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

Time bar (total: 9.0s)

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample581.0ms (6.4%)

Memory
-34.3MiB live, 1 059.3MiB allocated
Samples
349.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 165.0ms
ival-mult: 109.0ms (65.9% of total)
ival-sub: 43.0ms (26% of total)
ival-true: 5.0ms (3% of total)
exact: 5.0ms (3% of total)
ival-assert: 3.0ms (1.8% of total)
Bogosity

preprocess200.0ms (2.2%)

Memory
24.9MiB live, 109.6MiB allocated
Algorithm
egg-herbie
Rules
678×unsub-neg
464×accelerator-lowering-fma.f32
464×accelerator-lowering-fma.f64
422×distribute-lft-in
294×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01848
16044
222542
376142
4129142
5190442
6191142
7191142
067
1147
2377
3777
41677
52447
63527
75417
86587
96957
06957
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(* (* x y) (- 1 y))
Outputs
(* (* x y) (- 1 y))
(fma.f64 (fma.f64 x y #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
Call 2
Inputs
(* (* x y) (- 1 y))
(* (* (neg x) y) (- 1 y))
(* (* x (neg y)) (- 1 (neg y)))
(neg (* (* (neg x) y) (- 1 y)))
(neg (* (* x (neg y)) (- 1 (neg y))))
(* (* y x) (- 1 x))
Outputs
(* (* x y) (- 1 y))
(* x (- y (* y y)))
(* (* (neg x) y) (- 1 y))
(* x (- (* y y) y))
(* (* x (neg y)) (- 1 (neg y)))
(* (* x y) (- -1 y))
(neg (* (* (neg x) y) (- 1 y)))
(* x (- y (* y y)))
(neg (* (* x (neg y)) (- 1 (neg y))))
(* x (+ y (* y y)))
(* (* y x) (- 1 x))
(* x (- y (* x y)))
Symmetry

(negabs x)

explain136.0ms (1.5%)

Memory
-35.4MiB live, 124.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(-.f64 #s(literal 1 binary64) y)
00-0-(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
00-0-y
00-0-#s(literal 1 binary64)
00-0-(*.f64 x y)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
46.0ms512×0valid
Compiler

Compiled 54 to 28 computations (48.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-sub: 27.0ms (79.9% of total)
ival-mult: 6.0ms (17.8% 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
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

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

Compiled 9 to 6 computations (33.3% saved)

simplify25.0ms (0.3%)

Memory
34.5MiB live, 34.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff-64
(*.f64 x y)
cost-diff-64
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
cost-diff0
(-.f64 #s(literal 1 binary64) y)
Rules
464×accelerator-lowering-fma.f32
464×accelerator-lowering-fma.f64
280×*-lowering-*.f32
280×*-lowering-*.f64
174×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0616
11416
23716
37716
416716
524416
635216
754116
865816
969516
069516
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* (* x y) (- 1 y))
(* x y)
x
y
(- 1 y)
1
Outputs
(* (* x y) (- 1 y))
(fma.f64 (fma.f64 x y #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
x
y
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)

localize33.0ms (0.4%)

Memory
-13.1MiB live, 25.4MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 #s(literal 1 binary64) y)
accuracy100.0%
(*.f64 x y)
accuracy99.9%
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Samples
12.0ms256×0valid
Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (61.6% of total)
ival-sub: 1.0ms (20.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
7.7MiB live, 7.7MiB allocated
Counts
3 → 60
Calls
Call 1
Inputs
#<alt (- 1 y)>
#<alt (* (* x y) (- 1 y))>
#<alt (* x y)>
Outputs
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ 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

15 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(* x y)
1.0ms
x
@0
(* (* x y) (- 1 y))
1.0ms
y
@0
(* (* x y) (- 1 y))
0.0ms
y
@-inf
(* (* x y) (- 1 y))
0.0ms
y
@inf
(* (* x y) (- 1 y))

rewrite459.0ms (5.1%)

Memory
10.8MiB live, 321.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 316×accelerator-lowering-fma.f32
4 316×accelerator-lowering-fma.f64
3 996×/-lowering-/.f32
3 996×/-lowering-/.f64
3 530×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
12713
216213
3133913
0954812
Stop Event
iter limit
node limit
Counts
3 → 425
Calls
Call 1
Inputs
(- 1 y)
(* (* x y) (- 1 y))
(* x y)
Outputs
(+.f64 #s(literal 1 binary64) y)
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))
(+.f64 y #s(literal 1 binary64))
(+.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) y))
(+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) y)
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (+.f64 y #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))) (+.f64 y #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (*.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))) (/.f64 (*.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 y y)) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))
(-.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))))) (/.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) y)) (fma.f64 (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)))))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) y)) (fma.f64 (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)))))))
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))) (/.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))))
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) y)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)))) (/.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (fma.f64 y y #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) y)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 y y #s(literal 1 binary64)))) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 y y #s(literal 1 binary64)))))
(-.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) y #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y))))
(fma.f64 y #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 y #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal 1 binary64))
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(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (*.f64 y (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y (fma.f64 y y #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 x (/.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))))) (/.f64 y (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 x (/.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) (/.f64 y (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y y)))))) (/.f64 y (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))))) (/.f64 (*.f64 y x) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) (/.f64 (*.f64 y x) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (/.f64 x (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 (*.f64 y (fma.f64 y y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) (/.f64 (*.f64 y x) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y y)))))) (/.f64 (*.f64 y x) (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (/.f64 x #s(literal 1 binary64)) (fma.f64 y y y))
(*.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (/.f64 (*.f64 y x) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))))) (/.f64 (*.f64 y x) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))))
(*.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 y y)))) (/.f64 (*.f64 y x) (+.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 x (fma.f64 (fma.f64 y y y) (*.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 (*.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y y y) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64))))) (/.f64 (*.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))))
(*.f64 (/.f64 x (fma.f64 y y #s(literal 1 binary64))) (/.f64 (*.f64 y (fma.f64 y y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))))
(*.f64 (/.f64 x (/.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (/.f64 (*.f64 y (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(*.f64 (/.f64 x (/.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))))) (/.f64 (*.f64 y (fma.f64 y y #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))))
(*.f64 (/.f64 x (/.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 y y)))) (/.f64 (*.f64 y (fma.f64 y y #s(literal 1 binary64))) (+.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) (/.f64 (*.f64 y x) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 y x) (fma.f64 (fma.f64 y y y) (*.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y y y) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64))))) (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(*.f64 (/.f64 y (/.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))))) (/.f64 x (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 y (/.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) (/.f64 x (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (/.f64 y (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) (/.f64 x (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 y (/.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y y)))))) (/.f64 x (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 y (fma.f64 y y #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 y (/.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (/.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(*.f64 (/.f64 y (/.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))))) (/.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))))
(*.f64 (/.f64 y (/.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 y y)))) (/.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (+.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 y #s(literal 1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (*.f64 y x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (*.f64 y x) (fma.f64 y y #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (*.f64 y x) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 y x) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 y x) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))))) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))))
(*.f64 (/.f64 (*.f64 y x) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 y y)))) (+.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 y x) (/.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 y x) (/.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 y x) (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 y x) (/.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) x) (fma.f64 (fma.f64 y y y) (*.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y y y) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64))))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 y (fma.f64 y y #s(literal 1 binary64))) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (/.f64 x (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 y (fma.f64 y y #s(literal 1 binary64))) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))))) (/.f64 x (-.f64 #s(literal -1 binary64) (fma.f64 y y y))))
(*.f64 (/.f64 (*.f64 y (fma.f64 y y #s(literal 1 binary64))) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 y y)))) (/.f64 x (+.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y y))
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (/.f64 y (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) #s(literal 1 binary64)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))))) (/.f64 y (-.f64 #s(literal -1 binary64) (fma.f64 y y y))))
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 y y)))) (/.f64 y (+.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 y x) #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 y x))
(*.f64 y x)
(*.f64 x y)
(*.f64 (*.f64 y x) #s(literal 1 binary64))

simplify349.0ms (3.9%)

Memory
-3.4MiB live, 271.3MiB allocated
Algorithm
egg-herbie
Rules
4 438×*-lowering-*.f32
4 438×*-lowering-*.f64
4 216×accelerator-lowering-fma.f32
4 216×accelerator-lowering-fma.f64
1 646×cube-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027266
170266
2165266
3263266
4636266
52116266
64183266
75679266
86553266
97129266
107753266
08261266
Stop Event
iter limit
node limit
Counts
60 → 60
Calls
Call 1
Inputs
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(* -1 y)
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* -1 y)
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* x y)
(* x y)
(* x y)
(* x y)
(* 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
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* x (* y (- 1 y)))
(fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y (- 1 y)))
(fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y (- 1 y)))
(fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y (- 1 y)))
(fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y (- 1 y)))
(fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y (- 1 y)))
(fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y (- 1 y)))
(fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y (- 1 y)))
(fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y (- 1 y)))
(fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y (- 1 y)))
(fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y (- 1 y)))
(fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y (- 1 y)))
(fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* y (+ x (* -1 (* x y))))
(fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* y (+ x (* -1 (* x y))))
(fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* y (+ x (* -1 (* x y))))
(fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* x (pow y 2)))
(-.f64 #s(literal 0 binary64) (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* x (pow y 2)))
(-.f64 #s(literal 0 binary64) (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))

eval148.0ms (1.6%)

Memory
3.9MiB live, 78.6MiB allocated
Compiler

Compiled 13 786 to 1 271 computations (90.8% saved)

prune120.0ms (1.3%)

Memory
-3.7MiB live, 123.9MiB allocated
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New47510485
Fresh000
Picked011
Done000
Total47511486
Accuracy
100.0%
Counts
486 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.5%
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) x (*.f64 y x))
99.9%
(fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
99.9%
(fma.f64 y x (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y x))))
59.3%
(fma.f64 y x #s(literal 0 binary64))
69.9%
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) (*.f64 y x)) (-.f64 #s(literal -1 binary64) (fma.f64 y y y)))
33.4%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y x) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y x)))) (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (*.f64 y (*.f64 y x)) (*.f64 y (*.f64 y x))))))
94.4%
(-.f64 (*.f64 y x) (*.f64 (*.f64 y x) y))
60.8%
(*.f64 (/.f64 (*.f64 y (*.f64 x (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64))))) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
68.4%
(*.f64 (/.f64 y (/.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y y)))))) (/.f64 x (fma.f64 y y #s(literal 1 binary64))))
92.9%
(*.f64 (*.f64 x y) (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
99.9%
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 363 to 188 computations (48.2% saved)

simplify271.0ms (3%)

Memory
20.1MiB live, 371.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 #s(literal 1 binary64) y)
cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y y)))))
cost-diff320
(/.f64 y (/.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y y))))))
cost-diff384
(*.f64 (/.f64 y (/.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y y)))))) (/.f64 x (fma.f64 y y #s(literal 1 binary64))))
cost-diff-64
(*.f64 (*.f64 x y) (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff0
(-.f64 #s(literal 0 binary64) (*.f64 y y))
cost-diff1472
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
cost-diff-64
(*.f64 (*.f64 y x) y)
cost-diff-64
(*.f64 y x)
cost-diff384
(-.f64 (*.f64 y x) (*.f64 (*.f64 y x) y))
cost-diff0
(fma.f64 y x #s(literal 0 binary64))
cost-diff-64
(*.f64 y x)
cost-diff-64
(*.f64 y (*.f64 y x))
cost-diff0
(-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y x)))
cost-diff384
(fma.f64 y x (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y x))))
Rules
6 016×accelerator-lowering-fma.f32
6 016×accelerator-lowering-fma.f64
4 438×*-lowering-*.f32
4 438×*-lowering-*.f64
1 892×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027168
185150
2248149
3733145
42045141
54675141
08086138
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (* y x) (- 0 (* y (* y x))))
y
x
(- 0 (* y (* y x)))
0
(* y (* y x))
(* y x)
(+ (* y x) 0)
y
x
0
(- (* y x) (* (* y x) y))
(* y x)
y
x
(* (* y x) y)
(* (* x y) (+ (* (- 0 (* y y)) (/ 1 y)) 1))
(* x y)
x
y
(+ (* (- 0 (* y y)) (/ 1 y)) 1)
(- 0 (* y y))
0
(* y y)
(/ 1 y)
1
(* (/ y (/ (+ 1 y) (- 1 (* y (* y (* y y)))))) (/ x (+ (* y y) 1)))
(/ y (/ (+ 1 y) (- 1 (* y (* y (* y y))))))
y
(/ (+ 1 y) (- 1 (* y (* y (* y y)))))
(+ 1 y)
1
(- 1 (* y (* y (* y y))))
(* y (* y (* y y)))
(* y (* y y))
(* y y)
(/ x (+ (* y y) 1))
x
(+ (* y y) 1)
Outputs
(+ (* y x) (- 0 (* y (* y x))))
(fma.f64 (fma.f64 y x #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
y
x
(- 0 (* y (* y x)))
(fma.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64))
0
#s(literal 0 binary64)
(* y (* y x))
(fma.f64 x (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))
(* y x)
(fma.f64 y x #s(literal 0 binary64))
(+ (* y x) 0)
(fma.f64 y x #s(literal 0 binary64))
y
x
0
#s(literal 0 binary64)
(- (* y x) (* (* y x) y))
(fma.f64 (fma.f64 y x #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* y x)
(fma.f64 y x #s(literal 0 binary64))
y
x
(* (* y x) y)
(fma.f64 x (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))
(* (* x y) (+ (* (- 0 (* y y)) (/ 1 y)) 1))
(fma.f64 (fma.f64 y x #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
x
y
(+ (* (- 0 (* y y)) (/ 1 y)) 1)
(-.f64 #s(literal 1 binary64) y)
(- 0 (* y y))
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))
0
#s(literal 0 binary64)
(* y y)
(fma.f64 y y #s(literal 0 binary64))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
(* (/ y (/ (+ 1 y) (- 1 (* y (* y (* y y)))))) (/ x (+ (* y y) 1)))
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 y x #s(literal 0 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64))))))
(/ y (/ (+ 1 y) (- 1 (* y (* y (* y y))))))
(fma.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 0 binary64))
y
(/ (+ 1 y) (- 1 (* y (* y (* y y)))))
(/.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)))
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
1
#s(literal 1 binary64)
(- 1 (* y (* y (* y y))))
(fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64))
(* y (* y (* y y)))
(fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* y (* y y))
(fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))
(* y y)
(fma.f64 y y #s(literal 0 binary64))
(/ x (+ (* y y) 1))
(/.f64 x (fma.f64 y y #s(literal 1 binary64)))
x
(+ (* y y) 1)
(fma.f64 y y #s(literal 1 binary64))

localize119.0ms (1.3%)

Memory
-27.8MiB live, 165.4MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(*.f64 y (*.f64 y y))
accuracy95.7%
(/.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y y)))))
accuracy94.9%
(/.f64 x (fma.f64 y y #s(literal 1 binary64)))
accuracy74.7%
(*.f64 (/.f64 y (/.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y y)))))) (/.f64 x (fma.f64 y y #s(literal 1 binary64))))
accuracy100.0%
(*.f64 y y)
accuracy100.0%
(*.f64 x y)
accuracy99.9%
(*.f64 (*.f64 x y) (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
accuracy78.4%
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
accuracy100.0%
(*.f64 y x)
accuracy99.8%
(*.f64 (*.f64 y x) y)
accuracy94.5%
(-.f64 (*.f64 y x) (*.f64 (*.f64 y x) y))
accuracy100.0%
(fma.f64 y x #s(literal 0 binary64))
accuracy100.0%
(fma.f64 y x (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y x))))
accuracy100.0%
(-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y x)))
accuracy100.0%
(*.f64 y x)
accuracy99.8%
(*.f64 y (*.f64 y x))
Samples
70.0ms256×0valid
Compiler

Compiled 188 to 29 computations (84.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-mult: 36.0ms (67.1% of total)
ival-div: 7.0ms (13% of total)
ival-add: 5.0ms (9.3% of total)
ival-sub: 4.0ms (7.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series18.0ms (0.2%)

Memory
38.0MiB live, 38.0MiB allocated
Counts
19 → 360
Calls
Call 1
Inputs
#<alt (+ (* y x) (- 0 (* y (* y x))))>
#<alt (- 0 (* y (* y x)))>
#<alt (* y (* y x))>
#<alt (* y x)>
#<alt (+ (* y x) 0)>
#<alt (- (* y x) (* (* y x) y))>
#<alt (* (* y x) y)>
#<alt (+ (* (- 0 (* y y)) (/ 1 y)) 1)>
#<alt (- 0 (* y y))>
#<alt (/ 1 y)>
#<alt (* (* x y) (+ (* (- 0 (* y y)) (/ 1 y)) 1))>
#<alt (* (/ y (/ (+ 1 y) (- 1 (* y (* y (* y y)))))) (/ x (+ (* y y) 1)))>
#<alt (/ y (/ (+ 1 y) (- 1 (* y (* y (* y y))))))>
#<alt (/ (+ 1 y) (- 1 (* y (* y (* y y)))))>
#<alt (+ 1 y)>
#<alt (* x y)>
#<alt (* y y)>
#<alt (/ x (+ (* y y) 1))>
#<alt (* y (* y y))>
Outputs
#<alt (* x y)>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* (pow y 2) (- (/ x y) x))>
#<alt (* (pow y 2) (- (/ x y) x))>
#<alt (* (pow y 2) (- (/ x y) x))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* (pow y 2) (- (/ x y) x))>
#<alt (* (pow y 2) (- (/ x y) x))>
#<alt (* (pow y 2) (- (/ x y) x))>
#<alt (* x (- y (pow y 2)))>
#<alt (* x (- y (pow y 2)))>
#<alt (* x (- y (pow y 2)))>
#<alt (* x (- y (pow y 2)))>
#<alt (* x (- y (pow y 2)))>
#<alt (* x (- y (pow y 2)))>
#<alt (* x (- y (pow y 2)))>
#<alt (* x (- y (pow y 2)))>
#<alt (* -1 (* x (- (* -1 y) (* -1 (pow y 2)))))>
#<alt (* -1 (* x (- (* -1 y) (* -1 (pow y 2)))))>
#<alt (* -1 (* x (- (* -1 y) (* -1 (pow y 2)))))>
#<alt (* -1 (* x (- (* -1 y) (* -1 (pow y 2)))))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow 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 (* 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)>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* (pow y 2) (- (/ x y) x))>
#<alt (* (pow y 2) (- (/ x y) x))>
#<alt (* (pow y 2) (- (/ x y) x))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* (pow y 2) (- (/ x y) x))>
#<alt (* (pow y 2) (- (/ x y) x))>
#<alt (* (pow y 2) (- (/ x y) x))>
#<alt (* x (- y (pow y 2)))>
#<alt (* x (- y (pow y 2)))>
#<alt (* x (- y (pow y 2)))>
#<alt (* x (- y (pow y 2)))>
#<alt (* x (- y (pow y 2)))>
#<alt (* x (- y (pow y 2)))>
#<alt (* x (- y (pow y 2)))>
#<alt (* x (- y (pow y 2)))>
#<alt (* -1 (* x (- (* -1 y) (* -1 (pow y 2)))))>
#<alt (* -1 (* x (- (* -1 y) (* -1 (pow y 2)))))>
#<alt (* -1 (* x (- (* -1 y) (* -1 (pow y 2)))))>
#<alt (* -1 (* x (- (* -1 y) (* -1 (pow y 2)))))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (* -1 (pow y 2))>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (* x (* y (+ 1 (* -1 y))))>
#<alt (* x (* y (+ 1 (* -1 y))))>
#<alt (* x (* y (+ 1 (* -1 y))))>
#<alt (* x (* y (+ 1 (* -1 y))))>
#<alt (* x (* y (+ 1 (* -1 y))))>
#<alt (* x (* y (+ 1 (* -1 y))))>
#<alt (* x (* y (+ 1 (* -1 y))))>
#<alt (* x (* y (+ 1 (* -1 y))))>
#<alt (* x (* y (+ 1 (* -1 y))))>
#<alt (* x (* y (+ 1 (* -1 y))))>
#<alt (* x (* y (+ 1 (* -1 y))))>
#<alt (* x (* y (+ 1 (* -1 y))))>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* y (+ x (* y (- (* -1 (* y (+ x (* -1 x)))) x))))>
#<alt (* y (+ x (* y (- (* y (- (* -1 (* y (+ x (+ (* -1 x) (* -1 (+ x (* -1 x))))))) (+ x (* -1 x)))) x))))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* (pow y 2) (- (+ (* -1 x) (* -1 (/ (+ x (* -1 x)) (pow y 2)))) (* -1 (/ x y))))>
#<alt (* (pow y 2) (- (+ (* -1 x) (* -1 (/ (+ x (+ (* -1 x) (* -1 (+ x (* -1 x))))) (pow y 3)))) (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2))))))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (* -1 x)) y))) y))))>
#<alt (* (pow y 2) (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -2 x) (* 2 x)) y)))) y))) y))))>
#<alt (/ (* x (* y (- 1 (pow y 4)))) (* (+ 1 y) (+ 1 (pow y 2))))>
#<alt (/ (* x (* y (- 1 (pow y 4)))) (* (+ 1 y) (+ 1 (pow y 2))))>
#<alt (/ (* x (* y (- 1 (pow y 4)))) (* (+ 1 y) (+ 1 (pow y 2))))>
#<alt (/ (* x (* y (- 1 (pow y 4)))) (* (+ 1 y) (+ 1 (pow y 2))))>
#<alt (/ (* x (* y (- 1 (pow y 4)))) (* (+ 1 y) (+ 1 (pow y 2))))>
#<alt (/ (* x (* y (- 1 (pow y 4)))) (* (+ 1 y) (+ 1 (pow y 2))))>
#<alt (/ (* x (* y (- 1 (pow y 4)))) (* (+ 1 y) (+ 1 (pow y 2))))>
#<alt (/ (* x (* y (- 1 (pow y 4)))) (* (+ 1 y) (+ 1 (pow y 2))))>
#<alt (/ (* x (* y (- 1 (pow y 4)))) (* (+ 1 y) (+ 1 (pow y 2))))>
#<alt (/ (* x (* y (- 1 (pow y 4)))) (* (+ 1 y) (+ 1 (pow y 2))))>
#<alt (/ (* x (* y (- 1 (pow y 4)))) (* (+ 1 y) (+ 1 (pow y 2))))>
#<alt (/ (* x (* y (- 1 (pow y 4)))) (* (+ 1 y) (+ 1 (pow y 2))))>
#<alt y>
#<alt (* y (+ 1 (* -1 y)))>
#<alt (* y (+ 1 (* y (- y 1))))>
#<alt (* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))>
#<alt (* -1 (pow y 4))>
#<alt (* (pow y 4) (- (/ 1 y) 1))>
#<alt (* (pow y 4) (- (/ 1 y) (+ 1 (/ 1 (pow y 2)))))>
#<alt (* (pow y 4) (- (+ (/ 1 y) (/ 1 (pow y 3))) (+ 1 (/ 1 (pow y 2)))))>
#<alt (* -1 (pow y 4))>
#<alt (* (pow y 4) (- (/ 1 y) 1))>
#<alt (* (pow y 4) (- (* -1 (/ (- (/ 1 y) 1) y)) 1))>
#<alt (* (pow y 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y)) 1))>
#<alt 1>
#<alt (+ 1 y)>
#<alt (+ 1 (* y (+ 1 (pow y 3))))>
#<alt (+ 1 (* y (+ 1 (* (pow y 3) (+ 1 y)))))>
#<alt (/ -1 (pow y 3))>
#<alt (* -1 (/ (+ 1 (/ 1 y)) (pow y 3)))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow y 3))) y)) 1) (pow y 3))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 y)) (pow y 4))) (+ 1 (/ 1 y))) (pow y 3))>
#<alt (/ -1 (pow y 3))>
#<alt (* -1 (/ (+ 1 (/ 1 y)) (pow y 3)))>
#<alt (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 4)))) (pow y 3)))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) (pow y 3))) 1) y))) (pow y 3)))>
#<alt 1>
#<alt (+ 1 y)>
#<alt (+ 1 y)>
#<alt (+ 1 y)>
#<alt y>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt y>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 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)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (/ x (+ 1 (pow y 2)))>
#<alt (/ x (+ 1 (pow y 2)))>
#<alt (/ x (+ 1 (pow y 2)))>
#<alt (/ x (+ 1 (pow y 2)))>
#<alt (/ x (+ 1 (pow y 2)))>
#<alt (/ x (+ 1 (pow y 2)))>
#<alt (/ x (+ 1 (pow y 2)))>
#<alt (/ x (+ 1 (pow y 2)))>
#<alt (/ x (+ 1 (pow y 2)))>
#<alt (/ x (+ 1 (pow y 2)))>
#<alt (/ x (+ 1 (pow y 2)))>
#<alt (/ x (+ 1 (pow y 2)))>
#<alt x>
#<alt (+ x (* -1 (* x (pow y 2))))>
#<alt (+ x (* (pow y 2) (- (* x (pow y 2)) x)))>
#<alt (+ x (* (pow y 2) (- (* (pow y 2) (- (* -1 (* x (pow y 2))) (* -1 x))) x)))>
#<alt (/ x (pow y 2))>
#<alt (/ (+ x (* -1 (/ x (pow y 2)))) (pow y 2))>
#<alt (/ (- (+ x (/ x (pow y 4))) (/ x (pow y 2))) (pow y 2))>
#<alt (/ (- (+ x (* -1 (/ x (pow y 6)))) (+ (* -1 (/ x (pow y 4))) (/ x (pow y 2)))) (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ (+ x (* -1 (/ x (pow y 2)))) (pow y 2))>
#<alt (/ (- (+ x (/ x (pow y 4))) (/ x (pow y 2))) (pow y 2))>
#<alt (/ (- (+ x (* -1 (/ x (pow y 6)))) (+ (* -1 (/ x (pow y 4))) (/ x (pow y 2)))) (pow y 2))>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
#<alt (pow y 3)>
Calls

90 calls:

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

rewrite475.0ms (5.2%)

Memory
-24.1MiB live, 871.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 358×accelerator-lowering-fma.f32
4 358×accelerator-lowering-fma.f64
3 776×/-lowering-/.f32
3 776×/-lowering-/.f64
2 328×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027136
1215124
22172109
09499102
Stop Event
iter limit
node limit
Counts
19 → 2 132
Calls
Call 1
Inputs
(+ (* y x) (- 0 (* y (* y x))))
(- 0 (* y (* y x)))
(* y (* y x))
(* y x)
(+ (* y x) 0)
(- (* y x) (* (* y x) y))
(* (* y x) y)
(+ (* (- 0 (* y y)) (/ 1 y)) 1)
(- 0 (* y y))
(/ 1 y)
(* (* x y) (+ (* (- 0 (* y y)) (/ 1 y)) 1))
(* (/ y (/ (+ 1 y) (- 1 (* y (* y (* y y)))))) (/ x (+ (* y y) 1)))
(/ y (/ (+ 1 y) (- 1 (* y (* y (* y y))))))
(/ (+ 1 y) (- 1 (* y (* y (* y y)))))
(+ 1 y)
(* x y)
(* y y)
(/ x (+ (* y y) 1))
(* y (* y y))
Outputs
(+.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)))
(+.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 y y y) #s(literal 0 binary64)))
(+.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x (fma.f64 y y y) #s(literal 0 binary64))))
(+.f64 (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y x #s(literal 0 binary64)))
(+.f64 (fma.f64 x (fma.f64 y y y) #s(literal 0 binary64)) #s(literal 0 binary64))
(+.f64 (fma.f64 x (fma.f64 y y y) #s(literal 0 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 0 binary64)))
(+.f64 (fma.f64 x (fma.f64 y y y) #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1 binary64))))
(+.f64 (/.f64 (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 x (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (*.f64 x (fma.f64 y x #s(literal 0 binary64))) (*.f64 (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 y y y) #s(literal 0 binary64))))) (neg.f64 (/.f64 (*.f64 (*.f64 y (fma.f64 y y #s(literal 0 binary64))) (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 x (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 y (*.f64 x (fma.f64 y x #s(literal 0 binary64))) (*.f64 (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 y y y) #s(literal 0 binary64)))))))
(+.f64 (/.f64 (fma.f64 x (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 y y y) #s(literal 0 binary64))) (neg.f64 (/.f64 (fma.f64 (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 y y y) #s(literal 0 binary64)))))
(+.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 y y y) #s(literal 0 binary64)))
(+.f64 (*.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1 binary64))) (fma.f64 x (fma.f64 y y y) #s(literal 0 binary64)))
(-.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)))
(-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 y y y) #s(literal 0 binary64)))
(-.f64 (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y x #s(literal 0 binary64)))
(-.f64 (/.f64 (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 x (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (*.f64 x (fma.f64 y x #s(literal 0 binary64))) (*.f64 (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 y y y) #s(literal 0 binary64))))) (/.f64 (*.f64 (*.f64 y (fma.f64 y y #s(literal 0 binary64))) (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 x (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 y (*.f64 x (fma.f64 y x #s(literal 0 binary64))) (*.f64 (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 y y y) #s(literal 0 binary64))))))
(-.f64 (/.f64 (fma.f64 x (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 y y y) #s(literal 0 binary64))) (/.f64 (fma.f64 (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 y y y) #s(literal 0 binary64))))
(-.f64 (/.f64 (fma.f64 (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 y y y) #s(literal 0 binary64))) (/.f64 (fma.f64 x (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 y y y) #s(literal 0 binary64))))
(-.f64 (/.f64 (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 x (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (*.f64 y (fma.f64 x (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 y (*.f64 x (fma.f64 y x #s(literal 0 binary64))) (*.f64 y (fma.f64 x (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))))) (/.f64 (*.f64 (*.f64 y (fma.f64 y y #s(literal 0 binary64))) (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 x (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 y (*.f64 y (fma.f64 x (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 y (*.f64 x (fma.f64 y x #s(literal 0 binary64))) (*.f64 y (fma.f64 x (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))))))
(-.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 x (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (fma.f64 x (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 (*.f64 (fma.f64 x (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (*.f64 y (fma.f64 y y #s(literal 0 binary64))) (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 x (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (*.f64 (fma.f64 x (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(-.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 x (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (fma.f64 x (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 (*.f64 (fma.f64 x (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (fma.f64 x (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)))))
(-.f64 (/.f64 (*.f64 (fma.f64 x (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 (*.f64 (fma.f64 y x #s(literal 0 binary64)) (*.f64 (*.f64 y (fma.f64 y y #s(literal 0 binary64))) (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 x (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (*.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(-.f64 (/.f64 (*.f64 (fma.f64 x (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 y (fma.f64 x (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 (*.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 y (fma.f64 x (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(fma.f64 y x (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)))
(fma.f64 y (fma.f64 y x #s(literal 0 binary64)) (fma.f64 y x #s(literal 0 binary64)))
(fma.f64 y (-.f64 #s(literal 0 binary64) x) (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)))
(fma.f64 y (*.f64 x #s(literal 1 binary64)) (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)))
(fma.f64 y (+.f64 x (fma.f64 y x #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 y (+.f64 x (fma.f64 y x #s(literal 0 binary64))) (*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 y (+.f64 x (fma.f64 y x #s(literal 0 binary64))) (*.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1 binary64))))
(fma.f64 y (*.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 0 binary64))
(fma.f64 y (*.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 y (*.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1 binary64))))
(fma.f64 x y (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)))
(fma.f64 x (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y x #s(literal 0 binary64)))
(fma.f64 x (fma.f64 y y y) #s(literal 0 binary64))
(fma.f64 x (fma.f64 y y y) (*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 x (fma.f64 y y y) (*.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1 binary64))))
(fma.f64 (fma.f64 y x #s(literal 0 binary64)) y (fma.f64 y x #s(literal 0 binary64)))
(fma.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal 1 binary64) (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)))
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(/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))))) (pow.f64 (*.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) y) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) y) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 y (fma.f64 y y #s(literal 0 binary64))) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))))
(/.f64 (pow.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (*.f64 y (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))))
(/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 3 binary64)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) y) #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))))
(/.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) y) #s(literal 3 binary64)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))))
(pow.f64 y #s(literal 3 binary64))
(pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 3 binary64))
(*.f64 y (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (fma.f64 y y #s(literal 0 binary64)) y)
(*.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64))))
(*.f64 (*.f64 y (fma.f64 y y #s(literal 0 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 y (fma.f64 y y #s(literal 0 binary64))) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)))
(*.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (*.f64 y (fma.f64 y y #s(literal 0 binary64))))

simplify448.0ms (5%)

Memory
6.4MiB live, 802.9MiB allocated
Algorithm
egg-herbie
Rules
10 476×accelerator-lowering-fma.f32
10 476×accelerator-lowering-fma.f64
4 174×*-lowering-*.f32
4 174×*-lowering-*.f64
1 680×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01832190
15732089
217312062
362762050
081882018
Stop Event
iter limit
node limit
Counts
360 → 360
Calls
Call 1
Inputs
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* -1 (* x (pow y 2)))
(* (pow y 2) (- (/ x y) x))
(* (pow y 2) (- (/ x y) x))
(* (pow y 2) (- (/ x y) x))
(* -1 (* x (pow y 2)))
(* (pow y 2) (- (/ x y) x))
(* (pow y 2) (- (/ x y) x))
(* (pow y 2) (- (/ x y) x))
(* x (- y (pow y 2)))
(* x (- y (pow y 2)))
(* x (- y (pow y 2)))
(* x (- y (pow y 2)))
(* x (- y (pow y 2)))
(* x (- y (pow y 2)))
(* x (- y (pow y 2)))
(* x (- y (pow y 2)))
(* -1 (* x (- (* -1 y) (* -1 (pow y 2)))))
(* -1 (* x (- (* -1 y) (* -1 (pow y 2)))))
(* -1 (* x (- (* -1 y) (* -1 (pow y 2)))))
(* -1 (* x (- (* -1 y) (* -1 (pow y 2)))))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow 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)
(* 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)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* -1 (* x (pow y 2)))
(* (pow y 2) (- (/ x y) x))
(* (pow y 2) (- (/ x y) x))
(* (pow y 2) (- (/ x y) x))
(* -1 (* x (pow y 2)))
(* (pow y 2) (- (/ x y) x))
(* (pow y 2) (- (/ x y) x))
(* (pow y 2) (- (/ x y) x))
(* x (- y (pow y 2)))
(* x (- y (pow y 2)))
(* x (- y (pow y 2)))
(* x (- y (pow y 2)))
(* x (- y (pow y 2)))
(* x (- y (pow y 2)))
(* x (- y (pow y 2)))
(* x (- y (pow y 2)))
(* -1 (* x (- (* -1 y) (* -1 (pow y 2)))))
(* -1 (* x (- (* -1 y) (* -1 (pow y 2)))))
(* -1 (* x (- (* -1 y) (* -1 (pow y 2)))))
(* -1 (* x (- (* -1 y) (* -1 (pow y 2)))))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(* -1 y)
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* -1 y)
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(* -1 (pow y 2))
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(* x (* y (+ 1 (* -1 y))))
(* x (* y (+ 1 (* -1 y))))
(* x (* y (+ 1 (* -1 y))))
(* x (* y (+ 1 (* -1 y))))
(* x (* y (+ 1 (* -1 y))))
(* x (* y (+ 1 (* -1 y))))
(* x (* y (+ 1 (* -1 y))))
(* x (* y (+ 1 (* -1 y))))
(* x (* y (+ 1 (* -1 y))))
(* x (* y (+ 1 (* -1 y))))
(* x (* y (+ 1 (* -1 y))))
(* x (* y (+ 1 (* -1 y))))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* y (- (* -1 (* y (+ x (* -1 x)))) x))))
(* y (+ x (* y (- (* y (- (* -1 (* y (+ x (+ (* -1 x) (* -1 (+ x (* -1 x))))))) (+ x (* -1 x)))) x))))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (- (+ (* -1 x) (* -1 (/ (+ x (* -1 x)) (pow y 2)))) (* -1 (/ x y))))
(* (pow y 2) (- (+ (* -1 x) (* -1 (/ (+ x (+ (* -1 x) (* -1 (+ x (* -1 x))))) (pow y 3)))) (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2))))))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (* -1 x)) y))) y))))
(* (pow y 2) (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (+ (* -2 x) (* 2 x)) y)))) y))) y))))
(/ (* x (* y (- 1 (pow y 4)))) (* (+ 1 y) (+ 1 (pow y 2))))
(/ (* x (* y (- 1 (pow y 4)))) (* (+ 1 y) (+ 1 (pow y 2))))
(/ (* x (* y (- 1 (pow y 4)))) (* (+ 1 y) (+ 1 (pow y 2))))
(/ (* x (* y (- 1 (pow y 4)))) (* (+ 1 y) (+ 1 (pow y 2))))
(/ (* x (* y (- 1 (pow y 4)))) (* (+ 1 y) (+ 1 (pow y 2))))
(/ (* x (* y (- 1 (pow y 4)))) (* (+ 1 y) (+ 1 (pow y 2))))
(/ (* x (* y (- 1 (pow y 4)))) (* (+ 1 y) (+ 1 (pow y 2))))
(/ (* x (* y (- 1 (pow y 4)))) (* (+ 1 y) (+ 1 (pow y 2))))
(/ (* x (* y (- 1 (pow y 4)))) (* (+ 1 y) (+ 1 (pow y 2))))
(/ (* x (* y (- 1 (pow y 4)))) (* (+ 1 y) (+ 1 (pow y 2))))
(/ (* x (* y (- 1 (pow y 4)))) (* (+ 1 y) (+ 1 (pow y 2))))
(/ (* x (* y (- 1 (pow y 4)))) (* (+ 1 y) (+ 1 (pow y 2))))
y
(* y (+ 1 (* -1 y)))
(* y (+ 1 (* y (- y 1))))
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))
(* -1 (pow y 4))
(* (pow y 4) (- (/ 1 y) 1))
(* (pow y 4) (- (/ 1 y) (+ 1 (/ 1 (pow y 2)))))
(* (pow y 4) (- (+ (/ 1 y) (/ 1 (pow y 3))) (+ 1 (/ 1 (pow y 2)))))
(* -1 (pow y 4))
(* (pow y 4) (- (/ 1 y) 1))
(* (pow y 4) (- (* -1 (/ (- (/ 1 y) 1) y)) 1))
(* (pow y 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y)) 1))
1
(+ 1 y)
(+ 1 (* y (+ 1 (pow y 3))))
(+ 1 (* y (+ 1 (* (pow y 3) (+ 1 y)))))
(/ -1 (pow y 3))
(* -1 (/ (+ 1 (/ 1 y)) (pow y 3)))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow y 3))) y)) 1) (pow y 3))
(/ (- (* -1 (/ (+ 1 (/ 1 y)) (pow y 4))) (+ 1 (/ 1 y))) (pow y 3))
(/ -1 (pow y 3))
(* -1 (/ (+ 1 (/ 1 y)) (pow y 3)))
(* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 4)))) (pow y 3)))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) (pow y 3))) 1) y))) (pow y 3)))
1
(+ 1 y)
(+ 1 y)
(+ 1 y)
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 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)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(/ x (+ 1 (pow y 2)))
(/ x (+ 1 (pow y 2)))
(/ x (+ 1 (pow y 2)))
(/ x (+ 1 (pow y 2)))
(/ x (+ 1 (pow y 2)))
(/ x (+ 1 (pow y 2)))
(/ x (+ 1 (pow y 2)))
(/ x (+ 1 (pow y 2)))
(/ x (+ 1 (pow y 2)))
(/ x (+ 1 (pow y 2)))
(/ x (+ 1 (pow y 2)))
(/ x (+ 1 (pow y 2)))
x
(+ x (* -1 (* x (pow y 2))))
(+ x (* (pow y 2) (- (* x (pow y 2)) x)))
(+ x (* (pow y 2) (- (* (pow y 2) (- (* -1 (* x (pow y 2))) (* -1 x))) x)))
(/ x (pow y 2))
(/ (+ x (* -1 (/ x (pow y 2)))) (pow y 2))
(/ (- (+ x (/ x (pow y 4))) (/ x (pow y 2))) (pow y 2))
(/ (- (+ x (* -1 (/ x (pow y 6)))) (+ (* -1 (/ x (pow y 4))) (/ x (pow y 2)))) (pow y 2))
(/ x (pow y 2))
(/ (+ x (* -1 (/ x (pow y 2)))) (pow y 2))
(/ (- (+ x (/ x (pow y 4))) (/ x (pow y 2))) (pow y 2))
(/ (- (+ x (* -1 (/ x (pow y 6)))) (+ (* -1 (/ x (pow y 4))) (/ x (pow y 2)))) (pow y 2))
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
(pow y 3)
Outputs
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* y (+ x (* -1 (* x y))))
(fma.f64 (fma.f64 x y #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* y (+ x (* -1 (* x y))))
(fma.f64 (fma.f64 x y #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* y (+ x (* -1 (* x y))))
(fma.f64 (fma.f64 x y #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* -1 (* x (pow y 2)))
(-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))
(* (pow y 2) (- (/ x y) x))
(fma.f64 (fma.f64 x y #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* (pow y 2) (- (/ x y) x))
(fma.f64 (fma.f64 x y #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* (pow y 2) (- (/ x y) x))
(fma.f64 (fma.f64 x y #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* -1 (* x (pow y 2)))
(-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))
(* (pow y 2) (- (/ x y) x))
(fma.f64 (fma.f64 x y #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* (pow y 2) (- (/ x y) x))
(fma.f64 (fma.f64 x y #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* (pow y 2) (- (/ x y) x))
(fma.f64 (fma.f64 x y #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* x (- y (pow y 2)))
(fma.f64 (fma.f64 x y #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* x (- y (pow y 2)))
(fma.f64 (fma.f64 x y #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* x (- y (pow y 2)))
(fma.f64 (fma.f64 x y #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* x (- y (pow y 2)))
(fma.f64 (fma.f64 x y #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* x (- y (pow y 2)))
(fma.f64 (fma.f64 x y #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* x (- y (pow y 2)))
(fma.f64 (fma.f64 x y #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* x (- y (pow y 2)))
(fma.f64 (fma.f64 x y #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* x (- y (pow y 2)))
(fma.f64 (fma.f64 x y #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* -1 (* x (- (* -1 y) (* -1 (pow y 2)))))
(fma.f64 (fma.f64 x y #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* -1 (* x (- (* -1 y) (* -1 (pow y 2)))))
(fma.f64 (fma.f64 x y #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
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eval367.0ms (4.1%)

Memory
34.4MiB live, 881.6MiB allocated
Compiler

Compiled 83 928 to 3 850 computations (95.4% saved)

prune368.0ms (4.1%)

Memory
-51.4MiB live, 656.4MiB allocated
Pruning

13 alts after pruning (9 fresh and 4 done)

PrunedKeptTotal
New2 76282 770
Fresh415
Picked235
Done011
Total2 768132 781
Accuracy
100.0%
Counts
2 781 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
99.9%
(fma.f64 y x (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y x))))
94.3%
(-.f64 (*.f64 y x) (/.f64 (fma.f64 y x #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) y)))
94.4%
(-.f64 (*.f64 y x) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 0 binary64)))))
94.4%
(-.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)))))
94.3%
(-.f64 (*.f64 y x) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y))
60.5%
(-.f64 (*.f64 y x) (*.f64 (*.f64 (fma.f64 x (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 0 binary64)))) y))
94.4%
(-.f64 (*.f64 y x) (*.f64 (*.f64 y x) y))
59.2%
(-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 y y y) #s(literal 0 binary64)))
27.2%
(*.f64 (-.f64 #s(literal 0 binary64) x) y)
92.9%
(*.f64 (*.f64 x y) (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
99.9%
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
59.3%
(*.f64 y x)
Compiler

Compiled 282 to 166 computations (41.1% saved)

simplify88.0ms (1%)

Memory
6.9MiB live, 122.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)))
cost-diff384
(-.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)))))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64))))
cost-diff0
(fma.f64 y x #s(literal 0 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 0 binary64)))
cost-diff384
(-.f64 (*.f64 y x) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 0 binary64)))))
cost-diff1024
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 0 binary64))))
cost-diff0
(fma.f64 y y y)
cost-diff0
(fma.f64 x (fma.f64 y y y) #s(literal 0 binary64))
cost-diff0
(-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 y y y) #s(literal 0 binary64)))
cost-diff-64
(*.f64 y x)
cost-diff0
(-.f64 #s(literal 1 binary64) y)
cost-diff0
(fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
cost-diff0
(fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
Rules
928×accelerator-lowering-fma.f32
928×accelerator-lowering-fma.f64
560×*-lowering-*.f32
560×*-lowering-*.f64
428×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024114
176108
2182108
3410107
4925107
51398107
61982107
72188107
82238107
92238107
102238107
02238105
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (* y (+ (* x (- 1 y)) 0)) 0)
y
(+ (* x (- 1 y)) 0)
x
(- 1 y)
1
0
(* y x)
y
x
(- 0 (+ (* x (+ (* y y) y)) 0))
0
(+ (* x (+ (* y y) y)) 0)
x
(+ (* y y) y)
y
(- (* y x) (/ y (/ 1 (+ (* y x) 0))))
(* y x)
y
x
(/ y (/ 1 (+ (* y x) 0)))
(/ 1 (+ (* y x) 0))
1
(+ (* y x) 0)
0
(- (* y x) (/ 1 (/ 1 (+ (* y (+ (* y x) 0)) 0))))
(* y x)
y
x
(/ 1 (/ 1 (+ (* y (+ (* y x) 0)) 0)))
1
(/ 1 (+ (* y (+ (* y x) 0)) 0))
(+ (* y (+ (* y x) 0)) 0)
(+ (* y x) 0)
0
Outputs
(+ (* y (+ (* x (- 1 y)) 0)) 0)
(fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64))
y
(+ (* x (- 1 y)) 0)
(fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
x
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
0
#s(literal 0 binary64)
(* y x)
(fma.f64 y x #s(literal 0 binary64))
y
x
(- 0 (+ (* x (+ (* y y) y)) 0))
(fma.f64 y (fma.f64 x (-.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
0
#s(literal 0 binary64)
(+ (* x (+ (* y y) y)) 0)
(fma.f64 y (fma.f64 y x x) #s(literal 0 binary64))
x
(+ (* y y) y)
(fma.f64 y y y)
y
(- (* y x) (/ y (/ 1 (+ (* y x) 0))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64))
(* y x)
(fma.f64 y x #s(literal 0 binary64))
y
x
(/ y (/ 1 (+ (* y x) 0)))
(fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64))
(/ 1 (+ (* y x) 0))
(/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 0 binary64)))
1
#s(literal 1 binary64)
(+ (* y x) 0)
(fma.f64 y x #s(literal 0 binary64))
0
#s(literal 0 binary64)
(- (* y x) (/ 1 (/ 1 (+ (* y (+ (* y x) 0)) 0))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64))
(* y x)
(fma.f64 y x #s(literal 0 binary64))
y
x
(/ 1 (/ 1 (+ (* y (+ (* y x) 0)) 0)))
(fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64))
1
#s(literal 1 binary64)
(/ 1 (+ (* y (+ (* y x) 0)) 0))
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)))
(+ (* y (+ (* y x) 0)) 0)
(fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* y x) 0)
(fma.f64 y x #s(literal 0 binary64))
0
#s(literal 0 binary64)

localize79.0ms (0.9%)

Memory
14.5MiB live, 172.4MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64))
accuracy99.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64))))
accuracy99.2%
(/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)))
accuracy94.5%
(-.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)))))
accuracy100.0%
(*.f64 y x)
accuracy99.8%
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 0 binary64))))
accuracy99.1%
(/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 0 binary64)))
accuracy94.5%
(-.f64 (*.f64 y x) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 0 binary64)))))
accuracy100.0%
(fma.f64 y y y)
accuracy100.0%
(-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 y y y) #s(literal 0 binary64)))
accuracy93.0%
(fma.f64 x (fma.f64 y y y) #s(literal 0 binary64))
accuracy100.0%
(*.f64 y x)
accuracy100.0%
(-.f64 #s(literal 1 binary64) y)
accuracy100.0%
(fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
accuracy99.9%
(fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
Samples
42.0ms256×0valid
Compiler

Compiled 142 to 26 computations (81.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 9.0ms (33.2% of total)
ival-div: 6.0ms (22.1% of total)
ival-sub: 6.0ms (22.1% of total)
ival-add: 6.0ms (22.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory
-13.6MiB live, 26.0MiB allocated
Counts
15 → 336
Calls
Call 1
Inputs
#<alt (+ (* y (+ (* x (- 1 y)) 0)) 0)>
#<alt (+ (* x (- 1 y)) 0)>
#<alt (- 1 y)>
#<alt (* y x)>
#<alt (- 0 (+ (* x (+ (* y y) y)) 0))>
#<alt (+ (* x (+ (* y y) y)) 0)>
#<alt (+ (* y y) y)>
#<alt (/ y (/ 1 (+ (* y x) 0)))>
#<alt (- (* y x) (/ y (/ 1 (+ (* y x) 0))))>
#<alt (/ 1 (+ (* y x) 0))>
#<alt (+ (* y x) 0)>
#<alt (/ 1 (/ 1 (+ (* y (+ (* y x) 0)) 0)))>
#<alt (- (* y x) (/ 1 (/ 1 (+ (* y (+ (* y x) 0)) 0))))>
#<alt (/ 1 (+ (* y (+ (* y x) 0)) 0))>
#<alt (+ (* y (+ (* y x) 0)) 0)>
Outputs
#<alt (* x y)>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt x>
#<alt (+ x (* -1 (* x y)))>
#<alt (+ x (* -1 (* x y)))>
#<alt (+ x (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (/ x y)))>
#<alt (* y (+ (* -1 x) (/ x y)))>
#<alt (* y (+ (* -1 x) (/ x y)))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (+ x (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ x y)))))>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 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)>
#<alt (* -1 (* x (+ y (pow y 2))))>
#<alt (* -1 (* x (+ y (pow y 2))))>
#<alt (* -1 (* x (+ y (pow y 2))))>
#<alt (* -1 (* x (+ y (pow y 2))))>
#<alt (* -1 (* x (+ y (pow y 2))))>
#<alt (* -1 (* x (+ y (pow y 2))))>
#<alt (* -1 (* x (+ y (pow y 2))))>
#<alt (* -1 (* x (+ y (pow y 2))))>
#<alt (* -1 (* x (+ y (pow y 2))))>
#<alt (* -1 (* x (+ y (pow y 2))))>
#<alt (* -1 (* x (+ y (pow y 2))))>
#<alt (* -1 (* x (+ y (pow y 2))))>
#<alt (* -1 (* x y))>
#<alt (* y (- (* -1 (* x y)) x))>
#<alt (* y (- (* -1 (* x y)) x))>
#<alt (* y (- (* -1 (* x y)) x))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* (pow y 2) (- (* -1 (/ x y)) x))>
#<alt (* (pow y 2) (- (* -1 (/ x y)) x))>
#<alt (* (pow y 2) (- (* -1 (/ x y)) x))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* (pow y 2) (- (* -1 (/ x y)) x))>
#<alt (* (pow y 2) (- (* -1 (/ x y)) x))>
#<alt (* (pow y 2) (- (* -1 (/ x y)) x))>
#<alt (* x (+ y (pow y 2)))>
#<alt (* x (+ y (pow y 2)))>
#<alt (* x (+ y (pow y 2)))>
#<alt (* x (+ y (pow y 2)))>
#<alt (* x (+ y (pow y 2)))>
#<alt (* x (+ y (pow y 2)))>
#<alt (* x (+ y (pow y 2)))>
#<alt (* x (+ y (pow y 2)))>
#<alt (* x (+ y (pow y 2)))>
#<alt (* x (+ y (pow y 2)))>
#<alt (* x (+ y (pow y 2)))>
#<alt (* x (+ y (pow y 2)))>
#<alt (* x y)>
#<alt (* y (+ x (* x y)))>
#<alt (* y (+ x (* x y)))>
#<alt (* y (+ x (* x y)))>
#<alt (* x (pow y 2))>
#<alt (* (pow y 2) (+ x (/ x y)))>
#<alt (* (pow y 2) (+ x (/ x y)))>
#<alt (* (pow y 2) (+ x (/ x y)))>
#<alt (* x (pow y 2))>
#<alt (* (pow y 2) (+ x (/ x y)))>
#<alt (* (pow y 2) (+ x (/ x y)))>
#<alt (* (pow y 2) (+ x (/ x y)))>
#<alt y>
#<alt (* y (+ 1 y))>
#<alt (* y (+ 1 y))>
#<alt (* y (+ 1 y))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (/ 1 y)))>
#<alt (* (pow y 2) (+ 1 (/ 1 y)))>
#<alt (* (pow y 2) (+ 1 (/ 1 y)))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (/ 1 y)))>
#<alt (* (pow y 2) (+ 1 (/ 1 y)))>
#<alt (* (pow y 2) (+ 1 (/ 1 y)))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* (pow y 2) (- (/ x y) x))>
#<alt (* (pow y 2) (- (/ x y) x))>
#<alt (* (pow y 2) (- (/ x y) x))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* (pow y 2) (- (/ x y) x))>
#<alt (* (pow y 2) (- (/ x y) x))>
#<alt (* (pow y 2) (- (/ x y) x))>
#<alt (* x (- y (pow y 2)))>
#<alt (* x (- y (pow y 2)))>
#<alt (* x (- y (pow y 2)))>
#<alt (* x (- y (pow y 2)))>
#<alt (* x (- y (pow y 2)))>
#<alt (* x (- y (pow y 2)))>
#<alt (* x (- y (pow y 2)))>
#<alt (* x (- y (pow y 2)))>
#<alt (* -1 (* x (- (* -1 y) (* -1 (pow y 2)))))>
#<alt (* -1 (* x (- (* -1 y) (* -1 (pow y 2)))))>
#<alt (* -1 (* x (- (* -1 y) (* -1 (pow y 2)))))>
#<alt (* -1 (* x (- (* -1 y) (* -1 (pow y 2)))))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* x y))>
#<alt (/ 1 (* 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)>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* (pow y 2) (- (/ x y) x))>
#<alt (* (pow y 2) (- (/ x y) x))>
#<alt (* (pow y 2) (- (/ x y) x))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* (pow y 2) (- (/ x y) x))>
#<alt (* (pow y 2) (- (/ x y) x))>
#<alt (* (pow y 2) (- (/ x y) x))>
#<alt (* x (- y (pow y 2)))>
#<alt (* x (- y (pow y 2)))>
#<alt (* x (- y (pow y 2)))>
#<alt (* x (- y (pow y 2)))>
#<alt (* x (- y (pow y 2)))>
#<alt (* x (- y (pow y 2)))>
#<alt (* x (- y (pow y 2)))>
#<alt (* x (- y (pow y 2)))>
#<alt (* -1 (* x (- (* -1 y) (* -1 (pow y 2)))))>
#<alt (* -1 (* x (- (* -1 y) (* -1 (pow y 2)))))>
#<alt (* -1 (* x (- (* -1 y) (* -1 (pow y 2)))))>
#<alt (* -1 (* x (- (* -1 y) (* -1 (pow y 2)))))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (/ 1 (* x (pow y 2)))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
#<alt (* x (pow y 2))>
Calls

84 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(+ (* x (- 1 y)) 0)
1.0ms
x
@-inf
(- 0 (+ (* x (+ (* y y) y)) 0))
0.0ms
x
@0
(- 0 (+ (* x (+ (* y y) y)) 0))
0.0ms
x
@0
(/ 1 (+ (* y (+ (* y x) 0)) 0))
0.0ms
x
@inf
(+ (* y (+ (* x (- 1 y)) 0)) 0)

rewrite422.0ms (4.7%)

Memory
46.9MiB live, 816.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 396×accelerator-lowering-fma.f32
4 396×accelerator-lowering-fma.f64
3 530×/-lowering-/.f32
3 530×/-lowering-/.f64
2 342×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02488
122582
2232182
0855979
Stop Event
iter limit
node limit
Counts
15 → 1 456
Calls
Call 1
Inputs
(+ (* y (+ (* x (- 1 y)) 0)) 0)
(+ (* x (- 1 y)) 0)
(- 1 y)
(* y x)
(- 0 (+ (* x (+ (* y y) y)) 0))
(+ (* x (+ (* y y) y)) 0)
(+ (* y y) y)
(/ y (/ 1 (+ (* y x) 0)))
(- (* y x) (/ y (/ 1 (+ (* y x) 0))))
(/ 1 (+ (* y x) 0))
(+ (* y x) 0)
(/ 1 (/ 1 (+ (* y (+ (* y x) 0)) 0)))
(- (* y x) (/ 1 (/ 1 (+ (* y (+ (* y x) 0)) 0))))
(/ 1 (+ (* y (+ (* y x) 0)) 0))
(+ (* y (+ (* y x) 0)) 0)
Outputs
(+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)))
(+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(+.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)))
(+.f64 (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)) (fma.f64 y x #s(literal 0 binary64)))
(+.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 y y y) #s(literal 0 binary64)) (fma.f64 y (*.f64 x (fma.f64 y x #s(literal 0 binary64))) #s(literal 0 binary64)))) (neg.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) (*.f64 y (*.f64 y y)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 y y y) #s(literal 0 binary64)) (fma.f64 y (*.f64 x (fma.f64 y x #s(literal 0 binary64))) #s(literal 0 binary64))))))
(+.f64 (/.f64 (fma.f64 y (*.f64 x (fma.f64 y x #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 x (fma.f64 y y y) #s(literal 0 binary64))) (neg.f64 (/.f64 (fma.f64 y (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 y y y) #s(literal 0 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)))))
(-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(-.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)))
(-.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 y y y) #s(literal 0 binary64)) (fma.f64 y (*.f64 x (fma.f64 y x #s(literal 0 binary64))) #s(literal 0 binary64)))) (/.f64 (fma.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) (*.f64 y (*.f64 y y)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 y y y) #s(literal 0 binary64)) (fma.f64 y (*.f64 x (fma.f64 y x #s(literal 0 binary64))) #s(literal 0 binary64)))))
(-.f64 (/.f64 (fma.f64 y (*.f64 x (fma.f64 y x #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 x (fma.f64 y y y) #s(literal 0 binary64))) (/.f64 (fma.f64 y (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 y y y) #s(literal 0 binary64))))
(-.f64 (/.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 y y y) #s(literal 0 binary64)) (fma.f64 y (*.f64 x (fma.f64 y x #s(literal 0 binary64))) #s(literal 0 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) (*.f64 y (*.f64 y y)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 y y y) #s(literal 0 binary64)) (fma.f64 y (*.f64 x (fma.f64 y x #s(literal 0 binary64))) #s(literal 0 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (fma.f64 y (*.f64 x (fma.f64 y x #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 x (fma.f64 y y y) #s(literal 0 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 (fma.f64 y (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 y y y) #s(literal 0 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 y (*.f64 x (fma.f64 y x #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 (fma.f64 y (*.f64 x (fma.f64 y x #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 (fma.f64 y (*.f64 x (fma.f64 y x #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)))))
(-.f64 (/.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))) (/.f64 (fma.f64 y (*.f64 x (fma.f64 y x #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)))) (/.f64 (*.f64 (fma.f64 y (*.f64 x (fma.f64 y x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 y (*.f64 x (fma.f64 y x #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)))))
(-.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (fma.f64 y (*.f64 x (fma.f64 y x #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 y (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 (*.f64 (fma.f64 y (*.f64 x (fma.f64 y x #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) (*.f64 y (*.f64 y y)) #s(literal 0 binary64))) (*.f64 (fma.f64 y (*.f64 x (fma.f64 y x #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 y (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(-.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (fma.f64 y (*.f64 x (fma.f64 y x #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 (*.f64 (fma.f64 y (*.f64 x (fma.f64 y x #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 y (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (fma.f64 y (*.f64 x (fma.f64 y x #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)))))
(-.f64 (/.f64 (/.f64 (fma.f64 y (*.f64 x (fma.f64 y x #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))) (/.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)))) (/.f64 (*.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)))))
(-.f64 (/.f64 (*.f64 (fma.f64 y (*.f64 x (fma.f64 y x #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 y (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 y (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 (*.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) (*.f64 y (*.f64 y y)) #s(literal 0 binary64))) (*.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 y (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(-.f64 (/.f64 (*.f64 (fma.f64 y (*.f64 x (fma.f64 y x #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (*.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 y (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(-.f64 (/.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 y x #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 y x #s(literal 0 binary64)))) (/.f64 (*.f64 (fma.f64 y (*.f64 x (fma.f64 y x #s(literal 0 binary64))) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) (fma.f64 y x #s(literal 0 binary64)))))
(-.f64 (/.f64 (/.f64 (fma.f64 y (*.f64 x (fma.f64 y x #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 (fma.f64 y x #s(literal 0 binary64)) (/.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)))))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y x #s(literal 0 binary64))) (/.f64 (fma.f64 y x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 y x #s(literal 0 binary64))))) (/.f64 (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)) (/.f64 (fma.f64 y x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 y x #s(literal 0 binary64))))))
(fma.f64 y x (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)))
(fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 y x #s(literal 0 binary64))) (fma.f64 y x #s(literal 0 binary64)))
(fma.f64 y (pow.f64 x #s(literal 1 binary64)) (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)))
(fma.f64 y (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)))
(fma.f64 x y (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)))
(fma.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) y) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 0 binary64)) (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)) (fma.f64 y x #s(literal 0 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) y #s(literal 0 binary64))
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal 1 binary64) (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)))
(fma.f64 (fma.f64 y x #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(fma.f64 (fma.f64 y x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) y) (fma.f64 y x #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y x #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y x #s(literal 0 binary64))) (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y x #s(literal 0 binary64))) #s(literal 1 binary64)) (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y x #s(literal 0 binary64))) y (fma.f64 y x #s(literal 0 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y x #s(literal 0 binary64))) #s(literal -1 binary64) (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (fma.f64 y x #s(literal 0 binary64)) (fma.f64 y x #s(literal 0 binary64)))
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(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (pow.f64 (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 y #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 y x #s(literal 0 binary64))))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (*.f64 y y))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y x #s(literal 0 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) (*.f64 y (*.f64 y y)) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y x #s(literal 0 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))

simplify392.0ms (4.3%)

Memory
-0.9MiB live, 488.3MiB allocated
Algorithm
egg-herbie
Rules
5 528×*-lowering-*.f32
5 528×*-lowering-*.f64
4 736×accelerator-lowering-fma.f32
4 736×accelerator-lowering-fma.f64
1 372×cube-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0581883
11811820
23891820
310311799
422311799
535791799
645071799
749881799
853401799
958271799
1065991799
1173741799
080611769
Stop Event
iter limit
node limit
Counts
336 → 336
Calls
Call 1
Inputs
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
x
(+ x (* -1 (* x y)))
(+ x (* -1 (* x y)))
(+ x (* -1 (* x y)))
(* -1 (* x y))
(* y (+ (* -1 x) (/ x y)))
(* y (+ (* -1 x) (/ x y)))
(* y (+ (* -1 x) (/ x y)))
(* -1 (* x y))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (* y (+ x (* -1 (/ x y)))))
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(* -1 y)
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* -1 y)
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 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)
(* -1 (* x (+ y (pow y 2))))
(* -1 (* x (+ y (pow y 2))))
(* -1 (* x (+ y (pow y 2))))
(* -1 (* x (+ y (pow y 2))))
(* -1 (* x (+ y (pow y 2))))
(* -1 (* x (+ y (pow y 2))))
(* -1 (* x (+ y (pow y 2))))
(* -1 (* x (+ y (pow y 2))))
(* -1 (* x (+ y (pow y 2))))
(* -1 (* x (+ y (pow y 2))))
(* -1 (* x (+ y (pow y 2))))
(* -1 (* x (+ y (pow y 2))))
(* -1 (* x y))
(* y (- (* -1 (* x y)) x))
(* y (- (* -1 (* x y)) x))
(* y (- (* -1 (* x y)) x))
(* -1 (* x (pow y 2)))
(* (pow y 2) (- (* -1 (/ x y)) x))
(* (pow y 2) (- (* -1 (/ x y)) x))
(* (pow y 2) (- (* -1 (/ x y)) x))
(* -1 (* x (pow y 2)))
(* (pow y 2) (- (* -1 (/ x y)) x))
(* (pow y 2) (- (* -1 (/ x y)) x))
(* (pow y 2) (- (* -1 (/ x y)) x))
(* x (+ y (pow y 2)))
(* x (+ y (pow y 2)))
(* x (+ y (pow y 2)))
(* x (+ y (pow y 2)))
(* x (+ y (pow y 2)))
(* x (+ y (pow y 2)))
(* x (+ y (pow y 2)))
(* x (+ y (pow y 2)))
(* x (+ y (pow y 2)))
(* x (+ y (pow y 2)))
(* x (+ y (pow y 2)))
(* x (+ y (pow y 2)))
(* x y)
(* y (+ x (* x y)))
(* y (+ x (* x y)))
(* y (+ x (* x y)))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x y)))
(* (pow y 2) (+ x (/ x y)))
(* (pow y 2) (+ x (/ x y)))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x y)))
(* (pow y 2) (+ x (/ x y)))
(* (pow y 2) (+ x (/ x y)))
y
(* y (+ 1 y))
(* y (+ 1 y))
(* y (+ 1 y))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 y)))
(* (pow y 2) (+ 1 (/ 1 y)))
(* (pow y 2) (+ 1 (/ 1 y)))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 y)))
(* (pow y 2) (+ 1 (/ 1 y)))
(* (pow y 2) (+ 1 (/ 1 y)))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* -1 (* x (pow y 2)))
(* (pow y 2) (- (/ x y) x))
(* (pow y 2) (- (/ x y) x))
(* (pow y 2) (- (/ x y) x))
(* -1 (* x (pow y 2)))
(* (pow y 2) (- (/ x y) x))
(* (pow y 2) (- (/ x y) x))
(* (pow y 2) (- (/ x y) x))
(* x (- y (pow y 2)))
(* x (- y (pow y 2)))
(* x (- y (pow y 2)))
(* x (- y (pow y 2)))
(* x (- y (pow y 2)))
(* x (- y (pow y 2)))
(* x (- y (pow y 2)))
(* x (- y (pow y 2)))
(* -1 (* x (- (* -1 y) (* -1 (pow y 2)))))
(* -1 (* x (- (* -1 y) (* -1 (pow y 2)))))
(* -1 (* x (- (* -1 y) (* -1 (pow y 2)))))
(* -1 (* x (- (* -1 y) (* -1 (pow y 2)))))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* x y))
(/ 1 (* 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)
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* -1 (* x (pow y 2)))
(* (pow y 2) (- (/ x y) x))
(* (pow y 2) (- (/ x y) x))
(* (pow y 2) (- (/ x y) x))
(* -1 (* x (pow y 2)))
(* (pow y 2) (- (/ x y) x))
(* (pow y 2) (- (/ x y) x))
(* (pow y 2) (- (/ x y) x))
(* x (- y (pow y 2)))
(* x (- y (pow y 2)))
(* x (- y (pow y 2)))
(* x (- y (pow y 2)))
(* x (- y (pow y 2)))
(* x (- y (pow y 2)))
(* x (- y (pow y 2)))
(* x (- y (pow y 2)))
(* -1 (* x (- (* -1 y) (* -1 (pow y 2)))))
(* -1 (* x (- (* -1 y) (* -1 (pow y 2)))))
(* -1 (* x (- (* -1 y) (* -1 (pow y 2)))))
(* -1 (* x (- (* -1 y) (* -1 (pow y 2)))))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(/ 1 (* x (pow y 2)))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
Outputs
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* y (+ x (* -1 (* x y))))
(fma.f64 x (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* y (+ x (* -1 (* x y))))
(fma.f64 x (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* y (+ x (* -1 (* x y))))
(fma.f64 x (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* x (pow y 2)))
(-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(fma.f64 x (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(fma.f64 x (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(fma.f64 x (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* x (pow y 2)))
(-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(fma.f64 x (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(fma.f64 x (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(fma.f64 x (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y (- 1 y)))
(fma.f64 x (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y (- 1 y)))
(fma.f64 x (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y (- 1 y)))
(fma.f64 x (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y (- 1 y)))
(fma.f64 x (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y (- 1 y)))
(fma.f64 x (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y (- 1 y)))
(fma.f64 x (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y (- 1 y)))
(fma.f64 x (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y (- 1 y)))
(fma.f64 x (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y (- 1 y)))
(fma.f64 x (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y (- 1 y)))
(fma.f64 x (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y (- 1 y)))
(fma.f64 x (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y (- 1 y)))
(fma.f64 x (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (- 1 y))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* x (- 1 y))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* x (- 1 y))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* x (- 1 y))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* x (- 1 y))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* x (- 1 y))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* x (- 1 y))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* x (- 1 y))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* x (- 1 y))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* x (- 1 y))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* x (- 1 y))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* x (- 1 y))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
x
(+ x (* -1 (* x y)))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(+ x (* -1 (* x y)))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(+ x (* -1 (* x y)))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal 0 binary64)))
(* y (+ (* -1 x) (/ x y)))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* y (+ (* -1 x) (/ x y)))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* y (+ (* -1 x) (/ x y)))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal 0 binary64)))
(* -1 (* y (+ x (* -1 (/ x y)))))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* -1 (* y (+ x (* -1 (/ x y)))))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* -1 (* y (+ x (* -1 (/ x y)))))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* x (+ y (pow y 2))))
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(* -1 (* x (+ y (pow y 2))))
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(fma.f64 x (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow y 2) (- (/ x y) x))
(fma.f64 x (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (- y (pow y 2)))
(fma.f64 x (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (- y (pow y 2)))
(fma.f64 x (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (- y (pow y 2)))
(fma.f64 x (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (- y (pow y 2)))
(fma.f64 x (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (- y (pow y 2)))
(fma.f64 x (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (- y (pow y 2)))
(fma.f64 x (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (- y (pow y 2)))
(fma.f64 x (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (- y (pow y 2)))
(fma.f64 x (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* x (- (* -1 y) (* -1 (pow y 2)))))
(fma.f64 x (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* x (- (* -1 y) (* -1 (pow y 2)))))
(fma.f64 x (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* x (- (* -1 y) (* -1 (pow y 2)))))
(fma.f64 x (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* x (- (* -1 y) (* -1 (pow y 2)))))
(fma.f64 x (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(/ 1 (* x (pow y 2)))
(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))
(/ 1 (* x (pow y 2)))
(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))
(/ 1 (* x (pow y 2)))
(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))
(/ 1 (* x (pow y 2)))
(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))
(/ 1 (* x (pow y 2)))
(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))
(/ 1 (* x (pow y 2)))
(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))
(/ 1 (* x (pow y 2)))
(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))
(/ 1 (* x (pow y 2)))
(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))
(/ 1 (* x (pow y 2)))
(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))
(/ 1 (* x (pow y 2)))
(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))
(/ 1 (* x (pow y 2)))
(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))
(/ 1 (* x (pow y 2)))
(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))
(/ 1 (* x (pow y 2)))
(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))
(/ 1 (* x (pow y 2)))
(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))
(/ 1 (* x (pow y 2)))
(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))
(/ 1 (* x (pow y 2)))
(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))
(/ 1 (* x (pow y 2)))
(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))
(/ 1 (* x (pow y 2)))
(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))
(/ 1 (* x (pow y 2)))
(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))
(/ 1 (* x (pow y 2)))
(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))
(/ 1 (* x (pow y 2)))
(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))
(/ 1 (* x (pow y 2)))
(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))
(/ 1 (* x (pow y 2)))
(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))
(/ 1 (* x (pow y 2)))
(/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))
(* x (pow y 2))
(fma.f64 x (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (pow y 2))
(fma.f64 x (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (pow y 2))
(fma.f64 x (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (pow y 2))
(fma.f64 x (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (pow y 2))
(fma.f64 x (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (pow y 2))
(fma.f64 x (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (pow y 2))
(fma.f64 x (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (pow y 2))
(fma.f64 x (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (pow y 2))
(fma.f64 x (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (pow y 2))
(fma.f64 x (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (pow y 2))
(fma.f64 x (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (pow y 2))
(fma.f64 x (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (pow y 2))
(fma.f64 x (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (pow y 2))
(fma.f64 x (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (pow y 2))
(fma.f64 x (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (pow y 2))
(fma.f64 x (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (pow y 2))
(fma.f64 x (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (pow y 2))
(fma.f64 x (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (pow y 2))
(fma.f64 x (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (pow y 2))
(fma.f64 x (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (pow y 2))
(fma.f64 x (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (pow y 2))
(fma.f64 x (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (pow y 2))
(fma.f64 x (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (pow y 2))
(fma.f64 x (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))

eval304.0ms (3.4%)

Memory
-40.1MiB live, 450.4MiB allocated
Compiler

Compiled 55 285 to 2 782 computations (95% saved)

prune154.0ms (1.7%)

Memory
3.8MiB live, 397.6MiB allocated
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New2 03382 041
Fresh314
Picked415
Done224
Total2 042122 054
Accuracy
100.0%
Counts
2 054 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(fma.f64 y (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) #s(literal 0 binary64))
99.9%
(fma.f64 y (-.f64 x (fma.f64 y x #s(literal 0 binary64))) #s(literal 0 binary64))
99.9%
(fma.f64 y x (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y x))))
99.8%
(/.f64 (fma.f64 y x #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
66.0%
(/.f64 (-.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal 0 binary64))))
99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64))))
59.1%
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y y y) #s(literal 0 binary64))))
94.4%
(-.f64 (*.f64 y x) (/.f64 y (/.f64 (/.f64 #s(literal 1 binary64) y) x)))
27.2%
(*.f64 (-.f64 #s(literal 0 binary64) x) y)
93.0%
(*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) y)) x)
99.9%
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
59.3%
(*.f64 y x)
Compiler

Compiled 234 to 150 computations (35.9% saved)

simplify168.0ms (1.9%)

Memory
16.8MiB live, 117.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 1 binary64) y)
cost-diff0
(fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64))))
cost-diff0
(-.f64 #s(literal 1 binary64) y)
cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))
cost-diff0
(fma.f64 y (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) #s(literal 0 binary64))
cost-diff1024
(/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
cost-diff0
(fma.f64 y x #s(literal 0 binary64))
cost-diff0
(/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal 0 binary64)))
cost-diff0
(-.f64 y #s(literal -1 binary64))
cost-diff1024
(/.f64 (-.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal 0 binary64))))
cost-diff-64
(*.f64 (-.f64 #s(literal 0 binary64) x) y)
cost-diff0
(-.f64 #s(literal 0 binary64) x)
cost-diff0
(fma.f64 y x #s(literal 0 binary64))
cost-diff0
(-.f64 x (fma.f64 y x #s(literal 0 binary64)))
cost-diff0
(fma.f64 y (-.f64 x (fma.f64 y x #s(literal 0 binary64))) #s(literal 0 binary64))
Rules
1 072×accelerator-lowering-fma.f32
1 072×accelerator-lowering-fma.f64
954×div-sub
704×*-lowering-*.f32
704×*-lowering-*.f64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
024108
163108
2162108
3376107
4911107
51715106
62631106
73060106
83347106
93371106
103375106
113375106
123387106
133397106
143427106
153427106
03427106
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (* y (- x (+ (* y x) 0))) 0)
y
(- x (+ (* y x) 0))
x
(+ (* y x) 0)
0
(* (- 0 x) y)
(- 0 x)
0
x
y
(/ (- y -1) (/ -1 (+ (* y x) 0)))
(- y -1)
y
-1
(/ -1 (+ (* y x) 0))
(+ (* y x) 0)
x
0
(+ (* y (/ x (/ 1 (- 1 y)))) 0)
y
(/ x (/ 1 (- 1 y)))
x
(/ 1 (- 1 y))
1
(- 1 y)
0
(/ 1 (/ 1 (+ (* (- 1 y) (+ (* y x) 0)) 0)))
1
(/ 1 (+ (* (- 1 y) (+ (* y x) 0)) 0))
(+ (* (- 1 y) (+ (* y x) 0)) 0)
(- 1 y)
y
(+ (* y x) 0)
x
0
Outputs
(+ (* y (- x (+ (* y x) 0))) 0)
(fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
y
(- x (+ (* y x) 0))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
x
(+ (* y x) 0)
(fma.f64 y x #s(literal 0 binary64))
0
#s(literal 0 binary64)
(* (- 0 x) y)
(fma.f64 x (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(- 0 x)
(-.f64 #s(literal 0 binary64) x)
0
#s(literal 0 binary64)
x
y
(/ (- y -1) (/ -1 (+ (* y x) 0)))
(fma.f64 (fma.f64 y x #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(- y -1)
(+.f64 y #s(literal 1 binary64))
y
-1
#s(literal -1 binary64)
(/ -1 (+ (* y x) 0))
(/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal 0 binary64)))
(+ (* y x) 0)
(fma.f64 y x #s(literal 0 binary64))
x
0
#s(literal 0 binary64)
(+ (* y (/ x (/ 1 (- 1 y)))) 0)
(fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
y
(/ x (/ 1 (- 1 y)))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
x
(/ 1 (- 1 y))
(/.f64 #s(literal -1 binary64) (+.f64 y #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
0
#s(literal 0 binary64)
(/ 1 (/ 1 (+ (* (- 1 y) (+ (* y x) 0)) 0)))
(fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
1
#s(literal 1 binary64)
(/ 1 (+ (* (- 1 y) (+ (* y x) 0)) 0))
(/.f64 #s(literal -1 binary64) (fma.f64 y (fma.f64 x (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(+ (* (- 1 y) (+ (* y x) 0)) 0)
(fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
y
(+ (* y x) 0)
(fma.f64 y x #s(literal 0 binary64))
x
0
#s(literal 0 binary64)

localize79.0ms (0.9%)

Memory
-15.0MiB live, 142.2MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 #s(literal 1 binary64) y)
accuracy99.9%
(fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64))
accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64))))
accuracy99.2%
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)))
accuracy100.0%
(-.f64 #s(literal 1 binary64) y)
accuracy100.0%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))
accuracy99.9%
(fma.f64 y (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) #s(literal 0 binary64))
accuracy99.8%
(/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
accuracy100.0%
(fma.f64 y x #s(literal 0 binary64))
accuracy100.0%
(-.f64 y #s(literal -1 binary64))
accuracy99.7%
(/.f64 (-.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal 0 binary64))))
accuracy99.1%
(/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal 0 binary64)))
accuracy100.0%
(-.f64 #s(literal 0 binary64) x)
accuracy100.0%
(*.f64 (-.f64 #s(literal 0 binary64) x) y)
accuracy100.0%
(fma.f64 y x #s(literal 0 binary64))
accuracy100.0%
(-.f64 x (fma.f64 y x #s(literal 0 binary64)))
accuracy99.9%
(fma.f64 y (-.f64 x (fma.f64 y x #s(literal 0 binary64))) #s(literal 0 binary64))
Samples
47.0ms256×0valid
Compiler

Compiled 135 to 26 computations (80.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-div: 14.0ms (43.2% of total)
ival-mult: 8.0ms (24.7% of total)
ival-sub: 6.0ms (18.5% of total)
ival-add: 4.0ms (12.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series13.0ms (0.1%)

Memory
-13.0MiB live, 25.7MiB allocated
Counts
15 → 312
Calls
Call 1
Inputs
#<alt (+ (* y (- x (+ (* y x) 0))) 0)>
#<alt (- x (+ (* y x) 0))>
#<alt (+ (* y x) 0)>
#<alt (- 0 x)>
#<alt (* (- 0 x) y)>
#<alt (/ (- y -1) (/ -1 (+ (* y x) 0)))>
#<alt (- y -1)>
#<alt (/ -1 (+ (* y x) 0))>
#<alt (/ x (/ 1 (- 1 y)))>
#<alt (+ (* y (/ x (/ 1 (- 1 y)))) 0)>
#<alt (/ 1 (- 1 y))>
#<alt (- 1 y)>
#<alt (/ 1 (/ 1 (+ (* (- 1 y) (+ (* y x) 0)) 0)))>
#<alt (/ 1 (+ (* (- 1 y) (+ (* y x) 0)) 0))>
#<alt (+ (* (- 1 y) (+ (* y x) 0)) 0)>
Outputs
#<alt (* x y)>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* (pow y 2) (- (/ x y) x))>
#<alt (* (pow y 2) (- (/ x y) x))>
#<alt (* (pow y 2) (- (/ x y) x))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (+ 1 (* -1 y))))>
#<alt (* x (* y (+ 1 (* -1 y))))>
#<alt (* x (* y (+ 1 (* -1 y))))>
#<alt (* x (* y (+ 1 (* -1 y))))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (+ 1 (* -1 y)))>
#<alt (* x (+ 1 (* -1 y)))>
#<alt (* x (+ 1 (* -1 y)))>
#<alt (* x (+ 1 (* -1 y)))>
#<alt x>
#<alt (+ x (* -1 (* x y)))>
#<alt (+ x (* -1 (* x y)))>
#<alt (+ x (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* y (- (/ x y) x))>
#<alt (* y (- (/ x y) x))>
#<alt (* y (- (/ x y) x))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 x))))>
#<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 (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (* -1 (* x y))))>
#<alt (* y (+ (* -1 x) (* -1 (* x y))))>
#<alt (* y (+ (* -1 x) (* -1 (* x y))))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 x) (* -1 (/ x y))))>
#<alt (* (pow y 2) (+ (* -1 x) (* -1 (/ x y))))>
#<alt (* (pow y 2) (+ (* -1 x) (* -1 (/ x y))))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 x) (* -1 (/ x y))))>
#<alt (* (pow y 2) (+ (* -1 x) (* -1 (/ x y))))>
#<alt (* (pow y 2) (+ (* -1 x) (* -1 (/ x y))))>
#<alt (* -1 (* x (* y (+ 1 y))))>
#<alt (* -1 (* x (* y (+ 1 y))))>
#<alt (* -1 (* x (* y (+ 1 y))))>
#<alt (* -1 (* x (* y (+ 1 y))))>
#<alt (* -1 (* x (* y (+ 1 y))))>
#<alt (* -1 (* x (* y (+ 1 y))))>
#<alt (* -1 (* x (* y (+ 1 y))))>
#<alt (* -1 (* x (* y (+ 1 y))))>
#<alt (* -1 (* x (* y (+ 1 y))))>
#<alt (* -1 (* x (* y (+ 1 y))))>
#<alt (* -1 (* x (* y (+ 1 y))))>
#<alt (* -1 (* x (* y (+ 1 y))))>
#<alt 1>
#<alt (+ 1 y)>
#<alt (+ 1 y)>
#<alt (+ 1 y)>
#<alt y>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt y>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (/ -1 (* x y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt x>
#<alt (+ x (* -1 (* x y)))>
#<alt (+ x (* -1 (* x y)))>
#<alt (+ x (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (/ x y)))>
#<alt (* y (+ (* -1 x) (/ x y)))>
#<alt (* y (+ (* -1 x) (/ x y)))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (+ x (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ x y)))))>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt 1>
#<alt (+ 1 y)>
#<alt (+ 1 (* y (+ 1 y)))>
#<alt (+ 1 (* y (+ 1 (* y (+ 1 y)))))>
#<alt (/ -1 y)>
#<alt (* -1 (/ (+ 1 (/ 1 y)) y))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y)>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 y)) (pow y 2))) (+ 1 (/ 1 y))) y)>
#<alt (/ -1 y)>
#<alt (* -1 (/ (+ 1 (/ 1 y)) y))>
#<alt (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))) y))>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (/ 1 (* x y))>
#<alt (/ (+ (/ 1 x) (/ y x)) y)>
#<alt (/ (+ (* y (+ (/ 1 x) (/ y x))) (/ 1 x)) y)>
#<alt (/ (+ (* y (+ (* y (+ (/ 1 x) (/ y x))) (/ 1 x))) (/ 1 x)) y)>
#<alt (/ -1 (* x (pow y 2)))>
#<alt (* -1 (/ (+ (/ 1 x) (/ 1 (* x y))) (pow y 2)))>
#<alt (/ (- (* -1 (/ (+ (/ 1 x) (/ 1 (* x y))) y)) (/ 1 x)) (pow y 2))>
#<alt (/ (- (* -1 (/ (+ (/ 1 x) (/ 1 (* x y))) (pow y 2))) (+ (/ 1 x) (/ 1 (* x y)))) (pow y 2))>
#<alt (/ -1 (* x (pow y 2)))>
#<alt (* -1 (/ (+ (/ 1 x) (/ 1 (* x y))) (pow y 2)))>
#<alt (/ (- (* -1 (/ (+ (/ 1 x) (/ 1 (* x y))) y)) (/ 1 x)) (pow y 2))>
#<alt (/ (- (* -1 (/ (+ (/ 1 x) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2))))) y)) (/ 1 x)) (pow y 2))>
#<alt (/ 1 (* x (* y (- 1 y))))>
#<alt (/ 1 (* x (* y (- 1 y))))>
#<alt (/ 1 (* x (* y (- 1 y))))>
#<alt (/ 1 (* x (* y (- 1 y))))>
#<alt (/ 1 (* x (* y (- 1 y))))>
#<alt (/ 1 (* x (* y (- 1 y))))>
#<alt (/ 1 (* x (* y (- 1 y))))>
#<alt (/ 1 (* x (* y (- 1 y))))>
#<alt (/ 1 (* x (* y (- 1 y))))>
#<alt (/ 1 (* x (* y (- 1 y))))>
#<alt (/ 1 (* x (* y (- 1 y))))>
#<alt (/ 1 (* x (* y (- 1 y))))>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
Calls

78 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/ (- y -1) (/ -1 (+ (* y x) 0)))
0.0ms
x
@inf
(/ (- y -1) (/ -1 (+ (* y x) 0)))
0.0ms
x
@0
(/ 1 (+ (* (- 1 y) (+ (* y x) 0)) 0))
0.0ms
y
@0
(/ (- y -1) (/ -1 (+ (* y x) 0)))
0.0ms
x
@inf
(/ 1 (+ (* (- 1 y) (+ (* y x) 0)) 0))

rewrite550.0ms (6.1%)

Memory
35.3MiB live, 968.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 376×/-lowering-/.f32
4 376×/-lowering-/.f64
4 026×accelerator-lowering-fma.f32
4 026×accelerator-lowering-fma.f64
3 230×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02481
119280
2200480
0835480
Stop Event
iter limit
node limit
Counts
15 → 2 389
Calls
Call 1
Inputs
(+ (* y (- x (+ (* y x) 0))) 0)
(- x (+ (* y x) 0))
(+ (* y x) 0)
(- 0 x)
(* (- 0 x) y)
(/ (- y -1) (/ -1 (+ (* y x) 0)))
(- y -1)
(/ -1 (+ (* y x) 0))
(/ x (/ 1 (- 1 y)))
(+ (* y (/ x (/ 1 (- 1 y)))) 0)
(/ 1 (- 1 y))
(- 1 y)
(/ 1 (/ 1 (+ (* (- 1 y) (+ (* y x) 0)) 0)))
(/ 1 (+ (* (- 1 y) (+ (* y x) 0)) 0))
(+ (* (- 1 y) (+ (* y x) 0)) 0)
Outputs
(+.f64 #s(literal 0 binary64) (fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64)))
(+.f64 (fma.f64 y x #s(literal 0 binary64)) (*.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 y x #s(literal 0 binary64)))))
(+.f64 (fma.f64 y x #s(literal 0 binary64)) (*.f64 (fma.f64 y x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) y)))
(+.f64 (fma.f64 y x #s(literal 0 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y x #s(literal 0 binary64))) y))
(+.f64 (fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(exp.f64 (log.f64 (fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 y x #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)))
(-.f64 (fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(-.f64 (fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) (fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))))
(-.f64 (fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))))
(-.f64 (fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)))
(-.f64 (fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (fma.f64 y x #s(literal 0 binary64)))))
(-.f64 (fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)))
(fma.f64 y x (*.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 y x #s(literal 0 binary64)))))
(fma.f64 y x (*.f64 (fma.f64 y x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) y)))
(fma.f64 y x (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y x #s(literal 0 binary64))) y))
(fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 x y (*.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 y x #s(literal 0 binary64)))))
(fma.f64 x y (*.f64 (fma.f64 y x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) y)))
(fma.f64 x y (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y x #s(literal 0 binary64))) y))
(fma.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64))
(fma.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) y) #s(literal 0 binary64))
(fma.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 y x #s(literal 0 binary64)))))
(fma.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal 1 binary64) (*.f64 (fma.f64 y x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) y)))
(fma.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y x #s(literal 0 binary64))) y))
(fma.f64 (fma.f64 y x #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(fma.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) y #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y x #s(literal 0 binary64))) (*.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 y x #s(literal 0 binary64)))))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y x #s(literal 0 binary64))) (*.f64 (fma.f64 y x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) y)))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y x #s(literal 0 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y x #s(literal 0 binary64))) y))
(fma.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 0 binary64)) (*.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 y x #s(literal 0 binary64)))))
(fma.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 0 binary64)) (*.f64 (fma.f64 y x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) y)))
(fma.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 0 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y x #s(literal 0 binary64))) y))
(fma.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y x #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y x #s(literal 0 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
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(*.f64 (-.f64 (fma.f64 (fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (pow.f64 (fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(*.f64 (*.f64 (fma.f64 y x #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 (fma.f64 y x #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 0 binary64))))
(*.f64 (*.f64 y (*.f64 (fma.f64 x x (*.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 y x x))) (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 y x x)))))
(*.f64 (*.f64 y (*.f64 (fma.f64 y x x) (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y x x)))
(*.f64 (*.f64 (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (*.f64 (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 0 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (fma.f64 y x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 y x x))) (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))) y) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 y x x)))))
(*.f64 (*.f64 (*.f64 (fma.f64 y x x) (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))) y) (/.f64 #s(literal 1 binary64) (fma.f64 y x x)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64))) (pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64))) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) #s(literal 1 binary64)) (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 (pow.f64 (fma.f64 (fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))

simplify350.0ms (3.9%)

Memory
7.8MiB live, 530.8MiB allocated
Algorithm
egg-herbie
Rules
9 832×accelerator-lowering-fma.f32
9 832×accelerator-lowering-fma.f64
3 194×*-lowering-*.f32
3 194×*-lowering-*.f64
1 586×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01031939
13151824
28021775
322731771
456181767
081151763
Stop Event
iter limit
node limit
Counts
312 → 312
Calls
Call 1
Inputs
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* -1 (* x (pow y 2)))
(* (pow y 2) (- (/ x y) x))
(* (pow y 2) (- (/ x y) x))
(* (pow y 2) (- (/ x y) x))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (+ 1 (* -1 y))))
(* x (* y (+ 1 (* -1 y))))
(* x (* y (+ 1 (* -1 y))))
(* x (* y (+ 1 (* -1 y))))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (* -1 y)))
x
(+ x (* -1 (* x y)))
(+ x (* -1 (* x y)))
(+ x (* -1 (* x y)))
(* -1 (* x y))
(* y (- (/ x y) x))
(* y (- (/ x y) x))
(* y (- (/ x y) x))
(* -1 (* x y))
(* -1 (* y (- (* -1 (/ x y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 x))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 x))))
(* 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)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* y (+ (* -1 x) (* -1 (* x y))))
(* y (+ (* -1 x) (* -1 (* x y))))
(* y (+ (* -1 x) (* -1 (* x y))))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y))))
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y))))
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y))))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y))))
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y))))
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y))))
(* -1 (* x (* y (+ 1 y))))
(* -1 (* x (* y (+ 1 y))))
(* -1 (* x (* y (+ 1 y))))
(* -1 (* x (* y (+ 1 y))))
(* -1 (* x (* y (+ 1 y))))
(* -1 (* x (* y (+ 1 y))))
(* -1 (* x (* y (+ 1 y))))
(* -1 (* x (* y (+ 1 y))))
(* -1 (* x (* y (+ 1 y))))
(* -1 (* x (* y (+ 1 y))))
(* -1 (* x (* y (+ 1 y))))
(* -1 (* x (* y (+ 1 y))))
1
(+ 1 y)
(+ 1 y)
(+ 1 y)
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(/ -1 (* x y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
x
(+ x (* -1 (* x y)))
(+ x (* -1 (* x y)))
(+ x (* -1 (* x y)))
(* -1 (* x y))
(* y (+ (* -1 x) (/ x y)))
(* y (+ (* -1 x) (/ x y)))
(* y (+ (* -1 x) (/ x y)))
(* -1 (* x y))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
1
(+ 1 y)
(+ 1 (* y (+ 1 y)))
(+ 1 (* y (+ 1 (* y (+ 1 y)))))
(/ -1 y)
(* -1 (/ (+ 1 (/ 1 y)) y))
(/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y)
(/ (- (* -1 (/ (+ 1 (/ 1 y)) (pow y 2))) (+ 1 (/ 1 y))) y)
(/ -1 y)
(* -1 (/ (+ 1 (/ 1 y)) y))
(* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))) y))
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(* -1 y)
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* -1 y)
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(/ 1 (* x y))
(/ (+ (/ 1 x) (/ y x)) y)
(/ (+ (* y (+ (/ 1 x) (/ y x))) (/ 1 x)) y)
(/ (+ (* y (+ (* y (+ (/ 1 x) (/ y x))) (/ 1 x))) (/ 1 x)) y)
(/ -1 (* x (pow y 2)))
(* -1 (/ (+ (/ 1 x) (/ 1 (* x y))) (pow y 2)))
(/ (- (* -1 (/ (+ (/ 1 x) (/ 1 (* x y))) y)) (/ 1 x)) (pow y 2))
(/ (- (* -1 (/ (+ (/ 1 x) (/ 1 (* x y))) (pow y 2))) (+ (/ 1 x) (/ 1 (* x y)))) (pow y 2))
(/ -1 (* x (pow y 2)))
(* -1 (/ (+ (/ 1 x) (/ 1 (* x y))) (pow y 2)))
(/ (- (* -1 (/ (+ (/ 1 x) (/ 1 (* x y))) y)) (/ 1 x)) (pow y 2))
(/ (- (* -1 (/ (+ (/ 1 x) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2))))) y)) (/ 1 x)) (pow y 2))
(/ 1 (* x (* y (- 1 y))))
(/ 1 (* x (* y (- 1 y))))
(/ 1 (* x (* y (- 1 y))))
(/ 1 (* x (* y (- 1 y))))
(/ 1 (* x (* y (- 1 y))))
(/ 1 (* x (* y (- 1 y))))
(/ 1 (* x (* y (- 1 y))))
(/ 1 (* x (* y (- 1 y))))
(/ 1 (* x (* y (- 1 y))))
(/ 1 (* x (* y (- 1 y))))
(/ 1 (* x (* y (- 1 y))))
(/ 1 (* x (* y (- 1 y))))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
Outputs
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* y (+ x (* -1 (* x y))))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(* y (+ x (* -1 (* x y))))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(* y (+ x (* -1 (* x y))))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(* -1 (* x (pow y 2)))
(-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 y y) #s(literal 0 binary64)))
(* (pow y 2) (- (/ x y) x))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(* (pow y 2) (- (/ x y) x))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(* (pow y 2) (- (/ x y) x))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(* -1 (* x (pow y 2)))
(-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 y y) #s(literal 0 binary64)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (* y (- 1 y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (* y (- 1 y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (* y (- 1 y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (* y (- 1 y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (* y (- 1 y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (* y (- 1 y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (* y (- 1 y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (* y (- 1 y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (* y (+ 1 (* -1 y))))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (* y (+ 1 (* -1 y))))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (* y (+ 1 (* -1 y))))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (* y (+ 1 (* -1 y))))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (- 1 y))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* x (- 1 y))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* x (- 1 y))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* x (- 1 y))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* x (- 1 y))
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(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(* -1 (* x (pow y 2)))
(-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 y y) #s(literal 0 binary64)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (* y (- 1 y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (* y (- 1 y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (* y (- 1 y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (* y (- 1 y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (* y (- 1 y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (* y (- 1 y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (* y (- 1 y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (* y (- 1 y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (* y (- 1 y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (* y (- 1 y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (* y (- 1 y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (* y (- 1 y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64)))
(/ (+ (/ 1 x) (/ y x)) y)
(*.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64))))
(/ (+ (* y (+ (/ 1 x) (/ y x))) (/ 1 x)) y)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) y)
(/ (+ (* y (+ (* y (+ (/ 1 x) (/ y x))) (/ 1 x))) (/ 1 x)) y)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64)))))
(/ -1 (* x (pow y 2)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 y y) #s(literal 0 binary64)))
(* -1 (/ (+ (/ 1 x) (/ 1 (* x y))) (pow y 2)))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64))) (-.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)) (*.f64 y y))
(/ (- (* -1 (/ (+ (/ 1 x) (/ 1 (* x y))) y)) (/ 1 x)) (pow y 2))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64))) (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) (*.f64 y y))
(/ (- (* -1 (/ (+ (/ 1 x) (/ 1 (* x y))) (pow y 2))) (+ (/ 1 x) (/ 1 (* x y)))) (pow y 2))
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64))) (+.f64 y #s(literal 1 binary64)) #s(literal 0 binary64)) (*.f64 y y)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y))))
(/ -1 (* x (pow y 2)))
(/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 y y) #s(literal 0 binary64)))
(* -1 (/ (+ (/ 1 x) (/ 1 (* x y))) (pow y 2)))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64))) (-.f64 #s(literal -1 binary64) y) #s(literal 0 binary64)) (*.f64 y y))
(/ (- (* -1 (/ (+ (/ 1 x) (/ 1 (* x y))) y)) (/ 1 x)) (pow y 2))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64))) (-.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) y)) (*.f64 y y))
(/ (- (* -1 (/ (+ (/ 1 x) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2))))) y)) (/ 1 x)) (pow y 2))
(*.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64))) (+.f64 y #s(literal 1 binary64)) #s(literal 0 binary64)) (*.f64 y y)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y))))
(/ 1 (* x (* y (- 1 y))))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (+.f64 y #s(literal -1 binary64)))))
(/ 1 (* x (* y (- 1 y))))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (+.f64 y #s(literal -1 binary64)))))
(/ 1 (* x (* y (- 1 y))))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (+.f64 y #s(literal -1 binary64)))))
(/ 1 (* x (* y (- 1 y))))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (+.f64 y #s(literal -1 binary64)))))
(/ 1 (* x (* y (- 1 y))))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (+.f64 y #s(literal -1 binary64)))))
(/ 1 (* x (* y (- 1 y))))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (+.f64 y #s(literal -1 binary64)))))
(/ 1 (* x (* y (- 1 y))))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (+.f64 y #s(literal -1 binary64)))))
(/ 1 (* x (* y (- 1 y))))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (+.f64 y #s(literal -1 binary64)))))
(/ 1 (* x (* y (- 1 y))))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (+.f64 y #s(literal -1 binary64)))))
(/ 1 (* x (* y (- 1 y))))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (+.f64 y #s(literal -1 binary64)))))
(/ 1 (* x (* y (- 1 y))))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (+.f64 y #s(literal -1 binary64)))))
(/ 1 (* x (* y (- 1 y))))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (+.f64 y #s(literal -1 binary64)))))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* y (+ x (* -1 (* x y))))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(* y (+ x (* -1 (* x y))))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(* y (+ x (* -1 (* x y))))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(* -1 (* x (pow y 2)))
(-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 y y) #s(literal 0 binary64)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(* -1 (* x (pow y 2)))
(-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 y y) #s(literal 0 binary64)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (* y (- 1 y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (* y (- 1 y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (* y (- 1 y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (* y (- 1 y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (* y (- 1 y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (* y (- 1 y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (* y (- 1 y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (* y (- 1 y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (* y (- 1 y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (* y (- 1 y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (* y (- 1 y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))
(* x (* y (- 1 y)))
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y)))

eval621.0ms (6.9%)

Memory
16.4MiB live, 749.0MiB allocated
Compiler

Compiled 78 358 to 4 287 computations (94.5% saved)

prune495.0ms (5.5%)

Memory
-129.5MiB live, 558.6MiB allocated
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New2 92672 933
Fresh314
Picked505
Done033
Total2 934112 945
Accuracy
100.0%
Counts
2 945 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.8%
(fma.f64 y (/.f64 x (/.f64 #s(literal -1 binary64) y)) #s(literal 0 binary64))
99.9%
(fma.f64 y (-.f64 x (*.f64 y x)) #s(literal 0 binary64))
99.9%
(fma.f64 y x (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y x))))
99.8%
(/.f64 (fma.f64 y x #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
66.1%
(/.f64 (-.f64 y #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) y) x))
66.8%
(/.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal 0 binary64))))
59.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 y y) #s(literal 0 binary64))))
93.0%
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
99.9%
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
27.2%
(*.f64 (neg.f64 x) y)
59.3%
(*.f64 y x)
Compiler

Compiled 497 to 175 computations (64.8% saved)

regimes31.0ms (0.3%)

Memory
25.3MiB live, 63.7MiB allocated
Counts
34 → 1
Calls
Call 1
Inputs
(*.f64 y x)
(fma.f64 y x #s(literal 0 binary64))
(*.f64 (neg.f64 x) y)
(*.f64 (-.f64 #s(literal 0 binary64) x) y)
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) y)) x)
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(fma.f64 y (-.f64 x (*.f64 y x)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 y y y) #s(literal 0 binary64)))
(fma.f64 y (-.f64 x (fma.f64 y x #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(-.f64 (*.f64 y x) (*.f64 (*.f64 y x) y))
(fma.f64 y x (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y x))))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) x (*.f64 y x))
(/.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal 0 binary64))))
(fma.f64 y (/.f64 x (/.f64 #s(literal -1 binary64) y)) #s(literal 0 binary64))
(/.f64 (-.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal 0 binary64))))
(/.f64 (fma.f64 y x #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
(fma.f64 y (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 y y) #s(literal 0 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 y y y) #s(literal 0 binary64))))
(*.f64 (*.f64 x y) (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(-.f64 (*.f64 y x) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) y))
(-.f64 (*.f64 y x) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 0 binary64)))))
(-.f64 (*.f64 y x) (/.f64 (fma.f64 y x #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 y #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) y) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64))))
(-.f64 (*.f64 y x) (/.f64 y (/.f64 (/.f64 #s(literal 1 binary64) y) x)))
(-.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) (*.f64 y x)) (-.f64 #s(literal -1 binary64) (fma.f64 y y y)))
(-.f64 (*.f64 y x) (*.f64 (*.f64 (fma.f64 x (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 0 binary64)))) y))
(*.f64 (/.f64 y (/.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y y)))))) (/.f64 x (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 y (*.f64 x (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64))))) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y x) (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y x)))) (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (*.f64 y (*.f64 y x)) (*.f64 y (*.f64 y x))))))
Outputs
(fma.f64 y x (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y x))))
Calls

3 calls:

13.0ms
y
9.0ms
x
8.0ms
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes14.0ms (0.2%)

Memory
-9.0MiB live, 28.9MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
(*.f64 y x)
(fma.f64 y x #s(literal 0 binary64))
(*.f64 (neg.f64 x) y)
(*.f64 (-.f64 #s(literal 0 binary64) x) y)
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) y)) x)
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(fma.f64 y (-.f64 x (*.f64 y x)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 y y y) #s(literal 0 binary64)))
(fma.f64 y (-.f64 x (fma.f64 y x #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 y (fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64))
(-.f64 (*.f64 y x) (*.f64 (*.f64 y x) y))
Outputs
(fma.f64 y (-.f64 x (*.f64 y x)) #s(literal 0 binary64))
Calls

3 calls:

6.0ms
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
4.0ms
y
4.0ms
x
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory
-16.3MiB live, 21.6MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
(*.f64 y x)
(fma.f64 y x #s(literal 0 binary64))
(*.f64 (neg.f64 x) y)
(*.f64 (-.f64 #s(literal 0 binary64) x) y)
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) y)) x)
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
Outputs
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Calls

3 calls:

5.0ms
x
3.0ms
y
2.0ms
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory
16.4MiB live, 16.3MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
(*.f64 y x)
(fma.f64 y x #s(literal 0 binary64))
(*.f64 (neg.f64 x) y)
(*.f64 (-.f64 #s(literal 0 binary64) x) y)
Outputs
(*.f64 y x)
(*.f64 (neg.f64 x) y)
Calls

3 calls:

2.0ms
x
2.0ms
y
2.0ms
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Results
AccuracySegmentsBranch
59.3%1x
65.6%2y
59.3%1(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes2.0ms (0%)

Memory
4.7MiB live, 4.7MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 y x)
(fma.f64 y x #s(literal 0 binary64))
Outputs
(*.f64 y x)
Calls

1 calls:

1.0ms
y
Results
AccuracySegmentsBranch
59.3%1y
Compiler

Compiled 3 to 2 computations (33.3% saved)

bsearch14.0ms (0.2%)

Memory
-12.1MiB live, 25.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
0.00011555044222211402
3125242537.8924074
Samples
6.0ms160×0valid
Compiler

Compiled 142 to 101 computations (28.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 2.0ms (70.9% of total)
ival-sub: 1.0ms (35.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify15.0ms (0.2%)

Memory
-11.6MiB live, 31.3MiB allocated
Algorithm
egg-herbie
Rules
16×*-commutative_binary64
12×+-commutative_binary64
12×sub-neg_binary64
neg-mul-1_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01738
14038
25538
36138
46338
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 y x (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y x))))
(fma.f64 y (-.f64 x (*.f64 y x)) #s(literal 0 binary64))
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
(if (<=.f64 y #s(literal 1 binary64)) (*.f64 y x) (*.f64 (neg.f64 x) y))
(*.f64 y x)
Outputs
(fma.f64 y x (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y x))))
(fma.f64 y x (*.f64 y (*.f64 y (-.f64 #s(literal 0 binary64) x))))
(fma.f64 y (-.f64 x (*.f64 y x)) #s(literal 0 binary64))
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y))
(if (<=.f64 y #s(literal 1 binary64)) (*.f64 y x) (*.f64 (neg.f64 x) y))
(if (<=.f64 y #s(literal 1 binary64)) (*.f64 y x) (*.f64 y (-.f64 #s(literal 0 binary64) x)))
(*.f64 y x)

soundness1.1s (11.6%)

Memory
9.9MiB live, 731.0MiB allocated
Rules
4 438×*-lowering-*.f32
4 438×*-lowering-*.f64
4 396×accelerator-lowering-fma.f32
4 396×accelerator-lowering-fma.f64
4 376×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027266
170266
2165266
3263266
4636266
52116266
64183266
75679266
86553266
97129266
107753266
08261266
027136
1215124
22172109
09499102
02488
122582
2232182
0855979
02481
119280
2200480
0835480
0613
12713
216213
3133913
0954812
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 120 to 63 computations (47.5% saved)

preprocess48.0ms (0.5%)

Memory
-5.2MiB live, 112.6MiB allocated
Remove

(negabs x)

Compiler

Compiled 174 to 84 computations (51.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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