Diagrams.Solve.Polynomial:quartForm from diagrams-solve-0.1, A

Time bar (total: 6.1s)

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB 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 9 computations (0% saved)

sample803.0ms (13.2%)

Memory
-1.4MiB live, 1 143.1MiB allocated
Samples
489.0ms7 597×0valid
42.0ms308×1valid
22.0ms144×3valid
21.0ms207×2valid
Precisions
Click to see histograms. Total time spent on operations: 255.0ms
ival-sub: 100.0ms (39.2% of total)
ival-div: 72.0ms (28.2% of total)
ival-mult: 57.0ms (22.4% of total)
adjust: 9.0ms (3.5% of total)
exact: 9.0ms (3.5% of total)
ival-true: 5.0ms (2% of total)
ival-assert: 3.0ms (1.2% of total)
Bogosity

preprocess48.0ms (0.8%)

Memory
1.4MiB live, 38.7MiB allocated
Algorithm
egg-herbie
Rules
128×accelerator-lowering-fma.f32
128×accelerator-lowering-fma.f64
80×*-lowering-*.f32
80×*-lowering-*.f64
62×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01734
14832
29330
317330
427330
531130
631730
085
1155
2255
3345
4465
5645
6995
71295
81645
91885
102025
02024
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(- x (* (/ 3 8) y))
Outputs
(- x (* (/ 3 8) y))
(-.f64 x (*.f64 #s(literal 3/8 binary64) y))
Call 2
Inputs
(- x (* (/ 3 8) y))
(- (neg x) (* (/ 3 8) y))
(- x (* (/ 3 8) (neg y)))
(neg (- (neg x) (* (/ 3 8) y)))
(neg (- x (* (/ 3 8) (neg y))))
(- y (* (/ 3 8) x))
Outputs
(- x (* (/ 3 8) y))
(+ x (* y -3/8))
(- (neg x) (* (/ 3 8) y))
(- (* y -3/8) x)
(- x (* (/ 3 8) (neg y)))
(+ x (* 3/8 y))
(neg (- (neg x) (* (/ 3 8) y)))
(+ x (* 3/8 y))
(neg (- x (* (/ 3 8) (neg y))))
(- (* y -3/8) x)
(- y (* (/ 3 8) x))
(+ y (* x -3/8))

explain73.0ms (1.2%)

Memory
14.0MiB live, 174.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-#s(literal 8 binary64)
00-0-y
00-0-#s(literal 3 binary64)
00-0-(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
00-0-(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
00-0-(/.f64 #s(literal 3 binary64) #s(literal 8 binary64))
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
26.0ms484×0valid
1.0ms3valid
1.0ms10×2valid
1.0ms10×1valid
Compiler

Compiled 60 to 32 computations (46.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-div: 4.0ms (32.2% of total)
ival-mult: 4.0ms (32.2% of total)
ival-sub: 3.0ms (24.2% of total)
exact: 1.0ms (8.1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify13.0ms (0.2%)

Memory
-13.8MiB live, 23.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
cost-diff0
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
cost-diff128
(/.f64 #s(literal 3 binary64) #s(literal 8 binary64))
Rules
128×accelerator-lowering-fma.f32
128×accelerator-lowering-fma.f64
80×*-lowering-*.f32
80×*-lowering-*.f64
40×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
11513
22513
33413
44613
56413
69913
712913
816413
918813
1020213
020212
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(- x (* (/ 3 8) y))
x
(* (/ 3 8) y)
(/ 3 8)
3
8
y
Outputs
(- x (* (/ 3 8) y))
(-.f64 x (*.f64 #s(literal 3/8 binary64) y))
x
(* (/ 3 8) y)
(*.f64 #s(literal 3/8 binary64) y)
(/ 3 8)
#s(literal 3/8 binary64)
3
#s(literal 3 binary64)
8
#s(literal 8 binary64)
y

localize23.0ms (0.4%)

Memory
7.5MiB live, 47.4MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 #s(literal 3 binary64) #s(literal 8 binary64))
accuracy100.0%
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
accuracy99.9%
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
Samples
11.0ms242×0valid
1.0ms3valid
1.0ms2valid
0.0ms1valid
Compiler

Compiled 21 to 9 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (34.9% of total)
ival-mult: 2.0ms (34.9% of total)
ival-sub: 1.0ms (17.5% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series2.0ms (0%)

Memory
6.7MiB live, 6.7MiB allocated
Counts
3 → 36
Calls
Call 1
Inputs
#<alt (/ 3 8)>
#<alt (- x (* (/ 3 8) y))>
#<alt (* (/ 3 8) y)>
Outputs
#<alt (* -3/8 y)>
#<alt (- x (* 3/8 y))>
#<alt (- x (* 3/8 y))>
#<alt (- x (* 3/8 y))>
#<alt x>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt x>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (* -3/8 y)>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* -3/8 y)>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
Calls

9 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
(* (/ 3 8) y)
0.0ms
x
@inf
(- x (* (/ 3 8) y))
0.0ms
y
@inf
(- x (* (/ 3 8) y))
0.0ms
y
@inf
(* (/ 3 8) y)
0.0ms
y
@0
(- x (* (/ 3 8) y))

rewrite468.0ms (7.7%)

Memory
23.8MiB live, 897.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
11 564×accelerator-lowering-fma.f32
11 564×accelerator-lowering-fma.f64
4 300×*-lowering-*.f32
4 300×*-lowering-*.f64
3 918×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1279
21849
316929
086658
Stop Event
iter limit
node limit
Counts
3 → 205
Calls
Call 1
Inputs
(/ 3 8)
(- x (* (/ 3 8) y))
(* (/ 3 8) y)
Outputs
#s(literal 3/8 binary64)
(+.f64 x (*.f64 y #s(literal -3/8 binary64)))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(+.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 3/8 binary64) y) (+.f64 x (*.f64 #s(literal 3/8 binary64) y))))) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))) (+.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 3/8 binary64) y) (+.f64 x (*.f64 #s(literal 3/8 binary64) y)))))))
(+.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 #s(literal 3/8 binary64) y))) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (+.f64 x (*.f64 #s(literal 3/8 binary64) y)))))
(+.f64 #s(literal 0 binary64) (+.f64 x (*.f64 y #s(literal -3/8 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal -3/8 binary64))))) #s(literal -1 binary64)))
(-.f64 x (*.f64 #s(literal 3/8 binary64) y))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 3/8 binary64) y) (+.f64 x (*.f64 #s(literal 3/8 binary64) y))))) (/.f64 (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))) (+.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 3/8 binary64) y) (+.f64 x (*.f64 #s(literal 3/8 binary64) y))))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 #s(literal 3/8 binary64) y))) (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (+.f64 x (*.f64 #s(literal 3/8 binary64) y))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x (*.f64 y #s(literal -3/8 binary64)))))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 3/8 binary64) y) x))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 3/8 binary64) y) (+.f64 x (*.f64 #s(literal 3/8 binary64) y)))))) (-.f64 #s(literal 0 binary64) (+.f64 x (*.f64 y #s(literal -3/8 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))))))) (+.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 3/8 binary64) y) (+.f64 x (*.f64 #s(literal 3/8 binary64) y))))) (/.f64 (/.f64 (*.f64 #s(literal 19683/134217728 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))))))) (+.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 3/8 binary64) y) (+.f64 x (*.f64 #s(literal 3/8 binary64) y))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))))) (+.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 3/8 binary64) y) (+.f64 x (*.f64 #s(literal 3/8 binary64) y))))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729/262144 binary64))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))))) (+.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 3/8 binary64) y) (+.f64 x (*.f64 #s(literal 3/8 binary64) y))))))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (+.f64 (*.f64 x x) (*.f64 #s(literal 3/8 binary64) (*.f64 x y))))) (/.f64 (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (+.f64 (*.f64 x x) (*.f64 #s(literal 3/8 binary64) (*.f64 x y))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))))))) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (+.f64 (*.f64 x x) (*.f64 #s(literal 3/8 binary64) (*.f64 x y))))) (/.f64 (/.f64 (*.f64 #s(literal 19683/134217728 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))))))) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (+.f64 (*.f64 x x) (*.f64 #s(literal 3/8 binary64) (*.f64 x y))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))))) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (+.f64 (*.f64 x x) (*.f64 #s(literal 3/8 binary64) (*.f64 x y))))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729/262144 binary64))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))))) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (+.f64 (*.f64 x x) (*.f64 #s(literal 3/8 binary64) (*.f64 x y))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y #s(literal 9/64 binary64))))))) (+.f64 x (*.f64 #s(literal 3/8 binary64) y))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729/262144 binary64))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y #s(literal 9/64 binary64))))))) (+.f64 x (*.f64 #s(literal 3/8 binary64) y))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y #s(literal 9/64 binary64))))) (+.f64 x (*.f64 #s(literal 3/8 binary64) y))) (/.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 81/4096 binary64))) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y #s(literal 9/64 binary64))))) (+.f64 x (*.f64 #s(literal 3/8 binary64) y))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)) (-.f64 #s(literal 0 binary64) (+.f64 x (*.f64 y #s(literal -3/8 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 3/8 binary64) y) (+.f64 x (*.f64 #s(literal 3/8 binary64) y)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y)))))))) (/.f64 (*.f64 #s(literal 19683/134217728 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (*.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 3/8 binary64) y) (+.f64 x (*.f64 #s(literal 3/8 binary64) y)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y)))))))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 3/8 binary64) y) (+.f64 x (*.f64 #s(literal 3/8 binary64) y)))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y)))))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729/262144 binary64))) (*.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 3/8 binary64) y) (+.f64 x (*.f64 #s(literal 3/8 binary64) y)))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y)))))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 x (*.f64 #s(literal 3/8 binary64) y)) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y #s(literal 9/64 binary64)))))))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729/262144 binary64))) (*.f64 (+.f64 x (*.f64 #s(literal 3/8 binary64) y)) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y #s(literal 9/64 binary64)))))))))
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(*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729/262144 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y #s(literal 9/64 binary64)))))) (+.f64 x (*.f64 #s(literal 3/8 binary64) y)))))
(*.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal -3/8 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 3/8 binary64) y) (+.f64 x (*.f64 #s(literal 3/8 binary64) y))))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal 3/8 binary64) y))) (+.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal -9/64 binary64))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x (*.f64 y #s(literal -3/8 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal -3/8 binary64)))))))
(*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 81/4096 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x (*.f64 #s(literal 3/8 binary64) y)) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y #s(literal 9/64 binary64)))))))
(*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 81/4096 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 x x) (*.f64 y (*.f64 y #s(literal 9/64 binary64)))) (+.f64 x (*.f64 #s(literal 3/8 binary64) y)))))
(*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 3/8 binary64) y) (+.f64 x (*.f64 #s(literal 3/8 binary64) y))))) (*.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 3/8 binary64) y) (+.f64 x (*.f64 #s(literal 3/8 binary64) y)))) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 3/8 binary64) y) (+.f64 x (*.f64 #s(literal 3/8 binary64) y)))) (+.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 3/8 binary64) y) (+.f64 x (*.f64 #s(literal 3/8 binary64) y)))))))
(*.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x (*.f64 #s(literal 3/8 binary64) y))) (*.f64 (+.f64 x (*.f64 #s(literal 3/8 binary64) y)) (*.f64 y (*.f64 y #s(literal 9/64 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x (*.f64 #s(literal 3/8 binary64) y)) (+.f64 x (*.f64 #s(literal 3/8 binary64) y)))))
(*.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 3/8 binary64) y) (+.f64 x (*.f64 #s(literal 3/8 binary64) y))))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 3/8 binary64) y) (+.f64 x (*.f64 #s(literal 3/8 binary64) y))))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 3/8 binary64) y) (+.f64 x (*.f64 #s(literal 3/8 binary64) y))))))) (*.f64 (/.f64 (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))) (+.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 3/8 binary64) y) (+.f64 x (*.f64 #s(literal 3/8 binary64) y))))) (*.f64 #s(literal 729/262144 binary64) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 3/8 binary64) y) (+.f64 x (*.f64 #s(literal 3/8 binary64) y))))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 3/8 binary64) y) (+.f64 x (*.f64 #s(literal 3/8 binary64) y))))))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 3/8 binary64) y) (+.f64 x (*.f64 #s(literal 3/8 binary64) y))))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 3/8 binary64) y) (+.f64 x (*.f64 #s(literal 3/8 binary64) y)))))) (+.f64 (*.f64 #s(literal 729/262144 binary64) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 3/8 binary64) y) (+.f64 x (*.f64 #s(literal 3/8 binary64) y))))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 3/8 binary64) y) (+.f64 x (*.f64 #s(literal 3/8 binary64) y))))))) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 3/8 binary64) y) (+.f64 x (*.f64 #s(literal 3/8 binary64) y))))) (/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 3/8 binary64) y) (+.f64 x (*.f64 #s(literal 3/8 binary64) y)))) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y)))))))))
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 x (*.f64 #s(literal 3/8 binary64) y)) (*.f64 (+.f64 x (*.f64 #s(literal 3/8 binary64) y)) (+.f64 x (*.f64 #s(literal 3/8 binary64) y))))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729/262144 binary64))) (*.f64 (+.f64 x (*.f64 #s(literal 3/8 binary64) y)) (*.f64 (+.f64 x (*.f64 #s(literal 3/8 binary64) y)) (+.f64 x (*.f64 #s(literal 3/8 binary64) y)))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 #s(literal 3/8 binary64) y))) (/.f64 (+.f64 x (*.f64 #s(literal 3/8 binary64) y)) (*.f64 x x))) (+.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 81/4096 binary64)) (*.f64 (/.f64 y (+.f64 x (*.f64 #s(literal 3/8 binary64) y))) (/.f64 y (+.f64 x (*.f64 #s(literal 3/8 binary64) y))))) (/.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 #s(literal 3/8 binary64) y))) (/.f64 (+.f64 x (*.f64 #s(literal 3/8 binary64) y)) (*.f64 y (*.f64 y #s(literal 9/64 binary64)))))))))
(*.f64 (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)))
(*.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 3/8 binary64) y) (+.f64 x (*.f64 #s(literal 3/8 binary64) y))))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 3/8 binary64) y) (+.f64 x (*.f64 #s(literal 3/8 binary64) y)))))) (*.f64 #s(literal 729/262144 binary64) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 3/8 binary64) y) (+.f64 x (*.f64 #s(literal 3/8 binary64) y))))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 3/8 binary64) y) (+.f64 x (*.f64 #s(literal 3/8 binary64) y)))))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 3/8 binary64) y) (+.f64 x (*.f64 #s(literal 3/8 binary64) y))))) (/.f64 (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))) (+.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 3/8 binary64) y) (+.f64 x (*.f64 #s(literal 3/8 binary64) y))))))))
(*.f64 (-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 #s(literal 3/8 binary64) y))) (/.f64 (+.f64 x (*.f64 #s(literal 3/8 binary64) y)) (*.f64 x x))) (*.f64 (*.f64 (*.f64 y y) #s(literal 81/4096 binary64)) (*.f64 (/.f64 y (+.f64 x (*.f64 #s(literal 3/8 binary64) y))) (/.f64 y (+.f64 x (*.f64 #s(literal 3/8 binary64) y)))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 #s(literal 3/8 binary64) y))) (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (+.f64 x (*.f64 #s(literal 3/8 binary64) y))))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 19683/134217728 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) (+.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 3/8 binary64) y) (+.f64 x (*.f64 #s(literal 3/8 binary64) y))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))))))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729/262144 binary64)))) (+.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 3/8 binary64) y) (+.f64 x (*.f64 #s(literal 3/8 binary64) y))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729/262144 binary64)))) (+.f64 x (*.f64 #s(literal 3/8 binary64) y))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y #s(literal 9/64 binary64))))))))
(*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 81/4096 binary64)))) (+.f64 x (*.f64 #s(literal 3/8 binary64) y))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y #s(literal 9/64 binary64))))))
(*.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y y) #s(literal -9/64 binary64))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))))) (+.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 3/8 binary64) y) (-.f64 (*.f64 #s(literal 3/8 binary64) y) x))))
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))) (*.f64 (+.f64 x (*.f64 #s(literal 3/8 binary64) y)) (*.f64 (+.f64 x (*.f64 #s(literal 3/8 binary64) y)) (+.f64 x (*.f64 #s(literal 3/8 binary64) y))))))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) y) (+.f64 x (*.f64 #s(literal 3/8 binary64) y))) (-.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) y) (+.f64 x (*.f64 #s(literal 3/8 binary64) y))) (*.f64 x x)))))
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y)))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 (+.f64 x (*.f64 #s(literal 3/8 binary64) y)) (+.f64 x (*.f64 #s(literal 3/8 binary64) y)))))) (-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 3/8 binary64) y) (+.f64 x (*.f64 #s(literal 3/8 binary64) y)))))
(*.f64 (pow.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 3/8 binary64) y) (+.f64 x (*.f64 #s(literal 3/8 binary64) y)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 19683/134217728 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))))))))
(*.f64 (pow.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 3/8 binary64) y) (+.f64 x (*.f64 #s(literal 3/8 binary64) y)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729/262144 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))))))
(*.f64 (pow.f64 (/.f64 (+.f64 x (*.f64 #s(literal 3/8 binary64) y)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729/262144 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y #s(literal 9/64 binary64))))))))
(*.f64 (pow.f64 (/.f64 (+.f64 x (*.f64 #s(literal 3/8 binary64) y)) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 81/4096 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 y (*.f64 y #s(literal 9/64 binary64))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal -3/8 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal -3/8 binary64)))) #s(literal -1/2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 3/8 binary64) y))
(exp.f64 (log.f64 (*.f64 #s(literal 3/8 binary64) y)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 3/8 binary64) y)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 y #s(literal -3/8 binary64)))
(neg.f64 (*.f64 y #s(literal -3/8 binary64)))
(/.f64 (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) #s(literal 0 binary64))))
(/.f64 (*.f64 (*.f64 y y) #s(literal -9/64 binary64)) (*.f64 y #s(literal -3/8 binary64)))
(pow.f64 (*.f64 #s(literal 3/8 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal 3/8 binary64) y)
(*.f64 #s(literal 3/8 binary64) (pow.f64 y #s(literal 1 binary64)))
(*.f64 y #s(literal 3/8 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3/8 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 y #s(literal -3/8 binary64)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) #s(literal 3/8 binary64))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 3/8 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 3/8 binary64))) (exp.f64 (log.f64 y)))
(*.f64 (pow.f64 (*.f64 #s(literal 3/8 binary64) y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 3/8 binary64) y) #s(literal 1/2 binary64)))

simplify352.0ms (5.8%)

Memory
-37.9MiB live, 372.7MiB allocated
Algorithm
egg-herbie
Rules
3 160×accelerator-lowering-fma.f32
3 160×accelerator-lowering-fma.f64
2 584×*-lowering-*.f32
2 584×*-lowering-*.f64
2 384×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025138
168138
2170138
3455138
41250138
52461138
63264138
73600138
83896138
94079138
105224138
116020138
126788138
137056138
147836138
08372120
Stop Event
iter limit
node limit
Counts
36 → 36
Calls
Call 1
Inputs
(* -3/8 y)
(- x (* 3/8 y))
(- x (* 3/8 y))
(- x (* 3/8 y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
x
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(* -3/8 y)
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* -3/8 y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
Outputs
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(- x (* 3/8 y))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(- x (* 3/8 y))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(- x (* 3/8 y))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
x
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
x
(+ x (* -3/8 y))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(+ x (* -3/8 y))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(+ x (* -3/8 y))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* y (- (/ x y) 3/8))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* y (- (/ x y) 3/8))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* y (- (/ x y) 3/8))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))

eval26.0ms (0.4%)

Memory
25.9MiB live, 63.0MiB allocated
Compiler

Compiled 11 174 to 596 computations (94.7% saved)

prune33.0ms (0.5%)

Memory
-0.9MiB live, 71.5MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New2356241
Fresh000
Picked101
Done000
Total2366242
Accuracy
100.0%
Counts
242 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 y #s(literal -3/8 binary64) x)
99.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal -3/8 binary64)))))
75.6%
(-.f64 x (/.f64 (*.f64 (*.f64 y y) #s(literal -9/64 binary64)) (*.f64 y #s(literal -3/8 binary64))))
99.9%
(-.f64 x (*.f64 y #s(literal 3/8 binary64)))
52.0%
(*.f64 #s(literal -3/8 binary64) y)
49.7%
x
Compiler

Compiled 90 to 64 computations (28.9% saved)

simplify28.0ms (0.5%)

Memory
-20.6MiB live, 26.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y #s(literal -3/8 binary64))
cost-diff0
(+.f64 x (*.f64 y #s(literal -3/8 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal -3/8 binary64))))
cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal -3/8 binary64)))))
cost-diff0
(*.f64 y #s(literal 3/8 binary64))
cost-diff0
(-.f64 x (*.f64 y #s(literal 3/8 binary64)))
cost-diff0
(*.f64 #s(literal -3/8 binary64) y)
cost-diff6272
(fma.f64 y #s(literal -3/8 binary64) x)
Rules
144×accelerator-lowering-fma.f32
144×accelerator-lowering-fma.f64
96×*-lowering-*.f32
96×*-lowering-*.f64
66×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01349
12349
24349
37349
49949
513249
619549
724349
828949
931449
1032249
032244
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (* y -3/8) x)
y
-3/8
x
x
(* -3/8 y)
-3/8
y
(- x (* y 3/8))
x
(* y 3/8)
y
3/8
(/ 1 (/ 1 (+ x (* y -3/8))))
1
(/ 1 (+ x (* y -3/8)))
(+ x (* y -3/8))
x
(* y -3/8)
y
-3/8
Outputs
(+ (* y -3/8) x)
(+.f64 x (*.f64 y #s(literal -3/8 binary64)))
y
-3/8
#s(literal -3/8 binary64)
x
x
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
-3/8
#s(literal -3/8 binary64)
y
(- x (* y 3/8))
(+.f64 x (*.f64 y #s(literal -3/8 binary64)))
x
(* y 3/8)
(*.f64 y #s(literal 3/8 binary64))
y
3/8
#s(literal 3/8 binary64)
(/ 1 (/ 1 (+ x (* y -3/8))))
(+.f64 x (*.f64 y #s(literal -3/8 binary64)))
1
#s(literal 1 binary64)
(/ 1 (+ x (* y -3/8)))
(/.f64 #s(literal -1 binary64) (-.f64 (*.f64 y #s(literal 3/8 binary64)) x))
(+ x (* y -3/8))
(+.f64 x (*.f64 y #s(literal -3/8 binary64)))
x
(* y -3/8)
(*.f64 y #s(literal -3/8 binary64))
y
-3/8
#s(literal -3/8 binary64)

localize66.0ms (1.1%)

Memory
22.8MiB live, 100.5MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 y #s(literal -3/8 binary64))
accuracy99.9%
(+.f64 x (*.f64 y #s(literal -3/8 binary64)))
accuracy99.7%
(/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal -3/8 binary64))))
accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal -3/8 binary64)))))
accuracy100.0%
(*.f64 y #s(literal 3/8 binary64))
accuracy99.9%
(-.f64 x (*.f64 y #s(literal 3/8 binary64)))
accuracy100.0%
(*.f64 #s(literal -3/8 binary64) y)
accuracy100.0%
(fma.f64 y #s(literal -3/8 binary64) x)
Samples
20.0ms216×0valid
4.0ms20×1valid
3.0ms3valid
3.0ms11×2valid
Compiler

Compiled 54 to 15 computations (72.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 6.0ms (35.6% of total)
ival-div: 4.0ms (23.7% of total)
ival-add: 3.0ms (17.8% of total)
ival-sub: 2.0ms (11.9% of total)
adjust: 1.0ms (5.9% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
-24.4MiB live, 13.9MiB allocated
Counts
8 → 156
Calls
Call 1
Inputs
#<alt (+ (* y -3/8) x)>
#<alt (* -3/8 y)>
#<alt (- x (* y 3/8))>
#<alt (* y 3/8)>
#<alt (/ 1 (/ 1 (+ x (* y -3/8))))>
#<alt (/ 1 (+ x (* y -3/8)))>
#<alt (+ x (* y -3/8))>
#<alt (* y -3/8)>
Outputs
#<alt x>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (* -3/8 y)>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* -3/8 y)>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -3/8 y)>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt x>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (- x (* 3/8 y))>
#<alt (- x (* 3/8 y))>
#<alt (- x (* 3/8 y))>
#<alt x>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt x>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (* -3/8 y)>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* -3/8 y)>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* -3/8 y)>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt x>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt x>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (* -3/8 y)>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* -3/8 y)>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (/ -8/3 y)>
#<alt (- (* -64/9 (/ x (pow y 2))) (* 8/3 (/ 1 y)))>
#<alt (- (* x (- (* -512/27 (/ x (pow y 3))) (* 64/9 (/ 1 (pow y 2))))) (* 8/3 (/ 1 y)))>
#<alt (- (* x (- (* x (- (* -4096/81 (/ x (pow y 4))) (* 512/27 (/ 1 (pow y 3))))) (* 64/9 (/ 1 (pow y 2))))) (* 8/3 (/ 1 y)))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* 3/8 (/ y x))) x)>
#<alt (/ (- (+ 1 (* 9/64 (/ (pow y 2) (pow x 2)))) (* -3/8 (/ y x))) x)>
#<alt (/ (- (+ 1 (* 27/512 (/ (pow y 3) (pow x 3)))) (+ (* -3/8 (/ y x)) (* -9/64 (/ (pow y 2) (pow x 2))))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (* -3/8 (/ y x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 9/64 (/ (pow y 2) x)) (* -3/8 y)) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -27/512 (/ (pow y 3) x)) (* 9/64 (pow y 2))) x)) (* -3/8 y)) x)) 1) x))>
#<alt (/ 1 x)>
#<alt (+ (* 3/8 (/ y (pow x 2))) (/ 1 x))>
#<alt (+ (* y (+ (* 9/64 (/ y (pow x 3))) (* 3/8 (/ 1 (pow x 2))))) (/ 1 x))>
#<alt (+ (* y (+ (* y (+ (* 27/512 (/ y (pow x 4))) (* 9/64 (/ 1 (pow x 3))))) (* 3/8 (/ 1 (pow x 2))))) (/ 1 x))>
#<alt (/ -8/3 y)>
#<alt (/ (- (* -64/9 (/ x y)) 8/3) y)>
#<alt (/ (- (* -512/27 (/ (pow x 2) (pow y 2))) (+ 8/3 (* 64/9 (/ x y)))) y)>
#<alt (/ (- (* -4096/81 (/ (pow x 3) (pow y 3))) (+ 8/3 (+ (* 64/9 (/ x y)) (* 512/27 (/ (pow x 2) (pow y 2)))))) y)>
#<alt (/ -8/3 y)>
#<alt (* -1 (/ (+ 8/3 (* 64/9 (/ x y))) y))>
#<alt (* -1 (/ (+ 8/3 (* -1 (/ (- (* -512/27 (/ (pow x 2) y)) (* 64/9 x)) y))) y))>
#<alt (* -1 (/ (+ 8/3 (* -1 (/ (- (* -1 (/ (- (* 4096/81 (/ (pow x 3) y)) (* -512/27 (pow x 2))) y)) (* 64/9 x)) y))) y))>
#<alt (* -3/8 y)>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt x>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt (* x (+ 1 (* -3/8 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 3/8 (/ y x)) 1)))>
#<alt x>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (+ x (* -3/8 y))>
#<alt (* -3/8 y)>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* y (- (/ x y) 3/8))>
#<alt (* -3/8 y)>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 3/8 (* -1 (/ x y)))))>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
Calls

39 calls:

TimeVariablePointExpression
1.0ms
y
@inf
(/ 1 (+ x (* y -3/8)))
0.0ms
y
@0
(/ 1 (+ x (* y -3/8)))
0.0ms
x
@0
(/ 1 (+ x (* y -3/8)))
0.0ms
y
@-inf
(/ 1 (+ x (* y -3/8)))
0.0ms
x
@inf
(/ 1 (+ x (* y -3/8)))

rewrite364.0ms (6%)

Memory
7.2MiB live, 666.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 180×accelerator-lowering-fma.f32
6 180×accelerator-lowering-fma.f64
3 014×*-lowering-*.f32
3 014×*-lowering-*.f64
1 420×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01336
16836
253236
3642836
0812931
Stop Event
iter limit
node limit
Counts
8 → 1 124
Calls
Call 1
Inputs
(+ (* y -3/8) x)
(* -3/8 y)
(- x (* y 3/8))
(* y 3/8)
(/ 1 (/ 1 (+ x (* y -3/8))))
(/ 1 (+ x (* y -3/8)))
(+ x (* y -3/8))
(* y -3/8)
Outputs
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(+.f64 (*.f64 y #s(literal -3/8 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)))
(+.f64 x (*.f64 y #s(literal -3/8 binary64)))
(+.f64 x (*.f64 y #s(literal 3/8 binary64)))
(+.f64 x (*.f64 (*.f64 y #s(literal 3/8 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 y #s(literal 3/8 binary64)) x)
(+.f64 (*.f64 y #s(literal 3/8 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(+.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x (+.f64 x (*.f64 y #s(literal 3/8 binary64)))))) (neg.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27/512 binary64)) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x (+.f64 x (*.f64 y #s(literal 3/8 binary64))))))))
(+.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 (*.f64 y #s(literal 3/8 binary64)) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 y #s(literal 3/8 binary64)) x))))
(+.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 y #s(literal 3/8 binary64)))) (neg.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (+.f64 x (*.f64 y #s(literal 3/8 binary64))))))
(+.f64 (*.f64 (*.f64 y #s(literal 3/8 binary64)) #s(literal 1 binary64)) x)
(+.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 y #s(literal -3/8 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 y #s(literal -3/8 binary64)))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (*.f64 y #s(literal -3/8 binary64)))
(+.f64 (-.f64 x #s(literal 0 binary64)) (*.f64 y #s(literal 3/8 binary64)))
(exp.f64 (log.f64 (+.f64 x (*.f64 y #s(literal 3/8 binary64)))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (*.f64 y #s(literal 3/8 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 x (*.f64 y #s(literal 3/8 binary64))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal 3/8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal 3/8 binary64)))))) #s(literal -1/2 binary64)))
(-.f64 x (*.f64 y #s(literal -3/8 binary64)))
(-.f64 x (*.f64 y #s(literal 3/8 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 y #s(literal 3/8 binary64)) x))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x (+.f64 x (*.f64 y #s(literal 3/8 binary64)))))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27/512 binary64)) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x (+.f64 x (*.f64 y #s(literal 3/8 binary64)))))))
(-.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 (*.f64 y #s(literal 3/8 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y #s(literal 3/8 binary64)) x)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 y #s(literal 3/8 binary64)))) (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (+.f64 x (*.f64 y #s(literal 3/8 binary64)))))
(-.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (*.f64 y #s(literal 3/8 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x (+.f64 x (*.f64 y #s(literal 3/8 binary64)))))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27/512 binary64)) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x (+.f64 x (*.f64 y #s(literal 3/8 binary64)))))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 (*.f64 y #s(literal 3/8 binary64)) x)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 y #s(literal 3/8 binary64)) x)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 y #s(literal 3/8 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (+.f64 x (*.f64 y #s(literal 3/8 binary64)))) #s(literal 1 binary64)))
(-.f64 (+.f64 x #s(literal 0 binary64)) (*.f64 y #s(literal 3/8 binary64)))
(fma.f64 y #s(literal -3/8 binary64) x)
(fma.f64 y #s(literal -3/8 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(fma.f64 y #s(literal -3/8 binary64) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 y #s(literal -3/8 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)))
(fma.f64 y #s(literal 3/8 binary64) x)
(fma.f64 y #s(literal 3/8 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(fma.f64 y (/.f64 (*.f64 y #s(literal 9/64 binary64)) (-.f64 (*.f64 y #s(literal 3/8 binary64)) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 y #s(literal 3/8 binary64)) x))))
(fma.f64 #s(literal -3/8 binary64) y x)
(fma.f64 #s(literal -3/8 binary64) y (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(fma.f64 #s(literal -3/8 binary64) y (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 #s(literal -3/8 binary64) y (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)))
(fma.f64 #s(literal -3/8 binary64) (-.f64 #s(literal 0 binary64) y) x)
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(*.f64 (/.f64 (+.f64 x (*.f64 y #s(literal 3/8 binary64))) (+.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27/512 binary64)) (*.f64 x (*.f64 x x)))) (/.f64 (+.f64 x (*.f64 y #s(literal 3/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x (+.f64 x (*.f64 y #s(literal 3/8 binary64))))))))
(*.f64 (/.f64 (+.f64 x (*.f64 y #s(literal 3/8 binary64))) (pow.f64 (+.f64 x (*.f64 y #s(literal 3/8 binary64))) #s(literal 1/2 binary64))) (/.f64 (+.f64 x (*.f64 y #s(literal 3/8 binary64))) (pow.f64 (+.f64 x (*.f64 y #s(literal 3/8 binary64))) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (+.f64 x (*.f64 y #s(literal 3/8 binary64))) (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x))) (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal 3/8 binary64)) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal 3/8 binary64)))))
(*.f64 (/.f64 (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x)) (+.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27/512 binary64)) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x (+.f64 x (*.f64 y #s(literal 3/8 binary64))))))
(*.f64 (/.f64 (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x)) (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x))) (-.f64 (*.f64 y #s(literal 3/8 binary64)) x))
(*.f64 (/.f64 (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x)) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x))) (+.f64 x (*.f64 y #s(literal 3/8 binary64))))
(*.f64 (/.f64 (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x)) (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x))) (+.f64 x (*.f64 y #s(literal 3/8 binary64))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27/512 binary64)) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 #s(literal 729/262144 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x (+.f64 x (*.f64 y #s(literal 3/8 binary64)))) (*.f64 (*.f64 x x) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x)))))) (+.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 81/4096 binary64)) (*.f64 (*.f64 x (+.f64 x (*.f64 y #s(literal 3/8 binary64)))) (-.f64 (*.f64 x (+.f64 x (*.f64 y #s(literal 3/8 binary64)))) (*.f64 y (*.f64 y #s(literal 9/64 binary64)))))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27/512 binary64)) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 81/4096 binary64)) (*.f64 (*.f64 x x) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x))))) (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x (+.f64 x (*.f64 y #s(literal 3/8 binary64))))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27/512 binary64)) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 #s(literal -3/8 binary64) (-.f64 (*.f64 y #s(literal 3/8 binary64)) x))) (*.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x)))))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 #s(literal -3/8 binary64) (-.f64 (*.f64 y #s(literal 3/8 binary64)) x))) (-.f64 (*.f64 y (*.f64 #s(literal -3/8 binary64) (-.f64 (*.f64 y #s(literal 3/8 binary64)) x))) (*.f64 x x)))))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27/512 binary64)) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x))))) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x (+.f64 x (*.f64 y #s(literal 3/8 binary64))))))
(*.f64 (/.f64 (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x)) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27/512 binary64)) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x (+.f64 x (*.f64 y #s(literal 3/8 binary64))))))
(*.f64 (/.f64 (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x)) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27/512 binary64)) (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x (+.f64 x (*.f64 y #s(literal 3/8 binary64))))))
(+.f64 #s(literal 0 binary64) (*.f64 y #s(literal -3/8 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 y #s(literal 3/8 binary64)))
(neg.f64 (*.f64 y #s(literal 3/8 binary64)))
(neg.f64 (*.f64 (*.f64 y #s(literal 3/8 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -27/512 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 y #s(literal 3/8 binary64))))))
(/.f64 (*.f64 (*.f64 y y) #s(literal -9/64 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 3/8 binary64))))
(*.f64 y #s(literal -3/8 binary64))
(*.f64 #s(literal -3/8 binary64) y)
(*.f64 #s(literal -3/8 binary64) (*.f64 y #s(literal 1 binary64)))
(*.f64 (*.f64 y #s(literal -3/8 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 3/8 binary64) (-.f64 #s(literal 0 binary64) y))
(*.f64 #s(literal 3/8 binary64) (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)))
(*.f64 (*.f64 y #s(literal 3/8 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y #s(literal -3/8 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 y #s(literal 3/8 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y #s(literal 3/8 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 3/8 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) y) #s(literal -3/8 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal 3/8 binary64))

simplify424.0ms (6.9%)

Memory
-22.3MiB live, 695.4MiB allocated
Algorithm
egg-herbie
Rules
14 036×accelerator-lowering-fma.f32
14 036×accelerator-lowering-fma.f64
4 130×*-lowering-*.f32
4 130×*-lowering-*.f64
2 110×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0164878
1464866
21216844
33720822
08083715
Stop Event
iter limit
node limit
Counts
156 → 156
Calls
Call 1
Inputs
x
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(* -3/8 y)
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* -3/8 y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -3/8 y)
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(+ x (* -3/8 y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(- x (* 3/8 y))
(- x (* 3/8 y))
(- x (* 3/8 y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
x
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(* -3/8 y)
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* -3/8 y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* -3/8 y)
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(+ x (* -3/8 y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
x
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(* -3/8 y)
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* -3/8 y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(/ -8/3 y)
(- (* -64/9 (/ x (pow y 2))) (* 8/3 (/ 1 y)))
(- (* x (- (* -512/27 (/ x (pow y 3))) (* 64/9 (/ 1 (pow y 2))))) (* 8/3 (/ 1 y)))
(- (* x (- (* x (- (* -4096/81 (/ x (pow y 4))) (* 512/27 (/ 1 (pow y 3))))) (* 64/9 (/ 1 (pow y 2))))) (* 8/3 (/ 1 y)))
(/ 1 x)
(/ (+ 1 (* 3/8 (/ y x))) x)
(/ (- (+ 1 (* 9/64 (/ (pow y 2) (pow x 2)))) (* -3/8 (/ y x))) x)
(/ (- (+ 1 (* 27/512 (/ (pow y 3) (pow x 3)))) (+ (* -3/8 (/ y x)) (* -9/64 (/ (pow y 2) (pow x 2))))) x)
(/ 1 x)
(* -1 (/ (- (* -3/8 (/ y x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 9/64 (/ (pow y 2) x)) (* -3/8 y)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -27/512 (/ (pow y 3) x)) (* 9/64 (pow y 2))) x)) (* -3/8 y)) x)) 1) x))
(/ 1 x)
(+ (* 3/8 (/ y (pow x 2))) (/ 1 x))
(+ (* y (+ (* 9/64 (/ y (pow x 3))) (* 3/8 (/ 1 (pow x 2))))) (/ 1 x))
(+ (* y (+ (* y (+ (* 27/512 (/ y (pow x 4))) (* 9/64 (/ 1 (pow x 3))))) (* 3/8 (/ 1 (pow x 2))))) (/ 1 x))
(/ -8/3 y)
(/ (- (* -64/9 (/ x y)) 8/3) y)
(/ (- (* -512/27 (/ (pow x 2) (pow y 2))) (+ 8/3 (* 64/9 (/ x y)))) y)
(/ (- (* -4096/81 (/ (pow x 3) (pow y 3))) (+ 8/3 (+ (* 64/9 (/ x y)) (* 512/27 (/ (pow x 2) (pow y 2)))))) y)
(/ -8/3 y)
(* -1 (/ (+ 8/3 (* 64/9 (/ x y))) y))
(* -1 (/ (+ 8/3 (* -1 (/ (- (* -512/27 (/ (pow x 2) y)) (* 64/9 x)) y))) y))
(* -1 (/ (+ 8/3 (* -1 (/ (- (* -1 (/ (- (* 4096/81 (/ (pow x 3) y)) (* -512/27 (pow x 2))) y)) (* 64/9 x)) y))) y))
(* -3/8 y)
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(+ x (* -3/8 y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
x
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(* -3/8 y)
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* -3/8 y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
Outputs
x
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* y (- (/ x y) 3/8))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* y (- (/ x y) 3/8))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* y (- (/ x y) 3/8))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(- x (* 3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(- x (* 3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(- x (* 3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
x
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* y (- (/ x y) 3/8))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* y (- (/ x y) 3/8))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* y (- (/ x y) 3/8))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
x
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* y (- (/ x y) 3/8))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* y (- (/ x y) 3/8))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* y (- (/ x y) 3/8))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(/ -8/3 y)
(/.f64 #s(literal -8/3 binary64) y)
(- (* -64/9 (/ x (pow y 2))) (* 8/3 (/ 1 y)))
(/.f64 (+.f64 #s(literal -8/3 binary64) (/.f64 (*.f64 x #s(literal -64/9 binary64)) y)) y)
(- (* x (- (* -512/27 (/ x (pow y 3))) (* 64/9 (/ 1 (pow y 2))))) (* 8/3 (/ 1 y)))
(/.f64 (+.f64 #s(literal -8/3 binary64) (*.f64 (/.f64 x y) (+.f64 #s(literal -64/9 binary64) (/.f64 (*.f64 x #s(literal -512/27 binary64)) y)))) y)
(- (* x (- (* x (- (* -4096/81 (/ x (pow y 4))) (* 512/27 (/ 1 (pow y 3))))) (* 64/9 (/ 1 (pow y 2))))) (* 8/3 (/ 1 y)))
(+.f64 (*.f64 x (/.f64 (*.f64 #s(literal -4096/81 binary64) (*.f64 x x)) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 (+.f64 #s(literal -8/3 binary64) (*.f64 (/.f64 x y) (+.f64 #s(literal -64/9 binary64) (/.f64 (*.f64 x #s(literal -512/27 binary64)) y)))) y))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 3/8 (/ y x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 3/8 binary64)) x)) x)
(/ (- (+ 1 (* 9/64 (/ (pow y 2) (pow x 2)))) (* -3/8 (/ y x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (+.f64 #s(literal 3/8 binary64) (*.f64 y (/.f64 #s(literal 9/64 binary64) x))))) x)
(/ (- (+ 1 (* 27/512 (/ (pow y 3) (pow x 3)))) (+ (* -3/8 (/ y x)) (* -9/64 (/ (pow y 2) (pow x 2))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 y #s(literal 3/8 binary64)) (/.f64 (*.f64 (*.f64 y y) (-.f64 #s(literal 9/64 binary64) (*.f64 (/.f64 y x) #s(literal -27/512 binary64)))) x)) x)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (* -3/8 (/ y x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 3/8 binary64)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 9/64 (/ (pow y 2) x)) (* -3/8 y)) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (+.f64 #s(literal 3/8 binary64) (*.f64 y (/.f64 #s(literal 9/64 binary64) x))))) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -27/512 (/ (pow y 3) x)) (* 9/64 (pow y 2))) x)) (* -3/8 y)) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 y #s(literal 3/8 binary64)) (/.f64 (*.f64 (*.f64 y y) (-.f64 #s(literal 9/64 binary64) (*.f64 (/.f64 y x) #s(literal -27/512 binary64)))) x)) x)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* 3/8 (/ y (pow x 2))) (/ 1 x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 3/8 binary64)) x)) x)
(+ (* y (+ (* 9/64 (/ y (pow x 3))) (* 3/8 (/ 1 (pow x 2))))) (/ 1 x))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (+.f64 #s(literal 3/8 binary64) (*.f64 y (/.f64 #s(literal 9/64 binary64) x))))) x)
(+ (* y (+ (* y (+ (* 27/512 (/ y (pow x 4))) (* 9/64 (/ 1 (pow x 3))))) (* 3/8 (/ 1 (pow x 2))))) (/ 1 x))
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (+.f64 #s(literal 3/8 binary64) (*.f64 y (/.f64 #s(literal 9/64 binary64) x))))) x) (/.f64 (*.f64 y (*.f64 (*.f64 y y) #s(literal 27/512 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/ -8/3 y)
(/.f64 #s(literal -8/3 binary64) y)
(/ (- (* -64/9 (/ x y)) 8/3) y)
(/.f64 (+.f64 #s(literal -8/3 binary64) (/.f64 (*.f64 x #s(literal -64/9 binary64)) y)) y)
(/ (- (* -512/27 (/ (pow x 2) (pow y 2))) (+ 8/3 (* 64/9 (/ x y)))) y)
(/.f64 (+.f64 #s(literal -8/3 binary64) (*.f64 (/.f64 x y) (+.f64 #s(literal -64/9 binary64) (/.f64 (*.f64 x #s(literal -512/27 binary64)) y)))) y)
(/ (- (* -4096/81 (/ (pow x 3) (pow y 3))) (+ 8/3 (+ (* 64/9 (/ x y)) (* 512/27 (/ (pow x 2) (pow y 2)))))) y)
(/.f64 (+.f64 #s(literal -8/3 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal -512/27 binary64) (*.f64 (/.f64 x y) #s(literal 4096/81 binary64)))) y) (*.f64 x #s(literal -64/9 binary64))) y)) y)
(/ -8/3 y)
(/.f64 #s(literal -8/3 binary64) y)
(* -1 (/ (+ 8/3 (* 64/9 (/ x y))) y))
(/.f64 (+.f64 #s(literal -8/3 binary64) (/.f64 (*.f64 x #s(literal -64/9 binary64)) y)) y)
(* -1 (/ (+ 8/3 (* -1 (/ (- (* -512/27 (/ (pow x 2) y)) (* 64/9 x)) y))) y))
(/.f64 (+.f64 #s(literal -8/3 binary64) (*.f64 (/.f64 x y) (+.f64 #s(literal -64/9 binary64) (/.f64 (*.f64 x #s(literal -512/27 binary64)) y)))) y)
(* -1 (/ (+ 8/3 (* -1 (/ (- (* -1 (/ (- (* 4096/81 (/ (pow x 3) y)) (* -512/27 (pow x 2))) y)) (* 64/9 x)) y))) y))
(/.f64 (+.f64 #s(literal -8/3 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal -512/27 binary64) (*.f64 (/.f64 x y) #s(literal 4096/81 binary64)))) y) (*.f64 x #s(literal -64/9 binary64))) y)) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* x (+ 1 (* -3/8 (/ y x))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
x
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(+ x (* -3/8 y))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* y (- (/ x y) 3/8))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* y (- (/ x y) 3/8))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* y (- (/ x y) 3/8))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)

eval246.0ms (4%)

Memory
12.9MiB live, 281.2MiB allocated
Compiler

Compiled 30 476 to 1 425 computations (95.3% saved)

prune137.0ms (2.2%)

Memory
9.6MiB live, 126.0MiB allocated
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1 27821 280
Fresh101
Picked145
Done000
Total1 28061 286
Accuracy
100.0%
Counts
1 286 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 y #s(literal -3/8 binary64) x)
29.4%
(/.f64 (*.f64 (*.f64 y y) #s(literal -9/64 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 3/8 binary64))))
51.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8/3 binary64) y))
99.9%
(-.f64 x (*.f64 y #s(literal 3/8 binary64)))
52.0%
(*.f64 #s(literal -3/8 binary64) y)
49.7%
x
Compiler

Compiled 41 to 31 computations (24.4% saved)

simplify466.0ms (7.6%)

Memory
6.2MiB live, 336.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y y)
cost-diff0
(*.f64 (*.f64 y y) #s(literal -9/64 binary64))
cost-diff128
(+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 3/8 binary64)))
cost-diff384
(/.f64 (*.f64 (*.f64 y y) #s(literal -9/64 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 3/8 binary64))))
cost-diff0
(/.f64 #s(literal -8/3 binary64) y)
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8/3 binary64) y))
Rules
6 054×*-lowering-*.f32
6 054×*-lowering-*.f64
3 038×pow-lowering-pow.f64
3 038×pow-lowering-pow.f32
2 978×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01330
12530
25730
311130
418830
543430
6124330
7235130
8260130
9281830
10313930
11358630
12417330
13489730
14528430
15547730
16558230
17569330
18580530
19667330
20718030
21735430
22746230
23756830
24767330
25777830
26789030
0803430
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ 1 (/ -8/3 y))
1
(/ -8/3 y)
-8/3
y
(/ (* (* y y) -9/64) (+ 0 (* y 3/8)))
(* (* y y) -9/64)
(* y y)
y
-9/64
(+ 0 (* y 3/8))
0
(* y 3/8)
3/8
Outputs
(/ 1 (/ -8/3 y))
(/.f64 y #s(literal -8/3 binary64))
1
#s(literal 1 binary64)
(/ -8/3 y)
(/.f64 #s(literal -8/3 binary64) y)
-8/3
#s(literal -8/3 binary64)
y
(/ (* (* y y) -9/64) (+ 0 (* y 3/8)))
(/.f64 y #s(literal -8/3 binary64))
(* (* y y) -9/64)
(*.f64 y (*.f64 y #s(literal -9/64 binary64)))
(* y y)
(*.f64 y y)
y
-9/64
#s(literal -9/64 binary64)
(+ 0 (* y 3/8))
(*.f64 y #s(literal 3/8 binary64))
0
#s(literal 0 binary64)
(* y 3/8)
(*.f64 y #s(literal 3/8 binary64))
3/8
#s(literal 3/8 binary64)

localize100.0ms (1.6%)

Memory
4.6MiB live, 124.6MiB allocated
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 y y)
accuracy100.0%
(*.f64 y #s(literal 3/8 binary64))
accuracy99.8%
(*.f64 (*.f64 y y) #s(literal -9/64 binary64))
accuracy68.0%
(/.f64 (*.f64 (*.f64 y y) #s(literal -9/64 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 3/8 binary64))))
accuracy99.6%
(/.f64 #s(literal -8/3 binary64) y)
accuracy99.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8/3 binary64) y))
Samples
38.0ms83×5exit
28.0ms173×0valid
Compiler

Compiled 44 to 16 computations (63.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-mult: 17.0ms (35.7% of total)
const: 13.0ms (27.3% of total)
ival-div: 11.0ms (23.1% of total)
adjust: 4.0ms (8.4% of total)
exact: 1.0ms (2.1% of total)
ival-add: 1.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series3.0ms (0%)

Memory
6.1MiB live, 6.1MiB allocated
Counts
7 → 84
Calls
Call 1
Inputs
#<alt (/ 1 (/ -8/3 y))>
#<alt (/ -8/3 y)>
#<alt (/ (* (* y y) -9/64) (+ 0 (* y 3/8)))>
#<alt (+ 0 (* y 3/8))>
#<alt (* (* y y) -9/64)>
#<alt (* y y)>
#<alt (* y 3/8)>
Outputs
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (/ -8/3 y)>
#<alt (/ -8/3 y)>
#<alt (/ -8/3 y)>
#<alt (/ -8/3 y)>
#<alt (/ -8/3 y)>
#<alt (/ -8/3 y)>
#<alt (/ -8/3 y)>
#<alt (/ -8/3 y)>
#<alt (/ -8/3 y)>
#<alt (/ -8/3 y)>
#<alt (/ -8/3 y)>
#<alt (/ -8/3 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* -9/64 (pow y 2))>
#<alt (* -9/64 (pow y 2))>
#<alt (* -9/64 (pow y 2))>
#<alt (* -9/64 (pow y 2))>
#<alt (* -9/64 (pow y 2))>
#<alt (* -9/64 (pow y 2))>
#<alt (* -9/64 (pow y 2))>
#<alt (* -9/64 (pow y 2))>
#<alt (* -9/64 (pow y 2))>
#<alt (* -9/64 (pow y 2))>
#<alt (* -9/64 (pow y 2))>
#<alt (* -9/64 (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 (pow y 2)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
#<alt (* 3/8 y)>
Calls

21 calls:

TimeVariablePointExpression
0.0ms
y
@0
(* (* y y) -9/64)
0.0ms
y
@inf
(* (* y y) -9/64)
0.0ms
y
@0
(/ -8/3 y)
0.0ms
y
@-inf
(/ -8/3 y)
0.0ms
y
@inf
(+ 0 (* y 3/8))

rewrite540.0ms (8.8%)

Memory
-19.4MiB live, 583.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 048×accelerator-lowering-fma.f32
4 048×accelerator-lowering-fma.f64
2 776×*-lowering-*.f32
2 776×*-lowering-*.f64
1 948×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01323
16623
247123
0494423
Stop Event
iter limit
iter limit
node limit
Counts
7 → 2 280
Calls
Call 1
Inputs
(/ 1 (/ -8/3 y))
(/ -8/3 y)
(/ (* (* y y) -9/64) (+ 0 (* y 3/8)))
(+ 0 (* y 3/8))
(* (* y y) -9/64)
(* y y)
(* y 3/8)
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 y #s(literal -8/3 binary64)))
(+.f64 (/.f64 y #s(literal -8/3 binary64)) #s(literal 0 binary64))
(+.f64 (/.f64 y #s(literal -8/3 binary64)) (*.f64 (/.f64 #s(literal -8/3 binary64) y) #s(literal 0 binary64)))
(+.f64 (/.f64 y #s(literal -8/3 binary64)) (*.f64 (*.f64 (*.f64 y #s(literal -9/64 binary64)) (/.f64 #s(literal -64/9 binary64) y)) #s(literal 0 binary64)))
(+.f64 (/.f64 y #s(literal -8/3 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -9/64 binary64)) (/.f64 #s(literal -64/9 binary64) y))))
(+.f64 (*.f64 (/.f64 #s(literal -8/3 binary64) y) #s(literal 0 binary64)) (/.f64 y #s(literal -8/3 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 y #s(literal -9/64 binary64)) (/.f64 #s(literal -64/9 binary64) y)) #s(literal 0 binary64)) (/.f64 y #s(literal -8/3 binary64)))
(+.f64 (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -9/64 binary64)) (/.f64 #s(literal -64/9 binary64) y))) (/.f64 y #s(literal -8/3 binary64)))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -8/3 binary64) y))))
(-.f64 #s(literal 0 binary64) (/.f64 y #s(literal 8/3 binary64)))
(-.f64 (/.f64 y #s(literal -8/3 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 y #s(literal -8/3 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 y #s(literal -8/3 binary64)) (*.f64 (/.f64 #s(literal -8/3 binary64) y) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 y #s(literal -8/3 binary64)) (*.f64 (*.f64 (*.f64 y #s(literal -9/64 binary64)) (/.f64 #s(literal -64/9 binary64) y)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 y #s(literal -8/3 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -9/64 binary64)) (/.f64 #s(literal -64/9 binary64) y))))
(fma.f64 #s(literal -8/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (*.f64 y y) #s(literal -9/64 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal -8/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (*.f64 y y) #s(literal -9/64 binary64))) (*.f64 (/.f64 #s(literal -8/3 binary64) y) #s(literal 0 binary64)))
(fma.f64 #s(literal -8/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (*.f64 y y) #s(literal -9/64 binary64))) (*.f64 (*.f64 (*.f64 y #s(literal -9/64 binary64)) (/.f64 #s(literal -64/9 binary64) y)) #s(literal 0 binary64)))
(fma.f64 #s(literal -8/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (*.f64 y y) #s(literal -9/64 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 y #s(literal -9/64 binary64)) (/.f64 #s(literal -64/9 binary64) y))))
(fma.f64 y #s(literal -3/8 binary64) #s(literal 0 binary64))
(fma.f64 y #s(literal -3/8 binary64) (*.f64 (/.f64 #s(literal -8/3 binary64) y) #s(literal 0 binary64)))
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(/.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal -9/64 binary64)) #s(literal -3/8 binary64)) y)
(/.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal -9/64 binary64)) (/.f64 #s(literal -3/8 binary64) y)) (*.f64 y y))
(/.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal -9/64 binary64)) (/.f64 y #s(literal 3/8 binary64))) #s(literal -9/64 binary64))
(/.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal -9/64 binary64)) (/.f64 (*.f64 y y) #s(literal 3/8 binary64))) (/.f64 #s(literal -9/64 binary64) y))
(/.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal -9/64 binary64)) (/.f64 #s(literal -9/64 binary64) y)) (/.f64 (*.f64 y y) #s(literal 3/8 binary64)))
(/.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal -9/64 binary64)) (pow.f64 (/.f64 y #s(literal -8/3 binary64)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 y #s(literal -8/3 binary64)) #s(literal 1/2 binary64)))
(/.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal -9/64 binary64)) (*.f64 (*.f64 y #s(literal -9/64 binary64)) (/.f64 #s(literal -64/9 binary64) y))) (/.f64 y #s(literal -8/3 binary64)))
(/.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) y) #s(literal 3/8 binary64))
(/.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 (*.f64 y y) #s(literal -9/64 binary64))) (/.f64 #s(literal -8/3 binary64) y))
(/.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) #s(literal 3/8 binary64)) y)
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal -8/3 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 y #s(literal -9/64 binary64))) (/.f64 #s(literal 3/8 binary64) (*.f64 y y)))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 3/8 binary64) (*.f64 y y))) (/.f64 y #s(literal -9/64 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 3/8 binary64) y)) #s(literal -64/9 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 512/27 binary64) (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y #s(literal 9/64 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -64/9 binary64) (*.f64 y y))) (/.f64 y #s(literal -8/3 binary64)))
(pow.f64 (/.f64 y #s(literal 8/3 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 8/3 binary64) y) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y #s(literal 8/3 binary64)))
(*.f64 #s(literal -8/3 binary64) (*.f64 y #s(literal -9/64 binary64)))
(*.f64 y #s(literal 3/8 binary64))
(*.f64 y (/.f64 (*.f64 y #s(literal 9/64 binary64)) (/.f64 y #s(literal 8/3 binary64))))
(*.f64 y (/.f64 (*.f64 y #s(literal -9/64 binary64)) (/.f64 y #s(literal -8/3 binary64))))
(*.f64 (/.f64 #s(literal -8/3 binary64) y) (*.f64 (*.f64 y y) #s(literal -9/64 binary64)))
(*.f64 (*.f64 y y) (neg.f64 (/.f64 #s(literal -3/8 binary64) y)))
(*.f64 (*.f64 y y) (/.f64 #s(literal 9/64 binary64) (/.f64 y #s(literal 8/3 binary64))))
(*.f64 (*.f64 y y) (/.f64 #s(literal -9/64 binary64) (/.f64 y #s(literal -8/3 binary64))))
(*.f64 #s(literal -9/64 binary64) (neg.f64 (/.f64 y #s(literal 3/8 binary64))))
(*.f64 #s(literal -9/64 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 y #s(literal 8/3 binary64))))
(*.f64 #s(literal -9/64 binary64) (/.f64 (*.f64 y y) (/.f64 y #s(literal -8/3 binary64))))
(*.f64 #s(literal 3/8 binary64) y)
(*.f64 #s(literal 3/8 binary64) (/.f64 (/.f64 y (/.f64 #s(literal 8/3 binary64) y)) (/.f64 y #s(literal 8/3 binary64))))
(*.f64 (/.f64 y #s(literal 8/3 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 y #s(literal 8/3 binary64)) (*.f64 (*.f64 y #s(literal -9/64 binary64)) (/.f64 #s(literal -64/9 binary64) y)))
(*.f64 (/.f64 y #s(literal 8/3 binary64)) (*.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (/.f64 #s(literal 64/9 binary64) (*.f64 y y))))
(*.f64 (/.f64 y #s(literal 8/3 binary64)) (/.f64 (/.f64 y #s(literal 8/3 binary64)) (/.f64 y #s(literal 8/3 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 y #s(literal -8/3 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -3/8 binary64))
(*.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27/512 binary64)) (/.f64 #s(literal 64/9 binary64) (*.f64 y y)))
(*.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27/512 binary64)) (/.f64 (/.f64 #s(literal 64/9 binary64) (*.f64 y y)) #s(literal 1 binary64)))
(*.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (/.f64 #s(literal 8/3 binary64) y))
(*.f64 (/.f64 #s(literal 8/3 binary64) y) (*.f64 y (*.f64 y #s(literal 9/64 binary64))))
(*.f64 (*.f64 (*.f64 y y) #s(literal -9/64 binary64)) (/.f64 #s(literal -8/3 binary64) y))
(*.f64 (/.f64 y #s(literal -8/3 binary64)) #s(literal -1 binary64))
(*.f64 (*.f64 y #s(literal -9/64 binary64)) #s(literal -8/3 binary64))
(*.f64 (*.f64 y #s(literal -9/64 binary64)) (/.f64 y (/.f64 y #s(literal -8/3 binary64))))
(*.f64 #s(literal -3/8 binary64) (-.f64 #s(literal 0 binary64) y))
(*.f64 (/.f64 #s(literal -3/8 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(*.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal 27/512 binary64) (/.f64 #s(literal 64/9 binary64) (*.f64 y y))))
(*.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y #s(literal 9/64 binary64)))))
(*.f64 #s(literal 27/512 binary64) (*.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 64/9 binary64) (*.f64 y y))))
(*.f64 #s(literal 27/512 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y #s(literal 9/64 binary64)))))
(*.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -512/27 binary64)) (/.f64 #s(literal -64/9 binary64) (*.f64 y y)))
(*.f64 #s(literal 9/64 binary64) (/.f64 y #s(literal 3/8 binary64)))
(*.f64 (/.f64 y #s(literal 3/8 binary64)) #s(literal 9/64 binary64))
(*.f64 (/.f64 (*.f64 y y) #s(literal 3/8 binary64)) (neg.f64 (/.f64 #s(literal -9/64 binary64) y)))
(*.f64 (/.f64 #s(literal -9/64 binary64) y) (neg.f64 (/.f64 (*.f64 y y) #s(literal 3/8 binary64))))
(*.f64 (/.f64 #s(literal 64/9 binary64) (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27/512 binary64)))
(*.f64 (pow.f64 (/.f64 y #s(literal -8/3 binary64)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (/.f64 y #s(literal -8/3 binary64)) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (/.f64 y #s(literal 8/3 binary64)) #s(literal 3/2 binary64)) (*.f64 (pow.f64 (/.f64 y #s(literal 8/3 binary64)) #s(literal 3/2 binary64)) (/.f64 #s(literal 64/9 binary64) (*.f64 y y))))
(*.f64 (pow.f64 (/.f64 y #s(literal 8/3 binary64)) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (/.f64 y #s(literal 8/3 binary64)) #s(literal 3/2 binary64)) (*.f64 y (*.f64 y #s(literal 9/64 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal -3/8 binary64) y))
(*.f64 (*.f64 y #s(literal 9/64 binary64)) (/.f64 y (/.f64 y #s(literal 8/3 binary64))))
(*.f64 (/.f64 y (/.f64 #s(literal 8/3 binary64) y)) (/.f64 #s(literal 3/8 binary64) (/.f64 y #s(literal 8/3 binary64))))
(*.f64 (*.f64 y (/.f64 y #s(literal -8/3 binary64))) (/.f64 #s(literal -1 binary64) y))
(*.f64 (*.f64 (*.f64 y #s(literal -9/64 binary64)) (/.f64 #s(literal -64/9 binary64) y)) (/.f64 y #s(literal 8/3 binary64)))
(*.f64 (neg.f64 (/.f64 #s(literal -9/64 binary64) y)) (/.f64 (*.f64 y y) #s(literal 3/8 binary64)))
(*.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -512/27 binary64)) (*.f64 (*.f64 (*.f64 y y) #s(literal -9/64 binary64)) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 81/4096 binary64)))) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 81/4096 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal -9/64 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -8/3 binary64) y))
(*.f64 (neg.f64 (/.f64 #s(literal -3/8 binary64) y)) (*.f64 y y))
(*.f64 (neg.f64 (/.f64 y #s(literal 3/8 binary64))) #s(literal -9/64 binary64))
(*.f64 (neg.f64 (/.f64 (*.f64 y y) #s(literal 3/8 binary64))) (/.f64 #s(literal -9/64 binary64) y))
(*.f64 (neg.f64 (pow.f64 (/.f64 y #s(literal -8/3 binary64)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 y #s(literal -8/3 binary64)) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (*.f64 (*.f64 y #s(literal -9/64 binary64)) (/.f64 #s(literal -64/9 binary64) y))) (/.f64 y #s(literal -8/3 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal -9/64 binary64)) (*.f64 y (*.f64 y #s(literal 9/64 binary64)))) (/.f64 y #s(literal -8/3 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal -9/64 binary64)) #s(literal -8/3 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal -9/64 binary64)) y) (/.f64 #s(literal -8/3 binary64) (*.f64 y y)))
(*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal -9/64 binary64)) #s(literal 3/8 binary64)) (/.f64 #s(literal -64/9 binary64) y))
(*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal -9/64 binary64)) (/.f64 y #s(literal -9/64 binary64))) (/.f64 #s(literal 3/8 binary64) (*.f64 y y)))
(*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal -9/64 binary64)) (/.f64 #s(literal 3/8 binary64) (*.f64 y y))) (/.f64 y #s(literal -9/64 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal -9/64 binary64)) (/.f64 #s(literal 3/8 binary64) y)) #s(literal -64/9 binary64))
(*.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal -9/64 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 8/3 binary64) y))
(*.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal -9/64 binary64)) (-.f64 #s(literal 0 binary64) y)) #s(literal 8/3 binary64))
(*.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal -9/64 binary64)) #s(literal -3/8 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 (*.f64 y y) #s(literal -9/64 binary64))) (/.f64 y #s(literal -8/3 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 3/8 binary64) y)) #s(literal -9/64 binary64))
(*.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27/512 binary64)) (*.f64 #s(literal 729/262144 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 81/4096 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27/512 binary64)) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27/512 binary64)) (*.f64 (*.f64 y y) #s(literal -9/64 binary64)))) (/.f64 (*.f64 y (*.f64 y y)) #s(literal -512/27 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27/512 binary64)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal -512/27 binary64))) (/.f64 y #s(literal -8/3 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal -9/64 binary64)) (*.f64 y #s(literal -9/64 binary64))) #s(literal 3/8 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 27/512 binary64))) (*.f64 (*.f64 y y) (*.f64 #s(literal -9/64 binary64) (*.f64 y (*.f64 y #s(literal 9/64 binary64))))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y #s(literal -8/3 binary64))) (*.f64 y y))

simplify35.0ms (0.6%)

Memory
-18.7MiB live, 59.4MiB allocated
Algorithm
egg-herbie
Rules
22×*-lowering-*.f32
22×*-lowering-*.f64
10×*-commutative
pow-lowering-pow.f64
pow-lowering-pow.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011276
115276
219276
320276
020276
Stop Event
iter limit
saturated
Counts
84 → 84
Calls
Call 1
Inputs
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(/ -8/3 y)
(/ -8/3 y)
(/ -8/3 y)
(/ -8/3 y)
(/ -8/3 y)
(/ -8/3 y)
(/ -8/3 y)
(/ -8/3 y)
(/ -8/3 y)
(/ -8/3 y)
(/ -8/3 y)
(/ -8/3 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* -9/64 (pow y 2))
(* -9/64 (pow y 2))
(* -9/64 (pow y 2))
(* -9/64 (pow y 2))
(* -9/64 (pow y 2))
(* -9/64 (pow y 2))
(* -9/64 (pow y 2))
(* -9/64 (pow y 2))
(* -9/64 (pow y 2))
(* -9/64 (pow y 2))
(* -9/64 (pow y 2))
(* -9/64 (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)
(pow y 2)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
Outputs
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(/ -8/3 y)
(/.f64 #s(literal -8/3 binary64) y)
(/ -8/3 y)
(/.f64 #s(literal -8/3 binary64) y)
(/ -8/3 y)
(/.f64 #s(literal -8/3 binary64) y)
(/ -8/3 y)
(/.f64 #s(literal -8/3 binary64) y)
(/ -8/3 y)
(/.f64 #s(literal -8/3 binary64) y)
(/ -8/3 y)
(/.f64 #s(literal -8/3 binary64) y)
(/ -8/3 y)
(/.f64 #s(literal -8/3 binary64) y)
(/ -8/3 y)
(/.f64 #s(literal -8/3 binary64) y)
(/ -8/3 y)
(/.f64 #s(literal -8/3 binary64) y)
(/ -8/3 y)
(/.f64 #s(literal -8/3 binary64) y)
(/ -8/3 y)
(/.f64 #s(literal -8/3 binary64) y)
(/ -8/3 y)
(/.f64 #s(literal -8/3 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* -9/64 (pow y 2))
(*.f64 y (*.f64 y #s(literal -9/64 binary64)))
(* -9/64 (pow y 2))
(*.f64 y (*.f64 y #s(literal -9/64 binary64)))
(* -9/64 (pow y 2))
(*.f64 y (*.f64 y #s(literal -9/64 binary64)))
(* -9/64 (pow y 2))
(*.f64 y (*.f64 y #s(literal -9/64 binary64)))
(* -9/64 (pow y 2))
(*.f64 y (*.f64 y #s(literal -9/64 binary64)))
(* -9/64 (pow y 2))
(*.f64 y (*.f64 y #s(literal -9/64 binary64)))
(* -9/64 (pow y 2))
(*.f64 y (*.f64 y #s(literal -9/64 binary64)))
(* -9/64 (pow y 2))
(*.f64 y (*.f64 y #s(literal -9/64 binary64)))
(* -9/64 (pow y 2))
(*.f64 y (*.f64 y #s(literal -9/64 binary64)))
(* -9/64 (pow y 2))
(*.f64 y (*.f64 y #s(literal -9/64 binary64)))
(* -9/64 (pow y 2))
(*.f64 y (*.f64 y #s(literal -9/64 binary64)))
(* -9/64 (pow y 2))
(*.f64 y (*.f64 y #s(literal -9/64 binary64)))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))

eval394.0ms (6.5%)

Memory
59.9MiB live, 639.2MiB allocated
Compiler

Compiled 37 770 to 2 774 computations (92.7% saved)

prune211.0ms (3.5%)

Memory
-18.9MiB live, 517.1MiB allocated
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New2 36132 364
Fresh000
Picked202
Done044
Total2 36372 370
Accuracy
100.0%
Counts
2 370 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 y #s(literal -3/8 binary64) x)
51.9%
(/.f64 (*.f64 y #s(literal 9/64 binary64)) #s(literal -3/8 binary64))
51.9%
(/.f64 y #s(literal -8/3 binary64))
51.9%
(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal -64/9 binary64) y))
99.9%
(-.f64 x (*.f64 y #s(literal 3/8 binary64)))
52.0%
(*.f64 #s(literal -3/8 binary64) y)
49.7%
x
Compiler

Compiled 40 to 31 computations (22.5% saved)

simplify5.0ms (0.1%)

Memory
-32.4MiB live, 7.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y #s(literal 9/64 binary64))
cost-diff128
(/.f64 (*.f64 y #s(literal 9/64 binary64)) #s(literal -3/8 binary64))
cost-diff0
(/.f64 y #s(literal -8/3 binary64))
cost-diff0
(/.f64 #s(literal -64/9 binary64) y)
cost-diff128
(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal -64/9 binary64) y))
Rules
12×*-lowering-*.f32
12×*-lowering-*.f64
10×/-lowering-/.f32
10×/-lowering-/.f64
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01123
11623
21823
31923
01923
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ 8/3 (/ -64/9 y))
8/3
(/ -64/9 y)
-64/9
y
(/ y -8/3)
y
-8/3
(/ (* y 9/64) -3/8)
(* y 9/64)
y
9/64
-3/8
Outputs
(/ 8/3 (/ -64/9 y))
(*.f64 y #s(literal -3/8 binary64))
8/3
#s(literal 8/3 binary64)
(/ -64/9 y)
(/.f64 #s(literal -64/9 binary64) y)
-64/9
#s(literal -64/9 binary64)
y
(/ y -8/3)
(/.f64 y #s(literal -8/3 binary64))
y
-8/3
#s(literal -8/3 binary64)
(/ (* y 9/64) -3/8)
(*.f64 y #s(literal -3/8 binary64))
(* y 9/64)
(*.f64 y #s(literal 9/64 binary64))
y
9/64
#s(literal 9/64 binary64)
-3/8
#s(literal -3/8 binary64)

localize114.0ms (1.9%)

Memory
28.7MiB live, 144.9MiB allocated
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 y #s(literal 9/64 binary64))
accuracy99.9%
(/.f64 (*.f64 y #s(literal 9/64 binary64)) #s(literal -3/8 binary64))
accuracy99.7%
(/.f64 y #s(literal -8/3 binary64))
accuracy99.7%
(/.f64 #s(literal -64/9 binary64) y)
accuracy99.3%
(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal -64/9 binary64) y))
Samples
50.0ms83×5exit
36.0ms173×0valid
Compiler

Compiled 29 to 14 computations (51.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
const: 32.0ms (61.5% of total)
ival-div: 15.0ms (28.8% of total)
adjust: 3.0ms (5.8% of total)
ival-mult: 1.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series2.0ms (0%)

Memory
4.2MiB live, 4.2MiB allocated
Counts
5 → 60
Calls
Call 1
Inputs
#<alt (/ 8/3 (/ -64/9 y))>
#<alt (/ -64/9 y)>
#<alt (/ y -8/3)>
#<alt (/ (* y 9/64) -3/8)>
#<alt (* y 9/64)>
Outputs
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (/ -64/9 y)>
#<alt (/ -64/9 y)>
#<alt (/ -64/9 y)>
#<alt (/ -64/9 y)>
#<alt (/ -64/9 y)>
#<alt (/ -64/9 y)>
#<alt (/ -64/9 y)>
#<alt (/ -64/9 y)>
#<alt (/ -64/9 y)>
#<alt (/ -64/9 y)>
#<alt (/ -64/9 y)>
#<alt (/ -64/9 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* -3/8 y)>
#<alt (* 9/64 y)>
#<alt (* 9/64 y)>
#<alt (* 9/64 y)>
#<alt (* 9/64 y)>
#<alt (* 9/64 y)>
#<alt (* 9/64 y)>
#<alt (* 9/64 y)>
#<alt (* 9/64 y)>
#<alt (* 9/64 y)>
#<alt (* 9/64 y)>
#<alt (* 9/64 y)>
#<alt (* 9/64 y)>
Calls

15 calls:

TimeVariablePointExpression
0.0ms
y
@0
(/ -64/9 y)
0.0ms
y
@inf
(* y 9/64)
0.0ms
y
@0
(* y 9/64)
0.0ms
y
@-inf
(/ -64/9 y)
0.0ms
y
@inf
(/ -64/9 y)

rewrite232.0ms (3.8%)

Memory
-4.3MiB live, 353.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
2 318×/-lowering-/.f32
2 318×/-lowering-/.f64
1 742×*-lowering-*.f32
1 742×*-lowering-*.f64
1 324×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01115
14515
216715
361415
4248215
0893815
Stop Event
iter limit
node limit
Counts
5 → 715
Calls
Call 1
Inputs
(/ 8/3 (/ -64/9 y))
(/ -64/9 y)
(/ y -8/3)
(/ (* y 9/64) -3/8)
(* y 9/64)
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 y #s(literal 8/3 binary64)))
(exp.f64 (log.f64 (/.f64 y #s(literal 8/3 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 y #s(literal 8/3 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 #s(literal 8/3 binary64) y) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 8/3 binary64) y) (/.f64 y #s(literal 8/3 binary64)))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 #s(literal 8/3 binary64) y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 #s(literal 8/3 binary64) y)) #s(literal -1/2 binary64)) (*.f64 (log.f64 (/.f64 #s(literal 8/3 binary64) y)) #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 y #s(literal 8/3 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (/.f64 y #s(literal 8/3 binary64)) (/.f64 #s(literal 8/3 binary64) y)) (/.f64 y #s(literal 8/3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -8/3 binary64) (*.f64 y y))) (/.f64 y #s(literal 8/3 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 4096/81 binary64) (*.f64 y y)))) (/.f64 y #s(literal 8/3 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y #s(literal -3/8 binary64))) (/.f64 y #s(literal 8/3 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -3/8 binary64) (/.f64 #s(literal -64/9 binary64) y))) (/.f64 y #s(literal 8/3 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 8/3 binary64) (*.f64 y y))) (/.f64 y #s(literal 8/3 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 4096/81 binary64) (*.f64 y y)))) (/.f64 y #s(literal 8/3 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 3/8 binary64) (/.f64 #s(literal -64/9 binary64) y))) (/.f64 y #s(literal 8/3 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (/.f64 (/.f64 y #s(literal 8/3 binary64)) (/.f64 #s(literal 8/3 binary64) y)) #s(literal 0 binary64))) (/.f64 y #s(literal 8/3 binary64)))
(neg.f64 (/.f64 y #s(literal 8/3 binary64)))
(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal -64/9 binary64) y))
(/.f64 y #s(literal 8/3 binary64))
(/.f64 y #s(literal -8/3 binary64))
(/.f64 #s(literal -8/3 binary64) (/.f64 #s(literal -64/9 binary64) y))
(/.f64 #s(literal 9/64 binary64) (/.f64 #s(literal -3/8 binary64) y))
(/.f64 (/.f64 y #s(literal -64/9 binary64)) #s(literal -3/8 binary64))
(/.f64 (/.f64 y #s(literal -64/9 binary64)) #s(literal 3/8 binary64))
(/.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8/3 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -8/3 binary64) (*.f64 y y)) (*.f64 y (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 4096/81 binary64) (*.f64 y y))) (/.f64 (*.f64 y (*.f64 y y)) #s(literal -262144/729 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y #s(literal -3/8 binary64)) (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -3/8 binary64) (/.f64 #s(literal -64/9 binary64) y)) (/.f64 (*.f64 y y) #s(literal 4096/81 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y #s(literal -64/9 binary64)) (/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 4096/81 binary64) (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 #s(literal -3/8 binary64) (*.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal -3/8 binary64) (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 #s(literal -64/9 binary64) y) #s(literal 1/2 binary64)) (/.f64 #s(literal -8/3 binary64) (pow.f64 (/.f64 #s(literal -64/9 binary64) y) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 3/8 binary64) (pow.f64 y #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 8/3 binary64) (*.f64 y y)) (*.f64 y (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 4096/81 binary64) (*.f64 y y))) (/.f64 (*.f64 y (*.f64 y y)) #s(literal -262144/729 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 3/8 binary64) (/.f64 #s(literal -64/9 binary64) y)) (/.f64 (*.f64 y y) #s(literal 4096/81 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 y #s(literal 8/3 binary64)) (/.f64 #s(literal 8/3 binary64) y)) #s(literal 0 binary64)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 512/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y #s(literal 8/3 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 y #s(literal 8/3 binary64)) (/.f64 #s(literal 8/3 binary64) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y y) #s(literal 4096/81 binary64)) (/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal -262144/729 binary64) (*.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 #s(literal 3/8 binary64) (*.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3/8 binary64) (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 3/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (*.f64 y y) #s(literal 3/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y y) #s(literal 4096/81 binary64)) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -262144/729 binary64)) #s(literal 8/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y #s(literal -64/9 binary64)) (*.f64 (/.f64 (*.f64 y y) #s(literal 4096/81 binary64)) #s(literal 8/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 #s(literal -64/9 binary64) y) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (pow.f64 (/.f64 #s(literal -64/9 binary64) y) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -3/8 binary64) (pow.f64 y #s(literal -1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 8/3 binary64) y))
(/.f64 #s(literal -9/64 binary64) (/.f64 #s(literal -3/8 binary64) y))
(/.f64 (/.f64 y #s(literal 8/3 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 y #s(literal 8/3 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 y #s(literal -3/8 binary64)) #s(literal -64/9 binary64))
(/.f64 (/.f64 y #s(literal -3/8 binary64)) #s(literal 64/9 binary64))
(/.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal -8/3 binary64) (*.f64 y y)))
(/.f64 (*.f64 y (*.f64 y y)) (*.f64 #s(literal 8/3 binary64) (*.f64 y y)))
(/.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 #s(literal -8/3 binary64) (*.f64 y y))))
(/.f64 (*.f64 y (*.f64 y y)) (neg.f64 (*.f64 #s(literal 8/3 binary64) (*.f64 y y))))
(/.f64 (*.f64 y y) (/.f64 y #s(literal -3/8 binary64)))
(/.f64 (/.f64 (*.f64 y y) #s(literal 4096/81 binary64)) (/.f64 #s(literal -3/8 binary64) (/.f64 #s(literal -64/9 binary64) y)))
(/.f64 (/.f64 (*.f64 y y) #s(literal 4096/81 binary64)) (/.f64 #s(literal 3/8 binary64) (/.f64 #s(literal -64/9 binary64) y)))
(/.f64 (/.f64 (*.f64 y y) #s(literal 4096/81 binary64)) (neg.f64 (/.f64 #s(literal -3/8 binary64) (/.f64 #s(literal -64/9 binary64) y))))
(/.f64 (/.f64 (*.f64 y y) #s(literal 4096/81 binary64)) (neg.f64 (/.f64 #s(literal 3/8 binary64) (/.f64 #s(literal -64/9 binary64) y))))
(/.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -262144/729 binary64)) (/.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 4096/81 binary64) (*.f64 y y))))
(/.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -262144/729 binary64)) (/.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 4096/81 binary64) (*.f64 y y))))
(/.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -262144/729 binary64)) (neg.f64 (/.f64 #s(literal -3/8 binary64) (/.f64 #s(literal 4096/81 binary64) (*.f64 y y)))))
(/.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -262144/729 binary64)) (neg.f64 (/.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 4096/81 binary64) (*.f64 y y)))))
(/.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal 512/27 binary64)) (+.f64 (/.f64 (/.f64 y #s(literal 8/3 binary64)) (/.f64 #s(literal 8/3 binary64) y)) #s(literal 0 binary64)))
(/.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal 512/27 binary64)) (neg.f64 (+.f64 (/.f64 (/.f64 y #s(literal 8/3 binary64)) (/.f64 #s(literal 8/3 binary64) y)) #s(literal 0 binary64))))
(/.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal 512/27 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (/.f64 (/.f64 y #s(literal 8/3 binary64)) (/.f64 #s(literal 8/3 binary64) y)) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 y #s(literal 8/3 binary64)) (/.f64 #s(literal 8/3 binary64) y))) (/.f64 y #s(literal 8/3 binary64)))
(/.f64 (/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 4096/81 binary64) (*.f64 y y))) (/.f64 y #s(literal -64/9 binary64)))
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 y (*.f64 y y))) (*.f64 y y))
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 y y)) y)
(/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 y (*.f64 y y))) (*.f64 y y))
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 3/8 binary64)) (*.f64 y y))
(/.f64 (*.f64 (*.f64 y y) #s(literal 3/8 binary64)) y)
(/.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -262144/729 binary64)) #s(literal 8/3 binary64)) (/.f64 (*.f64 y y) #s(literal 4096/81 binary64)))
(/.f64 (*.f64 (/.f64 (*.f64 y y) #s(literal 4096/81 binary64)) #s(literal 8/3 binary64)) (/.f64 y #s(literal -64/9 binary64)))
(/.f64 (/.f64 #s(literal -8/3 binary64) (pow.f64 (/.f64 #s(literal -64/9 binary64) y) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal -64/9 binary64) y) #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal 8/3 binary64) (pow.f64 (/.f64 #s(literal -64/9 binary64) y) #s(literal 1/2 binary64))) (pow.f64 (/.f64 #s(literal -64/9 binary64) y) #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(literal -3/8 binary64) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal -262144/729 binary64) (*.f64 y (*.f64 y y)))) (/.f64 (*.f64 y y) #s(literal 4096/81 binary64)))
(/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 y y)) y)
(/.f64 (neg.f64 (/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 4096/81 binary64) (*.f64 y y)))) (/.f64 y #s(literal -64/9 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 y (*.f64 y y)))) (*.f64 y y))
(/.f64 (neg.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 y y))) y)
(/.f64 (neg.f64 (/.f64 #s(literal -8/3 binary64) (pow.f64 (/.f64 #s(literal -64/9 binary64) y) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -64/9 binary64) y) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 y #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 y #s(literal 8/3 binary64)) (/.f64 #s(literal 8/3 binary64) y)))) (/.f64 y #s(literal 8/3 binary64)))
(/.f64 (neg.f64 (/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal -262144/729 binary64) (*.f64 y (*.f64 y y))))) (/.f64 (*.f64 y y) #s(literal 4096/81 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 y (*.f64 y y)))) (*.f64 y y))
(/.f64 (neg.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 3/8 binary64))) (*.f64 y y))
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(*.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))
(+.f64 (/.f64 y #s(literal -64/9 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 y #s(literal -64/9 binary64)))
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(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -64/9 binary64) (*.f64 y y))) (/.f64 y #s(literal -64/9 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -64/9 binary64) y)) (/.f64 y #s(literal -64/9 binary64)))
(fma.f64 y #s(literal 9/64 binary64) #s(literal 0 binary64))
(fma.f64 y #s(literal -9/64 binary64) #s(literal 0 binary64))
(fma.f64 y (exp.f64 (log.f64 #s(literal -9/64 binary64))) #s(literal 0 binary64))
(fma.f64 y (exp.f64 (log.f64 #s(literal 9/64 binary64))) #s(literal 0 binary64))
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(fma.f64 (/.f64 y #s(literal -64/9 binary64)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 y #s(literal -64/9 binary64)) (exp.f64 (log.f64 #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 y #s(literal -64/9 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 y #s(literal -64/9 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -9/64 binary64) y #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 4096/81 binary64) (*.f64 y y)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal -262144/729 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 64/9 binary64) (*.f64 y y))) #s(literal 0 binary64))
(fma.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -64/9 binary64) (*.f64 y y))) #s(literal 0 binary64))
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 64/9 binary64) y)) #s(literal 0 binary64))
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -64/9 binary64) y)) #s(literal 0 binary64))
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(fma.f64 (pow.f64 (/.f64 #s(literal -64/9 binary64) y) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -64/9 binary64) y) #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -262144/729 binary64)) (/.f64 #s(literal 4096/81 binary64) (*.f64 y y)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -64/9 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal -64/9 binary64) y) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 9/64 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 9/64 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal -9/64 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 0 binary64))
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(fma.f64 (*.f64 (*.f64 y y) #s(literal 9/64 binary64)) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -9/64 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 y y) #s(literal -9/64 binary64)) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -9/64 binary64) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal 1/2 binary64)) #s(literal 0 binary64))
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(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal -9/64 binary64) (*.f64 y y))))
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(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 9/64 binary64) (pow.f64 y #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 #s(literal -64/9 binary64) y) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -64/9 binary64) y) #s(literal -1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -64/9 binary64) y))
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(/.f64 (*.f64 y y) (neg.f64 (*.f64 #s(literal -64/9 binary64) y)))
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(/.f64 (*.f64 #s(literal 9/64 binary64) (*.f64 y y)) y)
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(/.f64 (*.f64 (*.f64 y y) #s(literal 9/64 binary64)) y)
(/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -9/64 binary64)) (*.f64 y y))
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(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 y y) #s(literal 4096/81 binary64)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal -262144/729 binary64)))) (/.f64 (/.f64 (*.f64 y y) #s(literal 4096/81 binary64)) (/.f64 #s(literal 4096/81 binary64) (*.f64 y y))))
(/.f64 (neg.f64 (*.f64 #s(literal 9/64 binary64) (*.f64 y (*.f64 y y)))) (*.f64 y y))
(/.f64 (neg.f64 (*.f64 #s(literal 9/64 binary64) (*.f64 y y))) y)
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(/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 9/64 binary64))) y)
(/.f64 (neg.f64 (/.f64 #s(literal -9/64 binary64) (pow.f64 y #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))))
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(/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal -9/64 binary64))) y)
(/.f64 (neg.f64 (/.f64 #s(literal 9/64 binary64) (pow.f64 y #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -64/9 binary64) y) #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -64/9 binary64) y) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -262144/729 binary64)) #s(literal 0 binary64)) (/.f64 (*.f64 y y) #s(literal 4096/81 binary64)))
(pow.f64 (/.f64 #s(literal -64/9 binary64) y) #s(literal -1 binary64))
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(pow.f64 (/.f64 #s(literal 4096/81 binary64) (*.f64 y y)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 (*.f64 y y) #s(literal 4096/81 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal -64/9 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal -64/9 binary64) y) #s(literal 1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (/.f64 y #s(literal -64/9 binary64))))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -64/9 binary64) y)))
(*.f64 y #s(literal 9/64 binary64))
(*.f64 y #s(literal -9/64 binary64))
(*.f64 y (exp.f64 (log.f64 #s(literal -9/64 binary64))))
(*.f64 y (exp.f64 (log.f64 #s(literal 9/64 binary64))))
(*.f64 (/.f64 #s(literal -64/9 binary64) y) (/.f64 (*.f64 y y) #s(literal 4096/81 binary64)))
(*.f64 #s(literal 9/64 binary64) y)
(*.f64 (/.f64 y #s(literal -64/9 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 y #s(literal -64/9 binary64)) #s(literal -1 binary64))
(*.f64 (/.f64 y #s(literal -64/9 binary64)) (exp.f64 (log.f64 #s(literal -1 binary64))))
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(*.f64 #s(literal -1 binary64) (/.f64 y #s(literal -64/9 binary64)))
(*.f64 #s(literal -9/64 binary64) y)
(*.f64 (/.f64 #s(literal 4096/81 binary64) (*.f64 y y)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal -262144/729 binary64)))
(*.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 64/9 binary64) (*.f64 y y))))
(*.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -64/9 binary64) (*.f64 y y))))
(*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 64/9 binary64) y)))
(*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -64/9 binary64) y)))
(*.f64 (/.f64 (*.f64 y y) #s(literal 4096/81 binary64)) (/.f64 #s(literal -64/9 binary64) y))
(*.f64 (pow.f64 (/.f64 #s(literal -64/9 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -64/9 binary64) y) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -64/9 binary64) y) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -64/9 binary64) y) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -262144/729 binary64)) (/.f64 #s(literal 4096/81 binary64) (*.f64 y y)))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -64/9 binary64) y) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal -64/9 binary64) y) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 9/64 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (*.f64 #s(literal 9/64 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 #s(literal -9/64 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (*.f64 #s(literal -9/64 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 9/64 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (*.f64 (*.f64 y y) #s(literal 9/64 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -9/64 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (*.f64 (*.f64 y y) #s(literal -9/64 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal -9/64 binary64) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal 9/64 binary64) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal 1/2 binary64)))
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (/.f64 y #s(literal -64/9 binary64)))
(*.f64 (exp.f64 (log.f64 #s(literal -9/64 binary64))) y)
(*.f64 (exp.f64 (log.f64 #s(literal 9/64 binary64))) y)

simplify12.0ms (0.2%)

Memory
-8.3MiB live, 31.0MiB allocated
Algorithm
egg-herbie
Rules
*-lowering-*.f32
*-lowering-*.f64
*-commutative
/-lowering-/.f32
/-lowering-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07180
19180
09180
Stop Event
iter limit
saturated
Counts
60 → 60
Calls
Call 1
Inputs
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(/ -64/9 y)
(/ -64/9 y)
(/ -64/9 y)
(/ -64/9 y)
(/ -64/9 y)
(/ -64/9 y)
(/ -64/9 y)
(/ -64/9 y)
(/ -64/9 y)
(/ -64/9 y)
(/ -64/9 y)
(/ -64/9 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* 9/64 y)
(* 9/64 y)
(* 9/64 y)
(* 9/64 y)
(* 9/64 y)
(* 9/64 y)
(* 9/64 y)
(* 9/64 y)
(* 9/64 y)
(* 9/64 y)
(* 9/64 y)
(* 9/64 y)
Outputs
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(/ -64/9 y)
(/.f64 #s(literal -64/9 binary64) y)
(/ -64/9 y)
(/.f64 #s(literal -64/9 binary64) y)
(/ -64/9 y)
(/.f64 #s(literal -64/9 binary64) y)
(/ -64/9 y)
(/.f64 #s(literal -64/9 binary64) y)
(/ -64/9 y)
(/.f64 #s(literal -64/9 binary64) y)
(/ -64/9 y)
(/.f64 #s(literal -64/9 binary64) y)
(/ -64/9 y)
(/.f64 #s(literal -64/9 binary64) y)
(/ -64/9 y)
(/.f64 #s(literal -64/9 binary64) y)
(/ -64/9 y)
(/.f64 #s(literal -64/9 binary64) y)
(/ -64/9 y)
(/.f64 #s(literal -64/9 binary64) y)
(/ -64/9 y)
(/.f64 #s(literal -64/9 binary64) y)
(/ -64/9 y)
(/.f64 #s(literal -64/9 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* 9/64 y)
(*.f64 y #s(literal 9/64 binary64))
(* 9/64 y)
(*.f64 y #s(literal 9/64 binary64))
(* 9/64 y)
(*.f64 y #s(literal 9/64 binary64))
(* 9/64 y)
(*.f64 y #s(literal 9/64 binary64))
(* 9/64 y)
(*.f64 y #s(literal 9/64 binary64))
(* 9/64 y)
(*.f64 y #s(literal 9/64 binary64))
(* 9/64 y)
(*.f64 y #s(literal 9/64 binary64))
(* 9/64 y)
(*.f64 y #s(literal 9/64 binary64))
(* 9/64 y)
(*.f64 y #s(literal 9/64 binary64))
(* 9/64 y)
(*.f64 y #s(literal 9/64 binary64))
(* 9/64 y)
(*.f64 y #s(literal 9/64 binary64))
(* 9/64 y)
(*.f64 y #s(literal 9/64 binary64))

eval85.0ms (1.4%)

Memory
5.9MiB live, 230.5MiB allocated
Compiler

Compiled 7 790 to 901 computations (88.4% saved)

prune61.0ms (1%)

Memory
18.2MiB live, 174.7MiB allocated
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New7750775
Fresh000
Picked033
Done044
Total7757782
Accuracy
100.0%
Counts
782 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 y #s(literal -3/8 binary64) x)
51.9%
(/.f64 (*.f64 y #s(literal 9/64 binary64)) #s(literal -3/8 binary64))
51.9%
(/.f64 y #s(literal -8/3 binary64))
51.9%
(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal -64/9 binary64) y))
99.9%
(-.f64 x (*.f64 y #s(literal 3/8 binary64)))
52.0%
(*.f64 #s(literal -3/8 binary64) y)
49.7%
x
Compiler

Compiled 111 to 68 computations (38.7% saved)

regimes20.0ms (0.3%)

Memory
5.3MiB live, 48.0MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
x
(*.f64 #s(literal -3/8 binary64) y)
(/.f64 y #s(literal -8/3 binary64))
(-.f64 x (*.f64 y #s(literal 3/8 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8/3 binary64) y))
(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal -64/9 binary64) y))
(/.f64 (*.f64 y #s(literal 9/64 binary64)) #s(literal -3/8 binary64))
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal -3/8 binary64)))))
(-.f64 x (/.f64 (*.f64 (*.f64 y y) #s(literal -9/64 binary64)) (*.f64 y #s(literal -3/8 binary64))))
(/.f64 (*.f64 (*.f64 y y) #s(literal -9/64 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 3/8 binary64))))
(fma.f64 y #s(literal -3/8 binary64) x)
Outputs
(fma.f64 y #s(literal -3/8 binary64) x)
Calls

4 calls:

7.0ms
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
4.0ms
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
4.0ms
x
4.0ms
y
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
100.0%1(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes17.0ms (0.3%)

Memory
8.4MiB live, 48.1MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
x
(*.f64 #s(literal -3/8 binary64) y)
(/.f64 y #s(literal -8/3 binary64))
(-.f64 x (*.f64 y #s(literal 3/8 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8/3 binary64) y))
(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal -64/9 binary64) y))
(/.f64 (*.f64 y #s(literal 9/64 binary64)) #s(literal -3/8 binary64))
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y #s(literal -3/8 binary64)))))
(-.f64 x (/.f64 (*.f64 (*.f64 y y) #s(literal -9/64 binary64)) (*.f64 y #s(literal -3/8 binary64))))
(/.f64 (*.f64 (*.f64 y y) #s(literal -9/64 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 3/8 binary64))))
Outputs
(-.f64 x (*.f64 y #s(literal 3/8 binary64)))
Calls

4 calls:

4.0ms
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
4.0ms
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
4.0ms
y
4.0ms
x
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
99.9%1(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
Compiler

Compiled 22 to 17 computations (22.7% saved)

regimes5.0ms (0.1%)

Memory
-27.8MiB live, 11.9MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
x
(*.f64 #s(literal -3/8 binary64) y)
(/.f64 y #s(literal -8/3 binary64))
Outputs
(*.f64 #s(literal -3/8 binary64) y)
x
(*.f64 #s(literal -3/8 binary64) y)
Calls

2 calls:

2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
76.6%5x
81.4%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Memory
8.7MiB live, 8.7MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
x
Outputs
x
Calls

2 calls:

1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
49.7%1x
49.7%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch20.0ms (0.3%)

Memory
14.9MiB live, 54.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
8.0ms
5.8433687044342264e-64
4.239640194950402e-62
10.0ms
-5.51415816153473e-98
-1.5841136524639783e-101
Samples
10.0ms234×0valid
0.0ms1valid
Compiler

Compiled 162 to 132 computations (18.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (41.8% of total)
ival-mult: 1.0ms (20.9% of total)
ival-sub: 1.0ms (20.9% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

simplify20.0ms (0.3%)

Memory
-52.1MiB live, 23.0MiB allocated
Algorithm
egg-herbie
Rules
10×*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01423
12423
23623
34223
44623
54723
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 y #s(literal -3/8 binary64) x)
(-.f64 x (*.f64 y #s(literal 3/8 binary64)))
(if (<=.f64 y #s(literal -4232637384378313/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568 binary64)) (*.f64 #s(literal -3/8 binary64) y) (if (<=.f64 y #s(literal 303954234247955/7237005577332262213973186563042994240829374041602535252466099000494570602496 binary64)) x (*.f64 #s(literal -3/8 binary64) y)))
x
Outputs
(fma.f64 y #s(literal -3/8 binary64) x)
(-.f64 x (*.f64 y #s(literal 3/8 binary64)))
(if (<=.f64 y #s(literal -4232637384378313/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568 binary64)) (*.f64 #s(literal -3/8 binary64) y) (if (<=.f64 y #s(literal 303954234247955/7237005577332262213973186563042994240829374041602535252466099000494570602496 binary64)) x (*.f64 #s(literal -3/8 binary64) y)))
(if (<=.f64 y #s(literal -4232637384378313/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568 binary64)) (*.f64 y #s(literal -3/8 binary64)) (if (<=.f64 y #s(literal 303954234247955/7237005577332262213973186563042994240829374041602535252466099000494570602496 binary64)) x (*.f64 y #s(literal -3/8 binary64))))
x

soundness614.0ms (10.1%)

Memory
-3.4MiB live, 313.0MiB allocated
Rules
11 564×accelerator-lowering-fma.f32
11 564×accelerator-lowering-fma.f64
4 300×*-lowering-*.f32
4 300×*-lowering-*.f64
3 918×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025138
168138
2170138
3455138
41250138
52461138
63264138
73600138
83896138
94079138
105224138
116020138
126788138
137056138
147836138
08372120
089
1279
21849
316929
086658
Stop Event
done
iter limit
node limit
iter limit
node limit
Compiler

Compiled 51 to 31 computations (39.2% saved)

preprocess32.0ms (0.5%)

Memory
8.9MiB live, 86.1MiB allocated
Compiler

Compiled 72 to 42 computations (41.7% saved)

end0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

Profiling

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