Examples.Basics.BasicTests:f2 from sbv-4.4

Time bar (total: 4.3s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB 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 7 computations (22.2% saved)

sample770.0ms (18%)

Memory
-20.9MiB live, 1 302.9MiB allocated
Samples
560.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 235.0ms
ival-mult: 116.0ms (49.3% of total)
ival-sub: 111.0ms (47.2% of total)
ival-true: 5.0ms (2.1% of total)
ival-assert: 3.0ms (1.3% of total)
Bogosity

explain70.0ms (1.6%)

Memory
-28.9MiB live, 140.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
210-21(1.6250325138011597e+220 -1.1664269759858991e+238)(-.f64 (*.f64 x x) (*.f64 y y))
00-0-y
00-0-(*.f64 y y)
00-0-(*.f64 x x)
00-0-x
Confusion
Predicted +Predicted -
+021
-0235
Precision
0/0
Recall
0.0
Confusion?
Predicted +Predicted MaybePredicted -
+0021
-00235
Precision?
0/0
Recall?
0.0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+001
-000
Precision?
0/0
Recall?
0.0
Samples
25.0ms512×0valid
Compiler

Compiled 56 to 24 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 7.0ms (72.5% of total)
ival-sub: 2.0ms (20.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess492.0ms (11.5%)

Memory
22.8MiB live, 287.3MiB allocated
Algorithm
1×egg-herbie
Rules
24 584×lower-fma.f64
24 584×lower-fma.f32
5 200×lower-+.f64
5 200×lower-+.f32
3 934×associate-+r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01338
15135
214435
336635
489235
5122335
6175435
7234035
8415235
9472735
10484035
11495435
12503435
13503435
14641535
15739335
16787735
17789335
18789335
057
087
1167
2277
3537
41147
53157
65677
712387
824957
941247
1049977
1153667
1255967
1357107
1457107
1566707
1668307
1771507
1871507
1975507
2077107
2177907
2277907
2377907
0102687
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) (*.f64 y y))
Outputs
(-.f64 (*.f64 x x) (*.f64 y y))
(fma.f64 (neg.f64 y) y (*.f64 x x))
Symmetry

(abs y)

(abs x)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶91.8%
(-.f64 (*.f64 x x) (*.f64 y y))
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify366.0ms (8.6%)

Memory
-8.1MiB live, 234.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y y)
cost-diff0
(*.f64 x x)
cost-diff0
(-.f64 (*.f64 x x) (*.f64 y y))
Rules
24 584×lower-fma.f64
24 584×lower-fma.f32
5 200×lower-+.f64
5 200×lower-+.f32
3 934×associate-+r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0515
0815
11615
22715
35315
411415
531515
656715
7123815
8249515
9412415
10499715
11536615
12559615
13571015
14571015
15667015
16683015
17715015
18715015
19755015
20771015
21779015
22779015
23779015
01026815
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y
Outputs
(-.f64 (*.f64 x x) (*.f64 y y))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(*.f64 x x)
x
(*.f64 y y)
y

localize14.0ms (0.3%)

Memory
20.1MiB live, 20.1MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 y y)
accuracy0
(*.f64 x x)
accuracy4.640606422471853
(-.f64 (*.f64 x x) (*.f64 y y))
Samples
10.0ms256×0valid
Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (65.6% of total)
ival-sub: 1.0ms (21.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
5.8MiB live, 5.8MiB allocated
Counts
3 → 48
Calls
Call 1
Inputs
#s(alt (-.f64 (*.f64 x x) (*.f64 y y)) (patch (-.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())
Outputs
#s(alt (pow x 2) (taylor 0 y) (#s(alt (-.f64 (*.f64 x x) (*.f64 y y)) (patch (-.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (-.f64 (*.f64 x x) (*.f64 y y)) (patch (-.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (-.f64 (*.f64 x x) (*.f64 y y)) (patch (-.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt (-.f64 (*.f64 x x) (*.f64 y y)) (patch (-.f64 (*.f64 x x) (*.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 (pow y 2)) (taylor inf y) (#s(alt (-.f64 (*.f64 x x) (*.f64 y y)) (patch (-.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) (taylor inf y) (#s(alt (-.f64 (*.f64 x x) (*.f64 y y)) (patch (-.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) (taylor inf y) (#s(alt (-.f64 (*.f64 x x) (*.f64 y y)) (patch (-.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) (taylor inf y) (#s(alt (-.f64 (*.f64 x x) (*.f64 y y)) (patch (-.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor -inf y) (#s(alt (-.f64 (*.f64 x x) (*.f64 y y)) (patch (-.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) (taylor -inf y) (#s(alt (-.f64 (*.f64 x x) (*.f64 y y)) (patch (-.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) (taylor -inf y) (#s(alt (-.f64 (*.f64 x x) (*.f64 y y)) (patch (-.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) (taylor -inf y) (#s(alt (-.f64 (*.f64 x x) (*.f64 y y)) (patch (-.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor -inf y) (#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor 0 x) (#s(alt (-.f64 (*.f64 x x) (*.f64 y y)) (patch (-.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) (pow y 2)) (taylor 0 x) (#s(alt (-.f64 (*.f64 x x) (*.f64 y y)) (patch (-.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) (pow y 2)) (taylor 0 x) (#s(alt (-.f64 (*.f64 x x) (*.f64 y y)) (patch (-.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) (pow y 2)) (taylor 0 x) (#s(alt (-.f64 (*.f64 x x) (*.f64 y y)) (patch (-.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (-.f64 (*.f64 x x) (*.f64 y y)) (patch (-.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt (-.f64 (*.f64 x x) (*.f64 y y)) (patch (-.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt (-.f64 (*.f64 x x) (*.f64 y y)) (patch (-.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt (-.f64 (*.f64 x x) (*.f64 y y)) (patch (-.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (-.f64 (*.f64 x x) (*.f64 y y)) (patch (-.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (-.f64 (*.f64 x x) (*.f64 y y)) (patch (-.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (-.f64 (*.f64 x x) (*.f64 y y)) (patch (-.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt (-.f64 (*.f64 x x) (*.f64 y y)) (patch (-.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@inf
((- (* x x) (* y y)) (* x x) (* y y))
1.0ms
y
@0
((- (* x x) (* y y)) (* x x) (* y y))
0.0ms
x
@inf
((- (* x x) (* y y)) (* x x) (* y y))
0.0ms
y
@-inf
((- (* x x) (* y y)) (* x x) (* y y))
0.0ms
x
@-inf
((- (* x x) (* y y)) (* x x) (* y y))

simplify335.0ms (7.8%)

Memory
-183.6MiB live, 156.9MiB allocated
Algorithm
1×egg-herbie
Rules
12 540×lower-fma.f64
12 540×lower-fma.f32
3 658×lower-*.f64
3 658×lower-*.f32
1 136×lower-neg.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017219
139219
2113219
3469219
41679219
52846219
65006219
08448219
Stop Event
1×iter limit
1×node limit
Counts
48 → 48
Calls
Call 1
Inputs
(pow x 2)
(+ (* -1 (pow y 2)) (pow x 2))
(+ (* -1 (pow y 2)) (pow x 2))
(+ (* -1 (pow y 2)) (pow x 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* -1 (pow y 2))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* -1 (pow y 2))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* -1 (pow y 2))
(- (pow x 2) (pow y 2))
(- (pow x 2) (pow y 2))
(- (pow x 2) (pow y 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
Outputs
(pow x 2)
(*.f64 x x)
(+ (* -1 (pow y 2)) (pow x 2))
(*.f64 (-.f64 x y) (+.f64 y x))
(+ (* -1 (pow y 2)) (pow x 2))
(*.f64 (-.f64 x y) (+.f64 y x))
(+ (* -1 (pow y 2)) (pow x 2))
(*.f64 (-.f64 x y) (+.f64 y x))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(*.f64 (-.f64 x y) (+.f64 y x))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(*.f64 (-.f64 x y) (+.f64 y x))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(*.f64 (-.f64 x y) (+.f64 y x))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(*.f64 (-.f64 x y) (+.f64 y x))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(*.f64 (-.f64 x y) (+.f64 y x))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(*.f64 (-.f64 x y) (+.f64 y x))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(- (pow x 2) (pow y 2))
(*.f64 (-.f64 x y) (+.f64 y x))
(- (pow x 2) (pow y 2))
(*.f64 (-.f64 x y) (+.f64 y x))
(- (pow x 2) (pow y 2))
(*.f64 (-.f64 x y) (+.f64 y x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(*.f64 (-.f64 x y) (+.f64 y x))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(*.f64 (-.f64 x y) (+.f64 y x))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(*.f64 (-.f64 x y) (+.f64 y x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(*.f64 (-.f64 x y) (+.f64 y x))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(*.f64 (-.f64 x y) (+.f64 y x))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(*.f64 (-.f64 x y) (+.f64 y x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

rewrite172.0ms (4%)

Memory
-8.7MiB live, 179.6MiB allocated
Rules
8 026×lower-fma.f64
8 026×lower-fma.f32
4 450×lower-/.f64
4 450×lower-/.f32
3 184×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0513
0813
13213
221613
3196713
0877813
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
3 → 252
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
(*.f64 y y)
Outputs
(*.f64 (pow.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 y y (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)))
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(fma.f64 (*.f64 y y) #s(literal -1 binary64) (*.f64 x x))
(fma.f64 y (neg.f64 y) (*.f64 x x))
(fma.f64 y (-.f64 x y) (*.f64 x (-.f64 x y)))
(fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (fma.f64 y y (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x)))))
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x)))))
(fma.f64 x (-.f64 x y) (*.f64 y (-.f64 x y)))
(fma.f64 x (+.f64 y x) (*.f64 (neg.f64 y) (+.f64 y x)))
(fma.f64 x x (*.f64 (neg.f64 y) y))
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))))) (/.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))))))
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))))))) (/.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))))))) (/.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))))))))
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (*.f64 (fma.f64 y y (*.f64 x x)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (pow.f64 y #s(literal 8 binary64)) (*.f64 (fma.f64 y y (*.f64 x x)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (*.f64 (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64))) (+.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (pow.f64 (*.f64 y x) #s(literal 6 binary64))))) (/.f64 (pow.f64 y #s(literal 18 binary64)) (*.f64 (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64))) (+.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (pow.f64 (*.f64 y x) #s(literal 6 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (*.f64 (fma.f64 y y (*.f64 x x)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))))) (/.f64 (pow.f64 y #s(literal 12 binary64)) (*.f64 (fma.f64 y y (*.f64 x x)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (*.f64 (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))))) (/.f64 (pow.f64 y #s(literal 12 binary64)) (*.f64 (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 y y (*.f64 x x)))) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (fma.f64 y y (*.f64 x x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (neg.f64 (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 y y (*.f64 x x))) (/.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 y y (*.f64 x x))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) (fma.f64 y y (*.f64 x x))) (/.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) (fma.f64 y y (*.f64 x x))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) (/.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) (/.f64 (/.f64 (pow.f64 y #s(literal 18 binary64)) (+.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (fma.f64 y (+.f64 y x) (*.f64 x x)))) (/.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (fma.f64 y (+.f64 y x) (*.f64 x x)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (fma.f64 y (+.f64 y x) (*.f64 x x)))) (/.f64 (/.f64 (pow.f64 y #s(literal 18 binary64)) (+.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (fma.f64 y (+.f64 y x) (*.f64 x x)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (fma.f64 y (+.f64 y x) (*.f64 x x)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (fma.f64 y (+.f64 y x) (*.f64 x x)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (/.f64 (pow.f64 y #s(literal 18 binary64)) (+.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) (*.f64 x x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (*.f64 x x) (*.f64 y y))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 y (-.f64 x y)) (*.f64 x (-.f64 x y)))
(+.f64 (*.f64 x (-.f64 x y)) (*.f64 y (-.f64 x y)))
(+.f64 (*.f64 x (+.f64 y x)) (*.f64 (neg.f64 y) (+.f64 y x)))
(+.f64 (*.f64 (-.f64 x y) y) (*.f64 (-.f64 x y) x))
(+.f64 (*.f64 (-.f64 x y) x) (*.f64 (-.f64 x y) y))
(+.f64 (*.f64 (+.f64 y x) x) (*.f64 (+.f64 y x) (neg.f64 y)))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (fma.f64 y y (*.f64 x x)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64))))))
(+.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 y) y))
(*.f64 x x)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 y y)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y))
(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))
(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)))

eval31.0ms (0.7%)

Memory
23.8MiB live, 60.1MiB allocated
Compiler

Compiled 8 583 to 756 computations (91.2% saved)

prune37.0ms (0.9%)

Memory
-28.8MiB live, 96.9MiB allocated
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New2973300
Fresh000
Picked101
Done000
Total2983301
Accuracy
100.0%
Counts
301 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(*.f64 (-.f64 x y) (+.f64 y x))
▶51.1%
#s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y))
▶55.6%
#s(approx (- (* x x) (* y y)) (*.f64 x x))
Compiler

Compiled 16 to 14 computations (12.5% saved)

simplify520.0ms (12.2%)

Memory
18.9MiB live, 305.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 y x)
cost-diff0
(-.f64 x y)
cost-diff0
(*.f64 (-.f64 x y) (+.f64 y x))
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 (neg.f64 y) y)
cost-diff0
#s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y))
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (- (* x x) (* y y)) (*.f64 x x))
Rules
31 184×lower-fma.f64
31 184×lower-fma.f32
7 084×lower-+.f32
7 082×lower-+.f64
3 784×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01349
01949
13749
26449
314449
428549
559049
6149049
7288349
8399149
9455849
10479749
11492749
12494949
13494949
14494949
0868349
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (- (* x x) (* y y)) (*.f64 x x))
(*.f64 x x)
x
#s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
(*.f64 (-.f64 x y) (+.f64 y x))
(-.f64 x y)
x
y
(+.f64 y x)
Outputs
#s(approx (- (* x x) (* y y)) (*.f64 x x))
(*.f64 x x)
x
#s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
(*.f64 (-.f64 x y) (+.f64 y x))
(*.f64 (+.f64 y x) (-.f64 x y))
(-.f64 x y)
x
y
(+.f64 y x)

localize35.0ms (0.8%)

Memory
-18.8MiB live, 51.9MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 x y)
accuracy0
(+.f64 y x)
accuracy0
(*.f64 (-.f64 x y) (+.f64 y x))
accuracy0
(*.f64 (neg.f64 y) y)
accuracy0
(neg.f64 y)
accuracy31.308289822273025
#s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y))
accuracy0
(*.f64 x x)
accuracy28.39390514278735
#s(approx (- (* x x) (* y y)) (*.f64 x x))
Samples
23.0ms256×0valid
Compiler

Compiled 42 to 12 computations (71.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 6.0ms (52.9% of total)
ival-sub: 2.0ms (17.6% of total)
ival-add: 1.0ms (8.8% of total)
ival-neg: 1.0ms (8.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.2%)

Memory
18.0MiB live, 18.0MiB allocated
Counts
8 → 156
Calls
Call 1
Inputs
#s(alt #s(approx (- (* x x) (* y y)) (*.f64 x x)) (patch #s(approx (- (* x x) (* y y)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt #s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y)) (patch #s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y)) #<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) (+.f64 y x)) (patch (*.f64 (-.f64 x y) (+.f64 y x)) #<representation binary64>) () ())
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())
Outputs
#s(alt (pow x 2) (taylor 0 y) (#s(alt #s(approx (- (* x x) (* y y)) (*.f64 x x)) (patch #s(approx (- (* x x) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (- (* x x) (* y y)) (*.f64 x x)) (patch #s(approx (- (* x x) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (- (* x x) (* y y)) (*.f64 x x)) (patch #s(approx (- (* x x) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (- (* x x) (* y y)) (*.f64 x x)) (patch #s(approx (- (* x x) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 y) (#s(alt #s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y)) (patch #s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y)) (patch #s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y)) (patch #s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow y 2)) (pow x 2)) (taylor 0 y) (#s(alt #s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y)) (patch #s(approx (- (* x x) (* y y)) (*.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 (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 (pow x 2) (taylor 0 y) (#s(alt (*.f64 (-.f64 x y) (+.f64 y x)) (patch (*.f64 (-.f64 x y) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ x (* -1 x))) (pow x 2)) (taylor 0 y) (#s(alt (*.f64 (-.f64 x y) (+.f64 y x)) (patch (*.f64 (-.f64 x y) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) (taylor 0 y) (#s(alt (*.f64 (-.f64 x y) (+.f64 y x)) (patch (*.f64 (-.f64 x y) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2)) (taylor 0 y) (#s(alt (*.f64 (-.f64 x y) (+.f64 y x)) (patch (*.f64 (-.f64 x y) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (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 (pow y 2)) (taylor inf y) (#s(alt #s(approx (- (* x x) (* y y)) (*.f64 x x)) (patch #s(approx (- (* x x) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) (taylor inf y) (#s(alt #s(approx (- (* x x) (* y y)) (*.f64 x x)) (patch #s(approx (- (* x x) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) (taylor inf y) (#s(alt #s(approx (- (* x x) (* y y)) (*.f64 x x)) (patch #s(approx (- (* x x) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) (taylor inf y) (#s(alt #s(approx (- (* x x) (* y y)) (*.f64 x x)) (patch #s(approx (- (* x x) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor inf y) (#s(alt #s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y)) (patch #s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) (taylor inf y) (#s(alt #s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y)) (patch #s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) (taylor inf y) (#s(alt #s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y)) (patch #s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) (taylor inf y) (#s(alt #s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y)) (patch #s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor inf y) (#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor inf y) (#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor inf y) (#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor inf y) (#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor inf y) (#s(alt (*.f64 (-.f64 x y) (+.f64 y x)) (patch (*.f64 (-.f64 x y) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1)) (taylor inf y) (#s(alt (*.f64 (-.f64 x y) (+.f64 y x)) (patch (*.f64 (-.f64 x y) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1)) (taylor inf y) (#s(alt (*.f64 (-.f64 x y) (+.f64 y x)) (patch (*.f64 (-.f64 x y) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1)) (taylor inf y) (#s(alt (*.f64 (-.f64 x y) (+.f64 y x)) (patch (*.f64 (-.f64 x y) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor -inf y) (#s(alt #s(approx (- (* x x) (* y y)) (*.f64 x x)) (patch #s(approx (- (* x x) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) (taylor -inf y) (#s(alt #s(approx (- (* x x) (* y y)) (*.f64 x x)) (patch #s(approx (- (* x x) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) (taylor -inf y) (#s(alt #s(approx (- (* x x) (* y y)) (*.f64 x x)) (patch #s(approx (- (* x x) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) (taylor -inf y) (#s(alt #s(approx (- (* x x) (* y y)) (*.f64 x x)) (patch #s(approx (- (* x x) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor -inf y) (#s(alt #s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y)) (patch #s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) (taylor -inf y) (#s(alt #s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y)) (patch #s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) (taylor -inf y) (#s(alt #s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y)) (patch #s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1)) (taylor -inf y) (#s(alt #s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y)) (patch #s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (-.f64 x y) (+.f64 y x)) (patch (*.f64 (-.f64 x y) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1)) (taylor -inf y) (#s(alt (*.f64 (-.f64 x y) (+.f64 y x)) (patch (*.f64 (-.f64 x y) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1)) (taylor -inf y) (#s(alt (*.f64 (-.f64 x y) (+.f64 y x)) (patch (*.f64 (-.f64 x y) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1)) (taylor -inf y) (#s(alt (*.f64 (-.f64 x y) (+.f64 y x)) (patch (*.f64 (-.f64 x y) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor 0 x) (#s(alt #s(approx (- (* x x) (* y y)) (*.f64 x x)) (patch #s(approx (- (* x x) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) (pow y 2)) (taylor 0 x) (#s(alt #s(approx (- (* x x) (* y y)) (*.f64 x x)) (patch #s(approx (- (* x x) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) (pow y 2)) (taylor 0 x) (#s(alt #s(approx (- (* x x) (* y y)) (*.f64 x x)) (patch #s(approx (- (* x x) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) (pow y 2)) (taylor 0 x) (#s(alt #s(approx (- (* x x) (* y y)) (*.f64 x x)) (patch #s(approx (- (* x x) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor 0 x) (#s(alt #s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y)) (patch #s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) (pow y 2)) (taylor 0 x) (#s(alt #s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y)) (patch #s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) (pow y 2)) (taylor 0 x) (#s(alt #s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y)) (patch #s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) (pow y 2)) (taylor 0 x) (#s(alt #s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y)) (patch #s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow y 2)) (taylor 0 x) (#s(alt (*.f64 (-.f64 x y) (+.f64 y x)) (patch (*.f64 (-.f64 x y) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow y 2)) (* x (+ y (* -1 y)))) (taylor 0 x) (#s(alt (*.f64 (-.f64 x y) (+.f64 y x)) (patch (*.f64 (-.f64 x y) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y))))) (taylor 0 x) (#s(alt (*.f64 (-.f64 x y) (+.f64 y x)) (patch (*.f64 (-.f64 x y) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y))))) (taylor 0 x) (#s(alt (*.f64 (-.f64 x y) (+.f64 y x)) (patch (*.f64 (-.f64 x y) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 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 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 (pow x 2) (taylor inf x) (#s(alt #s(approx (- (* x x) (* y y)) (*.f64 x x)) (patch #s(approx (- (* x x) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt #s(approx (- (* x x) (* y y)) (*.f64 x x)) (patch #s(approx (- (* x x) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt #s(approx (- (* x x) (* y y)) (*.f64 x x)) (patch #s(approx (- (* x x) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt #s(approx (- (* x x) (* y y)) (*.f64 x x)) (patch #s(approx (- (* x x) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt #s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y)) (patch #s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt #s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y)) (patch #s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt #s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y)) (patch #s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) (taylor inf x) (#s(alt #s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y)) (patch #s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 (-.f64 x y) (+.f64 y x)) (patch (*.f64 (-.f64 x y) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) (taylor inf x) (#s(alt (*.f64 (-.f64 x y) (+.f64 y x)) (patch (*.f64 (-.f64 x y) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) (taylor inf x) (#s(alt (*.f64 (-.f64 x y) (+.f64 y x)) (patch (*.f64 (-.f64 x y) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x))))) (taylor inf x) (#s(alt (*.f64 (-.f64 x y) (+.f64 y x)) (patch (*.f64 (-.f64 x y) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (- (* x x) (* y y)) (*.f64 x x)) (patch #s(approx (- (* x x) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (- (* x x) (* y y)) (*.f64 x x)) (patch #s(approx (- (* x x) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (- (* x x) (* y y)) (*.f64 x x)) (patch #s(approx (- (* x x) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (- (* x x) (* y y)) (*.f64 x x)) (patch #s(approx (- (* x x) (* y y)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y)) (patch #s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y)) (patch #s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y)) (patch #s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y)) (patch #s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 (-.f64 x y) (+.f64 y x)) (patch (*.f64 (-.f64 x y) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x y) (+.f64 y x)) (patch (*.f64 (-.f64 x y) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x y) (+.f64 y x)) (patch (*.f64 (-.f64 x y) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x y) (+.f64 y x)) (patch (*.f64 (-.f64 x y) (+.f64 y x)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
Calls

6 calls:

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

simplify206.0ms (4.8%)

Memory
3.4MiB live, 158.7MiB allocated
Algorithm
1×egg-herbie
Rules
15 540×lower-fma.f64
15 540×lower-fma.f32
2 570×lower--.f64
2 570×lower--.f32
2 510×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
092651
1281651
2829651
33560651
08744651
Stop Event
1×iter limit
1×node limit
Counts
156 → 147
Calls
Call 1
Inputs
(pow x 2)
(+ (* -1 (pow y 2)) (pow x 2))
(+ (* -1 (pow y 2)) (pow x 2))
(+ (* -1 (pow y 2)) (pow x 2))
(pow x 2)
(+ (* -1 (pow y 2)) (pow x 2))
(+ (* -1 (pow y 2)) (pow x 2))
(+ (* -1 (pow y 2)) (pow x 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)
(pow x 2)
(+ (* y (+ x (* -1 x))) (pow x 2))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
x
(+ x y)
(+ x y)
(+ x y)
(* -1 (pow y 2))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(* -1 (pow y 2))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(* -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 (pow y 2))
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* -1 (pow y 2))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(* -1 (pow y 2))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(* -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 (pow y 2))
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (pow y 2))
(- (pow x 2) (pow y 2))
(- (pow x 2) (pow y 2))
(- (pow x 2) (pow y 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1 (pow y 2))
(- (pow x 2) (pow y 2))
(- (pow x 2) (pow y 2))
(- (pow x 2) (pow y 2))
(* -1 (pow y 2))
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
(* -1 y)
(- x y)
(- x y)
(- x y)
y
(+ x y)
(+ x y)
(+ x y)
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
Outputs
(pow x 2)
(*.f64 x x)
(+ (* -1 (pow y 2)) (pow x 2))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(+ (* -1 (pow y 2)) (pow x 2))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(+ (* -1 (pow y 2)) (pow x 2))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(+ (* -1 (pow y 2)) (pow x 2))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(+ (* -1 (pow y 2)) (pow x 2))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(+ (* -1 (pow y 2)) (pow x 2))
(fma.f64 (neg.f64 y) y (*.f64 x 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)
(pow x 2)
(*.f64 x x)
(+ (* y (+ x (* -1 x))) (pow x 2))
(*.f64 x x)
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(fma.f64 (neg.f64 y) y (*.f64 x x))
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(fma.f64 (neg.f64 y) y (*.f64 x 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)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(*.f64 (neg.f64 y) y)
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(* -1 y)
(neg.f64 y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
y
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(fma.f64 (neg.f64 y) y (*.f64 x 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)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))
(*.f64 (neg.f64 y) y)
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(- (pow x 2) (pow y 2))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(- (pow x 2) (pow y 2))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(- (pow x 2) (pow y 2))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(- (pow x 2) (pow y 2))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(- (pow x 2) (pow y 2))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(- (pow x 2) (pow y 2))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))
(*.f64 (neg.f64 y) y)
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
y
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
(fma.f64 (neg.f64 y) y (*.f64 x x))
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
x
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(fma.f64 (neg.f64 y) y (*.f64 x x))
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)

rewrite221.0ms (5.2%)

Memory
8.0MiB live, 163.4MiB allocated
Rules
4 964×lower-fma.f64
4 964×lower-fma.f32
3 312×lower-*.f32
3 306×lower-*.f64
2 364×lower-/.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01345
01945
17045
251145
3676336
0929036
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
8 → 733
Calls
Call 1
Inputs
#s(approx (- (* x x) (* y y)) (*.f64 x x))
(*.f64 x x)
#s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
(*.f64 (-.f64 x y) (+.f64 y x))
(-.f64 x y)
(+.f64 y x)
Outputs
#s(approx (- (* x x) (* y y)) (*.f64 x x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(approx (- (* x x) (* y y)) (*.f64 y y))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 #s(literal 1 binary64) (*.f64 y y))
(*.f64 #s(literal -1 binary64) (*.f64 y y))
(*.f64 (*.f64 y y) #s(literal 1 binary64))
(*.f64 (*.f64 y y) #s(literal -1 binary64))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 y y) #s(literal 0 binary64)))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) #s(literal 0 binary64)))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 y y)))))
(/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 y y))
(/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 y y)))))
(/.f64 (pow.f64 y #s(literal 3 binary64)) y)
(neg.f64 (*.f64 y y))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 y y) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 y y) #s(literal 0 binary64))
(fma.f64 (*.f64 y y) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 y y) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 y y #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 y y))
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.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)))
(+.f64 #s(literal 0 binary64) (*.f64 y y))
(+.f64 (*.f64 y y) #s(literal 0 binary64))
(*.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) y)
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y y) #s(literal -1 binary64)))
(*.f64 (*.f64 y y) (pow.f64 y #s(literal -1 binary64)))
(*.f64 y (/.f64 y y))
(*.f64 y #s(literal -1 binary64))
(pow.f64 (pow.f64 y #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 y y) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 y (*.f64 y y)) #s(literal -1 binary64))
(pow.f64 y #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (pow.f64 y #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y y)))
(/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) #s(literal 0 binary64))))
(/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y y))
(/.f64 (*.f64 y y) y)
(neg.f64 y)
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) y #s(literal 0 binary64))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y y) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 y y) (pow.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 y (/.f64 y y) #s(literal 0 binary64))
(fma.f64 y #s(literal -1 binary64) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) y)
(-.f64 (/.f64 #s(literal 0 binary64) y) y)
(-.f64 #s(literal 0 binary64) y)
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) y)
(+.f64 y #s(literal 0 binary64))
y
(*.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 (-.f64 x y) y (*.f64 x x)) #s(literal 2 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 x y)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 x y) x) #s(literal 2 binary64)))) (fma.f64 y y (*.f64 (-.f64 y x) x)))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 x y)) (+.f64 (pow.f64 (*.f64 (-.f64 x y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 x y) x) (fma.f64 (-.f64 x y) y (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 x y)) (pow.f64 (fma.f64 (-.f64 x y) y (*.f64 x x)) #s(literal 2 binary64))) (fma.f64 (-.f64 x y) y (*.f64 x x)))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 x y)) (+.f64 (pow.f64 (*.f64 (-.f64 x y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 x y) y) (-.f64 (*.f64 (-.f64 x y) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 x y) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 x y) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y y (*.f64 (-.f64 y x) x)))
(*.f64 (/.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 y x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 x y) y (*.f64 x x)))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64)))) (-.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (fma.f64 (-.f64 x y) y (*.f64 x x)) #s(literal 2 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (pow.f64 (fma.f64 (-.f64 x y) y (*.f64 x x)) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (-.f64 x y) y (*.f64 x x)) #s(literal 2 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 x y) y) #s(literal 6 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (pow.f64 (*.f64 (-.f64 x y) y) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 x y) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(*.f64 (/.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 x y))) (fma.f64 (-.f64 x y) y (*.f64 x x)))
(*.f64 (/.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 y x))) (-.f64 y x))
(*.f64 (/.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 x y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 x y) y) #s(literal 3 binary64)))) (-.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) y) x)))
(*.f64 (/.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (pow.f64 (fma.f64 (-.f64 x y) y (*.f64 x x)) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 x y) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (neg.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) (-.f64 y x))
(*.f64 (/.f64 (*.f64 (-.f64 x y) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 x y) y (*.f64 x x)))
(*.f64 (/.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (pow.f64 (fma.f64 (-.f64 x y) y (*.f64 x x)) #s(literal 2 binary64)))
(*.f64 (*.f64 (-.f64 x y) (/.f64 (-.f64 x y) (-.f64 y x))) (-.f64 y x))
(*.f64 (*.f64 (-.f64 x y) (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (fma.f64 (-.f64 x y) y (*.f64 x x)))
(*.f64 (/.f64 (-.f64 x y) (neg.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (pow.f64 (-.f64 y x) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (pow.f64 (fma.f64 (-.f64 x y) y (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 x y) (-.f64 y x)) (/.f64 (-.f64 x y) (pow.f64 (-.f64 y x) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 x y) (-.f64 y x)) (neg.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64))))
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(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y y (*.f64 (-.f64 y x) x)) (neg.f64 (*.f64 y (/.f64 y (-.f64 y x)))))
(fma.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 y x)))))
(fma.f64 (/.f64 (*.f64 x x) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (-.f64 x y) (neg.f64 (*.f64 y (/.f64 y (-.f64 y x)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 x y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 x y) y) (-.f64 (*.f64 (-.f64 x y) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 (-.f64 y x) x)))))
(fma.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y y (*.f64 (-.f64 y x) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))))
(fma.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 x y) y (*.f64 x x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))))
(fma.f64 (/.f64 (*.f64 y y) #s(literal 1 binary64)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))))
(fma.f64 (/.f64 (*.f64 y y) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (-.f64 x y) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) y))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) y)
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64)) (neg.f64 (neg.f64 x)))
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64)) x)
(fma.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 x (pow.f64 (fma.f64 (-.f64 x y) y (*.f64 x x)) #s(literal -1 binary64))) (neg.f64 (*.f64 y (/.f64 y (-.f64 y x)))))
(fma.f64 (/.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 y (pow.f64 (fma.f64 (-.f64 x y) y (*.f64 x x)) #s(literal -1 binary64))) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))))
(fma.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 x y) y (*.f64 x x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))))
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 x y) y (*.f64 x x)) (neg.f64 (*.f64 y (/.f64 y (-.f64 y x)))))
(fma.f64 (/.f64 (*.f64 y y) (neg.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) (-.f64 y x) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))))
(fma.f64 (/.f64 (*.f64 y y) (neg.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) (-.f64 x y) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))))
(fma.f64 (/.f64 (*.f64 x x) (neg.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) (-.f64 y x) (neg.f64 (*.f64 y (/.f64 y (-.f64 y x)))))
(fma.f64 (/.f64 x (neg.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) (/.f64 x (pow.f64 (-.f64 y x) #s(literal -1 binary64))) (neg.f64 (*.f64 y (/.f64 y (-.f64 y x)))))
(fma.f64 (/.f64 y (neg.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) (/.f64 y (pow.f64 (-.f64 y x) #s(literal -1 binary64))) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))))
(fma.f64 (/.f64 (-.f64 x y) (-.f64 y x)) y (*.f64 (/.f64 (-.f64 x y) (-.f64 y x)) (neg.f64 x)))
(fma.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (-.f64 x y) x) (*.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 y y)))
(fma.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 y y) (*.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (-.f64 x y) x)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (-.f64 x y) y (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 (-.f64 y x) x)))))
(fma.f64 (*.f64 (-.f64 x y) x) (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (*.f64 y y) (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(fma.f64 #s(literal -1 binary64) y (neg.f64 (neg.f64 x)))
(fma.f64 #s(literal -1 binary64) y x)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (-.f64 x y) y (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 (-.f64 y x) x)))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y y) #s(literal -1 binary64)) (neg.f64 (neg.f64 x)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y y) #s(literal -1 binary64)) x)
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 x y) y (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 (-.f64 y x) x)))))
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 y x)))))
(fma.f64 (*.f64 y y) (pow.f64 y #s(literal -1 binary64)) (neg.f64 (neg.f64 x)))
(fma.f64 (*.f64 y y) (pow.f64 y #s(literal -1 binary64)) x)
(fma.f64 (*.f64 y y) (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (*.f64 (-.f64 x y) x) (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(fma.f64 (*.f64 y y) (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))))
(fma.f64 (*.f64 y y) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))))
(fma.f64 y (/.f64 y (-.f64 y x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))))
(fma.f64 y (/.f64 y y) (neg.f64 (neg.f64 x)))
(fma.f64 y (/.f64 y y) x)
(fma.f64 y (/.f64 y (-.f64 x y)) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))))
(fma.f64 y (/.f64 (-.f64 x y) (-.f64 y x)) (*.f64 (neg.f64 x) (/.f64 (-.f64 x y) (-.f64 y x))))
(fma.f64 y #s(literal -1 binary64) (neg.f64 (neg.f64 x)))
(fma.f64 y #s(literal -1 binary64) x)
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 (-.f64 x y) y (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 (-.f64 y x) x)))))
(fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 y x)))))
(-.f64 (-.f64 x #s(literal 0 binary64)) y)
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (-.f64 x y) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 x y) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (-.f64 x y))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (-.f64 x y))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (-.f64 x y)) (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) (-.f64 x y)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 (-.f64 x y) y (*.f64 x x)) #s(literal 2 binary64))) (-.f64 x y)) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (fma.f64 (-.f64 x y) y (*.f64 x x)) #s(literal 2 binary64))) (-.f64 x y)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 (-.f64 y x) x))))
(-.f64 (*.f64 y (/.f64 y (-.f64 y x))) (*.f64 x (/.f64 x (-.f64 y x))))
(-.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 y x))))
(-.f64 #s(literal 0 binary64) (-.f64 y x))
(-.f64 x y)
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 y (/.f64 (-.f64 x y) (-.f64 y x))) (*.f64 (neg.f64 x) (/.f64 (-.f64 x y) (-.f64 y x))))
(+.f64 (*.f64 (*.f64 (-.f64 x y) x) (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (*.f64 y y) (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(+.f64 (*.f64 (*.f64 y y) (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (*.f64 (-.f64 x y) x) (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(+.f64 (*.f64 (/.f64 (-.f64 x y) (-.f64 y x)) y) (*.f64 (/.f64 (-.f64 x y) (-.f64 y x)) (neg.f64 x)))
(+.f64 (*.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (-.f64 x y) x)) (*.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 y y)))
(+.f64 (*.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 y y)) (*.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (-.f64 x y) x)))
(+.f64 (-.f64 x #s(literal 0 binary64)) y)
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) y (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 (-.f64 y x) x)))))
(+.f64 (*.f64 y (/.f64 y (-.f64 y x))) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))))
(+.f64 (*.f64 x (/.f64 x (-.f64 x y))) (neg.f64 (*.f64 y (/.f64 y (-.f64 y x)))))
(+.f64 #s(literal 0 binary64) (-.f64 x y))
(+.f64 y (neg.f64 (neg.f64 x)))
(+.f64 y x)
(+.f64 x (*.f64 #s(literal 1 binary64) y))
(+.f64 x y)

eval136.0ms (3.2%)

Memory
3.4MiB live, 159.6MiB allocated
Compiler

Compiled 17 707 to 1 561 computations (91.2% saved)

prune149.0ms (3.5%)

Memory
13.4MiB live, 179.0MiB allocated
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New8800880
Fresh000
Picked033
Done000
Total8803883
Accuracy
100.0%
Counts
883 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(*.f64 (-.f64 x y) (+.f64 y x))
✓51.1%
#s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y))
✓55.6%
#s(approx (- (* x x) (* y y)) (*.f64 x x))
Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes13.0ms (0.3%)

Memory
-25.5MiB live, 19.8MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (- (* x x) (* y y)) (*.f64 x x))
#s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y))
(*.f64 (-.f64 x y) (+.f64 y x))
(-.f64 (*.f64 x x) (*.f64 y y))
Outputs
(*.f64 (-.f64 x y) (+.f64 y x))
Calls

5 calls:

5.0ms
(*.f64 y y)
2.0ms
x
2.0ms
y
2.0ms
(-.f64 (*.f64 x x) (*.f64 y y))
2.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(-.f64 (*.f64 x x) (*.f64 y y))
100.0%1(*.f64 x x)
100.0%1(*.f64 y y)
Compiler

Compiled 15 to 15 computations (0% saved)

regimes10.0ms (0.2%)

Memory
-12.7MiB live, 24.6MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (- (* x x) (* y y)) (*.f64 x x))
#s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y))
Outputs
#s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y))
#s(approx (- (* x x) (* y y)) (*.f64 x x))
Calls

5 calls:

4.0ms
x
2.0ms
y
1.0ms
(*.f64 y y)
1.0ms
(-.f64 (*.f64 x x) (*.f64 y y))
1.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
78.3%2x
76.9%2y
95.8%2(-.f64 (*.f64 x x) (*.f64 y y))
78.3%2(*.f64 x x)
76.9%2(*.f64 y y)
Compiler

Compiled 15 to 15 computations (0% saved)

regimes7.0ms (0.2%)

Memory
19.8MiB live, 19.8MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

5 calls:

1.0ms
x
1.0ms
y
1.0ms
(-.f64 (*.f64 x x) (*.f64 y y))
1.0ms
(*.f64 x x)
1.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
55.6%1y
55.6%1(*.f64 y y)
55.6%1x
55.6%1(*.f64 x x)
55.6%1(-.f64 (*.f64 x x) (*.f64 y y))
Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-3.1684e-319
0.0
Compiler

Compiled 10 to 10 computations (0% saved)

simplify48.0ms (1.1%)

Memory
11.5MiB live, 49.3MiB allocated
Algorithm
1×egg-herbie
Rules
10×+-commutative-binary64-+.f64
8×*-commutative-binary64-*.f64
8×sub-neg-binary64-neg.f64-+.f64--.f64
4×neg-sub0-binary64--.f64-neg.f64
4×neg-mul-1-binary64-*.f64-neg.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01851
12951
23551
33851
43951
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (-.f64 x y) (+.f64 y x))
(if (<=.f64 (-.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1265/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712 binary64)) #s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y)) #s(approx (- (* x x) (* y y)) (*.f64 x x)))
#s(approx (- (* x x) (* y y)) (*.f64 x x))
Outputs
(*.f64 (-.f64 x y) (+.f64 y x))
(*.f64 (+.f64 y x) (-.f64 x y))
(if (<=.f64 (-.f64 (*.f64 x x) (*.f64 y y)) #s(literal -1265/6325070415853456823515479584966165845298645305129441198653167438357198111499854590373761990669910140474596183259900372230931523043306046152094168748148078435047419508642698792639590866940413010663742739952273283392562733857021646831815729864036236135650314266011211548510419206725953204130822734645187695728365866909171712 binary64)) #s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y)) #s(approx (- (* x x) (* y y)) (*.f64 x x)))
#s(approx (- (* x x) (* y y)) (*.f64 x x))

soundness420.0ms (9.8%)

Memory
-14.7MiB live, 266.7MiB allocated
Rules
12 540×lower-fma.f64
12 540×lower-fma.f32
8 026×lower-fma.f64
8 026×lower-fma.f32
4 450×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017219
139219
2113219
3469219
41679219
52846219
65006219
08448219
0513
0813
13213
221613
3196713
0877813
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 54 to 33 computations (38.9% saved)

preprocess209.0ms (4.9%)

Memory
13.4MiB live, 50.3MiB allocated
Remove

(abs x)

(abs y)

Compiler

Compiled 130 to 80 computations (38.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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