Graphics.Rendering.Chart.Axis.Types:hBufferRect from Chart-1.5.3

Time bar (total: 8.1s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 10 to 7 computations (30% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-sub: 0.0ms (0% of total)
ival-div: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample803.0ms (9.9%)

Results
522.0ms7584×0valid
35.0ms214×2valid
35.0ms306×1valid
33.0ms152×3valid
Precisions
Click to see histograms. Total time spent on operations: 269.0ms
ival-div: 98.0ms (36.4% of total)
ival-add: 71.0ms (26.4% of total)
ival-sub: 69.0ms (25.7% of total)
backward-pass: 20.0ms (7.4% of total)
const: 12.0ms (4.5% of total)
Bogosity

preprocess141.0ms (1.7%)

Algorithm
2×egg-herbie
Rules
1382×fnmadd-define
1274×fmsub-define
1268×fnmsub-define
1178×sum5-define
1078×fmm-def
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
01948
15142
215842
355142
4155636
5370736
6488436
7498836
067
1127
2237
3467
4927
52277
66547
712006
820876
926566
1028066
028066
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(+ x (/ (- x y) 2))
Outputs
(+ x (/ (- x y) 2))
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
Call 2
Inputs
(+ x (/ (- x y) 2))
(+ (neg x) (/ (- (neg x) y) 2))
(+ x (/ (- x (neg y)) 2))
(neg (+ (neg x) (/ (- (neg x) y) 2)))
(neg (+ x (/ (- x (neg y)) 2)))
(+ y (/ (- y x) 2))
Outputs
(+ x (/ (- x y) 2))
(fnmsub x -3/2 (* y 1/2))
(+ (neg x) (/ (- (neg x) y) 2))
(fnmsub x 3/2 (* y 1/2))
(+ x (/ (- x (neg y)) 2))
(fma (+ x y) 1/2 x)
(neg (+ (neg x) (/ (- (neg x) y) 2)))
(fma (+ x y) 1/2 x)
(neg (+ x (/ (- x (neg y)) 2)))
(fnmsub x 3/2 (* y 1/2))
(+ y (/ (- y x) 2))
(fnmsub x 1/2 (* y -3/2))

explain104.0ms (1.3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(-.f64 x y)
00-0-(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
00-0-y
00-0-#s(literal 2 binary64)
00-0-(/.f64 (-.f64 x y) #s(literal 2 binary64))
Results
41.0ms474×0valid
3.0ms20×1valid
3.0ms8×3valid
3.0ms10×2valid
Compiler

Compiled 51 to 20 computations (60.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-div: 7.0ms (41.6% of total)
ival-sub: 4.0ms (23.8% of total)
ival-add: 3.0ms (17.8% of total)
const: 1.0ms (5.9% of total)
backward-pass: 1.0ms (5.9% of total)

eval0.0ms (0%)

Compiler

Compiled 9 to 7 computations (22.2% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
▶99.8%
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify65.0ms (0.8%)

Algorithm
1×egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x #s(literal 3/2 binary64))
✓cost-diff0
(/.f64 y #s(literal -2 binary64))
✓cost-diff0
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
✓cost-diff0
(-.f64 x y)
✓cost-diff0
(/.f64 (-.f64 x y) #s(literal 2 binary64))
✓cost-diff0
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
Rules
820×sum5-define
688×fnmadd-define
660×sum4-define
602×fmsub-define
598×fnmsub-define
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
01135
11935
23235
35835
411035
526735
672835
7137533
8239133
9289233
10300633
0300633
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ x (/ (- x y) 2))
x
(/ (- x y) 2)
(- x y)
y
2
(+ (/ y -2) (* x 3/2))
(/ y -2)
y
-2
(* x 3/2)
x
3/2
Outputs
(+ x (/ (- x y) 2))
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
x
(/ (- x y) 2)
(/.f64 (-.f64 x y) #s(literal 2 binary64))
(- x y)
(-.f64 x y)
y
2
#s(literal 2 binary64)
(+ (/ y -2) (* x 3/2))
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
(/ y -2)
(/.f64 y #s(literal -2 binary64))
y
-2
#s(literal -2 binary64)
(* x 3/2)
(*.f64 x #s(literal 3/2 binary64))
x
3/2
#s(literal 3/2 binary64)

localize60.0ms (0.7%)

Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 y #s(literal -2 binary64))
✓accuracy100.0%
(*.f64 x #s(literal 3/2 binary64))
✓accuracy99.9%
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
✓accuracy100.0%
(/.f64 (-.f64 x y) #s(literal 2 binary64))
✓accuracy100.0%
(-.f64 x y)
✓accuracy99.8%
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
Results
35.0ms237×0valid
3.0ms10×1valid
2.0ms4×3valid
2.0ms5×2valid
Compiler

Compiled 38 to 12 computations (68.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-div: 4.0ms (30.8% of total)
ival-add: 3.0ms (23.1% of total)
ival-sub: 2.0ms (15.4% of total)
ival-mult: 2.0ms (15.4% of total)
const: 1.0ms (7.7% of total)
backward-pass: 1.0ms (7.7% of total)

series7.0ms (0.1%)

Counts
6 → 120
Calls
Call 1
Inputs
#<alt (+ x (/ (- x y) 2))>
#<alt (/ (- x y) 2)>
#<alt (- x y)>
#<alt (+ (/ y -2) (* x 3/2))>
#<alt (/ y -2)>
#<alt (* x 3/2)>
Outputs
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (* 3/2 x)>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* 3/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (+ x (* 1/2 x))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (* -1/2 y)>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))>
#<alt (* 1/2 x)>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (* -1/2 y)>
#<alt (* y (- (* 1/2 (/ x y)) 1/2))>
#<alt (* y (- (* 1/2 (/ x y)) 1/2))>
#<alt (* y (- (* 1/2 (/ x y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* 3/2 x)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (* -1/2 y)>
#<alt (* y (- (* 3/2 (/ x y)) 1/2))>
#<alt (* y (- (* 3/2 (/ x y)) 1/2))>
#<alt (* y (- (* 3/2 (/ x y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (* 3/2 x)>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* 3/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
Calls

30 calls:

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

rewrite339.0ms (4.2%)

Algorithm
1×batch-egg-rewrite
Rules
4726×*-lowering-*.f32
4726×*-lowering-*.f64
3668×/-lowering-/.f32
3668×/-lowering-/.f64
1642×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01128
17026
266726
0862226
Stop Event
1×iter limit
1×node limit
Counts
6 → 337
Calls
Call 1
Inputs
(+ x (/ (- x y) 2))
(/ (- x y) 2)
(- x y)
(+ (/ y -2) (* x 3/2))
(/ y -2)
(* x 3/2)
Outputs
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
(+.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x)
(+.f64 (/.f64 x #s(literal 2 binary64)) (neg.f64 (-.f64 (/.f64 y #s(literal 2 binary64)) x)))
(+.f64 (/.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 y #s(literal -2 binary64)) x))
(+.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 (-.f64 x y) #s(literal -2 binary64)))) (neg.f64 (/.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (+.f64 x (/.f64 (-.f64 x y) #s(literal -2 binary64))))))
(+.f64 (+.f64 x (/.f64 x #s(literal 2 binary64))) (/.f64 y #s(literal -2 binary64)))
(-.f64 x (/.f64 (-.f64 x y) #s(literal -2 binary64)))
(-.f64 (/.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 y #s(literal 2 binary64)) x))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 (-.f64 x y) #s(literal -2 binary64)))) (/.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (+.f64 x (/.f64 (-.f64 x y) #s(literal -2 binary64)))))
(-.f64 (+.f64 x (/.f64 x #s(literal 2 binary64))) (/.f64 y #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x)))
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 (-.f64 (/.f64 y #s(literal 2 binary64)) x)))
(fma.f64 (-.f64 x y) #s(literal 1/2 binary64) x)
(fma.f64 (-.f64 y x) #s(literal -1/2 binary64) x)
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) #s(literal 2 binary64)) x)
(fma.f64 #s(literal 1/2 binary64) (-.f64 x y) x)
(neg.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) #s(literal 8 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x) (/.f64 #s(literal 2 binary64) (-.f64 x y)))))))
(neg.f64 (/.f64 (-.f64 (*.f64 x x) (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y)))) (+.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (-.f64 x y) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) #s(literal 8 binary64)))) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x) (/.f64 #s(literal 2 binary64) (-.f64 x y))))))
(neg.f64 (/.f64 (+.f64 (neg.f64 (*.f64 x x)) (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y)))) (+.f64 x (/.f64 (-.f64 x y) #s(literal -2 binary64)))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) #s(literal 8 binary64))) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x) (/.f64 #s(literal 2 binary64) (-.f64 x y)))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) #s(literal 8 binary64))) (+.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x (+.f64 x (/.f64 (-.f64 x y) #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x (+.f64 x (/.f64 (-.f64 x y) #s(literal -2 binary64))))) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x) (-.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 x x) (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y)))) (+.f64 x (/.f64 (-.f64 x y) #s(literal -2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) #s(literal 8 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x) (/.f64 #s(literal 2 binary64) (-.f64 x y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) #s(literal 8 binary64)))) (neg.f64 (+.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x (+.f64 x (/.f64 (-.f64 x y) #s(literal -2 binary64)))))))
(/.f64 (+.f64 (neg.f64 (*.f64 x x)) (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y)))) (+.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (-.f64 x y) #s(literal 2 binary64))))
(/.f64 (-.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x x)) (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x (/.f64 (-.f64 x y) #s(literal -2 binary64)))) (*.f64 (+.f64 x (/.f64 (-.f64 x y) #s(literal -2 binary64))) (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))))) (*.f64 (+.f64 x (/.f64 (-.f64 x y) #s(literal -2 binary64))) (+.f64 x (/.f64 (-.f64 x y) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) #s(literal 8 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x) (/.f64 #s(literal 2 binary64) (-.f64 x y)))))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (*.f64 x x)) (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))))) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (-.f64 x y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x)))
(/.f64 (-.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (pow.f64 (-.f64 (/.f64 y #s(literal 2 binary64)) x) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (+.f64 (*.f64 (-.f64 (/.f64 y #s(literal 2 binary64)) x) (-.f64 (/.f64 y #s(literal 2 binary64)) x)) (*.f64 (/.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 y #s(literal 2 binary64)) x)))))
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(*.f64 (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (*.f64 (*.f64 #s(literal 27/8 binary64) (*.f64 x x)) x)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64)))))))
(*.f64 (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (*.f64 (*.f64 #s(literal 27/8 binary64) (*.f64 x x)) x)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (*.f64 y (-.f64 (*.f64 #s(literal 1/4 binary64) y) (*.f64 #s(literal -3/4 binary64) x))))))
(*.f64 (+.f64 (/.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64))))) (*.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64))))))))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))))
(*.f64 (+.f64 (/.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal -9/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (*.f64 (*.f64 #s(literal 27/8 binary64) (*.f64 x x)) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64))))))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal -9/4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64)))))) (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (*.f64 (*.f64 #s(literal 27/8 binary64) (*.f64 x x)) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal -3/2 binary64)))) (+.f64 (/.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal -9/4 binary64))))
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (/.f64 (*.f64 y y) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))))
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal -9/4 binary64))) (+.f64 (/.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal -9/4 binary64)))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))))
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (*.f64 (*.f64 #s(literal 27/8 binary64) (*.f64 x x)) x)) (+.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 64 binary64)) (*.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64)))) (*.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64)))) (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64)))))))) (+.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/16 binary64)) (*.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64)))) (-.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64)))) (/.f64 (*.f64 y y) #s(literal 4 binary64))))))
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (*.f64 (*.f64 #s(literal 27/8 binary64) (*.f64 x x)) x)) (-.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal 1/16 binary64)) (*.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64)))) (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64))))))) (-.f64 (/.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 x (-.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64))))))
(*.f64 (/.f64 (+.f64 (/.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal -9/4 binary64))) (-.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal -8 binary64)) (*.f64 (*.f64 #s(literal 27/8 binary64) (*.f64 x x)) x))) (+.f64 (/.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 x (+.f64 (*.f64 x #s(literal 9/4 binary64)) (*.f64 y #s(literal -3/4 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -2 binary64) y)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 y #s(literal 2 binary64)))
(neg.f64 (/.f64 y #s(literal 2 binary64)))
(neg.f64 (*.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 y #s(literal -2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) y))
(/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) y))
(pow.f64 (/.f64 #s(literal -2 binary64) y) #s(literal -1 binary64))
(*.f64 y #s(literal -1/2 binary64))
(*.f64 (/.f64 y #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y #s(literal -2 binary64)))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) y))
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 y #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -2 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -2 binary64) y) #s(literal -1/2 binary64)))
(*.f64 x #s(literal 3/2 binary64))
(*.f64 #s(literal 3/2 binary64) x)
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))

simplify138.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
2004×*-lowering-*.f32
2004×*-lowering-*.f64
1520×fma-define
1144×fnmadd-define
936×times-frac
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
066513
1210513
2629513
31850495
45615495
08183495
Stop Event
1×iter limit
1×node limit
Counts
120 → 120
Calls
Call 1
Inputs
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* 3/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(+ x (* 1/2 x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(* -1/2 y)
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1/2 y)
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(* 1/2 x)
(* x (+ 1/2 (* -1/2 (/ y x))))
(* x (+ 1/2 (* -1/2 (/ y x))))
(* x (+ 1/2 (* -1/2 (/ y x))))
(* 1/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* 1/2 x)
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(* -1/2 y)
(* y (- (* 1/2 (/ x y)) 1/2))
(* y (- (* 1/2 (/ x y)) 1/2))
(* y (- (* 1/2 (/ x y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 y)
(- x y)
(- x y)
(- x y)
x
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (* -1 (/ y x))))
x
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (/ y x) 1)))
x
(+ x (* -1 y))
(+ x (* -1 y))
(+ x (* -1 y))
(* -1 y)
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* y (- (/ x y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* 3/2 x)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* -1/2 y)
(* y (- (* 3/2 (/ x y)) 1/2))
(* y (- (* 3/2 (/ x y)) 1/2))
(* y (- (* 3/2 (/ x y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* 3/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
Outputs
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* x (+ 3/2 (* -1/2 (/ y x))))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* x (+ 3/2 (* -1/2 (/ y x))))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(+ x (* 1/2 x))
(*.f64 #s(literal 3/2 binary64) x)
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(+ (* -1/2 y) (* 1/2 x))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(+ (* -1/2 y) (* 1/2 x))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(+ (* -1/2 y) (* 1/2 x))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x (+ 1/2 (* -1/2 (/ y x))))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(* x (+ 1/2 (* -1/2 (/ y x))))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(* x (+ 1/2 (* -1/2 (/ y x))))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(+ (* -1/2 y) (* 1/2 x))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(+ (* -1/2 y) (* 1/2 x))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(+ (* -1/2 y) (* 1/2 x))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* y (- (* 1/2 (/ x y)) 1/2))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(* y (- (* 1/2 (/ x y)) 1/2))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(* y (- (* 1/2 (/ x y)) 1/2))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* y (- (* 3/2 (/ x y)) 1/2))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* y (- (* 3/2 (/ x y)) 1/2))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* y (- (* 3/2 (/ x y)) 1/2))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* x (+ 3/2 (* -1/2 (/ y x))))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* x (+ 3/2 (* -1/2 (/ y x))))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)

eval96.0ms (1.2%)

Compiler

Compiled 9264 to 1161 computations (87.5% saved)

prune67.0ms (0.8%)

Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New44710457
Fresh000
Picked022
Done000
Total44712459
Accuracy
100.0%
Counts
459 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(fma.f64 x #s(literal 3/2 binary64) (/.f64 y #s(literal -2 binary64)))
58.6%
(/.f64 (-.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x x)) (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x))
▶59.9%
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (/.f64 (*.f64 y y) #s(literal 4 binary64))) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))))
38.0%
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) #s(literal 8 binary64))) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x) (/.f64 #s(literal 2 binary64) (-.f64 x y)))))
99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))))
✓99.9%
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
60.4%
(+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 y y)))) (+.f64 x y)))
✓99.8%
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
▶87.7%
(+.f64 x (/.f64 (+.f64 (*.f64 x (/.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) y)))
▶59.3%
(+.f64 x (*.f64 #s(literal -1/2 binary64) y))
51.1%
(*.f64 #s(literal 3/2 binary64) x)
▶50.8%
(*.f64 #s(literal -1/2 binary64) y)
Compiler

Compiled 328 to 205 computations (37.5% saved)

simplify195.0ms (2.4%)

Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) #s(literal 9/4 binary64))
✓cost-diff0
(-.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (/.f64 (*.f64 y y) #s(literal 4 binary64)))
✓cost-diff0
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (/.f64 (*.f64 y y) #s(literal 4 binary64))) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))))
✓cost-diff0
(*.f64 x (/.f64 #s(literal -2 binary64) y))
✓cost-diff0
(+.f64 (*.f64 x (/.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64))
✓cost-diff384
(/.f64 (+.f64 (*.f64 x (/.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) y))
✓cost-diff384
(+.f64 x (/.f64 (+.f64 (*.f64 x (/.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) y)))
✓cost-diff0
(*.f64 #s(literal -1/2 binary64) y)
✓cost-diff0
(+.f64 x (*.f64 #s(literal -1/2 binary64) y))
✓cost-diff0
(*.f64 #s(literal -1/2 binary64) y)
✓cost-diff0
(/.f64 y #s(literal -2 binary64))
✓cost-diff6272
(fma.f64 x #s(literal 3/2 binary64) (/.f64 y #s(literal -2 binary64)))
Rules
2342×*-lowering-*.f32
2342×*-lowering-*.f64
1186×fma-lowering-fma.f32
1186×fma-lowering-fma.f64
1176×fmsub-define
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
028120
157119
2102119
3171119
4335119
5712119
61539115
73417114
08018114
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* x 3/2) (/ y -2))
x
3/2
(/ y -2)
y
-2
(* -1/2 y)
-1/2
y
(+ x (* -1/2 y))
x
(* -1/2 y)
-1/2
y
(+ x (/ (+ (* x (/ -2 y)) 2) (/ -4 y)))
x
(/ (+ (* x (/ -2 y)) 2) (/ -4 y))
(+ (* x (/ -2 y)) 2)
(* x (/ -2 y))
(/ -2 y)
-2
y
2
(/ -4 y)
-4
(/ (- (* (* x x) 9/4) (/ (* y y) 4)) (+ (* x 3/2) (/ y 2)))
(- (* (* x x) 9/4) (/ (* y y) 4))
(* (* x x) 9/4)
(* x x)
x
9/4
(/ (* y y) 4)
(* y y)
y
4
(+ (* x 3/2) (/ y 2))
(* x 3/2)
3/2
(/ y 2)
2
Outputs
(+ (* x 3/2) (/ y -2))
(+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64)))
x
3/2
#s(literal 3/2 binary64)
(/ y -2)
(/.f64 y #s(literal -2 binary64))
y
-2
#s(literal -2 binary64)
(* -1/2 y)
(/.f64 y #s(literal -2 binary64))
-1/2
#s(literal -1/2 binary64)
y
(+ x (* -1/2 y))
(+.f64 x (/.f64 y #s(literal -2 binary64)))
x
(* -1/2 y)
(/.f64 y #s(literal -2 binary64))
-1/2
#s(literal -1/2 binary64)
y
(+ x (/ (+ (* x (/ -2 y)) 2) (/ -4 y)))
(+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64)))
x
(/ (+ (* x (/ -2 y)) 2) (/ -4 y))
(*.f64 #s(literal 1/2 binary64) (-.f64 x y))
(+ (* x (/ -2 y)) 2)
(+.f64 (*.f64 x (/.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64))
(* x (/ -2 y))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
-2
#s(literal -2 binary64)
y
2
#s(literal 2 binary64)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
-4
#s(literal -4 binary64)
(/ (- (* (* x x) 9/4) (/ (* y y) 4)) (+ (* x 3/2) (/ y 2)))
(/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (/.f64 (*.f64 y y) #s(literal -4 binary64))) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))))
(- (* (* x x) 9/4) (/ (* y y) 4))
(+.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (/.f64 (*.f64 y y) #s(literal -4 binary64)))
(* (* x x) 9/4)
(*.f64 x (*.f64 x #s(literal 9/4 binary64)))
(* x x)
(*.f64 x x)
x
9/4
#s(literal 9/4 binary64)
(/ (* y y) 4)
(/.f64 (*.f64 y y) #s(literal 4 binary64))
(* y y)
(*.f64 y y)
y
4
#s(literal 4 binary64)
(+ (* x 3/2) (/ y 2))
(+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))
(* x 3/2)
(*.f64 x #s(literal 3/2 binary64))
3/2
#s(literal 3/2 binary64)
(/ y 2)
(/.f64 y #s(literal 2 binary64))
2
#s(literal 2 binary64)

localize229.0ms (2.8%)

Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))
✓accuracy99.8%
(*.f64 (*.f64 x x) #s(literal 9/4 binary64))
✓accuracy97.1%
(-.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (/.f64 (*.f64 y y) #s(literal 4 binary64)))
✓accuracy60.3%
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (/.f64 (*.f64 y y) #s(literal 4 binary64))) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))))
✓accuracy100.0%
(+.f64 (*.f64 x (/.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64))
✓accuracy99.8%
(+.f64 x (/.f64 (+.f64 (*.f64 x (/.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) y)))
✓accuracy99.7%
(*.f64 x (/.f64 #s(literal -2 binary64) y))
✓accuracy87.6%
(/.f64 (+.f64 (*.f64 x (/.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) y))
✓accuracy100.0%
(+.f64 x (*.f64 #s(literal -1/2 binary64) y))
✓accuracy100.0%
(*.f64 #s(literal -1/2 binary64) y)
✓accuracy100.0%
(*.f64 #s(literal -1/2 binary64) y)
✓accuracy100.0%
(fma.f64 x #s(literal 3/2 binary64) (/.f64 y #s(literal -2 binary64)))
✓accuracy100.0%
(/.f64 y #s(literal -2 binary64))
Results
101.0ms212×0valid
41.0ms10×3valid
23.0ms23×1valid
12.0ms10×2valid
2.0ms1×5exit
Compiler

Compiled 144 to 29 computations (79.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 81.0ms
ival-div: 43.0ms (53.2% of total)
ival-mult: 14.0ms (17.3% of total)
ival-add: 9.0ms (11.1% of total)
backward-pass: 6.0ms (7.4% of total)
compiled-spec: 5.0ms (6.2% of total)
ival-sub: 2.0ms (2.5% of total)
const: 1.0ms (1.2% of total)

series17.0ms (0.2%)

Counts
13 → 264
Calls
Call 1
Inputs
#<alt (+ (* x 3/2) (/ y -2))>
#<alt (/ y -2)>
#<alt (* -1/2 y)>
#<alt (+ x (* -1/2 y))>
#<alt (+ x (/ (+ (* x (/ -2 y)) 2) (/ -4 y)))>
#<alt (/ (+ (* x (/ -2 y)) 2) (/ -4 y))>
#<alt (+ (* x (/ -2 y)) 2)>
#<alt (* x (/ -2 y))>
#<alt (/ (- (* (* x x) 9/4) (/ (* y y) 4)) (+ (* x 3/2) (/ y 2)))>
#<alt (- (* (* x x) 9/4) (/ (* y y) 4))>
#<alt (* (* x x) 9/4)>
#<alt (* x x)>
#<alt (+ (* x 3/2) (/ y 2))>
Outputs
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (* 3/2 x)>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* 3/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* 3/2 x)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (* -1/2 y)>
#<alt (* y (- (* 3/2 (/ x y)) 1/2))>
#<alt (* y (- (* 3/2 (/ x y)) 1/2))>
#<alt (* y (- (* 3/2 (/ x y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (+ x (* -1/2 y))>
#<alt (+ x (* -1/2 y))>
#<alt (+ x (* -1/2 y))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 (/ y x))))>
#<alt (* x (+ 1 (* -1/2 (/ y x))))>
#<alt (* x (+ 1 (* -1/2 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1)))>
#<alt x>
#<alt (+ x (* -1/2 y))>
#<alt (+ x (* -1/2 y))>
#<alt (+ x (* -1/2 y))>
#<alt (* -1/2 y)>
#<alt (* y (- (/ x y) 1/2))>
#<alt (* y (- (/ x y) 1/2))>
#<alt (* y (- (/ x y) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ x y)))))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (* 3/2 x)>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* 3/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (+ x (* 1/2 x))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (+ x (+ (* -1/2 y) (* 1/2 x)))>
#<alt (* -1/2 y)>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 1/2 (* -1/2 (/ y x))))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 1/2)))>
#<alt (* 1/2 x)>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (+ (* -1/2 y) (* 1/2 x))>
#<alt (* -1/2 y)>
#<alt (* y (- (* 1/2 (/ x y)) 1/2))>
#<alt (* y (- (* 1/2 (/ x y)) 1/2))>
#<alt (* y (- (* 1/2 (/ x y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))>
#<alt 2>
#<alt (+ 2 (* -2 (/ x y)))>
#<alt (+ 2 (* -2 (/ x y)))>
#<alt (+ 2 (* -2 (/ x y)))>
#<alt (* -2 (/ x y))>
#<alt (* x (- (* 2 (/ 1 x)) (* 2 (/ 1 y))))>
#<alt (* x (- (* 2 (/ 1 x)) (* 2 (/ 1 y))))>
#<alt (* x (- (* 2 (/ 1 x)) (* 2 (/ 1 y))))>
#<alt (* -2 (/ x y))>
#<alt (* -1 (* x (- (* 2 (/ 1 y)) (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- (* 2 (/ 1 y)) (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (- (* 2 (/ 1 y)) (* 2 (/ 1 x)))))>
#<alt (* -2 (/ x y))>
#<alt (/ (+ (* -2 x) (* 2 y)) y)>
#<alt (/ (+ (* -2 x) (* 2 y)) y)>
#<alt (/ (+ (* -2 x) (* 2 y)) y)>
#<alt 2>
#<alt (+ 2 (* -2 (/ x y)))>
#<alt (+ 2 (* -2 (/ x y)))>
#<alt (+ 2 (* -2 (/ x y)))>
#<alt 2>
#<alt (+ 2 (* -2 (/ x y)))>
#<alt (+ 2 (* -2 (/ x y)))>
#<alt (+ 2 (* -2 (/ x y)))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (* 3/2 x)>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* 3/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* 3/2 x)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (* -1/2 y)>
#<alt (* y (- (* 3/2 (/ x y)) 1/2))>
#<alt (* y (- (* 3/2 (/ x y)) 1/2))>
#<alt (* y (- (* 3/2 (/ x y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))>
#<alt (* -1/4 (pow y 2))>
#<alt (- (* 9/4 (pow x 2)) (* 1/4 (pow y 2)))>
#<alt (- (* 9/4 (pow x 2)) (* 1/4 (pow y 2)))>
#<alt (- (* 9/4 (pow x 2)) (* 1/4 (pow y 2)))>
#<alt (* 9/4 (pow x 2))>
#<alt (* (pow x 2) (+ 9/4 (* -1/4 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 9/4 (* -1/4 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 9/4 (* -1/4 (/ (pow y 2) (pow x 2)))))>
#<alt (* 9/4 (pow x 2))>
#<alt (* (pow x 2) (+ 9/4 (* -1/4 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 9/4 (* -1/4 (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 9/4 (* -1/4 (/ (pow y 2) (pow x 2)))))>
#<alt (* 9/4 (pow x 2))>
#<alt (+ (* -1/4 (pow y 2)) (* 9/4 (pow x 2)))>
#<alt (+ (* -1/4 (pow y 2)) (* 9/4 (pow x 2)))>
#<alt (+ (* -1/4 (pow y 2)) (* 9/4 (pow x 2)))>
#<alt (* -1/4 (pow y 2))>
#<alt (* (pow y 2) (- (* 9/4 (/ (pow x 2) (pow y 2))) 1/4))>
#<alt (* (pow y 2) (- (* 9/4 (/ (pow x 2) (pow y 2))) 1/4))>
#<alt (* (pow y 2) (- (* 9/4 (/ (pow x 2) (pow y 2))) 1/4))>
#<alt (* -1/4 (pow y 2))>
#<alt (* (pow y 2) (- (* 9/4 (/ (pow x 2) (pow y 2))) 1/4))>
#<alt (* (pow y 2) (- (* 9/4 (/ (pow x 2) (pow y 2))) 1/4))>
#<alt (* (pow y 2) (- (* 9/4 (/ (pow x 2) (pow y 2))) 1/4))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/2 y)>
#<alt (+ (* 1/2 y) (* 3/2 x))>
#<alt (+ (* 1/2 y) (* 3/2 x))>
#<alt (+ (* 1/2 y) (* 3/2 x))>
#<alt (* 3/2 x)>
#<alt (* x (+ 3/2 (* 1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* 1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* 1/2 (/ y x))))>
#<alt (* 3/2 x)>
#<alt (* -1 (* x (- (* -1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* -1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* -1/2 (/ y x)) 3/2)))>
#<alt (* 3/2 x)>
#<alt (+ (* 1/2 y) (* 3/2 x))>
#<alt (+ (* 1/2 y) (* 3/2 x))>
#<alt (+ (* 1/2 y) (* 3/2 x))>
#<alt (* 1/2 y)>
#<alt (* y (+ 1/2 (* 3/2 (/ x y))))>
#<alt (* y (+ 1/2 (* 3/2 (/ x y))))>
#<alt (* y (+ 1/2 (* 3/2 (/ x y))))>
#<alt (* 1/2 y)>
#<alt (* -1 (* y (- (* -3/2 (/ x y)) 1/2)))>
#<alt (* -1 (* y (- (* -3/2 (/ x y)) 1/2)))>
#<alt (* -1 (* y (- (* -3/2 (/ x y)) 1/2)))>
Calls

66 calls:

TimeVariablePointExpression
4.0ms
y
@0
(+ x (/ (+ (* x (/ -2 y)) 2) (/ -4 y)))
1.0ms
x
@0
(/ (- (* (* x x) 9/4) (/ (* y y) 4)) (+ (* x 3/2) (/ y 2)))
1.0ms
y
@0
(/ (- (* (* x x) 9/4) (/ (* y y) 4)) (+ (* x 3/2) (/ y 2)))
1.0ms
x
@inf
(+ x (/ (+ (* x (/ -2 y)) 2) (/ -4 y)))
1.0ms
x
@0
(+ x (/ (+ (* x (/ -2 y)) 2) (/ -4 y)))

rewrite373.0ms (4.6%)

Algorithm
1×batch-egg-rewrite
Rules
3912×/-lowering-/.f32
3912×/-lowering-/.f64
3110×*-lowering-*.f32
3110×*-lowering-*.f64
1650×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02876
117974
2166074
0849774
Stop Event
1×iter limit
1×node limit
Counts
13 → 526
Calls
Call 1
Inputs
(+ (* x 3/2) (/ y -2))
(/ y -2)
(* -1/2 y)
(+ x (* -1/2 y))
(+ x (/ (+ (* x (/ -2 y)) 2) (/ -4 y)))
(/ (+ (* x (/ -2 y)) 2) (/ -4 y))
(+ (* x (/ -2 y)) 2)
(* x (/ -2 y))
(/ (- (* (* x x) 9/4) (/ (* y y) 4)) (+ (* x 3/2) (/ y 2)))
(- (* (* x x) 9/4) (/ (* y y) 4))
(* (* x x) 9/4)
(* x x)
(+ (* x 3/2) (/ y 2))
Outputs
(+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64)))
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
(+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))) (neg.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))) #s(literal 4 binary64)))))
(+.f64 (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 y #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64))))) #s(literal -1 binary64)))
(-.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))) (/.f64 (*.f64 y y) (*.f64 (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))) #s(literal 4 binary64))))
(fma.f64 x #s(literal 3/2 binary64) (/.f64 y #s(literal -2 binary64)))
(fma.f64 x (/.f64 (*.f64 x #s(literal 9/4 binary64)) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))) (neg.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))) #s(literal 4 binary64)))))
(fma.f64 #s(literal 3/2 binary64) x (/.f64 y #s(literal -2 binary64)))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 x #s(literal 3/2 binary64)))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 9/4 binary64) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))) (neg.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))) #s(literal 4 binary64)))))
(fma.f64 #s(literal 9/4 binary64) (/.f64 (*.f64 x x) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))) (neg.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))) #s(literal 4 binary64)))))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))) (neg.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))) #s(literal 4 binary64)))))
(fma.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (/.f64 (*.f64 y y) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))) (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 y #s(literal 2 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(fma.f64 (+.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64))) (/.f64 (*.f64 y y) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))) (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 y #s(literal 2 binary64))))
(fma.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (/.f64 (-.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))) (/.f64 #s(literal -2 binary64) y)))) (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 y #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 y #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) y) (*.f64 x #s(literal 3/2 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))) (+.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (/.f64 (*.f64 y y) #s(literal -4 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 y #s(literal 2 binary64))))
(fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64)))) (+.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (/.f64 (-.f64 (/.f64 y #s(literal 2 binary64)) (*.f64 x #s(literal 3/2 binary64))) (/.f64 #s(literal 2 binary64) y))) (neg.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))) #s(literal 4 binary64)))))
(fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (/.f64 (*.f64 y y) #s(literal -4 binary64)))) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64))) (neg.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))) #s(literal 4 binary64)))))
(fma.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (/.f64 (*.f64 y y) #s(literal -4 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64)))) (+.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (/.f64 (-.f64 (/.f64 y #s(literal 2 binary64)) (*.f64 x #s(literal 3/2 binary64))) (/.f64 #s(literal 2 binary64) y))) (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 y #s(literal 2 binary64))))
(fma.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (/.f64 (*.f64 y y) #s(literal -4 binary64))) (+.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (/.f64 (*.f64 y y) #s(literal -4 binary64)))) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 y #s(literal 2 binary64))))
(neg.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (/.f64 (*.f64 y y) #s(literal -4 binary64))) (-.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))))
(neg.f64 (/.f64 (+.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64))) (/.f64 (*.f64 y y) #s(literal 4 binary64))) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (/.f64 (*.f64 y y) #s(literal -4 binary64))) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))))
(/.f64 (+.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64))) (/.f64 (*.f64 y y) #s(literal 4 binary64))) (-.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64))) (+.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (/.f64 (-.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))) (/.f64 #s(literal -2 binary64) y))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64))) (+.f64 (/.f64 (*.f64 y y) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (/.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 #s(literal -2 binary64) y)))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64))) (+.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (+.f64 (/.f64 (*.f64 y y) #s(literal 4 binary64)) (/.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 #s(literal 2 binary64) y)))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729/64 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64)))) (*.f64 (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 81/16 binary64)) (*.f64 (/.f64 (*.f64 y y) #s(literal 4 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (/.f64 (*.f64 y y) #s(literal 4 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (/.f64 (-.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))) (/.f64 #s(literal -2 binary64) y))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 81/16 binary64)) (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 16 binary64))) (*.f64 (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))) (+.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (/.f64 (*.f64 y y) #s(literal 4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (/.f64 (-.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))) (/.f64 #s(literal -2 binary64) y))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))) (*.f64 (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))) (/.f64 (*.f64 y y) #s(literal 4 binary64)))) (*.f64 (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729/64 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 64 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 81/16 binary64)) (*.f64 (/.f64 (*.f64 y y) #s(literal 4 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (/.f64 (*.f64 y y) #s(literal 4 binary64))))) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 81/16 binary64)) (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 16 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (/.f64 (*.f64 y y) #s(literal 4 binary64))) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64)))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (/.f64 (-.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))) (/.f64 #s(literal -2 binary64) y)))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64)))) (neg.f64 (+.f64 (/.f64 (*.f64 y y) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (/.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 #s(literal -2 binary64) y))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64)))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (+.f64 (/.f64 (*.f64 y y) #s(literal 4 binary64)) (/.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 #s(literal 2 binary64) y))))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64))) (/.f64 (*.f64 y y) #s(literal 4 binary64)))) (neg.f64 (-.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))))
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(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64))) (+.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (+.f64 (/.f64 (*.f64 y y) #s(literal 4 binary64)) (/.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 #s(literal -2 binary64) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (/.f64 (-.f64 (/.f64 y #s(literal 2 binary64)) (*.f64 x #s(literal 3/2 binary64))) (/.f64 #s(literal 2 binary64) y))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64))) (+.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (/.f64 (*.f64 y y) #s(literal -4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (/.f64 (-.f64 (/.f64 y #s(literal 2 binary64)) (*.f64 x #s(literal 3/2 binary64))) (/.f64 #s(literal 2 binary64) y))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64))) (+.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (/.f64 (*.f64 y y) #s(literal -4 binary64))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64)))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (/.f64 (-.f64 (/.f64 y #s(literal 2 binary64)) (*.f64 x #s(literal 3/2 binary64))) (/.f64 #s(literal 2 binary64) y)))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64)))) (neg.f64 (+.f64 (/.f64 (*.f64 y y) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (/.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 #s(literal 2 binary64) y))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64)))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (+.f64 (/.f64 (*.f64 y y) #s(literal 4 binary64)) (/.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 #s(literal -2 binary64) y))))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64))) (/.f64 (*.f64 y y) #s(literal 4 binary64)))) (neg.f64 (neg.f64 (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64))))))
(/.f64 (-.f64 (/.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal 9/4 binary64))) (-.f64 (/.f64 y #s(literal 2 binary64)) (*.f64 x #s(literal 3/2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64)))) (*.f64 (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64))) (/.f64 (*.f64 y y) #s(literal 4 binary64)))) (*.f64 (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64))) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64))))) (neg.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (/.f64 (-.f64 (/.f64 y #s(literal 2 binary64)) (*.f64 x #s(literal 3/2 binary64))) (/.f64 #s(literal 2 binary64) y))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal 9/4 binary64)))) (neg.f64 (-.f64 (/.f64 y #s(literal 2 binary64)) (*.f64 x #s(literal 3/2 binary64)))))
(pow.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (/.f64 (-.f64 (/.f64 y #s(literal 2 binary64)) (*.f64 x #s(literal 3/2 binary64))) (/.f64 #s(literal 2 binary64) y))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64))) (+.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (/.f64 (*.f64 y y) #s(literal -4 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (/.f64 (*.f64 y y) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64)))))
(*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (/.f64 (-.f64 (/.f64 y #s(literal 2 binary64)) (*.f64 x #s(literal 3/2 binary64))) (/.f64 #s(literal 2 binary64) y)))))

simplify241.0ms (3%)

Algorithm
1×egg-herbie
Rules
3132×*-lowering-*.f32
3132×*-lowering-*.f64
1452×times-frac
918×/-lowering-/.f32
918×/-lowering-/.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01101377
13421278
29951278
329821260
476071260
082021260
Stop Event
1×iter limit
1×node limit
Counts
264 → 264
Calls
Call 1
Inputs
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* 3/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* 3/2 x)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* -1/2 y)
(* y (- (* 3/2 (/ x y)) 1/2))
(* y (- (* 3/2 (/ x y)) 1/2))
(* y (- (* 3/2 (/ x y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(+ x (* -1/2 y))
(+ x (* -1/2 y))
(+ x (* -1/2 y))
x
(* x (+ 1 (* -1/2 (/ y x))))
(* x (+ 1 (* -1/2 (/ y x))))
(* x (+ 1 (* -1/2 (/ y x))))
x
(* -1 (* x (- (* 1/2 (/ y x)) 1)))
(* -1 (* x (- (* 1/2 (/ y x)) 1)))
(* -1 (* x (- (* 1/2 (/ y x)) 1)))
x
(+ x (* -1/2 y))
(+ x (* -1/2 y))
(+ x (* -1/2 y))
(* -1/2 y)
(* y (- (/ x y) 1/2))
(* y (- (/ x y) 1/2))
(* y (- (/ x y) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1 (/ x y)))))
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* 3/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(+ x (* 1/2 x))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(+ x (+ (* -1/2 y) (* 1/2 x)))
(* -1/2 y)
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* y (- (+ (* 1/2 (/ x y)) (/ x y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1 (* y (+ 1/2 (* -1 (/ (+ x (* 1/2 x)) y)))))
(* -1/2 y)
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(* 1/2 x)
(* x (+ 1/2 (* -1/2 (/ y x))))
(* x (+ 1/2 (* -1/2 (/ y x))))
(* x (+ 1/2 (* -1/2 (/ y x))))
(* 1/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* 1/2 x)
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(* -1/2 y)
(* y (- (* 1/2 (/ x y)) 1/2))
(* y (- (* 1/2 (/ x y)) 1/2))
(* y (- (* 1/2 (/ x y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
2
(+ 2 (* -2 (/ x y)))
(+ 2 (* -2 (/ x y)))
(+ 2 (* -2 (/ x y)))
(* -2 (/ x y))
(* x (- (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(* x (- (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(* x (- (* 2 (/ 1 x)) (* 2 (/ 1 y))))
(* -2 (/ x y))
(* -1 (* x (- (* 2 (/ 1 y)) (* 2 (/ 1 x)))))
(* -1 (* x (- (* 2 (/ 1 y)) (* 2 (/ 1 x)))))
(* -1 (* x (- (* 2 (/ 1 y)) (* 2 (/ 1 x)))))
(* -2 (/ x y))
(/ (+ (* -2 x) (* 2 y)) y)
(/ (+ (* -2 x) (* 2 y)) y)
(/ (+ (* -2 x) (* 2 y)) y)
2
(+ 2 (* -2 (/ x y)))
(+ 2 (* -2 (/ x y)))
(+ 2 (* -2 (/ x y)))
2
(+ 2 (* -2 (/ x y)))
(+ 2 (* -2 (/ x y)))
(+ 2 (* -2 (/ x y)))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* 3/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* 3/2 x)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* -1/2 y)
(* y (- (* 3/2 (/ x y)) 1/2))
(* y (- (* 3/2 (/ x y)) 1/2))
(* y (- (* 3/2 (/ x y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1/4 (pow y 2))
(- (* 9/4 (pow x 2)) (* 1/4 (pow y 2)))
(- (* 9/4 (pow x 2)) (* 1/4 (pow y 2)))
(- (* 9/4 (pow x 2)) (* 1/4 (pow y 2)))
(* 9/4 (pow x 2))
(* (pow x 2) (+ 9/4 (* -1/4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 9/4 (* -1/4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 9/4 (* -1/4 (/ (pow y 2) (pow x 2)))))
(* 9/4 (pow x 2))
(* (pow x 2) (+ 9/4 (* -1/4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 9/4 (* -1/4 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 9/4 (* -1/4 (/ (pow y 2) (pow x 2)))))
(* 9/4 (pow x 2))
(+ (* -1/4 (pow y 2)) (* 9/4 (pow x 2)))
(+ (* -1/4 (pow y 2)) (* 9/4 (pow x 2)))
(+ (* -1/4 (pow y 2)) (* 9/4 (pow x 2)))
(* -1/4 (pow y 2))
(* (pow y 2) (- (* 9/4 (/ (pow x 2) (pow y 2))) 1/4))
(* (pow y 2) (- (* 9/4 (/ (pow x 2) (pow y 2))) 1/4))
(* (pow y 2) (- (* 9/4 (/ (pow x 2) (pow y 2))) 1/4))
(* -1/4 (pow y 2))
(* (pow y 2) (- (* 9/4 (/ (pow x 2) (pow y 2))) 1/4))
(* (pow y 2) (- (* 9/4 (/ (pow x 2) (pow y 2))) 1/4))
(* (pow y 2) (- (* 9/4 (/ (pow x 2) (pow y 2))) 1/4))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/2 y)
(+ (* 1/2 y) (* 3/2 x))
(+ (* 1/2 y) (* 3/2 x))
(+ (* 1/2 y) (* 3/2 x))
(* 3/2 x)
(* x (+ 3/2 (* 1/2 (/ y x))))
(* x (+ 3/2 (* 1/2 (/ y x))))
(* x (+ 3/2 (* 1/2 (/ y x))))
(* 3/2 x)
(* -1 (* x (- (* -1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* -1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* -1/2 (/ y x)) 3/2)))
(* 3/2 x)
(+ (* 1/2 y) (* 3/2 x))
(+ (* 1/2 y) (* 3/2 x))
(+ (* 1/2 y) (* 3/2 x))
(* 1/2 y)
(* y (+ 1/2 (* 3/2 (/ x y))))
(* y (+ 1/2 (* 3/2 (/ x y))))
(* y (+ 1/2 (* 3/2 (/ x y))))
(* 1/2 y)
(* -1 (* y (- (* -3/2 (/ x y)) 1/2)))
(* -1 (* y (- (* -3/2 (/ x y)) 1/2)))
(* -1 (* y (- (* -3/2 (/ x y)) 1/2)))
Outputs
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* x (+ 3/2 (* -1/2 (/ y x))))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* x (+ 3/2 (* -1/2 (/ y x))))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* y (- (* 3/2 (/ x y)) 1/2))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* y (- (* 3/2 (/ x y)) 1/2))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* y (- (* 3/2 (/ x y)) 1/2))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
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(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 y #s(literal 1/2 binary64)))
(+ (* 1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 y #s(literal 1/2 binary64)))
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* x (+ 3/2 (* 1/2 (/ y x))))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 y #s(literal 1/2 binary64)))
(* x (+ 3/2 (* 1/2 (/ y x))))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 y #s(literal 1/2 binary64)))
(* x (+ 3/2 (* 1/2 (/ y x))))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 y #s(literal 1/2 binary64)))
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* -1 (* x (- (* -1/2 (/ y x)) 3/2)))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 y #s(literal 1/2 binary64)))
(* -1 (* x (- (* -1/2 (/ y x)) 3/2)))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 y #s(literal 1/2 binary64)))
(* -1 (* x (- (* -1/2 (/ y x)) 3/2)))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 y #s(literal 1/2 binary64)))
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(+ (* 1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 y #s(literal 1/2 binary64)))
(+ (* 1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 y #s(literal 1/2 binary64)))
(+ (* 1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 y #s(literal 1/2 binary64)))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* y (+ 1/2 (* 3/2 (/ x y))))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 y #s(literal 1/2 binary64)))
(* y (+ 1/2 (* 3/2 (/ x y))))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 y #s(literal 1/2 binary64)))
(* y (+ 1/2 (* 3/2 (/ x y))))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 y #s(literal 1/2 binary64)))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* -1 (* y (- (* -3/2 (/ x y)) 1/2)))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 y #s(literal 1/2 binary64)))
(* -1 (* y (- (* -3/2 (/ x y)) 1/2)))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 y #s(literal 1/2 binary64)))
(* -1 (* y (- (* -3/2 (/ x y)) 1/2)))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 y #s(literal 1/2 binary64)))

eval161.0ms (2%)

Compiler

Compiled 19002 to 1255 computations (93.4% saved)

prune68.0ms (0.8%)

Pruning

13 alts after pruning (7 fresh and 6 done)

PrunedKeptTotal
New8225827
Fresh325
Picked145
Done022
Total82613839
Accuracy
100.0%
Counts
839 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(fma.f64 x #s(literal 3/2 binary64) (/.f64 y #s(literal -2 binary64)))
30.3%
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (/.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 #s(literal 3/2 binary64) x))
19.3%
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64))) (+.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (/.f64 (-.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))) (/.f64 #s(literal -2 binary64) y))))
▶30.5%
(/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))))
▶99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))))
✓99.9%
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
✓99.8%
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
✓87.7%
(+.f64 x (/.f64 (+.f64 (*.f64 x (/.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) y)))
▶39.1%
(+.f64 x (/.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) (/.f64 #s(literal -4 binary64) y)))
✓59.3%
(+.f64 x (*.f64 #s(literal -1/2 binary64) y))
▶51.1%
(*.f64 #s(literal 3/2 binary64) x)
✓50.8%
(*.f64 #s(literal -1/2 binary64) y)
▶11.7%
x
Compiler

Compiled 255 to 179 computations (29.8% saved)

simplify295.0ms (3.6%)

Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))
✓cost-diff0
(*.f64 x #s(literal 9/4 binary64))
✓cost-diff0
(*.f64 x (*.f64 x #s(literal 9/4 binary64)))
✓cost-diff0
(/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))))
✓cost-diff0
(/.f64 x y)
✓cost-diff0
(*.f64 (/.f64 x y) #s(literal -2 binary64))
✓cost-diff384
(/.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) (/.f64 #s(literal -4 binary64) y))
✓cost-diff512
(+.f64 x (/.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) (/.f64 #s(literal -4 binary64) y)))
✓cost-diff0
(*.f64 #s(literal 3/2 binary64) x)
✓cost-diff0
(/.f64 y #s(literal -2 binary64))
✓cost-diff0
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))))
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))))
Rules
4444×fma-define
3260×fma-lowering-fma.f32
3260×fma-lowering-fma.f64
3136×*-lowering-*.f32
3136×*-lowering-*.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
024103
14796
29496
318296
429792
565792
6131992
7224492
8325492
9374892
10407392
11422392
12439292
13450092
14518392
15578592
16635792
17710292
0803692
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 1 (/ 1 (+ (/ y -2) (* x 3/2))))
1
(/ 1 (+ (/ y -2) (* x 3/2)))
(+ (/ y -2) (* x 3/2))
(/ y -2)
y
-2
(* x 3/2)
x
3/2
x
(* 3/2 x)
3/2
x
(+ x (/ (* (/ x y) -2) (/ -4 y)))
x
(/ (* (/ x y) -2) (/ -4 y))
(* (/ x y) -2)
(/ x y)
y
-2
(/ -4 y)
-4
(/ (* x (* x 9/4)) (+ (* x 3/2) (/ y 2)))
(* x (* x 9/4))
x
(* x 9/4)
9/4
(+ (* x 3/2) (/ y 2))
(* x 3/2)
3/2
(/ y 2)
y
2
Outputs
(/ 1 (/ 1 (+ (/ y -2) (* x 3/2))))
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
1
#s(literal 1 binary64)
(/ 1 (+ (/ y -2) (* x 3/2)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))))
(+ (/ y -2) (* x 3/2))
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
(/ y -2)
(/.f64 y #s(literal -2 binary64))
y
-2
#s(literal -2 binary64)
(* x 3/2)
(*.f64 x #s(literal 3/2 binary64))
x
3/2
#s(literal 3/2 binary64)
x
(* 3/2 x)
(*.f64 x #s(literal 3/2 binary64))
3/2
#s(literal 3/2 binary64)
x
(+ x (/ (* (/ x y) -2) (/ -4 y)))
(*.f64 x #s(literal 3/2 binary64))
x
(/ (* (/ x y) -2) (/ -4 y))
(/.f64 x #s(literal 2 binary64))
(* (/ x y) -2)
(/.f64 (*.f64 #s(literal -2 binary64) x) y)
(/ x y)
(/.f64 x y)
y
-2
#s(literal -2 binary64)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
-4
#s(literal -4 binary64)
(/ (* x (* x 9/4)) (+ (* x 3/2) (/ y 2)))
(/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))))
(* x (* x 9/4))
(*.f64 x (*.f64 x #s(literal 9/4 binary64)))
x
(* x 9/4)
(*.f64 x #s(literal 9/4 binary64))
9/4
#s(literal 9/4 binary64)
(+ (* x 3/2) (/ y 2))
(+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))
(* x 3/2)
(*.f64 x #s(literal 3/2 binary64))
3/2
#s(literal 3/2 binary64)
(/ y 2)
(/.f64 y #s(literal 2 binary64))
y
2
#s(literal 2 binary64)

localize363.0ms (4.5%)

Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 x #s(literal 3/2 binary64))
✓accuracy100.0%
(+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))
✓accuracy99.8%
(*.f64 x (*.f64 x #s(literal 9/4 binary64)))
✓accuracy82.3%
(/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))))
✓accuracy100.0%
(/.f64 #s(literal -4 binary64) y)
✓accuracy100.0%
(+.f64 x (/.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) (/.f64 #s(literal -4 binary64) y)))
✓accuracy100.0%
(*.f64 (/.f64 x y) #s(literal -2 binary64))
✓accuracy81.5%
(/.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) (/.f64 #s(literal -4 binary64) y))
✓accuracy100.0%
(*.f64 #s(literal 3/2 binary64) x)
✓accuracy100.0%
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
✓accuracy100.0%
(*.f64 x #s(literal 3/2 binary64))
✓accuracy99.9%
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))))
Results
242.0ms92×5exit
68.0ms164×0valid
Compiler

Compiled 121 to 25 computations (79.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 102.0ms
ival-div: 44.0ms (43% of total)
backward-pass: 25.0ms (24.4% of total)
ival-mult: 20.0ms (19.5% of total)
ival-add: 10.0ms (9.8% of total)
const: 2.0ms (2% of total)

series13.0ms (0.2%)

Counts
15 → 288
Calls
Call 1
Inputs
#<alt (/ 1 (/ 1 (+ (/ y -2) (* x 3/2))))>
#<alt (/ 1 (+ (/ y -2) (* x 3/2)))>
#<alt (+ (/ y -2) (* x 3/2))>
#<alt (/ y -2)>
#<alt (* 3/2 x)>
#<alt (+ x (/ (* (/ x y) -2) (/ -4 y)))>
#<alt (/ (* (/ x y) -2) (/ -4 y))>
#<alt (* (/ x y) -2)>
#<alt (/ x y)>
#<alt (/ (* x (* x 9/4)) (+ (* x 3/2) (/ y 2)))>
#<alt (* x (* x 9/4))>
#<alt (* x 9/4)>
#<alt (+ (* x 3/2) (/ y 2))>
#<alt (* x 3/2)>
#<alt (/ -4 y)>
Outputs
#<alt (* 3/2 x)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (* -1/2 y)>
#<alt (* y (- (* 3/2 (/ x y)) 1/2))>
#<alt (* y (- (* 3/2 (/ x y)) 1/2))>
#<alt (* y (- (* 3/2 (/ x y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (* 3/2 x)>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* 3/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (/ 2/3 x)>
#<alt (+ (* 2/9 (/ y (pow x 2))) (* 2/3 (/ 1 x)))>
#<alt (+ (* y (+ (* 2/27 (/ y (pow x 3))) (* 2/9 (/ 1 (pow x 2))))) (* 2/3 (/ 1 x)))>
#<alt (+ (* y (+ (* y (+ (* 2/81 (/ y (pow x 4))) (* 2/27 (/ 1 (pow x 3))))) (* 2/9 (/ 1 (pow x 2))))) (* 2/3 (/ 1 x)))>
#<alt (/ -2 y)>
#<alt (/ (- (* -6 (/ x y)) 2) y)>
#<alt (/ (- (* -18 (/ (pow x 2) (pow y 2))) (+ 2 (* 6 (/ x y)))) y)>
#<alt (/ (- (* -54 (/ (pow x 3) (pow y 3))) (+ 2 (+ (* 6 (/ x y)) (* 18 (/ (pow x 2) (pow y 2)))))) y)>
#<alt (/ -2 y)>
#<alt (* -1 (/ (+ 2 (* 6 (/ x y))) y))>
#<alt (* -1 (/ (+ 2 (* -1 (/ (- (* -18 (/ (pow x 2) y)) (* 6 x)) y))) y))>
#<alt (* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (- (* 54 (/ (pow x 3) y)) (* -18 (pow x 2))) y)) (* 6 x)) y))) y))>
#<alt (/ -2 y)>
#<alt (- (* -6 (/ x (pow y 2))) (* 2 (/ 1 y)))>
#<alt (- (* x (- (* -18 (/ x (pow y 3))) (* 6 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))>
#<alt (- (* x (- (* x (- (* -54 (/ x (pow y 4))) (* 18 (/ 1 (pow y 3))))) (* 6 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))>
#<alt (/ 2/3 x)>
#<alt (/ (+ 2/3 (* 2/9 (/ y x))) x)>
#<alt (/ (- (+ 2/3 (* 2/27 (/ (pow y 2) (pow x 2)))) (* -2/9 (/ y x))) x)>
#<alt (/ (- (+ 2/3 (* 2/81 (/ (pow y 3) (pow x 3)))) (+ (* -2/9 (/ y x)) (* -2/27 (/ (pow y 2) (pow x 2))))) x)>
#<alt (/ 2/3 x)>
#<alt (* -1 (/ (- (* -2/9 (/ y x)) 2/3) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 2/27 (/ (pow y 2) x)) (* -2/9 y)) x)) 2/3) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2/81 (/ (pow y 3) x)) (* 2/27 (pow y 2))) x)) (* -2/9 y)) x)) 2/3) x))>
#<alt (* 3/2 x)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (* -1/2 y)>
#<alt (* y (- (* 3/2 (/ x y)) 1/2))>
#<alt (* y (- (* 3/2 (/ x y)) 1/2))>
#<alt (* y (- (* 3/2 (/ x y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (* 3/2 x)>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* 3/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (+ x (* 1/2 x))>
#<alt (+ x (* 1/2 x))>
#<alt (+ x (* 1/2 x))>
#<alt (+ x (* 1/2 x))>
#<alt (+ x (* 1/2 x))>
#<alt (+ x (* 1/2 x))>
#<alt (+ x (* 1/2 x))>
#<alt (+ x (* 1/2 x))>
#<alt (+ x (* 1/2 x))>
#<alt (+ x (* 1/2 x))>
#<alt (+ x (* 1/2 x))>
#<alt (+ x (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (* -2 (/ x y))>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (* 9/2 (/ (pow x 2) y))>
#<alt (* (pow x 2) (+ (* -27/2 (/ x (pow y 2))) (* 9/2 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* x (- (* 81/2 (/ x (pow y 3))) (* 27/2 (/ 1 (pow y 2))))) (* 9/2 (/ 1 y))))>
#<alt (* (pow x 2) (+ (* x (- (* x (+ (* -243/2 (/ x (pow y 4))) (* 81/2 (/ 1 (pow y 3))))) (* 27/2 (/ 1 (pow y 2))))) (* 9/2 (/ 1 y))))>
#<alt (* 3/2 x)>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (- (+ 3/2 (* 1/6 (/ (pow y 2) (pow x 2)))) (* 1/2 (/ y x))))>
#<alt (* x (- (+ 3/2 (* -1/18 (/ (pow y 3) (pow x 3)))) (+ (* -1/6 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x)))))>
#<alt (* 3/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* 1/6 (/ (pow y 2) x)) (* 1/2 y)) x)) 3/2)))>
#<alt (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/18 (/ (pow y 3) x)) (* 1/6 (pow y 2))) x)) (* 1/2 y)) x)) 3/2)))>
#<alt (* 3/2 x)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* 3/2 x) (* y (- (* 1/6 (/ y x)) 1/2)))>
#<alt (+ (* 3/2 x) (* y (- (* y (+ (* -1/18 (/ y (pow x 2))) (* 1/6 (/ 1 x)))) 1/2)))>
#<alt (* 9/2 (/ (pow x 2) y))>
#<alt (/ (+ (* -27/2 (/ (pow x 3) y)) (* 9/2 (pow x 2))) y)>
#<alt (/ (+ (* -27/2 (/ (pow x 3) y)) (+ (* 9/2 (pow x 2)) (* 81/2 (/ (pow x 4) (pow y 2))))) y)>
#<alt (/ (+ (* -243/2 (/ (pow x 5) (pow y 3))) (+ (* -27/2 (/ (pow x 3) y)) (+ (* 9/2 (pow x 2)) (* 81/2 (/ (pow x 4) (pow y 2)))))) y)>
#<alt (* 9/2 (/ (pow x 2) y))>
#<alt (* -1 (/ (+ (* -9/2 (pow x 2)) (* 27/2 (/ (pow x 3) y))) y))>
#<alt (* -1 (/ (+ (* -9/2 (pow x 2)) (* -1 (/ (+ (* -27/2 (pow x 3)) (* 81/2 (/ (pow x 4) y))) y))) y))>
#<alt (* -1 (/ (+ (* -9/2 (pow x 2)) (* -1 (/ (+ (* -27/2 (pow x 3)) (* -1 (/ (+ (* -81/2 (pow x 4)) (* 243/2 (/ (pow x 5) y))) y))) y))) y))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 x)>
#<alt (* 9/4 x)>
#<alt (* 9/4 x)>
#<alt (* 9/4 x)>
#<alt (* 9/4 x)>
#<alt (* 9/4 x)>
#<alt (* 9/4 x)>
#<alt (* 9/4 x)>
#<alt (* 9/4 x)>
#<alt (* 9/4 x)>
#<alt (* 9/4 x)>
#<alt (* 9/4 x)>
#<alt (* 1/2 y)>
#<alt (+ (* 1/2 y) (* 3/2 x))>
#<alt (+ (* 1/2 y) (* 3/2 x))>
#<alt (+ (* 1/2 y) (* 3/2 x))>
#<alt (* 3/2 x)>
#<alt (* x (+ 3/2 (* 1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* 1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* 1/2 (/ y x))))>
#<alt (* 3/2 x)>
#<alt (* -1 (* x (- (* -1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* -1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* -1/2 (/ y x)) 3/2)))>
#<alt (* 3/2 x)>
#<alt (+ (* 1/2 y) (* 3/2 x))>
#<alt (+ (* 1/2 y) (* 3/2 x))>
#<alt (+ (* 1/2 y) (* 3/2 x))>
#<alt (* 1/2 y)>
#<alt (* y (+ 1/2 (* 3/2 (/ x y))))>
#<alt (* y (+ 1/2 (* 3/2 (/ x y))))>
#<alt (* y (+ 1/2 (* 3/2 (/ x y))))>
#<alt (* 1/2 y)>
#<alt (* -1 (* y (- (* -3/2 (/ x y)) 1/2)))>
#<alt (* -1 (* y (- (* -3/2 (/ x y)) 1/2)))>
#<alt (* -1 (* y (- (* -3/2 (/ x y)) 1/2)))>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
#<alt (/ -4 y)>
Calls

72 calls:

TimeVariablePointExpression
3.0ms
y
@inf
(/ 1 (+ (/ y -2) (* x 3/2)))
0.0ms
x
@inf
(/ 1 (+ (/ y -2) (* x 3/2)))
0.0ms
y
@inf
(/ (* x (* x 9/4)) (+ (* x 3/2) (/ y 2)))
0.0ms
x
@0
(/ (* x (* x 9/4)) (+ (* x 3/2) (/ y 2)))
0.0ms
y
@0
(/ 1 (+ (/ y -2) (* x 3/2)))

rewrite334.0ms (4.1%)

Algorithm
1×batch-egg-rewrite
Rules
3956×/-lowering-/.f32
3956×/-lowering-/.f64
3794×*-lowering-*.f32
3794×*-lowering-*.f64
1658×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02488
113678
2117778
0816378
Stop Event
1×iter limit
1×node limit
Counts
15 → 562
Calls
Call 1
Inputs
(/ 1 (/ 1 (+ (/ y -2) (* x 3/2))))
(/ 1 (+ (/ y -2) (* x 3/2)))
(+ (/ y -2) (* x 3/2))
(/ y -2)
(* 3/2 x)
(+ x (/ (* (/ x y) -2) (/ -4 y)))
(/ (* (/ x y) -2) (/ -4 y))
(* (/ x y) -2)
(/ x y)
(/ (* x (* x 9/4)) (+ (* x 3/2) (/ y 2)))
(* x (* x 9/4))
(* x 9/4)
(+ (* x 3/2) (/ y 2))
(* x 3/2)
(/ -4 y)
Outputs
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/2 binary64))))
(+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64)))
(+.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 y #s(literal 2 binary64))))
(+.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) y) (/.f64 y #s(literal 2 binary64))))
(+.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))) (fma.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/2 binary64) (/.f64 y #s(literal 2 binary64))))
(+.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))) (fma.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y)) #s(literal -1/2 binary64) (/.f64 y #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/2 binary64))) (/.f64 y #s(literal -2 binary64)))
(+.f64 (*.f64 (/.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)))
(+.f64 (fma.f64 x #s(literal 3/2 binary64) (neg.f64 (*.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 (/.f64 y #s(literal -2 binary64)) #s(literal 1 binary64) (*.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))))
(+.f64 (fma.f64 x #s(literal 3/2 binary64) (neg.f64 (*.f64 (/.f64 y #s(literal -4 binary64)) #s(literal -2 binary64)))) (fma.f64 (neg.f64 (/.f64 y #s(literal -4 binary64))) #s(literal -2 binary64) (*.f64 (/.f64 y #s(literal -4 binary64)) #s(literal -2 binary64))))
(+.f64 (fma.f64 #s(literal 3/2 binary64) x (neg.f64 (*.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 (/.f64 y #s(literal -2 binary64)) #s(literal 1 binary64) (*.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 3/2 binary64) x (neg.f64 (*.f64 (/.f64 y #s(literal -4 binary64)) #s(literal -2 binary64)))) (fma.f64 (neg.f64 (/.f64 y #s(literal -4 binary64))) #s(literal -2 binary64) (*.f64 (/.f64 y #s(literal -4 binary64)) #s(literal -2 binary64))))
(exp.f64 (log.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))) #s(literal 1 binary64)))
(-.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -9/4 binary64)) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 #s(literal -3/2 binary64) x))) (/.f64 (/.f64 (*.f64 y y) #s(literal 4 binary64)) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 y y) #s(literal 4 binary64)) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 #s(literal -3/2 binary64) x))) (/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 #s(literal -3/2 binary64) x))))
(-.f64 (/.f64 (*.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 y y) #s(literal 4 binary64)) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 #s(literal -3/2 binary64) x))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 #s(literal -3/2 binary64) x))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 #s(literal -3/2 binary64) x)))) (/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 #s(literal -3/2 binary64) x)))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64)) (+.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (+.f64 (/.f64 (*.f64 y y) #s(literal 4 binary64)) (/.f64 (*.f64 (*.f64 x #s(literal 3/2 binary64)) y) #s(literal 2 binary64))))) (/.f64 (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64)) (+.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (+.f64 (/.f64 (*.f64 y y) #s(literal 4 binary64)) (/.f64 (*.f64 (*.f64 x #s(literal 3/2 binary64)) y) #s(literal 2 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 y #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal -2 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 y #s(literal 2 binary64))))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(fma.f64 y #s(literal -1/2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/2 binary64))))
(fma.f64 (/.f64 y #s(literal -2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 3/2 binary64) (/.f64 y #s(literal -2 binary64)))
(fma.f64 #s(literal 3/2 binary64) x (/.f64 y #s(literal -2 binary64)))
(fma.f64 (*.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64) (*.f64 (/.f64 y #s(literal -2 binary64)) #s(literal 1 binary64)))
(fma.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))) #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 y #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (-.f64 (/.f64 y #s(literal 2 binary64)) (*.f64 x #s(literal 3/2 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 y #s(literal 2 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/2 binary64) (*.f64 x #s(literal 3/2 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/2 binary64))))
(fma.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 (*.f64 x #s(literal 3/2 binary64)) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))))) (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 y #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 x #s(literal 3/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/2 binary64))))
(fma.f64 (+.f64 (/.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal -9/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 #s(literal -3/2 binary64) x))) (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 y #s(literal 2 binary64))))
(fma.f64 (pow.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))) #s(literal 1/2 binary64)) (+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 y #s(literal 2 binary64))))
(neg.f64 (-.f64 (/.f64 y #s(literal 2 binary64)) (*.f64 x #s(literal 3/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 y #s(literal 2 binary64)) (*.f64 x #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 (*.f64 x #s(literal 3/2 binary64)) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 #s(literal -3/2 binary64) x)) (+.f64 (/.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal -9/4 binary64)))))
(/.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 y #s(literal 2 binary64)) (*.f64 x #s(literal 3/2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 (*.f64 x #s(literal 3/2 binary64)) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 #s(literal -3/2 binary64) x)) (+.f64 (/.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal -9/4 binary64))))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64))) (+.f64 (/.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 (*.f64 x #s(literal 3/2 binary64)) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (/.f64 (-.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/2 binary64)))) (/.f64 #s(literal -2 binary64) y))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (+.f64 (/.f64 (*.f64 y y) #s(literal 4 binary64)) (/.f64 (*.f64 (*.f64 x #s(literal 3/2 binary64)) y) #s(literal 2 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64))) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 (*.f64 x #s(literal 3/2 binary64)) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (/.f64 (*.f64 y y) #s(literal 4 binary64))) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))))
(/.f64 (+.f64 (/.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal -9/4 binary64))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 #s(literal -3/2 binary64) x)))
(/.f64 (+.f64 (/.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal -9/4 binary64))) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 #s(literal -3/2 binary64) x))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64)))) (neg.f64 (+.f64 (/.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 (*.f64 x #s(literal 3/2 binary64)) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64)))) (neg.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (/.f64 (-.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3/2 binary64)))) (/.f64 #s(literal -2 binary64) y)))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64)))) (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 (*.f64 x #s(literal 3/2 binary64)) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64)))) (neg.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (+.f64 (/.f64 (*.f64 y y) #s(literal 4 binary64)) (/.f64 (*.f64 (*.f64 x #s(literal 3/2 binary64)) y) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (/.f64 (*.f64 y y) #s(literal 4 binary64)))) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 #s(literal -3/2 binary64) x)))
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal -9/4 binary64)))) (neg.f64 (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 #s(literal -3/2 binary64) x))))
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 y y) #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal -9/4 binary64)))) (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 #s(literal -3/2 binary64) x)))))
(/.f64 (-.f64 (/.f64 y #s(literal 2 binary64)) (*.f64 x #s(literal 3/2 binary64))) #s(literal -1 binary64))
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(/.f64 #s(literal 4 binary64) (-.f64 #s(literal 0 binary64) y))
(/.f64 #s(literal 4 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y))))
(pow.f64 (/.f64 #s(literal -4 binary64) y) #s(literal 1 binary64))
(pow.f64 (/.f64 y #s(literal -4 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 y #s(literal -4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) y))
(*.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -4 binary64))

simplify315.0ms (3.9%)

Algorithm
1×egg-herbie
Rules
4362×*-lowering-*.f32
4362×*-lowering-*.f64
1838×fma-lowering-fma.f32
1838×fma-lowering-fma.f64
1736×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03041762
19531673
227081640
377091640
080851640
Stop Event
1×iter limit
1×node limit
Counts
288 → 288
Calls
Call 1
Inputs
(* 3/2 x)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* -1/2 y)
(* y (- (* 3/2 (/ x y)) 1/2))
(* y (- (* 3/2 (/ x y)) 1/2))
(* y (- (* 3/2 (/ x y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* 3/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(/ 2/3 x)
(+ (* 2/9 (/ y (pow x 2))) (* 2/3 (/ 1 x)))
(+ (* y (+ (* 2/27 (/ y (pow x 3))) (* 2/9 (/ 1 (pow x 2))))) (* 2/3 (/ 1 x)))
(+ (* y (+ (* y (+ (* 2/81 (/ y (pow x 4))) (* 2/27 (/ 1 (pow x 3))))) (* 2/9 (/ 1 (pow x 2))))) (* 2/3 (/ 1 x)))
(/ -2 y)
(/ (- (* -6 (/ x y)) 2) y)
(/ (- (* -18 (/ (pow x 2) (pow y 2))) (+ 2 (* 6 (/ x y)))) y)
(/ (- (* -54 (/ (pow x 3) (pow y 3))) (+ 2 (+ (* 6 (/ x y)) (* 18 (/ (pow x 2) (pow y 2)))))) y)
(/ -2 y)
(* -1 (/ (+ 2 (* 6 (/ x y))) y))
(* -1 (/ (+ 2 (* -1 (/ (- (* -18 (/ (pow x 2) y)) (* 6 x)) y))) y))
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (- (* 54 (/ (pow x 3) y)) (* -18 (pow x 2))) y)) (* 6 x)) y))) y))
(/ -2 y)
(- (* -6 (/ x (pow y 2))) (* 2 (/ 1 y)))
(- (* x (- (* -18 (/ x (pow y 3))) (* 6 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))
(- (* x (- (* x (- (* -54 (/ x (pow y 4))) (* 18 (/ 1 (pow y 3))))) (* 6 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))
(/ 2/3 x)
(/ (+ 2/3 (* 2/9 (/ y x))) x)
(/ (- (+ 2/3 (* 2/27 (/ (pow y 2) (pow x 2)))) (* -2/9 (/ y x))) x)
(/ (- (+ 2/3 (* 2/81 (/ (pow y 3) (pow x 3)))) (+ (* -2/9 (/ y x)) (* -2/27 (/ (pow y 2) (pow x 2))))) x)
(/ 2/3 x)
(* -1 (/ (- (* -2/9 (/ y x)) 2/3) x))
(* -1 (/ (- (* -1 (/ (- (* 2/27 (/ (pow y 2) x)) (* -2/9 y)) x)) 2/3) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2/81 (/ (pow y 3) x)) (* 2/27 (pow y 2))) x)) (* -2/9 y)) x)) 2/3) x))
(* 3/2 x)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* -1/2 y)
(* y (- (* 3/2 (/ x y)) 1/2))
(* y (- (* 3/2 (/ x y)) 1/2))
(* y (- (* 3/2 (/ x y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* 3/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(+ x (* 1/2 x))
(+ x (* 1/2 x))
(+ x (* 1/2 x))
(+ x (* 1/2 x))
(+ x (* 1/2 x))
(+ x (* 1/2 x))
(+ x (* 1/2 x))
(+ x (* 1/2 x))
(+ x (* 1/2 x))
(+ x (* 1/2 x))
(+ x (* 1/2 x))
(+ x (* 1/2 x))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(* -2 (/ x y))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* 9/2 (/ (pow x 2) y))
(* (pow x 2) (+ (* -27/2 (/ x (pow y 2))) (* 9/2 (/ 1 y))))
(* (pow x 2) (+ (* x (- (* 81/2 (/ x (pow y 3))) (* 27/2 (/ 1 (pow y 2))))) (* 9/2 (/ 1 y))))
(* (pow x 2) (+ (* x (- (* x (+ (* -243/2 (/ x (pow y 4))) (* 81/2 (/ 1 (pow y 3))))) (* 27/2 (/ 1 (pow y 2))))) (* 9/2 (/ 1 y))))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (- (+ 3/2 (* 1/6 (/ (pow y 2) (pow x 2)))) (* 1/2 (/ y x))))
(* x (- (+ 3/2 (* -1/18 (/ (pow y 3) (pow x 3)))) (+ (* -1/6 (/ (pow y 2) (pow x 2))) (* 1/2 (/ y x)))))
(* 3/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* -1 (/ (- (* 1/6 (/ (pow y 2) x)) (* 1/2 y)) x)) 3/2)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/18 (/ (pow y 3) x)) (* 1/6 (pow y 2))) x)) (* 1/2 y)) x)) 3/2)))
(* 3/2 x)
(+ (* -1/2 y) (* 3/2 x))
(+ (* 3/2 x) (* y (- (* 1/6 (/ y x)) 1/2)))
(+ (* 3/2 x) (* y (- (* y (+ (* -1/18 (/ y (pow x 2))) (* 1/6 (/ 1 x)))) 1/2)))
(* 9/2 (/ (pow x 2) y))
(/ (+ (* -27/2 (/ (pow x 3) y)) (* 9/2 (pow x 2))) y)
(/ (+ (* -27/2 (/ (pow x 3) y)) (+ (* 9/2 (pow x 2)) (* 81/2 (/ (pow x 4) (pow y 2))))) y)
(/ (+ (* -243/2 (/ (pow x 5) (pow y 3))) (+ (* -27/2 (/ (pow x 3) y)) (+ (* 9/2 (pow x 2)) (* 81/2 (/ (pow x 4) (pow y 2)))))) y)
(* 9/2 (/ (pow x 2) y))
(* -1 (/ (+ (* -9/2 (pow x 2)) (* 27/2 (/ (pow x 3) y))) y))
(* -1 (/ (+ (* -9/2 (pow x 2)) (* -1 (/ (+ (* -27/2 (pow x 3)) (* 81/2 (/ (pow x 4) y))) y))) y))
(* -1 (/ (+ (* -9/2 (pow x 2)) (* -1 (/ (+ (* -27/2 (pow x 3)) (* -1 (/ (+ (* -81/2 (pow x 4)) (* 243/2 (/ (pow x 5) y))) y))) y))) y))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 x)
(* 9/4 x)
(* 9/4 x)
(* 9/4 x)
(* 9/4 x)
(* 9/4 x)
(* 9/4 x)
(* 9/4 x)
(* 9/4 x)
(* 9/4 x)
(* 9/4 x)
(* 9/4 x)
(* 1/2 y)
(+ (* 1/2 y) (* 3/2 x))
(+ (* 1/2 y) (* 3/2 x))
(+ (* 1/2 y) (* 3/2 x))
(* 3/2 x)
(* x (+ 3/2 (* 1/2 (/ y x))))
(* x (+ 3/2 (* 1/2 (/ y x))))
(* x (+ 3/2 (* 1/2 (/ y x))))
(* 3/2 x)
(* -1 (* x (- (* -1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* -1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* -1/2 (/ y x)) 3/2)))
(* 3/2 x)
(+ (* 1/2 y) (* 3/2 x))
(+ (* 1/2 y) (* 3/2 x))
(+ (* 1/2 y) (* 3/2 x))
(* 1/2 y)
(* y (+ 1/2 (* 3/2 (/ x y))))
(* y (+ 1/2 (* 3/2 (/ x y))))
(* y (+ 1/2 (* 3/2 (/ x y))))
(* 1/2 y)
(* -1 (* y (- (* -3/2 (/ x y)) 1/2)))
(* -1 (* y (- (* -3/2 (/ x y)) 1/2)))
(* -1 (* y (- (* -3/2 (/ x y)) 1/2)))
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
(/ -4 y)
Outputs
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* y (- (* 3/2 (/ x y)) 1/2))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y))))
(* y (- (* 3/2 (/ x y)) 1/2))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y))))
(* y (- (* 3/2 (/ x y)) 1/2))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y))))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y))))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y))))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y))))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(*.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) y) x)))
(* x (+ 3/2 (* -1/2 (/ y x))))
(*.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) y) x)))
(* x (+ 3/2 (* -1/2 (/ y x))))
(*.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) y) x)))
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(*.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) y) x)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(*.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) y) x)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(*.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) y) x)))
(/ 2/3 x)
(/.f64 #s(literal 2/3 binary64) x)
(+ (* 2/9 (/ y (pow x 2))) (* 2/3 (/ 1 x)))
(/.f64 (+.f64 #s(literal 2/3 binary64) (/.f64 (*.f64 y #s(literal 2/9 binary64)) x)) x)
(+ (* y (+ (* 2/27 (/ y (pow x 3))) (* 2/9 (/ 1 (pow x 2))))) (* 2/3 (/ 1 x)))
(+.f64 (*.f64 #s(literal 2/27 binary64) (/.f64 (/.f64 (/.f64 (*.f64 y y) x) x) x)) (/.f64 (+.f64 #s(literal 2/3 binary64) (/.f64 (*.f64 y #s(literal 2/9 binary64)) x)) x))
(+ (* y (+ (* y (+ (* 2/81 (/ y (pow x 4))) (* 2/27 (/ 1 (pow x 3))))) (* 2/9 (/ 1 (pow x 2))))) (* 2/3 (/ 1 x)))
(+.f64 (*.f64 (+.f64 (/.f64 (*.f64 y #s(literal 2/81 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 2/27 binary64) (*.f64 x (*.f64 x x)))) (*.f64 y y)) (/.f64 (+.f64 #s(literal 2/3 binary64) (/.f64 (*.f64 y #s(literal 2/9 binary64)) x)) x))
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ (- (* -6 (/ x y)) 2) y)
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 x #s(literal -6 binary64)) y)) y)
(/ (- (* -18 (/ (pow x 2) (pow y 2))) (+ 2 (* 6 (/ x y)))) y)
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 (*.f64 x (*.f64 x (/.f64 #s(literal -18 binary64) y))) (*.f64 x #s(literal -6 binary64))) y)) y)
(/ (- (* -54 (/ (pow x 3) (pow y 3))) (+ 2 (+ (* 6 (/ x y)) (* 18 (/ (pow x 2) (pow y 2)))))) y)
(/.f64 (+.f64 (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -54 binary64))) (*.f64 y (*.f64 y y)))) (/.f64 (+.f64 (*.f64 x (*.f64 x (/.f64 #s(literal -18 binary64) y))) (*.f64 x #s(literal -6 binary64))) y)) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(* -1 (/ (+ 2 (* 6 (/ x y))) y))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 x #s(literal -6 binary64)) y)) y)
(* -1 (/ (+ 2 (* -1 (/ (- (* -18 (/ (pow x 2) y)) (* 6 x)) y))) y))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 (*.f64 x #s(literal 6 binary64)) (/.f64 (*.f64 x (*.f64 x #s(literal 18 binary64))) y)) (-.f64 #s(literal 0 binary64) y))) y)
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (- (* 54 (/ (pow x 3) y)) (* -18 (pow x 2))) y)) (* 6 x)) y))) y))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal -18 binary64)) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -54 binary64))) y)) y) (*.f64 x #s(literal -6 binary64))) y)) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(- (* -6 (/ x (pow y 2))) (* 2 (/ 1 y)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 x #s(literal -6 binary64)) y)) y)
(- (* x (- (* -18 (/ x (pow y 3))) (* 6 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 (*.f64 x (*.f64 x (/.f64 #s(literal -18 binary64) y))) (*.f64 x #s(literal -6 binary64))) y)) y)
(- (* x (- (* x (- (* -54 (/ x (pow y 4))) (* 18 (/ 1 (pow y 3))))) (* 6 (/ 1 (pow y 2))))) (* 2 (/ 1 y)))
(+.f64 (*.f64 x (*.f64 x (+.f64 (/.f64 (*.f64 x #s(literal -54 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal -18 binary64) (*.f64 y (*.f64 y y)))))) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (*.f64 x #s(literal -6 binary64)) y)) y))
(/ 2/3 x)
(/.f64 #s(literal 2/3 binary64) x)
(/ (+ 2/3 (* 2/9 (/ y x))) x)
(/.f64 (+.f64 #s(literal 2/3 binary64) (/.f64 (*.f64 y #s(literal 2/9 binary64)) x)) x)
(/ (- (+ 2/3 (* 2/27 (/ (pow y 2) (pow x 2)))) (* -2/9 (/ y x))) x)
(/.f64 (+.f64 #s(literal 2/3 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2/27 binary64) (/.f64 (*.f64 y y) x)) (*.f64 y #s(literal 2/9 binary64))) x)) x)
(/ (- (+ 2/3 (* 2/81 (/ (pow y 3) (pow x 3)))) (+ (* -2/9 (/ y x)) (* -2/27 (/ (pow y 2) (pow x 2))))) x)
(/.f64 (+.f64 #s(literal 2/3 binary64) (+.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 2/81 binary64)))) (*.f64 x (*.f64 x x))) (/.f64 (+.f64 (*.f64 #s(literal 2/27 binary64) (/.f64 (*.f64 y y) x)) (*.f64 y #s(literal 2/9 binary64))) x))) x)
(/ 2/3 x)
(/.f64 #s(literal 2/3 binary64) x)
(* -1 (/ (- (* -2/9 (/ y x)) 2/3) x))
(/.f64 (+.f64 #s(literal 2/3 binary64) (/.f64 (*.f64 y #s(literal 2/9 binary64)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 2/27 (/ (pow y 2) x)) (* -2/9 y)) x)) 2/3) x))
(/.f64 (+.f64 (/.f64 (+.f64 (*.f64 y #s(literal -2/9 binary64)) (*.f64 #s(literal -2/27 binary64) (/.f64 (*.f64 y y) x))) x) #s(literal -2/3 binary64)) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2/81 (/ (pow y 3) x)) (* 2/27 (pow y 2))) x)) (* -2/9 y)) x)) 2/3) x))
(/.f64 (+.f64 #s(literal 2/3 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (*.f64 y (*.f64 y #s(literal 2/27 binary64))) (/.f64 (*.f64 y (*.f64 y (*.f64 y #s(literal 2/81 binary64)))) x)) x) (*.f64 y #s(literal 2/9 binary64))) x)) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* y (- (* 3/2 (/ x y)) 1/2))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y))))
(* y (- (* 3/2 (/ x y)) 1/2))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y))))
(* y (- (* 3/2 (/ x y)) 1/2))
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(*.f64 y (+.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))
(* y (+ 1/2 (* 3/2 (/ x y))))
(*.f64 y (+.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))
(* 1/2 y)
(*.f64 y #s(literal 1/2 binary64))
(* -1 (* y (- (* -3/2 (/ x y)) 1/2)))
(*.f64 y (+.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))
(* -1 (* y (- (* -3/2 (/ x y)) 1/2)))
(*.f64 y (+.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))
(* -1 (* y (- (* -3/2 (/ x y)) 1/2)))
(*.f64 y (+.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x y)) #s(literal 1/2 binary64)))
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)

eval117.0ms (1.4%)

Compiler

Compiled 14818 to 1756 computations (88.1% saved)

prune99.0ms (1.2%)

Pruning

14 alts after pruning (7 fresh and 7 done)

PrunedKeptTotal
New8577864
Fresh202
Picked325
Done156
Total86314877
Accuracy
100.0%
Counts
877 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(fma.f64 x #s(literal 3/2 binary64) (/.f64 y #s(literal -2 binary64)))
▶30.5%
(/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (*.f64 #s(literal 3/2 binary64) x))
▶50.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2/3 binary64) x))
✓99.9%
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
✓99.8%
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
▶43.9%
(+.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 y (/.f64 #s(literal 1 binary64) x))))
✓59.3%
(+.f64 x (*.f64 #s(literal -1/2 binary64) y))
28.9%
(*.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (/.f64 (*.f64 y y) #s(literal 4 binary64)))) (/.f64 #s(literal 9/4 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 y #s(literal 2 binary64)) (*.f64 x #s(literal 3/2 binary64))))))
51.0%
(*.f64 (*.f64 x #s(literal 9/4 binary64)) (/.f64 x (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))))
▶87.7%
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y))))
▶85.9%
(*.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) y) x)))
✓51.1%
(*.f64 #s(literal 3/2 binary64) x)
✓50.8%
(*.f64 #s(literal -1/2 binary64) y)
✓11.7%
x
Compiler

Compiled 240 to 174 computations (27.5% saved)

simplify238.0ms (2.9%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) y)
✓cost-diff128
(/.f64 y (/.f64 #s(literal 1 binary64) x))
✓cost-diff384
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
✓cost-diff512
(+.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 y (/.f64 #s(literal 1 binary64) x))))
✓cost-diff0
(*.f64 #s(literal 3/2 binary64) x)
✓cost-diff0
(*.f64 x #s(literal 9/4 binary64))
✓cost-diff0
(*.f64 x (*.f64 x #s(literal 9/4 binary64)))
✓cost-diff384
(/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (*.f64 #s(literal 3/2 binary64) x))
✓cost-diff0
(*.f64 #s(literal -1/2 binary64) y)
✓cost-diff0
(/.f64 (*.f64 #s(literal -1/2 binary64) y) x)
✓cost-diff0
(+.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) y) x))
✓cost-diff128
(*.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) y) x)))
✓cost-diff0
(/.f64 #s(literal 2/3 binary64) x)
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2/3 binary64) x))
✓cost-diff0
(/.f64 x y)
✓cost-diff0
(*.f64 #s(literal 3/2 binary64) (/.f64 x y))
✓cost-diff0
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y)))
✓cost-diff128
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y))))
Rules
4236×*-lowering-*.f32
4236×*-lowering-*.f64
3276×+-lowering-+.f64
3276×+-lowering-+.f32
2392×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
027106
17199
217899
339591
4118091
5450091
6602491
0807191
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* y (+ -1/2 (* 3/2 (/ x y))))
y
(+ -1/2 (* 3/2 (/ x y)))
-1/2
(* 3/2 (/ x y))
3/2
(/ x y)
x
(/ 1 (/ 2/3 x))
1
(/ 2/3 x)
2/3
x
(* x (+ 3/2 (/ (* -1/2 y) x)))
x
(+ 3/2 (/ (* -1/2 y) x))
3/2
(/ (* -1/2 y) x)
(* -1/2 y)
-1/2
y
(/ (* x (* x 9/4)) (* 3/2 x))
(* x (* x 9/4))
x
(* x 9/4)
9/4
(* 3/2 x)
3/2
(+ x (* (/ 1/2 y) (/ y (/ 1 x))))
x
(* (/ 1/2 y) (/ y (/ 1 x)))
(/ 1/2 y)
1/2
y
(/ y (/ 1 x))
(/ 1 x)
1
Outputs
(* y (+ -1/2 (* 3/2 (/ x y))))
(+.f64 (/.f64 x #s(literal 2/3 binary64)) (*.f64 y #s(literal -1/2 binary64)))
y
(+ -1/2 (* 3/2 (/ x y)))
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 3/2 binary64) (/.f64 y x)))
-1/2
#s(literal -1/2 binary64)
(* 3/2 (/ x y))
(/.f64 #s(literal 3/2 binary64) (/.f64 y x))
3/2
#s(literal 3/2 binary64)
(/ x y)
(/.f64 x y)
x
(/ 1 (/ 2/3 x))
(/.f64 x #s(literal 2/3 binary64))
1
#s(literal 1 binary64)
(/ 2/3 x)
(/.f64 #s(literal 2/3 binary64) x)
2/3
#s(literal 2/3 binary64)
x
(* x (+ 3/2 (/ (* -1/2 y) x)))
(+.f64 (/.f64 x #s(literal 2/3 binary64)) (*.f64 y #s(literal -1/2 binary64)))
x
(+ 3/2 (/ (* -1/2 y) x))
(+.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 y #s(literal -1/2 binary64)) x))
3/2
#s(literal 3/2 binary64)
(/ (* -1/2 y) x)
(/.f64 (*.f64 y #s(literal -1/2 binary64)) x)
(* -1/2 y)
(*.f64 y #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
y
(/ (* x (* x 9/4)) (* 3/2 x))
(/.f64 x #s(literal 2/3 binary64))
(* x (* x 9/4))
(*.f64 x (*.f64 x #s(literal 9/4 binary64)))
x
(* x 9/4)
(*.f64 x #s(literal 9/4 binary64))
9/4
#s(literal 9/4 binary64)
(* 3/2 x)
(/.f64 x #s(literal 2/3 binary64))
3/2
#s(literal 3/2 binary64)
(+ x (* (/ 1/2 y) (/ y (/ 1 x))))
(/.f64 x #s(literal 2/3 binary64))
x
(* (/ 1/2 y) (/ y (/ 1 x)))
(*.f64 x #s(literal 1/2 binary64))
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
1/2
#s(literal 1/2 binary64)
y
(/ y (/ 1 x))
(*.f64 y x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)

localize415.0ms (5.1%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 #s(literal 1/2 binary64) y)
✓accuracy100.0%
(+.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 y (/.f64 #s(literal 1 binary64) x))))
✓accuracy99.8%
(/.f64 y (/.f64 #s(literal 1 binary64) x))
✓accuracy88.3%
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 y (/.f64 #s(literal 1 binary64) x)))
✓accuracy100.0%
(*.f64 x #s(literal 9/4 binary64))
✓accuracy100.0%
(*.f64 #s(literal 3/2 binary64) x)
✓accuracy99.8%
(*.f64 x (*.f64 x #s(literal 9/4 binary64)))
✓accuracy67.2%
(/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (*.f64 #s(literal 3/2 binary64) x))
✓accuracy100.0%
(/.f64 (*.f64 #s(literal -1/2 binary64) y) x)
✓accuracy100.0%
(+.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) y) x))
✓accuracy100.0%
(*.f64 #s(literal -1/2 binary64) y)
✓accuracy89.4%
(*.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) y) x)))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2/3 binary64) x))
✓accuracy99.6%
(/.f64 #s(literal 2/3 binary64) x)
✓accuracy100.0%
(/.f64 x y)
✓accuracy100.0%
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y)))
✓accuracy99.7%
(*.f64 #s(literal 3/2 binary64) (/.f64 x y))
✓accuracy91.6%
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y))))
Results
291.0ms92×5exit
66.0ms164×0valid
Compiler

Compiled 128 to 28 computations (78.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 190.0ms
ival-div: 54.0ms (28.4% of total)
...c/correct-round.rkt:119:19: 44.0ms (23.2% of total)
ival-mult: 39.0ms (20.5% of total)
backward-pass: 31.0ms (16.3% of total)
ival-add: 20.0ms (10.5% of total)
const: 2.0ms (1.1% of total)

series12.0ms (0.2%)

Counts
18 → 336
Calls
Call 1
Inputs
#<alt (* y (+ -1/2 (* 3/2 (/ x y))))>
#<alt (+ -1/2 (* 3/2 (/ x y)))>
#<alt (* 3/2 (/ x y))>
#<alt (/ x y)>
#<alt (/ 1 (/ 2/3 x))>
#<alt (/ 2/3 x)>
#<alt (* x (+ 3/2 (/ (* -1/2 y) x)))>
#<alt (+ 3/2 (/ (* -1/2 y) x))>
#<alt (/ (* -1/2 y) x)>
#<alt (* -1/2 y)>
#<alt (/ (* x (* x 9/4)) (* 3/2 x))>
#<alt (* x (* x 9/4))>
#<alt (* x 9/4)>
#<alt (* 3/2 x)>
#<alt (+ x (* (/ 1/2 y) (/ y (/ 1 x))))>
#<alt (* (/ 1/2 y) (/ y (/ 1 x)))>
#<alt (/ y (/ 1 x))>
#<alt (/ 1/2 y)>
Outputs
#<alt (* 3/2 x)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (* -1/2 y)>
#<alt (* y (- (* 3/2 (/ x y)) 1/2))>
#<alt (* y (- (* 3/2 (/ x y)) 1/2))>
#<alt (* y (- (* 3/2 (/ x y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (* 3/2 x)>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* 3/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt -1/2>
#<alt (- (* 3/2 (/ x y)) 1/2)>
#<alt (- (* 3/2 (/ x y)) 1/2)>
#<alt (- (* 3/2 (/ x y)) 1/2)>
#<alt (* 3/2 (/ x y))>
#<alt (* x (- (* 3/2 (/ 1 y)) (* 1/2 (/ 1 x))))>
#<alt (* x (- (* 3/2 (/ 1 y)) (* 1/2 (/ 1 x))))>
#<alt (* x (- (* 3/2 (/ 1 y)) (* 1/2 (/ 1 x))))>
#<alt (* 3/2 (/ x y))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) (* 3/2 (/ 1 y)))))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) (* 3/2 (/ 1 y)))))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) (* 3/2 (/ 1 y)))))>
#<alt (* 3/2 (/ x y))>
#<alt (/ (+ (* -1/2 y) (* 3/2 x)) y)>
#<alt (/ (+ (* -1/2 y) (* 3/2 x)) y)>
#<alt (/ (+ (* -1/2 y) (* 3/2 x)) y)>
#<alt -1/2>
#<alt (- (* 3/2 (/ x y)) 1/2)>
#<alt (- (* 3/2 (/ x y)) 1/2)>
#<alt (- (* 3/2 (/ x y)) 1/2)>
#<alt -1/2>
#<alt (- (* 3/2 (/ x y)) 1/2)>
#<alt (- (* 3/2 (/ x y)) 1/2)>
#<alt (- (* 3/2 (/ x y)) 1/2)>
#<alt (* 3/2 (/ x y))>
#<alt (* 3/2 (/ x y))>
#<alt (* 3/2 (/ x y))>
#<alt (* 3/2 (/ x y))>
#<alt (* 3/2 (/ x y))>
#<alt (* 3/2 (/ x y))>
#<alt (* 3/2 (/ x y))>
#<alt (* 3/2 (/ x y))>
#<alt (* 3/2 (/ x y))>
#<alt (* 3/2 (/ x y))>
#<alt (* 3/2 (/ x y))>
#<alt (* 3/2 (/ x y))>
#<alt (* 3/2 (/ x y))>
#<alt (* 3/2 (/ x y))>
#<alt (* 3/2 (/ x y))>
#<alt (* 3/2 (/ x y))>
#<alt (* 3/2 (/ x y))>
#<alt (* 3/2 (/ x y))>
#<alt (* 3/2 (/ x y))>
#<alt (* 3/2 (/ x y))>
#<alt (* 3/2 (/ x y))>
#<alt (* 3/2 (/ x y))>
#<alt (* 3/2 (/ x y))>
#<alt (* 3/2 (/ x y))>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (/ 2/3 x)>
#<alt (/ 2/3 x)>
#<alt (/ 2/3 x)>
#<alt (/ 2/3 x)>
#<alt (/ 2/3 x)>
#<alt (/ 2/3 x)>
#<alt (/ 2/3 x)>
#<alt (/ 2/3 x)>
#<alt (/ 2/3 x)>
#<alt (/ 2/3 x)>
#<alt (/ 2/3 x)>
#<alt (/ 2/3 x)>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (* 3/2 x)>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* x (+ 3/2 (* -1/2 (/ y x))))>
#<alt (* 3/2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* -1 (* x (- (* 1/2 (/ y x)) 3/2)))>
#<alt (* 3/2 x)>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (+ (* -1/2 y) (* 3/2 x))>
#<alt (* -1/2 y)>
#<alt (* y (- (* 3/2 (/ x y)) 1/2))>
#<alt (* y (- (* 3/2 (/ x y)) 1/2))>
#<alt (* y (- (* 3/2 (/ x y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))>
#<alt (* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))>
#<alt 3/2>
#<alt (+ 3/2 (* -1/2 (/ y x)))>
#<alt (+ 3/2 (* -1/2 (/ y x)))>
#<alt (+ 3/2 (* -1/2 (/ y x)))>
#<alt (* -1/2 (/ y x))>
#<alt (* y (- (* 3/2 (/ 1 y)) (* 1/2 (/ 1 x))))>
#<alt (* y (- (* 3/2 (/ 1 y)) (* 1/2 (/ 1 x))))>
#<alt (* y (- (* 3/2 (/ 1 y)) (* 1/2 (/ 1 x))))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1 (* y (- (* 1/2 (/ 1 x)) (* 3/2 (/ 1 y)))))>
#<alt (* -1 (* y (- (* 1/2 (/ 1 x)) (* 3/2 (/ 1 y)))))>
#<alt (* -1 (* y (- (* 1/2 (/ 1 x)) (* 3/2 (/ 1 y)))))>
#<alt (* -1/2 (/ y x))>
#<alt (/ (+ (* -1/2 y) (* 3/2 x)) x)>
#<alt (/ (+ (* -1/2 y) (* 3/2 x)) x)>
#<alt (/ (+ (* -1/2 y) (* 3/2 x)) x)>
#<alt 3/2>
#<alt (+ 3/2 (* -1/2 (/ y x)))>
#<alt (+ 3/2 (* -1/2 (/ y x)))>
#<alt (+ 3/2 (* -1/2 (/ y x)))>
#<alt 3/2>
#<alt (+ 3/2 (* -1/2 (/ y x)))>
#<alt (+ 3/2 (* -1/2 (/ y x)))>
#<alt (+ 3/2 (* -1/2 (/ y x)))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 (/ y x))>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 (pow x 2))>
#<alt (* 9/4 x)>
#<alt (* 9/4 x)>
#<alt (* 9/4 x)>
#<alt (* 9/4 x)>
#<alt (* 9/4 x)>
#<alt (* 9/4 x)>
#<alt (* 9/4 x)>
#<alt (* 9/4 x)>
#<alt (* 9/4 x)>
#<alt (* 9/4 x)>
#<alt (* 9/4 x)>
#<alt (* 9/4 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (* 3/2 x)>
#<alt (+ x (* 1/2 x))>
#<alt (+ x (* 1/2 x))>
#<alt (+ x (* 1/2 x))>
#<alt (+ x (* 1/2 x))>
#<alt (+ x (* 1/2 x))>
#<alt (+ x (* 1/2 x))>
#<alt (+ x (* 1/2 x))>
#<alt (+ x (* 1/2 x))>
#<alt (+ x (* 1/2 x))>
#<alt (+ x (* 1/2 x))>
#<alt (+ x (* 1/2 x))>
#<alt (+ x (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
#<alt (/ 1/2 y)>
Calls

84 calls:

TimeVariablePointExpression
0.0ms
y
@-inf
(* y (+ -1/2 (* 3/2 (/ x y))))
0.0ms
x
@0
(* x (+ 3/2 (/ (* -1/2 y) x)))
0.0ms
y
@0
(* x (+ 3/2 (/ (* -1/2 y) x)))
0.0ms
y
@inf
(* x (+ 3/2 (/ (* -1/2 y) x)))
0.0ms
x
@-inf
(* x (+ 3/2 (/ (* -1/2 y) x)))

rewrite479.0ms (5.9%)

Algorithm
1×batch-egg-rewrite
Rules
3874×*-lowering-*.f32
3874×*-lowering-*.f64
3804×/-lowering-/.f32
3804×/-lowering-/.f64
1676×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02786
116279
2131675
0873975
Stop Event
1×iter limit
1×node limit
Counts
18 → 2382
Calls
Call 1
Inputs
(* y (+ -1/2 (* 3/2 (/ x y))))
(+ -1/2 (* 3/2 (/ x y)))
(* 3/2 (/ x y))
(/ x y)
(/ 1 (/ 2/3 x))
(/ 2/3 x)
(* x (+ 3/2 (/ (* -1/2 y) x)))
(+ 3/2 (/ (* -1/2 y) x))
(/ (* -1/2 y) x)
(* -1/2 y)
(/ (* x (* x 9/4)) (* 3/2 x))
(* x (* x 9/4))
(* x 9/4)
(* 3/2 x)
(+ x (* (/ 1/2 y) (/ y (/ 1 x))))
(* (/ 1/2 y) (/ y (/ 1 x)))
(/ y (/ 1 x))
(/ 1/2 y)
Outputs
(+.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 (*.f64 y (/.f64 x #s(literal 2/3 binary64))) y))
(+.f64 (/.f64 (*.f64 y (/.f64 x #s(literal 2/3 binary64))) y) (*.f64 y #s(literal -1/2 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y #s(literal -1/2 binary64))) (-.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 (*.f64 y (/.f64 x #s(literal 2/3 binary64))) y))) (/.f64 (*.f64 (/.f64 (*.f64 y (/.f64 x #s(literal 2/3 binary64))) y) (/.f64 (*.f64 y (/.f64 x #s(literal 2/3 binary64))) y)) (-.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 (*.f64 y (/.f64 x #s(literal 2/3 binary64))) y))))
(fma.f64 y #s(literal -1/2 binary64) (/.f64 (*.f64 y (/.f64 x #s(literal 2/3 binary64))) y))
(fma.f64 y (/.f64 #s(literal 3/2 binary64) (/.f64 y x)) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) y (/.f64 (*.f64 y (/.f64 x #s(literal 2/3 binary64))) y))
(fma.f64 #s(literal 3/2 binary64) (/.f64 y (/.f64 y x)) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (/.f64 x y) (*.f64 #s(literal 3/2 binary64) y) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (/.f64 #s(literal 3/2 binary64) (/.f64 y x)) y (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (*.f64 y #s(literal 3/2 binary64)) (/.f64 x y) (*.f64 y #s(literal -1/2 binary64)))
(fma.f64 (*.f64 y (/.f64 x y)) #s(literal 3/2 binary64) (*.f64 y #s(literal -1/2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y))) (*.f64 (/.f64 #s(literal 27/8 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y #s(literal -1/2 binary64))) (-.f64 (*.f64 (/.f64 (*.f64 y (/.f64 x #s(literal 2/3 binary64))) y) (/.f64 (*.f64 y (/.f64 x #s(literal 2/3 binary64))) y)) (*.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 (*.f64 y (/.f64 x #s(literal 2/3 binary64))) y)))))
(/.f64 (-.f64 (*.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y #s(literal -1/2 binary64))) (*.f64 (/.f64 (*.f64 y (/.f64 x #s(literal 2/3 binary64))) y) (/.f64 (*.f64 y (/.f64 x #s(literal 2/3 binary64))) y))) (-.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 (*.f64 y (/.f64 x #s(literal 2/3 binary64))) y)))
(/.f64 (*.f64 y (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 27/8 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 3/2 binary64) (/.f64 y x)) (-.f64 (/.f64 #s(literal 3/2 binary64) (/.f64 y x)) #s(literal -1/2 binary64)))))
(/.f64 (*.f64 y (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 9/4 binary64) (*.f64 (/.f64 x y) (/.f64 x y))))) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 x y))))
(/.f64 (*.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 27/8 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))) y) (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 3/2 binary64) (/.f64 y x)) (-.f64 (/.f64 #s(literal 3/2 binary64) (/.f64 y x)) #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 9/4 binary64) (*.f64 (/.f64 x y) (/.f64 x y)))) y) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 x y))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y))) (*.f64 (/.f64 #s(literal 27/8 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))) (*.f64 y (*.f64 y y))))) (neg.f64 (+.f64 (*.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y #s(literal -1/2 binary64))) (-.f64 (*.f64 (/.f64 (*.f64 y (/.f64 x #s(literal 2/3 binary64))) y) (/.f64 (*.f64 y (/.f64 x #s(literal 2/3 binary64))) y)) (*.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 (*.f64 y (/.f64 x #s(literal 2/3 binary64))) y))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y #s(literal -1/2 binary64))) (*.f64 (/.f64 (*.f64 y (/.f64 x #s(literal 2/3 binary64))) y) (/.f64 (*.f64 y (/.f64 x #s(literal 2/3 binary64))) y)))) (neg.f64 (-.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 (*.f64 y (/.f64 x #s(literal 2/3 binary64))) y))))
(/.f64 (neg.f64 (*.f64 y (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 27/8 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 3/2 binary64) (/.f64 y x)) (-.f64 (/.f64 #s(literal 3/2 binary64) (/.f64 y x)) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (*.f64 y (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 9/4 binary64) (*.f64 (/.f64 x y) (/.f64 x y)))))) (neg.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 x y)))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 27/8 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))) y)) (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 3/2 binary64) (/.f64 y x)) (-.f64 (/.f64 #s(literal 3/2 binary64) (/.f64 y x)) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 9/4 binary64) (*.f64 (/.f64 x y) (/.f64 x y)))) y)) (neg.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 x y)))))
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 27/8 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))) (*.f64 y (*.f64 y y))) (*.f64 #s(literal -1/8 binary64) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 (/.f64 (*.f64 y (/.f64 x #s(literal 2/3 binary64))) y) (/.f64 (*.f64 y (/.f64 x #s(literal 2/3 binary64))) y)) (-.f64 (*.f64 (*.f64 y #s(literal -1/2 binary64)) (*.f64 y #s(literal -1/2 binary64))) (*.f64 (/.f64 (*.f64 y (/.f64 x #s(literal 2/3 binary64))) y) (*.f64 y #s(literal -1/2 binary64))))))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 3/2 binary64) (/.f64 y x))))
(*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 3/2 binary64) (/.f64 y x))) y)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 3/2 binary64) (/.f64 y x)))
(+.f64 (/.f64 #s(literal 3/2 binary64) (/.f64 y x)) #s(literal -1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 x y)))) (/.f64 (*.f64 #s(literal 9/4 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 x y)))))
(-.f64 (/.f64 (*.f64 #s(literal 9/4 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) (-.f64 (/.f64 #s(literal 3/2 binary64) (/.f64 y x)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 #s(literal 3/2 binary64) (/.f64 y x)) #s(literal -1/2 binary64))))
(fma.f64 #s(literal 3/2 binary64) (/.f64 x y) #s(literal -1/2 binary64))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 3/2 binary64)) #s(literal -1/2 binary64))
(fma.f64 x (/.f64 #s(literal 3/2 binary64) y) #s(literal -1/2 binary64))
(fma.f64 (/.f64 x y) #s(literal 3/2 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) (/.f64 y x)) #s(literal -1/2 binary64))
(fma.f64 (/.f64 x #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 3/2 binary64) (/.f64 y x)) (-.f64 (/.f64 #s(literal 3/2 binary64) (/.f64 y x)) #s(literal -1/2 binary64)))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 27/8 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 x y))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 9/4 binary64) (*.f64 (/.f64 x y) (/.f64 x y))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 3/2 binary64) (/.f64 y x)) (-.f64 (/.f64 #s(literal 3/2 binary64) (/.f64 y x)) #s(literal -1/2 binary64)))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 27/8 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 x y))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 9/4 binary64) (*.f64 (/.f64 x y) (/.f64 x y)))))))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 27/8 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 3/2 binary64) (/.f64 y x)) (-.f64 (/.f64 #s(literal 3/2 binary64) (/.f64 y x)) #s(literal -1/2 binary64)))))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 27/8 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 #s(literal 9/4 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -3/4 binary64) (/.f64 x y)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 9/4 binary64) (*.f64 (/.f64 x y) (/.f64 x y)))) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 x y))))
(/.f64 (neg.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 27/8 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 3/2 binary64) (/.f64 y x)) (-.f64 (/.f64 #s(literal 3/2 binary64) (/.f64 y x)) #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 27/8 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))))) (neg.f64 (+.f64 (*.f64 #s(literal 9/4 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -3/4 binary64) (/.f64 x y))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 9/4 binary64) (*.f64 (/.f64 x y) (/.f64 x y))))) (neg.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 x y)))))
(/.f64 (-.f64 (*.f64 #s(literal 9/4 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1/4 binary64)) (-.f64 (/.f64 #s(literal 3/2 binary64) (/.f64 y x)) #s(literal -1/2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 x y)))) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 x y))) (*.f64 #s(literal 9/4 binary64) (*.f64 (/.f64 x y) (/.f64 x y))))) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 x y))) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 x y)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 27/8 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 3/2 binary64) (/.f64 y x)) (-.f64 (/.f64 #s(literal 3/2 binary64) (/.f64 y x)) #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 9/4 binary64) (*.f64 (/.f64 x y) (/.f64 x y)))))) (neg.f64 (neg.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 x y))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9/4 binary64) (*.f64 (/.f64 x y) (/.f64 x y))) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) (/.f64 y x)) #s(literal -1/2 binary64))))
(pow.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 3/2 binary64) (/.f64 y x)) (-.f64 (/.f64 #s(literal 3/2 binary64) (/.f64 y x)) #s(literal -1/2 binary64)))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 27/8 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 x y))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 9/4 binary64) (*.f64 (/.f64 x y) (/.f64 x y))))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 27/8 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 3/2 binary64) (/.f64 y x)) (-.f64 (/.f64 #s(literal 3/2 binary64) (/.f64 y x)) #s(literal -1/2 binary64))))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 9/4 binary64) (*.f64 (/.f64 x y) (/.f64 x y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 x y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 (/.f64 x #s(literal 2/3 binary64)) (-.f64 #s(literal 0 binary64) y)))
(/.f64 #s(literal 3/2 binary64) (/.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x #s(literal 2/3 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y (/.f64 #s(literal -2/3 binary64) x))))
(/.f64 (/.f64 x #s(literal 2/3 binary64)) y)
(/.f64 (/.f64 x #s(literal 2/3 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(/.f64 #s(literal -1 binary64) (*.f64 y (/.f64 #s(literal -2/3 binary64) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (/.f64 x #s(literal 2/3 binary64)))))
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(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 y (/.f64 y x)) #s(literal 1/2 binary64))
(*.f64 (/.f64 y y) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (/.f64 y y) (/.f64 x #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) y) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) y) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))
(*.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 x #s(literal 2/3 binary64)) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))))
(*.f64 (/.f64 (/.f64 x #s(literal 2/3 binary64)) (*.f64 (/.f64 x #s(literal 2/3 binary64)) (*.f64 x #s(literal 1/2 binary64)))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (/.f64 y (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (*.f64 y (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (/.f64 y #s(literal -1 binary64)) y) (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) y)) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) x)) y)
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 y (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (*.f64 y x) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 y (/.f64 #s(literal -1 binary64) x)))
(neg.f64 (/.f64 y (/.f64 #s(literal -1 binary64) x)))
(/.f64 y (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)))))
(/.f64 (*.f64 y x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (*.f64 y x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y))) (/.f64 #s(literal -1 binary64) x))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 y x)
(*.f64 x y)
(*.f64 #s(literal 1 binary64) (*.f64 y x))
(*.f64 (*.f64 y x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) x)))
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 y #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) y))
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) y))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 y #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 #s(literal 1/2 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y #s(literal 1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(pow.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))

simplify259.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
2398×fma-lowering-fma.f32
2398×fma-lowering-fma.f64
2150×fmsub-define
1960×fnmsub-define
1940×fmm-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0521362
11371332
23701332
39301332
425031332
558831332
082441332
Stop Event
1×iter limit
1×node limit
Counts
336 → 336
Calls
Call 1
Inputs
(* 3/2 x)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* -1/2 y)
(* y (- (* 3/2 (/ x y)) 1/2))
(* y (- (* 3/2 (/ x y)) 1/2))
(* y (- (* 3/2 (/ x y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* 3/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
-1/2
(- (* 3/2 (/ x y)) 1/2)
(- (* 3/2 (/ x y)) 1/2)
(- (* 3/2 (/ x y)) 1/2)
(* 3/2 (/ x y))
(* x (- (* 3/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(* x (- (* 3/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(* x (- (* 3/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(* 3/2 (/ x y))
(* -1 (* x (- (* 1/2 (/ 1 x)) (* 3/2 (/ 1 y)))))
(* -1 (* x (- (* 1/2 (/ 1 x)) (* 3/2 (/ 1 y)))))
(* -1 (* x (- (* 1/2 (/ 1 x)) (* 3/2 (/ 1 y)))))
(* 3/2 (/ x y))
(/ (+ (* -1/2 y) (* 3/2 x)) y)
(/ (+ (* -1/2 y) (* 3/2 x)) y)
(/ (+ (* -1/2 y) (* 3/2 x)) y)
-1/2
(- (* 3/2 (/ x y)) 1/2)
(- (* 3/2 (/ x y)) 1/2)
(- (* 3/2 (/ x y)) 1/2)
-1/2
(- (* 3/2 (/ x y)) 1/2)
(- (* 3/2 (/ x y)) 1/2)
(- (* 3/2 (/ x y)) 1/2)
(* 3/2 (/ x y))
(* 3/2 (/ x y))
(* 3/2 (/ x y))
(* 3/2 (/ x y))
(* 3/2 (/ x y))
(* 3/2 (/ x y))
(* 3/2 (/ x y))
(* 3/2 (/ x y))
(* 3/2 (/ x y))
(* 3/2 (/ x y))
(* 3/2 (/ x y))
(* 3/2 (/ x y))
(* 3/2 (/ x y))
(* 3/2 (/ x y))
(* 3/2 (/ x y))
(* 3/2 (/ x y))
(* 3/2 (/ x y))
(* 3/2 (/ x y))
(* 3/2 (/ x y))
(* 3/2 (/ x y))
(* 3/2 (/ x y))
(* 3/2 (/ x y))
(* 3/2 (/ x y))
(* 3/2 (/ x y))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(/ 2/3 x)
(/ 2/3 x)
(/ 2/3 x)
(/ 2/3 x)
(/ 2/3 x)
(/ 2/3 x)
(/ 2/3 x)
(/ 2/3 x)
(/ 2/3 x)
(/ 2/3 x)
(/ 2/3 x)
(/ 2/3 x)
(* -1/2 y)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* 3/2 x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* x (+ 3/2 (* -1/2 (/ y x))))
(* 3/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(* 3/2 x)
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(+ (* -1/2 y) (* 3/2 x))
(* -1/2 y)
(* y (- (* 3/2 (/ x y)) 1/2))
(* y (- (* 3/2 (/ x y)) 1/2))
(* y (- (* 3/2 (/ x y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
3/2
(+ 3/2 (* -1/2 (/ y x)))
(+ 3/2 (* -1/2 (/ y x)))
(+ 3/2 (* -1/2 (/ y x)))
(* -1/2 (/ y x))
(* y (- (* 3/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(* y (- (* 3/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(* y (- (* 3/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(* -1/2 (/ y x))
(* -1 (* y (- (* 1/2 (/ 1 x)) (* 3/2 (/ 1 y)))))
(* -1 (* y (- (* 1/2 (/ 1 x)) (* 3/2 (/ 1 y)))))
(* -1 (* y (- (* 1/2 (/ 1 x)) (* 3/2 (/ 1 y)))))
(* -1/2 (/ y x))
(/ (+ (* -1/2 y) (* 3/2 x)) x)
(/ (+ (* -1/2 y) (* 3/2 x)) x)
(/ (+ (* -1/2 y) (* 3/2 x)) x)
3/2
(+ 3/2 (* -1/2 (/ y x)))
(+ 3/2 (* -1/2 (/ y x)))
(+ 3/2 (* -1/2 (/ y x)))
3/2
(+ 3/2 (* -1/2 (/ y x)))
(+ 3/2 (* -1/2 (/ y x)))
(+ 3/2 (* -1/2 (/ y x)))
(* -1/2 (/ y x))
(* -1/2 (/ y x))
(* -1/2 (/ y x))
(* -1/2 (/ y x))
(* -1/2 (/ y x))
(* -1/2 (/ y x))
(* -1/2 (/ y x))
(* -1/2 (/ y x))
(* -1/2 (/ y x))
(* -1/2 (/ y x))
(* -1/2 (/ y x))
(* -1/2 (/ y x))
(* -1/2 (/ y x))
(* -1/2 (/ y x))
(* -1/2 (/ y x))
(* -1/2 (/ y x))
(* -1/2 (/ y x))
(* -1/2 (/ y x))
(* -1/2 (/ y x))
(* -1/2 (/ y x))
(* -1/2 (/ y x))
(* -1/2 (/ y x))
(* -1/2 (/ y x))
(* -1/2 (/ y x))
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 (pow x 2))
(* 9/4 x)
(* 9/4 x)
(* 9/4 x)
(* 9/4 x)
(* 9/4 x)
(* 9/4 x)
(* 9/4 x)
(* 9/4 x)
(* 9/4 x)
(* 9/4 x)
(* 9/4 x)
(* 9/4 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(* 3/2 x)
(+ x (* 1/2 x))
(+ x (* 1/2 x))
(+ x (* 1/2 x))
(+ x (* 1/2 x))
(+ x (* 1/2 x))
(+ x (* 1/2 x))
(+ x (* 1/2 x))
(+ x (* 1/2 x))
(+ x (* 1/2 x))
(+ x (* 1/2 x))
(+ x (* 1/2 x))
(+ x (* 1/2 x))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
Outputs
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* y (- (* 3/2 (/ x y)) 1/2))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))
(* y (- (* 3/2 (/ x y)) 1/2))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))
(* y (- (* 3/2 (/ x y)) 1/2))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))
(* -1 (* y (+ 1/2 (* -3/2 (/ x y)))))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))
(+ (* -1/2 y) (* 3/2 x))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* x (+ 3/2 (* -1/2 (/ y x))))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))
(* x (+ 3/2 (* -1/2 (/ y x))))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))
(* x (+ 3/2 (* -1/2 (/ y x))))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))
(* 3/2 x)
(*.f64 #s(literal 3/2 binary64) x)
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))
(* -1 (* x (- (* 1/2 (/ y x)) 3/2)))
(+.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 #s(literal -1/2 binary64) y))
-1/2
#s(literal -1/2 binary64)
(- (* 3/2 (/ x y)) 1/2)
(-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 x y)))
(- (* 3/2 (/ x y)) 1/2)
(-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 x y)))
(- (* 3/2 (/ x y)) 1/2)
(-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 x y)))
(* 3/2 (/ x y))
(/.f64 (*.f64 #s(literal 3/2 binary64) x) y)
(* x (- (* 3/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 x y)))
(* x (- (* 3/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 x y)))
(* x (- (* 3/2 (/ 1 y)) (* 1/2 (/ 1 x))))
(-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 x y)))
(* 3/2 (/ x y))
(/.f64 (*.f64 #s(literal 3/2 binary64) x) y)
(* -1 (* x (- (* 1/2 (/ 1 x)) (* 3/2 (/ 1 y)))))
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(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)
(/ 1/2 y)
(/.f64 #s(literal 1/2 binary64) y)

eval377.0ms (4.7%)

Compiler

Compiled 51177 to 3865 computations (92.4% saved)

prune243.0ms (3%)

Pruning

12 alts after pruning (5 fresh and 7 done)

PrunedKeptTotal
New271352718
Fresh202
Picked415
Done167
Total2720122732
Accuracy
100.0%
Counts
2732 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.0%
(/.f64 (*.f64 x #s(literal 9/4 binary64)) #s(literal 3/2 binary64))
51.0%
(/.f64 x #s(literal 2/3 binary64))
51.0%
(/.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) x))
50.9%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))
✓99.9%
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
✓99.8%
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
✓59.3%
(+.f64 x (*.f64 #s(literal -1/2 binary64) y))
87.7%
(*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 3/2 binary64) (/.f64 y x))) y)
✓85.9%
(*.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) y) x)))
✓51.1%
(*.f64 #s(literal 3/2 binary64) x)
✓50.8%
(*.f64 #s(literal -1/2 binary64) y)
✓11.7%
x
Compiler

Compiled 424 to 175 computations (58.7% saved)

regimes30.0ms (0.4%)

Counts
29 → 1
Calls
Call 1
Inputs
x
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal 3/2 binary64) x)
(/.f64 x #s(literal 2/3 binary64))
(+.f64 x (*.f64 #s(literal -1/2 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2/3 binary64) x))
(/.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x #s(literal 9/4 binary64)) #s(literal 3/2 binary64))
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))
(*.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) y) x)))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y))))
(*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 3/2 binary64) (/.f64 y x))) y)
(/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (*.f64 #s(literal 3/2 binary64) x))
(+.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 y (/.f64 #s(literal 1 binary64) x))))
(+.f64 x (/.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) (/.f64 #s(literal -4 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))))
(*.f64 (*.f64 x #s(literal 9/4 binary64)) (/.f64 x (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))))
(+.f64 x (/.f64 (+.f64 (*.f64 x (/.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) y)))
(/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (/.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 #s(literal 3/2 binary64) x))
(+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 y y)))) (+.f64 x y)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (/.f64 (*.f64 y y) #s(literal 4 binary64))) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))))
(/.f64 (-.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x x)) (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x))
(*.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (/.f64 (*.f64 y y) #s(literal 4 binary64)))) (/.f64 #s(literal 9/4 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 y #s(literal 2 binary64)) (*.f64 x #s(literal 3/2 binary64))))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64))) (+.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (/.f64 (-.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))) (/.f64 #s(literal -2 binary64) y))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) #s(literal 8 binary64))) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x) (/.f64 #s(literal 2 binary64) (-.f64 x y)))))
(fma.f64 x #s(literal 3/2 binary64) (/.f64 y #s(literal -2 binary64)))
Outputs
(fma.f64 x #s(literal 3/2 binary64) (/.f64 y #s(literal -2 binary64)))
Calls

3 calls:

9.0ms
x
9.0ms
y
9.0ms
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes26.0ms (0.3%)

Counts
28 → 1
Calls
Call 1
Inputs
x
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal 3/2 binary64) x)
(/.f64 x #s(literal 2/3 binary64))
(+.f64 x (*.f64 #s(literal -1/2 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2/3 binary64) x))
(/.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x #s(literal 9/4 binary64)) #s(literal 3/2 binary64))
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))
(*.f64 x (+.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) y) x)))
(*.f64 y (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 x y))))
(*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 3/2 binary64) (/.f64 y x))) y)
(/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (*.f64 #s(literal 3/2 binary64) x))
(+.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 y (/.f64 #s(literal 1 binary64) x))))
(+.f64 x (/.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)) (/.f64 #s(literal -4 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))))
(*.f64 (*.f64 x #s(literal 9/4 binary64)) (/.f64 x (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64)))))
(+.f64 x (/.f64 (+.f64 (*.f64 x (/.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) y)))
(/.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (/.f64 (*.f64 y y) #s(literal 4 binary64))) (*.f64 #s(literal 3/2 binary64) x))
(+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (*.f64 x x) (*.f64 y y)))) (+.f64 x y)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (/.f64 (*.f64 y y) #s(literal 4 binary64))) (+.f64 (*.f64 x #s(literal 3/2 binary64)) (/.f64 y #s(literal 2 binary64))))
(/.f64 (-.f64 (/.f64 (-.f64 x y) (/.f64 #s(literal 4 binary64) (-.f64 x y))) (*.f64 x x)) (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x))
(*.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x #s(literal 9/4 binary64))) (/.f64 (*.f64 y y) #s(literal 4 binary64)))) (/.f64 #s(literal 9/4 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (/.f64 y #s(literal 2 binary64)) (*.f64 x #s(literal 3/2 binary64))))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27/8 binary64)) (/.f64 (*.f64 y (*.f64 y y)) #s(literal 8 binary64))) (+.f64 (*.f64 (*.f64 x x) #s(literal 9/4 binary64)) (/.f64 (-.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64))) (/.f64 #s(literal -2 binary64) y))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (-.f64 x y) (*.f64 (-.f64 x y) (-.f64 x y))) #s(literal 8 binary64))) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) x) (/.f64 #s(literal 2 binary64) (-.f64 x y)))))
Outputs
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
Calls

3 calls:

9.0ms
y
8.0ms
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
8.0ms
x
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes12.0ms (0.2%)

Counts
9 → 1
Calls
Call 1
Inputs
x
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal 3/2 binary64) x)
(/.f64 x #s(literal 2/3 binary64))
(+.f64 x (*.f64 #s(literal -1/2 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2/3 binary64) x))
(/.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x #s(literal 9/4 binary64)) #s(literal 3/2 binary64))
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
Outputs
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
Calls

3 calls:

5.0ms
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts
8 → 3
Calls
Call 1
Inputs
x
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal 3/2 binary64) x)
(/.f64 x #s(literal 2/3 binary64))
(+.f64 x (*.f64 #s(literal -1/2 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2/3 binary64) x))
(/.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x #s(literal 9/4 binary64)) #s(literal 3/2 binary64))
Outputs
(*.f64 #s(literal 3/2 binary64) x)
(+.f64 x (*.f64 #s(literal -1/2 binary64) y))
(*.f64 #s(literal 3/2 binary64) x)
Calls

2 calls:

3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
81.5%3x
80.6%3y
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts
4 → 3
Calls
Call 1
Inputs
x
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal 3/2 binary64) x)
(/.f64 x #s(literal 2/3 binary64))
Outputs
(*.f64 #s(literal 3/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal 3/2 binary64) x)
Calls

2 calls:

4.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
78.8%3y
80.1%3x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

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

2 calls:

2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
50.8%1y
52.6%2x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

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
x
1.0ms
y
Results
AccuracySegmentsBranch
11.7%1y
11.7%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch48.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
12.0ms
1.2231998273175024e+31
6.5193314968631644e+35
34.0ms
-3.013483748349875e-93
-2.617403794309478e-100
Results
35.0ms264×0valid
1.0ms3×2valid
0.0ms2×3valid
0.0ms3×1valid
Compiler

Compiled 252 to 197 computations (21.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-add: 23.0ms (82.9% of total)
ival-div: 2.0ms (7.2% of total)
ival-sub: 2.0ms (7.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch37.0ms (0.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
11.0ms
1.2231998273175024e+31
6.5193314968631644e+35
23.0ms
-3.013483748349875e-93
-2.617403794309478e-100
Results
14.0ms265×0valid
1.0ms5×2valid
0.0ms2×1valid
Compiler

Compiled 218 to 180 computations (17.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (31.9% of total)
ival-sub: 2.0ms (31.9% of total)
ival-add: 1.0ms (15.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch24.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
22.0ms
1.4058335923735263e+171
5.0523314095340566e+196
Results
8.0ms151×0valid
5.0ms7×1valid
3.0ms11×3valid
1.0ms7×2valid
Compiler

Compiled 124 to 98 computations (21% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (36.3% of total)
ival-sub: 1.0ms (18.2% of total)
backward-pass: 1.0ms (18.2% of total)
ival-add: 1.0ms (18.2% of total)
const: 0.0ms (0% of total)

simplify11.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
10×+-commutative_binary64
6×*-commutative_binary64
4×sub-neg_binary64
4×if-if-or-not_binary32
2×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03161
14561
25061
35261
45361
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 x #s(literal 3/2 binary64) (/.f64 y #s(literal -2 binary64)))
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
(if (<=.f64 x #s(literal -1761406937080375/587135645693458306972370149197334256843920637227079967676822742883052256278652110865924749596192175757983744 binary64)) (*.f64 #s(literal 3/2 binary64) x) (if (<=.f64 x #s(literal 17500000000000000488718423031808 binary64)) (+.f64 x (*.f64 #s(literal -1/2 binary64) y)) (*.f64 #s(literal 3/2 binary64) x)))
(if (<=.f64 x #s(literal -3053105357605983/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 binary64)) (*.f64 #s(literal 3/2 binary64) x) (if (<=.f64 x #s(literal 16000000000000000318153997418496 binary64)) (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x)))
(if (<=.f64 x #s(literal 64999999999999997672362611045333053687143103704166339909816066246623694722435817534743304044624039847149835354249216289741584053182075804895720715988618218780953040287701139456 binary64)) (*.f64 #s(literal -1/2 binary64) y) x)
x
Outputs
(fma.f64 x #s(literal 3/2 binary64) (/.f64 y #s(literal -2 binary64)))
(+.f64 (/.f64 y #s(literal -2 binary64)) (*.f64 x #s(literal 3/2 binary64)))
(+.f64 x (/.f64 (-.f64 x y) #s(literal 2 binary64)))
(if (<=.f64 x #s(literal -1761406937080375/587135645693458306972370149197334256843920637227079967676822742883052256278652110865924749596192175757983744 binary64)) (*.f64 #s(literal 3/2 binary64) x) (if (<=.f64 x #s(literal 17500000000000000488718423031808 binary64)) (+.f64 x (*.f64 #s(literal -1/2 binary64) y)) (*.f64 #s(literal 3/2 binary64) x)))
(if (<=.f64 x #s(literal -1761406937080375/587135645693458306972370149197334256843920637227079967676822742883052256278652110865924749596192175757983744 binary64)) (*.f64 x #s(literal 3/2 binary64)) (if (<=.f64 x #s(literal 17500000000000000488718423031808 binary64)) (+.f64 x (*.f64 y #s(literal -1/2 binary64))) (*.f64 x #s(literal 3/2 binary64))))
(if (<=.f64 x #s(literal -3053105357605983/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 binary64)) (*.f64 #s(literal 3/2 binary64) x) (if (<=.f64 x #s(literal 16000000000000000318153997418496 binary64)) (*.f64 #s(literal -1/2 binary64) y) (*.f64 #s(literal 3/2 binary64) x)))
(if (<=.f64 x #s(literal -3053105357605983/1174271291386916613944740298394668513687841274454159935353645485766104512557304221731849499192384351515967488 binary64)) (*.f64 x #s(literal 3/2 binary64)) (if (<=.f64 x #s(literal 16000000000000000318153997418496 binary64)) (*.f64 y #s(literal -1/2 binary64)) (*.f64 x #s(literal 3/2 binary64))))
(if (<=.f64 x #s(literal 64999999999999997672362611045333053687143103704166339909816066246623694722435817534743304044624039847149835354249216289741584053182075804895720715988618218780953040287701139456 binary64)) (*.f64 #s(literal -1/2 binary64) y) x)
(if (<=.f64 x #s(literal 64999999999999997672362611045333053687143103704166339909816066246623694722435817534743304044624039847149835354249216289741584053182075804895720715988618218780953040287701139456 binary64)) (*.f64 y #s(literal -1/2 binary64)) x)
x

soundness1.2s (14.3%)

Rules
4726×*-lowering-*.f32
4726×*-lowering-*.f64
3668×/-lowering-/.f32
3668×/-lowering-/.f64
3132×*-lowering-*.f32
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
066513
1210513
2629513
31850495
45615495
08183495
01101377
13421278
29951278
329821260
476071260
082021260
01128
17026
266726
0862226
067
1127
2237
3467
4927
52277
66547
712006
820876
926566
1028066
028066
Stop Event
1×fuel
1×iter limit
1×saturated
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 140 to 85 computations (39.3% saved)

preprocess67.0ms (0.8%)

Compiler

Compiled 170 to 86 computations (49.4% saved)

end0.0ms (0%)

Profiling

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