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

Time bar (total: 7.0s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB 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)

sample1.0s (14.7%)

Memory
-24.4MiB live, 940.9MiB allocated
Samples
812.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 217.0ms
ival-mult: 151.0ms (69.5% of total)
ival-sub: 53.0ms (24.4% of total)
ival-true: 5.0ms (2.3% of total)
exact: 5.0ms (2.3% of total)
ival-assert: 3.0ms (1.4% of total)
Bogosity

explain82.0ms (1.2%)

Memory
-9.8MiB live, 84.4MiB 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
24.0ms512×0valid
Compiler

Compiled 59 to 31 computations (47.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 6.0ms (59.7% of total)
ival-sub: 3.0ms (29.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess61.0ms (0.9%)

Memory
3.1MiB live, 76.1MiB 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 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify18.0ms (0.3%)

Memory
27.2MiB live, 27.2MiB 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)

localize32.0ms (0.5%)

Memory
-22.2MiB live, 24.0MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 #s(literal 1 binary64) y)
accuracy0
(*.f64 x y)
accuracy0.078125
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Samples
28.0ms256×0valid
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 (61.8% of total)
ival-sub: 1.0ms (20.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
7.0MiB live, 7.0MiB 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) (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 (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt 1 (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 (* 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 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 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 (* 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 -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 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>) () ())) ())
#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) (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 (- 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 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 (- 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 -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
Calls

6 calls:

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

simplify146.0ms (2.1%)

Memory
16.0MiB live, 122.1MiB allocated
Algorithm
1×egg-herbie
Rules
4 438×lower-*.f64
4 438×lower-*.f32
4 216×lower-fma.f64
4 216×lower-fma.f32
1 642×cube-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027287
170266
2165266
3263266
4635266
52084266
64141266
75629266
86507266
97085266
107712266
08217266
Stop Event
1×iter limit
1×node limit
Counts
60 → 60
Calls
Call 1
Inputs
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* x y)
(* x y)
(* x y)
(* x y)
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 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)
(* -1 y)
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* -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)
(* -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)
(* x y)
(* x y)
(* x y)
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 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)
(* x y)
(* x y)
(* x y)
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)
(* 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 (* 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)
(* -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 (* 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)
(* -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)
(*.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)
(*.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)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)

rewrite176.0ms (2.5%)

Memory
5.6MiB live, 243.7MiB 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 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 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)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 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) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 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 y (pow.f64 y #s(literal 3 binary64))) (/.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 y (pow.f64 y #s(literal 3 binary64))) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 x (-.f64 #s(literal -1 binary64) (fma.f64 y y y))))
(*.f64 (/.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)))) (/.f64 y (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 y y y)))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 y (pow.f64 (fma.f64 (fma.f64 y y y) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) #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) (pow.f64 y #s(literal 6 binary64))))) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 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) (pow.f64 y #s(literal 9 binary64))))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 y x) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (pow.f64 (fma.f64 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) (pow.f64 y #s(literal 6 binary64))))) (pow.f64 (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) #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 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 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)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 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) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 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 y (pow.f64 y #s(literal 3 binary64))) #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) (pow.f64 y #s(literal 6 binary64))))) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 (/.f64 y (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 9 binary64))))) (/.f64 x (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 (/.f64 y (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (/.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) (pow.f64 y #s(literal 6 binary64))))) (/.f64 x (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 y x) (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 y y y) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 y (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 y y y) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) #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 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 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)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 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 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 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 y (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 x (/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))))
(*.f64 (/.f64 x (/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) (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 y (pow.f64 y #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)))) (/.f64 (+.f64 y (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 y y y)))))
(*.f64 (/.f64 x (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (+.f64 y (pow.f64 y #s(literal 4 binary64))) (pow.f64 (fma.f64 (fma.f64 y y y) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) #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 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 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)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 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 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) (/.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) (pow.f64 y #s(literal 6 binary64))))) (/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 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) (pow.f64 y #s(literal 9 binary64))))) (/.f64 (*.f64 y x) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (/.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) (pow.f64 y #s(literal 6 binary64))))) (/.f64 (*.f64 y x) (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 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) (pow.f64 y #s(literal 6 binary64))))) (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 (/.f64 x (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 9 binary64))))) (/.f64 y (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (/.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) (pow.f64 y #s(literal 6 binary64))))) (/.f64 y (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (-.f64 y (pow.f64 y #s(literal 3 binary64))))
(*.f64 (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (+.f64 y (pow.f64 y #s(literal 4 binary64))))
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 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))) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))))
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)))) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 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 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 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))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 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 y (pow.f64 y #s(literal 3 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 y y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (*.f64 (+.f64 y (pow.f64 y #s(literal 4 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (+.f64 y (pow.f64 y #s(literal 4 binary64))) x) (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) #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 (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 y y y)))))
(*.f64 (/.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
(*.f64 (/.f64 (+.f64 y (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)))) (/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 y y y)))))
(*.f64 (/.f64 (+.f64 y (pow.f64 y #s(literal 4 binary64))) (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 x (pow.f64 (fma.f64 (fma.f64 y y y) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)))) (/.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 y y y)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 y x) (pow.f64 (fma.f64 (fma.f64 y y y) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
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(fma.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (fma.f64 y y y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 y y y)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 y) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64))
(fma.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 y y y) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 y y y)))))
(fma.f64 (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 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)))) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (-.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 y y))) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (-.f64 #s(literal -1 binary64) (fma.f64 y y y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y))) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (neg.f64 y) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 y y y)))))
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #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)))) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 y y y)))))
(fma.f64 #s(literal 1 binary64) (neg.f64 y) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) y #s(literal 1 binary64))
(fma.f64 y #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 y #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y y #s(literal 1 binary64)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y y #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)))
(-.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -2 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))) (/.f64 (pow.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))))
(-.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))))) (/.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))))))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -2 binary64)) (+.f64 (pow.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))))) (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -2 binary64)) (+.f64 (pow.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))))))
(-.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -3 binary64)) (+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))))))) (/.f64 (*.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))))))))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))))
(-.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal 2 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) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (pow.f64 y #s(literal 9 binary64)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 y #s(literal 3 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 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 y #s(literal 3 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)) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal -1 binary64) y))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (*.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 (pow.f64 y #s(literal 3 binary64)) (-.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 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (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 (pow.f64 y #s(literal 3 binary64)) (-.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))

eval71.0ms (1%)

Memory
6.1MiB live, 128.7MiB allocated
Compiler

Compiled 11 115 to 1 282 computations (88.5% saved)

prune122.0ms (1.7%)

Memory
-9.6MiB live, 147.7MiB allocated
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New4769485
Fresh000
Picked011
Done000
Total47610486
Accuracy
100.0%
Counts
486 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.8%
(fma.f64 y x (*.f64 (*.f64 (neg.f64 y) y) x))
68.2%
(/.f64 (*.f64 (+.f64 y (pow.f64 y #s(literal 4 binary64))) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))
▶99.9%
(/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
▶93.3%
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y)))
72.6%
(*.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)))
▶99.9%
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
✓99.9%
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
▶63.2%
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
58.1%
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x))
▶57.7%
#s(approx (* (* x y) (- 1 y)) (*.f64 y x))
Compiler

Compiled 179 to 132 computations (26.3% saved)

simplify156.0ms (2.2%)

Memory
-11.5MiB live, 61.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 1 binary64) y)
cost-diff0
(pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
cost-diff0
(*.f64 y x)
cost-diff6848
(/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
cost-diff0
(-.f64 #s(literal 1 binary64) y)
cost-diff0
(*.f64 y x)
cost-diff0
(/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y))
cost-diff0
(fma.f64 y y #s(literal 1 binary64))
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
2 328×lower-fma.f32
2 326×lower-fma.f64
1 432×lower-*.f32
1 420×lower-*.f64
570×times-frac
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
021113
034111
161111
2121111
3238110
4520110
5723110
61501110
72355110
82886110
93207110
103402110
113478110
123591110
133630110
143633110
153634110
163634110
173634110
03634110
Stop Event
1×iter limit
1×saturated
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 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y)))
(fma.f64 y y #s(literal 1 binary64))
y
#s(literal 1 binary64)
(/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y))
(*.f64 y x)
x
(-.f64 #s(literal 1 binary64) y)
(/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 y x)
y
x
(pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
#s(literal -1 binary64)
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 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) (-.f64 #s(literal 1 binary64) y)) x)
(fma.f64 y y #s(literal 1 binary64))
y
#s(literal 1 binary64)
(/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) x)
(*.f64 y x)
(*.f64 x y)
x
(-.f64 #s(literal 1 binary64) y)
(/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)
(*.f64 y x)
(*.f64 x y)
y
x
(pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
#s(literal -1 binary64)

localize114.0ms (1.6%)

Memory
13.5MiB live, 120.4MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 #s(literal 1 binary64) y)
accuracy0
(*.f64 y x)
accuracy0.01953125
(pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
accuracy0.06640625
(/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
accuracy0
(-.f64 #s(literal 1 binary64) y)
accuracy0
(*.f64 y x)
accuracy3.3241355006128557
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y)))
accuracy7.301929655853508
(/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y))
accuracy0
(*.f64 x y)
accuracy0
(neg.f64 y)
accuracy0.078125
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
accuracy32.13552636380134
#s(approx (- 1 y) (neg.f64 y))
accuracy0
(*.f64 y x)
accuracy27.050317376372767
#s(approx (* (* x y) (- 1 y)) (*.f64 y x))
accuracy0
(-.f64 #s(literal 1 binary64) y)
accuracy0.01953125
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
accuracy0.06640625
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
Samples
78.0ms256×0valid
Compiler

Compiled 107 to 19 computations (82.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 10.0ms (43.6% of total)
ival-sub: 4.0ms (17.4% of total)
ival-div: 3.0ms (13.1% of total)
ival-pow: 3.0ms (13.1% of total)
ival-add: 1.0ms (4.4% of total)
ival-neg: 1.0ms (4.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series22.0ms (0.3%)

Memory
11.9MiB live, 47.4MiB allocated
Counts
14 → 276
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 (fma.f64 y y #s(literal 1 binary64)) (patch (fma.f64 y y #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) (patch (/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y))) (patch (*.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y))) #<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>) () ())) ())
#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>) () ())) ())
#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 (* x y) (taylor 0 y) (#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 (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#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 (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#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 (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#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) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#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 (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#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 (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#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 (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#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 (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (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 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 y y #s(literal 1 binary64)) (patch (fma.f64 y y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 y y #s(literal 1 binary64)) (patch (fma.f64 y y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 y y #s(literal 1 binary64)) (patch (fma.f64 y y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 y y #s(literal 1 binary64)) (patch (fma.f64 y y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* x y))) (taylor 0 y) (#s(alt (/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* y (- (* x y) (* -1 x))))) (taylor 0 y) (#s(alt (/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x))))) (taylor 0 y) (#s(alt (/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) (patch (/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) (patch (/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) (patch (/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) (patch (/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ 1 y))) (taylor 0 y) (#s(alt (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ 1 (* y (+ 1 y))))) (taylor 0 y) (#s(alt (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y))) (patch (*.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* x y))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y))) (patch (*.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* y (- (* y (- x (* -1 x))) (* -1 x))))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y))) (patch (*.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* y (- (* y (- (+ x (* y (- x (* -1 x)))) (* -1 x))) (* -1 x))))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y))) (patch (*.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) 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>) () ())) ())
#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 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 (* 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 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 (* x (pow y 2))) (taylor inf y) (#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 (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor inf y) (#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 (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor inf y) (#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 (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor inf y) (#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) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (pow y 2))) (taylor inf y) (#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 (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor inf y) (#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 (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor inf y) (#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 (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor inf y) (#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 (* 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>) () ())) ())
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#s(alt (/ (* x (* y (+ 1 (pow y 2)))) (- 1 y)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y))) (patch (*.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (* y (+ 1 (pow y 2)))) (- 1 y)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y))) (patch (*.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (* y (+ 1 (pow y 2)))) (- 1 y)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y))) (patch (*.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
6.0ms
x
@-inf
((* (* (- 1 y) x) y) (* (- 1 y) x) (- 1 y) (* (* x y) (- 1 y)) (* y x) (* (* x y) (- 1 y)) (* x y) (- 1 y) (neg y) (+ (* y y) 1) (/ (* y x) (- 1 y)) (/ (* y x) (pow (- 1 y) -1)) (pow (- 1 y) -1) (* (+ (* y y) 1) (/ (* y x) (- 1 y))))
3.0ms
x
@0
((* (* (- 1 y) x) y) (* (- 1 y) x) (- 1 y) (* (* x y) (- 1 y)) (* y x) (* (* x y) (- 1 y)) (* x y) (- 1 y) (neg y) (+ (* y y) 1) (/ (* y x) (- 1 y)) (/ (* y x) (pow (- 1 y) -1)) (pow (- 1 y) -1) (* (+ (* y y) 1) (/ (* y x) (- 1 y))))
2.0ms
x
@inf
((* (* (- 1 y) x) y) (* (- 1 y) x) (- 1 y) (* (* x y) (- 1 y)) (* y x) (* (* x y) (- 1 y)) (* x y) (- 1 y) (neg y) (+ (* y y) 1) (/ (* y x) (- 1 y)) (/ (* y x) (pow (- 1 y) -1)) (pow (- 1 y) -1) (* (+ (* y y) 1) (/ (* y x) (- 1 y))))
2.0ms
y
@-inf
((* (* (- 1 y) x) y) (* (- 1 y) x) (- 1 y) (* (* x y) (- 1 y)) (* y x) (* (* x y) (- 1 y)) (* x y) (- 1 y) (neg y) (+ (* y y) 1) (/ (* y x) (- 1 y)) (/ (* y x) (pow (- 1 y) -1)) (pow (- 1 y) -1) (* (+ (* y y) 1) (/ (* y x) (- 1 y))))
1.0ms
y
@inf
((* (* (- 1 y) x) y) (* (- 1 y) x) (- 1 y) (* (* x y) (- 1 y)) (* y x) (* (* x y) (- 1 y)) (* x y) (- 1 y) (neg y) (+ (* y y) 1) (/ (* y x) (- 1 y)) (/ (* y x) (pow (- 1 y) -1)) (pow (- 1 y) -1) (* (+ (* y y) 1) (/ (* y x) (- 1 y))))

simplify175.0ms (2.5%)

Memory
7.5MiB live, 206.9MiB allocated
Algorithm
1×egg-herbie
Rules
15 462×lower-fma.f64
15 462×lower-fma.f32
3 382×lower-*.f64
3 382×lower-*.f32
2 130×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01331808
14381645
211301607
340241587
080811566
Stop Event
1×iter limit
1×node limit
Counts
276 → 275
Calls
Call 1
Inputs
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
x
(+ x (* -1 (* x y)))
(+ x (* -1 (* x y)))
(+ x (* -1 (* x y)))
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* x y)
(* x y)
(* x y)
(* x y)
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
1
(+ 1 (pow y 2))
(+ 1 (pow y 2))
(+ 1 (pow y 2))
(* x y)
(* y (+ x (* x y)))
(* y (+ x (* y (- (* x y) (* -1 x)))))
(* y (+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x)))))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
1
(+ 1 y)
(+ 1 (* y (+ 1 y)))
(+ 1 (* y (+ 1 (* y (+ 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) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* -1 (* x y))
(* y (+ (* -1 x) (/ x y)))
(* y (+ (* -1 x) (/ x y)))
(* y (+ (* -1 x) (/ x y)))
(* -1 y)
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* -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)
(* -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)
(* -1 y)
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* -1 x)
(+ (* -1 x) (* -1 (/ x y)))
(- (+ (* -1 x) (* -1 (/ x (pow y 2)))) (/ x y))
(- (+ (* -1 x) (* -1 (/ x (pow y 3)))) (+ (/ x y) (/ x (pow y 2))))
(* -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 y)
(* -1 (/ (+ 1 (/ 1 y)) y))
(/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y)
(/ (- (* -1 (/ (+ 1 (/ 1 y)) (pow y 2))) (+ 1 (/ 1 y))) y)
(* -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) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -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)))))
(* -1 y)
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 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)
(* -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)
(* -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)
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* -1 x)
(+ (* -1 x) (* -1 (/ x y)))
(+ (* -1 x) (* -1 (/ (+ x (/ x y)) y)))
(+ (* -1 x) (* -1 (/ (+ x (* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y))) 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 y)
(* -1 (/ (+ 1 (/ 1 y)) y))
(* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))) y))
(* -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 (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 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)
(* 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 (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 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 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)
(* 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 (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 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 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)
(* 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 (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))
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)
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
#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)
(* 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)
(* 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)
(* 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)
(* 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)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
1
#s(literal 1 binary64)
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(* x y)
(*.f64 y x)
(* y (+ x (* x y)))
(*.f64 (fma.f64 y x x) y)
(* y (+ x (* y (- (* x y) (* -1 x)))))
(*.f64 (fma.f64 (fma.f64 y x x) y x) y)
(* y (+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x)))))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 y x x)) 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
#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)))
(* 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 #s(literal 2 binary64) 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 y #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) x) y) x) 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) 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 y))
(*.f64 (neg.f64 x) y)
(* 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 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 (* 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)
(* -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)
(* -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)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (* -1 (/ x y)))
(-.f64 (/.f64 (neg.f64 x) y) x)
(- (+ (* -1 x) (* -1 (/ x (pow y 2)))) (/ x y))
(-.f64 (/.f64 (-.f64 (/.f64 (neg.f64 x) y) x) y) x)
(- (+ (* -1 x) (* -1 (/ x (pow y 3)))) (+ (/ x y) (/ x (pow y 2))))
(*.f64 (+.f64 (/.f64 x y) x) (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) #s(literal 1 binary64)))
(* -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 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 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y))))
(*.f64 (fma.f64 y y y) (neg.f64 x))
(* (pow y 2) (- (+ (* -1 x) (* -1 (/ x (pow y 2)))) (+ (/ x y) (/ x (pow y 2)))))
(*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 (/.f64 x y) #s(literal 2 binary64) x) y) x) y) (neg.f64 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 (fma.f64 #s(literal 2 binary64) (/.f64 (/.f64 (-.f64 (/.f64 (neg.f64 x) y) x) y) y) (-.f64 (/.f64 (neg.f64 x) y) x)) (*.f64 y 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) 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 y))
(*.f64 (neg.f64 x) y)
(* -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 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 (* 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)
(* -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)
(* -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)
(* -1 y)
(neg.f64 y)
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (* -1 (/ x y)))
(-.f64 (/.f64 (neg.f64 x) y) x)
(+ (* -1 x) (* -1 (/ (+ x (/ x y)) y)))
(-.f64 (/.f64 (-.f64 (/.f64 (neg.f64 x) y) x) y) x)
(+ (* -1 x) (* -1 (/ (+ x (* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y))) y)))
(*.f64 (+.f64 (/.f64 x y) x) (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) #s(literal 1 binary64)))
(* -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 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 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y))))
(*.f64 (fma.f64 y y y) (neg.f64 x))
(* (pow y 2) (+ (* -1 x) (* -1 (/ (- (+ x (/ x y)) (* -1 (/ x y))) y))))
(*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 (/.f64 x y) #s(literal 2 binary64) x) y) x) y) (neg.f64 y))
(* (pow y 2) (+ (* -1 x) (* -1 (/ (+ x (* -1 (/ (- (+ (* -1 (- x (* -1 x))) (* -1 (/ x y))) (/ x y)) y))) y))))
(*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 x y) x)) y) x) y) x) y) 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 (- 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 (* 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)
(* 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)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(/ (* x y) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) y)
(/ (* x y) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) y)
(/ (* x y) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) y)
(/ (* x y) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) 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 (pow y 2)))) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) y))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) y))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) y))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (+.f64 (pow.f64 y #s(literal 3 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 (- 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 (* 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)
(* 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)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(/ (* x y) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) y)
(/ (* x y) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) y)
(/ (* x y) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) y)
(/ (* x y) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) 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 (pow y 2)))) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) y))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) y))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) y))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (+.f64 (pow.f64 y #s(literal 3 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 (- 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 (* 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)
(* 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)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(/ (* x y) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) y)
(/ (* x y) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) y)
(/ (* x y) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) y)
(/ (* x y) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) 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 (pow y 2)))) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) y))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) y))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) y))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) y))

rewrite424.0ms (6%)

Memory
-15.6MiB live, 278.3MiB allocated
Rules
4 404×lower-*.f32
4 392×lower-*.f64
3 736×lower-/.f32
3 732×lower-/.f64
3 184×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02187
03485
110485
260985
3739585
0861985
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
14 → 1 097
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)
(fma.f64 y y #s(literal 1 binary64))
(/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y)))
Outputs
(*.f64 (/.f64 (*.f64 (+.f64 y (pow.f64 (neg.f64 y) #s(literal 3 binary64))) x) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (+.f64 y (pow.f64 (neg.f64 y) #s(literal 3 binary64))) x) (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) y) x) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 y y y)))
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) y) x) (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 y y y) (-.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 x y) #s(literal -1 binary64)) (-.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (neg.f64 y) x) #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) y)
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)))) (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64)))) (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 x y) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))) (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64))) (/.f64 (*.f64 x y) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)))))
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (neg.f64 y) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64))) (/.f64 x (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)))))
(*.f64 (/.f64 x (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)))) (/.f64 (neg.f64 y) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64))))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 y) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64))) (/.f64 y (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)))))
(*.f64 (/.f64 y (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)))) (/.f64 (neg.f64 x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64))))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))))
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64)))) (/.f64 y (+.f64 y #s(literal 1 binary64))))
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(fma.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (*.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (pow.f64 y #s(literal 3 binary64))))
(fma.f64 (fma.f64 y y y) (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) x))
(fma.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 y) x) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (pow.f64 y #s(literal 3 binary64))))
(fma.f64 (*.f64 (neg.f64 y) x) (*.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 y y)) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) x))
(fma.f64 (*.f64 (neg.f64 y) x) (*.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (pow.f64 y #s(literal 3 binary64))))
(fma.f64 (*.f64 (neg.f64 y) x) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (pow.f64 y #s(literal 3 binary64))))
(fma.f64 (*.f64 y y) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) x))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (*.f64 (*.f64 x y) (*.f64 y y)) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) x))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (pow.f64 y #s(literal 3 binary64))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (*.f64 x y) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (pow.f64 y #s(literal 3 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 x (/.f64 y (-.f64 y #s(literal 1 binary64)))) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (pow.f64 y #s(literal 3 binary64))))
(fma.f64 (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) x) (*.f64 y y) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) x))
(fma.f64 (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) x) #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (pow.f64 y #s(literal 3 binary64))))
(fma.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 y (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))
(fma.f64 (neg.f64 y) (*.f64 x (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (pow.f64 y #s(literal 3 binary64))))
(fma.f64 (neg.f64 y) (/.f64 x (-.f64 y #s(literal 1 binary64))) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (pow.f64 y #s(literal 3 binary64))))
(fma.f64 (*.f64 x y) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (*.f64 y y)) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) x))
(fma.f64 (*.f64 x y) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (pow.f64 y #s(literal 3 binary64))))
(fma.f64 x (*.f64 (neg.f64 y) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (pow.f64 y #s(literal 3 binary64))))
(fma.f64 x (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) (*.f64 y y)) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) x))
(fma.f64 x (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (pow.f64 y #s(literal 3 binary64))))
(fma.f64 x (/.f64 y (-.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (pow.f64 y #s(literal 3 binary64))))
(fma.f64 y (*.f64 y (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) x)) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) x))
(fma.f64 y (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 y y)) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) x))
(fma.f64 y (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (pow.f64 y #s(literal 3 binary64))))
(fma.f64 y (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64)))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64))))))
(fma.f64 y (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (pow.f64 y #s(literal 3 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64)))) (*.f64 y (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64))))))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (fma.f64 y y y) (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) x))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) x) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (pow.f64 y #s(literal 3 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)) (/.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) x)))
(-.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (pow.f64 y #s(literal 3 binary64))) (*.f64 x (/.f64 y (-.f64 y #s(literal 1 binary64)))))
(+.f64 (*.f64 y (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64))))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64))))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64))))) (*.f64 y (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64))))))
(+.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 y (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))
(+.f64 (*.f64 (fma.f64 y y y) (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (fma.f64 y y y) (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))))
(+.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64)))) y) (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64)))) y))
(+.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 y y #s(literal 1 binary64))) (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) y))
(+.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 y y y)) (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 y y y)))
(+.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) x))
(+.f64 (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) x) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (pow.f64 y #s(literal 3 binary64))))

eval527.0ms (7.5%)

Memory
-83.5MiB live, 412.0MiB allocated
Compiler

Compiled 28 053 to 2 916 computations (89.6% saved)

prune244.0ms (3.5%)

Memory
-10.3MiB live, 529.7MiB allocated
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1 67461 680
Fresh314
Picked235
Done101
Total1 680101 690
Accuracy
100.0%
Counts
1 690 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶94.8%
(fma.f64 y x (*.f64 (*.f64 (neg.f64 y) y) x))
▶63.2%
(/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)))
99.7%
(/.f64 y (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x))
▶99.9%
(*.f64 (fma.f64 (neg.f64 y) x x) y)
71.9%
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 x (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64))))))
▶85.2%
(*.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)
▶58.1%
(*.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) y) x)
✓63.2%
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
✓57.7%
#s(approx (* (* x y) (- 1 y)) (*.f64 y x))
Compiler

Compiled 158 to 118 computations (25.3% saved)

simplify235.0ms (3.4%)

Memory
-0.1MiB live, 99.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 y y #s(literal 1 binary64))
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
(/.f64 #s(literal -1 binary64) y)
cost-diff0
#s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))
cost-diff0
(*.f64 y x)
cost-diff0
(/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)))
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 (neg.f64 y) y)
cost-diff0
(*.f64 (*.f64 (neg.f64 y) y) x)
cost-diff320
(fma.f64 y x (*.f64 (*.f64 (neg.f64 y) y) x))
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
2 504×lower-fma.f32
2 498×lower-fma.f64
1 608×lower-*.f32
1 592×lower-*.f64
1 006×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
024131
042129
174129
2157127
3320127
4513127
51149127
62888127
74062127
84755127
94998127
105107127
115119127
125261127
135362127
145364127
155364127
165364127
175364127
185392127
195433127
205433127
05433127
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 y x (*.f64 (*.f64 (neg.f64 y) y) x))
y
x
(*.f64 (*.f64 (neg.f64 y) y) x)
(*.f64 (neg.f64 y) y)
(neg.f64 y)
(/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)))
(*.f64 y x)
y
x
#s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))
(/.f64 #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 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))
Outputs
(*.f64 (fma.f64 (neg.f64 y) x x) y)
(*.f64 (fma.f64 x (neg.f64 y) x) y)
(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 y x (*.f64 (*.f64 (neg.f64 y) y) x))
(*.f64 (fma.f64 x (neg.f64 y) x) y)
y
x
(*.f64 (*.f64 (neg.f64 y) y) x)
(*.f64 (neg.f64 y) y)
(neg.f64 y)
(/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (*.f64 x y) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)))
(*.f64 y x)
(*.f64 x y)
y
x
#s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))
(/.f64 #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 (pow.f64 y #s(literal 3 binary64)) 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
(*.f64 (fma.f64 y y #s(literal 1 binary64)) y)
(+.f64 (pow.f64 y #s(literal 3 binary64)) y)
(fma.f64 y y #s(literal 1 binary64))

localize92.0ms (1.3%)

Memory
14.3MiB live, 128.6MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 #s(literal 1 binary64) y)
accuracy0.015625
(/.f64 x (-.f64 #s(literal 1 binary64) y))
accuracy0.0625
(*.f64 (fma.f64 y y #s(literal 1 binary64)) y)
accuracy8.501125391125868
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) y))
accuracy0
(/.f64 #s(literal -1 binary64) y)
accuracy0
(*.f64 y x)
accuracy0.06640625
(/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)))
accuracy32.308413519384914
#s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))
accuracy0
(*.f64 (neg.f64 y) y)
accuracy0
(neg.f64 y)
accuracy0.00390625
(fma.f64 y x (*.f64 (*.f64 (neg.f64 y) y) x))
accuracy5.373532370145316
(*.f64 (*.f64 (neg.f64 y) y) x)
accuracy0
(neg.f64 y)
accuracy0.015625
(*.f64 #s(approx (- 1 y) (neg.f64 y)) y)
accuracy3.3319480006128557
(*.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) y) x)
accuracy32.13552636380134
#s(approx (- 1 y) (neg.f64 y))
accuracy0
(fma.f64 (neg.f64 y) x x)
accuracy0
(neg.f64 y)
accuracy0.06640625
(*.f64 (fma.f64 (neg.f64 y) x x) y)
Samples
77.0ms256×0valid
Compiler

Compiled 122 to 25 computations (79.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-mult: 31.0ms (49% of total)
ival-pow: 18.0ms (28.4% of total)
ival-add: 6.0ms (9.5% of total)
ival-div: 5.0ms (7.9% of total)
ival-sub: 1.0ms (1.6% of total)
ival-neg: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series34.0ms (0.5%)

Memory
-7.6MiB live, 35.4MiB 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 y x (*.f64 (*.f64 (neg.f64 y) y) x)) (patch (fma.f64 y x (*.f64 (*.f64 (neg.f64 y) y) x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (neg.f64 y) y) x) (patch (*.f64 (*.f64 (neg.f64 y) y) x) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) (patch (/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())
#s(alt #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) (patch #s(approx (pow (- 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 (-.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 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())
#s(alt (fma.f64 y y #s(literal 1 binary64)) (patch (fma.f64 y y #s(literal 1 binary64)) #<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>) () ())
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 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 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* x 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 y (taylor 0 y) (#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 (* y (+ 1 (* -1 y))) (taylor 0 y) (#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 (* y (+ 1 (* -1 y))) (taylor 0 y) (#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 (* y (+ 1 (* -1 y))) (taylor 0 y) (#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 1 (taylor 0 y) (#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (fma.f64 y x (*.f64 (*.f64 (neg.f64 y) y) x)) (patch (fma.f64 y x (*.f64 (*.f64 (neg.f64 y) y) x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (fma.f64 y x (*.f64 (*.f64 (neg.f64 y) y) x)) (patch (fma.f64 y x (*.f64 (*.f64 (neg.f64 y) y) x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (fma.f64 y x (*.f64 (*.f64 (neg.f64 y) y) x)) (patch (fma.f64 y x (*.f64 (*.f64 (neg.f64 y) y) x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (fma.f64 y x (*.f64 (*.f64 (neg.f64 y) y) x)) (patch (fma.f64 y x (*.f64 (*.f64 (neg.f64 y) y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (neg.f64 y) y) x) (patch (*.f64 (*.f64 (neg.f64 y) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (neg.f64 y) y) x) (patch (*.f64 (*.f64 (neg.f64 y) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (neg.f64 y) y) x) (patch (*.f64 (*.f64 (neg.f64 y) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (neg.f64 y) y) x) (patch (*.f64 (*.f64 (neg.f64 y) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) (patch (/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) (patch (/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) (patch (/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) (patch (/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) (patch #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 y) (#s(alt #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) (patch #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ 1 y))) (taylor 0 y) (#s(alt #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) (patch #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ 1 (* y (+ 1 y))))) (taylor 0 y) (#s(alt #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) (patch #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#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 (* y (+ x (* x y))) (taylor 0 y) (#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 (* y (+ x (* y (- (* y (- x (* -1 x))) (* -1 x))))) (taylor 0 y) (#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 (* y (+ x (* y (- (* y (- (+ x (* y (- x (* -1 x)))) (* -1 x))) (* -1 x))))) (taylor 0 y) (#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 x (taylor 0 y) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* x y) (* -1 x)))) (taylor 0 y) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x)))) (taylor 0 y) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt 1 (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 (taylor 0 y) (#s(alt (fma.f64 y y #s(literal 1 binary64)) (patch (fma.f64 y y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 y y #s(literal 1 binary64)) (patch (fma.f64 y y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 y y #s(literal 1 binary64)) (patch (fma.f64 y y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 y y #s(literal 1 binary64)) (patch (fma.f64 y y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#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 (* y (+ 1 (pow y 2))) (taylor 0 y) (#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 (* y (+ 1 (pow y 2))) (taylor 0 y) (#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 (* y (+ 1 (pow y 2))) (taylor 0 y) (#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 (* -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 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 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 (* 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>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (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>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (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>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (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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#s(alt (/ (* x (* y (+ 1 (pow y 2)))) (- 1 y)) (taylor inf x) (#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 (/ (* x (* y (+ 1 (pow y 2)))) (- 1 y)) (taylor inf x) (#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 (/ (* x (* y (+ 1 (pow y 2)))) (- 1 y)) (taylor inf x) (#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 (/ (* x (* y (+ 1 (pow y 2)))) (- 1 y)) (taylor inf x) (#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 (/ x (- 1 y)) (taylor inf x) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor inf x) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor inf x) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor inf x) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y (- 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 (* -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 (* x (* y (- 1 y))) (taylor -inf x) (#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 (* x (* y (- 1 y))) (taylor -inf x) (#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 (* x (* y (- 1 y))) (taylor -inf x) (#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 (* x (* y (- 1 y))) (taylor -inf x) (#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 (+ (* -1 y) (pow y 2)))) (taylor -inf x) (#s(alt (fma.f64 y x (*.f64 (*.f64 (neg.f64 y) y) x)) (patch (fma.f64 y x (*.f64 (*.f64 (neg.f64 y) y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (pow y 2)))) (taylor -inf x) (#s(alt (fma.f64 y x (*.f64 (*.f64 (neg.f64 y) y) x)) (patch (fma.f64 y x (*.f64 (*.f64 (neg.f64 y) y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (pow y 2)))) (taylor -inf x) (#s(alt (fma.f64 y x (*.f64 (*.f64 (neg.f64 y) y) x)) (patch (fma.f64 y x (*.f64 (*.f64 (neg.f64 y) y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (pow y 2)))) (taylor -inf x) (#s(alt (fma.f64 y x (*.f64 (*.f64 (neg.f64 y) y) x)) (patch (fma.f64 y x (*.f64 (*.f64 (neg.f64 y) y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 y) y) x) (patch (*.f64 (*.f64 (neg.f64 y) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 y) y) x) (patch (*.f64 (*.f64 (neg.f64 y) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 y) y) x) (patch (*.f64 (*.f64 (neg.f64 y) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 y) y) x) (patch (*.f64 (*.f64 (neg.f64 y) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) (patch (/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) (patch (/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) (patch (/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) (patch (/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (* y (+ 1 (pow y 2)))) (- 1 y)) (taylor -inf x) (#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 (/ (* x (* y (+ 1 (pow y 2)))) (- 1 y)) (taylor -inf x) (#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 (/ (* x (* y (+ 1 (pow y 2)))) (- 1 y)) (taylor -inf x) (#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 (/ (* x (* y (+ 1 (pow y 2)))) (- 1 y)) (taylor -inf x) (#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 (/ x (- 1 y)) (taylor -inf x) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
12.0ms
y
@inf
((* (+ (* (neg y) x) x) y) (+ (* (neg y) x) x) (neg y) (* (* (- 1 y) y) x) (* (- 1 y) y) (- 1 y) (+ (* y x) (* (* (neg y) y) x)) (* (* (neg y) y) x) (* (neg y) y) (/ (* y x) (pow (- 1 y) -1)) (* y x) (pow (- 1 y) -1) (/ -1 y) (* (/ x (- 1 y)) (* (+ (* y y) 1) y)) (/ x (- 1 y)) (- 1 y) (+ (* y y) 1) (* (+ (* y y) 1) y))
5.0ms
x
@inf
((* (+ (* (neg y) x) x) y) (+ (* (neg y) x) x) (neg y) (* (* (- 1 y) y) x) (* (- 1 y) y) (- 1 y) (+ (* y x) (* (* (neg y) y) x)) (* (* (neg y) y) x) (* (neg y) y) (/ (* y x) (pow (- 1 y) -1)) (* y x) (pow (- 1 y) -1) (/ -1 y) (* (/ x (- 1 y)) (* (+ (* y y) 1) y)) (/ x (- 1 y)) (- 1 y) (+ (* y y) 1) (* (+ (* y y) 1) y))
3.0ms
x
@0
((* (+ (* (neg y) x) x) y) (+ (* (neg y) x) x) (neg y) (* (* (- 1 y) y) x) (* (- 1 y) y) (- 1 y) (+ (* y x) (* (* (neg y) y) x)) (* (* (neg y) y) x) (* (neg y) y) (/ (* y x) (pow (- 1 y) -1)) (* y x) (pow (- 1 y) -1) (/ -1 y) (* (/ x (- 1 y)) (* (+ (* y y) 1) y)) (/ x (- 1 y)) (- 1 y) (+ (* y y) 1) (* (+ (* y y) 1) y))
3.0ms
x
@-inf
((* (+ (* (neg y) x) x) y) (+ (* (neg y) x) x) (neg y) (* (* (- 1 y) y) x) (* (- 1 y) y) (- 1 y) (+ (* y x) (* (* (neg y) y) x)) (* (* (neg y) y) x) (* (neg y) y) (/ (* y x) (pow (- 1 y) -1)) (* y x) (pow (- 1 y) -1) (/ -1 y) (* (/ x (- 1 y)) (* (+ (* y y) 1) y)) (/ x (- 1 y)) (- 1 y) (+ (* y y) 1) (* (+ (* y y) 1) y))
2.0ms
y
@-inf
((* (+ (* (neg y) x) x) y) (+ (* (neg y) x) x) (neg y) (* (* (- 1 y) y) x) (* (- 1 y) y) (- 1 y) (+ (* y x) (* (* (neg y) y) x)) (* (* (neg y) y) x) (* (neg y) y) (/ (* y x) (pow (- 1 y) -1)) (* y x) (pow (- 1 y) -1) (/ -1 y) (* (/ x (- 1 y)) (* (+ (* y y) 1) y)) (/ x (- 1 y)) (- 1 y) (+ (* y y) 1) (* (+ (* y y) 1) y))

simplify233.0ms (3.3%)

Memory
5.9MiB live, 230.5MiB allocated
Algorithm
1×egg-herbie
Rules
21 232×lower-fma.f64
21 232×lower-fma.f32
5 258×lower-*.f64
5 258×lower-*.f32
1 584×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01582070
15211880
213401850
367831842
085401812
Stop Event
1×iter limit
1×node limit
Counts
324 → 320
Calls
Call 1
Inputs
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
x
(+ x (* -1 (* x y)))
(+ x (* -1 (* x y)))
(+ x (* -1 (* x 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))))
y
(* y (+ 1 (* -1 y)))
(* y (+ 1 (* -1 y)))
(* y (+ 1 (* -1 y)))
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* x y)
(* x y)
(* x y)
(* x y)
1
(+ 1 y)
(+ 1 (* y (+ 1 y)))
(+ 1 (* y (+ 1 (* y (+ 1 y)))))
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -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)))))
x
(+ x (* x y))
(+ x (* y (- (* x y) (* -1 x))))
(+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x))))
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
1
(+ 1 (pow y 2))
(+ 1 (pow y 2))
(+ 1 (pow y 2))
y
(* y (+ 1 (pow y 2)))
(* y (+ 1 (pow y 2)))
(* y (+ 1 (pow y 2)))
(* -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 y))
(* y (+ (* -1 x) (/ x y)))
(* y (+ (* -1 x) (/ x y)))
(* y (+ (* -1 x) (/ x y)))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 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 (pow y 2))
(* (pow y 2) (- (/ 1 y) 1))
(* (pow y 2) (- (/ 1 y) 1))
(* (pow y 2) (- (/ 1 y) 1))
(* -1 y)
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* -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)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (* 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)
(/ -1 y)
(* -1 (/ (+ 1 (/ 1 y)) y))
(/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y)
(/ (- (* -1 (/ (+ 1 (/ 1 y)) (pow y 2))) (+ 1 (/ 1 y))) y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(* -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 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 y)
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 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 (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 y))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 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 (pow y 2))
(* (pow y 2) (- (/ 1 y) 1))
(* (pow y 2) (- (/ 1 y) 1))
(* (pow y 2) (- (/ 1 y) 1))
(* -1 y)
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 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)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (* 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)
(/ -1 y)
(* -1 (/ (+ 1 (/ 1 y)) y))
(* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))) y))
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(* -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))))
(* -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 y)
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 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 (+ 1 (* -1 y))))
(* x (* y (+ 1 (* -1 y))))
(* x (* y (+ 1 (* -1 y))))
(* x (* y (+ 1 (* -1 y))))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (* -1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (+ y (* -1 (pow y 2))))
(* x (+ y (* -1 (pow y 2))))
(* x (+ y (* -1 (pow y 2))))
(* x (+ y (* -1 (pow y 2))))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x y)
(* x y)
(* x y)
(* x 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 (- 1 y))
(/ x (- 1 y))
(/ x (- 1 y))
(/ x (- 1 y))
(* x (* y (+ 1 (* -1 y))))
(* x (* y (+ 1 (* -1 y))))
(* x (* y (+ 1 (* -1 y))))
(* x (* y (+ 1 (* -1 y))))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (* -1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (+ y (* -1 (pow y 2))))
(* x (+ y (* -1 (pow y 2))))
(* x (+ y (* -1 (pow y 2))))
(* x (+ y (* -1 (pow y 2))))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x y)
(* x y)
(* x y)
(* x 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 (- 1 y))
(/ x (- 1 y))
(/ x (- 1 y))
(/ x (- 1 y))
(* -1 (* x (* y (- y 1))))
(* -1 (* x (* y (- y 1))))
(* -1 (* x (* y (- y 1))))
(* -1 (* x (* y (- y 1))))
(* -1 (* x (- y 1)))
(* -1 (* x (- y 1)))
(* -1 (* x (- y 1)))
(* -1 (* x (- y 1)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* -1 (* x (+ (* -1 y) (pow y 2))))
(* -1 (* x (+ (* -1 y) (pow y 2))))
(* -1 (* x (+ (* -1 y) (pow y 2))))
(* -1 (* x (+ (* -1 y) (pow y 2))))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x y)
(* x y)
(* x y)
(* x 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 (- 1 y))
(/ x (- 1 y))
(/ x (- 1 y))
(/ x (- 1 y))
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)
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 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 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)
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
#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)
(* 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)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* 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)
(* 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 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 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 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 #s(literal 2 binary64) 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 #s(literal 2 binary64) x)) y x) y x) 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
#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
#s(literal 1 binary64)
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
y
(* y (+ 1 (pow y 2)))
(+.f64 (pow.f64 y #s(literal 3 binary64)) y)
(* y (+ 1 (pow y 2)))
(+.f64 (pow.f64 y #s(literal 3 binary64)) y)
(* y (+ 1 (pow y 2)))
(+.f64 (pow.f64 y #s(literal 3 binary64)) 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) 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 y))
(*.f64 (neg.f64 x) y)
(* 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 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 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) 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 (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 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 (* 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)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (* 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)
(/ -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 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) y) #s(literal 1 binary64)) y)
(/ (- (* -1 (/ (+ 1 (/ 1 y)) (pow y 2))) (+ 1 (/ 1 y))) y)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) y) #s(literal 1 binary64)) y) #s(literal 1 binary64)) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) 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)))))
(neg.f64 (fma.f64 (*.f64 y y) x (fma.f64 (-.f64 y #s(literal -1 binary64)) x 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 (-.f64 (neg.f64 (fma.f64 y x x)) (/.f64 x y)) (-.f64 (fma.f64 (*.f64 (neg.f64 y) y) x (neg.f64 x)) (/.f64 x y)))
(* -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 (/.f64 (-.f64 (/.f64 (neg.f64 x) y) x) y) x) y) x) 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)
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(pow y 3)
(pow.f64 y #s(literal 3 binary64))
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(+.f64 (pow.f64 y #s(literal 3 binary64)) y)
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(+.f64 (pow.f64 y #s(literal 3 binary64)) y)
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(+.f64 (pow.f64 y #s(literal 3 binary64)) 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) 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 y))
(*.f64 (neg.f64 x) y)
(* -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 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 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) 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 (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 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 (* 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)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
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(*.f64 (neg.f64 y) 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) 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)
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(/ -1 y)
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(/.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) y)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))) y))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) y) #s(literal 1 binary64)) y) #s(literal 1 binary64)) y)
(/ -1 y)
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(/ -1 y)
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(/ -1 y)
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(* -1 (* x (pow y 2)))
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(* (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))))
(neg.f64 (fma.f64 (*.f64 y y) x (fma.f64 (-.f64 y #s(literal -1 binary64)) x x)))
(* (pow y 2) (+ (* -1 x) (* -1 (/ (+ x (* -1 (/ (- (+ (* -1 (- x (* -1 x))) (* -1 (/ x y))) (/ x y)) y))) y))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) x)) y) x) y) x) (*.f64 y y))
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (/ (+ x (/ x y)) y))
(/.f64 (-.f64 (/.f64 (neg.f64 x) y) x) y)
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(/.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 (/.f64 (-.f64 (/.f64 (neg.f64 x) y) x) y) x) y) x) y)
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(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
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(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(+.f64 (pow.f64 y #s(literal 3 binary64)) y)
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(+.f64 (pow.f64 y #s(literal 3 binary64)) y)
(* x (* y (+ 1 (* -1 y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x (* y (+ 1 (* -1 y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x (* y (+ 1 (* -1 y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x (* y (+ 1 (* -1 y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x (+ 1 (* -1 y)))
(-.f64 x (*.f64 y x))
(* x (+ 1 (* -1 y)))
(-.f64 x (*.f64 y x))
(* x (+ 1 (* -1 y)))
(-.f64 x (*.f64 y x))
(* x (+ 1 (* -1 y)))
(-.f64 x (*.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 (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)
(* x (+ y (* -1 (pow y 2))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 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)
(* 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 x (-.f64 #s(literal 1 binary64) y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) y))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) y))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) y))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (+.f64 (pow.f64 y #s(literal 3 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 (* y (+ 1 (* -1 y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x (* y (+ 1 (* -1 y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x (* y (+ 1 (* -1 y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x (* y (+ 1 (* -1 y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x (+ 1 (* -1 y)))
(-.f64 x (*.f64 y x))
(* x (+ 1 (* -1 y)))
(-.f64 x (*.f64 y x))
(* x (+ 1 (* -1 y)))
(-.f64 x (*.f64 y x))
(* x (+ 1 (* -1 y)))
(-.f64 x (*.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 (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)
(* x (+ y (* -1 (pow y 2))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 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)
(* 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 x (-.f64 #s(literal 1 binary64) y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) y))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) y))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) y))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (+.f64 (pow.f64 y #s(literal 3 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))
(* -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 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 (* 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)
(* -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 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* 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)
(* 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 x (-.f64 #s(literal 1 binary64) y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) y))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) y))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) y))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (+.f64 (pow.f64 y #s(literal 3 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))

rewrite269.0ms (3.8%)

Memory
19.6MiB live, 334.8MiB allocated
Rules
11 764×lower-fma.f32
11 758×lower-fma.f64
5 674×lower-*.f32
5 658×lower-*.f64
3 292×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024115
042113
1148111
2929111
08649111
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
18 → 864
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 y x (*.f64 (*.f64 (neg.f64 y) y) x))
(*.f64 (*.f64 (neg.f64 y) y) x)
(*.f64 (neg.f64 y) y)
(/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)))
(*.f64 y x)
#s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))
(/.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 x (-.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 1 binary64) y)
(fma.f64 y y #s(literal 1 binary64))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) y)
Outputs
(*.f64 (*.f64 (fma.f64 x (neg.f64 y) x) #s(literal 1 binary64)) y)
(*.f64 (/.f64 (*.f64 (fma.f64 x (neg.f64 y) x) y) x) (/.f64 (*.f64 x (fma.f64 y y y)) (fma.f64 y y y)))
(*.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 y y) x (neg.f64 x))) y) (/.f64 #s(literal -1 binary64) (fma.f64 x y x)))
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) y) (pow.f64 (*.f64 x (fma.f64 (*.f64 y y) x (fma.f64 x y x))) #s(literal -1 binary64)))
(*.f64 (*.f64 y (*.f64 x (fma.f64 (*.f64 y y) x (neg.f64 x)))) (/.f64 #s(literal -1 binary64) (fma.f64 x y x)))
(*.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (pow.f64 (*.f64 x (fma.f64 (*.f64 y y) x (fma.f64 x y x))) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 x x) (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y))) (/.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 (fma.f64 x y x)))))
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 (pow.f64 y #s(literal 6 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) y)))))
(*.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 y y) (pow.f64 y #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (fma.f64 y y y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (*.f64 x y)))
(*.f64 (*.f64 x (fma.f64 (*.f64 y y) x (neg.f64 x))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y x)) y))
(*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 y y) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (*.f64 x (fma.f64 y y y)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x y)))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (*.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 y y) x (fma.f64 x y x))) #s(literal -1 binary64)) y))
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) y)) (*.f64 (*.f64 (fma.f64 x (neg.f64 y) x) y) (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) y)) #s(literal -1 binary64))))
(*.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x (*.f64 (*.f64 (*.f64 x x) y) (fma.f64 y y y)))))
(*.f64 (*.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) y)) #s(literal -1 binary64)))
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (fma.f64 x (neg.f64 y) x) y) (*.f64 (*.f64 x (fma.f64 y y y)) (pow.f64 (*.f64 x (fma.f64 y y y)) #s(literal -1 binary64))))
(*.f64 (*.f64 (fma.f64 x (neg.f64 y) x) y) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y))
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (neg.f64 y) x) y))
(*.f64 (fma.f64 x (neg.f64 y) x) y)
(*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) y))
(*.f64 y (fma.f64 x (neg.f64 y) x))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (neg.f64 y) x) y)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x (fma.f64 y y y))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x (fma.f64 y y y)))) (*.f64 (*.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x) (/.f64 x (fma.f64 y y y))) (*.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x) (/.f64 x (fma.f64 y y y))))) (+.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x (fma.f64 y y y))) (*.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x) (/.f64 x (fma.f64 y y y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x (fma.f64 y y y))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x) (/.f64 x (fma.f64 y y y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x (fma.f64 y y y))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x (fma.f64 y y y))) (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x) (/.f64 x (fma.f64 y y y))) (*.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x) (/.f64 x (fma.f64 y y y))) (*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x (fma.f64 y y y))) (*.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) x) x) (/.f64 x (fma.f64 y y y)))))))
(/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 (pow.f64 y #s(literal 6 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) y)))))
(/.f64 (neg.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 y y) x (neg.f64 x))) y)) (fma.f64 x y x))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) y)) (neg.f64 (*.f64 x (fma.f64 (*.f64 y y) x (fma.f64 x y x)))))
(/.f64 (neg.f64 (*.f64 y (*.f64 x (fma.f64 (*.f64 y y) x (neg.f64 x))))) (fma.f64 x y x))
(/.f64 (neg.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))) (neg.f64 (*.f64 x (fma.f64 (*.f64 y y) x (fma.f64 x y x)))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)))) (neg.f64 (*.f64 y (neg.f64 (fma.f64 x y x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) (*.f64 x (fma.f64 y y y))))
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eval167.0ms (2.4%)

Memory
-0.1MiB live, 339.3MiB allocated
Compiler

Compiled 20 524 to 2 295 computations (88.8% saved)

prune131.0ms (1.9%)

Memory
-20.2MiB live, 310.9MiB allocated
Pruning

10 alts after pruning (3 fresh and 7 done)

PrunedKeptTotal
New1 25621 258
Fresh112
Picked145
Done033
Total1 258101 268
Accuracy
100.0%
Counts
1 268 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓94.8%
(fma.f64 y x (*.f64 (*.f64 (neg.f64 y) y) x))
✓63.2%
(/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)))
▶63.2%
(/.f64 y (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x))
✓99.9%
(*.f64 (fma.f64 (neg.f64 y) x x) y)
▶71.9%
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 x (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64))))))
▶50.3%
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y))
✓99.9%
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
✓58.1%
(*.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) y) x)
✓63.2%
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
✓57.7%
#s(approx (* (* x y) (- 1 y)) (*.f64 y x))
Compiler

Compiled 87 to 67 computations (23% saved)

simplify190.0ms (2.7%)

Memory
55.1MiB live, 313.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal -1 binary64) y)
cost-diff0
#s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))
cost-diff0
(/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x)
cost-diff384
(/.f64 y (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x))
cost-diff0
(*.f64 x (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64))))
cost-diff0
(+.f64 y #s(literal 1 binary64))
cost-diff0
(fma.f64 y y #s(literal 1 binary64))
cost-diff832
(*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 x (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64)))))
cost-diff0
(*.f64 #s(approx (+ (* y y) 1) (*.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)) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y))
Rules
21 626×lower-fma.f32
21 622×lower-fma.f64
7 418×lower-*.f32
7 406×lower-*.f64
2 044×lower-neg.f32
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
026151
043151
171151
2153151
3461150
41287150
52626150
66068138
09541138
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
x
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y)
#s(approx (+ (* y y) 1) (*.f64 y y))
(*.f64 y y)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 x (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64))))))
(fma.f64 y y #s(literal 1 binary64))
y
#s(literal 1 binary64)
(*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 x (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64)))))
(+.f64 y #s(literal 1 binary64))
(*.f64 x (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64))))
x
(/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64)))
(fma.f64 (neg.f64 y) y #s(literal 1 binary64))
(neg.f64 y)
(/.f64 y (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x))
y
(/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x)
#s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
x
Outputs
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y))
(*.f64 (/.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) (-.f64 #s(literal 1 binary64) y)) (*.f64 y x))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
x
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y)
#s(approx (+ (* y y) 1) (*.f64 y y))
(*.f64 y y)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 x (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64))))))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) y))
(fma.f64 y y #s(literal 1 binary64))
y
#s(literal 1 binary64)
(*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 x (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64)))))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) y)
(+.f64 y #s(literal 1 binary64))
(-.f64 y #s(literal -1 binary64))
(*.f64 x (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64))))
(*.f64 (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) x)
x
(/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64)))
(fma.f64 (neg.f64 y) y #s(literal 1 binary64))
(neg.f64 y)
(/.f64 y (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x))
(/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)))
y
(/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x)
#s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
x

localize69.0ms (1%)

Memory
13.8MiB live, 166.5MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 #s(literal -1 binary64) y)
accuracy0.08203125
(/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x)
accuracy0.15625
(/.f64 y (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x))
accuracy32.308413519384914
#s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))
accuracy0.11328125
(*.f64 x (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64))))
accuracy3.3241355006128557
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 x (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64))))))
accuracy7.684740929943206
(*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 x (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64)))))
accuracy14.405243344972531
(/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64)))
accuracy0.015625
(/.f64 x (-.f64 #s(literal 1 binary64) y))
accuracy0.0625
(*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y)
accuracy8.501125391125868
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y))
accuracy31.859995611444887
#s(approx (+ (* y y) 1) (*.f64 y y))
Samples
55.0ms256×0valid
Compiler

Compiled 139 to 24 computations (82.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-mult: 15.0ms (36.9% of total)
ival-div: 10.0ms (24.6% of total)
ival-pow: 10.0ms (24.6% of total)
ival-add: 3.0ms (7.4% of total)
ival-sub: 2.0ms (4.9% of total)
ival-neg: 1.0ms (2.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series115.0ms (1.6%)

Memory
-68.6MiB live, 98.4MiB allocated
Counts
15 → 264
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y)) (patch (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 #s(approx (+ (* y y) 1) (*.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 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) (patch (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 x (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64))))) (patch (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 x (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt (fma.f64 y y #s(literal 1 binary64)) (patch (fma.f64 y 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 x (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64)))) (patch (*.f64 x (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 y (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x)) (patch (/.f64 y (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x) (patch (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x) #<representation binary64>) () ())
#s(alt #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) (patch #s(approx (pow (- 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 #s(approx (+ (* y y) 1) (*.f64 y y)) (patch #s(approx (+ (* y y) 1) (*.f64 y y)) #<representation binary64>) () ())
#s(alt (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (patch (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 x (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64)))))) (patch (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 x (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64)))))) #<representation binary64>) () ())
Outputs
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y)) (patch (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* x y))) (taylor 0 y) (#s(alt (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y)) (patch (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* y (- (* y (- x (* -1 x))) (* -1 x))))) (taylor 0 y) (#s(alt (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y)) (patch (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* y (- (* y (- (+ x (* y (- x (* -1 x)))) (* -1 x))) (* -1 x))))) (taylor 0 y) (#s(alt (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y)) (patch (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* x y) (* -1 x)))) (taylor 0 y) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x)))) (taylor 0 y) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt 1 (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 y (taylor 0 y) (#s(alt (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) (patch (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (pow y 2))) (taylor 0 y) (#s(alt (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) (patch (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (pow y 2))) (taylor 0 y) (#s(alt (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) (patch (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (pow y 2))) (taylor 0 y) (#s(alt (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) (patch (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 x (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64))))) (patch (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 x (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* x y))) (taylor 0 y) (#s(alt (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 x (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64))))) (patch (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 x (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* y (+ x (* x y))))) (taylor 0 y) (#s(alt (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 x (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64))))) (patch (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 x (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* y (+ x (* y (- (* x y) (* -1 x))))))) (taylor 0 y) (#s(alt (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 x (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64))))) (patch (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 x (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (fma.f64 y y #s(literal 1 binary64)) (patch (fma.f64 y y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 y y #s(literal 1 binary64)) (patch (fma.f64 y y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 y y #s(literal 1 binary64)) (patch (fma.f64 y y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 y y #s(literal 1 binary64)) (patch (fma.f64 y y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64)))) (patch (*.f64 x (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* x (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 x (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64)))) (patch (*.f64 x (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* (pow y 2) (- (* x (pow y 2)) (* -1 x))))) (taylor 0 y) (#s(alt (*.f64 x (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64)))) (patch (*.f64 x (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* (pow y 2) (- (* (pow y 2) (- (* x (pow y 2)) (* -1 x))) (* -1 x))))) (taylor 0 y) (#s(alt (*.f64 x (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64)))) (patch (*.f64 x (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (/.f64 y (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x)) (patch (/.f64 y (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (/.f64 y (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x)) (patch (/.f64 y (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (/.f64 y (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x)) (patch (/.f64 y (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (/.f64 y (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x)) (patch (/.f64 y (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 y) (#s(alt (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x) (patch (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 x) (/ y x)) (taylor 0 y) (#s(alt (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x) (patch (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x) #<representation binary64>) () ())) ())
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#s(alt (/ (* x y) (+ 1 (* -1 (pow y 2)))) (taylor -inf x) (#s(alt (*.f64 x (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64)))) (patch (*.f64 x (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (/.f64 y (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x)) (patch (/.f64 y (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (/.f64 y (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x)) (patch (/.f64 y (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (/.f64 y (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x)) (patch (/.f64 y (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (/.f64 y (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x)) (patch (/.f64 y (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (- 1 y))) (taylor -inf x) (#s(alt (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x) (patch (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (- 1 y))) (taylor -inf x) (#s(alt (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x) (patch (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (- 1 y))) (taylor -inf x) (#s(alt (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x) (patch (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (- 1 y))) (taylor -inf x) (#s(alt (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x) (patch (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x) #<representation binary64>) () ())) ())
#s(alt (/ (* x (* y (* (+ 1 y) (+ 1 (pow y 2))))) (+ 1 (* -1 (pow y 2)))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 x (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64)))))) (patch (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 x (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (* y (* (+ 1 y) (+ 1 (pow y 2))))) (+ 1 (* -1 (pow y 2)))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 x (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64)))))) (patch (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 x (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (* y (* (+ 1 y) (+ 1 (pow y 2))))) (+ 1 (* -1 (pow y 2)))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 x (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64)))))) (patch (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 x (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (* y (* (+ 1 y) (+ 1 (pow y 2))))) (+ 1 (* -1 (pow y 2)))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 x (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64)))))) (patch (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 x (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64)))))) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
75.0ms
x
@-inf
((* (/ x (- 1 y)) (* (+ (* y y) 1) y)) (/ x (- 1 y)) (- 1 y) (* (+ (* y y) 1) y) (* (+ y 1) (* x (/ y (+ (* (neg y) y) 1)))) (+ (* y y) 1) (+ y 1) (* x (/ y (+ (* (neg y) y) 1))) (/ y (/ (pow (- 1 y) -1) x)) (/ (pow (- 1 y) -1) x) (pow (- 1 y) -1) (/ -1 y) (+ (* y y) 1) (/ y (+ (* (neg y) y) 1)) (* (+ (* y y) 1) (* (+ y 1) (* x (/ y (+ (* (neg y) y) 1))))))
4.0ms
x
@0
((* (/ x (- 1 y)) (* (+ (* y y) 1) y)) (/ x (- 1 y)) (- 1 y) (* (+ (* y y) 1) y) (* (+ y 1) (* x (/ y (+ (* (neg y) y) 1)))) (+ (* y y) 1) (+ y 1) (* x (/ y (+ (* (neg y) y) 1))) (/ y (/ (pow (- 1 y) -1) x)) (/ (pow (- 1 y) -1) x) (pow (- 1 y) -1) (/ -1 y) (+ (* y y) 1) (/ y (+ (* (neg y) y) 1)) (* (+ (* y y) 1) (* (+ y 1) (* x (/ y (+ (* (neg y) y) 1))))))
3.0ms
x
@inf
((* (/ x (- 1 y)) (* (+ (* y y) 1) y)) (/ x (- 1 y)) (- 1 y) (* (+ (* y y) 1) y) (* (+ y 1) (* x (/ y (+ (* (neg y) y) 1)))) (+ (* y y) 1) (+ y 1) (* x (/ y (+ (* (neg y) y) 1))) (/ y (/ (pow (- 1 y) -1) x)) (/ (pow (- 1 y) -1) x) (pow (- 1 y) -1) (/ -1 y) (+ (* y y) 1) (/ y (+ (* (neg y) y) 1)) (* (+ (* y y) 1) (* (+ y 1) (* x (/ y (+ (* (neg y) y) 1))))))
2.0ms
y
@inf
((* (/ x (- 1 y)) (* (+ (* y y) 1) y)) (/ x (- 1 y)) (- 1 y) (* (+ (* y y) 1) y) (* (+ y 1) (* x (/ y (+ (* (neg y) y) 1)))) (+ (* y y) 1) (+ y 1) (* x (/ y (+ (* (neg y) y) 1))) (/ y (/ (pow (- 1 y) -1) x)) (/ (pow (- 1 y) -1) x) (pow (- 1 y) -1) (/ -1 y) (+ (* y y) 1) (/ y (+ (* (neg y) y) 1)) (* (+ (* y y) 1) (* (+ y 1) (* x (/ y (+ (* (neg y) y) 1))))))
2.0ms
y
@-inf
((* (/ x (- 1 y)) (* (+ (* y y) 1) y)) (/ x (- 1 y)) (- 1 y) (* (+ (* y y) 1) y) (* (+ y 1) (* x (/ y (+ (* (neg y) y) 1)))) (+ (* y y) 1) (+ y 1) (* x (/ y (+ (* (neg y) y) 1))) (/ y (/ (pow (- 1 y) -1) x)) (/ (pow (- 1 y) -1) x) (pow (- 1 y) -1) (/ -1 y) (+ (* y y) 1) (/ y (+ (* (neg y) y) 1)) (* (+ (* y y) 1) (* (+ y 1) (* x (/ y (+ (* (neg y) y) 1))))))

simplify174.0ms (2.5%)

Memory
27.5MiB live, 180.8MiB allocated
Algorithm
1×egg-herbie
Rules
11 978×lower-fma.f64
11 978×lower-fma.f32
3 208×lower-/.f32
3 208×lower-/.f64
3 114×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02702480
18742256
223322162
082222096
Stop Event
1×iter limit
1×node limit
Counts
264 → 259
Calls
Call 1
Inputs
(* 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)))))
x
(+ x (* x y))
(+ x (* y (- (* x y) (* -1 x))))
(+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x))))
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
y
(* y (+ 1 (pow y 2)))
(* y (+ 1 (pow y 2)))
(* y (+ 1 (pow y 2)))
(* x y)
(* y (+ x (* x y)))
(* y (+ x (* y (+ x (* x y)))))
(* y (+ x (* y (+ x (* y (- (* x y) (* -1 x)))))))
1
(+ 1 (pow y 2))
(+ 1 (pow y 2))
(+ 1 (pow y 2))
1
(+ 1 y)
(+ 1 y)
(+ 1 y)
(* x y)
(* y (+ x (* x (pow y 2))))
(* y (+ x (* (pow y 2) (- (* x (pow y 2)) (* -1 x)))))
(* y (+ x (* (pow y 2) (- (* (pow y 2) (- (* x (pow y 2)) (* -1 x))) (* -1 x)))))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(/ 1 x)
(+ (/ 1 x) (/ y x))
(+ (* y (+ (/ 1 x) (/ y x))) (/ 1 x))
(+ (* y (+ (* y (+ (/ 1 x) (/ y x))) (/ 1 x))) (/ 1 x))
1
(+ 1 y)
(+ 1 (* y (+ 1 y)))
(+ 1 (* y (+ 1 (* y (+ 1 y)))))
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
1
(+ 1 (pow y 2))
(+ 1 (pow y 2))
(+ 1 (pow y 2))
y
(* y (+ 1 (pow y 2)))
(* y (+ 1 (* (pow y 2) (+ 1 (pow y 2)))))
(* y (+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1 (pow y 2)))))))
(* x y)
(* y (+ x (* x y)))
(* y (+ x (* y (+ x (* y (- x (* -1 x)))))))
(* y (+ x (* y (+ x (* y (- (+ x (* y (- 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 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 y)
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(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)
(+ (* -1 x) (* -1 (/ x y)))
(+ (* -1 x) (+ (* -1 (/ x y)) (* -1 (/ x (pow y 2)))))
(- (+ (* -1 x) (+ (* -1 (/ x y)) (* -1 (/ x (pow y 3))))) (/ x (pow y 2)))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* -1 (/ x y))
(/ (+ (* -1 x) (* -1 (/ x (pow y 2)))) y)
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 4)))) (/ x (pow y 2))) y)
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 6)))) (+ (/ x (pow y 2)) (/ x (pow y 4)))) 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 y))
(* -1 (/ (+ (/ 1 x) (/ 1 (* x y))) y))
(/ (- (* -1 (/ (+ (/ 1 x) (/ 1 (* x y))) y)) (/ 1 x)) y)
(/ (- (* -1 (/ (+ (/ 1 x) (/ 1 (* x y))) (pow y 2))) (+ (/ 1 x) (/ 1 (* x y)))) y)
(/ -1 y)
(* -1 (/ (+ 1 (/ 1 y)) y))
(/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y)
(/ (- (* -1 (/ (+ 1 (/ 1 y)) (pow y 2))) (+ 1 (/ 1 y))) y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(/ -1 y)
(* -1 (/ (+ 1 (/ 1 (pow y 2))) y))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 2))) 1) y)
(/ (- (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 4))) (+ 1 (/ 1 (pow y 2)))) y)
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y))))
(* (pow y 2) (- (+ (* -1 x) (+ (* -1 (/ x y)) (* -1 (/ x (pow y 2))))) (/ x (pow y 2))))
(* (pow y 2) (- (+ (* -1 x) (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (* -1 (/ x (pow y 3)))))) (+ (/ 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))))
(* -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 y)
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(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)
(+ (* -1 x) (* -1 (/ x y)))
(+ (* -1 x) (* -1 (/ (+ x (/ x y)) y)))
(+ (* -1 x) (* -1 (/ (+ x (* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y))) y)))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* -1 (/ x y))
(* -1 (/ (+ x (/ x (pow y 2))) y))
(* -1 (/ (+ x (+ (/ x (pow y 2)) (/ x (pow y 4)))) y))
(* -1 (/ (+ x (+ (/ x (pow y 2)) (+ (/ x (pow y 4)) (/ x (pow y 6))))) 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 y))
(* -1 (/ (+ (/ 1 x) (/ 1 (* x y))) y))
(* -1 (/ (+ (/ 1 x) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2))))) y))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 x) (/ 1 (* x y))) y)) (/ 1 x)) y)) (/ 1 x)) y))
(/ -1 y)
(* -1 (/ (+ 1 (/ 1 y)) y))
(* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))) y))
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(/ -1 y)
(* -1 (/ (+ 1 (/ 1 (pow y 2))) y))
(* -1 (/ (+ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow y 4)))) y))
(* -1 (/ (+ 1 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow y 4)) (/ 1 (pow y 6))))) y))
(* -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 (* 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 (- 1 y))
(/ x (- 1 y))
(/ x (- 1 y))
(/ x (- 1 y))
(/ (* x (* y (+ 1 y))) (+ 1 (* -1 (pow y 2))))
(/ (* x (* y (+ 1 y))) (+ 1 (* -1 (pow y 2))))
(/ (* x (* y (+ 1 y))) (+ 1 (* -1 (pow y 2))))
(/ (* x (* y (+ 1 y))) (+ 1 (* -1 (pow y 2))))
(/ (* x y) (+ 1 (* -1 (pow y 2))))
(/ (* x y) (+ 1 (* -1 (pow y 2))))
(/ (* x y) (+ 1 (* -1 (pow y 2))))
(/ (* x y) (+ 1 (* -1 (pow y 2))))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(/ 1 (* x (- 1 y)))
(/ 1 (* x (- 1 y)))
(/ 1 (* x (- 1 y)))
(/ 1 (* x (- 1 y)))
(/ (* x (* y (* (+ 1 y) (+ 1 (pow y 2))))) (+ 1 (* -1 (pow y 2))))
(/ (* x (* y (* (+ 1 y) (+ 1 (pow y 2))))) (+ 1 (* -1 (pow y 2))))
(/ (* x (* y (* (+ 1 y) (+ 1 (pow y 2))))) (+ 1 (* -1 (pow y 2))))
(/ (* x (* y (* (+ 1 y) (+ 1 (pow y 2))))) (+ 1 (* -1 (pow y 2))))
(/ (* 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 (- 1 y))
(/ x (- 1 y))
(/ x (- 1 y))
(/ x (- 1 y))
(/ (* x (* y (+ 1 y))) (+ 1 (* -1 (pow y 2))))
(/ (* x (* y (+ 1 y))) (+ 1 (* -1 (pow y 2))))
(/ (* x (* y (+ 1 y))) (+ 1 (* -1 (pow y 2))))
(/ (* x (* y (+ 1 y))) (+ 1 (* -1 (pow y 2))))
(/ (* x y) (+ 1 (* -1 (pow y 2))))
(/ (* x y) (+ 1 (* -1 (pow y 2))))
(/ (* x y) (+ 1 (* -1 (pow y 2))))
(/ (* x y) (+ 1 (* -1 (pow y 2))))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(/ 1 (* x (- 1 y)))
(/ 1 (* x (- 1 y)))
(/ 1 (* x (- 1 y)))
(/ 1 (* x (- 1 y)))
(/ (* x (* y (* (+ 1 y) (+ 1 (pow y 2))))) (+ 1 (* -1 (pow y 2))))
(/ (* x (* y (* (+ 1 y) (+ 1 (pow y 2))))) (+ 1 (* -1 (pow y 2))))
(/ (* x (* y (* (+ 1 y) (+ 1 (pow y 2))))) (+ 1 (* -1 (pow y 2))))
(/ (* x (* y (* (+ 1 y) (+ 1 (pow y 2))))) (+ 1 (* -1 (pow y 2))))
(/ (* 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 (- 1 y))
(/ x (- 1 y))
(/ x (- 1 y))
(/ x (- 1 y))
(/ (* x (* y (+ 1 y))) (+ 1 (* -1 (pow y 2))))
(/ (* x (* y (+ 1 y))) (+ 1 (* -1 (pow y 2))))
(/ (* x (* y (+ 1 y))) (+ 1 (* -1 (pow y 2))))
(/ (* x (* y (+ 1 y))) (+ 1 (* -1 (pow y 2))))
(/ (* x y) (+ 1 (* -1 (pow y 2))))
(/ (* x y) (+ 1 (* -1 (pow y 2))))
(/ (* x y) (+ 1 (* -1 (pow y 2))))
(/ (* x y) (+ 1 (* -1 (pow y 2))))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(/ 1 (* x (- 1 y)))
(/ 1 (* x (- 1 y)))
(/ 1 (* x (- 1 y)))
(/ 1 (* x (- 1 y)))
(/ (* x (* y (* (+ 1 y) (+ 1 (pow y 2))))) (+ 1 (* -1 (pow y 2))))
(/ (* x (* y (* (+ 1 y) (+ 1 (pow y 2))))) (+ 1 (* -1 (pow y 2))))
(/ (* x (* y (* (+ 1 y) (+ 1 (pow y 2))))) (+ 1 (* -1 (pow y 2))))
(/ (* x (* y (* (+ 1 y) (+ 1 (pow y 2))))) (+ 1 (* -1 (pow y 2))))
Outputs
(* 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 #s(literal 2 binary64) (*.f64 y x) 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 #s(literal 2 binary64) x)) y x) y x) 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))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 y x 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)
y
(* y (+ 1 (pow y 2)))
(+.f64 (pow.f64 y #s(literal 3 binary64)) y)
(* y (+ 1 (pow y 2)))
(+.f64 (pow.f64 y #s(literal 3 binary64)) y)
(* y (+ 1 (pow y 2)))
(+.f64 (pow.f64 y #s(literal 3 binary64)) y)
(* x y)
(*.f64 y x)
(* y (+ x (* x y)))
(*.f64 (fma.f64 y x x) y)
(* y (+ x (* y (+ x (* x y)))))
(*.f64 (fma.f64 (fma.f64 y x x) y x) y)
(* y (+ x (* y (+ x (* y (- (* x y) (* -1 x)))))))
(*.f64 (*.f64 (fma.f64 y y y) (fma.f64 y y #s(literal 1 binary64))) x)
1
#s(literal 1 binary64)
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
1
#s(literal 1 binary64)
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(*.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)
(/ 1 (* x (- 1 y)))
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) x x))
(/ 1 (* x (- 1 y)))
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) x x))
(/ 1 (* x (- 1 y)))
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) x x))
(/ 1 (* x (- 1 y)))
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) x x))
(/ (* x (* y (* (+ 1 y) (+ 1 (pow y 2))))) (+ 1 (* -1 (pow y 2))))
(*.f64 (/.f64 x (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (*.f64 (fma.f64 y y y) (fma.f64 y y #s(literal 1 binary64))))
(/ (* x (* y (* (+ 1 y) (+ 1 (pow y 2))))) (+ 1 (* -1 (pow y 2))))
(*.f64 (/.f64 x (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (*.f64 (fma.f64 y y y) (fma.f64 y y #s(literal 1 binary64))))
(/ (* x (* y (* (+ 1 y) (+ 1 (pow y 2))))) (+ 1 (* -1 (pow y 2))))
(*.f64 (/.f64 x (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (*.f64 (fma.f64 y y y) (fma.f64 y y #s(literal 1 binary64))))
(/ (* x (* y (* (+ 1 y) (+ 1 (pow y 2))))) (+ 1 (* -1 (pow y 2))))
(*.f64 (/.f64 x (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (*.f64 (fma.f64 y y y) (fma.f64 y y #s(literal 1 binary64))))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) y))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) y))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) y))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (+.f64 (pow.f64 y #s(literal 3 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 (* y (+ 1 y))) (+ 1 (* -1 (pow y 2))))
(*.f64 (/.f64 x (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (fma.f64 y y y))
(/ (* x (* y (+ 1 y))) (+ 1 (* -1 (pow y 2))))
(*.f64 (/.f64 x (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (fma.f64 y y y))
(/ (* x (* y (+ 1 y))) (+ 1 (* -1 (pow y 2))))
(*.f64 (/.f64 x (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (fma.f64 y y y))
(/ (* x (* y (+ 1 y))) (+ 1 (* -1 (pow y 2))))
(*.f64 (/.f64 x (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (fma.f64 y y y))
(/ (* x y) (+ 1 (* -1 (pow y 2))))
(*.f64 (/.f64 x (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) y)
(/ (* x y) (+ 1 (* -1 (pow y 2))))
(*.f64 (/.f64 x (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) y)
(/ (* x y) (+ 1 (* -1 (pow y 2))))
(*.f64 (/.f64 x (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) y)
(/ (* x y) (+ 1 (* -1 (pow y 2))))
(*.f64 (/.f64 x (fma.f64 (neg.f64 y) y #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)
(/ 1 (* x (- 1 y)))
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) x x))
(/ 1 (* x (- 1 y)))
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) x x))
(/ 1 (* x (- 1 y)))
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) x x))
(/ 1 (* x (- 1 y)))
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) x x))
(/ (* x (* y (* (+ 1 y) (+ 1 (pow y 2))))) (+ 1 (* -1 (pow y 2))))
(*.f64 (/.f64 x (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (*.f64 (fma.f64 y y y) (fma.f64 y y #s(literal 1 binary64))))
(/ (* x (* y (* (+ 1 y) (+ 1 (pow y 2))))) (+ 1 (* -1 (pow y 2))))
(*.f64 (/.f64 x (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (*.f64 (fma.f64 y y y) (fma.f64 y y #s(literal 1 binary64))))
(/ (* x (* y (* (+ 1 y) (+ 1 (pow y 2))))) (+ 1 (* -1 (pow y 2))))
(*.f64 (/.f64 x (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (*.f64 (fma.f64 y y y) (fma.f64 y y #s(literal 1 binary64))))
(/ (* x (* y (* (+ 1 y) (+ 1 (pow y 2))))) (+ 1 (* -1 (pow y 2))))
(*.f64 (/.f64 x (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (*.f64 (fma.f64 y y y) (fma.f64 y y #s(literal 1 binary64))))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) y))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) y))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) y))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (+.f64 (pow.f64 y #s(literal 3 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 (* y (+ 1 y))) (+ 1 (* -1 (pow y 2))))
(*.f64 (/.f64 x (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (fma.f64 y y y))
(/ (* x (* y (+ 1 y))) (+ 1 (* -1 (pow y 2))))
(*.f64 (/.f64 x (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (fma.f64 y y y))
(/ (* x (* y (+ 1 y))) (+ 1 (* -1 (pow y 2))))
(*.f64 (/.f64 x (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (fma.f64 y y y))
(/ (* x (* y (+ 1 y))) (+ 1 (* -1 (pow y 2))))
(*.f64 (/.f64 x (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (fma.f64 y y y))
(/ (* x y) (+ 1 (* -1 (pow y 2))))
(*.f64 (/.f64 x (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) y)
(/ (* x y) (+ 1 (* -1 (pow y 2))))
(*.f64 (/.f64 x (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) y)
(/ (* x y) (+ 1 (* -1 (pow y 2))))
(*.f64 (/.f64 x (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) y)
(/ (* x y) (+ 1 (* -1 (pow y 2))))
(*.f64 (/.f64 x (fma.f64 (neg.f64 y) y #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)
(/ 1 (* x (- 1 y)))
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) x x))
(/ 1 (* x (- 1 y)))
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) x x))
(/ 1 (* x (- 1 y)))
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) x x))
(/ 1 (* x (- 1 y)))
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) x x))
(/ (* x (* y (* (+ 1 y) (+ 1 (pow y 2))))) (+ 1 (* -1 (pow y 2))))
(*.f64 (/.f64 x (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (*.f64 (fma.f64 y y y) (fma.f64 y y #s(literal 1 binary64))))
(/ (* x (* y (* (+ 1 y) (+ 1 (pow y 2))))) (+ 1 (* -1 (pow y 2))))
(*.f64 (/.f64 x (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (*.f64 (fma.f64 y y y) (fma.f64 y y #s(literal 1 binary64))))
(/ (* x (* y (* (+ 1 y) (+ 1 (pow y 2))))) (+ 1 (* -1 (pow y 2))))
(*.f64 (/.f64 x (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (*.f64 (fma.f64 y y y) (fma.f64 y y #s(literal 1 binary64))))
(/ (* x (* y (* (+ 1 y) (+ 1 (pow y 2))))) (+ 1 (* -1 (pow y 2))))
(*.f64 (/.f64 x (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (*.f64 (fma.f64 y y y) (fma.f64 y y #s(literal 1 binary64))))

rewrite301.0ms (4.3%)

Memory
-0.3MiB live, 195.9MiB allocated
Rules
7 102×lower-fma.f32
7 098×lower-fma.f64
5 058×lower-*.f32
5 046×lower-*.f64
4 200×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026132
043132
1149132
2939117
09485117
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
15 → 1 461
Calls
Call 1
Inputs
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y))
(/.f64 x (-.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 1 binary64) y)
(*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y)
(*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 x (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64)))))
(fma.f64 y y #s(literal 1 binary64))
(+.f64 y #s(literal 1 binary64))
(*.f64 x (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64))))
(/.f64 y (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x))
(/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x)
#s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) y)
#s(approx (+ (* y y) 1) (*.f64 y y))
(/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 x (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64))))))
Outputs
(*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 x) y) #s(approx (+ (* y y) 1) (*.f64 y y))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 x) y) #s(approx (+ (* y y) 1) (*.f64 y y))) (fma.f64 y y #s(literal 1 binary64))) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 y x) #s(approx (+ (* y y) 1) (*.f64 y y))) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (+.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 y x) #s(approx (+ (* y y) 1) (*.f64 y y))) (fma.f64 y y #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (*.f64 (*.f64 y x) #s(approx (+ (* y y) 1) (*.f64 y y))) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 (*.f64 (*.f64 y x) #s(approx (+ (* y y) 1) (*.f64 y y))) (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 (*.f64 (*.f64 y x) #s(approx (+ (* y y) 1) (*.f64 y y))) (fma.f64 y y #s(literal 1 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 y x) #s(approx (+ (* y y) 1) (*.f64 y y))) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) y)
(*.f64 (*.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) (/.f64 x (fma.f64 y y #s(literal 1 binary64)))) (+.f64 y #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 (+.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) (*.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) #s(literal -1 binary64)) (/.f64 x (-.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 y #s(literal 1 binary64)))) (/.f64 y (-.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 y (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))
(*.f64 (/.f64 (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 y (pow.f64 (fma.f64 (+.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))) (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y y))
(*.f64 (/.f64 (*.f64 y x) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 y #s(literal 1 binary64)))) (/.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) (-.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 y x) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))
(*.f64 (/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) (pow.f64 (fma.f64 (+.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 y #s(literal 1 binary64)))) (/.f64 x (-.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 x (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))
(*.f64 (/.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 x (pow.f64 (fma.f64 (+.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (fma.f64 y x x) y x))
(*.f64 (/.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y x x))
(*.f64 (/.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) (-.f64 y #s(literal 1 binary64))) (neg.f64 x))
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 y #s(literal 1 binary64)))) (/.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) (-.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 x (/.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))
(*.f64 (*.f64 (/.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) (-.f64 #s(literal 1 binary64) y)) y) x)
(*.f64 (/.f64 x (fma.f64 y y #s(literal 1 binary64))) (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y)))
(*.f64 (/.f64 x (fma.f64 y y #s(literal 1 binary64))) (/.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 (+.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y)))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) (pow.f64 (fma.f64 (+.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 y x) #s(approx (+ (* y y) 1) (*.f64 y y))) (fma.f64 y y #s(literal 1 binary64))) (+.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 y x) #s(approx (+ (* y y) 1) (*.f64 y y))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(*.f64 (/.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) (-.f64 #s(literal 1 binary64) y)) (/.f64 y (pow.f64 x #s(literal -1 binary64))))
(*.f64 (*.f64 x #s(approx (+ (* y y) 1) (*.f64 y y))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y))
(*.f64 (*.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y)))
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) #s(approx (+ (* y y) 1) (*.f64 y y))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 y x) #s(approx (+ (* y y) 1) (*.f64 y y))) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 (*.f64 y x) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))))
(*.f64 (*.f64 y x) (/.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) (-.f64 #s(literal 1 binary64) y)))
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(+.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) (/.f64 x (-.f64 (pow.f64 y #s(literal -1 binary64)) y))) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) (/.f64 x (fma.f64 y y #s(literal 1 binary64)))))
(+.f64 (*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) (/.f64 x (fma.f64 y y #s(literal 1 binary64)))) y) (*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) (/.f64 x (fma.f64 y y #s(literal 1 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) (/.f64 x (fma.f64 y y #s(literal 1 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) (/.f64 x (fma.f64 y y #s(literal 1 binary64)))) y))
(+.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (*.f64 y x) (-.f64 (pow.f64 y #s(literal -1 binary64)) y))) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) (/.f64 x (fma.f64 y y #s(literal 1 binary64)))))
(+.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal -1 binary64)) y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) y)) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) (/.f64 x (fma.f64 y y #s(literal 1 binary64)))))
(+.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) (/.f64 x (fma.f64 y y #s(literal 1 binary64)))) (*.f64 (/.f64 (*.f64 y x) (-.f64 (pow.f64 y #s(literal -1 binary64)) y)) (fma.f64 y y #s(literal 1 binary64))))
(+.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) (/.f64 x (fma.f64 y y #s(literal 1 binary64)))) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) (/.f64 x (-.f64 (pow.f64 y #s(literal -1 binary64)) y))))
(+.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) (/.f64 x (fma.f64 y y #s(literal 1 binary64)))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (*.f64 y x) (-.f64 (pow.f64 y #s(literal -1 binary64)) y))))
(+.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) (/.f64 x (fma.f64 y y #s(literal 1 binary64)))) (*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal -1 binary64)) y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) y)))
(+.f64 (*.f64 (*.f64 y y) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) y)) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) y))
(+.f64 (*.f64 (*.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) y) y) y) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) y))
(+.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) y) (*.f64 (*.f64 y y) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) y)))
(+.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) y) (*.f64 (*.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) y) y) y))

eval387.0ms (5.5%)

Memory
1.9MiB live, 345.0MiB allocated
Compiler

Compiled 39 719 to 3 996 computations (89.9% saved)

prune251.0ms (3.6%)

Memory
9.1MiB live, 537.3MiB allocated
Pruning

10 alts after pruning (2 fresh and 8 done)

PrunedKeptTotal
New1 71821 720
Fresh000
Picked213
Done077
Total1 720101 730
Accuracy
100.0%
Counts
1 730 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓94.8%
(fma.f64 y x (*.f64 (*.f64 (neg.f64 y) y) x))
✓63.2%
(/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)))
✓63.2%
(/.f64 y (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x))
✓99.9%
(*.f64 (fma.f64 (neg.f64 y) x x) y)
36.3%
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 x #s(approx (/ y (+ (* (neg y) y) 1)) (/.f64 #s(literal -1 binary64) y)))))
49.7%
(*.f64 (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y))
✓99.9%
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
✓58.1%
(*.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) y) x)
✓63.2%
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
✓57.7%
#s(approx (* (* x y) (- 1 y)) (*.f64 y x))
Compiler

Compiled 285 to 129 computations (54.7% saved)

regimes29.0ms (0.4%)

Memory
-30.1MiB live, 46.9MiB allocated
Counts
20 → 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))
(/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 x #s(approx (- 1 y) (neg.f64 y))) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y)))
(/.f64 y (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 x #s(approx (/ y (+ (* (neg y) y) 1)) (/.f64 #s(literal -1 binary64) 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 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 x (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64))))))
(/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(/.f64 y (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x))
(/.f64 (*.f64 (+.f64 y (pow.f64 y #s(literal 4 binary64))) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))
Outputs
(*.f64 (fma.f64 (neg.f64 y) x x) y)
Calls

3 calls:

14.0ms
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
8.0ms
x
6.0ms
y
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes8.0ms (0.1%)

Memory
22.9MiB live, 22.9MiB 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:

3.0ms
x
2.0ms
y
2.0ms
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes9.0ms (0.1%)

Memory
-17.7MiB live, 20.4MiB 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:

4.0ms
x
2.0ms
y
2.0ms
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes6.0ms (0.1%)

Memory
19.4MiB live, 19.4MiB 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:

2.0ms
x
2.0ms
y
2.0ms
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Results
AccuracySegmentsBranch
67.9%2x
98.5%3y
90.1%2(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes2.0ms (0%)

Memory
5.4MiB live, 5.4MiB 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:

1.0ms
y
Results
AccuracySegmentsBranch
93.4%3y
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes9.0ms (0.1%)

Memory
-27.4MiB live, 13.2MiB 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:

6.0ms
x
1.0ms
y
1.0ms
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Results
AccuracySegmentsBranch
57.7%1x
57.7%1(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
57.7%1y
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch28.0ms (0.4%)

Memory
21.6MiB live, 59.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
0.000649977670081604
1.483672996181146e+19
10.0ms
-11962.987961214354
-0.0002815935275831771
Samples
14.0ms320×0valid
Compiler

Compiled 230 to 251 computations (-9.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 6.0ms (72.6% of total)
ival-sub: 1.0ms (12.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
6.4MiB live, 6.4MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
0.000649977670081604
1.483672996181146e+19
1.0ms
-11962.987961214354
-0.0002815935275831771
Compiler

Compiled 230 to 251 computations (-9.1% saved)

simplify30.0ms (0.4%)

Memory
9.6MiB live, 79.8MiB allocated
Algorithm
1×egg-herbie
Rules
26×*-commutative-binary64-*.f64
10×neg-sub0-binary64--.f64-neg.f64
10×+-commutative-binary64-+.f64
10×neg-mul-1-binary64-*.f64-neg.f64
10×sub-neg-binary64-neg.f64-+.f64--.f64
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))

soundness731.0ms (10.4%)

Memory
-42.0MiB live, 420.2MiB allocated
Rules
4 438×lower-*.f64
4 438×lower-*.f32
4 404×lower-*.f32
4 392×lower-*.f64
4 316×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
0913
13013
216513
3134313
0956212
027287
170266
2165266
3263266
4635266
52084266
64141266
75629266
86507266
97085266
107712266
08217266
02187
03485
110485
260985
3739585
0861985
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 112 to 52 computations (53.6% saved)

preprocess94.0ms (1.3%)

Memory
26.2MiB live, 106.3MiB allocated
Remove

(negabs x)

Compiler

Compiled 210 to 90 computations (57.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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