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

Time bar (total: 5.2s)

start0.0ms (0%)

Memory
0.1MiB live, 0.0MiB allocated

analyze0.0ms (0%)

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

Compiled 9 to 8 computations (11.1% saved)

sample612.0ms (11.8%)

Memory
23.7MiB live, 1 176.4MiB allocated
Samples
366.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 195.0ms
ival-mult: 131.0ms (67.2% of total)
ival-sub: 50.0ms (25.7% of total)
ival-true: 6.0ms (3.1% of total)
exact: 5.0ms (2.6% of total)
ival-assert: 3.0ms (1.5% of total)
Bogosity

explain55.0ms (1.1%)

Memory
5.3MiB live, 126.0MiB 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
23.0ms512×0valid
Compiler

Compiled 43 to 22 computations (48.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 6.0ms (58.4% of total)
ival-sub: 3.0ms (29.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess55.0ms (1.1%)

Memory
6.0MiB live, 45.1MiB allocated
Algorithm
1×egg-herbie
Rules
678×unsub-neg
464×lower-fma.f64
464×lower-fma.f32
424×distribute-lft-in
290×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

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

(negabs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify20.0ms (0.4%)

Memory
-21.1MiB live, 17.8MiB 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)

localize19.0ms (0.4%)

Memory
-0.2MiB live, 37.2MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 #s(literal 1 binary64) y)
accuracy0
(*.f64 x y)
accuracy0.0703125
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Samples
14.0ms256×0valid
Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 6.0ms (78.9% of total)
ival-sub: 1.0ms (13.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
18.0MiB live, 18.0MiB allocated
Counts
3 → 60
Calls
Call 1
Inputs
#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())
Outputs
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (pow y 2))) (taylor inf y) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (pow y 2))) (taylor -inf y) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor -inf y) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor -inf y) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor -inf y) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor 0 x) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor 0 x) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor 0 x) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor 0 x) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
Calls

6 calls:

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

simplify148.0ms (2.9%)

Memory
10.3MiB live, 127.5MiB 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)

rewrite160.0ms (3.1%)

Memory
-3.0MiB live, 275.3MiB allocated
Rules
4 316×lower-fma.f64
4 316×lower-fma.f32
3 996×lower-/.f64
3 996×lower-/.f32
3 530×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
0913
13013
216513
3134313
0956212
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
3 → 425
Calls
Call 1
Inputs
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
(*.f64 x y)
(-.f64 #s(literal 1 binary64) y)
Outputs
(*.f64 (/.f64 (*.f64 y x) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (fma.f64 y y #s(literal 1 binary64)))) (/.f64 y (-.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 y (-.f64 #s(literal -1 binary64) (fma.f64 y y y))))
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) #s(literal 1 binary64)) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 y (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 y (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 y y y)))))
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y y))
(*.f64 (/.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (fma.f64 y y #s(literal 1 binary64)))) (/.f64 x (-.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 x (-.f64 #s(literal -1 binary64) (fma.f64 y y y))))
(*.f64 (/.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)))) (/.f64 y (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 y y y)))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 y (pow.f64 (fma.f64 (fma.f64 y y y) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 y x) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))))) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 y x) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 9 binary64))))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 y x) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 y x) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))))) (pow.f64 (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 y x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (*.f64 y x) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (fma.f64 y y #s(literal 1 binary64)))) (-.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (*.f64 y x) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))))
(*.f64 (/.f64 (*.f64 y x) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 y y y)))))
(*.f64 (/.f64 (*.f64 y x) (fma.f64 y y #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 y (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))))) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 (/.f64 y (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 9 binary64))))) (/.f64 x (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 (/.f64 y (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (/.f64 x (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (/.f64 y (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))))) (/.f64 x (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 y x) (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 y y y) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 y (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 y y y) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 y (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (fma.f64 y y #s(literal 1 binary64)))) (/.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 y (/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))))
(*.f64 (/.f64 y (/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(*.f64 (/.f64 y #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (*.f64 y x) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(*.f64 (/.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (fma.f64 y y #s(literal 1 binary64)))) (/.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 x (/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))))
(*.f64 (/.f64 x (/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(*.f64 (/.f64 x (fma.f64 y y #s(literal 1 binary64))) (/.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)))) (/.f64 (+.f64 y (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 y y y)))))
(*.f64 (/.f64 x (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (+.f64 y (pow.f64 y #s(literal 4 binary64))) (pow.f64 (fma.f64 (fma.f64 y y y) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (fma.f64 y y #s(literal 1 binary64)))) (/.f64 (*.f64 y x) (-.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (*.f64 y x) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))))
(*.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (*.f64 y x) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(*.f64 (/.f64 x #s(literal 1 binary64)) (fma.f64 y y y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 y y y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))))) (/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 9 binary64))))) (/.f64 (*.f64 y x) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (/.f64 (*.f64 y x) (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))))) (/.f64 (*.f64 y x) (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 x (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))))) (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 (/.f64 x (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 9 binary64))))) (/.f64 y (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (/.f64 y (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))))) (/.f64 y (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (-.f64 y (pow.f64 y #s(literal 3 binary64))))
(*.f64 (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (+.f64 y (pow.f64 y #s(literal 4 binary64))))
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 y y y)))))
(*.f64 (/.f64 y (fma.f64 y y #s(literal 1 binary64))) (/.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))))
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(*.f64 (/.f64 y (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 (/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y)) (fma.f64 y y #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 y x) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) (*.f64 x (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 y y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (*.f64 (+.f64 y (pow.f64 y #s(literal 4 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (+.f64 y (pow.f64 y #s(literal 4 binary64))) x) (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 y y y) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 y y y)))))
(*.f64 (/.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
(*.f64 (/.f64 (+.f64 y (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)))) (/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 y y y)))))
(*.f64 (/.f64 (+.f64 y (pow.f64 y #s(literal 4 binary64))) (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 x (pow.f64 (fma.f64 (fma.f64 y y y) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)))) (/.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 y y y)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 y x) (pow.f64 (fma.f64 (fma.f64 y y y) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
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(fma.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (fma.f64 y y y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 y y y)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 y) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64))
(fma.f64 (*.f64 (neg.f64 y) y) (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 y y y) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 y y y)))))
(fma.f64 (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (fma.f64 y y y) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) #s(literal 1 binary64)))) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (-.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 y y))) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (-.f64 #s(literal -1 binary64) (fma.f64 y y y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y))) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (neg.f64 y) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 y y y)))))
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 y y y)))))
(fma.f64 #s(literal 1 binary64) (neg.f64 y) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) y #s(literal 1 binary64))
(fma.f64 y #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 y #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y y #s(literal 1 binary64)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y y #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)))
(-.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -2 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))) (/.f64 (pow.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))))
(-.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))))) (/.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))))))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -2 binary64)) (+.f64 (pow.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))))) (/.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -2 binary64)) (+.f64 (pow.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))))))
(-.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -3 binary64)) (+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))))))) (/.f64 (*.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))))))))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))))
(-.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (pow.f64 y #s(literal 9 binary64)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))) (-.f64 #s(literal -1 binary64) y))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(-.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal -1 binary64) y)) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal -1 binary64) y))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))
(-.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y))
(-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 y))
(-.f64 #s(literal 1 binary64) y)
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(+.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 y y y)))))
(+.f64 (neg.f64 y) #s(literal 1 binary64))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) (neg.f64 y))
(+.f64 #s(literal 1 binary64) y)
(+.f64 y #s(literal 1 binary64))

eval59.0ms (1.1%)

Memory
-15.0MiB live, 137.3MiB allocated
Compiler

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

prune11.0ms (0.2%)

Memory
1.0MiB live, 39.8MiB allocated
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New4796485
Fresh000
Picked011
Done000
Total4797486
Accuracy
100.0%
Counts
486 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶90.0%
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y))
99.9%
(/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
▶99.9%
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
✓99.9%
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
▶60.3%
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
▶53.7%
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x))
▶58.8%
#s(approx (* (* x y) (- 1 y)) (*.f64 y x))
Compiler

Compiled 101 to 84 computations (16.8% saved)

simplify165.0ms (3.2%)

Memory
2.5MiB live, 276.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y x)
cost-diff0
(*.f64 y y)
cost-diff128
(+.f64 #s(literal -1 binary64) (*.f64 y y))
cost-diff7040
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y))
cost-diff0
(neg.f64 y)
cost-diff0
#s(approx (- 1 y) (neg.f64 y))
cost-diff0
(*.f64 x y)
cost-diff0
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 (neg.f64 y) y)
cost-diff0
(*.f64 (*.f64 (neg.f64 y) y) x)
cost-diff0
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x))
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
16 918×lower-fma.f64
16 918×lower-fma.f32
2 850×lower--.f32
2 846×lower--.f64
2 496×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024124
038118
167118
2139118
3274116
4725116
52747116
64958116
08129115
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x
#s(approx (* (* x y) (- 1 y)) (*.f64 y x))
(*.f64 y x)
y
x
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x))
(*.f64 (*.f64 (neg.f64 y) y) x)
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
x
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
(*.f64 x y)
x
y
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x))
(+.f64 #s(literal -1 binary64) (*.f64 y y))
#s(literal -1 binary64)
(*.f64 y y)
y
(*.f64 y x)
x
(-.f64 #s(literal -1 binary64) y)
Outputs
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(-.f64 x (*.f64 x 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
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x))
#s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 y) (*.f64 x y)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(*.f64 (neg.f64 y) (*.f64 x y))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
x
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
(*.f64 #s(approx (- 1 y) (neg.f64 y)) (*.f64 x y))
(*.f64 x y)
x
y
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y))
(*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) y) x)
(+.f64 #s(literal -1 binary64) (*.f64 y y))
(fma.f64 y y #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 y y)
y
(*.f64 y x)
(*.f64 x y)
x
(-.f64 #s(literal -1 binary64) y)

localize49.0ms (0.9%)

Memory
21.0MiB live, 97.2MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 y y)
accuracy0
(*.f64 y x)
accuracy1.209269117943328
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x))
accuracy5.207828996983805
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y))
accuracy0
(*.f64 x y)
accuracy0
(neg.f64 y)
accuracy0.0703125
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
accuracy32.96906772302193
#s(approx (- 1 y) (neg.f64 y))
accuracy0
(*.f64 (neg.f64 y) y)
accuracy0
(neg.f64 y)
accuracy8.550380927501385
(*.f64 (*.f64 (neg.f64 y) y) x)
accuracy25.338099866533977
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x))
accuracy0
(*.f64 y x)
accuracy26.365218838170055
#s(approx (* (* x y) (- 1 y)) (*.f64 y x))
accuracy0
(-.f64 #s(literal 1 binary64) y)
accuracy0.0078125
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
accuracy0.06640625
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
Samples
35.0ms256×0valid
Compiler

Compiled 109 to 20 computations (81.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 13.0ms (57.2% of total)
ival-sub: 4.0ms (17.6% of total)
ival-neg: 3.0ms (13.2% of total)
ival-div: 2.0ms (8.8% of total)
ival-add: 1.0ms (4.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series39.0ms (0.7%)

Memory
-35.4MiB live, 58.6MiB allocated
Counts
16 → 312
Calls
Call 1
Inputs
#s(alt (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) (patch (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())
#s(alt #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) (patch #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) #<representation binary64>) () ())
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())
#s(alt #s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) (patch #s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (neg.f64 y) y) x) (patch (*.f64 (*.f64 (neg.f64 y) y) x) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<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 (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal -1 binary64) (*.f64 y y)) (patch (+.f64 #s(literal -1 binary64) (*.f64 y y)) #<representation binary64>) () ())
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x)) (patch (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x)) #<representation binary64>) () ())
Outputs
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) (patch (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) (patch (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) (patch (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) (patch (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) (patch #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) (patch #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) (patch #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) (patch #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt #s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) (patch #s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt #s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) (patch #s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt #s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) (patch #s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt #s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) (patch #s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (neg.f64 y) y) x) (patch (*.f64 (*.f64 (neg.f64 y) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (neg.f64 y) y) x) (patch (*.f64 (*.f64 (neg.f64 y) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (neg.f64 y) y) x) (patch (*.f64 (*.f64 (neg.f64 y) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (pow y 2))) (taylor 0 y) (#s(alt (*.f64 (*.f64 (neg.f64 y) y) x) (patch (*.f64 (*.f64 (neg.f64 y) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* -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 y) #s(approx (- 1 y) (neg.f64 y))) (patch (*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (patch (*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (patch (*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (patch (*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 y) (#s(alt (+.f64 #s(literal -1 binary64) (*.f64 y y)) (patch (+.f64 #s(literal -1 binary64) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (- (pow y 2) 1) (taylor 0 y) (#s(alt (+.f64 #s(literal -1 binary64) (*.f64 y y)) (patch (+.f64 #s(literal -1 binary64) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (- (pow y 2) 1) (taylor 0 y) (#s(alt (+.f64 #s(literal -1 binary64) (*.f64 y y)) (patch (+.f64 #s(literal -1 binary64) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (- (pow y 2) 1) (taylor 0 y) (#s(alt (+.f64 #s(literal -1 binary64) (*.f64 y y)) (patch (+.f64 #s(literal -1 binary64) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x)) (patch (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 x) (* x (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x)) (patch (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 x) (* x (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x)) (patch (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 x) (* x (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x)) (patch (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (pow y 2))) (taylor inf y) (#s(alt (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) (patch (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) (patch (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) (patch (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) (patch (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (pow y 2))) (taylor inf y) (#s(alt #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) (patch #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) (patch #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) (patch #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) (patch #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (pow y 2))) (taylor inf y) (#s(alt #s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) (patch #s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt #s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) (patch #s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) #<representation binary64>) () ())) ())
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#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) (patch #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) (patch #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) #<representation binary64>) () ())) ())
#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 #s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) (patch #s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt #s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) (patch #s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt #s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) (patch #s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt #s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) (patch #s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 y) y) x) (patch (*.f64 (*.f64 (neg.f64 y) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 y) y) x) (patch (*.f64 (*.f64 (neg.f64 y) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 y) y) x) (patch (*.f64 (*.f64 (neg.f64 y) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (pow y 2))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (neg.f64 y) y) x) (patch (*.f64 (*.f64 (neg.f64 y) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (*.f64 (*.f64 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 (* y (- (pow y 2) 1))) (+ 1 y))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- (pow y 2) 1))) (taylor -inf x) (#s(alt (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x)) (patch (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- (pow y 2) 1))) (taylor -inf x) (#s(alt (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x)) (patch (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- (pow y 2) 1))) (taylor -inf x) (#s(alt (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x)) (patch (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- (pow y 2) 1))) (taylor -inf x) (#s(alt (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x)) (patch (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
12.0ms
x
@0
((* (* (- 1 y) x) y) (* (- 1 y) x) (- 1 y) (* (* x y) (- 1 y)) (* y x) (* (* x y) (- 1 y)) (* (* (neg y) y) x) (* (neg y) y) (neg y) (* (* x y) (- 1 y)) (* x y) (- 1 y) (/ (* (+ -1 (* y y)) (* y x)) (- -1 y)) (+ -1 (* y y)) (* y y) (* (+ -1 (* y y)) (* y x)))
8.0ms
y
@-inf
((* (* (- 1 y) x) y) (* (- 1 y) x) (- 1 y) (* (* x y) (- 1 y)) (* y x) (* (* x y) (- 1 y)) (* (* (neg y) y) x) (* (neg y) y) (neg y) (* (* x y) (- 1 y)) (* x y) (- 1 y) (/ (* (+ -1 (* y y)) (* y x)) (- -1 y)) (+ -1 (* y y)) (* y y) (* (+ -1 (* y y)) (* y x)))
4.0ms
y
@inf
((* (* (- 1 y) x) y) (* (- 1 y) x) (- 1 y) (* (* x y) (- 1 y)) (* y x) (* (* x y) (- 1 y)) (* (* (neg y) y) x) (* (neg y) y) (neg y) (* (* x y) (- 1 y)) (* x y) (- 1 y) (/ (* (+ -1 (* y y)) (* y x)) (- -1 y)) (+ -1 (* y y)) (* y y) (* (+ -1 (* y y)) (* y x)))
3.0ms
x
@inf
((* (* (- 1 y) x) y) (* (- 1 y) x) (- 1 y) (* (* x y) (- 1 y)) (* y x) (* (* x y) (- 1 y)) (* (* (neg y) y) x) (* (neg y) y) (neg y) (* (* x y) (- 1 y)) (* x y) (- 1 y) (/ (* (+ -1 (* y y)) (* y x)) (- -1 y)) (+ -1 (* y y)) (* y y) (* (+ -1 (* y y)) (* y x)))
2.0ms
x
@-inf
((* (* (- 1 y) x) y) (* (- 1 y) x) (- 1 y) (* (* x y) (- 1 y)) (* y x) (* (* x y) (- 1 y)) (* (* (neg y) y) x) (* (neg y) y) (neg y) (* (* x y) (- 1 y)) (* x y) (- 1 y) (/ (* (+ -1 (* y y)) (* y x)) (- -1 y)) (+ -1 (* y y)) (* y y) (* (+ -1 (* y y)) (* y x)))

simplify138.0ms (2.6%)

Memory
6.3MiB live, 201.1MiB allocated
Algorithm
1×egg-herbie
Rules
12 100×lower-fma.f64
12 100×lower-fma.f32
3 640×lower-*.f64
3 640×lower-*.f32
1 498×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0551786
11671618
24671597
310781597
434621597
563711597
081441588
Stop Event
1×iter limit
1×node limit
Counts
312 → 311
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))))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 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)
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
-1
(- (pow y 2) 1)
(- (pow y 2) 1)
(- (pow y 2) 1)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* -1 (* x y))
(* y (+ (* -1 x) (* x (pow y 2))))
(* y (+ (* -1 x) (* x (pow y 2))))
(* y (+ (* -1 x) (* x (pow y 2))))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* -1 (* 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)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 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 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)))
(pow y 2)
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* x (pow y 3))
(* (pow y 3) (+ x (* -1 (/ x (pow y 2)))))
(* (pow y 3) (+ x (* -1 (/ x (pow y 2)))))
(* (pow y 3) (+ x (* -1 (/ x (pow y 2)))))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* -1 (* 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)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 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 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)))
(pow y 2)
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* x (pow y 3))
(* -1 (* (pow y 3) (+ (* -1 x) (/ x (pow y 2)))))
(* -1 (* (pow y 3) (+ (* -1 x) (/ x (pow y 2)))))
(* -1 (* (pow y 3) (+ (* -1 x) (/ x (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)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y)))
(* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y)))
(* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y)))
(* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y)))
(* x (* y (- (pow y 2) 1)))
(* x (* y (- (pow y 2) 1)))
(* x (* y (- (pow y 2) 1)))
(* x (* y (- (pow y 2) 1)))
(* 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)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y)))
(* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y)))
(* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y)))
(* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y)))
(* x (* y (- (pow y 2) 1)))
(* x (* y (- (pow y 2) 1)))
(* x (* y (- (pow y 2) 1)))
(* x (* y (- (pow y 2) 1)))
(* 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)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y)))
(* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y)))
(* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y)))
(* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y)))
(* x (* y (- (pow y 2) 1)))
(* x (* y (- (pow y 2) 1)))
(* x (* y (- (pow y 2) 1)))
(* x (* y (- (pow y 2) 1)))
Outputs
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (* x y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* y (+ x (* -1 (* x y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* y (+ x (* -1 (* x y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
x
(+ x (* -1 (* x y)))
(-.f64 x (*.f64 y x))
(+ x (* -1 (* x y)))
(-.f64 x (*.f64 y x))
(+ x (* -1 (* x y)))
(-.f64 x (*.f64 y x))
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (* x y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* y (+ x (* -1 (* x y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* y (+ x (* -1 (* x y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (* x y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* y (+ x (* -1 (* x y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* y (+ x (* -1 (* x y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* x y)
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(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x (* y (- (pow y 2) 1)))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) y) x)
(* x (* y (- (pow y 2) 1)))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) y) x)
(* x (* y (- (pow y 2) 1)))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) y) x)
(* x (* y (- (pow y 2) 1)))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) y) x)

rewrite159.0ms (3.1%)

Memory
24.2MiB live, 217.8MiB allocated
Rules
3 328×lower-fma.f64
3 328×lower-fma.f32
3 252×lower-*.f32
3 236×lower-*.f64
2 324×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024104
03899
110799
256898
3597090
0970984
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
16 → 1 161
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)
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x))
(*.f64 (*.f64 (neg.f64 y) y) x)
(*.f64 (neg.f64 y) y)
(neg.f64 y)
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
(*.f64 x y)
#s(approx (- 1 y) (neg.f64 y))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y))
(+.f64 #s(literal -1 binary64) (*.f64 y y))
(*.f64 y y)
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x))
Outputs
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (fma.f64 y y y)) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (fma.f64 y y y)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 y y #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))) x) (/.f64 y (-.f64 y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 4 binary64)))) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))) x) (/.f64 y (-.f64 y #s(literal -1 binary64)))) (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 6 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (+.f64 y (pow.f64 y #s(literal 4 binary64))) x) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))) (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (+.f64 y (pow.f64 y #s(literal 4 binary64))) x) (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 y y y) (-.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (*.f64 x y) (pow.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64))) (*.f64 (fma.f64 x y x) y))
(*.f64 (*.f64 (*.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) x) (-.f64 y #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) y))
(*.f64 (*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (*.f64 (fma.f64 y y #s(literal -1 binary64)) x)) y)
(*.f64 (*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) y)) x)
(*.f64 (*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) y) (*.f64 (fma.f64 y y #s(literal -1 binary64)) x))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) (/.f64 x (fma.f64 y y #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) y))
(*.f64 (*.f64 (fma.f64 x y x) #s(literal 1 binary64)) y)
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) (/.f64 x (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (fma.f64 x y x) y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (fma.f64 x y x) y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) x) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) #s(literal -1 binary64)) (/.f64 y (-.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 x #s(literal -1 binary64)) (fma.f64 y y y))
(*.f64 (/.f64 y #s(literal -1 binary64)) (fma.f64 x y x))
(*.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) x))
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) x))
(*.f64 (/.f64 (*.f64 x y) #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 x y) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (fma.f64 y y #s(literal 1 binary64))) (/.f64 y (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 y (pow.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) (fma.f64 y y #s(literal 1 binary64))) (/.f64 (neg.f64 x) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) (fma.f64 y y #s(literal 1 binary64))) (/.f64 x (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (neg.f64 x) (pow.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 x (pow.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal 1 binary64))) (*.f64 (fma.f64 x y x) y))
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (*.f64 x y) (pow.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) x) (pow.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 x (fma.f64 y y #s(literal 1 binary64))) (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))))
(*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) (pow.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 y (fma.f64 y y #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))))
(*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (pow.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) y))
(*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (fma.f64 y y y)) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) (/.f64 x (fma.f64 y y #s(literal 1 binary64)))) (-.f64 y #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) (/.f64 x (fma.f64 y y #s(literal 1 binary64)))) (-.f64 #s(literal -1 binary64) y))
(*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) (/.f64 x (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))) (pow.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) (/.f64 x (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y))
(*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) (/.f64 x (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64)))
(*.f64 (*.f64 x (/.f64 y (fma.f64 y y #s(literal 1 binary64)))) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))))
(*.f64 (*.f64 x (/.f64 y (fma.f64 y y #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) y) (fma.f64 y y #s(literal -1 binary64))))
(*.f64 (*.f64 x (/.f64 y (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(*.f64 (*.f64 x (/.f64 y (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (*.f64 x (/.f64 y (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (fma.f64 y y y)))
(*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) (*.f64 x (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64)))))
(*.f64 (*.f64 (+.f64 y (pow.f64 y #s(literal 4 binary64))) x) (pow.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))) x) (/.f64 y (-.f64 y #s(literal -1 binary64)))) (pow.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (/.f64 y (-.f64 y #s(literal -1 binary64))))
(*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (pow.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) x))
(*.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) x) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))))
(*.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) x))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (*.f64 x y) (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x y)))
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) y) (pow.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))) x) y) (pow.f64 (*.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) x) (fma.f64 y y #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) (/.f64 x (-.f64 y #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) (*.f64 x (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) (*.f64 (neg.f64 x) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) (/.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) y)))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) (/.f64 x (-.f64 #s(literal -1 binary64) y)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 x y)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) x))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) x) (fma.f64 y y #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 x y) (*.f64 (-.f64 #s(literal -1 binary64) y) (fma.f64 y y #s(literal -1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) x)))
(*.f64 (fma.f64 y y y) x)
(*.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) (/.f64 x (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))))
(*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 (*.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) x) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 (*.f64 x y) (*.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y))))
(*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (pow.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) x)))
(*.f64 (-.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) x)))
(*.f64 (-.f64 y #s(literal -1 binary64)) (*.f64 x y))
(*.f64 (*.f64 (fma.f64 x y x) y) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) (/.f64 x (fma.f64 y y #s(literal 1 binary64)))))
(*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) x) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) x) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) x))
(*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x y x) y))
(*.f64 (*.f64 x y) (-.f64 y #s(literal -1 binary64)))
(*.f64 (*.f64 x y) (-.f64 #s(literal -1 binary64) y))
(*.f64 (fma.f64 x y x) y)
(*.f64 x (*.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64))))
(*.f64 x (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))))
(*.f64 x (fma.f64 y y y))
(*.f64 y (/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (-.f64 y #s(literal -1 binary64))))
(*.f64 y (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) (fma.f64 y y #s(literal -1 binary64))))
(*.f64 y (*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal -1 binary64) y))))
(*.f64 y (*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))))
(*.f64 y (*.f64 #s(literal 1 binary64) (fma.f64 x y x)))
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(fma.f64 (*.f64 x y) #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)))
(fma.f64 (*.f64 x y) #s(literal -1 binary64) (neg.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x)))
(fma.f64 (*.f64 x y) #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal -1 binary64)))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (neg.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x)))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x))
(fma.f64 x (pow.f64 y #s(literal 3 binary64)) (*.f64 x y))
(fma.f64 x y (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal -1 binary64)))
(fma.f64 x y (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)))
(fma.f64 x y (neg.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x)))
(fma.f64 x y (*.f64 (pow.f64 y #s(literal 3 binary64)) x))
(fma.f64 y (*.f64 x #s(literal -1 binary64)) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal -1 binary64)))
(fma.f64 y (*.f64 x #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)))
(fma.f64 y (*.f64 x #s(literal -1 binary64)) (neg.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x)))
(fma.f64 y (*.f64 x #s(literal -1 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) x))
(fma.f64 y (*.f64 (*.f64 y y) x) (*.f64 x y))
(fma.f64 y (neg.f64 x) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal -1 binary64)))
(fma.f64 y (neg.f64 x) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)))
(fma.f64 y (neg.f64 x) (neg.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x)))
(fma.f64 y (neg.f64 x) (*.f64 (pow.f64 y #s(literal 3 binary64)) x))
(fma.f64 y x (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal -1 binary64)))
(fma.f64 y x (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)))
(fma.f64 y x (neg.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x)))
(fma.f64 y x (*.f64 (pow.f64 y #s(literal 3 binary64)) x))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (neg.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x)))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 (pow.f64 y #s(literal 3 binary64)) x))
(-.f64 (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) (*.f64 x y))
(-.f64 #s(literal 0 binary64) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) x))
(-.f64 (*.f64 x y) (*.f64 (pow.f64 y #s(literal 3 binary64)) x))
(+.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal -1 binary64)) (*.f64 x y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) (*.f64 x y))
(+.f64 (neg.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) (*.f64 x y))
(+.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) (*.f64 x y))
(+.f64 #s(literal 0 binary64) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) x))
(+.f64 (*.f64 x y) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal -1 binary64)))
(+.f64 (*.f64 x y) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)))
(+.f64 (*.f64 x y) (neg.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x)))
(+.f64 (*.f64 x y) (*.f64 (pow.f64 y #s(literal 3 binary64)) x))

eval611.0ms (11.8%)

Memory
-170.9MiB live, 292.0MiB allocated
Compiler

Compiled 24 218 to 2 453 computations (89.9% saved)

prune75.0ms (1.4%)

Memory
0.9MiB live, 86.7MiB allocated
Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New1 55821 560
Fresh011
Picked145
Done011
Total1 55981 567
Accuracy
100.0%
Counts
1 567 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶50.2%
(/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y))
▶99.9%
(/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
✓99.9%
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
✓99.9%
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
✓60.3%
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
✓53.7%
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x))
▶18.3%
#s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y))
✓58.8%
#s(approx (* (* x y) (- 1 y)) (*.f64 y x))
Compiler

Compiled 58 to 50 computations (13.8% saved)

simplify527.0ms (10.2%)

Memory
-28.0MiB live, 203.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y y)
cost-diff0
#s(approx (+ -1 (* y y)) (*.f64 y y))
cost-diff0
(*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x))
cost-diff0
(/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y))
cost-diff0
(-.f64 #s(literal 1 binary64) y)
cost-diff0
(pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
cost-diff0
(*.f64 y x)
cost-diff6848
(/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
cost-diff0
(neg.f64 x)
cost-diff0
(*.f64 (neg.f64 x) y)
cost-diff0
#s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y))
Rules
13 884×lower-fma.f64
13 884×lower-fma.f32
2 860×lower-*.f32
2 852×lower-*.f64
2 200×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02195
03195
15595
211193
318793
437693
560393
6122893
7193493
8319993
9475993
10604793
11669293
12692593
13700193
14720993
15752393
0813990
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y))
(*.f64 (neg.f64 x) y)
(neg.f64 x)
x
y
(/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 y x)
y
x
(pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
#s(literal -1 binary64)
(/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y))
(*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x))
#s(approx (+ -1 (* y y)) (*.f64 y y))
(*.f64 y y)
y
(*.f64 y x)
x
(-.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
Outputs
#s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y))
(*.f64 (neg.f64 x) y)
(neg.f64 x)
x
y
(/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(*.f64 y x)
y
x
(pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
#s(literal -1 binary64)
(/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y))
(*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x))
#s(approx (+ -1 (* y y)) (*.f64 y y))
(*.f64 y y)
y
(*.f64 y x)
x
(-.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)

localize81.0ms (1.6%)

Memory
-6.2MiB live, 81.0MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 y x)
accuracy1.209269117943328
(*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x))
accuracy5.207828996983805
(/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y))
accuracy33.19040016803518
#s(approx (+ -1 (* y y)) (*.f64 y y))
accuracy0
(-.f64 #s(literal 1 binary64) y)
accuracy0
(*.f64 y x)
accuracy0.0078125
(pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
accuracy0.09765625
(/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
accuracy0
(*.f64 (neg.f64 x) y)
accuracy0
(neg.f64 x)
accuracy52.28167041861338
#s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y))
Samples
32.0ms256×0valid
Compiler

Compiled 80 to 19 computations (76.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 9.0ms (43.4% of total)
ival-div: 3.0ms (14.5% of total)
ival-pow: 3.0ms (14.5% of total)
ival-sub: 2.0ms (9.6% of total)
ival-add: 1.0ms (4.8% of total)
ival-neg: 1.0ms (4.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series14.0ms (0.3%)

Memory
19.1MiB live, 19.1MiB allocated
Counts
11 → 204
Calls
Call 1
Inputs
#s(alt #s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y)) (patch #s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y)) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 x) y) (patch (*.f64 (neg.f64 x) y) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) (patch (/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())
#s(alt (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (patch (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) #<representation binary64>) () ())
#s(alt #s(approx (+ -1 (* y y)) (*.f64 y y)) (patch #s(approx (+ -1 (* y y)) (*.f64 y y)) #<representation binary64>) () ())
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())
Outputs
#s(alt (* x y) (taylor 0 y) (#s(alt #s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y)) (patch #s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt #s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y)) (patch #s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt #s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y)) (patch #s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt #s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y)) (patch #s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 x) y) (patch (*.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 x) y) (patch (*.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 x) y) (patch (*.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 x) y) (patch (*.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) (patch (/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) (patch (/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) (patch (/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) (patch (/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ 1 y))) (taylor 0 y) (#s(alt (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ 1 (* y (+ 1 y))))) (taylor 0 y) (#s(alt (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (patch (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 x) (* x (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (patch (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 x) (* x (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (patch (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 x) (* x (pow y 2)))) (taylor 0 y) (#s(alt (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (patch (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 y) (#s(alt #s(approx (+ -1 (* y y)) (*.f64 y y)) (patch #s(approx (+ -1 (* y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (- (pow y 2) 1) (taylor 0 y) (#s(alt #s(approx (+ -1 (* y y)) (*.f64 y y)) (patch #s(approx (+ -1 (* y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (- (pow y 2) 1) (taylor 0 y) (#s(alt #s(approx (+ -1 (* y y)) (*.f64 y y)) (patch #s(approx (+ -1 (* y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
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#s(alt (* x (* y (- 1 y))) (taylor 0 x) (#s(alt (/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) (patch (/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor 0 x) (#s(alt (/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) (patch (/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor 0 x) (#s(alt (/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) (patch (/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y))) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y))) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y))) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y))) (taylor 0 x) (#s(alt (/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- (pow y 2) 1))) (taylor 0 x) (#s(alt (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (patch (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- (pow y 2) 1))) (taylor 0 x) (#s(alt (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (patch (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- (pow y 2) 1))) (taylor 0 x) (#s(alt (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (patch (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- (pow y 2) 1))) (taylor 0 x) (#s(alt (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (patch (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt #s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y)) (patch #s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt #s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y)) (patch #s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt #s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y)) (patch #s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt #s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y)) (patch #s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor inf x) (#s(alt (*.f64 (neg.f64 x) y) (patch (*.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor inf x) (#s(alt (*.f64 (neg.f64 x) y) (patch (*.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor inf x) (#s(alt (*.f64 (neg.f64 x) y) (patch (*.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor inf x) (#s(alt (*.f64 (neg.f64 x) y) (patch (*.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt (/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) (patch (/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt (/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) (patch (/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt (/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) (patch (/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt (/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) (patch (/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y))) (taylor inf x) (#s(alt (/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y))) (taylor inf x) (#s(alt (/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y))) (taylor inf x) (#s(alt (/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y))) (taylor inf x) (#s(alt (/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- (pow y 2) 1))) (taylor inf x) (#s(alt (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (patch (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- (pow y 2) 1))) (taylor inf x) (#s(alt (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (patch (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- (pow y 2) 1))) (taylor inf x) (#s(alt (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (patch (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- (pow y 2) 1))) (taylor inf x) (#s(alt (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (patch (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt #s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y)) (patch #s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt #s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y)) (patch #s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt #s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y)) (patch #s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt #s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y)) (patch #s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) y) (patch (*.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) y) (patch (*.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) y) (patch (*.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) y) (patch (*.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) (patch (/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) (patch (/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) (patch (/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) (patch (/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y))) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y))) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y))) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y))) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- (pow y 2) 1))) (taylor -inf x) (#s(alt (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (patch (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- (pow y 2) 1))) (taylor -inf x) (#s(alt (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (patch (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- (pow y 2) 1))) (taylor -inf x) (#s(alt (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (patch (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- (pow y 2) 1))) (taylor -inf x) (#s(alt (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (patch (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) #<representation binary64>) () ())) ())
Calls

6 calls:

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

simplify168.0ms (3.2%)

Memory
5.7MiB live, 119.1MiB allocated
Algorithm
1×egg-herbie
Rules
10 238×lower-fma.f64
10 238×lower-fma.f32
3 064×lower-*.f64
3 064×lower-*.f32
1 610×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0701189
12051074
25661051
316731051
442321051
574951051
081411040
Stop Event
1×iter limit
1×node limit
Counts
204 → 204
Calls
Call 1
Inputs
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* 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 y)
(+ 1 (* y (+ 1 y)))
(+ 1 (* y (+ 1 (* y (+ 1 y)))))
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* -1 (* x y))
(* y (+ (* -1 x) (* x (pow y 2))))
(* y (+ (* -1 x) (* x (pow y 2))))
(* y (+ (* -1 x) (* x (pow y 2))))
-1
(- (pow y 2) 1)
(- (pow y 2) 1)
(- (pow y 2) 1)
(pow y 2)
(pow y 2)
(pow y 2)
(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 (* x y))
(* -1 (* x y))
(* -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)))
(* x y)
(* x y)
(* x y)
(* x y)
(/ -1 y)
(* -1 (/ (+ 1 (/ 1 y)) y))
(/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y)
(/ (- (* -1 (/ (+ 1 (/ 1 y)) (pow y 2))) (+ 1 (/ 1 y))) y)
(* -1 y)
(* 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 (pow y 3))
(* (pow y 3) (+ x (* -1 (/ x (pow y 2)))))
(* (pow y 3) (+ x (* -1 (/ x (pow y 2)))))
(* (pow y 3) (+ x (* -1 (/ x (pow y 2)))))
(pow y 2)
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(pow y 2)
(pow y 2)
(pow y 2)
(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 (* x y))
(* -1 (* x y))
(* -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)))
(* x y)
(* x y)
(* x y)
(* x y)
(/ -1 y)
(* -1 (/ (+ 1 (/ 1 y)) y))
(* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))) y))
(* -1 y)
(* -1 (* y (- 1 (/ 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 (pow y 3))
(* -1 (* (pow y 3) (+ (* -1 x) (/ x (pow y 2)))))
(* -1 (* (pow y 3) (+ (* -1 x) (/ x (pow y 2)))))
(* -1 (* (pow y 3) (+ (* -1 x) (/ x (pow y 2)))))
(pow y 2)
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* 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 (* y (- (pow y 2) 1))) (+ 1 y)))
(* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y)))
(* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y)))
(* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y)))
(* x (* y (- (pow y 2) 1)))
(* x (* y (- (pow y 2) 1)))
(* x (* y (- (pow y 2) 1)))
(* x (* y (- (pow y 2) 1)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* 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 (* y (- (pow y 2) 1))) (+ 1 y)))
(* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y)))
(* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y)))
(* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y)))
(* x (* y (- (pow y 2) 1)))
(* x (* y (- (pow y 2) 1)))
(* x (* y (- (pow y 2) 1)))
(* x (* y (- (pow y 2) 1)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* 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 (* y (- (pow y 2) 1))) (+ 1 y)))
(* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y)))
(* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y)))
(* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y)))
(* x (* y (- (pow y 2) 1)))
(* x (* y (- (pow y 2) 1)))
(* x (* y (- (pow y 2) 1)))
(* x (* y (- (pow y 2) 1)))
Outputs
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (* x y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* y (+ x (* -1 (* x y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* y (+ x (* -1 (* x y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (* x y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* y (+ x (* -1 (* x y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* y (+ x (* -1 (* x y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
1
#s(literal 1 binary64)
(+ 1 y)
(-.f64 y #s(literal -1 binary64))
(+ 1 (* y (+ 1 y)))
(fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (+ 1 (* y (+ 1 y)))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (* x y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* y (+ x (* -1 (* x y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* y (+ x (* -1 (* x y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* y (+ (* -1 x) (* x (pow y 2))))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) y) x)
(* y (+ (* -1 x) (* x (pow y 2))))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) y) x)
(* y (+ (* -1 x) (* x (pow y 2))))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) y) x)
-1
#s(literal -1 binary64)
(- (pow y 2) 1)
(fma.f64 y y #s(literal -1 binary64))
(- (pow y 2) 1)
(fma.f64 y y #s(literal -1 binary64))
(- (pow y 2) 1)
(fma.f64 y y #s(literal -1 binary64))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(* -1 (* 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 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(* -1 (/ (+ 1 (/ 1 y)) y))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) y)
(/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y)
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)) y)
(/ (- (* -1 (/ (+ 1 (/ 1 y)) (pow y 2))) (+ 1 (/ 1 y))) y)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)) y) #s(literal 1 binary64)) y)
(* -1 y)
(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 (pow y 3))
(*.f64 (pow.f64 y #s(literal 3 binary64)) x)
(* (pow y 3) (+ x (* -1 (/ x (pow y 2)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) y) x)
(* (pow y 3) (+ x (* -1 (/ x (pow y 2)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) y) x)
(* (pow y 3) (+ x (* -1 (/ x (pow y 2)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) y) x)
(pow y 2)
(*.f64 y y)
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal -1 binary64))
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal -1 binary64))
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal -1 binary64))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(* -1 (/ (+ 1 (/ 1 y)) y))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) y)
(* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)) y)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))) y))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)) y) #s(literal 1 binary64)) y)
(* -1 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 (pow y 3))
(*.f64 (pow.f64 y #s(literal 3 binary64)) x)
(* -1 (* (pow y 3) (+ (* -1 x) (/ x (pow y 2)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) y) x)
(* -1 (* (pow y 3) (+ (* -1 x) (/ x (pow y 2)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) y) x)
(* -1 (* (pow y 3) (+ (* -1 x) (/ x (pow y 2)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) y) x)
(pow y 2)
(*.f64 y y)
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal -1 binary64))
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal -1 binary64))
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal -1 binary64))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(* x (* y (- 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x (* y (- 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x (* y (- 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x (* y (- 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 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 (* y (- (pow y 2) 1))) (+ 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x (* y (- (pow y 2) 1)))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) y) x)
(* x (* y (- (pow y 2) 1)))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) y) x)
(* x (* y (- (pow y 2) 1)))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) y) x)
(* x (* y (- (pow y 2) 1)))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 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)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 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 (* y (- (pow y 2) 1))) (+ 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x (* y (- (pow y 2) 1)))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) y) x)
(* x (* y (- (pow y 2) 1)))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) y) x)
(* x (* y (- (pow y 2) 1)))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) y) x)
(* x (* y (- (pow y 2) 1)))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 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)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 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 (* y (- (pow y 2) 1))) (+ 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x (* y (- (pow y 2) 1)))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) y) x)
(* x (* y (- (pow y 2) 1)))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) y) x)
(* x (* y (- (pow y 2) 1)))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) y) x)
(* x (* y (- (pow y 2) 1)))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) y) x)

rewrite193.0ms (3.7%)

Memory
1.2MiB live, 134.6MiB allocated
Rules
3 744×lower-*.f32
3 736×lower-*.f64
3 034×lower-/.f32
3 030×lower-/.f64
2 954×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02180
03180
110978
262678
3622978
0829275
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
11 → 571
Calls
Call 1
Inputs
#s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y))
(*.f64 (neg.f64 x) y)
(neg.f64 x)
(/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 y x)
(pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) y)
(/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y))
(*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x))
#s(approx (+ -1 (* y y)) (*.f64 y y))
(*.f64 y y)
Outputs
#s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y))
(*.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) y)
(*.f64 (neg.f64 y) x)
(*.f64 (*.f64 (neg.f64 x) y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 y x))
(*.f64 (*.f64 y x) #s(literal -1 binary64))
(*.f64 (neg.f64 x) y)
(*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) y))
(*.f64 y (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(/.f64 (*.f64 y (neg.f64 (*.f64 x x))) x)
(/.f64 (*.f64 y (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) (+.f64 #s(literal 0 binary64) (*.f64 y x)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y x) (*.f64 y x) (*.f64 #s(literal 0 binary64) (*.f64 y x)))))
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) y) x)
(/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) y) (*.f64 x x))
(neg.f64 (*.f64 y x))
(fma.f64 #s(literal 0 binary64) y (*.f64 (neg.f64 x) y))
(fma.f64 y #s(literal 0 binary64) (*.f64 (neg.f64 x) y))
(-.f64 #s(literal 0 binary64) (*.f64 y x))
(+.f64 (*.f64 y #s(literal 0 binary64)) (*.f64 (neg.f64 x) y))
(+.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (neg.f64 x) y))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) y))
(*.f64 (neg.f64 (*.f64 x x)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 (*.f64 x x) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(pow.f64 (/.f64 x (neg.f64 (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x x) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 #s(literal 0 binary64) (neg.f64 x)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 #s(literal 0 binary64) (neg.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 x x))) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (*.f64 x x)))
(/.f64 (neg.f64 (*.f64 x x)) x)
(/.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (neg.f64 (pow.f64 x #s(literal 3 binary64)))))
(neg.f64 x)
(fma.f64 (neg.f64 (*.f64 x x)) (pow.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) x))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)))
(-.f64 #s(literal 0 binary64) x)
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(+.f64 (neg.f64 x) #s(literal 0 binary64))
(*.f64 (/.f64 (*.f64 (+.f64 y (pow.f64 (neg.f64 y) #s(literal 3 binary64))) x) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (*.f64 (+.f64 y (pow.f64 (neg.f64 y) #s(literal 3 binary64))) x) (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (*.f64 (+.f64 y (neg.f64 (pow.f64 y #s(literal 4 binary64)))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 y y y)))
(*.f64 (/.f64 (*.f64 (+.f64 y (neg.f64 (pow.f64 y #s(literal 4 binary64)))) x) (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 y y y) (-.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (neg.f64 x) y) #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) y)
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)))) (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (-.f64 (*.f64 y y) y))
(*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) y) y))
(*.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (*.f64 y x) #s(literal -1 binary64)) (-.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))) (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64)))) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64))) (/.f64 (*.f64 y x) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)))))
(*.f64 (/.f64 (neg.f64 x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64))) (/.f64 y (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)))))
(*.f64 (/.f64 (neg.f64 y) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64))) (/.f64 x (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)))))
(*.f64 (/.f64 x (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)))) (/.f64 (neg.f64 y) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64))))
(*.f64 (/.f64 x #s(literal -1 binary64)) (-.f64 (*.f64 y y) y))
(*.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 y (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64)))) (/.f64 y (-.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 x (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))
(*.f64 (/.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64)))) (/.f64 x (-.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 y (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)))) (/.f64 (neg.f64 x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64))))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))))
(*.f64 (/.f64 y #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(*.f64 (*.f64 y (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (*.f64 y (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)))))
(*.f64 (*.f64 (+.f64 y (pow.f64 (neg.f64 y) #s(literal 3 binary64))) x) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 y (neg.f64 (pow.f64 y #s(literal 4 binary64)))) x) (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64))) (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64))))
(*.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64))) (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(*.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 (neg.f64 x) y))
(*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (*.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 y x)))
(*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (/.f64 (*.f64 y x) (-.f64 y #s(literal -1 binary64))))
(*.f64 (neg.f64 y) (*.f64 x (-.f64 y #s(literal 1 binary64))))
(*.f64 (neg.f64 y) (/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))))
(*.f64 (-.f64 (*.f64 y y) y) (neg.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 y x)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (*.f64 y x) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))
(*.f64 (*.f64 (neg.f64 x) y) (-.f64 y #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 y y) y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y x))
(*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y))
(*.f64 (neg.f64 x) (-.f64 (*.f64 y y) y))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x))
(*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) y) x))
(*.f64 x (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 y y) y)))
(*.f64 x (*.f64 (neg.f64 y) (-.f64 y #s(literal 1 binary64))))
(*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) y))
(pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) (*.f64 y (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y (pow.f64 (neg.f64 y) #s(literal 3 binary64))) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (*.f64 (+.f64 y (neg.f64 (pow.f64 y #s(literal 4 binary64)))) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 y (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/4 binary64)))
(/.f64 (/.f64 (*.f64 (neg.f64 x) y) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64))))
(/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (*.f64 y x)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 y x)) (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) (-.f64 (*.f64 y y) y)) x)
(/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 y y) y)) (*.f64 x x))
(/.f64 (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64))) x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64))) y) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64))))) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 y (pow.f64 (neg.f64 y) #s(literal 3 binary64))) x)) (-.f64 y #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 y (neg.f64 (pow.f64 y #s(literal 4 binary64)))) x)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) (*.f64 (*.f64 (neg.f64 x) y) y))) (-.f64 (*.f64 y x) (*.f64 (*.f64 (neg.f64 x) y) y)))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 x) y) y) #s(literal 3 binary64))) (fma.f64 (*.f64 y x) (*.f64 y x) (-.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) (*.f64 (*.f64 (neg.f64 x) y) y)) (*.f64 (*.f64 y x) (*.f64 (*.f64 (neg.f64 x) y) y)))))
(/.f64 (/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))
(/.f64 (/.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64)))) (-.f64 y #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 y (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64))))) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 y (pow.f64 (neg.f64 y) #s(literal 3 binary64))) x)) (-.f64 #s(literal -1 binary64) y))
(/.f64 (neg.f64 (*.f64 (+.f64 y (neg.f64 (pow.f64 y #s(literal 4 binary64)))) x)) (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 y x) (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) y))
(/.f64 (*.f64 (*.f64 y x) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))))
(/.f64 (*.f64 (*.f64 y x) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))
(/.f64 (*.f64 (neg.f64 (*.f64 x x)) y) (*.f64 x (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))))
(/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) y) (*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))))
(/.f64 (*.f64 y (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)))
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)) (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) y) x))
(/.f64 (*.f64 (+.f64 y (pow.f64 (neg.f64 y) #s(literal 3 binary64))) x) (*.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 y (pow.f64 (neg.f64 y) #s(literal 3 binary64))) x) (-.f64 y #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 y (neg.f64 (pow.f64 y #s(literal 4 binary64)))) x) (*.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 y (neg.f64 (pow.f64 y #s(literal 4 binary64)))) x) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))
(/.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) x))
(/.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) y))
(/.f64 (*.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x (-.f64 (*.f64 y y) y)) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (*.f64 y x) #s(literal -1 binary64)))
(/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) (*.f64 y (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y (pow.f64 (neg.f64 y) #s(literal 3 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) (*.f64 (+.f64 y (neg.f64 (pow.f64 y #s(literal 4 binary64)))) x)))
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(/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y))
(/.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) y) x))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 y #s(literal -1 binary64)) (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 y #s(literal -1 binary64)))))
(neg.f64 (/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 y #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 x) y) #s(approx (+ -1 (* y y)) (*.f64 y y))) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 x) y) #s(approx (+ -1 (* y y)) (*.f64 y y))) (fma.f64 y y #s(literal -1 binary64))) y))
(fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 x) y) #s(approx (+ -1 (* y y)) (*.f64 y y))) (fma.f64 y y #s(literal -1 binary64))) y (*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 x) y) #s(approx (+ -1 (* y y)) (*.f64 y y))) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)))
(fma.f64 (/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 y)))
(fma.f64 (/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (*.f64 y y) y) (*.f64 (/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (*.f64 y y) y)))
(fma.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (neg.f64 y) (/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))))
(fma.f64 (-.f64 (*.f64 y y) y) (/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 x) y) #s(approx (+ -1 (* y y)) (*.f64 y y))) (fma.f64 y y #s(literal -1 binary64))) (*.f64 y (/.f64 (*.f64 (*.f64 (neg.f64 x) y) #s(approx (+ -1 (* y y)) (*.f64 y y))) (fma.f64 y y #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (-.f64 (*.f64 y y) y) (/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))))
(fma.f64 y (/.f64 (*.f64 (*.f64 (neg.f64 x) y) #s(approx (+ -1 (* y y)) (*.f64 y y))) (fma.f64 y y #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 x) y) #s(approx (+ -1 (* y y)) (*.f64 y y))) (fma.f64 y y #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 y #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 y #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)))) #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 x) y) #s(approx (+ -1 (* y y)) (*.f64 y y))) (fma.f64 y y #s(literal -1 binary64)))) (*.f64 y (/.f64 (*.f64 (*.f64 (neg.f64 x) y) #s(approx (+ -1 (* y y)) (*.f64 y y))) (fma.f64 y y #s(literal -1 binary64)))))
(+.f64 (*.f64 y (/.f64 (*.f64 (*.f64 (neg.f64 x) y) #s(approx (+ -1 (* y y)) (*.f64 y y))) (fma.f64 y y #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 x) y) #s(approx (+ -1 (* y y)) (*.f64 y y))) (fma.f64 y y #s(literal -1 binary64)))))
(+.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (neg.f64 y) (/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))))
(+.f64 (*.f64 (-.f64 (*.f64 y y) y) (/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (-.f64 (*.f64 y y) y) (/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))))
(+.f64 (*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 x) y) #s(approx (+ -1 (* y y)) (*.f64 y y))) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 x) y) #s(approx (+ -1 (* y y)) (*.f64 y y))) (fma.f64 y y #s(literal -1 binary64))) y))
(+.f64 (*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 x) y) #s(approx (+ -1 (* y y)) (*.f64 y y))) (fma.f64 y y #s(literal -1 binary64))) y) (*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 x) y) #s(approx (+ -1 (* y y)) (*.f64 y y))) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 y)))
(+.f64 (*.f64 (/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (*.f64 y y) y)) (*.f64 (/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (*.f64 y y) y)))
(*.f64 (*.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) x) #s(literal 1 binary64)) y)
(*.f64 (neg.f64 (*.f64 (neg.f64 y) #s(approx (+ -1 (* y y)) (*.f64 y y)))) x)
(*.f64 (neg.f64 (neg.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)))) (*.f64 y x))
(*.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) x) y)
(*.f64 (*.f64 (neg.f64 y) #s(approx (+ -1 (* y y)) (*.f64 y y))) (neg.f64 x))
(*.f64 (neg.f64 #s(approx (+ -1 (* y y)) (*.f64 y y))) (*.f64 (neg.f64 x) y))
(*.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) y) (neg.f64 (neg.f64 x)))
(*.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) y) x)
(*.f64 (*.f64 (neg.f64 x) y) (neg.f64 #s(approx (+ -1 (* y y)) (*.f64 y y))))
(*.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) #s(literal 1 binary64))
(*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) y) #s(approx (+ -1 (* y y)) (*.f64 y y))))
(*.f64 (*.f64 y x) (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) #s(literal 1 binary64)))
(*.f64 (*.f64 y x) (neg.f64 (neg.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)))))
(*.f64 (*.f64 y x) #s(approx (+ -1 (* y y)) (*.f64 y y)))
(*.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)))
(*.f64 y (*.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) x)))
(*.f64 y (*.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) x) #s(literal 1 binary64)))
(*.f64 y (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) x))
(*.f64 x (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) y))
(neg.f64 (*.f64 (*.f64 (neg.f64 x) y) #s(approx (+ -1 (* y y)) (*.f64 y y))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 x) y) #s(approx (+ -1 (* y y)) (*.f64 y y))))
#s(approx (+ -1 (* y y)) (*.f64 y y))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64))
(*.f64 (*.f64 y y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) y))
(*.f64 #s(literal 1 binary64) (*.f64 y y))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) y))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 y))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))

eval215.0ms (4.1%)

Memory
-21.4MiB live, 133.9MiB allocated
Compiler

Compiled 12 028 to 1 610 computations (86.6% saved)

prune48.0ms (0.9%)

Memory
7.4MiB live, 46.1MiB allocated
Pruning

9 alts after pruning (2 fresh and 7 done)

PrunedKeptTotal
New8162818
Fresh000
Picked123
Done055
Total8179826
Accuracy
100.0%
Counts
826 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.5%
(/.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (*.f64 y x) #s(literal -1 binary64)))
✓50.2%
(/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y))
▶60.3%
(/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)))
✓99.9%
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
✓99.9%
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
✓60.3%
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
✓53.7%
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x))
✓18.3%
#s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y))
✓58.8%
#s(approx (* (* x y) (- 1 y)) (*.f64 y x))
Compiler

Compiled 66 to 57 computations (13.6% saved)

simplify97.0ms (1.9%)

Memory
-9.7MiB live, 37.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y x)
cost-diff0
(pow.f64 (*.f64 y x) #s(literal -1 binary64))
cost-diff0
(-.f64 #s(literal 1 binary64) y)
cost-diff6848
(/.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (*.f64 y x) #s(literal -1 binary64)))
cost-diff0
(/.f64 #s(literal -1 binary64) y)
cost-diff0
#s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))
cost-diff0
(*.f64 y x)
cost-diff0
(/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)))
Rules
904×lower-fma.f64
904×lower-fma.f32
720×lower-*.f32
718×lower-*.f64
576×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01355
01955
13155
25153
311153
427653
556553
682053
7109653
8155653
9227953
10270153
11287653
12288053
13288653
14288853
15288853
0288853
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)))
(*.f64 y x)
y
x
#s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (*.f64 y x) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(pow.f64 (*.f64 y x) #s(literal -1 binary64))
(*.f64 y x)
x
#s(literal -1 binary64)
Outputs
(/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (*.f64 x y) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)))
(*.f64 y x)
(*.f64 x y)
y
x
#s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (*.f64 y x) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(pow.f64 (*.f64 y x) #s(literal -1 binary64))
(pow.f64 (*.f64 x y) #s(literal -1 binary64))
(*.f64 y x)
(*.f64 x y)
x
#s(literal -1 binary64)

localize78.0ms (1.5%)

Memory
12.9MiB live, 50.3MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 #s(literal 1 binary64) y)
accuracy0
(*.f64 y x)
accuracy0.2868866765741155
(pow.f64 (*.f64 y x) #s(literal -1 binary64))
accuracy0.33145207201709403
(/.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (*.f64 y x) #s(literal -1 binary64)))
accuracy0
(/.f64 #s(literal -1 binary64) y)
accuracy0
(*.f64 y x)
accuracy0.09765625
(/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)))
accuracy33.14626265433512
#s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))
Samples
70.0ms256×0valid
Compiler

Compiled 49 to 13 computations (73.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-pow: 7.0ms (45.6% of total)
ival-div: 5.0ms (32.6% of total)
ival-mult: 2.0ms (13% of total)
ival-sub: 1.0ms (6.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series65.0ms (1.2%)

Memory
-14.8MiB live, 23.0MiB allocated
Counts
7 → 132
Calls
Call 1
Inputs
#s(alt (/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) (patch (/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())
#s(alt #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) (patch #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (*.f64 y x) #s(literal -1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (*.f64 y x) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())
#s(alt (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (patch (pow.f64 (*.f64 y x) #s(literal -1 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* x y) (taylor 0 y) (#s(alt (/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) (patch (/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) (patch (/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) (patch (/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
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#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt (/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) (patch (/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt (/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) (patch (/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt (/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) (patch (/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt (/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) (patch (/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (*.f64 y x) #s(literal -1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (*.f64 y x) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (*.f64 y x) #s(literal -1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (*.f64 y x) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (*.f64 y x) #s(literal -1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (*.f64 y x) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (*.f64 y x) #s(literal -1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (*.f64 y x) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor inf x) (#s(alt (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (patch (pow.f64 (*.f64 y x) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor inf x) (#s(alt (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (patch (pow.f64 (*.f64 y x) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor inf x) (#s(alt (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (patch (pow.f64 (*.f64 y x) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor inf x) (#s(alt (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (patch (pow.f64 (*.f64 y x) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) (patch (/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) (patch (/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) (patch (/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) (patch (/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (*.f64 y x) #s(literal -1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (*.f64 y x) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (*.f64 y x) #s(literal -1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (*.f64 y x) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (*.f64 y x) #s(literal -1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (*.f64 y x) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (*.f64 y x) #s(literal -1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (*.f64 y x) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (patch (pow.f64 (*.f64 y x) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (patch (pow.f64 (*.f64 y x) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (patch (pow.f64 (*.f64 y x) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor -inf x) (#s(alt (pow.f64 (*.f64 y x) #s(literal -1 binary64)) (patch (pow.f64 (*.f64 y x) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
55.0ms
x
@-inf
((/ (* y x) (pow (- 1 y) -1)) (* y x) (pow (- 1 y) -1) (/ -1 y) (/ (- 1 y) (pow (* y x) -1)) (- 1 y) (pow (* y x) -1))
4.0ms
y
@-inf
((/ (* y x) (pow (- 1 y) -1)) (* y x) (pow (- 1 y) -1) (/ -1 y) (/ (- 1 y) (pow (* y x) -1)) (- 1 y) (pow (* y x) -1))
1.0ms
y
@inf
((/ (* y x) (pow (- 1 y) -1)) (* y x) (pow (- 1 y) -1) (/ -1 y) (/ (- 1 y) (pow (* y x) -1)) (- 1 y) (pow (* y x) -1))
1.0ms
y
@0
((/ (* y x) (pow (- 1 y) -1)) (* y x) (pow (- 1 y) -1) (/ -1 y) (/ (- 1 y) (pow (* y x) -1)) (- 1 y) (pow (* y x) -1))
1.0ms
x
@inf
((/ (* y x) (pow (- 1 y) -1)) (* y x) (pow (- 1 y) -1) (/ -1 y) (/ (- 1 y) (pow (* y x) -1)) (- 1 y) (pow (* y x) -1))

simplify158.0ms (3.1%)

Memory
10.5MiB live, 162.1MiB allocated
Algorithm
1×egg-herbie
Rules
7 836×lower-fma.f64
7 836×lower-fma.f32
2 466×lower-*.f64
2 466×lower-*.f32
2 208×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052730
1143678
2348676
3867676
42026676
54929676
67670676
08156674
Stop Event
1×iter limit
1×node limit
Counts
132 → 132
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 y)
(+ 1 (* y (+ 1 y)))
(+ 1 (* y (+ 1 (* y (+ 1 y)))))
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 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)))
(* x y)
(* x y)
(* x y)
(* x y)
(/ -1 y)
(* -1 (/ (+ 1 (/ 1 y)) y))
(/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y)
(/ (- (* -1 (/ (+ 1 (/ 1 y)) (pow y 2))) (+ 1 (/ 1 y))) y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* -1 y)
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 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)))
(* x y)
(* x y)
(* x y)
(* x y)
(/ -1 y)
(* -1 (/ (+ 1 (/ 1 y)) y))
(* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))) y))
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* -1 y)
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* 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)))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* 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)))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* 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)))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* 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 y)
(-.f64 y #s(literal -1 binary64))
(+ 1 (* y (+ 1 y)))
(fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (+ 1 (* y (+ 1 y)))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal -1 binary64)))
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (* x y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* y (+ x (* -1 (* x y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* y (+ x (* -1 (* x y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
1
#s(literal 1 binary64)
(+ 1 (* -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 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))
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(* -1 (/ (+ 1 (/ 1 y)) y))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) y)
(/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y)
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)) y)
(/ (- (* -1 (/ (+ 1 (/ 1 y)) (pow y 2))) (+ 1 (/ 1 y))) y)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)) y) #s(literal 1 binary64)) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* -1 y)
(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 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))
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(* -1 (/ (+ 1 (/ 1 y)) y))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) y)
(* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)) y)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))) y))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)) y) #s(literal 1 binary64)) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* -1 y)
(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 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 (- 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)
(/ 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 (- 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)
(/ 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 (- 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)
(/ 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))

rewrite149.0ms (2.9%)

Memory
18.0MiB live, 205.0MiB allocated
Rules
2 702×lower-*.f32
2 700×lower-*.f64
2 632×lower-fma.f64
2 632×lower-fma.f32
2 036×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01345
01945
17943
242643
3465843
0874340
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
7 → 646
Calls
Call 1
Inputs
(/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)))
(*.f64 y x)
#s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) y)
(/.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (*.f64 y x) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) y)
(pow.f64 (*.f64 y x) #s(literal -1 binary64))
Outputs
(*.f64 (*.f64 (/.f64 x #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64)) y)
(*.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 y #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64)))))
(*.f64 (pow.f64 (/.f64 (*.f64 x y) #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (*.f64 x y) #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 y #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64)))))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 y #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64)))))
(*.f64 (/.f64 y #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64)))) x)
(*.f64 (/.f64 (*.f64 x y) #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64)))) (*.f64 x y))
(*.f64 (neg.f64 x) (*.f64 y (/.f64 #s(literal -1 binary64) #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64))))))
(*.f64 (neg.f64 x) (/.f64 y #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64)))))
(*.f64 (/.f64 x #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64)))) y)
(*.f64 (pow.f64 #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 x y))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64)))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64)))))
(*.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64)))))
(*.f64 (*.f64 x y) (pow.f64 #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 x (*.f64 y (/.f64 #s(literal -1 binary64) #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64))))))
(*.f64 x (/.f64 y #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64)))))
(*.f64 y (*.f64 x (/.f64 #s(literal -1 binary64) #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64))))))
(*.f64 y (/.f64 x (neg.f64 #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64))))))
(*.f64 y (/.f64 (neg.f64 x) #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64)))))
(*.f64 y (/.f64 x #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64)))))
(pow.f64 (exp.f64 (log.f64 (/.f64 #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64))) (*.f64 x y)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64))) (*.f64 x y)) (/.f64 #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64))) (*.f64 x y))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 x y) #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 x y) #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64))) (*.f64 x y)) #s(literal -1 binary64))
(/.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64))) #s(literal -1 binary64))) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64))) #s(literal -1 binary64))) (pow.f64 (*.f64 x y) #s(literal -1 binary64)))
(/.f64 (*.f64 (pow.f64 #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)) (sqrt.f64 (*.f64 x y))) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (pow.f64 #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 x y) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 x y))) (*.f64 (neg.f64 #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64)))) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 x y)) #s(literal -1 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (neg.f64 #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64))))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64)))))
(/.f64 (/.f64 y #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64)))) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (neg.f64 #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64)))) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))))
(/.f64 (sqrt.f64 (*.f64 x y)) (*.f64 #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64))) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))))
(/.f64 (pow.f64 #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 x y) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64))) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64))) (*.f64 x y)))
(/.f64 (*.f64 x y) (neg.f64 #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64)))))
(/.f64 (*.f64 x y) #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64))))
(/.f64 y (*.f64 (neg.f64 #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64)))) (pow.f64 x #s(literal -1 binary64))))
(/.f64 y (*.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64))))))
(/.f64 y (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64)))))
(/.f64 y (/.f64 #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64))) x))
(neg.f64 (/.f64 (*.f64 x y) #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64))))) (/.f64 (*.f64 x y) #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64)))) (/.f64 (*.f64 x y) #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x y) #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64)))))
(exp.f64 (-.f64 (*.f64 (log.f64 #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64)))) #s(literal -1 binary64)) (*.f64 (log.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(exp.f64 (-.f64 (*.f64 (log.f64 #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64)))) #s(literal -1 binary64)) (*.f64 (log.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) #s(literal 2 binary64))))
(exp.f64 (-.f64 (*.f64 (log.f64 #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64)))) #s(literal -1 binary64)) (neg.f64 (log.f64 (*.f64 x y)))))
(exp.f64 (fma.f64 (log.f64 #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64)))) #s(literal -1 binary64) (log.f64 (*.f64 x y))))
(exp.f64 (+.f64 (log.f64 (*.f64 x y)) (*.f64 (log.f64 #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64)))) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64))) (*.f64 x y))) #s(literal -1 binary64)))
(*.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) y)
(*.f64 (*.f64 x #s(literal -1 binary64)) y)
(*.f64 (*.f64 #s(literal 1 binary64) x) y)
(*.f64 (*.f64 x #s(literal 1 binary64)) y)
(*.f64 (neg.f64 (neg.f64 x)) y)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 x)))
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)))
(*.f64 (neg.f64 x) y)
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(*.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 (*.f64 x y) #s(literal -1 binary64))
(*.f64 (*.f64 x y) #s(literal 1 binary64))
(*.f64 x y)
(*.f64 y (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 y (*.f64 #s(literal 1 binary64) x))
(*.f64 y (*.f64 x #s(literal 1 binary64)))
(*.f64 y (/.f64 x #s(literal 1 binary64)))
(*.f64 y (neg.f64 (neg.f64 x)))
(*.f64 y (neg.f64 x))
(*.f64 y x)
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (*.f64 x y)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (*.f64 x y))))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal -1/4 binary64)) #s(literal -4 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(/.f64 (pow.f64 (*.f64 x y) #s(literal 3/4 binary64)) (pow.f64 (*.f64 x y) #s(literal -1/4 binary64)))
(/.f64 (/.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 (/.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (pow.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (*.f64 x y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 x y)))))
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))))
(/.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (neg.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 x y))) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (*.f64 x y))) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)))
(/.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))))
(/.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)))
(/.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64)) (pow.f64 (*.f64 x y) #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x y) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal -1 binary64)))
(/.f64 (*.f64 x y) #s(literal -1 binary64))
(/.f64 (*.f64 x y) #s(literal 1 binary64))
(/.f64 x (pow.f64 y #s(literal -1 binary64)))
(/.f64 y (/.f64 #s(literal -1 binary64) x))
(/.f64 y (pow.f64 x #s(literal -1 binary64)))
(neg.f64 (*.f64 x y))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(exp.f64 (-.f64 (neg.f64 (*.f64 (log.f64 y) #s(literal -1 binary64))) (neg.f64 (log.f64 x))))
(exp.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (fma.f64 (log.f64 (*.f64 x y)) #s(literal -1 binary64) (neg.f64 (log.f64 (*.f64 x y))))))
(exp.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) #s(literal 2 binary64)) (fma.f64 (log.f64 (*.f64 x y)) #s(literal -1 binary64) (neg.f64 (log.f64 (*.f64 x y))))))
(exp.f64 (-.f64 (neg.f64 (log.f64 (*.f64 x y))) (fma.f64 (log.f64 (*.f64 x y)) #s(literal -1 binary64) (neg.f64 (log.f64 (*.f64 x y))))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal -1/2 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) #s(literal 2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) #s(literal 2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) #s(literal -2 binary64)))
(exp.f64 (log.f64 (*.f64 x y)))
(+.f64 #s(literal 0 binary64) (*.f64 x y))
(*.f64 #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64)))))
(*.f64 #s(literal 1 binary64) #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64))))
(pow.f64 (pow.f64 #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))
#s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (neg.f64 #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64)))) #s(literal -1 binary64))
(/.f64 #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)))
(neg.f64 (neg.f64 #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64)))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64)))))
(exp.f64 (neg.f64 (*.f64 (log.f64 #s(approx (pow (- 1 y) -1) (pow.f64 y #s(literal -1 binary64)))) #s(literal -1 binary64))))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (neg.f64 (pow.f64 y #s(literal -1/2 binary64))))
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eval124.0ms (2.4%)

Memory
32.6MiB live, 291.2MiB allocated
Compiler

Compiled 12 407 to 1 715 computations (86.2% saved)

prune22.0ms (0.4%)

Memory
10.1MiB live, 94.3MiB allocated
Pruning

10 alts after pruning (2 fresh and 8 done)

PrunedKeptTotal
New8672869
Fresh000
Picked112
Done077
Total86810878
Accuracy
100.0%
Counts
878 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) y))
99.5%
(/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
✓50.2%
(/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y))
✓60.3%
(/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)))
✓99.9%
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
✓99.9%
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
✓60.3%
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
✓53.7%
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x))
✓18.3%
#s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y))
✓58.8%
#s(approx (* (* x y) (- 1 y)) (*.f64 y x))
Compiler

Compiled 185 to 106 computations (42.7% saved)

regimes15.0ms (0.3%)

Memory
-20.7MiB live, 58.1MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (* (* x y) (- 1 y)) (*.f64 y x))
#s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y))
#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 x y) (-.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (*.f64 #s(approx (+ -1 (* y y)) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y))
(/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y))
(/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) y))
(/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (*.f64 y x) #s(literal -1 binary64)))
Outputs
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
Calls

3 calls:

5.0ms
x
4.0ms
y
4.0ms
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes8.0ms (0.2%)

Memory
-13.1MiB live, 26.4MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (* (* x y) (- 1 y)) (*.f64 y x))
#s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y))
#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 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
2.0ms
y
2.0ms
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes6.0ms (0.1%)

Memory
18.3MiB live, 18.3MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (* (* x y) (- 1 y)) (*.f64 y x))
#s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y))
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x))
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
Outputs
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
#s(approx (* (* x y) (- 1 y)) (*.f64 y x))
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
Calls

3 calls:

2.0ms
x
2.0ms
y
2.0ms
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Results
AccuracySegmentsBranch
71.7%2x
98.5%3y
87.8%2(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes2.0ms (0%)

Memory
6.5MiB live, 6.5MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (* (* x y) (- 1 y)) (*.f64 y x))
#s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y))
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x))
Outputs
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x))
#s(approx (* (* x y) (- 1 y)) (*.f64 y x))
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x))
Calls

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
91.9%3y
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes15.0ms (0.3%)

Memory
-57.7MiB live, 13.5MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (* (* x y) (- 1 y)) (*.f64 y x))
#s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y))
Outputs
#s(approx (* (* x y) (- 1 y)) (*.f64 y x))
#s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y))
Calls

3 calls:

12.0ms
x
1.0ms
y
1.0ms
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Results
AccuracySegmentsBranch
58.8%1x
58.8%1(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
63.7%2y
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes1.0ms (0%)

Memory
3.5MiB live, 3.5MiB 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

1 calls:

1.0ms
y
Results
AccuracySegmentsBranch
58.8%1y
Compiler

Compiled 1 to 2 computations (-100% saved)

bsearch25.0ms (0.5%)

Memory
3.9MiB live, 42.5MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
0.030157655528055986
114977279411913090.0
10.0ms
-12424.267908188818
-0.08626711086427225
Samples
12.0ms304×0valid
Compiler

Compiled 219 to 239 computations (-9.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 4.0ms (69.2% of total)
ival-sub: 1.0ms (17.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
3.4MiB live, 3.4MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
0.030157655528055986
114977279411913090.0
1.0ms
-12424.267908188818
-0.08626711086427225
Compiler

Compiled 219 to 239 computations (-9.1% saved)

bsearch1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
0.030157655528055986
114977279411913090.0
Compiler

Compiled 100 to 121 computations (-21% saved)

simplify23.0ms (0.5%)

Memory
12.3MiB live, 51.3MiB allocated
Algorithm
1×egg-herbie
Rules
28×*-commutative-binary64-*.f64
12×neg-sub0-binary64--.f64-neg.f64
12×+-commutative-binary64-+.f64
12×neg-mul-1-binary64-*.f64-neg.f64
12×sub-neg-binary64-neg.f64-+.f64--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030138
149138
264138
376138
480138
581138
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 -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))))
(if (<=.f64 y #s(literal 1 binary64)) #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) #s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y)))
#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 -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))))
(if (<=.f64 y #s(literal 1 binary64)) #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) #s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y)))
(if (<=.f64 y #s(literal 1 binary64)) #s(approx (* (* x y) (- 1 y)) (*.f64 x y)) #s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y)))
#s(approx (* (* x y) (- 1 y)) (*.f64 y x))
#s(approx (* (* x y) (- 1 y)) (*.f64 x y))

soundness710.0ms (13.7%)

Memory
-3.6MiB live, 347.1MiB 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
024104
03899
110799
256898
3597090
0970984
027287
170266
2165266
3263266
4635266
52084266
64141266
75629266
86507266
97085266
107712266
08217266
0613
0913
13013
216513
3134313
0956212
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 114 to 55 computations (51.8% saved)

preprocess59.0ms (1.1%)

Memory
-1.5MiB live, 155.7MiB allocated
Remove

(negabs x)

Compiler

Compiled 236 to 112 computations (52.5% saved)

end0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

Profiling

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