Linear.Projection:perspective from linear-1.19.1.3, B

Time bar (total: 6.0s)

analyze12.0ms (0.2%)

Memory
17.9MiB live, 17.9MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 11 to 9 computations (18.2% saved)

sample1.1s (18.3%)

Memory
-6.6MiB live, 893.8MiB allocated
Samples
783.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 506.0ms
ival-mult: 182.0ms (36% of total)
ival-sub: 170.0ms (33.6% of total)
ival-div: 141.0ms (27.9% of total)
ival-true: 5.0ms (1% of total)
exact: 4.0ms (0.8% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

preprocess196.0ms (3.3%)

Memory
13.5MiB live, 136.0MiB allocated
Algorithm
2×egg-herbie
Rules
858×associate-*l*
840×times-frac
812×times-frac
802×distribute-lft-in
744×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02262
16954
223654
384254
4247154
5307754
6324354
7325754
8327254
9327754
10327754
11348154
12357754
13357754
14368154
15436554
079
1159
2369
3609
4809
51449
63069
76769
815449
923909
1024079
1124219
1224339
1324339
024339
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(/ (* (* x 2) y) (- x y))
Outputs
(/ (* (* x 2) y) (- x y))
(fma.f64 y (fma.f64 x (/.f64 #s(literal 2 binary64) (-.f64 x y)) #s(literal 0 binary64)) #s(literal 0 binary64))
Call 2
Inputs
(/ (* (* x 2) y) (- x y))
(/ (* (* (neg x) 2) y) (- (neg x) y))
(/ (* (* x 2) (neg y)) (- x (neg y)))
(neg (/ (* (* (neg x) 2) y) (- (neg x) y)))
(neg (/ (* (* x 2) (neg y)) (- x (neg y))))
(/ (* (* y 2) x) (- y x))
Outputs
(/ (* (* x 2) y) (- x y))
(* x (* 2 (/ y (- x y))))
(/ (* (* (neg x) 2) y) (- (neg x) y))
(* x (* 2 (/ y (+ x y))))
(/ (* (* x 2) (neg y)) (- x (neg y)))
(* x (* (/ y (+ x y)) -2))
(neg (/ (* (* (neg x) 2) y) (- (neg x) y)))
(* x (* (/ y (+ x y)) -2))
(neg (/ (* (* x 2) (neg y)) (- x (neg y))))
(* x (* 2 (/ y (+ x y))))
(/ (* (* y 2) x) (- y x))
(* x (* 2 (/ y (- y x))))

explain193.0ms (3.2%)

Memory
-16.5MiB live, 144.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
620-2(-1.8481527060548063e-43 9.03120110421209e-282)(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
00-0-(*.f64 x #s(literal 2 binary64))
00-0-#s(literal 2 binary64)
00-0-y
00-0-(-.f64 x y)
00-0-(*.f64 (*.f64 x #s(literal 2 binary64)) y)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y))o/n370
↳(*.f64 (*.f64 x #s(literal 2 binary64)) y)overflow37
/.f64(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y))u/n230
↳(*.f64 (*.f64 x #s(literal 2 binary64)) y)underflow23
Confusion
Predicted +Predicted -
+602
-0194
Precision
1.0
Recall
0.967741935483871
Confusion?
Predicted +Predicted MaybePredicted -
+6002
-00194
Precision?
1.0
Recall?
0.967741935483871
Freqs
test
numberfreq
0196
160
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
32.0ms512×0valid
Compiler

Compiled 72 to 32 computations (55.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 12.0ms (62.9% of total)
ival-sub: 3.0ms (15.7% of total)
ival-div: 3.0ms (15.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶77.4%
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify69.0ms (1.2%)

Memory
29.7MiB live, 68.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff-64
(*.f64 x #s(literal 2 binary64))
✓cost-diff-64
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
✓cost-diff0
(-.f64 x y)
✓cost-diff0
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
Rules
840×times-frac
672×accelerator-lowering-fma.f32
672×accelerator-lowering-fma.f64
640×*-lowering-*.f32
640×*-lowering-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0723
11523
23623
36023
48023
514423
630623
767623
8154423
9239023
10240723
11242123
12243323
13243323
0243323
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ (* (* x 2) y) (- x y))
(* (* x 2) y)
(* x 2)
x
2
y
(- x y)
Outputs
(/ (* (* x 2) y) (- x y))
(fma.f64 y (fma.f64 x (/.f64 #s(literal 2 binary64) (-.f64 x y)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (* x 2) y)
(fma.f64 #s(literal 2 binary64) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x 2)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
x
2
#s(literal 2 binary64)
y
(- x y)
(-.f64 x y)

localize87.0ms (1.4%)

Memory
-43.9MiB live, 44.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 x y)
✓accuracy100.0%
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
✓accuracy100.0%
(*.f64 x #s(literal 2 binary64))
✓accuracy77.4%
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
Samples
54.0ms256×0valid
Compiler

Compiled 25 to 9 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (47.2% of total)
ival-div: 2.0ms (31.5% of total)
ival-sub: 1.0ms (15.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
13.6MiB live, 13.6MiB allocated
Counts
4 → 84
Calls
Call 1
Inputs
#<alt (/ (* (* x 2) y) (- x y))>
#<alt (- x y)>
#<alt (* (* x 2) y)>
#<alt (* x 2)>
Outputs
#<alt (* -2 x)>
#<alt (* x (- (* -2 (/ x y)) 2))>
#<alt (* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2))>
#<alt (* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2))>
#<alt (* 2 y)>
#<alt (+ (* 2 y) (* 2 (/ (pow y 2) x)))>
#<alt (+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2)))))>
#<alt (+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3))))))>
#<alt (* 2 y)>
#<alt (+ (* 2 y) (* 2 (/ (pow y 2) x)))>
#<alt (+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y))>
#<alt (+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y))>
#<alt (* 2 y)>
#<alt (* y (+ 2 (* 2 (/ y x))))>
#<alt (* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))>
#<alt (* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))>
#<alt (* -2 x)>
#<alt (+ (* -2 x) (* -2 (/ (pow x 2) y)))>
#<alt (+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))>
#<alt (+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3))))))>
#<alt (* -2 x)>
#<alt (+ (* -2 x) (* -2 (/ (pow x 2) y)))>
#<alt (+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)))>
#<alt (+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y)))>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 (* x y))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
Calls

21 calls:

TimeVariablePointExpression
1.0ms
x
@0
(* (* x 2) y)
1.0ms
x
@inf
(/ (* (* x 2) y) (- x y))
0.0ms
y
@inf
(/ (* (* x 2) y) (- x y))
0.0ms
x
@0
(/ (* (* x 2) y) (- x y))
0.0ms
y
@inf
(* (* x 2) y)

rewrite333.0ms (5.6%)

Memory
23.5MiB live, 728.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 632×/-lowering-/.f32
5 632×/-lowering-/.f64
3 830×*-lowering-*.f32
3 830×*-lowering-*.f64
2 056×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0720
13620
224620
3274720
0920220
Stop Event
1×iter limit
1×node limit
Counts
4 → 405
Calls
Call 1
Inputs
(/ (* (* x 2) y) (- x y))
(- x y)
(* (* x 2) y)
(* x 2)
Outputs
(+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 x x)) (*.f64 (/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 y (+.f64 x y))))
(+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 y (+.f64 x y))) (*.f64 (/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (fma.f64 x x (*.f64 y y))) (*.f64 (/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 x y)))
(+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) (*.f64 (-.f64 x y) (+.f64 x y))) x) (*.f64 (/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) (*.f64 (-.f64 x y) (+.f64 x y))) y))
(+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) (*.f64 (-.f64 x y) (+.f64 x y))) y) (*.f64 (/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) (*.f64 (-.f64 x y) (+.f64 x y))) x))
(+.f64 (*.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y (+.f64 x y)) (/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))))
(+.f64 (*.f64 (*.f64 y (+.f64 x y)) (/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))))
(+.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 x y) (/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))))
(+.f64 (*.f64 x (/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) (*.f64 (-.f64 x y) (+.f64 x y)))) (*.f64 y (/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) (*.f64 (-.f64 x y) (+.f64 x y)))))
(+.f64 (*.f64 y (/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) (*.f64 (-.f64 x y) (+.f64 x y)))) (*.f64 x (/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) (*.f64 (-.f64 x y) (+.f64 x y)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) (*.f64 x (*.f64 #s(literal 2 binary64) y)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) (-.f64 y x)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 x y)) (/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) (-.f64 y x)))
(fma.f64 x (/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) (*.f64 (-.f64 x y) (+.f64 x y))) (*.f64 y (/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) (*.f64 (-.f64 x y) (+.f64 x y)))))
(fma.f64 y (/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) (*.f64 (-.f64 x y) (+.f64 x y))) (*.f64 x (/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) (*.f64 (-.f64 x y) (+.f64 x y)))))
(fma.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y (+.f64 x y)) (/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))))
(fma.f64 (*.f64 y (+.f64 x y)) (/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x x) (/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))))
(fma.f64 (fma.f64 x x (*.f64 y y)) (/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x y) (/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))))
(fma.f64 (/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 x x) (*.f64 (/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 y (+.f64 x y))))
(fma.f64 (/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 y (+.f64 x y)) (*.f64 (/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 x x)))
(fma.f64 (/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (fma.f64 x x (*.f64 y y)) (*.f64 (/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (*.f64 x y)))
(fma.f64 (/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) (*.f64 (-.f64 x y) (+.f64 x y))) x (*.f64 (/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) (*.f64 (-.f64 x y) (+.f64 x y))) y))
(fma.f64 (/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) (*.f64 (-.f64 x y) (+.f64 x y))) y (*.f64 (/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) (*.f64 (-.f64 x y) (+.f64 x y))) x))
(neg.f64 (/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) (-.f64 y x)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) (-.f64 y x))))
(/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 x y) y))
(/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) (-.f64 x y))
(/.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))) (-.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 x (*.f64 #s(literal 2 binary64) y))))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 x y) (*.f64 x (*.f64 y #s(literal -2 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x y)) (/.f64 #s(literal 1/2 binary64) (*.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) (neg.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x y))))
(/.f64 (*.f64 x #s(literal -2 binary64)) (neg.f64 (/.f64 (-.f64 x y) y)))
(/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y)))))
(/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) (*.f64 (-.f64 x y) (+.f64 x y))) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 y (fma.f64 x x (*.f64 y (+.f64 x y))))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 y (+.f64 x y))) (*.f64 (-.f64 x y) (+.f64 x y)))
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(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (+.f64 x y))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x y) (+.f64 x y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x y) (+.f64 x y))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 x y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 x y) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 x y) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y))))))
(*.f64 (pow.f64 (/.f64 (+.f64 x y) (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (-.f64 x y) (+.f64 x y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 y (+.f64 x y))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 y x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x y))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y)))))
(-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 y #s(literal -2 binary64))))
(neg.f64 (*.f64 x (*.f64 y #s(literal -2 binary64))))
(*.f64 x (*.f64 #s(literal 2 binary64) y))
(*.f64 x (neg.f64 (*.f64 y #s(literal -2 binary64))))
(*.f64 x (*.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 x y))
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 x y) #s(literal 1 binary64)))
(*.f64 (*.f64 x #s(literal 2 binary64)) y)
(*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 y #s(literal 1 binary64)))
(*.f64 y (*.f64 x #s(literal 2 binary64)))
(*.f64 y (neg.f64 (*.f64 x #s(literal -2 binary64))))
(*.f64 y (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 x (*.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64))
(*.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 2 binary64) y)))
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 x #s(literal -2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) y) x)
(*.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y #s(literal -2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 y #s(literal -2 binary64)))
(*.f64 (*.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) y))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 #s(literal 2 binary64) y))
(*.f64 (neg.f64 (*.f64 x #s(literal -2 binary64))) y)
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)

simplify400.0ms (6.7%)

Memory
14.5MiB live, 893.6MiB allocated
Algorithm
1×egg-herbie
Rules
14 398×accelerator-lowering-fma.f32
14 398×accelerator-lowering-fma.f64
5 052×*-lowering-*.f32
5 052×*-lowering-*.f64
1 978×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0136557
1378543
21013523
33112517
46444517
08173486
Stop Event
1×iter limit
1×node limit
Counts
84 → 84
Calls
Call 1
Inputs
(* -2 x)
(* x (- (* -2 (/ x y)) 2))
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2))
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2))
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2)))))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3))))))
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y))
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y))
(* 2 y)
(* y (+ 2 (* 2 (/ y x))))
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3))))))
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)))
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y)))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 (* x y))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
Outputs
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(* x (- (* -2 (/ x y)) 2))
(*.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)))
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2))
(*.f64 x (fma.f64 (/.f64 x y) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)) #s(literal -2 binary64)))
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2))
(*.f64 x (fma.f64 x (fma.f64 (/.f64 x (*.f64 y y)) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)) (/.f64 #s(literal -2 binary64) y)) #s(literal -2 binary64)))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(*.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2)))))
(*.f64 y (fma.f64 (/.f64 y x) (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3))))))
(*.f64 #s(literal 2 binary64) (fma.f64 y (fma.f64 (/.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x (*.f64 x x)))))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(*.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y))
(*.f64 y (fma.f64 (/.f64 y x) (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y))
(fma.f64 y #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 y y (/.f64 (fma.f64 y (*.f64 y y) (/.f64 (pow.f64 y #s(literal 4 binary64)) x)) x))) x))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(* y (+ 2 (* 2 (/ y x))))
(*.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))
(*.f64 y (fma.f64 (/.f64 y x) (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))
(*.f64 y (fma.f64 y (*.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 (/.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(*.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))
(*.f64 x (fma.f64 (/.f64 x y) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)) #s(literal -2 binary64)))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3))))))
(*.f64 #s(literal -2 binary64) (fma.f64 x (fma.f64 (/.f64 x y) (+.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y (*.f64 y y)))))
(* -2 x)
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(*.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)))
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)))
(*.f64 x (fma.f64 (/.f64 x y) (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)) #s(literal -2 binary64)))
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y)))
(fma.f64 #s(literal -2 binary64) x (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 x x (/.f64 (fma.f64 x (*.f64 x x) (/.f64 (pow.f64 x #s(literal 4 binary64)) y)) y))) y))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
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
(* -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
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* -1 y)
(-.f64 #s(literal 0 binary64) 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)
(* 2 (* x y))
(*.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))
(* 2 (* x y))
(*.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))
(* 2 (* x y))
(*.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))
(* 2 (* x y))
(*.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))
(* 2 (* x y))
(*.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))
(* 2 (* x y))
(*.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))
(* 2 (* x y))
(*.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))
(* 2 (* x y))
(*.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))
(* 2 (* x y))
(*.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))
(* 2 (* x y))
(*.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))
(* 2 (* x y))
(*.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))
(* 2 (* x y))
(*.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))
(* 2 (* x y))
(*.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))
(* 2 (* x y))
(*.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))
(* 2 (* x y))
(*.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))
(* 2 (* x y))
(*.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))
(* 2 (* x y))
(*.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))
(* 2 (* x y))
(*.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))
(* 2 (* x y))
(*.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))
(* 2 (* x y))
(*.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))
(* 2 (* x y))
(*.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))
(* 2 (* x y))
(*.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))
(* 2 (* x y))
(*.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))
(* 2 (* x y))
(*.f64 x (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))

eval60.0ms (1%)

Memory
-19.8MiB live, 171.9MiB allocated
Compiler

Compiled 13 515 to 1 317 computations (90.3% saved)

prune61.0ms (1%)

Memory
-6.3MiB live, 196.7MiB allocated
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New4845489
Fresh000
Picked011
Done000
Total4846490
Accuracy
100.0%
Counts
490 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶52.1%
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
▶49.8%
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
✓77.4%
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
▶91.2%
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y)) y)
▶51.4%
(*.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
▶49.1%
(*.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)))
Compiler

Compiled 97 to 65 computations (33% saved)

simplify280.0ms (4.7%)

Memory
30.0MiB live, 188.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓cost-diff-64
(*.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
✓cost-diff0
(/.f64 #s(literal 2 binary64) x)
✓cost-diff0
(fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
✓cost-diff-64
(*.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)))
✓cost-diff0
(/.f64 x y)
✓cost-diff0
(fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64))
✓cost-diff0
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
✓cost-diff0
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
✓cost-diff-64
(*.f64 x #s(literal 2 binary64))
✓cost-diff-64
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y)) y)
✓cost-diff0
(-.f64 x y)
✓cost-diff0
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y))
Rules
2 256×accelerator-lowering-fma.f32
2 256×accelerator-lowering-fma.f64
1 648×*-lowering-*.f32
1 648×*-lowering-*.f64
774×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02181
15181
210881
319781
425481
537281
667081
7134581
8250881
9327881
10353381
11361881
12363781
13364581
14393881
15403881
16403881
17403881
18403881
19405881
20406681
21406681
22413881
23463781
0463777
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* (/ (* x 2) (- x y)) y)
(/ (* x 2) (- x y))
(* x 2)
x
2
(- x y)
y
(+ (* -2 x) 0)
-2
x
0
(+ (* y 2) 0)
y
2
0
(* x (+ (* -2 (/ x y)) -2))
x
(+ (* -2 (/ x y)) -2)
-2
(/ x y)
y
(* y (+ (* y (/ 2 x)) 2))
y
(+ (* y (/ 2 x)) 2)
(/ 2 x)
2
x
Outputs
(* (/ (* x 2) (- x y)) y)
(fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (/.f64 y (-.f64 x y)) #s(literal 0 binary64))
(/ (* x 2) (- x y))
(fma.f64 x (/.f64 #s(literal 2 binary64) (-.f64 x y)) #s(literal 0 binary64))
(* x 2)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
x
2
#s(literal 2 binary64)
(- x y)
(-.f64 x y)
y
(+ (* -2 x) 0)
(fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64))
-2
#s(literal -2 binary64)
x
0
#s(literal 0 binary64)
(+ (* y 2) 0)
(fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64))
y
2
#s(literal 2 binary64)
0
#s(literal 0 binary64)
(* x (+ (* -2 (/ x y)) -2))
(fma.f64 x (fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal -2 binary64)) #s(literal 0 binary64))
x
(+ (* -2 (/ x y)) -2)
(fma.f64 x (/.f64 #s(literal -2 binary64) y) #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(/ x y)
(/.f64 x y)
y
(* y (+ (* y (/ 2 x)) 2))
(fma.f64 y (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 2 binary64)) #s(literal 0 binary64))
y
(+ (* y (/ 2 x)) 2)
(fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal 2 binary64))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
2
#s(literal 2 binary64)
x

localize94.0ms (1.6%)

Memory
-16.0MiB live, 136.7MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 #s(literal 2 binary64) x)
✓accuracy99.9%
(*.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
✓accuracy99.8%
(fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
✓accuracy100.0%
(fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64))
✓accuracy100.0%
(/.f64 x y)
✓accuracy99.9%
(*.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)))
✓accuracy100.0%
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
✓accuracy100.0%
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
✓accuracy100.0%
(-.f64 x y)
✓accuracy100.0%
(*.f64 x #s(literal 2 binary64))
✓accuracy100.0%
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y))
✓accuracy91.2%
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y)) y)
Samples
70.0ms256×0valid
Compiler

Compiled 81 to 23 computations (71.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-mult: 41.0ms (74.9% of total)
ival-add: 6.0ms (11% of total)
ival-div: 5.0ms (9.1% of total)
ival-sub: 1.0ms (1.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series12.0ms (0.2%)

Memory
29.0MiB live, 29.0MiB allocated
Counts
12 → 240
Calls
Call 1
Inputs
#<alt (/ (* x 2) (- x y))>
#<alt (- x y)>
#<alt (* (/ (* x 2) (- x y)) y)>
#<alt (* x 2)>
#<alt (+ (* -2 x) 0)>
#<alt (+ (* y 2) 0)>
#<alt (+ (* -2 (/ x y)) -2)>
#<alt (/ x y)>
#<alt (* x (+ (* -2 (/ x y)) -2))>
#<alt (+ (* y (/ 2 x)) 2)>
#<alt (/ 2 x)>
#<alt (* y (+ (* y (/ 2 x)) 2))>
Outputs
#<alt (* -2 (/ x y))>
#<alt (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y))))>
#<alt (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))))>
#<alt (* x (- (* x (- (* x (- (* -2 (/ x (pow y 4))) (* 2 (/ 1 (pow y 3))))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))))>
#<alt 2>
#<alt (+ 2 (* 2 (/ y x)))>
#<alt (- (+ 2 (* 2 (/ (pow y 2) (pow x 2)))) (* -2 (/ y x)))>
#<alt (- (+ 2 (* 2 (/ (pow y 3) (pow x 3)))) (+ (* -2 (/ y x)) (* -2 (/ (pow y 2) (pow x 2)))))>
#<alt 2>
#<alt (+ 2 (* 2 (/ y x)))>
#<alt (+ 2 (* -1 (/ (- (* -2 (/ (pow y 2) x)) (* 2 y)) x)))>
#<alt (+ 2 (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y)) x)))>
#<alt 2>
#<alt (+ 2 (* 2 (/ y x)))>
#<alt (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))>
#<alt (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))>
#<alt (* -2 (/ x y))>
#<alt (/ (+ (* -2 x) (* -2 (/ (pow x 2) y))) y)>
#<alt (/ (+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2))))) y)>
#<alt (/ (+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3)))))) y)>
#<alt (* -2 (/ x y))>
#<alt (* -1 (/ (+ (* 2 x) (* 2 (/ (pow x 2) y))) y))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 3) y)) (* -2 (pow x 2))) y)) (* 2 x)) y))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -2 (pow x 2)) (* -1 (/ (+ (* 2 (/ (pow x 4) y)) (* 2 (pow x 3))) y))) y)) (* 2 x)) y))>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -2 x)>
#<alt (* x (- (* -2 (/ x y)) 2))>
#<alt (* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2))>
#<alt (* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2))>
#<alt (* 2 y)>
#<alt (+ (* 2 y) (* 2 (/ (pow y 2) x)))>
#<alt (+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2)))))>
#<alt (+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3))))))>
#<alt (* 2 y)>
#<alt (+ (* 2 y) (* 2 (/ (pow y 2) x)))>
#<alt (+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y))>
#<alt (+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y))>
#<alt (* 2 y)>
#<alt (* y (+ 2 (* 2 (/ y x))))>
#<alt (* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))>
#<alt (* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))>
#<alt (* -2 x)>
#<alt (+ (* -2 x) (* -2 (/ (pow x 2) y)))>
#<alt (+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))>
#<alt (+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3))))))>
#<alt (* -2 x)>
#<alt (+ (* -2 x) (* -2 (/ (pow x 2) y)))>
#<alt (+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)))>
#<alt (+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y)))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt -2>
#<alt (- (* -2 (/ x y)) 2)>
#<alt (- (* -2 (/ x y)) 2)>
#<alt (- (* -2 (/ x y)) 2)>
#<alt (* -2 (/ x y))>
#<alt (* -1 (* x (+ (* 2 (/ 1 y)) (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (+ (* 2 (/ 1 y)) (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (+ (* 2 (/ 1 y)) (* 2 (/ 1 x)))))>
#<alt (* -2 (/ x y))>
#<alt (* -1 (* x (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))>
#<alt (* -1 (* x (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))>
#<alt (* -1 (* x (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))>
#<alt (* -2 (/ x y))>
#<alt (/ (+ (* -2 x) (* -2 y)) y)>
#<alt (/ (+ (* -2 x) (* -2 y)) y)>
#<alt (/ (+ (* -2 x) (* -2 y)) y)>
#<alt -2>
#<alt (- (* -2 (/ x y)) 2)>
#<alt (- (* -2 (/ x y)) 2)>
#<alt (- (* -2 (/ x y)) 2)>
#<alt -2>
#<alt (- (* -2 (/ x y)) 2)>
#<alt (- (* -2 (/ x y)) 2)>
#<alt (- (* -2 (/ x y)) 2)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (* -2 x)>
#<alt (* x (- (* -2 (/ x y)) 2))>
#<alt (* x (- (* -2 (/ x y)) 2))>
#<alt (* x (- (* -2 (/ x y)) 2))>
#<alt (* -2 (/ (pow x 2) y))>
#<alt (* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))>
#<alt (* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))>
#<alt (* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))>
#<alt (* -2 (/ (pow x 2) y))>
#<alt (* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))>
#<alt (* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))>
#<alt (* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))>
#<alt (* -2 (/ (pow x 2) y))>
#<alt (/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y)>
#<alt (/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y)>
#<alt (/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y)>
#<alt (* -2 x)>
#<alt (+ (* -2 x) (* -2 (/ (pow x 2) y)))>
#<alt (+ (* -2 x) (* -2 (/ (pow x 2) y)))>
#<alt (+ (* -2 x) (* -2 (/ (pow x 2) y)))>
#<alt (* -2 x)>
#<alt (+ (* -2 x) (* -2 (/ (pow x 2) y)))>
#<alt (+ (* -2 x) (* -2 (/ (pow x 2) y)))>
#<alt (+ (* -2 x) (* -2 (/ (pow x 2) y)))>
#<alt 2>
#<alt (+ 2 (* 2 (/ y x)))>
#<alt (+ 2 (* 2 (/ y x)))>
#<alt (+ 2 (* 2 (/ y x)))>
#<alt (* 2 (/ y x))>
#<alt (* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))>
#<alt (* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))>
#<alt (* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))>
#<alt (* 2 (/ y x))>
#<alt (* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))>
#<alt (* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))>
#<alt (* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))>
#<alt (* 2 (/ y x))>
#<alt (/ (+ (* 2 x) (* 2 y)) x)>
#<alt (/ (+ (* 2 x) (* 2 y)) x)>
#<alt (/ (+ (* 2 x) (* 2 y)) x)>
#<alt 2>
#<alt (+ 2 (* 2 (/ y x)))>
#<alt (+ 2 (* 2 (/ y x)))>
#<alt (+ 2 (* 2 (/ y x)))>
#<alt 2>
#<alt (+ 2 (* 2 (/ y x)))>
#<alt (+ 2 (* 2 (/ y x)))>
#<alt (+ 2 (* 2 (/ y x)))>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (* 2 y)>
#<alt (* y (+ 2 (* 2 (/ y x))))>
#<alt (* y (+ 2 (* 2 (/ y x))))>
#<alt (* y (+ 2 (* 2 (/ y x))))>
#<alt (* 2 (/ (pow y 2) x))>
#<alt (* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))>
#<alt (* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))>
#<alt (* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))>
#<alt (* 2 (/ (pow y 2) x))>
#<alt (* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))>
#<alt (* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))>
#<alt (* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))>
#<alt (* 2 (/ (pow y 2) x))>
#<alt (/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x)>
#<alt (/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x)>
#<alt (/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x)>
#<alt (* 2 y)>
#<alt (+ (* 2 y) (* 2 (/ (pow y 2) x)))>
#<alt (+ (* 2 y) (* 2 (/ (pow y 2) x)))>
#<alt (+ (* 2 y) (* 2 (/ (pow y 2) x)))>
#<alt (* 2 y)>
#<alt (+ (* 2 y) (* 2 (/ (pow y 2) x)))>
#<alt (+ (* 2 y) (* 2 (/ (pow y 2) x)))>
#<alt (+ (* 2 y) (* 2 (/ (pow y 2) x)))>
Calls

60 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(+ (* -2 x) 0)
0.0ms
y
@inf
(+ (* y (/ 2 x)) 2)
0.0ms
y
@0
(+ (* y (/ 2 x)) 2)
0.0ms
y
@-inf
(* y (+ (* y (/ 2 x)) 2))
0.0ms
x
@inf
(* x (+ (* -2 (/ x y)) -2))

rewrite421.0ms (7%)

Memory
-8.0MiB live, 947.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
9 292×accelerator-lowering-fma.f32
9 292×accelerator-lowering-fma.f64
5 018×*-lowering-*.f32
5 018×*-lowering-*.f64
3 690×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02166
113366
2109266
0861662
Stop Event
1×iter limit
1×node limit
Counts
12 → 1 236
Calls
Call 1
Inputs
(/ (* x 2) (- x y))
(- x y)
(* (/ (* x 2) (- x y)) y)
(* x 2)
(+ (* -2 x) 0)
(+ (* y 2) 0)
(+ (* -2 (/ x y)) -2)
(/ x y)
(* x (+ (* -2 (/ x y)) -2))
(+ (* y (/ 2 x)) 2)
(/ 2 x)
(* y (+ (* y (/ 2 x)) 2))
Outputs
(+.f64 (*.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (*.f64 x x)) (*.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (*.f64 y (+.f64 x y))))
(+.f64 (*.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (*.f64 y (+.f64 x y))) (*.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (fma.f64 x x (*.f64 y y))) (*.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (*.f64 x y)))
(+.f64 (*.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (*.f64 (-.f64 x y) (+.f64 x y))) x) (*.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (*.f64 (-.f64 x y) (+.f64 x y))) y))
(+.f64 (*.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (*.f64 (-.f64 x y) (+.f64 x y))) y) (*.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (*.f64 (-.f64 x y) (+.f64 x y))) x))
(+.f64 (*.f64 (*.f64 x x) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)))) (*.f64 (*.f64 y (+.f64 x y)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)))))
(+.f64 (*.f64 (*.f64 y (+.f64 x y)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)))) (*.f64 (*.f64 x x) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)))))
(+.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)))) (*.f64 (*.f64 x y) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)))))
(+.f64 (*.f64 x (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (*.f64 (-.f64 x y) (+.f64 x y)))) (*.f64 y (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (*.f64 (-.f64 x y) (+.f64 x y)))))
(+.f64 (*.f64 y (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (*.f64 (-.f64 x y) (+.f64 x y)))) (*.f64 x (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (*.f64 (-.f64 x y) (+.f64 x y)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x y) (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))) #s(literal -1 binary64)))
(-.f64 (*.f64 x (/.f64 #s(literal 2 binary64) (-.f64 x y))) (/.f64 #s(literal 0 binary64) (-.f64 y x)))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (-.f64 y x)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 y x)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (-.f64 y x)))
(fma.f64 x (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (*.f64 (-.f64 x y) (+.f64 x y))) (*.f64 y (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (*.f64 (-.f64 x y) (+.f64 x y)))))
(fma.f64 y (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (*.f64 (-.f64 x y) (+.f64 x y))) (*.f64 x (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (*.f64 (-.f64 x y) (+.f64 x y)))))
(fma.f64 (*.f64 x x) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (*.f64 (*.f64 y (+.f64 x y)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)))))
(fma.f64 (*.f64 y (+.f64 x y)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (*.f64 (*.f64 x x) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)))))
(fma.f64 (fma.f64 x x (*.f64 y y)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (*.f64 (*.f64 x y) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y)))))
(fma.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (*.f64 x x) (*.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (*.f64 (fma.f64 y (+.f64 x y) (*.f64 x x)) (-.f64 x y))) (*.f64 y (+.f64 x y))))
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(/.f64 (fma.f64 (fma.f64 y (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 #s(literal 4 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x (fma.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)) #s(literal 0 binary64)))) (fma.f64 x (fma.f64 y (fma.f64 #s(literal 4 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (fma.f64 (fma.f64 y (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) (fma.f64 x (fma.f64 y (fma.f64 #s(literal 4 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (fma.f64 (fma.f64 y (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (*.f64 y y) #s(literal -4 binary64) #s(literal 0 binary64)) (*.f64 x (fma.f64 #s(literal -8 binary64) (*.f64 y (*.f64 y y)) #s(literal 0 binary64)))) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -4 binary64) #s(literal 0 binary64))))
(/.f64 (fma.f64 (fma.f64 y (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y #s(literal -2 binary64) #s(literal 0 binary64)) (*.f64 x (fma.f64 (*.f64 y y) #s(literal -4 binary64) #s(literal 0 binary64)))) (fma.f64 x (fma.f64 y #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))) (*.f64 y (*.f64 y y)) (fma.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)) #s(literal 0 binary64)))) (neg.f64 (fma.f64 (/.f64 (fma.f64 y (fma.f64 #s(literal 4 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x x)) (*.f64 y y) (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) (-.f64 (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) (/.f64 y x) #s(literal 0 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (neg.f64 (fma.f64 y (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 y (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) #s(literal 8 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (fma.f64 y (fma.f64 #s(literal 4 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x x)) (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) y #s(literal 0 binary64)) x)))))
(/.f64 (neg.f64 (*.f64 y (+.f64 (/.f64 (fma.f64 y (fma.f64 #s(literal 4 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x x)) #s(literal -4 binary64)))) (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) #s(literal 8 binary64)) y)) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (fma.f64 y (fma.f64 #s(literal 4 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x x)) (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) y #s(literal 0 binary64)) x)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 (fma.f64 y (fma.f64 #s(literal 4 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x x)) #s(literal -4 binary64)) y)) (fma.f64 #s(literal -2 binary64) (/.f64 y x) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))) (*.f64 y (*.f64 y y)))) (fma.f64 y (fma.f64 #s(literal 4 binary64) y #s(literal 0 binary64)) (-.f64 (*.f64 (/.f64 (fma.f64 y (fma.f64 #s(literal 4 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x x)) (*.f64 y y)) (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) (/.f64 y x) #s(literal 0 binary64))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(/.f64 (-.f64 (fma.f64 y (fma.f64 #s(literal 4 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (/.f64 (fma.f64 y (fma.f64 #s(literal 4 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x x)) (*.f64 y y))) (-.f64 (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) (/.f64 y x) #s(literal 0 binary64))))
(/.f64 (-.f64 (*.f64 (fma.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) #s(literal 0 binary64)))
(*.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(*.f64 (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) y)
(*.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))) (*.f64 y (*.f64 y y)) (fma.f64 #s(literal 8 binary64) (*.f64 y (*.f64 y y)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (fma.f64 y (fma.f64 #s(literal 4 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x x)) (*.f64 y y) (*.f64 (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) (-.f64 (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) y #s(literal 0 binary64)) (/.f64 y x) #s(literal 0 binary64)))))))
(*.f64 (fma.f64 (fma.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64)) #s(literal 0 binary64))))
(*.f64 (*.f64 y (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 y (fma.f64 #s(literal 4 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x x)) (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) y #s(literal 0 binary64)) x)))))
(*.f64 (*.f64 y (+.f64 (/.f64 (fma.f64 y (fma.f64 #s(literal 4 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x x)) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64))))
(*.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) #s(literal 8 binary64)) y) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 y (fma.f64 #s(literal 4 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x x)) (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) y #s(literal 0 binary64)) x)))))
(*.f64 (*.f64 (+.f64 (/.f64 (fma.f64 y (fma.f64 #s(literal 4 binary64) y #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x x)) #s(literal -4 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 y x) #s(literal -2 binary64))))

simplify470.0ms (7.9%)

Memory
21.1MiB live, 820.0MiB allocated
Algorithm
1×egg-herbie
Rules
12 704×accelerator-lowering-fma.f32
12 704×accelerator-lowering-fma.f64
4 858×*-lowering-*.f32
4 858×*-lowering-*.f64
1 500×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02181656
16301610
217951551
358291551
082601428
Stop Event
1×iter limit
1×node limit
Counts
240 → 240
Calls
Call 1
Inputs
(* -2 (/ x y))
(* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y))))
(* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))))
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 4))) (* 2 (/ 1 (pow y 3))))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))))
2
(+ 2 (* 2 (/ y x)))
(- (+ 2 (* 2 (/ (pow y 2) (pow x 2)))) (* -2 (/ y x)))
(- (+ 2 (* 2 (/ (pow y 3) (pow x 3)))) (+ (* -2 (/ y x)) (* -2 (/ (pow y 2) (pow x 2)))))
2
(+ 2 (* 2 (/ y x)))
(+ 2 (* -1 (/ (- (* -2 (/ (pow y 2) x)) (* 2 y)) x)))
(+ 2 (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y)) x)))
2
(+ 2 (* 2 (/ y x)))
(+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x)))))
(+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))))
(* -2 (/ x y))
(/ (+ (* -2 x) (* -2 (/ (pow x 2) y))) y)
(/ (+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2))))) y)
(/ (+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3)))))) y)
(* -2 (/ x y))
(* -1 (/ (+ (* 2 x) (* 2 (/ (pow x 2) y))) y))
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 3) y)) (* -2 (pow x 2))) y)) (* 2 x)) y))
(* -1 (/ (+ (* -1 (/ (+ (* -2 (pow x 2)) (* -1 (/ (+ (* 2 (/ (pow x 4) y)) (* 2 (pow x 3))) y))) y)) (* 2 x)) y))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -2 x)
(* x (- (* -2 (/ x y)) 2))
(* x (- (* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y)))) 2))
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))) 2))
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (* 2 (/ (pow y 3) (pow x 2)))))
(+ (* 2 y) (+ (* 2 (/ (pow y 2) x)) (+ (* 2 (/ (pow y 3) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3))))))
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* -1 (/ (+ (* -2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y))
(+ (* -1 (/ (+ (* -2 (pow y 2)) (* -1 (/ (+ (* 2 (/ (pow y 4) x)) (* 2 (pow y 3))) x))) x)) (* 2 y))
(* 2 y)
(* y (+ 2 (* 2 (/ y x))))
(* y (+ 2 (* y (+ (* 2 (/ y (pow x 2))) (* 2 (/ 1 x))))))
(* y (+ 2 (* y (+ (* y (+ (* 2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x))))))
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (* -2 (/ (pow x 3) (pow y 2)))))
(+ (* -2 x) (+ (* -2 (/ (pow x 2) y)) (+ (* -2 (/ (pow x 3) (pow y 2))) (* -2 (/ (pow x 4) (pow y 3))))))
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (* -1 (/ (+ (* 2 (/ (pow x 3) y)) (* 2 (pow x 2))) y)))
(+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x 4) y)) (* -2 (pow x 3))) y)) (* 2 (pow x 2))) y)))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
-2
(- (* -2 (/ x y)) 2)
(- (* -2 (/ x y)) 2)
(- (* -2 (/ x y)) 2)
(* -2 (/ x y))
(* -1 (* x (+ (* 2 (/ 1 y)) (* 2 (/ 1 x)))))
(* -1 (* x (+ (* 2 (/ 1 y)) (* 2 (/ 1 x)))))
(* -1 (* x (+ (* 2 (/ 1 y)) (* 2 (/ 1 x)))))
(* -2 (/ x y))
(* -1 (* x (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(* -1 (* x (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(* -1 (* x (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(* -2 (/ x y))
(/ (+ (* -2 x) (* -2 y)) y)
(/ (+ (* -2 x) (* -2 y)) y)
(/ (+ (* -2 x) (* -2 y)) y)
-2
(- (* -2 (/ x y)) 2)
(- (* -2 (/ x y)) 2)
(- (* -2 (/ x y)) 2)
-2
(- (* -2 (/ x y)) 2)
(- (* -2 (/ x y)) 2)
(- (* -2 (/ x y)) 2)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* -2 x)
(* x (- (* -2 (/ x y)) 2))
(* x (- (* -2 (/ x y)) 2))
(* x (- (* -2 (/ x y)) 2))
(* -2 (/ (pow x 2) y))
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(* -2 (/ (pow x 2) y))
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(* -1 (* (pow x 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y)))))
(* -2 (/ (pow x 2) y))
(/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y)
(/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y)
(/ (+ (* -2 (* x y)) (* -2 (pow x 2))) y)
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(* -2 x)
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
(+ (* -2 x) (* -2 (/ (pow x 2) y)))
2
(+ 2 (* 2 (/ y x)))
(+ 2 (* 2 (/ y x)))
(+ 2 (* 2 (/ y x)))
(* 2 (/ y x))
(* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(* 2 (/ y x))
(* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(* y (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(* 2 (/ y x))
(/ (+ (* 2 x) (* 2 y)) x)
(/ (+ (* 2 x) (* 2 y)) x)
(/ (+ (* 2 x) (* 2 y)) x)
2
(+ 2 (* 2 (/ y x)))
(+ 2 (* 2 (/ y x)))
(+ 2 (* 2 (/ y x)))
2
(+ 2 (* 2 (/ y x)))
(+ 2 (* 2 (/ y x)))
(+ 2 (* 2 (/ y x)))
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(* 2 y)
(* y (+ 2 (* 2 (/ y x))))
(* y (+ 2 (* 2 (/ y x))))
(* y (+ 2 (* 2 (/ y x))))
(* 2 (/ (pow y 2) x))
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(* 2 (/ (pow y 2) x))
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(* 2 (/ (pow y 2) x))
(/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x)
(/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x)
(/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x)
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(* 2 y)
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
Outputs
(* -2 (/ x y))
(*.f64 #s(literal -2 binary64) (/.f64 x y))
(* x (- (* -2 (/ x (pow y 2))) (* 2 (/ 1 y))))
(/.f64 (*.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64))) y)
(* x (- (* x (- (* -2 (/ x (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))))
(*.f64 x (fma.f64 x (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 y y))) (/.f64 #s(literal -2 binary64) y)))
(* x (- (* x (- (* x (- (* -2 (/ x (pow y 4))) (* 2 (/ 1 (pow y 3))))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))))
(*.f64 x (fma.f64 x (fma.f64 #s(literal -2 binary64) (*.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x) (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 y y)))) (/.f64 #s(literal -2 binary64) y)))
2
#s(literal 2 binary64)
(+ 2 (* 2 (/ y x)))
(fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(- (+ 2 (* 2 (/ (pow y 2) (pow x 2)))) (* -2 (/ y x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))
(- (+ 2 (* 2 (/ (pow y 3) (pow x 3)))) (+ (* -2 (/ y x)) (* -2 (/ (pow y 2) (pow x 2)))))
(+.f64 #s(literal 2 binary64) (/.f64 (*.f64 y (fma.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) x))
2
#s(literal 2 binary64)
(+ 2 (* 2 (/ y x)))
(fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(+ 2 (* -1 (/ (- (* -2 (/ (pow y 2) x)) (* 2 y)) x)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))
(+ 2 (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow y 3) x)) (* -2 (pow y 2))) x)) (* 2 y)) x)))
(+.f64 #s(literal 2 binary64) (/.f64 (*.f64 y (fma.f64 (/.f64 #s(literal 2 binary64) x) (fma.f64 y (/.f64 y x) y) #s(literal 2 binary64))) x))
2
#s(literal 2 binary64)
(+ 2 (* 2 (/ y x)))
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(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(* y (+ 2 (* 2 (/ y x))))
(*.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(* y (+ 2 (* 2 (/ y x))))
(*.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(* y (+ 2 (* 2 (/ y x))))
(*.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(* 2 (/ (pow y 2) x))
(*.f64 y (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) x))
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(*.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(*.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(*.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(* 2 (/ (pow y 2) x))
(*.f64 y (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) x))
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(*.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(*.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(* (pow y 2) (+ (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(*.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(* 2 (/ (pow y 2) x))
(*.f64 y (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64)) x))
(/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x)
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 x y))) x)
(/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x)
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 x y))) x)
(/ (+ (* 2 (* x y)) (* 2 (pow y 2))) x)
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 y (+.f64 x y))) x)
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(*.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(*.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(*.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(* 2 y)
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(*.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(*.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(+ (* 2 y) (* 2 (/ (pow y 2) x)))
(*.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))

eval277.0ms (4.6%)

Memory
33.2MiB live, 528.9MiB allocated
Compiler

Compiled 28 763 to 2 488 computations (91.3% saved)

prune172.0ms (2.9%)

Memory
14.5MiB live, 541.1MiB allocated
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New1 47331 476
Fresh000
Picked235
Done011
Total1 47571 482
Accuracy
100.0%
Counts
1 482 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓77.4%
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
✓91.2%
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y)) y)
▶41.0%
(*.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) y)
✓51.4%
(*.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
▶52.1%
(*.f64 y #s(literal 2 binary64))
✓49.1%
(*.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)))
▶49.8%
(*.f64 x #s(literal -2 binary64))
Compiler

Compiled 61 to 40 computations (34.4% saved)

simplify281.0ms (4.7%)

Memory
1.9MiB live, 354.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 x y)
✓cost-diff0
(*.f64 #s(literal -2 binary64) (/.f64 x y))
✓cost-diff1024
(*.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) y)
✓cost-diff0
(*.f64 y #s(literal 2 binary64))
✓cost-diff0
(*.f64 x #s(literal -2 binary64))
Rules
6 514×*-lowering-*.f32
6 514×*-lowering-*.f64
2 926×cube-prod
2 138×/-lowering-/.f32
2 138×/-lowering-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0924
11624
23124
35024
46024
512524
630624
7131224
8222024
9236024
10244224
11256624
12276324
13301524
14507124
15628924
16686924
17714724
18725324
19735224
20744924
0843624
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* x -2)
x
-2
(* y 2)
y
2
(* (* -2 (/ x y)) y)
(* -2 (/ x y))
-2
(/ x y)
x
y
Outputs
(* x -2)
(*.f64 x #s(literal -2 binary64))
x
-2
#s(literal -2 binary64)
(* y 2)
(*.f64 y #s(literal 2 binary64))
y
2
#s(literal 2 binary64)
(* (* -2 (/ x y)) y)
(*.f64 x #s(literal -2 binary64))
(* -2 (/ x y))
(*.f64 #s(literal -2 binary64) (/.f64 x y))
-2
#s(literal -2 binary64)
(/ x y)
(/.f64 x y)
x
y

localize28.0ms (0.5%)

Memory
-5.3MiB live, 77.1MiB allocated
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 x y)
✓accuracy100.0%
(*.f64 #s(literal -2 binary64) (/.f64 x y))
✓accuracy78.0%
(*.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) y)
✓accuracy100.0%
(*.f64 y #s(literal 2 binary64))
✓accuracy100.0%
(*.f64 x #s(literal -2 binary64))
Samples
18.0ms256×0valid
Compiler

Compiled 30 to 11 computations (63.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 6.0ms (72.3% of total)
ival-div: 2.0ms (24.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory
7.5MiB live, 7.5MiB allocated
Counts
5 → 96
Calls
Call 1
Inputs
#<alt (* x -2)>
#<alt (* y 2)>
#<alt (* (* -2 (/ x y)) y)>
#<alt (* -2 (/ x y))>
#<alt (/ x y)>
Outputs
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* 2 y)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
Calls

24 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(* -2 (/ x y))
0.0ms
x
@inf
(* -2 (/ x y))
0.0ms
y
@inf
(* y 2)
0.0ms
y
@-inf
(* y 2)
0.0ms
y
@0
(* (* -2 (/ x y)) y)

rewrite119.0ms (2%)

Memory
-6.8MiB live, 190.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
1 694×*-lowering-*.f32
1 694×*-lowering-*.f64
1 364×/-lowering-/.f32
1 364×/-lowering-/.f64
1 254×frac-times
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0917
12417
29417
346617
0368017
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
5 → 369
Calls
Call 1
Inputs
(* x -2)
(* y 2)
(* (* -2 (/ x y)) y)
(* -2 (/ x y))
(/ x y)
Outputs
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x #s(literal -2 binary64)))) (*.f64 x #s(literal 2 binary64)))
(neg.f64 (*.f64 x #s(literal 2 binary64)))
(neg.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 y (/.f64 y (*.f64 x #s(literal -2 binary64))))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 y x))))
(/.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (/.f64 x (*.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y (*.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (/.f64 y (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (/.f64 y (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) (*.f64 y #s(literal 2 binary64))))
(/.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (*.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y (*.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1/2 binary64) x)))
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 y x))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 x y)) y)
(/.f64 (*.f64 x y) (*.f64 y #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal -2 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 #s(literal -2 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 y #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 y x)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 2 binary64)) (/.f64 y x))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 x #s(literal 2 binary64))) y)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal -2 binary64) y)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) (-.f64 #s(literal 0 binary64) y)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(/.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) #s(literal 2 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 2 binary64)) x)
(pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64))
(*.f64 x #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) x)
(*.f64 y (/.f64 x (*.f64 y #s(literal -1/2 binary64))))
(*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 x y) (*.f64 #s(literal -2 binary64) y))
(*.f64 (/.f64 x (*.f64 y #s(literal -1/2 binary64))) y)
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 x #s(literal 2 binary64)) y))
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal -2 binary64) (*.f64 x y)))
(*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x (*.f64 y #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (*.f64 y #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 x y))
(*.f64 (*.f64 #s(literal -2 binary64) (*.f64 x y)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 x y) (/.f64 #s(literal -2 binary64) y))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (/.f64 #s(literal 2 binary64) y))
(*.f64 (/.f64 #s(literal -2 binary64) y) (*.f64 x y))
(*.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) y)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 x y))))
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 #s(literal 0 binary64) y))
(*.f64 (*.f64 y #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 x y)))
(*.f64 (/.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(*.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 y (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 (/.f64 y (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 2 binary64) y))
(*.f64 (/.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (*.f64 y (/.f64 #s(literal 2 binary64) y)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) y) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 x y)) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (/.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64))))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (/.f64 (*.f64 x (*.f64 y #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))) y)
(neg.f64 (*.f64 #s(literal -2 binary64) y))
(neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 #s(literal -2 binary64) y) #s(literal -1 binary64))
(/.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) y))
(*.f64 y #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) y)
(*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) y) #s(literal -1 binary64))
(*.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y (*.f64 x #s(literal -2 binary64)))) (*.f64 x #s(literal 2 binary64)))
(neg.f64 (*.f64 x #s(literal 2 binary64)))
(neg.f64 (/.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 y (/.f64 y (*.f64 x #s(literal -2 binary64))))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 y x))))
(/.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (/.f64 x (*.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) y))
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(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64))))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))) y)
(+.f64 #s(literal 0 binary64) (/.f64 x y))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)) (/.f64 x y))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 y x))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x y)))
(fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64) (/.f64 x y))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)))
(/.f64 x y)
(/.f64 y (*.f64 y (/.f64 y x)))
(/.f64 y (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 y x))))
(/.f64 y (*.f64 (/.f64 y x) y))
(/.f64 y (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 y (-.f64 #s(literal 0 binary64) (/.f64 y x))))
(/.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (/.f64 y x) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) y))
(/.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y x)))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -1 binary64))
(/.f64 (*.f64 x y) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (*.f64 y (-.f64 #s(literal 0 binary64) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (*.f64 (-.f64 #s(literal 0 binary64) y) y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) y) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y x))) (-.f64 #s(literal 0 binary64) y)) (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 y x))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) #s(literal -1 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) y))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal -1 binary64)) (*.f64 x y))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) y) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 x y)))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 y (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) (*.f64 x y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (-.f64 #s(literal 0 binary64) (/.f64 x y)) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (-.f64 #s(literal 0 binary64) (/.f64 x y)))) (-.f64 #s(literal 0 binary64) (/.f64 x y)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) x)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (/.f64 #s(literal -1 binary64) y)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal -1 binary64) y)) x)
(pow.f64 (/.f64 x y) #s(literal 1 binary64))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 y x) (/.f64 y x)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 y x))) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 y (/.f64 (/.f64 x y) y))
(*.f64 y (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) y))
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (/.f64 x y) (-.f64 #s(literal 0 binary64) y)))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x y)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -1 binary64))
(*.f64 (*.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 x y) (/.f64 (/.f64 #s(literal 1 binary64) y) y))
(*.f64 (*.f64 x y) (/.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) y)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (/.f64 (/.f64 #s(literal -1 binary64) y) y))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (/.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) y)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)) (*.f64 x y))
(*.f64 (/.f64 (/.f64 x y) y) y)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x y))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y)) y)
(*.f64 (*.f64 x (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64))) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64))))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))) y)

simplify13.0ms (0.2%)

Memory
-7.7MiB live, 31.2MiB allocated
Algorithm
1×egg-herbie
Rules
16×*-lowering-*.f32
16×*-lowering-*.f64
8×*-commutative
6×/-lowering-/.f32
6×/-lowering-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08336
112336
214336
315336
015336
Stop Event
1×iter limit
1×saturated
Counts
96 → 96
Calls
Call 1
Inputs
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
Outputs
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* 2 y)
(*.f64 #s(literal 2 binary64) y)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 (/ x y))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(* -2 (/ x y))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(* -2 (/ x y))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(* -2 (/ x y))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(* -2 (/ x y))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(* -2 (/ x y))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(* -2 (/ x y))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(* -2 (/ x y))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(* -2 (/ x y))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(* -2 (/ x y))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(* -2 (/ x y))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(* -2 (/ x y))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(* -2 (/ x y))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(* -2 (/ x y))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(* -2 (/ x y))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(* -2 (/ x y))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(* -2 (/ x y))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(* -2 (/ x y))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(* -2 (/ x y))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(* -2 (/ x y))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(* -2 (/ x y))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(* -2 (/ x y))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(* -2 (/ x y))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(* -2 (/ x y))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)

eval89.0ms (1.5%)

Memory
23.1MiB live, 102.6MiB allocated
Compiler

Compiled 4 501 to 756 computations (83.2% saved)

prune54.0ms (0.9%)

Memory
-20.1MiB live, 96.7MiB allocated
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New4641465
Fresh000
Picked123
Done044
Total4657472
Accuracy
100.0%
Counts
472 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓77.4%
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
✓91.2%
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y)) y)
▶40.9%
(*.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) y)
✓51.4%
(*.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
✓52.1%
(*.f64 y #s(literal 2 binary64))
✓49.1%
(*.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)))
✓49.8%
(*.f64 x #s(literal -2 binary64))
Compiler

Compiled 61 to 40 computations (34.4% saved)

simplify275.0ms (4.6%)

Memory
-81.6MiB live, 351.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal -2 binary64) y)
✓cost-diff0
(*.f64 (/.f64 #s(literal -2 binary64) y) x)
✓cost-diff1024
(*.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) y)
Rules
6 496×*-lowering-*.f32
6 496×*-lowering-*.f64
2 926×cube-prod
2 128×/-lowering-/.f32
2 128×/-lowering-/.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0618
11218
22918
34714
45814
511614
630014
7122414
8213514
9227514
10235714
11248114
12267814
13292514
14500514
15622514
16680514
17708114
18718714
19728614
20738314
0836814
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (* (/ -2 y) x) y)
(* (/ -2 y) x)
(/ -2 y)
-2
y
x
Outputs
(* (* (/ -2 y) x) y)
(*.f64 #s(literal -2 binary64) x)
(* (/ -2 y) x)
(/.f64 (*.f64 #s(literal -2 binary64) x) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
-2
#s(literal -2 binary64)
y
x

localize19.0ms (0.3%)

Memory
-0.8MiB live, 37.9MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 #s(literal -2 binary64) y)
✓accuracy99.7%
(*.f64 (/.f64 #s(literal -2 binary64) y) x)
✓accuracy78.0%
(*.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) y)
Samples
11.0ms256×0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (54.5% of total)
ival-div: 2.0ms (36.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated
Counts
3 → 60
Calls
Call 1
Inputs
#<alt (* (* (/ -2 y) x) y)>
#<alt (* (/ -2 y) x)>
#<alt (/ -2 y)>
Outputs
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (/ -2 y)>
#<alt (/ -2 y)>
#<alt (/ -2 y)>
#<alt (/ -2 y)>
#<alt (/ -2 y)>
#<alt (/ -2 y)>
#<alt (/ -2 y)>
#<alt (/ -2 y)>
#<alt (/ -2 y)>
#<alt (/ -2 y)>
#<alt (/ -2 y)>
#<alt (/ -2 y)>
Calls

15 calls:

TimeVariablePointExpression
0.0ms
y
@inf
(/ -2 y)
0.0ms
y
@inf
(* (* (/ -2 y) x) y)
0.0ms
y
@0
(* (* (/ -2 y) x) y)
0.0ms
y
@-inf
(* (* (/ -2 y) x) y)
0.0ms
x
@inf
(* (* (/ -2 y) x) y)

rewrite85.0ms (1.4%)

Memory
33.6MiB live, 113.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
1 000×*-lowering-*.f32
1 000×*-lowering-*.f64
730×/-lowering-/.f32
730×/-lowering-/.f64
388×times-frac
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0615
12115
29215
340711
0203111
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
3 → 179
Calls
Call 1
Inputs
(* (* (/ -2 y) x) y)
(* (/ -2 y) x)
(/ -2 y)
Outputs
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y (*.f64 #s(literal -2 binary64) x))) (/.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y (*.f64 #s(literal -2 binary64) x))))
(neg.f64 (*.f64 x #s(literal 2 binary64)))
(neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y (*.f64 #s(literal -2 binary64) x))))
(neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 x (*.f64 y #s(literal -1/2 binary64)))))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -2 binary64) (*.f64 y x))))
(neg.f64 (*.f64 (/.f64 x (*.f64 y #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) y)))
(neg.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 y x)) (/.f64 #s(literal -1 binary64) y)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y x)) (*.f64 y #s(literal -1/2 binary64))))
(/.f64 y (/.f64 y (*.f64 #s(literal -2 binary64) x)))
(/.f64 y (*.f64 (/.f64 y (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))
(/.f64 x #s(literal -1/2 binary64))
(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y #s(literal -1/2 binary64))))
(/.f64 x (*.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (/.f64 x (*.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y (*.f64 x #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (/.f64 y (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (/.f64 y (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 (*.f64 y x) (*.f64 y #s(literal -1/2 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (*.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 y (*.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1/2 binary64) x)))
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (/.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)))
(/.f64 (/.f64 x y) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 y x)) y)
(/.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y #s(literal 1/2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y x)) (*.f64 y #s(literal 1/2 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 y x))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 x #s(literal 2 binary64))) y)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) x)) (*.f64 y #s(literal -1/2 binary64)))
(/.f64 (/.f64 (*.f64 y x) #s(literal -1 binary64)) (*.f64 y #s(literal 1/2 binary64)))
(/.f64 (/.f64 (*.f64 y x) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 x (*.f64 y #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(/.f64 (*.f64 (/.f64 x (*.f64 y #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 y x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y))
(pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64))
(*.f64 #s(literal -2 binary64) x)
(*.f64 y (/.f64 x (*.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -2 binary64) y) (*.f64 y x))
(*.f64 x #s(literal -2 binary64))
(*.f64 (/.f64 x (*.f64 y #s(literal -1/2 binary64))) y)
(*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 x (*.f64 y #s(literal 1/2 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal -2 binary64) (*.f64 y x)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y (/.f64 #s(literal -1/2 binary64) x)))
(*.f64 (*.f64 y x) (/.f64 #s(literal -2 binary64) y))
(*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y (*.f64 #s(literal -2 binary64) x))))
(*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 x (*.f64 y #s(literal -1/2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 #s(literal -2 binary64) (*.f64 y x))))
(*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 y (*.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y x)))
(*.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (*.f64 y x) #s(literal -1 binary64)))
(*.f64 (/.f64 x y) (*.f64 #s(literal -2 binary64) y))
(*.f64 (/.f64 x y) (/.f64 y #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) y))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y x)) (/.f64 #s(literal 2 binary64) y))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 y x))))
(*.f64 (pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 y x)))
(*.f64 (/.f64 x (*.f64 y #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) y))
(*.f64 (*.f64 y #s(literal 2 binary64)) (/.f64 x (-.f64 #s(literal 0 binary64) y)))
(*.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 x y))
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) (*.f64 y #s(literal 2 binary64)))
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) (/.f64 y #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 (/.f64 y #s(literal -1/2 binary64)) (/.f64 x y))
(*.f64 (/.f64 y #s(literal 1/2 binary64)) (/.f64 x (-.f64 #s(literal 0 binary64) y)))
(*.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))
(*.f64 (/.f64 (*.f64 y x) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) y))
(*.f64 (/.f64 (*.f64 y x) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (*.f64 (*.f64 y x) (pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 y x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 y x)) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (/.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64))))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (/.f64 (*.f64 y (*.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))) y)
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y x)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) y))
(exp.f64 (*.f64 (log.f64 (/.f64 y (*.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y #s(literal 1/2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 x (*.f64 y #s(literal 1/2 binary64))))
(neg.f64 (/.f64 x (*.f64 y #s(literal 1/2 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 #s(literal -2 binary64) x))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 y #s(literal -1/2 binary64))))
(/.f64 #s(literal -2 binary64) (/.f64 y x))
(/.f64 x (*.f64 y #s(literal -1/2 binary64)))
(/.f64 (/.f64 x (*.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal -2 binary64) x)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 (*.f64 #s(literal -2 binary64) x) y)
(/.f64 #s(literal -1 binary64) (/.f64 y (*.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 x y) #s(literal -1/2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 y #s(literal 1/2 binary64)))
(/.f64 (/.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64))
(/.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) #s(literal 1/2 binary64))
(/.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) y))
(pow.f64 (/.f64 y (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 x y))
(*.f64 (/.f64 #s(literal -2 binary64) y) x)
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(*.f64 (/.f64 x (*.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) y)))
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal -2 binary64) x))
(*.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y #s(literal 1/2 binary64))))
(*.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 x y) #s(literal -2 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 2 binary64) y))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 #s(literal -2 binary64) x)))
(*.f64 (pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) x))
(*.f64 (/.f64 x (*.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)) #s(literal 2 binary64))
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (/.f64 y (*.f64 #s(literal -2 binary64) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (*.f64 #s(literal -2 binary64) x)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 x (pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64))))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))) y)
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) y))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (*.f64 y #s(literal -1/2 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) y))
(neg.f64 (/.f64 #s(literal 2 binary64) y))
(/.f64 #s(literal -2 binary64) y)
(/.f64 (/.f64 #s(literal -2 binary64) y) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) y))
(/.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1/2 binary64))
(/.f64 (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 2 binary64) y))) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) y)))
(pow.f64 (/.f64 #s(literal -2 binary64) y) #s(literal 1 binary64))
(pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y #s(literal -1/2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 y #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal -2 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) y) #s(literal -1 binary64))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -2 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 y #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64))))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))) y)

simplify9.0ms (0.1%)

Memory
-20.2MiB live, 18.6MiB allocated
Algorithm
1×egg-herbie
Rules
12×*-lowering-*.f32
12×*-lowering-*.f64
6×*-commutative
6×/-lowering-/.f32
6×/-lowering-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07228
110228
211228
312228
012228
Stop Event
1×iter limit
1×saturated
Counts
60 → 60
Calls
Call 1
Inputs
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(/ -2 y)
(/ -2 y)
(/ -2 y)
(/ -2 y)
(/ -2 y)
(/ -2 y)
(/ -2 y)
(/ -2 y)
(/ -2 y)
(/ -2 y)
(/ -2 y)
(/ -2 y)
Outputs
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -2 (/ x y))
(*.f64 #s(literal -2 binary64) (/.f64 x y))
(* -2 (/ x y))
(*.f64 #s(literal -2 binary64) (/.f64 x y))
(* -2 (/ x y))
(*.f64 #s(literal -2 binary64) (/.f64 x y))
(* -2 (/ x y))
(*.f64 #s(literal -2 binary64) (/.f64 x y))
(* -2 (/ x y))
(*.f64 #s(literal -2 binary64) (/.f64 x y))
(* -2 (/ x y))
(*.f64 #s(literal -2 binary64) (/.f64 x y))
(* -2 (/ x y))
(*.f64 #s(literal -2 binary64) (/.f64 x y))
(* -2 (/ x y))
(*.f64 #s(literal -2 binary64) (/.f64 x y))
(* -2 (/ x y))
(*.f64 #s(literal -2 binary64) (/.f64 x y))
(* -2 (/ x y))
(*.f64 #s(literal -2 binary64) (/.f64 x y))
(* -2 (/ x y))
(*.f64 #s(literal -2 binary64) (/.f64 x y))
(* -2 (/ x y))
(*.f64 #s(literal -2 binary64) (/.f64 x y))
(* -2 (/ x y))
(*.f64 #s(literal -2 binary64) (/.f64 x y))
(* -2 (/ x y))
(*.f64 #s(literal -2 binary64) (/.f64 x y))
(* -2 (/ x y))
(*.f64 #s(literal -2 binary64) (/.f64 x y))
(* -2 (/ x y))
(*.f64 #s(literal -2 binary64) (/.f64 x y))
(* -2 (/ x y))
(*.f64 #s(literal -2 binary64) (/.f64 x y))
(* -2 (/ x y))
(*.f64 #s(literal -2 binary64) (/.f64 x y))
(* -2 (/ x y))
(*.f64 #s(literal -2 binary64) (/.f64 x y))
(* -2 (/ x y))
(*.f64 #s(literal -2 binary64) (/.f64 x y))
(* -2 (/ x y))
(*.f64 #s(literal -2 binary64) (/.f64 x y))
(* -2 (/ x y))
(*.f64 #s(literal -2 binary64) (/.f64 x y))
(* -2 (/ x y))
(*.f64 #s(literal -2 binary64) (/.f64 x y))
(* -2 (/ x y))
(*.f64 #s(literal -2 binary64) (/.f64 x y))
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)

eval25.0ms (0.4%)

Memory
12.9MiB live, 51.5MiB allocated
Compiler

Compiled 2 038 to 404 computations (80.2% saved)

prune45.0ms (0.8%)

Memory
5.9MiB live, 43.9MiB allocated
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New2390239
Fresh000
Picked011
Done066
Total2397246
Accuracy
100.0%
Counts
246 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓77.4%
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
✓91.2%
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y)) y)
✓40.9%
(*.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) y)
✓51.4%
(*.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
✓52.1%
(*.f64 y #s(literal 2 binary64))
✓49.1%
(*.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)))
✓49.8%
(*.f64 x #s(literal -2 binary64))
Compiler

Compiled 125 to 66 computations (47.2% saved)

regimes20.0ms (0.3%)

Memory
-23.7MiB live, 18.3MiB allocated
Counts
10 → 5
Calls
Call 1
Inputs
(*.f64 x #s(literal -2 binary64))
(*.f64 y #s(literal 2 binary64))
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(*.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) y)
(*.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) y)
(*.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)))
(*.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y)) y)
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
Outputs
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y)) y)
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y)) y)
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y)) y)
Calls

3 calls:

12.0ms
y
4.0ms
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
4.0ms
x
Results
AccuracySegmentsBranch
95.8%3x
94.3%2y
99.7%5(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes7.0ms (0.1%)

Memory
14.9MiB live, 14.9MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
(*.f64 x #s(literal -2 binary64))
(*.f64 y #s(literal 2 binary64))
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(*.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) y)
(*.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) y)
(*.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)))
(*.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y)) y)
Outputs
(*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y)) y)
(*.f64 x #s(literal -2 binary64))
Calls

2 calls:

3.0ms
y
3.0ms
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
Results
AccuracySegmentsBranch
94.3%2y
91.2%1(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes12.0ms (0.2%)

Memory
-16.5MiB live, 21.2MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
(*.f64 x #s(literal -2 binary64))
(*.f64 y #s(literal 2 binary64))
(fma.f64 #s(literal -2 binary64) x #s(literal 0 binary64))
(fma.f64 y #s(literal 2 binary64) #s(literal 0 binary64))
(*.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) y)
(*.f64 (*.f64 (/.f64 #s(literal -2 binary64) y) x) y)
(*.f64 x (fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal -2 binary64)))
(*.f64 y (fma.f64 y (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
Outputs
(*.f64 x #s(literal -2 binary64))
(*.f64 y #s(literal 2 binary64))
(*.f64 x #s(literal -2 binary64))
Calls

3 calls:

5.0ms
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
69.0%4(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
78.0%3x
79.2%3y
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes4.0ms (0.1%)

Memory
8.8MiB live, 8.8MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 x #s(literal -2 binary64))
Outputs
(*.f64 x #s(literal -2 binary64))
Calls

3 calls:

1.0ms
(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
49.8%1(/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y))
49.8%1x
49.8%1y
Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
4×left-value
Steps
TimeLeftRight
0.0ms
4.1240289758780453e-47
5.77217190251337e-35
0.0ms
2.6732944968379424e-281
1.658509862030157e-276
0.0ms
-1.1648627713429195e-299
-1.2335260434727133e-304
0.0ms
-2662675603.6712275
-34758.73878114651
Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch12.0ms (0.2%)

Memory
16.6MiB live, 16.6MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
11.0ms
2.408681963743541e+203
3.942667242185399e+208
Samples
7.0ms144×0valid
Compiler

Compiled 176 to 129 computations (26.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 2.0ms (56.9% of total)
ival-sub: 1.0ms (28.4% of total)
ival-div: 1.0ms (28.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch49.0ms (0.8%)

Memory
-7.4MiB live, 30.6MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
8.0ms
2.6692838134320174e-50
3.253885480208193e-48
38.0ms
-2.7954668593918333e-31
-2.615193190578235e-33
Samples
40.0ms224×0valid
Compiler

Compiled 182 to 152 computations (16.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (54.8% of total)
ival-sub: 1.0ms (18.3% of total)
ival-div: 1.0ms (18.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify13.0ms (0.2%)

Memory
-15.6MiB live, 21.3MiB allocated
Algorithm
1×egg-herbie
Rules
12×*-commutative_binary64
8×not-or_bool
8×if-if-or-not_binary32
6×not-not_bool
6×if-not_binary32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
033119
146111
254103
362102
467102
571102
672102
773102
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal -2000000000 binary64)) (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y)) y) (if (<=.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal -7540071506325551/754007150632555106105265567894716959631281531468563222724576883120202793061715911671371697267283217963528178126800104645601692562497382897388239949720868877774169386463487004356335504882384897549598543638261948036260930759551721433617559655193833844143189700366403049053003693428749228016236154394768201795621617664 binary64)) (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (if (<=.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal 2043740476963553/40874809539271061742722513162994453833061401813718170449972167525114099545476384067275939133289179158309733311369062302596555530002300798171938238428873347488153716182038234655079172535180553977500740746128259563383414998120875425564443755897815944345745836172815483732835501982317445323323080704 binary64)) (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y)) y) (if (<=.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal 5142201741628769/102844034832575377634685573909834406561420991602098741459288064 binary64)) (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y)) y)))))
(if (<=.f64 y #s(literal 1050000000000000023016222766056107780055664532832858152146001154641071361213570642968296016973819823528205914066900709173886769647945940839989440037950519193047104875592578734358593589260602474041656213504 binary64)) (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y)) y) (*.f64 x #s(literal -2 binary64)))
(if (<=.f64 y #s(literal -1313067877289483/5708990770823839524233143877797980545530986496 binary64)) (*.f64 x #s(literal -2 binary64)) (if (<=.f64 y #s(literal 8885724609534513/6582018229284824168619876730229402019930943462534319453394436096 binary64)) (*.f64 y #s(literal 2 binary64)) (*.f64 x #s(literal -2 binary64))))
(*.f64 x #s(literal -2 binary64))
Outputs
(if (<=.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal -2000000000 binary64)) (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y)) y) (if (<=.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal -7540071506325551/754007150632555106105265567894716959631281531468563222724576883120202793061715911671371697267283217963528178126800104645601692562497382897388239949720868877774169386463487004356335504882384897549598543638261948036260930759551721433617559655193833844143189700366403049053003693428749228016236154394768201795621617664 binary64)) (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (if (<=.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal 2043740476963553/40874809539271061742722513162994453833061401813718170449972167525114099545476384067275939133289179158309733311369062302596555530002300798171938238428873347488153716182038234655079172535180553977500740746128259563383414998120875425564443755897815944345745836172815483732835501982317445323323080704 binary64)) (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y)) y) (if (<=.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal 5142201741628769/102844034832575377634685573909834406561420991602098741459288064 binary64)) (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y)) y)))))
(if (<=.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal -2000000000 binary64)) (*.f64 y (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y))) (if (<=.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal -7540071506325551/754007150632555106105265567894716959631281531468563222724576883120202793061715911671371697267283217963528178126800104645601692562497382897388239949720868877774169386463487004356335504882384897549598543638261948036260930759551721433617559655193833844143189700366403049053003693428749228016236154394768201795621617664 binary64)) (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (if (<=.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal 2043740476963553/40874809539271061742722513162994453833061401813718170449972167525114099545476384067275939133289179158309733311369062302596555530002300798171938238428873347488153716182038234655079172535180553977500740746128259563383414998120875425564443755897815944345745836172815483732835501982317445323323080704 binary64)) (*.f64 y (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y))) (if (<=.f64 (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) #s(literal 5142201741628769/102844034832575377634685573909834406561420991602098741459288064 binary64)) (/.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) y) (-.f64 x y)) (*.f64 y (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y)))))))
(if (<=.f64 y #s(literal 1050000000000000023016222766056107780055664532832858152146001154641071361213570642968296016973819823528205914066900709173886769647945940839989440037950519193047104875592578734358593589260602474041656213504 binary64)) (*.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y)) y) (*.f64 x #s(literal -2 binary64)))
(if (<=.f64 y #s(literal 1050000000000000023016222766056107780055664532832858152146001154641071361213570642968296016973819823528205914066900709173886769647945940839989440037950519193047104875592578734358593589260602474041656213504 binary64)) (*.f64 y (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 x y))) (*.f64 x #s(literal -2 binary64)))
(if (<=.f64 y #s(literal -1313067877289483/5708990770823839524233143877797980545530986496 binary64)) (*.f64 x #s(literal -2 binary64)) (if (<=.f64 y #s(literal 8885724609534513/6582018229284824168619876730229402019930943462534319453394436096 binary64)) (*.f64 y #s(literal 2 binary64)) (*.f64 x #s(literal -2 binary64))))
(if (<=.f64 y #s(literal -1313067877289483/5708990770823839524233143877797980545530986496 binary64)) (*.f64 x #s(literal -2 binary64)) (if (<=.f64 y #s(literal 8885724609534513/6582018229284824168619876730229402019930943462534319453394436096 binary64)) (*.f64 #s(literal 2 binary64) y) (*.f64 x #s(literal -2 binary64))))
(*.f64 x #s(literal -2 binary64))

soundness506.0ms (8.4%)

Memory
25.3MiB live, 426.8MiB allocated
Rules
14 398×accelerator-lowering-fma.f32
14 398×accelerator-lowering-fma.f64
9 292×accelerator-lowering-fma.f32
9 292×accelerator-lowering-fma.f64
5 632×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0136557
1378543
21013523
33112517
46444517
08173486
02166
113366
2109266
0861662
0720
13620
224620
3274720
0920220
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 197 to 83 computations (57.9% saved)

preprocess77.0ms (1.3%)

Memory
6.5MiB live, 126.8MiB allocated
Compiler

Compiled 358 to 112 computations (68.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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