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

Time bar (total: 7.1s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB 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)

sample923.0ms (12.9%)

Memory
19.8MiB live, 895.2MiB allocated
Samples
648.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 392.0ms
ival-mult: 200.0ms (51% of total)
ival-sub: 178.0ms (45.4% of total)
ival-true: 5.0ms (1.3% of total)
exact: 5.0ms (1.3% of total)
ival-assert: 3.0ms (0.8% of total)
Bogosity

explain57.0ms (0.8%)

Memory
-6.3MiB live, 115.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(-.f64 #s(literal 1 binary64) y)
00-0-(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
00-0-y
00-0-#s(literal 1 binary64)
00-0-(*.f64 x y)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
24.0ms512×0valid
Compiler

Compiled 45 to 22 computations (51.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 6.0ms (60.4% of total)
ival-sub: 3.0ms (30.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess58.0ms (0.8%)

Memory
-13.9MiB live, 63.1MiB 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 9 to 6 computations (33.3% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify25.0ms (0.4%)

Memory
-2.9MiB live, 45.3MiB 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)

localize15.0ms (0.2%)

Memory
25.6MiB live, 25.6MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 #s(literal 1 binary64) y)
accuracy0
(*.f64 x y)
accuracy0.1015625
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Samples
10.0ms256×0valid
Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (62.6% of total)
ival-sub: 1.0ms (20.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series14.0ms (0.2%)

Memory
-13.8MiB live, 25.4MiB 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
2.0ms
y
@0
((* (* x y) (- 1 y)) (* x y) (- 1 y))
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))

simplify136.0ms (1.9%)

Memory
7.8MiB live, 162.2MiB 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)

rewrite133.0ms (1.9%)

Memory
17.0MiB live, 251.5MiB allocated
Rules
4 316×lower-fma.f64
4 316×lower-fma.f32
3 996×lower-/.f64
3 996×lower-/.f32
3 530×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

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

eval62.0ms (0.9%)

Memory
1.7MiB live, 160.8MiB allocated
Compiler

Compiled 13 644 to 1 266 computations (90.7% saved)

prune92.0ms (1.3%)

Memory
-36.4MiB live, 243.7MiB allocated
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New4769485
Fresh000
Picked101
Done000
Total4779486
Accuracy
100.0%
Counts
486 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶86.0%
(fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x))
64.8%
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))
▶86.4%
(/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) (-.f64 #s(literal 1 binary64) y))
82.2%
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) y))
▶99.9%
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
▶62.6%
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
92.6%
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x))
55.4%
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x))
▶53.1%
#s(approx (* (* x y) (- 1 y)) (*.f64 y x))
Compiler

Compiled 202 to 114 computations (43.6% saved)

simplify177.0ms (2.5%)

Memory
37.3MiB live, 115.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 y y #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 y y #s(literal 1 binary64)) y)
cost-diff0
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x)
cost-diff0
(/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) (-.f64 #s(literal 1 binary64) y))
cost-diff0
(*.f64 y x)
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 (neg.f64 y) y)
cost-diff320
(fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x))
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
2 324×lower-fma.f64
1 432×lower-*.f32
1 416×lower-*.f64
864×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
021113
036111
168111
2138108
3271108
4450108
5746108
61581108
73347108
84161108
94309108
104337108
114341108
124344108
134552108
144700108
154745108
164745108
174745108
184745108
194745108
04745108
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)
(fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
x
(*.f64 y x)
(/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) (-.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) y)
(fma.f64 y y #s(literal 1 binary64))
y
#s(literal 1 binary64)
x
(-.f64 #s(literal 1 binary64) y)
Outputs
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x
#s(approx (* (* x y) (- 1 y)) (*.f64 y x))
#s(approx (* (* x y) (- 1 y)) (*.f64 x y))
(*.f64 y x)
(*.f64 x y)
y
x
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
(*.f64 #s(approx (- 1 y) (neg.f64 y)) (*.f64 x y))
(*.f64 x y)
x
y
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)
(fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x))
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
x
(*.f64 y x)
(*.f64 x y)
(/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) (-.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) y)
(fma.f64 y y #s(literal 1 binary64))
y
#s(literal 1 binary64)
x
(-.f64 #s(literal 1 binary64) y)

localize61.0ms (0.9%)

Memory
-23.5MiB live, 135.7MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 #s(literal 1 binary64) y)
accuracy0.046875
(*.f64 (fma.f64 y y #s(literal 1 binary64)) y)
accuracy2.6117965903897105
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x)
accuracy5.11380255108452
(/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) (-.f64 #s(literal 1 binary64) y))
accuracy0
(*.f64 (neg.f64 y) y)
accuracy0
(*.f64 y x)
accuracy0
(neg.f64 y)
accuracy8.982518328309403
(fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x))
accuracy0
(*.f64 x y)
accuracy0
(neg.f64 y)
accuracy0.1015625
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
accuracy30.31509813368503
#s(approx (- 1 y) (neg.f64 y))
accuracy0
(*.f64 y x)
accuracy29.99656734970615
#s(approx (* (* x y) (- 1 y)) (*.f64 y x))
accuracy0
(-.f64 #s(literal 1 binary64) y)
accuracy0.01171875
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
accuracy0.08203125
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
Samples
38.0ms256×0valid
Compiler

Compiled 110 to 20 computations (81.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 16.0ms (61.7% of total)
ival-add: 5.0ms (19.3% of total)
ival-sub: 2.0ms (7.7% of total)
ival-div: 2.0ms (7.7% of total)
ival-neg: 1.0ms (3.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series23.0ms (0.3%)

Memory
23.2MiB live, 62.1MiB allocated
Counts
15 → 288
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 (*.f64 (neg.f64 y) y) x (*.f64 y x)) (patch (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) (patch (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) #<representation binary64>) () ())
#s(alt (fma.f64 y y #s(literal 1 binary64)) (patch (fma.f64 y y #s(literal 1 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) (patch (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) (patch (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) (patch (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) (patch (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
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#s(alt (/ (* x (* y (+ 1 (pow y 2)))) (- 1 y)) (taylor 0 x) (#s(alt (/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (+ 1 (pow y 2)))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) (patch (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y (+ 1 (pow y 2)))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) (patch (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y (+ 1 (pow y 2)))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) (patch (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y (+ 1 (pow y 2)))) (taylor 0 x) (#s(alt (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) (patch (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) (patch (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) (patch (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) (patch (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) (patch (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 y)) (taylor inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 y)) (taylor inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 y)) (taylor inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 y)) (taylor inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) (patch #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) (patch #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) (patch #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) (patch #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) #<representation binary64>) () ())) ())
#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 y))) (taylor inf x) (#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 (- 1 y))) (taylor inf x) (#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 (- 1 y))) (taylor inf x) (#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 (- 1 y))) (taylor inf x) (#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 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 (pow y 2)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) (patch (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (* -1 (pow y 2)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) (patch (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (* -1 (pow y 2)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) (patch (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (* -1 (pow y 2)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) (patch (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (* y (+ 1 (pow y 2)))) (- 1 y)) (taylor inf x) (#s(alt (/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) 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 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) 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 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) 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 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (+ 1 (pow y 2)))) (taylor inf x) (#s(alt (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) (patch (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y (+ 1 (pow y 2)))) (taylor inf x) (#s(alt (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) (patch (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y (+ 1 (pow y 2)))) (taylor inf x) (#s(alt (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) (patch (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y (+ 1 (pow y 2)))) (taylor inf x) (#s(alt (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) (patch (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) (patch (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) (patch (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) (patch (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) (patch (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 y)) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 y)) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 y)) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 y)) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) (patch #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) (patch #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) (patch #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) (patch #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) #<representation binary64>) () ())) ())
#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 y))) (taylor -inf x) (#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 (- 1 y))) (taylor -inf x) (#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 (- 1 y))) (taylor -inf x) (#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 (- 1 y))) (taylor -inf x) (#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 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (pow y 2)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) (patch (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (pow y 2)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) (patch (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (pow y 2)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) (patch (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (pow y 2)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) (patch (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (* y (+ 1 (pow y 2)))) (- 1 y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) 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 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) 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 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) 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 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (+ 1 (pow y 2)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) (patch (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y (+ 1 (pow y 2)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) (patch (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y (+ 1 (pow y 2)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) (patch (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y (+ 1 (pow y 2)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) (patch (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
4.0ms
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) (+ (* (* (neg y) y) x) (* y x)) (* (neg y) y) (/ (* (* (+ (* y y) 1) y) x) (- 1 y)) (* (* (+ (* y y) 1) y) x) (* (+ (* y y) 1) y) (+ (* y y) 1))
3.0ms
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) (+ (* (* (neg y) y) x) (* y x)) (* (neg y) y) (/ (* (* (+ (* y y) 1) y) x) (- 1 y)) (* (* (+ (* y y) 1) y) x) (* (+ (* y y) 1) y) (+ (* y y) 1))
3.0ms
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) (+ (* (* (neg y) y) x) (* y x)) (* (neg y) y) (/ (* (* (+ (* y y) 1) y) x) (- 1 y)) (* (* (+ (* y y) 1) y) x) (* (+ (* y y) 1) y) (+ (* y y) 1))
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) (+ (* (* (neg y) y) x) (* y x)) (* (neg y) y) (/ (* (* (+ (* y y) 1) y) x) (- 1 y)) (* (* (+ (* y y) 1) y) x) (* (+ (* y y) 1) y) (+ (* y y) 1))
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) (+ (* (* (neg y) y) x) (* y x)) (* (neg y) y) (/ (* (* (+ (* y y) 1) y) x) (- 1 y)) (* (* (+ (* y y) 1) y) x) (* (+ (* y y) 1) y) (+ (* y y) 1))

simplify284.0ms (4%)

Memory
-4.5MiB live, 347.9MiB allocated
Algorithm
1×egg-herbie
Rules
37 670×lower-fma.f64
37 670×lower-fma.f32
3 342×lower-*.f64
3 342×lower-*.f32
2 426×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01031819
13651615
210181585
340631577
083601552
Stop Event
1×iter limit
1×node limit
Counts
288 → 286
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)
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* 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 y)
(* y (+ x (* x (pow y 2))))
(* y (+ x (* x (pow y 2))))
(* y (+ x (* x (pow y 2))))
y
(* y (+ 1 (pow y 2)))
(* y (+ 1 (pow y 2)))
(* y (+ 1 (pow y 2)))
1
(+ 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)))
(* -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)
(* -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))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -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))))))
(* x (pow y 3))
(* (pow y 3) (+ x (/ x (pow y 2))))
(* (pow y 3) (+ x (/ x (pow y 2))))
(* (pow y 3) (+ x (/ x (pow y 2))))
(pow y 3)
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(pow y 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 (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)
(* -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))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -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 (pow y 3))
(* -1 (* (pow y 3) (+ (* -1 x) (* -1 (/ x (pow y 2))))))
(* -1 (* (pow y 3) (+ (* -1 x) (* -1 (/ x (pow y 2))))))
(* -1 (* (pow y 3) (+ (* -1 x) (* -1 (/ x (pow y 2))))))
(pow y 3)
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(pow y 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))))
(* 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 (pow y 2))))
(* 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 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))))
(* x (* y (+ 1 (pow y 2))))
(* x (* y (+ 1 (pow y 2))))
(* x (* y (+ 1 (pow y 2))))
(* 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 (pow y 2))))
(* 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 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))))
(* x (* y (+ 1 (pow y 2))))
(* x (* y (+ 1 (pow y 2))))
(* x (* y (+ 1 (pow y 2))))
(* 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)
(* -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))))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(* x (* y (+ 1 (pow y 2))))
(* x (* y (+ 1 (pow y 2))))
(* x (* y (+ 1 (pow y 2))))
(* x (* y (+ 1 (pow y 2))))
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)))
(fma.f64 (neg.f64 x) y x)
(+ x (* -1 (* x y)))
(fma.f64 (neg.f64 x) y x)
(+ x (* -1 (* x y)))
(fma.f64 (neg.f64 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)
(* 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)
(* 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 (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 (* x y)))
(*.f64 (fma.f64 y x x) y)
(* y (+ x (* y (- (* y (- x (* -1 x))) (* -1 x)))))
(*.f64 (fma.f64 (fma.f64 (+.f64 x x) y x) y x) y)
(* y (+ x (* y (- (* y (- (+ x (* y (- x (* -1 x)))) (* -1 x))) (* -1 x)))))
(*.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 x x) y) x) y x) y)
(* x y)
(*.f64 y x)
(* y (+ x (* x (pow y 2))))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x)
(* y (+ x (* x (pow y 2))))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x)
(* y (+ x (* x (pow y 2))))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x)
y
(* y (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) y)
(* y (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) y)
(* y (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) y)
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 (* 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)))
(fma.f64 (neg.f64 x) y x)
(* y (+ (* -1 x) (/ x y)))
(fma.f64 (neg.f64 x) y x)
(* y (+ (* -1 x) (/ x y)))
(fma.f64 (neg.f64 x) 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)
(* -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)
(* -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) (* -1 (/ x y))))
(*.f64 (fma.f64 y x x) (neg.f64 y))
(* (pow y 2) (- (+ (* -1 x) (* -1 (/ x (pow y 2)))) (+ (/ x y) (/ x (pow y 2)))))
(neg.f64 (fma.f64 (fma.f64 y y #s(literal 1 binary64)) x (fma.f64 y 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 (neg.f64 (fma.f64 (fma.f64 y y #s(literal 1 binary64)) x (/.f64 x y))) (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) y) x (/.f64 x y))))
(* x (pow y 3))
(*.f64 (*.f64 (*.f64 y y) y) x)
(* (pow y 3) (+ x (/ x (pow y 2))))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x)
(* (pow y 3) (+ x (/ x (pow y 2))))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x)
(* (pow y 3) (+ x (/ x (pow y 2))))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x)
(pow y 3)
(*.f64 (*.f64 y y) y)
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) y)
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) y)
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) y)
(pow y 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 (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)))))
(fma.f64 (neg.f64 x) y x)
(* -1 (* y (+ x (* -1 (/ x y)))))
(fma.f64 (neg.f64 x) y x)
(* -1 (* y (+ x (* -1 (/ x y)))))
(fma.f64 (neg.f64 x) 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)
(* -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)
(* -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) (* -1 (/ x y))))
(*.f64 (fma.f64 y x x) (neg.f64 y))
(* (pow y 2) (+ (* -1 x) (* -1 (/ (- (+ x (/ x y)) (* -1 (/ x y))) y))))
(neg.f64 (fma.f64 (fma.f64 y y #s(literal 1 binary64)) x (fma.f64 y x x)))
(* (pow y 2) (+ (* -1 x) (* -1 (/ (+ x (* -1 (/ (- (+ (* -1 (- x (* -1 x))) (* -1 (/ x y))) (/ x y)) y))) y))))
(neg.f64 (fma.f64 (*.f64 y y) x (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 x x)) (*.f64 y y)) x) y)))
(* x (pow y 3))
(*.f64 (*.f64 (*.f64 y y) y) x)
(* -1 (* (pow y 3) (+ (* -1 x) (* -1 (/ x (pow y 2))))))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x)
(* -1 (* (pow y 3) (+ (* -1 x) (* -1 (/ x (pow y 2))))))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x)
(* -1 (* (pow y 3) (+ (* -1 x) (* -1 (/ x (pow y 2))))))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x)
(pow y 3)
(*.f64 (*.f64 y y) y)
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) y)
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) y)
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) y)
(pow y 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))
(* 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))
(fma.f64 (neg.f64 x) y x)
(* x (- 1 y))
(fma.f64 (neg.f64 x) y x)
(* x (- 1 y))
(fma.f64 (neg.f64 x) y x)
(* x (- 1 y))
(fma.f64 (neg.f64 x) 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 (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)
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(* x (* y (+ 1 (pow y 2))))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x)
(* x (* y (+ 1 (pow y 2))))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x)
(* x (* y (+ 1 (pow y 2))))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x)
(* x (* y (+ 1 (pow y 2))))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) 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 (- 1 y))
(fma.f64 (neg.f64 x) y x)
(* x (- 1 y))
(fma.f64 (neg.f64 x) y x)
(* x (- 1 y))
(fma.f64 (neg.f64 x) y x)
(* x (- 1 y))
(fma.f64 (neg.f64 x) 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 (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)
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(* x (* y (+ 1 (pow y 2))))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x)
(* x (* y (+ 1 (pow y 2))))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x)
(* x (* y (+ 1 (pow y 2))))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x)
(* x (* y (+ 1 (pow y 2))))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) 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 (- 1 y))
(fma.f64 (neg.f64 x) y x)
(* x (- 1 y))
(fma.f64 (neg.f64 x) y x)
(* x (- 1 y))
(fma.f64 (neg.f64 x) y x)
(* x (- 1 y))
(fma.f64 (neg.f64 x) 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)
(* -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)
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(* x (* y (+ 1 (pow y 2))))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x)
(* x (* y (+ 1 (pow y 2))))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x)
(* x (* y (+ 1 (pow y 2))))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x)
(* x (* y (+ 1 (pow y 2))))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x)

rewrite205.0ms (2.9%)

Memory
14.2MiB live, 294.1MiB allocated
Rules
7 846×lower-fma.f32
7 842×lower-fma.f64
4 830×lower-*.f32
4 814×lower-*.f64
3 308×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02193
03691
111188
265488
3699688
0803388
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
15 → 882
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 (*.f64 (neg.f64 y) y) x (*.f64 y x))
(*.f64 (neg.f64 y) y)
(/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) (-.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) y)
(fma.f64 y y #s(literal 1 binary64))
Outputs
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) y) x) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) y) x) (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) (neg.f64 y) #s(literal 1 binary64)) y) x) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y y) (fma.f64 y y y)))) (-.f64 #s(literal 1 binary64) (fma.f64 y y y)))
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) (neg.f64 y) #s(literal 1 binary64)) y) x) (fma.f64 (*.f64 (fma.f64 y y y) (fma.f64 y y y)) (fma.f64 y y y) #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 (*.f64 x x) (*.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64)))) (*.f64 (*.f64 (*.f64 x x) x) (-.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) y) y) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y)))) (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 (-.f64 #s(literal 1 binary64) y) y) (*.f64 (*.f64 (*.f64 y (*.f64 (*.f64 y y) x)) y) x)))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) (neg.f64 y) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) y) (*.f64 (*.f64 y y) x))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) y) y) (fma.f64 y y y) (*.f64 (*.f64 (*.f64 x x) y) y)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) y) y) x) x)))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) y) y) x) x)))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) (neg.f64 y) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) y) (*.f64 (*.f64 y y) x))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) y) (-.f64 y (*.f64 (neg.f64 y) y))) (*.f64 (*.f64 (*.f64 x x) y) (-.f64 y (*.f64 (neg.f64 y) y)))) (*.f64 (*.f64 (*.f64 x x) y) (-.f64 y (*.f64 (neg.f64 y) y))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y (*.f64 (*.f64 y y) x)) y) x) (*.f64 (*.f64 (*.f64 y (*.f64 (*.f64 y y) x)) y) x)) (*.f64 (*.f64 (*.f64 y (*.f64 (*.f64 y y) x)) y) x)))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y (*.f64 (*.f64 y y) x)) y) x) (*.f64 (*.f64 y (*.f64 (*.f64 y y) x)) y)) x (*.f64 (*.f64 (*.f64 (*.f64 x x) y) (-.f64 y (*.f64 (neg.f64 y) y))) (-.f64 (*.f64 (*.f64 (*.f64 x x) y) (-.f64 y (*.f64 (neg.f64 y) y))) (*.f64 (*.f64 (*.f64 y (*.f64 (*.f64 y y) x)) y) x)))))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64))))) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y))
(*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) y)
(*.f64 (/.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y) x) (/.f64 (*.f64 (neg.f64 y) (fma.f64 x y x)) (-.f64 #s(literal 0 binary64) (fma.f64 y y y))))
(*.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) y) x) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) (neg.f64 y) #s(literal 1 binary64)) y) x) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 y y) y) y))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 y (*.f64 (neg.f64 y) y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (fma.f64 x y x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 x x) y) y) (fma.f64 y y y) (*.f64 (*.f64 (*.f64 x x) y) y))) (*.f64 (fma.f64 (*.f64 y y) (neg.f64 y) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) y) (*.f64 (*.f64 y y) x))))
(*.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 y) (fma.f64 x y x)))))
(*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 y y) (neg.f64 y) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) y) (*.f64 (*.f64 y y) x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) y) y) (fma.f64 y y y) (*.f64 (*.f64 (*.f64 x x) y) y)))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))))
(*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (*.f64 x y)))
(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (fma.f64 x y x))))
(*.f64 (fma.f64 (*.f64 y y) (neg.f64 y) #s(literal 1 binary64)) (/.f64 (*.f64 x y) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))
(*.f64 (fma.f64 (*.f64 y y) (neg.f64 y) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))) (*.f64 x y)))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) y) y) (fma.f64 y y y) (*.f64 (*.f64 (*.f64 x x) y) y)) (/.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y) (fma.f64 (*.f64 (*.f64 (*.f64 x x) y) y) (fma.f64 y y y) (*.f64 (*.f64 (*.f64 x x) y) y))))
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) y) y) (fma.f64 y y y) (*.f64 (*.f64 (*.f64 x x) y) y)) (*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 x x) y) y) (fma.f64 y y y) (*.f64 (*.f64 (*.f64 x x) y) y)))))
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eval231.0ms (3.2%)

Memory
-34.6MiB live, 406.1MiB allocated
Compiler

Compiled 28 116 to 2 247 computations (92% saved)

prune172.0ms (2.4%)

Memory
3.6MiB live, 374.8MiB allocated
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New1 32761 333
Fresh404
Picked145
Done000
Total1 332101 342
Accuracy
100.0%
Counts
1 342 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.1%
(fma.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x) (/.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 y) (fma.f64 x y x))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) y) y) (*.f64 (neg.f64 y) (fma.f64 x y x)))))
✓86.0%
(fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x))
▶49.5%
(/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) #s(approx (- 1 y) (neg.f64 y)))
▶99.8%
(/.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))))
▶99.8%
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)))) y)
▶92.6%
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
✓99.9%
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
▶55.4%
(*.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) y) x)
✓62.6%
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
✓53.1%
#s(approx (* (* x y) (- 1 y)) (*.f64 y x))
Compiler

Compiled 221 to 120 computations (45.7% saved)

simplify154.0ms (2.2%)

Memory
16.2MiB live, 53.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 y #s(literal 1 binary64))
cost-diff0
(/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)))
cost-diff0
(*.f64 x y)
cost-diff1088
(/.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))))
cost-diff0
(fma.f64 y y #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 y y #s(literal 1 binary64)) y)
cost-diff0
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x)
cost-diff0
(/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) #s(approx (- 1 y) (neg.f64 y)))
cost-diff0
(-.f64 #s(literal 1 binary64) y)
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
cost-diff0
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) 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
(-.f64 y #s(literal 1 binary64))
cost-diff0
(/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)))
cost-diff0
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)))) y)
cost-diff1088
(/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))))
Rules
2 344×lower-fma.f32
2 342×lower-fma.f64
1 486×unsub-neg
1 448×lower-*.f32
1 432×lower-*.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
022142
039144
169144
2139141
3327133
4645133
51248133
62724133
74341133
84627133
94653133
104660133
114661133
124853133
134941133
144941133
154941133
164941133
04941133
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)))) y)
(/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))))
x
(/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)))
#s(literal -1 binary64)
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
(*.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
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x
(/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) #s(approx (- 1 y) (neg.f64 y)))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) y)
(fma.f64 y y #s(literal 1 binary64))
y
#s(literal 1 binary64)
x
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)
(/.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))))
(*.f64 x y)
x
y
(/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)))
#s(literal -1 binary64)
(-.f64 y #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)))) y)
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
x
(/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)))
#s(literal -1 binary64)
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
(*.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) y) x)
(*.f64 (*.f64 y x) #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
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x
(/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) #s(approx (- 1 y) (neg.f64 y)))
(*.f64 (/.f64 (*.f64 y x) #s(approx (- 1 y) (neg.f64 y))) (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) y)
(fma.f64 y y #s(literal 1 binary64))
y
#s(literal 1 binary64)
x
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)
(/.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(*.f64 x y)
(*.f64 y x)
x
y
(/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)))
#s(literal -1 binary64)
(-.f64 y #s(literal 1 binary64))
#s(literal 1 binary64)

localize87.0ms (1.2%)

Memory
-10.0MiB live, 68.6MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 y #s(literal 1 binary64))
accuracy0
(*.f64 x y)
accuracy0.01171875
(/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)))
accuracy0.12890625
(/.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))))
accuracy0.046875
(*.f64 (fma.f64 y y #s(literal 1 binary64)) y)
accuracy2.6117965903897105
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x)
accuracy5.11380255108452
(/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) #s(approx (- 1 y) (neg.f64 y)))
accuracy30.31509813368503
#s(approx (- 1 y) (neg.f64 y))
accuracy0
(-.f64 #s(literal 1 binary64) y)
accuracy0.00390625
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
accuracy4.724743672094485
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
accuracy0
(neg.f64 y)
accuracy0.00390625
(*.f64 #s(approx (- 1 y) (neg.f64 y)) y)
accuracy4.724743672094485
(*.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) y) x)
accuracy30.31509813368503
#s(approx (- 1 y) (neg.f64 y))
accuracy0
(-.f64 y #s(literal 1 binary64))
accuracy0.01171875
(/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)))
accuracy0.08203125
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)))) y)
accuracy0.09765625
(/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))))
Samples
68.0ms256×0valid
Compiler

Compiled 133 to 21 computations (84.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-mult: 22.0ms (65.8% of total)
ival-div: 6.0ms (18% of total)
ival-sub: 3.0ms (9% of total)
ival-add: 1.0ms (3% of total)
ival-neg: 1.0ms (3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series27.0ms (0.4%)

Memory
2.6MiB live, 38.1MiB allocated
Counts
17 → 300
Calls
Call 1
Inputs
#s(alt (/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)))) y) (patch (*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)))) y) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (patch (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #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 (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) (patch (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) y) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) (patch (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) #<representation binary64>) () ())
#s(alt (fma.f64 y y #s(literal 1 binary64)) (patch (fma.f64 y y #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)))) (patch (/.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())
Outputs
#s(alt x (taylor 0 y) (#s(alt (/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)))) (patch (/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)))) y) (patch (*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)))) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)))) y) (patch (*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)))) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)))) y) (patch (*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)))) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)))) y) (patch (*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)))) y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (patch (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (patch (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ 1 y))) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (patch (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ 1 (* y (+ 1 y))))) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (patch (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 y) (#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- y 1) (taylor 0 y) (#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- y 1) (taylor 0 y) (#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- y 1) (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 (*.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 (* -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 (-.f64 #s(literal 1 binary64) y) y) x) (patch (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) (patch (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) (patch (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) (patch (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 y))) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 y))) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 y))) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) 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>) () ())) ())
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#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
7.0ms
x
@inf
((/ x (/ -1 (- y 1))) (* (/ x (/ -1 (- y 1))) y) (/ -1 (- y 1)) (- y 1) (* (* (- 1 y) y) x) (* (- 1 y) y) (- 1 y) (neg y) (* (* (- 1 y) y) x) (* (- 1 y) y) (- 1 y) (/ (* (* (+ (* y y) 1) y) x) (- 1 y)) (* (* (+ (* y y) 1) y) x) (* (+ (* y y) 1) y) (+ (* y y) 1) (/ (* x y) (/ -1 (- y 1))) (* x y))
5.0ms
x
@0
((/ x (/ -1 (- y 1))) (* (/ x (/ -1 (- y 1))) y) (/ -1 (- y 1)) (- y 1) (* (* (- 1 y) y) x) (* (- 1 y) y) (- 1 y) (neg y) (* (* (- 1 y) y) x) (* (- 1 y) y) (- 1 y) (/ (* (* (+ (* y y) 1) y) x) (- 1 y)) (* (* (+ (* y y) 1) y) x) (* (+ (* y y) 1) y) (+ (* y y) 1) (/ (* x y) (/ -1 (- y 1))) (* x y))
2.0ms
x
@-inf
((/ x (/ -1 (- y 1))) (* (/ x (/ -1 (- y 1))) y) (/ -1 (- y 1)) (- y 1) (* (* (- 1 y) y) x) (* (- 1 y) y) (- 1 y) (neg y) (* (* (- 1 y) y) x) (* (- 1 y) y) (- 1 y) (/ (* (* (+ (* y y) 1) y) x) (- 1 y)) (* (* (+ (* y y) 1) y) x) (* (+ (* y y) 1) y) (+ (* y y) 1) (/ (* x y) (/ -1 (- y 1))) (* x y))
2.0ms
y
@inf
((/ x (/ -1 (- y 1))) (* (/ x (/ -1 (- y 1))) y) (/ -1 (- y 1)) (- y 1) (* (* (- 1 y) y) x) (* (- 1 y) y) (- 1 y) (neg y) (* (* (- 1 y) y) x) (* (- 1 y) y) (- 1 y) (/ (* (* (+ (* y y) 1) y) x) (- 1 y)) (* (* (+ (* y y) 1) y) x) (* (+ (* y y) 1) y) (+ (* y y) 1) (/ (* x y) (/ -1 (- y 1))) (* x y))
2.0ms
y
@-inf
((/ x (/ -1 (- y 1))) (* (/ x (/ -1 (- y 1))) y) (/ -1 (- y 1)) (- y 1) (* (* (- 1 y) y) x) (* (- 1 y) y) (- 1 y) (neg y) (* (* (- 1 y) y) x) (* (- 1 y) y) (- 1 y) (/ (* (* (+ (* y y) 1) y) x) (- 1 y)) (* (* (+ (* y y) 1) y) x) (* (+ (* y y) 1) y) (+ (* y y) 1) (/ (* x y) (/ -1 (- y 1))) (* x y))

simplify238.0ms (3.3%)

Memory
-5.3MiB live, 272.5MiB allocated
Algorithm
1×egg-herbie
Rules
30 888×lower-fma.f64
30 888×lower-fma.f32
4 212×lower-*.f64
4 212×lower-*.f32
1 960×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01291941
14371727
212251695
348511688
084661663
Stop Event
1×iter limit
1×node limit
Counts
300 → 294
Calls
Call 1
Inputs
x
(+ x (* -1 (* x y)))
(+ x (* -1 (* x y)))
(+ x (* -1 (* x y)))
(* 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)))))
-1
(- y 1)
(- y 1)
(- y 1)
(* 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))
(* -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 (* 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 y)
(* y (+ x (* x (pow y 2))))
(* y (+ x (* x (pow y 2))))
(* y (+ x (* x (pow y 2))))
y
(* y (+ 1 (pow y 2)))
(* y (+ 1 (pow y 2)))
(* y (+ 1 (pow y 2)))
1
(+ 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 (* x y))
(* y (+ (* -1 x) (/ x y)))
(* y (+ (* -1 x) (/ x y)))
(* y (+ (* -1 x) (/ x y)))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(/ -1 y)
(* -1 (/ (+ 1 (/ 1 y)) y))
(/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y)
(/ (- (* -1 (/ (+ 1 (/ 1 y)) (pow y 2))) (+ 1 (/ 1 y))) y)
y
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
(* 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 (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 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) (* -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))))))
(* x (pow y 3))
(* (pow y 3) (+ x (/ x (pow y 2))))
(* (pow y 3) (+ x (/ x (pow y 2))))
(* (pow y 3) (+ x (/ x (pow y 2))))
(pow y 3)
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(pow y 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 (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 y))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(/ -1 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))
y
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(* -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 (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 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) (* -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 (pow y 3))
(* -1 (* (pow y 3) (+ (* -1 x) (* -1 (/ x (pow y 2))))))
(* -1 (* (pow y 3) (+ (* -1 x) (* -1 (/ x (pow y 2))))))
(* -1 (* (pow y 3) (+ (* -1 x) (* -1 (/ x (pow y 2))))))
(pow y 3)
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(pow y 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 (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 (- y 1)))
(* -1 (* x (- y 1)))
(* -1 (* x (- y 1)))
(* -1 (* x (- y 1)))
(* -1 (* x (* y (- y 1))))
(* -1 (* x (* y (- y 1))))
(* -1 (* x (* y (- y 1))))
(* -1 (* x (* y (- y 1))))
(* 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 (pow y 2))))
(* x (* y (+ 1 (pow y 2))))
(* x (* y (+ 1 (pow y 2))))
(* x (* y (+ 1 (pow y 2))))
(* -1 (* x (* y (- y 1))))
(* -1 (* x (* y (- y 1))))
(* -1 (* x (* y (- y 1))))
(* -1 (* x (* y (- y 1))))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* x (- y 1)))
(* -1 (* x (- y 1)))
(* -1 (* x (- y 1)))
(* -1 (* x (- y 1)))
(* -1 (* x (* y (- y 1))))
(* -1 (* x (* y (- y 1))))
(* -1 (* x (* y (- y 1))))
(* -1 (* x (* y (- y 1))))
(* 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 (pow y 2))))
(* x (* y (+ 1 (pow y 2))))
(* x (* y (+ 1 (pow y 2))))
(* x (* y (+ 1 (pow y 2))))
(* -1 (* x (* y (- y 1))))
(* -1 (* x (* y (- y 1))))
(* -1 (* x (* y (- y 1))))
(* -1 (* x (* y (- y 1))))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* x (- y 1)))
(* -1 (* x (- y 1)))
(* -1 (* x (- y 1)))
(* -1 (* x (- y 1)))
(* -1 (* x (* y (- y 1))))
(* -1 (* x (* y (- y 1))))
(* -1 (* x (* y (- y 1))))
(* -1 (* x (* y (- y 1))))
(* 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 (pow y 2))))
(* x (* y (+ 1 (pow y 2))))
(* x (* y (+ 1 (pow y 2))))
(* x (* y (+ 1 (pow y 2))))
(* -1 (* x (* y (- y 1))))
(* -1 (* x (* y (- y 1))))
(* -1 (* x (* y (- y 1))))
(* -1 (* x (* y (- y 1))))
(* x y)
(* x y)
(* x y)
(* x y)
Outputs
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))
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (* x y))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* y (+ x (* -1 (* x y))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* y (+ x (* -1 (* x y))))
(*.f64 (-.f64 x (*.f64 y x)) y)
1
#s(literal 1 binary64)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
(+ 1 (* y (+ 1 y)))
(fma.f64 (+.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))
(+ 1 (* y (+ 1 (* y (+ 1 y)))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y))
-1
#s(literal -1 binary64)
(- y 1)
(-.f64 y #s(literal 1 binary64))
(- y 1)
(-.f64 y #s(literal 1 binary64))
(- y 1)
(-.f64 y #s(literal 1 binary64))
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (* x y))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* y (+ x (* -1 (* x y))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* y (+ x (* -1 (* x y))))
(*.f64 (-.f64 x (*.f64 y x)) 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)
(* 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)
(* -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 x (*.f64 y x)) y)
(* y (+ x (* -1 (* x y))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* y (+ x (* -1 (* x y))))
(*.f64 (-.f64 x (*.f64 y x)) 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)
(* 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 (* x y)))
(*.f64 (fma.f64 y x x) y)
(* y (+ x (* y (- (* y (- x (* -1 x))) (* -1 x)))))
(*.f64 (fma.f64 (fma.f64 (+.f64 x x) y x) y x) y)
(* y (+ x (* y (- (* y (- (+ x (* y (- x (* -1 x)))) (* -1 x))) (* -1 x)))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 x x)) y x) y x) y)
(* x y)
(*.f64 y x)
(* y (+ x (* x (pow y 2))))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x)
(* y (+ x (* x (pow y 2))))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x)
(* y (+ x (* x (pow y 2))))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x)
y
(* y (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) y)
(* y (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) y)
(* y (+ 1 (pow y 2)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) y)
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 (* -1 (* x y))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* y (+ x (* -1 (* x y))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* y (+ x (* -1 (* x y))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* y (+ (* -1 x) (/ x y)))
(-.f64 x (*.f64 y x))
(* y (+ (* -1 x) (/ x y)))
(-.f64 x (*.f64 y x))
(* y (+ (* -1 x) (/ x y)))
(-.f64 x (*.f64 y x))
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(* -1 (/ (+ 1 (/ 1 y)) y))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) y)
(/ (- (* -1 (/ (+ 1 (/ 1 y)) 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 #s(literal -1 binary64) y) #s(literal 1 binary64)) y) y) #s(literal 1 binary64)) (*.f64 y y))
y
(* y (- 1 (/ 1 y)))
(-.f64 y #s(literal 1 binary64))
(* y (- 1 (/ 1 y)))
(-.f64 y #s(literal 1 binary64))
(* y (- 1 (/ 1 y)))
(-.f64 y #s(literal 1 binary64))
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* (pow y 2) (- (/ 1 y) 1))
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(* (pow y 2) (- (/ 1 y) 1))
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(* (pow y 2) (- (/ 1 y) 1))
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(* -1 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)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* (pow y 2) (- (/ 1 y) 1))
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(* (pow y 2) (- (/ 1 y) 1))
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(* (pow y 2) (- (/ 1 y) 1))
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(* -1 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) (* -1 (/ x y))))
(*.f64 (neg.f64 x) (fma.f64 y y y))
(* (pow y 2) (- (+ (* -1 x) (* -1 (/ x (pow y 2)))) (+ (/ x y) (/ x (pow y 2)))))
(fma.f64 (fma.f64 y y #s(literal 1 binary64)) (neg.f64 x) (neg.f64 (fma.f64 y 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)) (fma.f64 (fma.f64 y y #s(literal 1 binary64)) (neg.f64 x) (/.f64 (neg.f64 x) y)))
(* x (pow y 3))
(*.f64 (*.f64 (*.f64 y y) y) x)
(* (pow y 3) (+ x (/ x (pow y 2))))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x)
(* (pow y 3) (+ x (/ x (pow y 2))))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x)
(* (pow y 3) (+ x (/ x (pow y 2))))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x)
(pow y 3)
(*.f64 (*.f64 y y) y)
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) y)
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) y)
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) y)
(pow y 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 (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* y (+ x (* -1 (/ x y)))))
(-.f64 x (*.f64 y x))
(* -1 (* y (+ x (* -1 (/ x y)))))
(-.f64 x (*.f64 y x))
(* -1 (* y (+ x (* -1 (/ x y)))))
(-.f64 x (*.f64 y x))
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(* -1 (/ (+ 1 (/ 1 y)) y))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) y)
(* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) #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 #s(literal -1 binary64) y) #s(literal 1 binary64)) y) y) #s(literal 1 binary64)) (*.f64 y y))
y
(* -1 (* y (- (/ 1 y) 1)))
(-.f64 y #s(literal 1 binary64))
(* -1 (* y (- (/ 1 y) 1)))
(-.f64 y #s(literal 1 binary64))
(* -1 (* y (- (/ 1 y) 1)))
(-.f64 y #s(literal 1 binary64))
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* (pow y 2) (- (/ 1 y) 1))
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(* (pow y 2) (- (/ 1 y) 1))
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(* (pow y 2) (- (/ 1 y) 1))
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(* -1 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)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* (pow y 2) (- (/ 1 y) 1))
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(* (pow y 2) (- (/ 1 y) 1))
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(* (pow y 2) (- (/ 1 y) 1))
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(* -1 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) (* -1 (/ x y))))
(*.f64 (neg.f64 x) (fma.f64 y y y))
(* (pow y 2) (+ (* -1 x) (* -1 (/ (- (+ x (/ x y)) (* -1 (/ x y))) y))))
(fma.f64 (fma.f64 y y #s(literal 1 binary64)) (neg.f64 x) (neg.f64 (fma.f64 y x x)))
(* (pow y 2) (+ (* -1 x) (* -1 (/ (+ x (* -1 (/ (- (+ (* -1 (- x (* -1 x))) (* -1 (/ x y))) (/ x y)) y))) y))))
(neg.f64 (fma.f64 (*.f64 y y) x (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 x x)) (*.f64 y y)) x) y)))
(* x (pow y 3))
(*.f64 (*.f64 (*.f64 y y) y) x)
(* -1 (* (pow y 3) (+ (* -1 x) (* -1 (/ x (pow y 2))))))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x)
(* -1 (* (pow y 3) (+ (* -1 x) (* -1 (/ x (pow y 2))))))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x)
(* -1 (* (pow y 3) (+ (* -1 x) (* -1 (/ x (pow y 2))))))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x)
(pow y 3)
(*.f64 (*.f64 y y) y)
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) y)
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) y)
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) y)
(pow y 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 (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* -1 (* x (- y 1)))
(-.f64 x (*.f64 y x))
(* -1 (* x (- y 1)))
(-.f64 x (*.f64 y x))
(* -1 (* x (- y 1)))
(-.f64 x (*.f64 y x))
(* -1 (* x (- y 1)))
(-.f64 x (*.f64 y x))
(* -1 (* x (* y (- y 1))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* -1 (* x (* y (- y 1))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* -1 (* x (* y (- y 1))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* -1 (* x (* y (- y 1))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* x (* y (- 1 y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* x (* y (- 1 y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* x (* y (- 1 y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* x (* y (- 1 y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* x (* y (- 1 y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* x (* y (- 1 y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* x (* y (- 1 y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* x (* y (- 1 y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(* x (* y (+ 1 (pow y 2))))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x)
(* x (* y (+ 1 (pow y 2))))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x)
(* x (* y (+ 1 (pow y 2))))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x)
(* x (* y (+ 1 (pow y 2))))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x)
(* -1 (* x (* y (- y 1))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* -1 (* x (* y (- y 1))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* -1 (* x (* y (- y 1))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* -1 (* x (* y (- y 1))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* -1 (* x (- y 1)))
(-.f64 x (*.f64 y x))
(* -1 (* x (- y 1)))
(-.f64 x (*.f64 y x))
(* -1 (* x (- y 1)))
(-.f64 x (*.f64 y x))
(* -1 (* x (- y 1)))
(-.f64 x (*.f64 y x))
(* -1 (* x (* y (- y 1))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* -1 (* x (* y (- y 1))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* -1 (* x (* y (- y 1))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* -1 (* x (* y (- y 1))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* x (* y (- 1 y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* x (* y (- 1 y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* x (* y (- 1 y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* x (* y (- 1 y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* x (* y (- 1 y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* x (* y (- 1 y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* x (* y (- 1 y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* x (* y (- 1 y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(* x (* y (+ 1 (pow y 2))))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x)
(* x (* y (+ 1 (pow y 2))))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x)
(* x (* y (+ 1 (pow y 2))))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x)
(* x (* y (+ 1 (pow y 2))))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x)
(* -1 (* x (* y (- y 1))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* -1 (* x (* y (- y 1))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* -1 (* x (* y (- y 1))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* -1 (* x (* y (- y 1))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* -1 (* x (- y 1)))
(-.f64 x (*.f64 y x))
(* -1 (* x (- y 1)))
(-.f64 x (*.f64 y x))
(* -1 (* x (- y 1)))
(-.f64 x (*.f64 y x))
(* -1 (* x (- y 1)))
(-.f64 x (*.f64 y x))
(* -1 (* x (* y (- y 1))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* -1 (* x (* y (- y 1))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* -1 (* x (* y (- y 1))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* -1 (* x (* y (- y 1))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* x (* y (- 1 y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* x (* y (- 1 y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* x (* y (- 1 y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* x (* y (- 1 y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* x (* y (- 1 y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* x (* y (- 1 y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* x (* y (- 1 y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* x (* y (- 1 y)))
(*.f64 (-.f64 x (*.f64 y x)) y)
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(* x (* y (+ 1 (pow y 2))))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x)
(* x (* y (+ 1 (pow y 2))))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x)
(* x (* y (+ 1 (pow y 2))))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x)
(* x (* y (+ 1 (pow y 2))))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x)
(* -1 (* x (* y (- y 1))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* -1 (* x (* y (- y 1))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* -1 (* x (* y (- y 1))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* -1 (* x (* y (- y 1))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)

rewrite221.0ms (3.1%)

Memory
4.2MiB live, 316.3MiB allocated
Rules
3 718×lower-fma.f32
3 716×lower-fma.f64
3 364×lower-*.f32
3 348×lower-*.f64
2 978×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022110
039112
1126101
2736101
36574101
0866697
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
17 → 1 797
Calls
Call 1
Inputs
(/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)))) y)
(/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)))
(-.f64 y #s(literal 1 binary64))
(*.f64 (*.f64 #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)
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(-.f64 #s(literal 1 binary64) y)
(/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) #s(approx (- 1 y) (neg.f64 y)))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) y)
(fma.f64 y y #s(literal 1 binary64))
(/.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))))
(*.f64 x y)
Outputs
(*.f64 (/.f64 (*.f64 x (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 x (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (*.f64 x (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 (/.f64 (*.f64 x (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 y y) y) y (fma.f64 y y #s(literal -1 binary64)))) (fma.f64 y y (-.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (fma.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)))) (-.f64 (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 y (fma.f64 y y y))))
(*.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y y y) #s(literal 1 binary64))) (fma.f64 (fma.f64 y y y) (fma.f64 y y (-.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) y)) (/.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64)))
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(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 y x))))
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) (*.f64 y x))))
(/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) y) (-.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) y) (-.f64 y #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x) (*.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 y y y) x) #s(literal 1 binary64))
(/.f64 (*.f64 (fma.f64 y y y) x) #s(literal -1 binary64))
(/.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 y x))))
(/.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal -1 binary64)) (*.f64 y x)) (*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal -1 binary64)) (*.f64 y x)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal -1 binary64)) (*.f64 y x)) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (*.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 y x))))
(/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(/.f64 (fma.f64 y y y) (/.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 y y y) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal -1 binary64)) x) y) (-.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal -1 binary64)) x) y) (-.f64 y #s(literal 1 binary64)))
(/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 y y y)))
(/.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))
(/.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))))
(/.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))
(/.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))))
(/.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 y #s(literal 1 binary64)) x)))
(/.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 y y) y #s(literal -1 binary64)) (*.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y y) x)))
(/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) x)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y y) x)))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y y y)))
(neg.f64 (*.f64 (fma.f64 y y y) x))
(fma.f64 (*.f64 y (*.f64 y x)) #s(literal -1 binary64) (*.f64 y x))
(fma.f64 (*.f64 (*.f64 (neg.f64 y) x) y) #s(literal 1 binary64) (*.f64 y x))
(fma.f64 (neg.f64 (neg.f64 y)) x (*.f64 (neg.f64 y) (*.f64 y x)))
(fma.f64 (neg.f64 (neg.f64 y)) x (*.f64 (*.f64 (neg.f64 y) y) x))
(fma.f64 (neg.f64 (neg.f64 y)) x (*.f64 (*.f64 (neg.f64 y) x) y))
(fma.f64 (neg.f64 x) (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 y x)))
(fma.f64 (neg.f64 x) (neg.f64 y) (*.f64 (*.f64 (neg.f64 y) y) x))
(fma.f64 (neg.f64 x) (neg.f64 y) (*.f64 (*.f64 (neg.f64 y) x) y))
(fma.f64 (neg.f64 x) y (*.f64 y (*.f64 y x)))
(fma.f64 (neg.f64 x) y (*.f64 (*.f64 y x) y))
(fma.f64 (*.f64 (neg.f64 y) x) #s(literal 1 binary64) (*.f64 y (*.f64 y x)))
(fma.f64 (*.f64 (neg.f64 y) x) #s(literal 1 binary64) (*.f64 (*.f64 y x) y))
(fma.f64 (*.f64 (neg.f64 y) x) y (*.f64 y x))
(fma.f64 (*.f64 (neg.f64 y) x) #s(literal -1 binary64) (*.f64 (neg.f64 y) (*.f64 y x)))
(fma.f64 (*.f64 (neg.f64 y) x) #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 y) y) x))
(fma.f64 (*.f64 (neg.f64 y) x) #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 y) x) y))
(fma.f64 (*.f64 y y) (neg.f64 x) (*.f64 y x))
(fma.f64 (*.f64 y x) (neg.f64 y) (*.f64 y x))
(fma.f64 (*.f64 y x) #s(literal 1 binary64) (*.f64 (neg.f64 y) (*.f64 y x)))
(fma.f64 (*.f64 y x) #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) y) x))
(fma.f64 (*.f64 y x) #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) x) y))
(fma.f64 (*.f64 y x) y (*.f64 (neg.f64 y) x))
(fma.f64 (*.f64 y x) #s(literal -1 binary64) (*.f64 y (*.f64 y x)))
(fma.f64 (*.f64 y x) #s(literal -1 binary64) (*.f64 (*.f64 y x) y))
(fma.f64 (neg.f64 y) (neg.f64 x) (*.f64 (neg.f64 y) (*.f64 y x)))
(fma.f64 (neg.f64 y) (neg.f64 x) (*.f64 (*.f64 (neg.f64 y) y) x))
(fma.f64 (neg.f64 y) (neg.f64 x) (*.f64 (*.f64 (neg.f64 y) x) y))
(fma.f64 (neg.f64 y) (*.f64 y x) (*.f64 y x))
(fma.f64 (neg.f64 y) x (*.f64 y (*.f64 y x)))
(fma.f64 (neg.f64 y) x (*.f64 (*.f64 y x) y))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) x) y) (*.f64 y x))
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) x) (*.f64 y (*.f64 y x)))
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) x) (*.f64 (*.f64 y x) y))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (*.f64 (neg.f64 y) (*.f64 y x)))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (*.f64 (*.f64 (neg.f64 y) y) x))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (*.f64 (*.f64 (neg.f64 y) x) y))
(fma.f64 y (neg.f64 x) (*.f64 y (*.f64 y x)))
(fma.f64 y (neg.f64 x) (*.f64 (*.f64 y x) y))
(fma.f64 y (*.f64 (neg.f64 y) x) (*.f64 y x))
(fma.f64 y (*.f64 y x) (*.f64 (neg.f64 y) x))
(fma.f64 y x (*.f64 (neg.f64 y) (*.f64 y x)))
(fma.f64 y x (*.f64 (*.f64 (neg.f64 y) y) x))
(fma.f64 y x (*.f64 (*.f64 (neg.f64 y) x) y))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) (*.f64 y x)))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) x) (*.f64 (*.f64 (neg.f64 y) y) x))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) x) (*.f64 (*.f64 (neg.f64 y) x) y))
(fma.f64 #s(literal -1 binary64) (*.f64 y x) (*.f64 y (*.f64 y x)))
(fma.f64 #s(literal -1 binary64) (*.f64 y x) (*.f64 (*.f64 y x) y))
(fma.f64 x (*.f64 (neg.f64 y) #s(literal -1 binary64)) (*.f64 (neg.f64 y) (*.f64 y x)))
(fma.f64 x (*.f64 (neg.f64 y) #s(literal -1 binary64)) (*.f64 (*.f64 (neg.f64 y) y) x))
(fma.f64 x (*.f64 (neg.f64 y) #s(literal -1 binary64)) (*.f64 (*.f64 (neg.f64 y) x) y))
(fma.f64 x (neg.f64 (neg.f64 y)) (*.f64 (neg.f64 y) (*.f64 y x)))
(fma.f64 x (neg.f64 (neg.f64 y)) (*.f64 (*.f64 (neg.f64 y) y) x))
(fma.f64 x (neg.f64 (neg.f64 y)) (*.f64 (*.f64 (neg.f64 y) x) y))
(fma.f64 x (*.f64 (neg.f64 y) y) (*.f64 y x))
(fma.f64 x (neg.f64 y) (*.f64 y (*.f64 y x)))
(fma.f64 x (neg.f64 y) (*.f64 (*.f64 y x) y))
(fma.f64 x y (*.f64 (neg.f64 y) (*.f64 y x)))
(fma.f64 x y (*.f64 (*.f64 (neg.f64 y) y) x))
(fma.f64 x y (*.f64 (*.f64 (neg.f64 y) x) y))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64)))) (*.f64 (fma.f64 y y y) x))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)))) (*.f64 (fma.f64 y y y) x))
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y y y) x))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (fma.f64 y y y) x))) #s(literal -1 binary64)))
(+.f64 (*.f64 y (*.f64 y x)) (*.f64 (neg.f64 y) x))
(+.f64 (*.f64 (neg.f64 y) (*.f64 y x)) (*.f64 y x))
(+.f64 (*.f64 (*.f64 y x) y) (*.f64 (neg.f64 y) x))
(+.f64 (*.f64 (*.f64 (neg.f64 y) x) y) (*.f64 y x))
(+.f64 (*.f64 (neg.f64 y) x) (*.f64 y (*.f64 y x)))
(+.f64 (*.f64 (neg.f64 y) x) (*.f64 (*.f64 y x) y))
(+.f64 (*.f64 y x) (*.f64 (neg.f64 y) (*.f64 y x)))
(+.f64 (*.f64 y x) (*.f64 (*.f64 (neg.f64 y) y) x))
(+.f64 (*.f64 y x) (*.f64 (*.f64 (neg.f64 y) x) y))
(*.f64 (neg.f64 (neg.f64 y)) x)
(*.f64 (neg.f64 x) (neg.f64 y))
(*.f64 (*.f64 (neg.f64 y) x) #s(literal -1 binary64))
(*.f64 (*.f64 y x) #s(literal 1 binary64))
(*.f64 (neg.f64 y) (neg.f64 x))
(*.f64 #s(literal 1 binary64) (*.f64 y x))
(*.f64 y x)
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) x))
(*.f64 x (*.f64 (neg.f64 y) #s(literal -1 binary64)))
(*.f64 x (neg.f64 (neg.f64 y)))
(*.f64 x y)
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal -1 binary64))
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(/.f64 (*.f64 (neg.f64 y) x) #s(literal -1 binary64))
(/.f64 (*.f64 y x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y x)))
(neg.f64 (*.f64 (neg.f64 y) x))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) x))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x))) #s(literal -1 binary64)))

eval558.0ms (7.8%)

Memory
-41.9MiB live, 583.3MiB allocated
Compiler

Compiled 39 309 to 4 038 computations (89.7% saved)

prune503.0ms (7%)

Memory
4.8MiB live, 517.1MiB allocated
Pruning

11 alts after pruning (5 fresh and 6 done)

PrunedKeptTotal
New2 36552 370
Fresh101
Picked325
Done044
Total2 369112 380
Accuracy
100.0%
Counts
2 380 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓86.0%
(fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x))
▶99.2%
(/.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 y x)))
▶50.7%
(/.f64 (*.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) x) #s(approx (- 1 y) (neg.f64 y)))
▶62.6%
(/.f64 (*.f64 x y) #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y)))
▶62.6%
(*.f64 (/.f64 x #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y))) y)
▶92.6%
(*.f64 (+.f64 (*.f64 (neg.f64 y) y) y) x)
✓92.6%
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
✓99.9%
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
✓55.4%
(*.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) y) x)
✓62.6%
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
✓53.1%
#s(approx (* (* x y) (- 1 y)) (*.f64 y x))
Compiler

Compiled 163 to 97 computations (40.5% saved)

simplify216.0ms (3%)

Memory
-31.1MiB live, 52.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (+ (* y y) 1) (*.f64 y y))
cost-diff0
(*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y)
cost-diff0
(*.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) x)
cost-diff0
(/.f64 (*.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) x) #s(approx (- 1 y) (neg.f64 y)))
cost-diff0
(/.f64 #s(literal -1 binary64) y)
cost-diff0
#s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y))
cost-diff0
(*.f64 x y)
cost-diff0
(/.f64 (*.f64 x y) #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y)))
cost-diff0
(/.f64 #s(literal -1 binary64) y)
cost-diff0
#s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y))
cost-diff0
(/.f64 x #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y)))
cost-diff0
(*.f64 (/.f64 x #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y))) y)
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 (neg.f64 y) y)
cost-diff0
(*.f64 (+.f64 (*.f64 (neg.f64 y) y) y) x)
cost-diff128
(+.f64 (*.f64 (neg.f64 y) y) y)
cost-diff0
(*.f64 y x)
cost-diff0
(/.f64 #s(literal -1 binary64) (*.f64 y x))
cost-diff0
(-.f64 y #s(literal 1 binary64))
cost-diff1088
(/.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 y x)))
Rules
1 664×lower-fma.f64
1 664×lower-fma.f32
1 456×lower-*.f32
1 440×lower-*.f64
1 180×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029182
046183
176182
2134182
3258178
4468178
51408178
63236178
74745178
85370178
95471178
105520178
115538178
125810178
136700178
147194178
157194178
167194178
177346178
187482178
197482178
07482174
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 y x)))
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) (*.f64 y x))
#s(literal -1 binary64)
(*.f64 y x)
x
(*.f64 (+.f64 (*.f64 (neg.f64 y) y) y) x)
(+.f64 (*.f64 (neg.f64 y) y) y)
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
x
(*.f64 (/.f64 x #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y))) y)
(/.f64 x #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y)))
x
#s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
(/.f64 (*.f64 x y) #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y)))
(*.f64 x y)
x
y
#s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
(/.f64 (*.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) x) #s(approx (- 1 y) (neg.f64 y)))
(*.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) x)
(*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y)
#s(approx (+ (* y y) 1) (*.f64 y y))
(*.f64 y y)
y
x
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)
Outputs
(/.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 y x)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) (*.f64 y x))
(/.f64 #s(literal -1 binary64) (*.f64 x y))
#s(literal -1 binary64)
(*.f64 y x)
(*.f64 x y)
x
(*.f64 (+.f64 (*.f64 (neg.f64 y) y) y) x)
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(+.f64 (*.f64 (neg.f64 y) y) y)
(fma.f64 (neg.f64 y) y y)
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
x
(*.f64 (/.f64 x #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y))) y)
(/.f64 (*.f64 x y) #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y)))
(/.f64 x #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y)))
x
#s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
(/.f64 (*.f64 x y) #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y)))
(*.f64 x y)
x
y
#s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
(/.f64 (*.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) x) #s(approx (- 1 y) (neg.f64 y)))
(*.f64 (/.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) #s(approx (+ (* y y) 1) (*.f64 y y)))
(*.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) x)
(*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) (*.f64 x y))
(*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y)
#s(approx (+ (* y y) 1) (*.f64 y y))
(*.f64 y y)
y
x
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)

localize69.0ms (1%)

Memory
-0.1MiB live, 116.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy2.6117965903897105
(*.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) x)
accuracy5.11380255108452
(/.f64 (*.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) x) #s(approx (- 1 y) (neg.f64 y)))
accuracy30.069770602076122
#s(approx (+ (* y y) 1) (*.f64 y y))
accuracy30.31509813368503
#s(approx (- 1 y) (neg.f64 y))
accuracy0
(/.f64 #s(literal -1 binary64) y)
accuracy0
(*.f64 x y)
accuracy0.12890625
(/.f64 (*.f64 x y) #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y)))
accuracy30.487122204251
#s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y))
accuracy0
(/.f64 #s(literal -1 binary64) y)
accuracy0.08203125
(*.f64 (/.f64 x #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y))) y)
accuracy0.09765625
(/.f64 x #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y)))
accuracy30.487122204251
#s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y))
accuracy0
(*.f64 (neg.f64 y) y)
accuracy0
(neg.f64 y)
accuracy0.01171875
(+.f64 (*.f64 (neg.f64 y) y) y)
accuracy4.724743672094485
(*.f64 (+.f64 (*.f64 (neg.f64 y) y) y) x)
accuracy0
(-.f64 y #s(literal 1 binary64))
accuracy0
(*.f64 y x)
accuracy0.3726605663659789
(/.f64 #s(literal -1 binary64) (*.f64 y x))
accuracy0.5549477502425373
(/.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 y x)))
Samples
53.0ms256×0valid
Compiler

Compiled 142 to 26 computations (81.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-mult: 14.0ms (44% of total)
ival-div: 11.0ms (34.6% of total)
ival-sub: 3.0ms (9.4% of total)
ival-add: 2.0ms (6.3% of total)
ival-neg: 1.0ms (3.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series50.0ms (0.7%)

Memory
-7.7MiB live, 32.5MiB allocated
Counts
19 → 348
Calls
Call 1
Inputs
#s(alt (/.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 y x))) (patch (/.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 y x))) #<representation binary64>) () ())
#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (*.f64 y x)) (patch (/.f64 #s(literal -1 binary64) (*.f64 y x)) #<representation binary64>) () ())
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())
#s(alt (+.f64 (*.f64 (neg.f64 y) y) y) (patch (+.f64 (*.f64 (neg.f64 y) y) y) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 (*.f64 (neg.f64 y) y) y) x) (patch (*.f64 (+.f64 (*.f64 (neg.f64 y) y) y) x) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 x #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y))) y) (patch (*.f64 (/.f64 x #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y))) y) #<representation binary64>) () ())
#s(alt (/.f64 x #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y))) (patch (/.f64 x #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())
#s(alt #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y)) (patch #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 x y) #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y))) (patch (/.f64 (*.f64 x y) #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) x) #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 (*.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) x) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) x) (patch (*.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) x) #<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 #s(approx (+ (* y y) 1) (*.f64 y y)) (patch #s(approx (+ (* y y) 1) (*.f64 y y)) #<representation binary64>) () ())
#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())
Outputs
#s(alt (* x y) (taylor 0 y) (#s(alt (/.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 y x))) (patch (/.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (/.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 y x))) (patch (/.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (/.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 y x))) (patch (/.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (/.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 y x))) (patch (/.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 y x))) #<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 (- y 1) (taylor 0 y) (#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- y 1) (taylor 0 y) (#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- y 1) (taylor 0 y) (#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x y)) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 y x)) (patch (/.f64 #s(literal -1 binary64) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x y)) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 y x)) (patch (/.f64 #s(literal -1 binary64) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x y)) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 y x)) (patch (/.f64 #s(literal -1 binary64) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (* x y)) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 y x)) (patch (/.f64 #s(literal -1 binary64) (*.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 y (taylor 0 y) (#s(alt (+.f64 (*.f64 (neg.f64 y) y) y) (patch (+.f64 (*.f64 (neg.f64 y) y) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 y))) (taylor 0 y) (#s(alt (+.f64 (*.f64 (neg.f64 y) y) y) (patch (+.f64 (*.f64 (neg.f64 y) y) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 y))) (taylor 0 y) (#s(alt (+.f64 (*.f64 (neg.f64 y) y) y) (patch (+.f64 (*.f64 (neg.f64 y) y) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 y))) (taylor 0 y) (#s(alt (+.f64 (*.f64 (neg.f64 y) y) y) (patch (+.f64 (*.f64 (neg.f64 y) y) y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 (+.f64 (*.f64 (neg.f64 y) y) y) x) (patch (*.f64 (+.f64 (*.f64 (neg.f64 y) y) y) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (*.f64 (+.f64 (*.f64 (neg.f64 y) y) y) x) (patch (*.f64 (+.f64 (*.f64 (neg.f64 y) y) y) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (*.f64 (+.f64 (*.f64 (neg.f64 y) y) y) x) (patch (*.f64 (+.f64 (*.f64 (neg.f64 y) y) y) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (*.f64 (+.f64 (*.f64 (neg.f64 y) y) y) x) (patch (*.f64 (+.f64 (*.f64 (neg.f64 y) 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 (* -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 x #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y))) y) (patch (*.f64 (/.f64 x #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y))) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (*.f64 (/.f64 x #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y))) y) (patch (*.f64 (/.f64 x #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y))) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (*.f64 (/.f64 x #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y))) y) (patch (*.f64 (/.f64 x #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y))) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (*.f64 (/.f64 x #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y))) y) (patch (*.f64 (/.f64 x #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y))) y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (/.f64 x #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y))) (patch (/.f64 x #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (/.f64 x #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y))) (patch (/.f64 x #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (/.f64 x #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y))) (patch (/.f64 x #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (/.f64 x #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y))) (patch (/.f64 x #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y)) (patch #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 y) (#s(alt #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y)) (patch #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ 1 y))) (taylor 0 y) (#s(alt #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y)) (patch #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ 1 (* y (+ 1 y))))) (taylor 0 y) (#s(alt #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y)) (patch #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ -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 y) #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y))) (patch (/.f64 (*.f64 x y) #s(approx (/ -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 x y) #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y))) (patch (/.f64 (*.f64 x y) #s(approx (/ -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 x y) #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y))) (patch (/.f64 (*.f64 x y) #s(approx (/ -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 x y) #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y))) (patch (/.f64 (*.f64 x y) #s(approx (/ -1 (- y 1)) (/.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 (* x y) (taylor 0 y) (#s(alt (/.f64 (*.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) x) #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 (*.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) x) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* x y))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) x) #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 (*.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) x) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* y (- (* y (- x (* -1 x))) (* -1 x))))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) x) #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 (*.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) x) #s(approx (- 1 y) (neg.f64 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 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) x) #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 (*.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) x) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) x) (patch (*.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* x (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) x) (patch (*.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* x (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) x) (patch (*.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* x (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) x) (patch (*.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) x) #<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>) () ())) ())
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#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 (pow y 2)))) (- 1 y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) x) #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 (*.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) x) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (* y (+ 1 (pow y 2)))) (- 1 y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) x) #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 (*.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) x) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (* y (+ 1 (pow y 2)))) (- 1 y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) x) #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 (*.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) x) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (* y (+ 1 (pow y 2)))) (- 1 y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) x) #s(approx (- 1 y) (neg.f64 y))) (patch (/.f64 (*.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) x) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (* y (+ 1 (pow y 2)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) x) (patch (*.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y (+ 1 (pow y 2)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) x) (patch (*.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y (+ 1 (pow y 2)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) x) (patch (*.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y (+ 1 (pow y 2)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) x) (patch (*.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) x) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
30.0ms
y
@inf
((/ (- y 1) (/ -1 (* y x))) (- y 1) (/ -1 (* y x)) (* y x) (+ (* (neg y) y) y) (* (+ (* (neg y) y) y) x) (* (neg y) y) (neg y) (* (/ x (/ -1 (- y 1))) y) (/ x (/ -1 (- y 1))) (/ -1 (- y 1)) (/ -1 y) (/ (* x y) (/ -1 (- y 1))) (* x y) (/ (* (* (+ (* y y) 1) y) x) (- 1 y)) (* (* (+ (* y y) 1) y) x) (* (+ (* y y) 1) y) (+ (* y y) 1) (- 1 y))
3.0ms
x
@inf
((/ (- y 1) (/ -1 (* y x))) (- y 1) (/ -1 (* y x)) (* y x) (+ (* (neg y) y) y) (* (+ (* (neg y) y) y) x) (* (neg y) y) (neg y) (* (/ x (/ -1 (- y 1))) y) (/ x (/ -1 (- y 1))) (/ -1 (- y 1)) (/ -1 y) (/ (* x y) (/ -1 (- y 1))) (* x y) (/ (* (* (+ (* y y) 1) y) x) (- 1 y)) (* (* (+ (* y y) 1) y) x) (* (+ (* y y) 1) y) (+ (* y y) 1) (- 1 y))
2.0ms
x
@-inf
((/ (- y 1) (/ -1 (* y x))) (- y 1) (/ -1 (* y x)) (* y x) (+ (* (neg y) y) y) (* (+ (* (neg y) y) y) x) (* (neg y) y) (neg y) (* (/ x (/ -1 (- y 1))) y) (/ x (/ -1 (- y 1))) (/ -1 (- y 1)) (/ -1 y) (/ (* x y) (/ -1 (- y 1))) (* x y) (/ (* (* (+ (* y y) 1) y) x) (- 1 y)) (* (* (+ (* y y) 1) y) x) (* (+ (* y y) 1) y) (+ (* y y) 1) (- 1 y))
2.0ms
x
@0
((/ (- y 1) (/ -1 (* y x))) (- y 1) (/ -1 (* y x)) (* y x) (+ (* (neg y) y) y) (* (+ (* (neg y) y) y) x) (* (neg y) y) (neg y) (* (/ x (/ -1 (- y 1))) y) (/ x (/ -1 (- y 1))) (/ -1 (- y 1)) (/ -1 y) (/ (* x y) (/ -1 (- y 1))) (* x y) (/ (* (* (+ (* y y) 1) y) x) (- 1 y)) (* (* (+ (* y y) 1) y) x) (* (+ (* y y) 1) y) (+ (* y y) 1) (- 1 y))
2.0ms
y
@-inf
((/ (- y 1) (/ -1 (* y x))) (- y 1) (/ -1 (* y x)) (* y x) (+ (* (neg y) y) y) (* (+ (* (neg y) y) y) x) (* (neg y) y) (neg y) (* (/ x (/ -1 (- y 1))) y) (/ x (/ -1 (- y 1))) (/ -1 (- y 1)) (/ -1 y) (/ (* x y) (/ -1 (- y 1))) (* x y) (/ (* (* (+ (* y y) 1) y) x) (- 1 y)) (* (* (+ (* y y) 1) y) x) (* (+ (* y y) 1) y) (+ (* y y) 1) (- 1 y))

simplify330.0ms (4.6%)

Memory
15.4MiB live, 204.0MiB allocated
Algorithm
1×egg-herbie
Rules
30 884×lower-fma.f64
30 884×lower-fma.f32
4 090×lower-*.f64
4 090×lower-*.f32
1 982×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01302131
14461917
212161885
348891878
083261853
Stop Event
1×iter limit
1×node limit
Counts
348 → 343
Calls
Call 1
Inputs
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
-1
(- y 1)
(- y 1)
(- y 1)
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
y
(* y (+ 1 (* -1 y)))
(* y (+ 1 (* -1 y)))
(* y (+ 1 (* -1 y)))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -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))))
x
(+ x (* -1 (* x y)))
(+ x (* -1 (* x y)))
(+ x (* -1 (* 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 (* -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 (* 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 y)
(* y (+ x (* x (pow y 2))))
(* y (+ x (* x (pow y 2))))
(* y (+ x (* x (pow y 2))))
y
(* y (+ 1 (pow y 2)))
(* y (+ 1 (pow y 2)))
(* y (+ 1 (pow y 2)))
1
(+ 1 (pow y 2))
(+ 1 (pow y 2))
(+ 1 (pow y 2))
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)))
y
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(* x y)
(* x y)
(* x y)
(* 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 (* 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))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -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 (* x y))
(* y (+ (* -1 x) (/ x y)))
(* y (+ (* -1 x) (/ x y)))
(* y (+ (* -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 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)))
(* x y)
(* x y)
(* x y)
(* x 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))))))
(* x (pow y 3))
(* (pow y 3) (+ x (/ x (pow y 2))))
(* (pow y 3) (+ x (/ x (pow y 2))))
(* (pow y 3) (+ x (/ x (pow y 2))))
(pow y 3)
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(pow y 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)
(* 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)))
y
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(* x y)
(* x y)
(* x y)
(* 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 (* 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))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -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 (* x y))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (* y (+ x (* -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)
(* -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) (* -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 (pow y 3))
(* -1 (* (pow y 3) (+ (* -1 x) (* -1 (/ x (pow y 2))))))
(* -1 (* (pow y 3) (+ (* -1 x) (* -1 (/ x (pow y 2))))))
(* -1 (* (pow y 3) (+ (* -1 x) (* -1 (/ x (pow y 2))))))
(pow y 3)
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(* (pow y 3) (+ 1 (/ 1 (pow y 2))))
(pow y 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 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 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 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(* x y)
(* x y)
(* x y)
(* x 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 (* 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)))
(* -1 (* x (* y (- y 1))))
(* -1 (* x (* y (- y 1))))
(* -1 (* x (* y (- y 1))))
(* -1 (* x (* y (- y 1))))
(* 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 (* 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 (* y (- y 1))))
(* -1 (* x (* y (- y 1))))
(* -1 (* x (* y (- y 1))))
(* -1 (* x (* y (- y 1))))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(* x y)
(* x y)
(* x y)
(* x 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 (* 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)))
(* -1 (* x (* y (- y 1))))
(* -1 (* x (* y (- y 1))))
(* -1 (* x (* y (- y 1))))
(* -1 (* x (* y (- y 1))))
(* 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 (* 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 (* y (- y 1))))
(* -1 (* x (* y (- y 1))))
(* -1 (* x (* y (- y 1))))
(* -1 (* x (* y (- y 1))))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(* x y)
(* x y)
(* x y)
(* x 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 (* 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)))
(* -1 (* x (* y (- y 1))))
(* -1 (* x (* y (- y 1))))
(* -1 (* x (* y (- y 1))))
(* -1 (* x (* y (- y 1))))
(* 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 (* y (+ 1 (pow y 2))))
(* x (* y (+ 1 (pow y 2))))
(* x (* y (+ 1 (pow y 2))))
(* x (* y (+ 1 (pow y 2))))
Outputs
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (* x y))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* y (+ x (* -1 (* x y))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* y (+ x (* -1 (* x y))))
(*.f64 (-.f64 x (*.f64 y x)) y)
-1
#s(literal -1 binary64)
(- y 1)
(-.f64 y #s(literal 1 binary64))
(- y 1)
(-.f64 y #s(literal 1 binary64))
(- y 1)
(-.f64 y #s(literal 1 binary64))
(/ -1 (* x y))
(/.f64 #s(literal -1 binary64) (*.f64 y x))
(/ -1 (* x y))
(/.f64 #s(literal -1 binary64) (*.f64 y x))
(/ -1 (* x y))
(/.f64 #s(literal -1 binary64) (*.f64 y x))
(/ -1 (* x y))
(/.f64 #s(literal -1 binary64) (*.f64 y x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
y
(* y (+ 1 (* -1 y)))
(fma.f64 (neg.f64 y) y y)
(* y (+ 1 (* -1 y)))
(fma.f64 (neg.f64 y) y y)
(* y (+ 1 (* -1 y)))
(fma.f64 (neg.f64 y) y y)
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (* x y))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* y (+ x (* -1 (* x y))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* y (+ x (* -1 (* x y))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 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 x (*.f64 y x)) y)
(* y (+ x (* -1 (* x y))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* y (+ x (* -1 (* x y))))
(*.f64 (-.f64 x (*.f64 y x)) y)
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 y)
(+.f64 #s(literal 1 binary64) y)
(+ 1 (* y (+ 1 y)))
(fma.f64 (+.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))
(+ 1 (* y (+ 1 (* y (+ 1 y)))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (+.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 y)
(/.f64 #s(literal -1 binary64) y)
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (* x y))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* y (+ x (* -1 (* x y))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* y (+ x (* -1 (* x y))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* y (+ x (* x y)))
(*.f64 (fma.f64 y x x) y)
(* y (+ x (* y (- (* y (- x (* -1 x))) (* -1 x)))))
(*.f64 (fma.f64 (fma.f64 (+.f64 x x) y x) y x) y)
(* y (+ x (* y (- (* y (- (+ x (* y (- x (* -1 x)))) (* -1 x))) (* -1 x)))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 x x)) y x) y x) y)
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(/.f64 #s(literal -1 binary64) (*.f64 y x))
(/ -1 (* x y))
(/.f64 #s(literal -1 binary64) (*.f64 y x))
(/ -1 (* x y))
(/.f64 #s(literal -1 binary64) (*.f64 y x))
(/ -1 (* x y))
(/.f64 #s(literal -1 binary64) (*.f64 y x))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x (+ y (* -1 (pow y 2))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* x (+ y (* -1 (pow y 2))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* x (+ y (* -1 (pow y 2))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* x (+ y (* -1 (pow y 2))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* -1 (* x (* y (- y 1))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* -1 (* x (* y (- y 1))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* -1 (* x (* y (- y 1))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* -1 (* x (* y (- y 1))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* -1 (* x (- y 1)))
(-.f64 x (*.f64 y x))
(* -1 (* x (- y 1)))
(-.f64 x (*.f64 y x))
(* -1 (* x (- y 1)))
(-.f64 x (*.f64 y x))
(* -1 (* x (- y 1)))
(-.f64 x (*.f64 y x))
(* -1 (* x (* y (- y 1))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* -1 (* x (* y (- y 1))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* -1 (* x (* y (- y 1))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* -1 (* x (* y (- y 1))))
(*.f64 (-.f64 x (*.f64 y x)) y)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(* x (* y (+ 1 (pow y 2))))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x)
(* x (* y (+ 1 (pow y 2))))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x)
(* x (* y (+ 1 (pow y 2))))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x)
(* x (* y (+ 1 (pow y 2))))
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x)

rewrite245.0ms (3.4%)

Memory
-25.0MiB live, 293.8MiB allocated
Rules
7 640×lower-fma.f64
7 640×lower-fma.f32
4 360×lower-*.f32
4 344×lower-*.f64
3 978×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029151
046152
1161149
2927147
09447140
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
19 → 1 342
Calls
Call 1
Inputs
(/.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 y x)))
(-.f64 y #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 y x))
(*.f64 y x)
(+.f64 (*.f64 (neg.f64 y) y) y)
(*.f64 (+.f64 (*.f64 (neg.f64 y) y) y) x)
(*.f64 (neg.f64 y) y)
(neg.f64 y)
(*.f64 (/.f64 x #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y))) y)
(/.f64 x #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y)))
#s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) y)
(/.f64 (*.f64 x y) #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y)))
(*.f64 x y)
(/.f64 (*.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) x) #s(approx (- 1 y) (neg.f64 y)))
(*.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) x)
(*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y)
#s(approx (+ (* y y) 1) (*.f64 y y))
#s(approx (- 1 y) (neg.f64 y))
Outputs
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y y)) x) (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (*.f64 (*.f64 y y) y))) (*.f64 y (fma.f64 (*.f64 y y) y (fma.f64 y y y))))
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y y)) x) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y y))) (fma.f64 y y y))
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (*.f64 (*.f64 y y) y)) x) (*.f64 (*.f64 y (fma.f64 (*.f64 y y) y (fma.f64 y y y))) (*.f64 y (fma.f64 (*.f64 y y) y (fma.f64 y y y))))) (*.f64 y (fma.f64 (*.f64 y y) y (fma.f64 y y y))))
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (*.f64 (*.f64 y y) y)) x) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) y) (*.f64 (*.f64 (*.f64 y y) y) y)) (*.f64 y y) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (fma.f64 y y #s(literal 1 binary64))) (*.f64 y (fma.f64 y y y))))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y (fma.f64 y y y)) (-.f64 (*.f64 y (fma.f64 y y y)) (*.f64 (*.f64 (*.f64 y y) y) y)))))
(*.f64 (/.f64 (*.f64 x (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y y))) (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (*.f64 (*.f64 y y) y))) (*.f64 y (fma.f64 (*.f64 y y) y (fma.f64 y y y))))
(*.f64 (/.f64 (*.f64 x (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y y))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y y))) (fma.f64 y y y))
(*.f64 (/.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (*.f64 (*.f64 y y) y))) (*.f64 (*.f64 y (fma.f64 (*.f64 y y) y (fma.f64 y y y))) (*.f64 y (fma.f64 (*.f64 y y) y (fma.f64 y y y))))) (*.f64 y (fma.f64 (*.f64 y y) y (fma.f64 y y y))))
(*.f64 (/.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (*.f64 (*.f64 y y) y))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) y) (*.f64 (*.f64 (*.f64 y y) y) y)) (*.f64 y y) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (fma.f64 y y #s(literal 1 binary64))) (*.f64 y (fma.f64 y y y))))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y (fma.f64 y y y)) (-.f64 (*.f64 y (fma.f64 y y y)) (*.f64 (*.f64 (*.f64 y y) y) y)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x)) y)
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (neg.f64 y)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (neg.f64 y)) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (neg.f64 y)) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (neg.f64 y)) (fma.f64 y y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal -1 binary64)) x) (neg.f64 y)) (fma.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal -1 binary64)) x) (neg.f64 y)) (fma.f64 (*.f64 (*.f64 y y) y) y (fma.f64 y y #s(literal -1 binary64)))) (fma.f64 y y (-.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal -1 binary64)) x) (neg.f64 y)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y y)) (fma.f64 y y y)))) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y y) (fma.f64 y y (-.f64 y #s(literal 1 binary64))))))
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal -1 binary64)) x) (neg.f64 y)) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) y (*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y y #s(literal 1 binary64))))) (-.f64 (fma.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64)) (*.f64 y (fma.f64 y y y))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) y)
(*.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x)) y)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) y)) x)
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) y)
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) y)
(*.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x))
(*.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) x)
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y y y) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y y y) x)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y)) (/.f64 #s(literal -1 binary64) y)) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y)) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) y)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 x y))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 x y))))
(*.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(*.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 x y))))
(*.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(*.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 x y))))
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (fma.f64 (*.f64 y y) y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 y y) y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 x y))))
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 x y))))
(*.f64 (/.f64 (fma.f64 (*.f64 y y) y #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(*.f64 (/.f64 (fma.f64 (*.f64 y y) y #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 x y))))
(*.f64 (/.f64 (fma.f64 (*.f64 y y) y #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(*.f64 (/.f64 (fma.f64 (*.f64 y y) y #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 x y))))
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) (*.f64 x #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) (neg.f64 x))
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) x)
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 x y))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (*.f64 y y) y #s(literal -1 binary64)) (*.f64 x y))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))))
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) (neg.f64 y))
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) y)
(*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (neg.f64 y)) (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal -1 binary64)) x) (neg.f64 y)) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))))
(*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y y)) x) (/.f64 #s(literal -1 binary64) (fma.f64 y y y)))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (*.f64 (*.f64 y y) y)) x) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 (*.f64 y y) y (fma.f64 y y y)))))
(*.f64 (*.f64 x (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 y y))) (/.f64 #s(literal -1 binary64) (fma.f64 y y y)))
(*.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (*.f64 (*.f64 y y) y))) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 (*.f64 y y) y (fma.f64 y y y)))))
(*.f64 (*.f64 (*.f64 (fma.f64 y y y) x) (*.f64 (fma.f64 y y y) x)) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y y y) x)))
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eval251.0ms (3.5%)

Memory
51.0MiB live, 418.1MiB allocated
Compiler

Compiled 27 849 to 2 275 computations (91.8% saved)

prune557.0ms (7.8%)

Memory
-10.2MiB live, 371.9MiB allocated
Pruning

11 alts after pruning (2 fresh and 9 done)

PrunedKeptTotal
New1 77021 772
Fresh000
Picked145
Done156
Total1 772111 783
Accuracy
100.0%
Counts
1 783 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓86.0%
(fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x))
✓99.2%
(/.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 y x)))
✓50.7%
(/.f64 (*.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) x) #s(approx (- 1 y) (neg.f64 y)))
✓62.6%
(/.f64 (*.f64 x y) #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y)))
62.6%
(/.f64 y (/.f64 #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y)) x))
✓62.6%
(*.f64 (/.f64 x #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y))) y)
92.6%
(*.f64 (-.f64 y (*.f64 y y)) x)
✓99.9%
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
✓55.4%
(*.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) y) x)
✓62.6%
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
✓53.1%
#s(approx (* (* x y) (- 1 y)) (*.f64 y x))
Compiler

Compiled 341 to 123 computations (63.9% saved)

regimes25.0ms (0.4%)

Memory
-24.6MiB live, 51.5MiB allocated
Counts
23 → 1
Calls
Call 1
Inputs
#s(approx (* (* x y) (- 1 y)) (*.f64 y x))
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x))
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
(*.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) y) x)
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x))
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(*.f64 (-.f64 y (*.f64 y y)) x)
(*.f64 (+.f64 (*.f64 (neg.f64 y) y) y) x)
(fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x))
(*.f64 (/.f64 x #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y))) y)
(/.f64 (*.f64 x y) #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (*.f64 (*.f64 #s(approx (+ (* y y) 1) (*.f64 y y)) y) x) #s(approx (- 1 y) (neg.f64 y)))
(/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) #s(approx (- 1 y) (neg.f64 y)))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)))) y)
(/.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) (-.f64 #s(literal 1 binary64) y))
(/.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 y x)))
(/.f64 y (/.f64 #s(approx (/ -1 (- y 1)) (/.f64 #s(literal -1 binary64) y)) x))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))
(fma.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x) (/.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 y) (fma.f64 x y x))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) y) y) (*.f64 (neg.f64 y) (fma.f64 x y x)))))
Outputs
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
Calls

3 calls:

10.0ms
x
7.0ms
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
7.0ms
y
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory
19.4MiB live, 19.4MiB 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)
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) 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:

3.0ms
x
3.0ms
y
2.0ms
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory
-20.9MiB live, 17.6MiB allocated
Counts
5 → 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)
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x))
Outputs
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x))
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
Calls

3 calls:

5.0ms
x
2.0ms
y
2.0ms
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Results
AccuracySegmentsBranch
96.3%2x
99.9%3y
96.5%2(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes2.0ms (0%)

Memory
5.9MiB live, 5.9MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (* (* x y) (- 1 y)) (*.f64 y x))
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x))
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
(*.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) y) x)
Outputs
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
#s(approx (* (* x y) (- 1 y)) (*.f64 y x))
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
Calls

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
98.3%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory
12.5MiB live, 12.5MiB 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

3 calls:

2.0ms
x
1.0ms
y
1.0ms
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Results
AccuracySegmentsBranch
63.1%2x
78.0%2(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
91.0%3y
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory
10.8MiB live, 10.8MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

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

Compiled 15 to 10 computations (33.3% saved)

bsearch22.0ms (0.3%)

Memory
-5.2MiB live, 38.9MiB allocated
Algorithm
2×binary-search
Stop Event
1×predicate-same
1×predicate-same
Steps
TimeLeftRight
9.0ms
187561227911.68756
1.109315968060192e+19
11.0ms
-3.624153492915785e+60
-6.150047618058143e+58
Samples
12.0ms224×0valid
Compiler

Compiled 306 to 193 computations (36.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 7.0ms (87.4% of total)
ival-sub: 1.0ms (12.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch26.0ms (0.4%)

Memory
1.3MiB live, 39.5MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
8.0ms
0.7003580823929396
85.36910860856587
16.0ms
-1164762192.437463
-8.444911387713353e-5
Samples
10.0ms272×0valid
Compiler

Compiled 301 to 181 computations (39.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 4.0ms (78% of total)
ival-sub: 1.0ms (19.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
0.0ms
0.7003580823929396
85.36910860856587
1.0ms
-1164762192.437463
-8.444911387713353e-5
Compiler

Compiled 301 to 181 computations (39.9% saved)

simplify35.0ms (0.5%)

Memory
-25.4MiB live, 12.6MiB allocated
Algorithm
1×egg-herbie
Rules
28×*-commutative_binary64
10×+-commutative_binary64
10×sub-neg_binary64
10×neg-sub0_binary64
10×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035154
152154
261154
371154
476154
579154
680154
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.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 -150000000000000001328368373973352086658834060711356113354752 binary64)) (*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (if (<=.f64 y #s(literal 2000000000000000000 binary64)) #s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)) (*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 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 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
(if (<=.f64 y #s(literal -150000000000000001328368373973352086658834060711356113354752 binary64)) (*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (if (<=.f64 y #s(literal 2000000000000000000 binary64)) #s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)) (*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))))
(if (<=.f64 y #s(literal -150000000000000001328368373973352086658834060711356113354752 binary64)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (*.f64 x y)) (if (<=.f64 y #s(literal 2000000000000000000 binary64)) #s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (*.f64 x 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))

soundness775.0ms (10.9%)

Memory
-4.3MiB live, 241.2MiB allocated
Rules
4 438×lower-*.f64
4 438×lower-*.f32
4 316×lower-fma.f64
4 316×lower-fma.f32
4 216×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
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 150 to 57 computations (62% saved)

preprocess47.0ms (0.7%)

Memory
9.1MiB live, 84.1MiB allocated
Remove

(negabs x)

Compiler

Compiled 478 to 186 computations (61.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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