/.f64 #s(literal -2 binary64) y) (*.f64 y x) (neg.f64 (*.f64 (fma.f64 y x x) y)))
(* (pow y 2) (- (+ (* -1 x) (* -1 (/ x (pow y 3)))) (+ (* 2 (/ x (pow y 2))) (+ (* 2 (/ x (pow y 3))) (+ (/ x y) (/ x (pow y 3)))))))
(*.f64 (fma.f64 (/.f64 x (*.f64 y y)) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 2 binary64)) (neg.f64 (+.f64 (fma.f64 #s(literal 3 binary64) (/.f64 x (*.f64 (*.f64 y y) y)) (/.f64 x y)) x))) (*.f64 y y))
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y))))
(neg.f64 (*.f64 (fma.f64 y x x) y))
(* (pow y 2) (+ (* -1 x) (* -1 (/ (+ x (* 2 (/ x y))) y))))
(fma.f64 (/.f64 #s(literal -2 binary64) y) (*.f64 y x) (neg.f64 (*.f64 (fma.f64 y x x) y)))
(* (pow y 2) (+ (* -1 x) (* -1 (/ (+ x (* -1 (/ (- (+ (* -2 x) (* -1 (/ x y))) (+ (* 2 (/ x y)) (/ x y))) y))) y))))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) (+.f64 x x)) y) x) (neg.f64 y)) x) (*.f64 y y))
(/ (* x (* y (+ 1 (pow y 3)))) (+ 1 (* y (- 1 y))))
(*.f64 (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y))
(/ (* x (* y (+ 1 (pow y 3)))) (+ 1 (* y (- 1 y))))
(*.f64 (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y))
(/ (* x (* y (+ 1 (pow y 3)))) (+ 1 (* y (- 1 y))))
(*.f64 (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y))
(/ (* x (* y (+ 1 (pow y 3)))) (+ 1 (* y (- 1 y))))
(*.f64 (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y))
(/ (* x (* y (+ 1 (pow y 3)))) (+ 1 (* y (- 1 y))))
(*.f64 (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y))
(/ (* x (* y (+ 1 (pow y 3)))) (+ 1 (* y (- 1 y))))
(*.f64 (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y))
(/ (* x (* y (+ 1 (pow y 3)))) (+ 1 (* y (- 1 y))))
(*.f64 (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y))
(/ (* x (* y (+ 1 (pow y 3)))) (+ 1 (* y (- 1 y))))
(*.f64 (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y))
(/ (* x (* y (+ 1 (pow y 3)))) (+ 1 (* y (- 1 y))))
(*.f64 (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y))
(/ (* x (* y (+ 1 (pow y 3)))) (+ 1 (* y (- 1 y))))
(*.f64 (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y))
(/ (* x (* y (+ 1 (pow y 3)))) (+ 1 (* y (- 1 y))))
(*.f64 (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y))
(/ (* x (* y (+ 1 (pow y 3)))) (+ 1 (* y (- 1 y))))
(*.f64 (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y))
(* x y)
(*.f64 y x)
(* y (+ x (* x (pow y 3))))
(*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x)
(* y (+ x (* x (pow y 3))))
(*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x)
(* y (+ x (* x (pow y 3))))
(*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x)
(* x (pow y 4))
(*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) x)
(* (pow y 4) (+ x (/ x (pow y 3))))
(*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x)
(* (pow y 4) (+ x (/ x (pow y 3))))
(*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x)
(* (pow y 4) (+ x (/ x (pow y 3))))
(*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x)
(* x (pow y 4))
(*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) x)
(* (pow y 4) (+ x (/ x (pow y 3))))
(*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x)
(* (pow y 4) (+ x (/ x (pow y 3))))
(*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x)
(* (pow y 4) (+ x (/ x (pow y 3))))
(*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x)
(* x (* y (+ 1 (pow y 3))))
(*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x)
(* x (* y (+ 1 (pow y 3))))
(*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x)
(* x (* y (+ 1 (pow y 3))))
(*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x)
(* x (* y (+ 1 (pow y 3))))
(*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x)
(* x (* y (+ 1 (pow y 3))))
(*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x)
(* x (* y (+ 1 (pow y 3))))
(*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x)
(* x (* y (+ 1 (pow y 3))))
(*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x)
(* x (* y (+ 1 (pow y 3))))
(*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x)
(* x (* y (+ 1 (pow y 3))))
(*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x)
(* x (* y (+ 1 (pow y 3))))
(*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x)
(* x (* y (+ 1 (pow y 3))))
(*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x)
(* x (* y (+ 1 (pow y 3))))
(*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x)
y
(* y (+ 1 (pow y 3)))
(*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y)
(* y (+ 1 (pow y 3)))
(*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y)
(* y (+ 1 (pow y 3)))
(*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y)
(pow y 4)
(*.f64 (*.f64 (*.f64 y y) y) y)
(* (pow y 4) (+ 1 (/ 1 (pow y 3))))
(*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y)
(* (pow y 4) (+ 1 (/ 1 (pow y 3))))
(*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y)
(* (pow y 4) (+ 1 (/ 1 (pow y 3))))
(*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y)
(pow y 4)
(*.f64 (*.f64 (*.f64 y y) y) y)
(* (pow y 4) (+ 1 (/ 1 (pow y 3))))
(*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y)
(* (pow y 4) (+ 1 (/ 1 (pow y 3))))
(*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y)
(* (pow y 4) (+ 1 (/ 1 (pow y 3))))
(*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y)
1
#s(literal 1 binary64)
(+ 1 (pow y 3))
(fma.f64 (*.f64 y y) y #s(literal 1 binary64))
(+ 1 (pow y 3))
(fma.f64 (*.f64 y y) y #s(literal 1 binary64))
(+ 1 (pow y 3))
(fma.f64 (*.f64 y y) y #s(literal 1 binary64))
(pow y 3)
(*.f64 (*.f64 y y) y)
(* (pow y 3) (+ 1 (/ 1 (pow y 3))))
(fma.f64 (*.f64 y y) y #s(literal 1 binary64))
(* (pow y 3) (+ 1 (/ 1 (pow y 3))))
(fma.f64 (*.f64 y y) y #s(literal 1 binary64))
(* (pow y 3) (+ 1 (/ 1 (pow y 3))))
(fma.f64 (*.f64 y y) y #s(literal 1 binary64))
(pow y 3)
(*.f64 (*.f64 y y) y)
(* (pow y 3) (+ 1 (/ 1 (pow y 3))))
(fma.f64 (*.f64 y y) y #s(literal 1 binary64))
(* (pow y 3) (+ 1 (/ 1 (pow y 3))))
(fma.f64 (*.f64 y y) y #s(literal 1 binary64))
(* (pow y 3) (+ 1 (/ 1 (pow y 3))))
(fma.f64 (*.f64 y y) y #s(literal 1 binary64))

rewrite217.0ms (3.3%)

Memory
26.0MiB live, 304.7MiB allocated
Rules
5 534×lower-fma.f32
5 528×lower-fma.f64
5 342×lower-*.f32
5 322×lower-*.f64
4 642×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025114
044110
1134102
2855102
08599102
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
16 → 931
Calls
Call 1
Inputs
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(-.f64 #s(literal 1 binary64) y)
#s(approx (* (* x y) (- 1 y)) (*.f64 y x))
(*.f64 y x)
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
(*.f64 x y)
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) y)
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))
(*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x)
(*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y)
(fma.f64 (*.f64 y y) y #s(literal 1 binary64))
Outputs
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) y)
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) x) y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y)) x) y) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (*.f64 x y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) (*.f64 x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y) #s(literal 1 binary64))
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)
(*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) y))
(*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y))
(*.f64 y (*.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y))
(/.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y))) x) (+.f64 y #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) x) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) y) (+.f64 y #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) y) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 x y)) (+.f64 #s(literal -1 binary64) (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) (*.f64 x y)) (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 x y) (+.f64 #s(literal -1 binary64) (*.f64 y y))) (+.f64 #s(literal -1 binary64) (neg.f64 y)))
(/.f64 (*.f64 (*.f64 x y) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y)))) (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))
(/.f64 (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) y)) (+.f64 y #s(literal 1 binary64)))
(/.f64 (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y)) y)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))
(/.f64 (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) x)) (+.f64 y #s(literal 1 binary64)))
(/.f64 (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y)) x)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) (*.f64 (*.f64 (neg.f64 x) y) y))) (-.f64 (*.f64 x y) (*.f64 (*.f64 (neg.f64 x) y) y)))
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 x) y) y) #s(literal 3 binary64))) (fma.f64 (*.f64 x y) (*.f64 x y) (-.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) (*.f64 (*.f64 (neg.f64 x) y) y)) (*.f64 (*.f64 x y) (*.f64 (*.f64 (neg.f64 x) y) y)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) x) y)) (+.f64 #s(literal -1 binary64) (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y)) x) y)) (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (+.f64 #s(literal -1 binary64) (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y)))) (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) x) y) (+.f64 y #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y)) x) y) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 y #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))
(/.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) x) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y)) x) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y)))))
(fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1 binary64) (*.f64 x y))
(fma.f64 (*.f64 (neg.f64 x) y) y (*.f64 x y))
(fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 x y))
(fma.f64 #s(literal -1 binary64) (*.f64 y (*.f64 x y)) (*.f64 x y))
(fma.f64 (neg.f64 y) (*.f64 x y) (*.f64 x y))
(fma.f64 (*.f64 x y) (neg.f64 y) (*.f64 x y))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) y) y))
(fma.f64 x (*.f64 (neg.f64 y) y) (*.f64 x y))
(fma.f64 x y (*.f64 (*.f64 (neg.f64 x) y) y))
(fma.f64 y (*.f64 (neg.f64 x) y) (*.f64 x y))
(fma.f64 y x (*.f64 (*.f64 (neg.f64 x) y) y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 (*.f64 (neg.f64 x) y) y))
(+.f64 (*.f64 (*.f64 (neg.f64 x) y) y) (*.f64 x y))
(+.f64 (*.f64 x y) (*.f64 (*.f64 (neg.f64 x) y) y))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) x) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y)) x) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) x))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) x) (+.f64 #s(literal -1 binary64) (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) x) (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y y) y #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y) #s(literal -1 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y #s(literal -1 binary64)))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y y) y #s(literal -1 binary64)) (*.f64 y (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y #s(literal -1 binary64)))) (*.f64 y (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1 binary64)))))
(fma.f64 (*.f64 y (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64)) y)
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 y y) y) y))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) y) y)
(fma.f64 #s(literal -1 binary64) (neg.f64 y) (*.f64 (*.f64 (*.f64 y y) y) y))
(fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1 binary64) y)
(fma.f64 (*.f64 (*.f64 y y) y) y y)
(fma.f64 (*.f64 y y) (*.f64 y y) y)
(fma.f64 (neg.f64 y) #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 y y) y) y))
(fma.f64 y (*.f64 (*.f64 y y) y) y)
(fma.f64 y #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) y))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) y) y)
(fma.f64 #s(literal 1 binary64) y (*.f64 (*.f64 (*.f64 y y) y) y))
(+.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y)
(+.f64 y (*.f64 (*.f64 (*.f64 y y) y) y))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))))
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (neg.f64 y) #s(literal 1 binary64))))
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y #s(literal -1 binary64)))))))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal -1 binary64))))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y #s(literal -1 binary64))))))
(*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y y) y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal -1 binary64)))))
(*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal -1 binary64)))) (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) y) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) y)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal -1 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 (*.f64 y y) y) y) (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) y) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) y)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y #s(literal -1 binary64)))))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 27 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y #s(literal -1 binary64)))))) (-.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) y) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) y)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) y) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) (*.f64 (*.f64 (*.f64 y y) y) y))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) y) (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) y) (fma.f64 (*.f64 y y) y #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal -1 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) y) (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) y) (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) y) (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) y) (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) y) (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (*.f64 y y) (neg.f64 y) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) y))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) y) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) y)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) y) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 (*.f64 y y) y) y) (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64))) (fma.f64 (*.f64 y y) y #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) y) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) y)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) y) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y #s(literal -1 binary64))))))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 27 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) y) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) y)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) y) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) (*.f64 (*.f64 (*.f64 y y) y) y))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y #s(literal -1 binary64))))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) y #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) y #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) y) (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 y y) y #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 y y) y #s(literal -1 binary64)) (fma.f64 (*.f64 y y) y #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) y)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y)))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y) #s(literal -1 binary64))) (fma.f64 (*.f64 y y) (neg.f64 y) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y #s(literal -1 binary64))))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y) #s(literal -1 binary64)) (fma.f64 (*.f64 y y) y #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) (*.f64 (*.f64 (*.f64 y y) y) y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))))
(neg.f64 (fma.f64 (*.f64 (neg.f64 y) y) y #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (*.f64 y y) #s(literal 3/4 binary64)) (pow.f64 (*.f64 y y) #s(literal 3/4 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) y) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal -1 binary64)))))
(fma.f64 (*.f64 (*.f64 y y) y) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 y y) y) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) y #s(literal 1 binary64))
(fma.f64 y (*.f64 y y) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) y) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) y) (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal -1 binary64))))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) y) (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal -1 binary64)))))
(+.f64 (*.f64 (*.f64 y y) y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))

eval271.0ms (4.2%)

Memory
-21.3MiB live, 487.4MiB allocated
Compiler

Compiled 31 325 to 2 697 computations (91.4% saved)

prune195.0ms (3%)

Memory
2.7MiB live, 470.6MiB allocated
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1 39051 395
Fresh213
Picked325
Done011
Total1 39591 404
Accuracy
100.0%
Counts
1 404 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶86.0%
(fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 x y))
86.4%
(/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) (-.f64 #s(literal 1 binary64) y))
▶99.9%
(*.f64 (fma.f64 (neg.f64 y) x x) y)
▶99.8%
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)))) y)
▶46.8%
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) #s(approx (* (+ (* y y) 1) y) (*.f64 (*.f64 y y) y)))
▶55.4%
(*.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) y) x)
✓99.8%
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
✓62.6%
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
✓53.1%
#s(approx (* (* x y) (- 1 y)) (*.f64 y x))
Compiler

Compiled 160 to 94 computations (41.3% saved)

simplify64.0ms (1%)

Memory
-11.8MiB live, 27.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 y #s(literal 1 binary64))
cost-diff0
(/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)))
cost-diff0
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)))) y)
cost-diff1088
(/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))))
cost-diff0
#s(approx (* (+ (* y y) 1) y) (*.f64 (*.f64 y y) y))
cost-diff0
(-.f64 #s(literal 1 binary64) y)
cost-diff0
(/.f64 x (-.f64 #s(literal 1 binary64) y))
cost-diff0
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) #s(approx (* (+ (* y y) 1) y) (*.f64 (*.f64 y y) y)))
cost-diff0
(*.f64 x y)
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 (neg.f64 y) y)
cost-diff320
(fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 x y))
cost-diff0
(neg.f64 y)
cost-diff0
#s(approx (- 1 y) (neg.f64 y))
cost-diff0
(*.f64 #s(approx (- 1 y) (neg.f64 y)) y)
cost-diff0
(*.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) y) x)
cost-diff0
(neg.f64 y)
cost-diff0
(fma.f64 (neg.f64 y) x x)
cost-diff0
(*.f64 (fma.f64 (neg.f64 y) x x) y)
Rules
952×lower-fma.f32
948×lower-fma.f64
696×lower-*.f32
680×lower-*.f64
484×unsub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
027143
046137
181131
2156127
3284127
4498127
51054127
61836127
72388127
82485127
92516127
102532127
112533127
02533127
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (fma.f64 (neg.f64 y) x x) y)
(fma.f64 (neg.f64 y) x x)
(neg.f64 y)
y
x
(*.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) y) x)
(*.f64 #s(approx (- 1 y) (neg.f64 y)) y)
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)
y
x
(fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 x y))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
x
(*.f64 x y)
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) #s(approx (* (+ (* y y) 1) y) (*.f64 (*.f64 y y) y)))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
x
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
#s(approx (* (+ (* y y) 1) y) (*.f64 (*.f64 y y) y))
(*.f64 (*.f64 y y) y)
(*.f64 y y)
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)))) y)
(/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))))
x
(/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)))
#s(literal -1 binary64)
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
Outputs
(*.f64 (fma.f64 (neg.f64 y) x x) y)
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(fma.f64 (neg.f64 y) x x)
(fma.f64 x (neg.f64 y) x)
(neg.f64 y)
y
x
(*.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) y) x)
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
(*.f64 #s(approx (- 1 y) (neg.f64 y)) y)
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)
y
x
(fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 x y))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
x
(*.f64 x y)
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) #s(approx (* (+ (* y y) 1) y) (*.f64 (*.f64 y y) y)))
(*.f64 #s(approx (* (+ (* y y) 1) y) (*.f64 (*.f64 y y) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
x
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
#s(approx (* (+ (* y y) 1) y) (*.f64 (*.f64 y y) y))
(*.f64 (*.f64 y y) y)
(*.f64 y y)
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)))) y)
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))))
(fma.f64 x (neg.f64 y) x)
x
(/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)))
#s(literal -1 binary64)
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)

localize77.0ms (1.2%)

Memory
18.2MiB live, 135.4MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 y #s(literal 1 binary64))
accuracy0.01171875
(/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)))
accuracy0.08203125
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)))) y)
accuracy0.09765625
(/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))))
accuracy0.01171875
(/.f64 x (-.f64 #s(literal 1 binary64) y))
accuracy0.078125
(*.f64 (*.f64 y y) y)
accuracy10.270227979224106
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) #s(approx (* (+ (* y y) 1) y) (*.f64 (*.f64 y y) y)))
accuracy29.434854225718077
#s(approx (* (+ (* y y) 1) y) (*.f64 (*.f64 y y) y))
accuracy0
(*.f64 (neg.f64 y) y)
accuracy0
(*.f64 x y)
accuracy0
(neg.f64 y)
accuracy8.982518328309403
(fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 x y))
accuracy0
(neg.f64 y)
accuracy0.00390625
(*.f64 #s(approx (- 1 y) (neg.f64 y)) y)
accuracy4.724743672094485
(*.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) y) x)
accuracy30.31509813368503
#s(approx (- 1 y) (neg.f64 y))
accuracy0
(fma.f64 (neg.f64 y) x x)
accuracy0
(neg.f64 y)
accuracy0.08203125
(*.f64 (fma.f64 (neg.f64 y) x x) y)
Samples
47.0ms256×0valid
Compiler

Compiled 127 to 27 computations (78.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-mult: 20.0ms (61.8% of total)
ival-div: 5.0ms (15.4% of total)
ival-add: 3.0ms (9.3% of total)
ival-sub: 2.0ms (6.2% of total)
ival-neg: 1.0ms (3.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series23.0ms (0.4%)

Memory
-8.3MiB live, 28.5MiB allocated
Counts
18 → 324
Calls
Call 1
Inputs
#s(alt (*.f64 (fma.f64 (neg.f64 y) x x) y) (patch (*.f64 (fma.f64 (neg.f64 y) x x) y) #<representation binary64>) () ())
#s(alt (fma.f64 (neg.f64 y) x x) (patch (fma.f64 (neg.f64 y) x x) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) y) x) (patch (*.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) y) x) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (- 1 y) (neg.f64 y)) y) (patch (*.f64 #s(approx (- 1 y) (neg.f64 y)) y) #<representation binary64>) () ())
#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 x y)) (patch (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 x y)) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) #s(approx (* (+ (* y y) 1) y) (*.f64 (*.f64 y y) y))) (patch (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) #s(approx (* (+ (* y y) 1) y) (*.f64 (*.f64 y y) y))) #<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 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())
#s(alt #s(approx (* (+ (* y y) 1) y) (*.f64 (*.f64 y y) y)) (patch #s(approx (* (+ (* y y) 1) y) (*.f64 (*.f64 y y) y)) #<representation binary64>) () ())
#s(alt (/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)))) y) (patch (*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)))) y) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (patch (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 y y) y) (patch (*.f64 (*.f64 y y) y) #<representation binary64>) () ())
Outputs
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (neg.f64 y) x x) y) (patch (*.f64 (fma.f64 (neg.f64 y) x x) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (neg.f64 y) x x) y) (patch (*.f64 (fma.f64 (neg.f64 y) x x) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (neg.f64 y) x x) y) (patch (*.f64 (fma.f64 (neg.f64 y) x x) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 (neg.f64 y) x x) y) (patch (*.f64 (fma.f64 (neg.f64 y) x x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (pow y 2))) (taylor inf y) (#s(alt (*.f64 (fma.f64 (neg.f64 y) x x) y) (patch (*.f64 (fma.f64 (neg.f64 y) x x) y) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt (*.f64 (fma.f64 (neg.f64 y) x x) y) (patch (*.f64 (fma.f64 (neg.f64 y) x x) y) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt (*.f64 (fma.f64 (neg.f64 y) x x) y) (patch (*.f64 (fma.f64 (neg.f64 y) x x) y) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt (*.f64 (fma.f64 (neg.f64 y) x x) y) (patch (*.f64 (fma.f64 (neg.f64 y) x x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (pow y 2))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 (neg.f64 y) x x) y) (patch (*.f64 (fma.f64 (neg.f64 y) x x) y) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 (neg.f64 y) x x) y) (patch (*.f64 (fma.f64 (neg.f64 y) x x) y) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 (neg.f64 y) x x) y) (patch (*.f64 (fma.f64 (neg.f64 y) x x) y) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 (neg.f64 y) x x) y) (patch (*.f64 (fma.f64 (neg.f64 y) x x) y) #<representation binary64>) () ())) ())
#s(alt (* x (* y (+ 1 (* -1 y)))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (neg.f64 y) x x) y) (patch (*.f64 (fma.f64 (neg.f64 y) x x) y) #<representation binary64>) () ())) ())
#s(alt (* x (* y (+ 1 (* -1 y)))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (neg.f64 y) x x) y) (patch (*.f64 (fma.f64 (neg.f64 y) x x) y) #<representation binary64>) () ())) ())
#s(alt (* x (* y (+ 1 (* -1 y)))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (neg.f64 y) x x) y) (patch (*.f64 (fma.f64 (neg.f64 y) x x) y) #<representation binary64>) () ())) ())
#s(alt (* x (* y (+ 1 (* -1 y)))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 (neg.f64 y) x x) y) (patch (*.f64 (fma.f64 (neg.f64 y) x x) y) #<representation binary64>) () ())) ())
#s(alt (* x (* y (+ 1 (* -1 y)))) (taylor inf x) (#s(alt (*.f64 (fma.f64 (neg.f64 y) x x) y) (patch (*.f64 (fma.f64 (neg.f64 y) x x) y) #<representation binary64>) () ())) ())
#s(alt (* x (* y (+ 1 (* -1 y)))) (taylor inf x) (#s(alt (*.f64 (fma.f64 (neg.f64 y) x x) y) (patch (*.f64 (fma.f64 (neg.f64 y) x x) y) #<representation binary64>) () ())) ())
#s(alt (* x (* y (+ 1 (* -1 y)))) (taylor inf x) (#s(alt (*.f64 (fma.f64 (neg.f64 y) x x) y) (patch (*.f64 (fma.f64 (neg.f64 y) x x) y) #<representation binary64>) () ())) ())
#s(alt (* x (* y (+ 1 (* -1 y)))) (taylor inf x) (#s(alt (*.f64 (fma.f64 (neg.f64 y) x x) y) (patch (*.f64 (fma.f64 (neg.f64 y) x x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y (- y 1)))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (neg.f64 y) x x) y) (patch (*.f64 (fma.f64 (neg.f64 y) x x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y (- y 1)))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (neg.f64 y) x x) y) (patch (*.f64 (fma.f64 (neg.f64 y) x x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y (- y 1)))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (neg.f64 y) x x) y) (patch (*.f64 (fma.f64 (neg.f64 y) x x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y (- y 1)))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 (neg.f64 y) x x) y) (patch (*.f64 (fma.f64 (neg.f64 y) x x) y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (neg.f64 y) x x) (patch (fma.f64 (neg.f64 y) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (fma.f64 (neg.f64 y) x x) (patch (fma.f64 (neg.f64 y) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (fma.f64 (neg.f64 y) x x) (patch (fma.f64 (neg.f64 y) x x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (fma.f64 (neg.f64 y) x x) (patch (fma.f64 (neg.f64 y) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor inf y) (#s(alt (fma.f64 (neg.f64 y) x x) (patch (fma.f64 (neg.f64 y) x x) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt (fma.f64 (neg.f64 y) x x) (patch (fma.f64 (neg.f64 y) x x) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt (fma.f64 (neg.f64 y) x x) (patch (fma.f64 (neg.f64 y) x x) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt (fma.f64 (neg.f64 y) x x) (patch (fma.f64 (neg.f64 y) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf y) (#s(alt (fma.f64 (neg.f64 y) x x) (patch (fma.f64 (neg.f64 y) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ x (* -1 (/ x y))))) (taylor -inf y) (#s(alt (fma.f64 (neg.f64 y) x x) (patch (fma.f64 (neg.f64 y) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ x (* -1 (/ x y))))) (taylor -inf y) (#s(alt (fma.f64 (neg.f64 y) x x) (patch (fma.f64 (neg.f64 y) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ x (* -1 (/ x y))))) (taylor -inf y) (#s(alt (fma.f64 (neg.f64 y) x x) (patch (fma.f64 (neg.f64 y) x x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 y))) (taylor 0 x) (#s(alt (fma.f64 (neg.f64 y) x x) (patch (fma.f64 (neg.f64 y) x x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 y))) (taylor 0 x) (#s(alt (fma.f64 (neg.f64 y) x x) (patch (fma.f64 (neg.f64 y) x x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 y))) (taylor 0 x) (#s(alt (fma.f64 (neg.f64 y) x x) (patch (fma.f64 (neg.f64 y) x x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 y))) (taylor 0 x) (#s(alt (fma.f64 (neg.f64 y) x x) (patch (fma.f64 (neg.f64 y) x x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 y))) (taylor inf x) (#s(alt (fma.f64 (neg.f64 y) x x) (patch (fma.f64 (neg.f64 y) x x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 y))) (taylor inf x) (#s(alt (fma.f64 (neg.f64 y) x x) (patch (fma.f64 (neg.f64 y) x x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 y))) (taylor inf x) (#s(alt (fma.f64 (neg.f64 y) x x) (patch (fma.f64 (neg.f64 y) x x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 y))) (taylor inf x) (#s(alt (fma.f64 (neg.f64 y) x x) (patch (fma.f64 (neg.f64 y) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- y 1))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 y) x x) (patch (fma.f64 (neg.f64 y) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- y 1))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 y) x x) (patch (fma.f64 (neg.f64 y) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- y 1))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 y) x x) (patch (fma.f64 (neg.f64 y) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- y 1))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 y) x x) (patch (fma.f64 (neg.f64 y) x x) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) y) x) (patch (*.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) y) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) y) x) (patch (*.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) y) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) y) x) (patch (*.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) y) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) y) x) (patch (*.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (pow y 2))) (taylor inf y) (#s(alt (*.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) y) x) (patch (*.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) y) x) #<representation binary64>) () ())) ())
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Calls

81 calls:

TimeVariablePointExpression
5.0ms
x
@0
(* (+ (* (neg y) x) x) y)
1.0ms
x
@0
(* (/ x (/ -1 (- y 1))) y)
1.0ms
x
@0
(+ (* (* (neg y) y) x) (* x y))
1.0ms
x
@0
(/ x (/ -1 (- y 1)))
1.0ms
x
@inf
(* (/ x (/ -1 (- y 1))) y)

simplify163.0ms (2.5%)

Memory
5.6MiB live, 149.6MiB allocated
Algorithm
1×egg-herbie
Rules
13 684×lower-fma.f64
13 684×lower-fma.f32
3 566×lower-*.f64
3 566×lower-*.f32
1 794×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01582037
15171825
213551797
343421780
082091767
Stop Event
1×iter limit
1×node limit
Counts
324 → 317
Calls
Call 1
Inputs
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* x (* y (+ 1 (* -1 y))))
(* x (* y (+ 1 (* -1 y))))
(* x (* y (+ 1 (* -1 y))))
(* x (* y (+ 1 (* -1 y))))
(* x (* y (+ 1 (* -1 y))))
(* x (* y (+ 1 (* -1 y))))
(* x (* y (+ 1 (* -1 y))))
(* x (* y (+ 1 (* -1 y))))
(* -1 (* x (* y (- y 1))))
(* -1 (* x (* y (- y 1))))
(* -1 (* x (* y (- y 1))))
(* -1 (* x (* y (- y 1))))
x
(+ x (* -1 (* x y)))
(+ x (* -1 (* x y)))
(+ x (* -1 (* x y)))
(* -1 (* x y))
(* y (+ (* -1 x) (/ x y)))
(* y (+ (* -1 x) (/ x y)))
(* y (+ (* -1 x) (/ x y)))
(* -1 (* x y))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (* -1 y)))
(* -1 (* x (- y 1)))
(* -1 (* x (- y 1)))
(* -1 (* x (- y 1)))
(* -1 (* x (- y 1)))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* x (* y (- 1 y)))
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(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
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y
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(* (pow y 2) (- (/ 1 y) 1))
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(* (pow y 2) (- (/ 1 y) 1))
(* (pow y 2) (- (/ 1 y) 1))
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(* -1 y)
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(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
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(* x y)
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(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* x (+ y (* -1 (pow y 2))))
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(* x (+ y (* -1 (pow y 2))))
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(* -1 (pow y 2))
(* -1 (pow y 2))
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(* x y)
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(* x y)
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(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
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(* y (+ x (* x y)))
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(* y (+ x (* y (- (* y (- (+ x (* y (- x (* -1 x)))) (* -1 x))) (* -1 x)))))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y))))
(* (pow y 2) (- (+ (* -1 x) (* -1 (/ x (pow y 2)))) (+ (/ x y) (/ x (pow y 2)))))
(* (pow y 2) (- (+ (* -1 x) (+ (* -1 (/ x (pow y 2))) (* -1 (/ x (pow y 3))))) (+ (/ x y) (+ (/ x (pow y 2)) (/ x (pow y 3))))))
(* -1 (* x (pow y 2)))
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(* (pow y 2) (+ (* -1 x) (* -1 (/ (- (+ x (/ x y)) (* -1 (/ x y))) y))))
(* (pow y 2) (+ (* -1 x) (* -1 (/ (+ x (* -1 (/ (- (+ (* -1 (- x (* -1 x))) (* -1 (/ x y))) (/ x y)) y))) y))))
(/ x (- 1 y))
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(/ x (- 1 y))
(/ x (- 1 y))
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(/ x (- 1 y))
(/ x (- 1 y))
(/ x (- 1 y))
x
(+ x (* x y))
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(+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x))))
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(/ (+ (* -1 x) (* -1 (/ x y))) y)
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 2)))) (/ x y)) y)
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 3)))) (+ (/ x y) (/ x (pow y 2)))) y)
(* -1 (/ x y))
(* -1 (/ (+ x (/ x y)) y))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x y)) x) y))) y))
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ x y) (* -1 x)) y)) x) y))) y))
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(* -1 y)
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(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
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(* -1 (* y (- 1 (/ 1 y))))
y
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(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(pow y 3)
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(* -1 (* x (- y 1)))
(* -1 (* x (- y 1)))
(* -1 (* x (- y 1)))
(* -1 (* x (- y 1)))
(* -1 (* x (- y 1)))
(* -1 (* x (- y 1)))
(* -1 (* x (- y 1)))
(* -1 (* x (- y 1)))
(* -1 (* x (- y 1)))
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(* -1 (* x (- y 1)))
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x
(+ x (* -1 (* x y)))
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(* -1 (* x y))
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(* -1 (* x (* y (- y 1))))
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(* -1 (* x (* y (- y 1))))
(* -1 (* x (* y (- y 1))))
(* -1 (* x (* y (- y 1))))
(* -1 (* x (* y (- y 1))))
(* -1 (* x (* y (- y 1))))
(* -1 (* x (* y (- y 1))))
(* x y)
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(* y (+ x (* -1 (* x y))))
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(* -1 (* x (pow y 2)))
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(* (pow y 2) (+ (* -1 x) (/ x y)))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
1
(+ 1 y)
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(/ -1 y)
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(/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y)
(/ (- (* -1 (/ (+ 1 (/ 1 y)) (pow y 2))) (+ 1 (/ 1 y))) y)
(/ -1 y)
(* -1 (/ (+ 1 (/ 1 y)) y))
(* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))
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-1
(- y 1)
(- y 1)
(- y 1)
y
(* y (- 1 (/ 1 y)))
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(* y (- 1 (/ 1 y)))
y
(* -1 (* y (- (/ 1 y) 1)))
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(pow y 3)
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(pow y 3)
(pow y 3)
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Outputs
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (* x y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* y (+ x (* -1 (* x y))))
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(* (pow y 2) (+ (* -1 x) (/ x y)))
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(* (pow y 2) (+ (* -1 x) (/ x y)))
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(* (pow y 2) (+ (* -1 x) (/ x y)))
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(* -1 (* x (pow y 2)))
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(* (pow y 2) (+ (* -1 x) (/ x y)))
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(* (pow y 2) (+ (* -1 x) (/ x y)))
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(* (pow y 2) (+ (* -1 x) (/ x y)))
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(* x (* y (+ 1 (* -1 y))))
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(* x (* y (+ 1 (* -1 y))))
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(* -1 (* x (* y (- y 1))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
x
(+ x (* -1 (* x y)))
(-.f64 x (*.f64 y x))
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(-.f64 x (*.f64 y x))
(+ x (* -1 (* x y)))
(-.f64 x (*.f64 y x))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* y (+ (* -1 x) (/ x y)))
(-.f64 x (*.f64 y x))
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(-.f64 x (*.f64 y x))
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(* y (+ x (* -1 (* x y))))
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(* x (* y (- 1 y)))
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(* x (* y (- 1 y)))
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(* x (* y (- 1 y)))
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(* x (* y (- 1 y)))
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(* x (* y (- 1 y)))
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(* x (* y (- 1 y)))
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(* x (* y (- 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
y
(* y (+ 1 (* -1 y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(* y (+ 1 (* -1 y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(* y (+ 1 (* -1 y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* (pow y 2) (- (/ 1 y) 1))
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(* (pow y 2) (- (/ 1 y) 1))
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(* (pow y 2) (- (/ 1 y) 1))
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* (pow y 2) (- (/ 1 y) 1))
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(* (pow y 2) (- (/ 1 y) 1))
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(* (pow y 2) (- (/ 1 y) 1))
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
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(-.f64 #s(literal 1 binary64) y)
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(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (* x y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* y (+ x (* -1 (* x y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* y (+ x (* -1 (* x y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x (+ y (* -1 (pow y 2))))
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(* x (+ y (* -1 (pow y 2))))
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(* x (+ y (* -1 (pow y 2))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x (+ y (* -1 (pow y 2))))
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(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x (+ y (* -1 (pow y 2))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x (+ y (* -1 (pow y 2))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x (+ y (* -1 (pow y 2))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* -1 (* x (+ (* -1 y) (pow y 2))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* -1 (* x (+ (* -1 y) (pow y 2))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* -1 (* x (+ (* -1 y) (pow y 2))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* -1 (* x (+ (* -1 y) (pow y 2))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
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(* -1 (pow y 2))
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(* -1 (pow y 2))
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(* x y)
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(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x y)
(*.f64 y x)
(* y (+ x (* x y)))
(*.f64 (fma.f64 y x x) y)
(* y (+ x (* y (- (* y (- x (* -1 x))) (* -1 x)))))
(*.f64 (fma.f64 (fma.f64 (+.f64 x x) y x) y x) y)
(* y (+ x (* y (- (* y (- (+ x (* y (- x (* -1 x)))) (* -1 x))) (* -1 x)))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) (+.f64 x x)) y x) y x) y)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y))))
(*.f64 (fma.f64 y x x) (neg.f64 y))
(* (pow y 2) (- (+ (* -1 x) (* -1 (/ x (pow y 2)))) (+ (/ x y) (/ x (pow y 2)))))
(*.f64 y (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) (neg.f64 x)) (*.f64 y x)))
(* (pow y 2) (- (+ (* -1 x) (+ (* -1 (/ x (pow y 2))) (* -1 (/ x (pow y 3))))) (+ (/ x y) (+ (/ x (pow y 2)) (/ x (pow y 3))))))
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) (+.f64 (/.f64 (fma.f64 (/.f64 x y) #s(literal 2 binary64) x) y) x) (-.f64 (/.f64 x (*.f64 (neg.f64 y) y)) x)) (*.f64 y y))
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y))))
(*.f64 (fma.f64 y x x) (neg.f64 y))
(* (pow y 2) (+ (* -1 x) (* -1 (/ (- (+ x (/ x y)) (* -1 (/ x y))) y))))
(*.f64 y (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) (neg.f64 x)) (*.f64 y x)))
(* (pow y 2) (+ (* -1 x) (* -1 (/ (+ x (* -1 (/ (- (+ (* -1 (- x (* -1 x))) (* -1 (/ x y))) (/ x y)) y))) y))))
(*.f64 y (-.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 x y) x)) y) x) (*.f64 y x)))
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(/ x (- 1 y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
x
(+ x (* x y))
(fma.f64 y x x)
(+ x (* y (- (* x y) (* -1 x))))
(fma.f64 (fma.f64 y x x) y x)
(+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x))))
(fma.f64 (fma.f64 (fma.f64 y x x) y x) y x)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(/ (+ (* -1 x) (* -1 (/ x y))) y)
(/.f64 (-.f64 (/.f64 (neg.f64 x) y) x) y)
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 2)))) (/ x y)) y)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (neg.f64 x) y) x) y) x) y)
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 3)))) (+ (/ x y) (/ x (pow y 2)))) y)
(/.f64 (*.f64 (+.f64 (/.f64 x y) x) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal 1 binary64))) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ (+ x (/ x y)) y))
(/.f64 (-.f64 (/.f64 (neg.f64 x) y) x) y)
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x y)) x) y))) y))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (neg.f64 x) y) x) y) x) y)
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ x y) (* -1 x)) y)) x) y))) y))
(/.f64 (*.f64 (+.f64 (/.f64 x y) x) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal 1 binary64))) y)
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(* -1 y)
(neg.f64 y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
y
(* y (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) y)
(* y (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) y)
(* y (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) y)
(pow y 3)
(*.f64 (*.f64 y y) y)
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) y)
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) y)
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) y)
(pow y 3)
(*.f64 (*.f64 y y) y)
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) y)
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) y)
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) y)
(* -1 (* x (- y 1)))
(-.f64 x (*.f64 y x))
(* -1 (* x (- y 1)))
(-.f64 x (*.f64 y x))
(* -1 (* x (- y 1)))
(-.f64 x (*.f64 y x))
(* -1 (* x (- y 1)))
(-.f64 x (*.f64 y x))
(* -1 (* x (- y 1)))
(-.f64 x (*.f64 y x))
(* -1 (* x (- y 1)))
(-.f64 x (*.f64 y x))
(* -1 (* x (- y 1)))
(-.f64 x (*.f64 y x))
(* -1 (* x (- y 1)))
(-.f64 x (*.f64 y x))
(* -1 (* x (- y 1)))
(-.f64 x (*.f64 y x))
(* -1 (* x (- y 1)))
(-.f64 x (*.f64 y x))
(* -1 (* x (- y 1)))
(-.f64 x (*.f64 y x))
(* -1 (* x (- y 1)))
(-.f64 x (*.f64 y x))
x
(+ x (* -1 (* x y)))
(-.f64 x (*.f64 y x))
(+ x (* -1 (* x y)))
(-.f64 x (*.f64 y x))
(+ x (* -1 (* x y)))
(-.f64 x (*.f64 y x))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* y (+ (* -1 x) (/ x y)))
(-.f64 x (*.f64 y x))
(* y (+ (* -1 x) (/ x y)))
(-.f64 x (*.f64 y x))
(* y (+ (* -1 x) (/ x y)))
(-.f64 x (*.f64 y x))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* y (+ x (* -1 (/ x y)))))
(-.f64 x (*.f64 y x))
(* -1 (* y (+ x (* -1 (/ x y)))))
(-.f64 x (*.f64 y x))
(* -1 (* y (+ x (* -1 (/ x y)))))
(-.f64 x (*.f64 y x))
(* -1 (* x (* y (- y 1))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* -1 (* x (* y (- y 1))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* -1 (* x (* y (- y 1))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* -1 (* x (* y (- y 1))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* -1 (* x (* y (- y 1))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* -1 (* x (* y (- y 1))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* -1 (* x (* y (- y 1))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* -1 (* x (* y (- y 1))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* -1 (* x (* y (- y 1))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* -1 (* x (* y (- y 1))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* -1 (* x (* y (- y 1))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* -1 (* x (* y (- y 1))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (* x y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* y (+ x (* -1 (* x y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* y (+ x (* -1 (* x y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
1
#s(literal 1 binary64)
(+ 1 y)
(-.f64 y #s(literal -1 binary64))
(+ 1 (* y (+ 1 y)))
(fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (+ 1 (* y (+ 1 y)))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal -1 binary64)))
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(* -1 (/ (+ 1 (/ 1 y)) y))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) y)
(/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y)
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)) y)
(/ (- (* -1 (/ (+ 1 (/ 1 y)) (pow y 2))) (+ 1 (/ 1 y))) y)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)) y) #s(literal 1 binary64)) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(* -1 (/ (+ 1 (/ 1 y)) y))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) y)
(* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)) y)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))) y))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)) y) #s(literal 1 binary64)) y)
-1
#s(literal -1 binary64)
(- y 1)
(-.f64 y #s(literal 1 binary64))
(- y 1)
(-.f64 y #s(literal 1 binary64))
(- y 1)
(-.f64 y #s(literal 1 binary64))
y
(* y (- 1 (/ 1 y)))
(-.f64 y #s(literal 1 binary64))
(* y (- 1 (/ 1 y)))
(-.f64 y #s(literal 1 binary64))
(* y (- 1 (/ 1 y)))
(-.f64 y #s(literal 1 binary64))
y
(* -1 (* y (- (/ 1 y) 1)))
(-.f64 y #s(literal 1 binary64))
(* -1 (* y (- (/ 1 y) 1)))
(-.f64 y #s(literal 1 binary64))
(* -1 (* y (- (/ 1 y) 1)))
(-.f64 y #s(literal 1 binary64))
(pow y 3)
(*.f64 (*.f64 y y) y)
(pow y 3)
(*.f64 (*.f64 y y) y)
(pow y 3)
(*.f64 (*.f64 y y) y)
(pow y 3)
(*.f64 (*.f64 y y) y)
(pow y 3)
(*.f64 (*.f64 y y) y)
(pow y 3)
(*.f64 (*.f64 y y) y)
(pow y 3)
(*.f64 (*.f64 y y) y)
(pow y 3)
(*.f64 (*.f64 y y) y)
(pow y 3)
(*.f64 (*.f64 y y) y)
(pow y 3)
(*.f64 (*.f64 y y) y)
(pow y 3)
(*.f64 (*.f64 y y) y)
(pow y 3)
(*.f64 (*.f64 y y) y)

rewrite254.0ms (3.9%)

Memory
13.7MiB live, 376.1MiB allocated
Rules
10 730×lower-fma.f32
10 726×lower-fma.f64
5 670×lower-*.f32
5 654×lower-*.f64
3 654×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027123
046111
1156107
21020107
08785107
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
18 → 1 467
Calls
Call 1
Inputs
(*.f64 (fma.f64 (neg.f64 y) x x) y)
(fma.f64 (neg.f64 y) x x)
(neg.f64 y)
(*.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) y) x)
(*.f64 #s(approx (- 1 y) (neg.f64 y)) y)
#s(approx (- 1 y) (neg.f64 y))
(fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 x y))
(*.f64 (neg.f64 y) y)
(*.f64 x y)
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) #s(approx (* (+ (* y y) 1) y) (*.f64 (*.f64 y y) y)))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 1 binary64) y)
#s(approx (* (+ (* y y) 1) y) (*.f64 (*.f64 y y) y))
(/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)))) y)
(/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)))
(-.f64 y #s(literal 1 binary64))
(*.f64 (*.f64 y y) y)
Outputs
(*.f64 (*.f64 (*.f64 x (neg.f64 y)) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64))))
(*.f64 (*.f64 (*.f64 x (neg.f64 y)) (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))
(*.f64 (*.f64 (fma.f64 x (neg.f64 y) x) #s(literal 1 binary64)) y)
(*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal -1 binary64)))) (/.f64 y (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))
(*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64)))) (/.f64 y (-.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal -1 binary64)))) (/.f64 x (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))
(*.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64)))) (/.f64 x (-.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (fma.f64 x (neg.f64 y) x))
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64)))) (/.f64 y (-.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y y) y #s(literal -1 binary64)))) (/.f64 y (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 y y)))) (/.f64 y (-.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y)))) (/.f64 y (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal -1 binary64)))) (/.f64 (neg.f64 y) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64)))) (/.f64 (neg.f64 y) (-.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal -1 binary64)))) (/.f64 (*.f64 x y) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64)))) (/.f64 (*.f64 x y) (-.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 x (neg.f64 y) x) y) x) (/.f64 (*.f64 (neg.f64 y) (fma.f64 x y x)) (-.f64 #s(literal 0 binary64) (fma.f64 y y y))))
(*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal -1 binary64)))) (/.f64 (neg.f64 x) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))
(*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64)))) (/.f64 (neg.f64 x) (-.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64)))) (/.f64 x (-.f64 y #s(literal -1 binary64))))
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(+.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64)))))
(+.f64 #s(literal 0 binary64) (-.f64 y #s(literal 1 binary64)))
(+.f64 #s(literal -1 binary64) y)
(+.f64 y #s(literal -1 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 y y) #s(literal 3/4 binary64)) (pow.f64 (*.f64 y y) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (*.f64 (*.f64 y y) y))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))
(*.f64 (*.f64 (*.f64 y y) y) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)))
(*.f64 (*.f64 (*.f64 y y) y) #s(literal 1 binary64))
(*.f64 (*.f64 y y) y)
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))
(*.f64 y (*.f64 y y))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 3/2 binary64))
(pow.f64 y #s(literal 3 binary64))
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 3 binary64)))

eval211.0ms (3.2%)

Memory
11.6MiB live, 413.6MiB allocated
Compiler

Compiled 34 871 to 2 873 computations (91.8% saved)

prune422.0ms (6.5%)

Memory
-97.8MiB live, 411.0MiB allocated
Pruning

11 alts after pruning (5 fresh and 6 done)

PrunedKeptTotal
New1 84751 852
Fresh101
Picked235
Done033
Total1 850111 861
Accuracy
100.0%
Counts
1 861 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓86.0%
(fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 x y))
▶50.9%
(/.f64 (*.f64 #s(approx (* (+ (* y y) 1) y) (*.f64 (*.f64 y y) y)) x) (-.f64 #s(literal 1 binary64) y))
▶99.7%
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) x)))
✓99.9%
(*.f64 (fma.f64 (neg.f64 y) x x) y)
▶62.6%
(*.f64 (/.f64 x #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y))) y)
▶46.2%
(*.f64 (/.f64 x #s(approx (- 1 y) (neg.f64 y))) #s(approx (* (+ (* y y) 1) y) (*.f64 (*.f64 y y) y)))
▶57.8%
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (fma.f64 x y x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 x y x))) y)
✓55.4%
(*.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) y) x)
✓99.8%
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
✓62.6%
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
✓53.1%
#s(approx (* (* x y) (- 1 y)) (*.f64 y x))
Compiler

Compiled 205 to 112 computations (45.4% saved)

simplify108.0ms (1.6%)

Memory
-10.4MiB live, 147.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (fma.f64 x y x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 x y x))) y)
cost-diff640
(/.f64 (*.f64 (neg.f64 x) x) (fma.f64 x y x))
cost-diff640
(/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (fma.f64 x y x))
cost-diff1024
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (fma.f64 x y x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 x y x)))
cost-diff0
(*.f64 (*.f64 y y) y)
cost-diff0
#s(approx (* (+ (* y y) 1) y) (*.f64 (*.f64 y y) y))
cost-diff0
(*.f64 #s(approx (* (+ (* y y) 1) y) (*.f64 (*.f64 y y) y)) x)
cost-diff0
(/.f64 (*.f64 #s(approx (* (+ (* y y) 1) y) (*.f64 (*.f64 y y) y)) x) (-.f64 #s(literal 1 binary64) y))
cost-diff0
(neg.f64 y)
cost-diff0
#s(approx (- 1 y) (neg.f64 y))
cost-diff0
(/.f64 x #s(approx (- 1 y) (neg.f64 y)))
cost-diff0
(*.f64 (/.f64 x #s(approx (- 1 y) (neg.f64 y))) #s(approx (* (+ (* y y) 1) y) (*.f64 (*.f64 y y) y)))
cost-diff0
(/.f64 #s(literal -1 binary64) y)
cost-diff0
#s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y))
cost-diff0
(/.f64 x #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y)))
cost-diff0
(*.f64 (/.f64 x #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y))) y)
cost-diff0
(neg.f64 y)
cost-diff0
(fma.f64 x (neg.f64 y) x)
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) x))
cost-diff1088
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) x)))
Rules
6 054×lower-fma.f32
6 050×lower-fma.f64
3 410×lower-*.f32
3 390×lower-*.f64
1 552×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037289
062289
1103271
2198257
3563235
43197230
56456229
08133228
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) x)))
y
(/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) x))
#s(literal 1 binary64)
(fma.f64 x (neg.f64 y) x)
x
(neg.f64 y)
(*.f64 (/.f64 x #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y))) y)
(/.f64 x #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y)))
x
#s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
(*.f64 (/.f64 x #s(approx (- 1 y) (neg.f64 y))) #s(approx (* (+ (* y y) 1) y) (*.f64 (*.f64 y y) y)))
(/.f64 x #s(approx (- 1 y) (neg.f64 y)))
x
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)
y
#s(approx (* (+ (* y y) 1) y) (*.f64 (*.f64 y y) y))
(*.f64 (*.f64 y y) y)
(*.f64 y y)
(/.f64 (*.f64 #s(approx (* (+ (* y y) 1) y) (*.f64 (*.f64 y y) y)) x) (-.f64 #s(literal 1 binary64) y))
(*.f64 #s(approx (* (+ (* y y) 1) y) (*.f64 (*.f64 y y) y)) x)
#s(approx (* (+ (* y y) 1) y) (*.f64 (*.f64 y y) y))
(*.f64 (*.f64 y y) y)
(*.f64 y y)
y
x
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (fma.f64 x y x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 x y x))) y)
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (fma.f64 x y x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 x y x)))
(/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (fma.f64 x y x))
(*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y)
(*.f64 (*.f64 x (neg.f64 y)) x)
(*.f64 x (neg.f64 y))
x
(neg.f64 y)
y
(fma.f64 x y x)
(/.f64 (*.f64 (neg.f64 x) x) (fma.f64 x y x))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
Outputs
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) x)))
(*.f64 (fma.f64 (neg.f64 y) x x) y)
y
(/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) x))
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) x x))
#s(literal 1 binary64)
(fma.f64 x (neg.f64 y) x)
(fma.f64 (neg.f64 y) x x)
x
(neg.f64 y)
(*.f64 (/.f64 x #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y))) y)
(/.f64 (*.f64 x y) #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y)))
(/.f64 x #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y)))
x
#s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
(*.f64 (/.f64 x #s(approx (- 1 y) (neg.f64 y))) #s(approx (* (+ (* y y) 1) y) (*.f64 (*.f64 y y) y)))
(*.f64 #s(approx (* (+ (* y y) 1) y) (*.f64 (*.f64 y y) y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y))))
(/.f64 x #s(approx (- 1 y) (neg.f64 y)))
x
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)
y
#s(approx (* (+ (* y y) 1) y) (*.f64 (*.f64 y y) y))
(*.f64 (*.f64 y y) y)
(*.f64 y y)
(/.f64 (*.f64 #s(approx (* (+ (* y y) 1) y) (*.f64 (*.f64 y y) y)) x) (-.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) #s(approx (* (+ (* y y) 1) y) (*.f64 (*.f64 y y) y)))
(*.f64 #s(approx (* (+ (* y y) 1) y) (*.f64 (*.f64 y y) y)) x)
#s(approx (* (+ (* y y) 1) y) (*.f64 (*.f64 y y) y))
(*.f64 (*.f64 y y) y)
(*.f64 y y)
y
x
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (fma.f64 x y x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 x y x))) y)
(*.f64 (*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) x) (fma.f64 y y #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (fma.f64 x y x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 x y x)))
(*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) (fma.f64 y y #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (fma.f64 x y x))
(*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (*.f64 x y))
(*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y)
(*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)
(*.f64 (*.f64 x (neg.f64 y)) x)
(*.f64 (*.f64 (neg.f64 y) x) x)
(*.f64 x (neg.f64 y))
(*.f64 (neg.f64 y) x)
x
(neg.f64 y)
y
(fma.f64 x y x)
(/.f64 (*.f64 (neg.f64 x) x) (fma.f64 x y x))
(/.f64 x (-.f64 #s(literal -1 binary64) y))
(*.f64 (neg.f64 x) x)
(neg.f64 x)

localize319.0ms (4.9%)

Memory
-20.7MiB live, 160.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.11328125
(*.f64 (*.f64 x (neg.f64 y)) x)
accuracy4.471017099484223
(*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y)
accuracy21.09160485293867
(/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (fma.f64 x y x))
accuracy26.847975842288946
(/.f64 (*.f64 (neg.f64 x) x) (fma.f64 x y x))
accuracy0.078125
(*.f64 (*.f64 y y) y)
accuracy2.6117965903897105
(*.f64 #s(approx (* (+ (* y y) 1) y) (*.f64 (*.f64 y y) y)) x)
accuracy5.11380255108452
(/.f64 (*.f64 #s(approx (* (+ (* y y) 1) y) (*.f64 (*.f64 y y) y)) x) (-.f64 #s(literal 1 binary64) y))
accuracy29.434854225718055
#s(approx (* (+ (* y y) 1) y) (*.f64 (*.f64 y y) y))
accuracy0.078125
(*.f64 (*.f64 y y) y)
accuracy10.270227979224106
(*.f64 (/.f64 x #s(approx (- 1 y) (neg.f64 y))) #s(approx (* (+ (* y y) 1) y) (*.f64 (*.f64 y y) y)))
accuracy29.434854225718055
#s(approx (* (+ (* y y) 1) y) (*.f64 (*.f64 y y) y))
accuracy30.31509813368503
#s(approx (- 1 y) (neg.f64 y))
accuracy0
(/.f64 #s(literal -1 binary64) y)
accuracy0.08203125
(*.f64 (/.f64 x #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y))) y)
accuracy0.09765625
(/.f64 x #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y)))
accuracy30.487122204251
#s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y))
accuracy0
(fma.f64 x (neg.f64 y) x)
accuracy0
(neg.f64 y)
accuracy0.1875
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) x)))
accuracy0.2789105663659789
(/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) x))
Samples
62.0ms256×0valid
Compiler

Compiled 250 to 35 computations (86% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-mult: 20.0ms (45.2% of total)
ival-div: 13.0ms (29.4% of total)
ival-add: 4.0ms (9% of total)
ival-sub: 3.0ms (6.8% of total)
ival-neg: 2.0ms (4.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series38.0ms (0.6%)

Memory
10.8MiB live, 47.7MiB allocated
Counts
21 → 432
Calls
Call 1
Inputs
#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) x))) (patch (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) x)) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) x)) #<representation binary64>) () ())
#s(alt (fma.f64 x (neg.f64 y) x) (patch (fma.f64 x (neg.f64 y) x) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 x #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y))) y) (patch (*.f64 (/.f64 x #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y))) y) #<representation binary64>) () ())
#s(alt (/.f64 x #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y))) (patch (/.f64 x #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())
#s(alt #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y)) (patch #s(approx (/ -1 (- y 1)) (/.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 (/.f64 x #s(approx (- 1 y) (neg.f64 y))) #s(approx (* (+ (* y y) 1) y) (*.f64 (*.f64 y y) y))) (patch (*.f64 (/.f64 x #s(approx (- 1 y) (neg.f64 y))) #s(approx (* (+ (* y y) 1) y) (*.f64 (*.f64 y y) y))) #<representation binary64>) () ())
#s(alt (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 x #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(approx (* (+ (* y y) 1) y) (*.f64 (*.f64 y y) y)) x) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (*.f64 #s(approx (* (+ (* y y) 1) y) (*.f64 (*.f64 y y) y)) x) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (* (+ (* y y) 1) y) (*.f64 (*.f64 y y) y)) x) (patch (*.f64 #s(approx (* (+ (* y y) 1) y) (*.f64 (*.f64 y y) y)) x) #<representation binary64>) () ())
#s(alt #s(approx (* (+ (* y y) 1) y) (*.f64 (*.f64 y y) y)) (patch #s(approx (* (+ (* y y) 1) y) (*.f64 (*.f64 y y) y)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 y y) y) (patch (*.f64 (*.f64 y y) y) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (fma.f64 x y x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 x y x))) (patch (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (fma.f64 x y x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 x y x))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (fma.f64 x y x)) (patch (/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (fma.f64 x y x)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 x y x)) (patch (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 x y x)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (fma.f64 x y x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 x y x))) y) (patch (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (fma.f64 x y x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 x y x))) y) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (patch (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x (neg.f64 y)) x) (patch (*.f64 (*.f64 x (neg.f64 y)) x) #<representation binary64>) () ())
Outputs
#s(alt (* x y) (taylor 0 y) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) x))) (patch (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) x))) (patch (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) x))) (patch (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) x))) (patch (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (pow y 2))) (taylor inf y) (#s(alt (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) x))) (patch (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) x))) #<representation binary64>) () ())) ())
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#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor -inf y) (#s(alt (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (fma.f64 x y x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 x y x))) y) (patch (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (fma.f64 x y x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 x y x))) y) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor -inf y) (#s(alt (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (fma.f64 x y x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 x y x))) y) (patch (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (fma.f64 x y x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 x y x))) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (patch (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (patch (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (patch (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (patch (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (patch (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (patch (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (patch (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (patch (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (patch (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (pow x 2) y)) (taylor inf x) (#s(alt (*.f64 (*.f64 x (neg.f64 y)) x) (patch (*.f64 (*.f64 x (neg.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor inf x) (#s(alt (*.f64 (*.f64 x (neg.f64 y)) x) (patch (*.f64 (*.f64 x (neg.f64 y)) x) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x (neg.f64 y)) x) (patch (*.f64 (*.f64 x (neg.f64 y)) x) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (pow x 2) y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x (neg.f64 y)) x) (patch (*.f64 (*.f64 x (neg.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x (neg.f64 y)) x) (patch (*.f64 (*.f64 x (neg.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 x (neg.f64 y)) x) (patch (*.f64 (*.f64 x (neg.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor inf y) (#s(alt (*.f64 (*.f64 x (neg.f64 y)) x) (patch (*.f64 (*.f64 x (neg.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor inf y) (#s(alt (*.f64 (*.f64 x (neg.f64 y)) x) (patch (*.f64 (*.f64 x (neg.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor inf y) (#s(alt (*.f64 (*.f64 x (neg.f64 y)) x) (patch (*.f64 (*.f64 x (neg.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor inf y) (#s(alt (*.f64 (*.f64 x (neg.f64 y)) x) (patch (*.f64 (*.f64 x (neg.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf y) (#s(alt (*.f64 (*.f64 x (neg.f64 y)) x) (patch (*.f64 (*.f64 x (neg.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf y) (#s(alt (*.f64 (*.f64 x (neg.f64 y)) x) (patch (*.f64 (*.f64 x (neg.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf y) (#s(alt (*.f64 (*.f64 x (neg.f64 y)) x) (patch (*.f64 (*.f64 x (neg.f64 y)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) y)) (taylor -inf y) (#s(alt (*.f64 (*.f64 x (neg.f64 y)) x) (patch (*.f64 (*.f64 x (neg.f64 y)) x) #<representation binary64>) () ())) ())
Calls

108 calls:

TimeVariablePointExpression
7.0ms
y
@-inf
(- (/ (* (* (* x (neg y)) x) y) (+ (* x y) x)) (/ (* (neg x) x) (+ (* x y) x)))
2.0ms
x
@0
(- (/ (* (* (* x (neg y)) x) y) (+ (* x y) x)) (/ (* (neg x) x) (+ (* x y) x)))
1.0ms
x
@-inf
(- (/ (* (* (* x (neg y)) x) y) (+ (* x y) x)) (/ (* (neg x) x) (+ (* x y) x)))
1.0ms
x
@inf
(- (/ (* (* (* x (neg y)) x) y) (+ (* x y) x)) (/ (* (neg x) x) (+ (* x y) x)))
1.0ms
y
@0
(- (/ (* (* (* x (neg y)) x) y) (+ (* x y) x)) (/ (* (neg x) x) (+ (* x y) x)))

simplify260.0ms (4%)

Memory
36.0MiB live, 185.2MiB allocated
Algorithm
1×egg-herbie
Rules
18 486×lower-fma.f64
18 486×lower-fma.f32
3 274×lower-*.f64
3 274×lower-*.f32
2 964×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02443574
18123285
223313157
367563142
080363094
Stop Event
1×iter limit
1×node limit
Counts
432 → 427
Calls
Call 1
Inputs
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Outputs
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (* x y))))
(*.f64 (-.f64 x (*.f64 y x)) y)
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(*.f64 (-.f64 x (*.f64 y x)) y)
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(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
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(* -1 (* x (pow y 2)))
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(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* (pow y 2) (+ (* -1 x) (/ x y)))
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(/ 1 (* x (+ 1 (* -1 y))))
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(/ 1 (* x (+ 1 (* -1 y))))
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(/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y x)))
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(/ 1 (* x (+ 1 (* -1 y))))
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(/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y x)))
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(+ (* y (+ (/ 1 x) (/ y x))) (/ 1 x))
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(*.f64 (*.f64 (neg.f64 x) x) y)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) x) y)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) x) y)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) x) y)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) x) y)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) x) y)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) x) y)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) x) y)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) x) y)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) x) y)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) x) y)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) x) y)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) x) y)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) x) y)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) x) y)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) x) y)

rewrite282.0ms (4.3%)

Memory
-21.1MiB live, 259.9MiB allocated
Rules
4 988×lower-/.f32
4 972×lower-/.f64
4 460×lower-*.f32
4 440×lower-*.f64
3 354×lower-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037231
062187
1228171
21735171
08425171
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
21 → 925
Calls
Call 1
Inputs
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) x)))
(/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) x))
(fma.f64 x (neg.f64 y) x)
(neg.f64 y)
(*.f64 (/.f64 x #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y))) y)
(/.f64 x #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y)))
#s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) y)
(*.f64 (/.f64 x #s(approx (- 1 y) (neg.f64 y))) #s(approx (* (+ (* y y) 1) y) (*.f64 (*.f64 y y) y)))
(/.f64 x #s(approx (- 1 y) (neg.f64 y)))
#s(approx (- 1 y) (neg.f64 y))
(/.f64 (*.f64 #s(approx (* (+ (* y y) 1) y) (*.f64 (*.f64 y y) y)) x) (-.f64 #s(literal 1 binary64) y))
(*.f64 #s(approx (* (+ (* y y) 1) y) (*.f64 (*.f64 y y) y)) x)
#s(approx (* (+ (* y y) 1) y) (*.f64 (*.f64 y y) y))
(*.f64 (*.f64 y y) y)
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (fma.f64 x y x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 x y x)))
(/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (fma.f64 x y x))
(/.f64 (*.f64 (neg.f64 x) x) (fma.f64 x y x))
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (fma.f64 x y x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 x y x))) y)
(*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y)
(*.f64 (*.f64 x (neg.f64 y)) x)
Outputs
(*.f64 #s(literal -1 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) x x))))
(*.f64 (fma.f64 (neg.f64 y) x x) y)
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) x x))))
(*.f64 (neg.f64 y) (fma.f64 x y (neg.f64 x)))
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 y) x x) y))
(*.f64 y (fma.f64 (neg.f64 y) x x))
(pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 x y (neg.f64 x)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 x y (neg.f64 x)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y x)) (fma.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y (*.f64 (neg.f64 x) x))) (fma.f64 (neg.f64 y) x x)) y)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y x)) (fma.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y (*.f64 (neg.f64 x) x)))))
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y))) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (*.f64 (neg.f64 (fma.f64 x y x)) (*.f64 (fma.f64 x y x) (fma.f64 x y x)))) y)) (neg.f64 (fma.f64 (*.f64 (/.f64 x (fma.f64 x y x)) (neg.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y x)) (fma.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y (*.f64 (neg.f64 x) x))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) y) x) (*.f64 (*.f64 (*.f64 x y) y) x)) (*.f64 (fma.f64 x y x) (fma.f64 x y x))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 x y x) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y) (*.f64 (neg.f64 (fma.f64 x y x)) (*.f64 (neg.f64 x) x))) y)) (neg.f64 (*.f64 (fma.f64 x y x) (fma.f64 x y x))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x (*.f64 x x)) y)) (neg.f64 (fma.f64 x y x)))
(/.f64 (neg.f64 (*.f64 y (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y x)) (fma.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y (*.f64 (neg.f64 x) x))) (fma.f64 (neg.f64 y) x x)))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y x)) (fma.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y (*.f64 (neg.f64 x) x)))))
(/.f64 (neg.f64 (*.f64 y (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y))) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (*.f64 (neg.f64 (fma.f64 x y x)) (*.f64 (fma.f64 x y x) (fma.f64 x y x)))))) (neg.f64 (fma.f64 (*.f64 (/.f64 x (fma.f64 x y x)) (neg.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y x)) (fma.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y (*.f64 (neg.f64 x) x))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) y) x) (*.f64 (*.f64 (*.f64 x y) y) x)) (*.f64 (fma.f64 x y x) (fma.f64 x y x))))))
(/.f64 (neg.f64 (*.f64 y (fma.f64 (fma.f64 x y x) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y) (*.f64 (neg.f64 (fma.f64 x y x)) (*.f64 (neg.f64 x) x))))) (neg.f64 (*.f64 (fma.f64 x y x) (fma.f64 x y x))))
(/.f64 (neg.f64 (*.f64 y (fma.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x (*.f64 x x)))) (neg.f64 (fma.f64 x y x)))
(/.f64 (neg.f64 (*.f64 (fma.f64 (neg.f64 y) x x) y)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) x x)))
(/.f64 (neg.f64 (*.f64 y (*.f64 (fma.f64 x y x) (fma.f64 x y (neg.f64 x))))) (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x y x)))))
(/.f64 (neg.f64 (*.f64 y (*.f64 (fma.f64 x y x) (fma.f64 x y (neg.f64 x))))) (neg.f64 (neg.f64 (fma.f64 x y x))))
(/.f64 (neg.f64 (*.f64 y (fma.f64 (*.f64 (*.f64 (*.f64 x y) y) x) (*.f64 x y) (*.f64 (*.f64 x x) x)))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x y) y) x (*.f64 x (-.f64 x (*.f64 (neg.f64 y) x)))))))
(/.f64 (neg.f64 (*.f64 y (fma.f64 (*.f64 (*.f64 (*.f64 x y) y) x) (*.f64 x y) (*.f64 (*.f64 x x) x)))) (neg.f64 (fma.f64 (*.f64 (*.f64 x y) y) x (*.f64 x (-.f64 x (*.f64 (neg.f64 y) x))))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) x x))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) x x)) y)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) x x)) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) x x))))
(/.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y x)) (fma.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y (*.f64 (neg.f64 x) x))) (fma.f64 (neg.f64 y) x x)) y) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y x)) (fma.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y (*.f64 (neg.f64 x) x))))
(/.f64 (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y))) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (*.f64 (neg.f64 (fma.f64 x y x)) (*.f64 (fma.f64 x y x) (fma.f64 x y x)))) y) (fma.f64 (*.f64 (/.f64 x (fma.f64 x y x)) (neg.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y x)) (fma.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y (*.f64 (neg.f64 x) x))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) y) x) (*.f64 (*.f64 (*.f64 x y) y) x)) (*.f64 (fma.f64 x y x) (fma.f64 x y x)))))
(/.f64 (*.f64 (fma.f64 (fma.f64 x y x) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y) (*.f64 (neg.f64 (fma.f64 x y x)) (*.f64 (neg.f64 x) x))) y) (*.f64 (fma.f64 x y x) (fma.f64 x y x)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x (*.f64 x x)) y) (fma.f64 x y x))
(/.f64 (*.f64 y (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y x)) (fma.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y (*.f64 (neg.f64 x) x))) (fma.f64 (neg.f64 y) x x))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y x)) (fma.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y (*.f64 (neg.f64 x) x))))
(/.f64 (*.f64 y (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y))) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (*.f64 (neg.f64 (fma.f64 x y x)) (*.f64 (fma.f64 x y x) (fma.f64 x y x))))) (fma.f64 (*.f64 (/.f64 x (fma.f64 x y x)) (neg.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y x)) (fma.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y (*.f64 (neg.f64 x) x))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) y) x) (*.f64 (*.f64 (*.f64 x y) y) x)) (*.f64 (fma.f64 x y x) (fma.f64 x y x)))))
(/.f64 (*.f64 y (fma.f64 (fma.f64 x y x) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y) (*.f64 (neg.f64 (fma.f64 x y x)) (*.f64 (neg.f64 x) x)))) (*.f64 (fma.f64 x y x) (fma.f64 x y x)))
(/.f64 (*.f64 y (fma.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x (*.f64 x x))) (fma.f64 x y x))
(/.f64 (*.f64 (fma.f64 (neg.f64 y) x x) y) #s(literal 1 binary64))
(/.f64 (neg.f64 (neg.f64 y)) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) x x)))
(/.f64 (*.f64 y (*.f64 (fma.f64 x y x) (fma.f64 x y (neg.f64 x)))) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x y x))))
(/.f64 (*.f64 y (*.f64 (fma.f64 x y x) (fma.f64 x y (neg.f64 x)))) (neg.f64 (fma.f64 x y x)))
(/.f64 (*.f64 y (fma.f64 (*.f64 (*.f64 (*.f64 x y) y) x) (*.f64 x y) (*.f64 (*.f64 x x) x))) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x y) y) x (*.f64 x (-.f64 x (*.f64 (neg.f64 y) x))))))
(/.f64 (*.f64 y (fma.f64 (*.f64 (*.f64 (*.f64 x y) y) x) (*.f64 x y) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 (*.f64 x y) y) x (*.f64 x (-.f64 x (*.f64 (neg.f64 y) x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 x y (neg.f64 x)))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 x y (neg.f64 x))))))
(/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) x x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 x y (neg.f64 x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 x y (neg.f64 x)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 x y (neg.f64 x)))))
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) x x)))
(neg.f64 (/.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) x x))))
(fma.f64 (*.f64 (/.f64 y (fma.f64 x y x)) (*.f64 (*.f64 (neg.f64 y) x) x)) y (*.f64 (/.f64 (*.f64 x x) (fma.f64 x y x)) y))
(fma.f64 (*.f64 (neg.f64 y) x) y (*.f64 x y))
(fma.f64 x y (*.f64 (*.f64 (neg.f64 y) x) y))
(fma.f64 x y (*.f64 y (*.f64 (neg.f64 y) x)))
(fma.f64 y (*.f64 (/.f64 y (fma.f64 x y x)) (*.f64 (*.f64 (neg.f64 y) x) x)) (*.f64 y (/.f64 (*.f64 x x) (fma.f64 x y x))))
(fma.f64 y (*.f64 (neg.f64 y) x) (*.f64 x y))
(fma.f64 y x (*.f64 (*.f64 (neg.f64 y) x) y))
(fma.f64 y x (*.f64 y (*.f64 (neg.f64 y) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) x x))) (/.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) x x))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 x y (neg.f64 x))))) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 (/.f64 y (fma.f64 x y x)) (*.f64 (*.f64 (neg.f64 y) x) x)) y) (*.f64 (/.f64 (*.f64 x x) (fma.f64 x y x)) y))
(+.f64 (*.f64 (*.f64 (neg.f64 y) x) y) (*.f64 x y))
(+.f64 (*.f64 y (*.f64 (/.f64 y (fma.f64 x y x)) (*.f64 (*.f64 (neg.f64 y) x) x))) (*.f64 y (/.f64 (*.f64 x x) (fma.f64 x y x))))
(+.f64 (*.f64 y (*.f64 (neg.f64 y) x)) (*.f64 x y))
(+.f64 (*.f64 x y) (*.f64 (*.f64 (neg.f64 y) x) y))
(+.f64 (*.f64 x y) (*.f64 y (*.f64 (neg.f64 y) x)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x (*.f64 x x)) (*.f64 (fma.f64 x y x) (fma.f64 x y (neg.f64 x)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) x x)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x (*.f64 x x)) (fma.f64 (*.f64 (*.f64 (*.f64 x y) y) x) (*.f64 x y) (*.f64 (*.f64 x x) x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x y) x) y (*.f64 x (fma.f64 (neg.f64 y) x x)))))
(*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y x)) (fma.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y (*.f64 (neg.f64 x) x))) (fma.f64 (neg.f64 y) x x)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y x)) (fma.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y (*.f64 (neg.f64 x) x)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y))) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (*.f64 (neg.f64 (fma.f64 x y x)) (*.f64 (fma.f64 x y x) (fma.f64 x y x)))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x (fma.f64 x y x)) (neg.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y x)) (fma.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y (*.f64 (neg.f64 x) x))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x y) y) x) (*.f64 (*.f64 (*.f64 x y) y) x)) (*.f64 (fma.f64 x y x) (fma.f64 x y x))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (fma.f64 x y x) (*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y) (*.f64 (neg.f64 (fma.f64 x y x)) (*.f64 (neg.f64 x) x))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x y x) (fma.f64 x y x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y x)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 y) x) y) x (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x y x) (fma.f64 x y (neg.f64 x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x y x))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x y x) (fma.f64 x y (neg.f64 x)))) (neg.f64 (fma.f64 x y x)))
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(*.f64 (*.f64 x y) (*.f64 (neg.f64 y) x))
(*.f64 (*.f64 (*.f64 (neg.f64 y) x) x) y)
(*.f64 (*.f64 (neg.f64 y) x) (*.f64 x y))
(*.f64 (neg.f64 y) (*.f64 (*.f64 x y) x))
(*.f64 x (*.f64 (neg.f64 y) (*.f64 x y)))
(*.f64 x (*.f64 (*.f64 (neg.f64 y) x) y))
(*.f64 y (*.f64 (*.f64 (neg.f64 y) x) x))
(neg.f64 (*.f64 (*.f64 (*.f64 x y) y) x))
(*.f64 (*.f64 x x) (neg.f64 y))
(*.f64 (*.f64 (neg.f64 y) x) x)
(*.f64 (neg.f64 y) (*.f64 x x))
(*.f64 x (*.f64 (neg.f64 y) x))
(neg.f64 (*.f64 (*.f64 x y) x))

eval197.0ms (3%)

Memory
26.1MiB live, 302.3MiB allocated
Compiler

Compiled 38 191 to 2 726 computations (92.9% saved)

prune215.0ms (3.3%)

Memory
4.0MiB live, 390.4MiB allocated
Pruning

11 alts after pruning (4 fresh and 7 done)

PrunedKeptTotal
New1 44441 448
Fresh000
Picked415
Done066
Total1 448111 459
Accuracy
100.0%
Counts
1 459 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓86.0%
(fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 x y))
50.7%
(/.f64 (*.f64 #s(approx (* (+ (* y y) 1) y) (*.f64 (*.f64 y y) y)) x) #s(approx (- 1 y) (neg.f64 y)))
62.6%
(/.f64 (*.f64 x y) #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y)))
62.6%
(/.f64 y (/.f64 #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y)) x))
62.6%
(/.f64 y #s(approx (/ 1 (+ (* x (neg y)) x)) (/.f64 #s(literal -1 binary64) (*.f64 y x))))
✓99.9%
(*.f64 (fma.f64 (neg.f64 y) x x) y)
✓62.6%
(*.f64 (/.f64 x #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y))) y)
✓55.4%
(*.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) y) x)
✓99.8%
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
✓62.6%
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
✓53.1%
#s(approx (* (* x y) (- 1 y)) (*.f64 y x))
Compiler

Compiled 337 to 123 computations (63.5% saved)

regimes22.0ms (0.3%)

Memory
13.9MiB live, 52.4MiB allocated
Counts
23 → 1
Calls
Call 1
Inputs
#s(approx (* (* x y) (- 1 y)) (*.f64 y x))
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x))
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
(*.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) y) x)
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(*.f64 (fma.f64 (neg.f64 y) x x) y)
(fma.f64 y x (*.f64 (*.f64 (neg.f64 y) y) x))
(fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 x y))
(*.f64 (/.f64 x #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y))) y)
(/.f64 y #s(approx (/ 1 (+ (* x (neg y)) x)) (/.f64 #s(literal -1 binary64) (*.f64 y x))))
(/.f64 (*.f64 x y) #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 x #s(approx (- 1 y) (neg.f64 y))) #s(approx (* (+ (* y y) 1) y) (*.f64 (*.f64 y y) y)))
(/.f64 (*.f64 #s(approx (* (+ (* y y) 1) y) (*.f64 (*.f64 y y) y)) x) #s(approx (- 1 y) (neg.f64 y)))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) #s(approx (* (+ (* y y) 1) y) (*.f64 (*.f64 y y) y)))
(/.f64 (*.f64 #s(approx (* (+ (* y y) 1) y) (*.f64 (*.f64 y y) y)) x) (-.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)))) y)
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) x)))
(/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) (-.f64 #s(literal 1 binary64) y))
(/.f64 y (/.f64 #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y)) x))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (neg.f64 y)) x) y) (fma.f64 x y x)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 x y x))) y)
Outputs
(*.f64 (fma.f64 (neg.f64 y) x x) y)
Calls

3 calls:

7.0ms
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
7.0ms
y
7.0ms
x
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes15.0ms (0.2%)

Memory
-48.8MiB live, 15.6MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (* (* x y) (- 1 y)) (*.f64 y x))
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x))
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
(*.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) y) x)
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
Outputs
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
Calls

3 calls:

10.0ms
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory
13.4MiB live, 13.4MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (* (* x y) (- 1 y)) (*.f64 y x))
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x))
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
(*.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) y) x)
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Outputs
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Calls

3 calls:

2.0ms
x
2.0ms
y
2.0ms
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes15.0ms (0.2%)

Memory
-26.6MiB live, 12.9MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (* (* x y) (- 1 y)) (*.f64 y x))
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x))
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
(*.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) y) x)
Outputs
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
#s(approx (* (* x y) (- 1 y)) (*.f64 y x))
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
Calls

3 calls:

10.0ms
x
2.0ms
y
2.0ms
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Results
AccuracySegmentsBranch
70.3%2x
98.3%3y
85.2%2(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes2.0ms (0%)

Memory
5.0MiB live, 5.0MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (* (* x y) (- 1 y)) (*.f64 y x))
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x))
Outputs
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x))
#s(approx (* (* x y) (- 1 y)) (*.f64 y x))
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x))
Calls

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
91.0%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory
12.1MiB live, 12.1MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

1.0ms
y
1.0ms
x
1.0ms
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Results
AccuracySegmentsBranch
53.1%1x
53.1%1(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
53.1%1y
Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch23.0ms (0.3%)

Memory
9.8MiB live, 47.8MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
8.0ms
0.7003580823929396
85.36910860856587
13.0ms
-1164762192.437463
-8.444911387713353e-5
Samples
12.0ms272×0valid
Compiler

Compiled 301 to 181 computations (39.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 4.0ms (78.4% of total)
ival-sub: 1.0ms (19.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
3.1MiB live, 3.1MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.7003580823929396
85.36910860856587
1.0ms
-1164762192.437463
-8.444911387713353e-5
Compiler

Compiled 301 to 181 computations (39.9% saved)

simplify9.0ms (0.1%)

Memory
-16.8MiB live, 21.2MiB allocated
Algorithm
1×egg-herbie
Rules
26×*-commutative_binary64
10×+-commutative_binary64
10×sub-neg_binary64
10×neg-sub0_binary64
10×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028118
144118
253118
363118
468118
571118
672118
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (fma.f64 (neg.f64 y) x x) y)
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
(if (<=.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) (*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) #s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x))))
#s(approx (* (* x y) (- 1 y)) (*.f64 y x))
Outputs
(*.f64 (fma.f64 (neg.f64 y) x x) y)
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
(if (<=.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) (*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))))
(if (<=.f64 y #s(literal -1 binary64)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (*.f64 x y)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (* (* x y) (- 1 y)) (*.f64 x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (*.f64 x y))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) #s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (* (* x y) (- 1 y)) (*.f64 x y)) #s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x))))
#s(approx (* (* x y) (- 1 y)) (*.f64 y x))
#s(approx (* (* x y) (- 1 y)) (*.f64 x y))

soundness728.0ms (11.1%)

Memory
17.5MiB live, 321.7MiB allocated
Rules
5 534×lower-fma.f32
5 528×lower-fma.f64
5 342×lower-*.f32
5 322×lower-*.f64
4 642×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
0913
13013
216513
3134313
0956212
025114
044110
1134102
2855102
08599102
027266
170266
2165266
3263266
4639266
52103266
64169266
75645266
86518266
97094266
107719266
08233266
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 126 to 49 computations (61.1% saved)

preprocess86.0ms (1.3%)

Memory
-17.2MiB live, 72.6MiB allocated
Remove

(negabs x)

Compiler

Compiled 230 to 84 computations (63.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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