Statistics.Sample:$skurtosis from math-functions-0.1.5.2

Time bar (total: 4.8s)

analyze20.0ms (0.4%)

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

Compiled 10 to 7 computations (30% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 3.0ms (41.4% of total)
ival-mult: 3.0ms (41.4% of total)
ival-sub: 1.0ms (13.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample727.0ms (15%)

Results
500.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 213.0ms
ival-mult: 82.0ms (38.6% of total)
ival-div: 64.0ms (30.1% of total)
ival-sub: 51.0ms (24% of total)
const: 13.0ms (6.1% of total)
backward-pass: 3.0ms (1.4% of total)
Bogosity

preprocess69.0ms (1.4%)

Algorithm
2×egg-herbie
Rules
1232×fnmadd-define
856×fmsub-define
848×sum3-define
808×fnmsub-define
730×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01840
15038
212136
332736
489436
5204536
6325736
7394136
8405136
9415036
10421036
11423836
066
1126
2136
0136
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(- (/ x (* y y)) 3)
Outputs
(- (/ x (* y y)) 3)
(+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))
Call 2
Inputs
(- (/ x (* y y)) 3)
(- (/ (neg x) (* y y)) 3)
(- (/ x (* (neg y) (neg y))) 3)
(neg (- (/ (neg x) (* y y)) 3))
(neg (- (/ x (* (neg y) (neg y))) 3))
(- (/ y (* x x)) 3)
Outputs
(- (/ x (* y y)) 3)
(fmsub x (square (recip y)) 3)
(- (/ (neg x) (* y y)) 3)
(fnmsub x (square (recip y)) 3)
(- (/ x (* (neg y) (neg y))) 3)
(fmsub x (square (recip y)) 3)
(neg (- (/ (neg x) (* y y)) 3))
(fmsub x (square (recip y)) -3)
(neg (- (/ x (* (neg y) (neg y))) 3))
(fnmsub x (square (recip y)) -3)
(- (/ y (* x x)) 3)
(+ (/ y (square x)) -3)
Symmetry

(abs y)

explain83.0ms (1.7%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
340-1(2.578773326857505e-49 1.6593171455312226e-161)(/.f64 x (*.f64 y y))
00-0-x
00-0-(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
00-0-(*.f64 y y)
00-0-#s(literal 3 binary64)
00-0-y
Results
45.0ms512×0valid
Compiler

Compiled 51 to 20 computations (60.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 5.0ms (41.2% of total)
ival-div: 4.0ms (33% of total)
ival-sub: 3.0ms (24.7% of total)
const: 1.0ms (8.2% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶92.0%
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
▶99.9%
(+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))
Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify4.0ms (0.1%)

Algorithm
1×egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 y y)
✓cost-diff0
(/.f64 x (*.f64 y y))
✓cost-diff0
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
✓cost-diff0
(/.f64 x y)
✓cost-diff0
(/.f64 (/.f64 x y) y)
✓cost-diff0
(+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))
Rules
6×/-lowering-/.f32
6×/-lowering-/.f64
4×+-lowering-+.f64
4×+-lowering-+.f32
2×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01031
11431
01431
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (/ (/ x y) y) -3)
(/ (/ x y) y)
(/ x y)
x
y
-3
(- (/ x (* y y)) 3)
(/ x (* y y))
x
(* y y)
y
3
Outputs
(+ (/ (/ x y) y) -3)
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))
(/ (/ x y) y)
(/.f64 x (*.f64 y y))
(/ x y)
(/.f64 x y)
x
y
-3
#s(literal -3 binary64)
(- (/ x (* y y)) 3)
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))
(/ x (* y y))
(/.f64 x (*.f64 y y))
x
(* y y)
(*.f64 y y)
y
3
#s(literal 3 binary64)

localize49.0ms (1%)

Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
✓accuracy100.0%
(*.f64 y y)
✓accuracy87.8%
(/.f64 x (*.f64 y y))
✓accuracy100.0%
(/.f64 x y)
✓accuracy100.0%
(+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))
✓accuracy99.8%
(/.f64 (/.f64 x y) y)
Results
38.0ms256×0valid
Compiler

Compiled 39 to 11 computations (71.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-div: 10.0ms (66.4% of total)
ival-mult: 2.0ms (13.3% of total)
ival-sub: 1.0ms (6.6% of total)
ival-add: 1.0ms (6.6% of total)
const: 1.0ms (6.6% of total)
backward-pass: 0.0ms (0% of total)

series9.0ms (0.2%)

Counts
6 → 132
Calls
Call 1
Inputs
#<alt (+ (/ (/ x y) y) -3)>
#<alt (/ (/ x y) y)>
#<alt (/ x y)>
#<alt (- (/ x (* y y)) 3)>
#<alt (/ x (* y y))>
#<alt (* y y)>
Outputs
#<alt -3>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (/ x (pow y 2))>
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))>
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))>
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))>
#<alt (/ x (pow y 2))>
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))>
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))>
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))>
#<alt (/ x (pow y 2))>
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))>
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))>
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))>
#<alt -3>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt -3>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt -3>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (/ x (pow y 2))>
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))>
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))>
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))>
#<alt (/ x (pow y 2))>
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))>
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))>
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))>
#<alt (/ x (pow y 2))>
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))>
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))>
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))>
#<alt -3>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt -3>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
Calls

33 calls:

TimeVariablePointExpression
2.0ms
y
@inf
(* y y)
1.0ms
y
@inf
(/ x y)
1.0ms
x
@inf
(+ (/ (/ x y) y) -3)
0.0ms
x
@0
(+ (/ (/ x y) y) -3)
0.0ms
x
@inf
(/ x y)

rewrite255.0ms (5.3%)

Algorithm
1×batch-egg-rewrite
Rules
3202×*-lowering-*.f32
3202×*-lowering-*.f64
2228×/-lowering-/.f32
2228×/-lowering-/.f64
788×fnmadd-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01025
16725
251825
3719325
0803025
Stop Event
1×iter limit
1×node limit
Counts
6 → 244
Calls
Call 1
Inputs
(+ (/ (/ x y) y) -3)
(/ (/ x y) y)
(/ x y)
(- (/ x (* y y)) 3)
(/ x (* y y))
(* y y)
Outputs
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(+.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (+.f64 #s(literal 9 binary64) (/.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (/.f64 y (/.f64 x y))))) (neg.f64 (/.f64 #s(literal 27 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (/.f64 y (/.f64 x y)))))))
(+.f64 (/.f64 (/.f64 x y) (*.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (/.f64 (*.f64 y (*.f64 y y)) x))) (neg.f64 (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))))
(-.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) (-.f64 #s(literal 0 binary64) y)))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (+.f64 #s(literal 9 binary64) (/.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (/.f64 y (/.f64 x y))))) (/.f64 #s(literal 27 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (/.f64 y (/.f64 x y))))))
(-.f64 (/.f64 (/.f64 x y) (*.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (/.f64 (*.f64 y (*.f64 y y)) x))) (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))))
(-.f64 (/.f64 #s(literal 9 binary64) (-.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))) (/.f64 (/.f64 (/.f64 x y) (/.f64 (*.f64 y (*.f64 y y)) x)) (-.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))))
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal -3 binary64))
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) y) y) #s(literal -3 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y) #s(literal -3 binary64))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x #s(literal -3 binary64))
(neg.f64 (/.f64 (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (/.f64 y (/.f64 x y)))))))
(neg.f64 (/.f64 (+.f64 (/.f64 (/.f64 x y) (/.f64 (*.f64 y (*.f64 y y)) x)) #s(literal -9 binary64)) (-.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))))
(neg.f64 (/.f64 (+.f64 #s(literal 27 binary64) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))))) (+.f64 #s(literal 9 binary64) (/.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (/.f64 y (/.f64 x y))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (/.f64 x y) (/.f64 (*.f64 y (*.f64 y y)) x)) #s(literal -9 binary64))) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))))
(/.f64 (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (+.f64 #s(literal 9 binary64) (/.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (/.f64 y (/.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))) (-.f64 #s(literal 9 binary64) (/.f64 (/.f64 x y) (/.f64 (*.f64 y (*.f64 y y)) x)))))
(/.f64 (+.f64 (/.f64 (/.f64 x y) (/.f64 (*.f64 y (*.f64 y y)) x)) #s(literal -9 binary64)) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))))))
(/.f64 (+.f64 #s(literal 27 binary64) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (/.f64 y (/.f64 x y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (/.f64 x y) (/.f64 (*.f64 y (*.f64 y y)) x)) #s(literal -9 binary64))) (-.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))))
(/.f64 (+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 x (*.f64 x x))))) #s(literal -19683 binary64)) (*.f64 (+.f64 #s(literal 9 binary64) (/.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (/.f64 y (/.f64 x y)))) (+.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 729 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -27 binary64)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))))))
(/.f64 (+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 x (*.f64 x x))))) #s(literal -19683 binary64)) (*.f64 (+.f64 #s(literal 9 binary64) (/.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (/.f64 y (/.f64 x y)))) (+.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 729 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))))))
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(/.f64 (*.f64 (+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 x (*.f64 x x))))) #s(literal -19683 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (/.f64 y (/.f64 x y)))))) (+.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 729 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))))))
(/.f64 (*.f64 (+.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 x (*.f64 x x)))) #s(literal -729 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (/.f64 y (/.f64 x y)))))) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal 27 binary64)))
(/.f64 (*.f64 (+.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 x (*.f64 x x)))) #s(literal -729 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))) (+.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 y (/.f64 x y))) (+.f64 #s(literal 81 binary64) (/.f64 (*.f64 (/.f64 x y) #s(literal 9 binary64)) (/.f64 (*.f64 y (*.f64 y y)) x)))))
(/.f64 (*.f64 (+.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 y (/.f64 x y))) #s(literal -81 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))) (+.f64 #s(literal 9 binary64) (/.f64 (/.f64 x y) (/.f64 (*.f64 y (*.f64 y y)) x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (/.f64 y (/.f64 x y))))))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))))
(*.f64 (+.f64 (/.f64 (/.f64 x y) (/.f64 (*.f64 y (*.f64 y y)) x)) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))))
(*.f64 (+.f64 #s(literal 27 binary64) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (/.f64 y (/.f64 x y)))))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (/.f64 x y) (/.f64 (*.f64 y (*.f64 y y)) x)) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (/.f64 y (/.f64 x y))))) (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) (+.f64 (/.f64 (/.f64 x y) (/.f64 (*.f64 y (*.f64 y y)) x)) #s(literal -9 binary64)))
(*.f64 (-.f64 #s(literal 9 binary64) (/.f64 (/.f64 x y) (/.f64 (*.f64 y (*.f64 y y)) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))))
(*.f64 (/.f64 (+.f64 (/.f64 (/.f64 x y) (/.f64 (*.f64 y (*.f64 y y)) x)) #s(literal -9 binary64)) (+.f64 (/.f64 (/.f64 x y) (/.f64 (*.f64 y (*.f64 y y)) x)) #s(literal -9 binary64))) (+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))))
(*.f64 (/.f64 (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (+.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 9 binary64) (*.f64 x (/.f64 (/.f64 #s(literal 3 binary64) y) y))) (*.f64 (+.f64 #s(literal 9 binary64) (*.f64 x (/.f64 (/.f64 #s(literal 3 binary64) y) y))) (+.f64 #s(literal 9 binary64) (*.f64 x (/.f64 (/.f64 #s(literal 3 binary64) y) y))))))) (+.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 y (/.f64 x y))) (*.f64 (+.f64 #s(literal 9 binary64) (*.f64 x (/.f64 (/.f64 #s(literal 3 binary64) y) y))) (-.f64 (+.f64 #s(literal 9 binary64) (*.f64 x (/.f64 (/.f64 #s(literal 3 binary64) y) y))) (/.f64 (/.f64 x y) (/.f64 (*.f64 y (*.f64 y y)) x))))))
(*.f64 (/.f64 (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 (+.f64 #s(literal 9 binary64) (/.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (/.f64 y (/.f64 x y)))) (-.f64 (/.f64 (/.f64 x y) (/.f64 (*.f64 y (*.f64 y y)) x)) (+.f64 #s(literal 9 binary64) (*.f64 x (/.f64 (/.f64 #s(literal 3 binary64) y) y)))))) (-.f64 (/.f64 (/.f64 x y) (/.f64 (*.f64 y (*.f64 y y)) x)) (+.f64 #s(literal 9 binary64) (*.f64 x (/.f64 (/.f64 #s(literal 3 binary64) y) y)))))
(*.f64 (/.f64 (+.f64 (/.f64 (/.f64 x y) (/.f64 (*.f64 y (*.f64 y y)) x)) #s(literal -9 binary64)) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal 27 binary64))) (+.f64 (/.f64 (/.f64 x y) (/.f64 (*.f64 y (*.f64 y y)) x)) (-.f64 #s(literal 9 binary64) (*.f64 x (/.f64 (/.f64 #s(literal 3 binary64) y) y)))))
(exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 x y) (-.f64 #s(literal 0 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 (/.f64 x y) (-.f64 #s(literal 0 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (/.f64 (/.f64 x y) (-.f64 #s(literal 0 binary64) y)))
(neg.f64 (/.f64 (/.f64 x y) (-.f64 #s(literal 0 binary64) y)))
(neg.f64 (*.f64 (/.f64 (/.f64 x y) (-.f64 #s(literal 0 binary64) y)) #s(literal 1 binary64)))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) (/.f64 x y))))
(/.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 y x)))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (*.f64 y y))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -1 binary64)) y)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 y x)))
(pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1 binary64))
(*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) y))
(*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) y) y))
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 x y) (-.f64 #s(literal 0 binary64) y)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 x y)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) y) y))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) y))
(*.f64 (pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 x y))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(/.f64 (*.f64 y y) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) y))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(*.f64 y y)
(*.f64 (*.f64 y y) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) y))
(*.f64 #s(literal 1 binary64) (*.f64 y y))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1 binary64)) y)

simplify143.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
1876×fnmadd-define
1640×fma-define
1398×fmsub-define
1276×fma-lowering-fma.f32
1276×fma-lowering-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022636
148534
2112534
3281534
4634534
51123534
62003534
73275534
85549534
97349534
08100534
Stop Event
1×iter limit
1×node limit
Counts
132 → 132
Calls
Call 1
Inputs
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(/ x (pow y 2))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(/ x (pow y 2))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(/ x (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(/ x (pow y 2))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(/ x (pow y 2))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(/ x (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
Outputs
-3
#s(literal -3 binary64)
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
-3
#s(literal -3 binary64)
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
-3
#s(literal -3 binary64)
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
-3
#s(literal -3 binary64)
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
-3
#s(literal -3 binary64)
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
-3
#s(literal -3 binary64)
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)

eval45.0ms (0.9%)

Compiler

Compiled 8010 to 470 computations (94.1% saved)

prune66.0ms (1.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New3715376
Fresh000
Picked022
Done000
Total3717378
Accuracy
100.0%
Counts
378 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶43.0%
(/.f64 x (*.f64 y y))
▶99.8%
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #s(literal 3 binary64))
✓92.0%
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
▶99.9%
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y))) #s(literal 3 binary64))
✓99.9%
(+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))
▶99.9%
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) y) #s(literal -3 binary64))
▶50.2%
#s(literal -3 binary64)
Compiler

Compiled 104 to 74 computations (28.8% saved)

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 y x)
✓cost-diff0
(/.f64 #s(literal 1 binary64) y)
✓cost-diff0
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #s(literal 3 binary64))
✓cost-diff128
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
✓cost-diff0
(/.f64 y x)
✓cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) y)
✓cost-diff0
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) y) #s(literal -3 binary64))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 y x))
✓cost-diff0
(*.f64 y y)
✓cost-diff0
(/.f64 x (*.f64 y y))
✓cost-diff0
(/.f64 x y)
✓cost-diff0
(/.f64 y (/.f64 x y))
✓cost-diff0
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y))) #s(literal 3 binary64))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
Rules
40×*-lowering-*.f32
40×*-lowering-*.f64
36×/-lowering-/.f32
36×/-lowering-/.f64
28×fmsub-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01884
13676
25169
36269
49769
512669
012669
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(- (/ 1 (/ y (/ x y))) 3)
(/ 1 (/ y (/ x y)))
1
(/ y (/ x y))
y
(/ x y)
x
3
-3
(/ x (* y y))
x
(* y y)
y
(+ (/ (/ 1 (/ y x)) y) -3)
(/ (/ 1 (/ y x)) y)
(/ 1 (/ y x))
1
(/ y x)
y
x
-3
(- (/ (/ 1 y) (/ y x)) 3)
(/ (/ 1 y) (/ y x))
(/ 1 y)
1
y
(/ y x)
x
3
Outputs
(- (/ 1 (/ y (/ x y))) 3)
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))
(/ 1 (/ y (/ x y)))
(/.f64 x (*.f64 y y))
1
#s(literal 1 binary64)
(/ y (/ x y))
(/.f64 y (/.f64 x y))
y
(/ x y)
(/.f64 x y)
x
3
#s(literal 3 binary64)
-3
#s(literal -3 binary64)
(/ x (* y y))
(/.f64 x (*.f64 y y))
x
(* y y)
(*.f64 y y)
y
(+ (/ (/ 1 (/ y x)) y) -3)
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))
(/ (/ 1 (/ y x)) y)
(/.f64 x (*.f64 y y))
(/ 1 (/ y x))
(/.f64 x y)
1
#s(literal 1 binary64)
(/ y x)
(/.f64 y x)
y
x
-3
#s(literal -3 binary64)
(- (/ (/ 1 y) (/ y x)) 3)
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))
(/ (/ 1 y) (/ y x))
(/.f64 x (*.f64 y y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y
(/ y x)
(/.f64 y x)
x
3
#s(literal 3 binary64)

localize148.0ms (3.1%)

Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 y x)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
✓accuracy100.0%
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #s(literal 3 binary64))
✓accuracy99.7%
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
✓accuracy100.0%
(/.f64 y x)
✓accuracy100.0%
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) y) #s(literal -3 binary64))
✓accuracy99.8%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) y)
✓accuracy99.5%
(/.f64 #s(literal 1 binary64) (/.f64 y x))
✓accuracy100.0%
(*.f64 y y)
✓accuracy87.8%
(/.f64 x (*.f64 y y))
✓accuracy100.0%
(/.f64 x y)
✓accuracy100.0%
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y))) #s(literal 3 binary64))
✓accuracy99.6%
(/.f64 y (/.f64 x y))
✓accuracy99.3%
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
Results
92.0ms256×0valid
Compiler

Compiled 96 to 19 computations (80.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-div: 16.0ms (72% of total)
ival-sub: 3.0ms (13.5% of total)
ival-mult: 2.0ms (9% of total)
ival-add: 1.0ms (4.5% of total)
const: 1.0ms (4.5% of total)
backward-pass: 0.0ms (0% of total)

series6.0ms (0.1%)

Counts
13 → 288
Calls
Call 1
Inputs
#<alt (/ 1 (/ y (/ x y)))>
#<alt (- (/ 1 (/ y (/ x y))) 3)>
#<alt (/ y (/ x y))>
#<alt (/ x y)>
#<alt (/ x (* y y))>
#<alt (* y y)>
#<alt (/ 1 (/ y x))>
#<alt (+ (/ (/ 1 (/ y x)) y) -3)>
#<alt (/ (/ 1 (/ y x)) y)>
#<alt (/ y x)>
#<alt (/ (/ 1 y) (/ y x))>
#<alt (- (/ (/ 1 y) (/ y x)) 3)>
#<alt (/ 1 y)>
Outputs
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))>
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))>
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))>
#<alt -3>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt -3>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt -3>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (/ x (pow y 2))>
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))>
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))>
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))>
#<alt (/ x (pow y 2))>
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))>
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))>
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 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 (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x (pow y 2))>
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))>
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))>
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))>
#<alt -3>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt -3>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt -3>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (/ x (pow y 2))>
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))>
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))>
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))>
#<alt (/ x (pow y 2))>
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))>
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))>
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))>
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))>
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))>
#<alt -3>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt -3>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt -3>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (/ x (pow y 2))>
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))>
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))>
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))>
#<alt (/ x (pow y 2))>
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))>
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))>
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
Calls

72 calls:

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

rewrite380.0ms (7.9%)

Algorithm
1×batch-egg-rewrite
Rules
6288×*-lowering-*.f32
6288×*-lowering-*.f64
3738×/-lowering-/.f32
3738×/-lowering-/.f64
1914×--lowering--.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01852
112951
2106251
0841451
Stop Event
1×iter limit
1×node limit
Counts
13 → 509
Calls
Call 1
Inputs
(/ 1 (/ y (/ x y)))
(- (/ 1 (/ y (/ x y))) 3)
(/ y (/ x y))
(/ x y)
(/ x (* y y))
(* y y)
(/ 1 (/ y x))
(+ (/ (/ 1 (/ y x)) y) -3)
(/ (/ 1 (/ y x)) y)
(/ y x)
(/ (/ 1 y) (/ y x))
(- (/ (/ 1 y) (/ y x)) 3)
(/ 1 y)
Outputs
(exp.f64 (log.f64 (/.f64 x (*.f64 y y))))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)) (*.f64 (log.f64 y) #s(literal -1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 y) #s(literal -1 binary64)) (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 y x))))
(neg.f64 (/.f64 x (*.f64 y (-.f64 #s(literal 0 binary64) y))))
(neg.f64 (/.f64 (/.f64 x y) (-.f64 #s(literal 0 binary64) y)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (/.f64 x y))))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 y x)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 y y)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) y))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 (/.f64 x y) (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
(/.f64 #s(literal -1 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) (/.f64 x y))))
(/.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 y x)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 y (-.f64 #s(literal 0 binary64) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 y y))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 y (-.f64 #s(literal 0 binary64) y)))
(/.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 y y))
(/.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 y (-.f64 #s(literal 0 binary64) y)))
(/.f64 (*.f64 (/.f64 x y) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 y x)))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 y y))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (*.f64 y (-.f64 #s(literal 0 binary64) y)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (*.f64 y y))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (neg.f64 (*.f64 y (-.f64 #s(literal 0 binary64) y))))
(pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(pow.f64 (*.f64 (/.f64 y (/.f64 x y)) (/.f64 y (/.f64 x y))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y y)))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) (/.f64 x y)))))
(*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 x y)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 0 binary64) y))))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 x y))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 0 binary64) y))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 x y)))
(*.f64 (pow.f64 (/.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 x y)))
(*.f64 (pow.f64 (/.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 (/.f64 x y) (*.f64 (/.f64 y x) (*.f64 y y))) (+.f64 #s(literal 9 binary64) (/.f64 (*.f64 (/.f64 x y) #s(literal 3 binary64)) y)))) (/.f64 #s(literal 27 binary64) (+.f64 (/.f64 (/.f64 x y) (*.f64 (/.f64 y x) (*.f64 y y))) (+.f64 #s(literal 9 binary64) (/.f64 (*.f64 (/.f64 x y) #s(literal 3 binary64)) y)))))
(-.f64 (/.f64 (/.f64 (/.f64 x y) (*.f64 (/.f64 y x) (*.f64 y y))) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64))
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64))
(fma.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64) #s(literal -3 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y) #s(literal -3 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) (/.f64 x y)))) #s(literal -3 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal -3 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 0 binary64) y))) #s(literal -3 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x #s(literal -3 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64))
(fma.f64 (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1/2 binary64)) #s(literal -3 binary64))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 x y) #s(literal -3 binary64))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) x) #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 (/.f64 x y) #s(literal -3 binary64)) y)) (/.f64 (/.f64 x y) (*.f64 (/.f64 y x) (*.f64 y y)))) (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 x y) (*.f64 (/.f64 y x) (*.f64 y y))) (+.f64 #s(literal 9 binary64) (/.f64 (*.f64 (/.f64 x y) #s(literal 3 binary64)) y))) (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (+.f64 (/.f64 (/.f64 x y) (*.f64 (/.f64 y x) (*.f64 y y))) #s(literal -9 binary64))))
(/.f64 (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (+.f64 (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 (/.f64 x y) #s(literal -3 binary64)) y)) (/.f64 (/.f64 x y) (*.f64 (/.f64 y x) (*.f64 y y)))))
(/.f64 (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (+.f64 (/.f64 (/.f64 x y) (*.f64 (/.f64 y x) (*.f64 y y))) (+.f64 #s(literal 9 binary64) (/.f64 (*.f64 (/.f64 x y) #s(literal 3 binary64)) y))))
(/.f64 (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (+.f64 #s(literal 9 binary64) (/.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (/.f64 y (/.f64 x y)))))
(/.f64 (+.f64 (/.f64 (/.f64 x y) (*.f64 (/.f64 y x) (*.f64 y y))) #s(literal -9 binary64)) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) (neg.f64 (+.f64 (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 (/.f64 x y) #s(literal -3 binary64)) y)) (/.f64 (/.f64 x y) (*.f64 (/.f64 y x) (*.f64 y y))))))
(/.f64 (neg.f64 (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) (neg.f64 (+.f64 (/.f64 (/.f64 x y) (*.f64 (/.f64 y x) (*.f64 y y))) (+.f64 #s(literal 9 binary64) (/.f64 (*.f64 (/.f64 x y) #s(literal 3 binary64)) y)))))
(/.f64 (neg.f64 (+.f64 (/.f64 (/.f64 x y) (*.f64 (/.f64 y x) (*.f64 y y))) #s(literal -9 binary64))) (neg.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))))
(/.f64 (-.f64 #s(literal 9 binary64) (/.f64 (/.f64 x y) (*.f64 (/.f64 y x) (*.f64 y y)))) (-.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 (/.f64 x y) (*.f64 (/.f64 y x) (*.f64 y y))) (+.f64 #s(literal 9 binary64) (/.f64 (*.f64 (/.f64 x y) #s(literal 3 binary64)) y)))) (*.f64 (+.f64 (/.f64 (/.f64 x y) (*.f64 (/.f64 y x) (*.f64 y y))) (+.f64 #s(literal 9 binary64) (/.f64 (*.f64 (/.f64 x y) #s(literal 3 binary64)) y))) #s(literal 27 binary64))) (*.f64 (+.f64 (/.f64 (/.f64 x y) (*.f64 (/.f64 y x) (*.f64 y y))) (+.f64 #s(literal 9 binary64) (/.f64 (*.f64 (/.f64 x y) #s(literal 3 binary64)) y))) (+.f64 (/.f64 (/.f64 x y) (*.f64 (/.f64 y x) (*.f64 y y))) (+.f64 #s(literal 9 binary64) (/.f64 (*.f64 (/.f64 x y) #s(literal 3 binary64)) y)))))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 x y) (*.f64 (/.f64 y x) (*.f64 y y))) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) (*.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #s(literal 9 binary64))) (*.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))))
(pow.f64 (/.f64 (+.f64 (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 (/.f64 x y) #s(literal -3 binary64)) y)) (/.f64 (/.f64 x y) (*.f64 (/.f64 y x) (*.f64 y y)))) (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 (/.f64 x y) (*.f64 (/.f64 y x) (*.f64 y y))) (+.f64 #s(literal 9 binary64) (/.f64 (*.f64 (/.f64 x y) #s(literal 3 binary64)) y))) (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (+.f64 (/.f64 (/.f64 x y) (*.f64 (/.f64 y x) (*.f64 y y))) #s(literal -9 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 (/.f64 x y) #s(literal -3 binary64)) y)) (/.f64 (/.f64 x y) (*.f64 (/.f64 y x) (*.f64 y y))))))
(*.f64 (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 x y) (*.f64 (/.f64 y x) (*.f64 y y))) (+.f64 #s(literal 9 binary64) (/.f64 (*.f64 (/.f64 x y) #s(literal 3 binary64)) y)))))
(*.f64 (+.f64 (/.f64 (/.f64 x y) (*.f64 (/.f64 y x) (*.f64 y y))) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))))
(exp.f64 (log.f64 (/.f64 y (/.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 y y))) #s(literal -1 binary64)))
(neg.f64 (/.f64 y (-.f64 #s(literal 0 binary64) (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64)))
(/.f64 y (/.f64 x y))
(/.f64 (/.f64 y (/.f64 x y)) #s(literal 1 binary64))
(/.f64 (*.f64 y y) x)
(/.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 y y))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) (/.f64 #s(literal -1 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 x y)))
(/.f64 (/.f64 y (-.f64 #s(literal 0 binary64) (/.f64 x y))) #s(literal -1 binary64))
(/.f64 (*.f64 y (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y)) (/.f64 x y))
(/.f64 (/.f64 y (/.f64 #s(literal 1 binary64) y)) x)
(/.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 x y))
(pow.f64 (/.f64 y (/.f64 x y)) #s(literal 1 binary64))
(pow.f64 (/.f64 x (*.f64 y y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
(*.f64 y (/.f64 y x))
(*.f64 (/.f64 y (/.f64 x y)) #s(literal 1 binary64))
(*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 y y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 y x) y)
(*.f64 #s(literal -1 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) (/.f64 x y))))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y (-.f64 #s(literal 0 binary64) (/.f64 x y))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) (/.f64 x y)))) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) (-.f64 #s(literal 0 binary64) y))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 y x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y y))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 y (-.f64 #s(literal 0 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 0 binary64) y))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 0 binary64) (/.f64 y x)))
(*.f64 (/.f64 y #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 y x)))
(*.f64 (/.f64 (/.f64 y x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 y y))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (*.f64 y y))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) (pow.f64 (*.f64 y (-.f64 #s(literal 0 binary64) y)) #s(literal 1 binary64)))
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(/.f64 (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (+.f64 #s(literal 9 binary64) (/.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (/.f64 y (/.f64 x y)))))
(/.f64 (+.f64 (/.f64 (/.f64 x y) (*.f64 (/.f64 y x) (*.f64 y y))) #s(literal -9 binary64)) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) (neg.f64 (+.f64 (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 (/.f64 x y) #s(literal -3 binary64)) y)) (/.f64 (/.f64 x y) (*.f64 (/.f64 y x) (*.f64 y y))))))
(/.f64 (neg.f64 (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) (neg.f64 (+.f64 (/.f64 (/.f64 x y) (*.f64 (/.f64 y x) (*.f64 y y))) (+.f64 #s(literal 9 binary64) (/.f64 (*.f64 (/.f64 x y) #s(literal 3 binary64)) y)))))
(/.f64 (neg.f64 (+.f64 (/.f64 (/.f64 x y) (*.f64 (/.f64 y x) (*.f64 y y))) #s(literal -9 binary64))) (neg.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))))
(/.f64 (-.f64 #s(literal 9 binary64) (/.f64 (/.f64 x y) (*.f64 (/.f64 y x) (*.f64 y y)))) (-.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 (/.f64 x y) (*.f64 (/.f64 y x) (*.f64 y y))) (+.f64 #s(literal 9 binary64) (/.f64 (*.f64 (/.f64 x y) #s(literal 3 binary64)) y)))) (*.f64 (+.f64 (/.f64 (/.f64 x y) (*.f64 (/.f64 y x) (*.f64 y y))) (+.f64 #s(literal 9 binary64) (/.f64 (*.f64 (/.f64 x y) #s(literal 3 binary64)) y))) #s(literal 27 binary64))) (*.f64 (+.f64 (/.f64 (/.f64 x y) (*.f64 (/.f64 y x) (*.f64 y y))) (+.f64 #s(literal 9 binary64) (/.f64 (*.f64 (/.f64 x y) #s(literal 3 binary64)) y))) (+.f64 (/.f64 (/.f64 x y) (*.f64 (/.f64 y x) (*.f64 y y))) (+.f64 #s(literal 9 binary64) (/.f64 (*.f64 (/.f64 x y) #s(literal 3 binary64)) y)))))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 x y) (*.f64 (/.f64 y x) (*.f64 y y))) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) (*.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #s(literal 9 binary64))) (*.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))))
(pow.f64 (/.f64 (+.f64 (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 (/.f64 x y) #s(literal -3 binary64)) y)) (/.f64 (/.f64 x y) (*.f64 (/.f64 y x) (*.f64 y y)))) (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 (/.f64 x y) (*.f64 (/.f64 y x) (*.f64 y y))) (+.f64 #s(literal 9 binary64) (/.f64 (*.f64 (/.f64 x y) #s(literal 3 binary64)) y))) (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (+.f64 (/.f64 (/.f64 x y) (*.f64 (/.f64 y x) (*.f64 y y))) #s(literal -9 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 (/.f64 x y) #s(literal -3 binary64)) y)) (/.f64 (/.f64 x y) (*.f64 (/.f64 y x) (*.f64 y y))))))
(*.f64 (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 x y) (*.f64 (/.f64 y x) (*.f64 y y))) (+.f64 #s(literal 9 binary64) (/.f64 (*.f64 (/.f64 x y) #s(literal 3 binary64)) y)))))
(*.f64 (+.f64 (/.f64 (/.f64 x y) (*.f64 (/.f64 y x) (*.f64 y y))) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 y) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) y))
(pow.f64 y #s(literal -1 binary64))
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y)) #s(literal -1 binary64))
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)))

simplify158.0ms (3.3%)

Algorithm
1×egg-herbie
Rules
1894×fnmadd-define
1578×sum3-define
1556×fma-define
1292×fmsub-define
1108×fmm-def
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
0251524
1521221
21161221
32861221
46411221
511491221
621861221
737231113
865801113
979801113
080431113
Stop Event
1×iter limit
1×node limit
Counts
288 → 288
Calls
Call 1
Inputs
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(/ x (pow y 2))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(/ x (pow y 2))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(/ x (pow y 2))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(/ x (pow y 2))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ 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)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(/ x (pow y 2))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(/ x (pow y 2))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
Outputs
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
-3
#s(literal -3 binary64)
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
-3
#s(literal -3 binary64)
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
-3
#s(literal -3 binary64)
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ 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)
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
-3
#s(literal -3 binary64)
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
-3
#s(literal -3 binary64)
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
-3
#s(literal -3 binary64)
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
-3
#s(literal -3 binary64)
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
-3
#s(literal -3 binary64)
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
-3
#s(literal -3 binary64)
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)

eval150.0ms (3.1%)

Compiler

Compiled 10308 to 975 computations (90.5% saved)

prune177.0ms (3.6%)

Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New8564860
Fresh000
Picked325
Done022
Total8598867
Accuracy
100.0%
Counts
867 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶50.9%
(/.f64 (/.f64 x y) y)
▶50.9%
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
✓43.0%
(/.f64 x (*.f64 y y))
▶50.9%
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
✓92.0%
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
✓99.9%
(+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))
▶50.9%
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
✓50.2%
#s(literal -3 binary64)
Compiler

Compiled 62 to 41 computations (33.9% saved)

simplify6.0ms (0.1%)

Algorithm
1×egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 x y)
✓cost-diff0
(/.f64 (/.f64 x y) y)
✓cost-diff0
(/.f64 y x)
✓cost-diff0
(/.f64 #s(literal 1 binary64) y)
✓cost-diff128
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
✓cost-diff0
(/.f64 x y)
✓cost-diff0
(/.f64 y (/.f64 x y))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) y)
✓cost-diff0
(/.f64 x y)
✓cost-diff128
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
Rules
40×*-lowering-*.f32
40×*-lowering-*.f64
36×/-lowering-/.f32
36×/-lowering-/.f64
18×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01156
12547
23847
36247
48447
58447
08447
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* (/ x y) (/ 1 y))
(/ x y)
x
y
(/ 1 y)
1
(/ 1 (/ y (/ x y)))
1
(/ y (/ x y))
y
(/ x y)
x
(/ (/ 1 y) (/ y x))
(/ 1 y)
1
y
(/ y x)
x
(/ (/ x y) y)
(/ x y)
x
y
Outputs
(* (/ x y) (/ 1 y))
(/.f64 x (*.f64 y y))
(/ x y)
(/.f64 x y)
x
y
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
(/ 1 (/ y (/ x y)))
(/.f64 x (*.f64 y y))
1
#s(literal 1 binary64)
(/ y (/ x y))
(/.f64 y (/.f64 x y))
y
(/ x y)
(/.f64 x y)
x
(/ (/ 1 y) (/ y x))
(/.f64 x (*.f64 y y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y
(/ y x)
(/.f64 y x)
x
(/ (/ x y) y)
(/.f64 x (*.f64 y y))
(/ x y)
(/.f64 x y)
x
y

localize74.0ms (1.5%)

Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 x y)
✓accuracy99.8%
(/.f64 (/.f64 x y) y)
✓accuracy100.0%
(/.f64 y x)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
✓accuracy99.7%
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
✓accuracy100.0%
(/.f64 x y)
✓accuracy99.6%
(/.f64 y (/.f64 x y))
✓accuracy99.3%
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
✓accuracy100.0%
(/.f64 x y)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
✓accuracy99.7%
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
Results
56.0ms256×0valid
Compiler

Compiled 63 to 12 computations (81% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-div: 13.0ms (88.2% of total)
ival-mult: 2.0ms (13.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series2.0ms (0%)

Counts
8 → 180
Calls
Call 1
Inputs
#<alt (* (/ x y) (/ 1 y))>
#<alt (/ x y)>
#<alt (/ 1 y)>
#<alt (/ 1 (/ y (/ x y)))>
#<alt (/ y (/ x y))>
#<alt (/ (/ 1 y) (/ y x))>
#<alt (/ y x)>
#<alt (/ (/ x y) y)>
Outputs
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
Calls

45 calls:

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

rewrite237.0ms (4.9%)

Algorithm
1×batch-egg-rewrite
Rules
1898×*-lowering-*.f32
1898×*-lowering-*.f64
1328×/-lowering-/.f32
1328×/-lowering-/.f64
986×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01133
15728
232428
3145628
4664028
0820328
Stop Event
1×iter limit
1×node limit
Counts
8 → 870
Calls
Call 1
Inputs
(* (/ x y) (/ 1 y))
(/ x y)
(/ 1 y)
(/ 1 (/ y (/ x y)))
(/ y (/ x y))
(/ (/ 1 y) (/ y x))
(/ y x)
(/ (/ x y) y)
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y y)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 0 binary64)) (/.f64 x (*.f64 y y)))
(exp.f64 (log.f64 (/.f64 x (*.f64 y y))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 y y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 y (/.f64 x y)) (/.f64 x (*.f64 y y)))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x y))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x y))) #s(literal -1/2 binary64)) (*.f64 (log.f64 (/.f64 y (/.f64 x y))) #s(literal -1/2 binary64))))
(exp.f64 (-.f64 (*.f64 (log.f64 y) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 x))))
(-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y y)))
(neg.f64 (/.f64 x (*.f64 y y)))
(/.f64 x (*.f64 y y))
(/.f64 y (*.f64 y (/.f64 y (/.f64 x y))))
(/.f64 y (*.f64 (*.f64 y y) (/.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
(/.f64 (/.f64 y x) (*.f64 (/.f64 y x) (/.f64 y (/.f64 x y))))
(/.f64 #s(literal -1 binary64) (/.f64 y (/.f64 x y)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 (*.f64 y y) (*.f64 (*.f64 y y) (/.f64 y (/.f64 x y))))
(/.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(/.f64 (/.f64 x (*.f64 y y)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 y (/.f64 (/.f64 x y) (/.f64 y x))))
(/.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (*.f64 y (/.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y y) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (*.f64 y y) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 #s(literal 1 binary64) y))) (/.f64 y (/.f64 x y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 y (-.f64 #s(literal 0 binary64) x))) (*.f64 y (*.f64 y y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 x (*.f64 y y)))) y)
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) x)) (*.f64 (*.f64 y y) (*.f64 y y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) x))) (*.f64 (*.f64 y y) (*.f64 y y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) (/.f64 y (/.f64 x y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) (/.f64 x (*.f64 y y)))) (*.f64 y y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) (/.f64 x y))) (*.f64 y (*.f64 y y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y x) (/.f64 x y))) (/.f64 y (/.f64 x y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 x y))) (*.f64 y y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 y x)) (*.f64 y (*.f64 y y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 y y)))) (/.f64 y x))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (/.f64 y x) x)) (*.f64 (/.f64 y x) (*.f64 y y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y x) (/.f64 x (*.f64 y y)))) (/.f64 y x))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 (/.f64 y x) (-.f64 #s(literal 0 binary64) x))) (*.f64 (/.f64 y x) (*.f64 y y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) y))) (/.f64 (/.f64 y (/.f64 x y)) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) (*.f64 (/.f64 y x) (/.f64 #s(literal -1 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (/.f64 x (*.f64 y y)) (/.f64 x (*.f64 y y))) (*.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 x (*.f64 y y)) (/.f64 x (*.f64 y y)))) (/.f64 x (*.f64 y y)))
(/.f64 (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(/.f64 (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 (/.f64 x y) (/.f64 y x)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 x y) (/.f64 y x))) (/.f64 x y))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) x)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 x x))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) x)
(/.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 x y) (/.f64 y x)))
(/.f64 (*.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 #s(literal 1 binary64) y)) (/.f64 x y))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (/.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y))
(pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y) #s(literal 2 binary64))
(pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 y (/.f64 x y)) (/.f64 x (*.f64 y y))) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (/.f64 x (*.f64 y y)) (/.f64 x (*.f64 y y))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y (/.f64 x y))))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y))
(*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y y)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y))
(*.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(*.f64 (/.f64 x (*.f64 y y)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) y))
(*.f64 (pow.f64 y #s(literal -3/2 binary64)) (*.f64 x (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (pow.f64 y #s(literal -3/2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))) x))
(*.f64 (pow.f64 y #s(literal -3/2 binary64)) (/.f64 (*.f64 x (pow.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -3/2 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))) x) #s(literal 1 binary64)))
(*.f64 (*.f64 x (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -3/2 binary64)))
(*.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))) x) (pow.f64 y #s(literal -3/2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x))
(*.f64 (pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64)))) #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64)))) #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal -3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x (pow.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal -3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 x (pow.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 y #s(literal -3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))) x) #s(literal 1 binary64)) (pow.f64 (pow.f64 y #s(literal -3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 x (*.f64 y y)))
(*.f64 (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (/.f64 x (*.f64 y y)))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64)))) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x))
(*.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64))))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (/.f64 (/.f64 y (/.f64 x y)) (/.f64 x (*.f64 y y))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (/.f64 x y)) (/.f64 x (*.f64 y y)))) (/.f64 y (/.f64 x y)))
(*.f64 (/.f64 (/.f64 x y) (*.f64 y y)) y)
(*.f64 (/.f64 (/.f64 x y) (*.f64 y (*.f64 y y))) (*.f64 y y))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))) (/.f64 (/.f64 y (/.f64 x y)) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 y (/.f64 x y)) x)) (/.f64 y x))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (/.f64 (/.f64 y (/.f64 x y)) (/.f64 x (*.f64 y y))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (/.f64 x y)) (/.f64 x (*.f64 y y)))) (/.f64 y (/.f64 x y)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y))) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 x y))
(+.f64 (/.f64 x y) #s(literal 0 binary64))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) (/.f64 x y))
(exp.f64 (log.f64 (/.f64 x y)))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x y))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (/.f64 x y) (/.f64 y x))) (/.f64 x y))
(neg.f64 (/.f64 x y))
(/.f64 x y)
(/.f64 y (/.f64 y (/.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x y) (/.f64 (/.f64 x y) (/.f64 y x))))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 y x))
(/.f64 (-.f64 #s(literal 0 binary64) x) y)
(/.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 (/.f64 x y) #s(literal -1 binary64))
(/.f64 (/.f64 x (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (/.f64 (/.f64 x y) (/.f64 y x)))
(/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 x y) (/.f64 y x))))
(/.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 x y))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 x x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 y x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 #s(literal 1 binary64) y))) (/.f64 y x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y x)) (*.f64 y y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (-.f64 #s(literal 0 binary64) x))) (*.f64 y y))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 x y))) y)
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 x y) (/.f64 y x))) (*.f64 y (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (*.f64 y (/.f64 (/.f64 x y) (/.f64 y x))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 (/.f64 x y) (/.f64 y x)))) (*.f64 y (/.f64 x y)))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 x y) (/.f64 y x))) (/.f64 x y))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
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(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 (/.f64 x y) (/.f64 y x)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 x y) (/.f64 y x))) (/.f64 x y))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 0 binary64) (*.f64 x x))) x)
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 x x))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) x)
(/.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 x y) (/.f64 y x)))
(/.f64 (*.f64 (/.f64 (/.f64 x y) (/.f64 y x)) (/.f64 #s(literal 1 binary64) y)) (/.f64 x y))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (/.f64 x y)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 x y)) (/.f64 #s(literal 1 binary64) y))
(pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y) #s(literal 2 binary64))
(pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 y (/.f64 x y)) (/.f64 x (*.f64 y y))) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (/.f64 x (*.f64 y y)) (/.f64 x (*.f64 y y))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y (/.f64 x y))))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y))
(*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y y)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x))
(*.f64 (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y))
(*.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(*.f64 (/.f64 x (*.f64 y y)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) y))
(*.f64 (pow.f64 y #s(literal -3/2 binary64)) (*.f64 x (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (pow.f64 y #s(literal -3/2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))) x))
(*.f64 (pow.f64 y #s(literal -3/2 binary64)) (/.f64 (*.f64 x (pow.f64 y #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -3/2 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))) x) #s(literal 1 binary64)))
(*.f64 (*.f64 x (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -3/2 binary64)))
(*.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))) x) (pow.f64 y #s(literal -3/2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x))
(*.f64 (pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64)))) #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64)))) #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x) #s(literal 1 binary64)) (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal -3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x (pow.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal -3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 x (pow.f64 y #s(literal -1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 y #s(literal -3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64))) x) #s(literal 1 binary64)) (pow.f64 (pow.f64 y #s(literal -3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 x (*.f64 y y)))
(*.f64 (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (/.f64 x (*.f64 y y)))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal -1/2 binary64)))) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x))
(*.f64 (/.f64 x (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 x y) (pow.f64 y #s(literal 1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal -1/2 binary64))))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (/.f64 (/.f64 y (/.f64 x y)) (/.f64 x (*.f64 y y))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y (/.f64 x y)) (/.f64 x (*.f64 y y)))) (/.f64 y (/.f64 x y)))
(*.f64 (/.f64 (/.f64 x y) (*.f64 y y)) y)
(*.f64 (/.f64 (/.f64 x y) (*.f64 y (*.f64 y y))) (*.f64 y y))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))) (/.f64 (/.f64 y (/.f64 x y)) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 y (/.f64 x y)) x)) (/.f64 y x))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (/.f64 (/.f64 y (/.f64 x y)) (/.f64 x (*.f64 y y))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (/.f64 x y)) (/.f64 x (*.f64 y y)))) (/.f64 y (/.f64 x y)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y))) (/.f64 (pow.f64 x #s(literal 1/2 binary64)) y))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))

simplify26.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
12×/-lowering-/.f32
12×/-lowering-/.f64
6×*-lowering-*.f32
6×*-lowering-*.f64
2×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
010768
114648
217648
318648
018648
Stop Event
1×iter limit
1×saturated
Counts
180 → 180
Calls
Call 1
Inputs
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ 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)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
Outputs
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))

eval187.0ms (3.9%)

Compiler

Compiled 16344 to 1564 computations (90.4% saved)

prune105.0ms (2.2%)

Pruning

9 alts after pruning (1 fresh and 8 done)

PrunedKeptTotal
New132411325
Fresh000
Picked044
Done044
Total132491333
Accuracy
100.0%
Counts
1333 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓50.9%
(/.f64 (/.f64 x y) y)
✓50.9%
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
✓43.0%
(/.f64 x (*.f64 y y))
✓50.9%
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
✓92.0%
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
✓99.9%
(+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))
▶46.9%
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x))
✓50.9%
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
✓50.2%
#s(literal -3 binary64)
Compiler

Compiled 73 to 49 computations (32.9% saved)

simplify4.0ms (0.1%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(pow.f64 y #s(literal -3/2 binary64))
✓cost-diff0
(*.f64 (pow.f64 y #s(literal -3/2 binary64)) x)
✓cost-diff0
(pow.f64 y #s(literal -1/2 binary64))
✓cost-diff0
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x))
Rules
24×*-lowering-*.f32
24×*-lowering-*.f64
10×*-commutative
6×associate-*r*
6×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
11224
21924
32124
02124
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* (pow y -1/2) (* (pow y -3/2) x))
(pow y -1/2)
y
-1/2
(* (pow y -3/2) x)
(pow y -3/2)
-3/2
x
Outputs
(* (pow y -1/2) (* (pow y -3/2) x))
(*.f64 (pow.f64 y #s(literal -3/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x))
(pow y -1/2)
(pow.f64 y #s(literal -1/2 binary64))
y
-1/2
#s(literal -1/2 binary64)
(* (pow y -3/2) x)
(*.f64 (pow.f64 y #s(literal -3/2 binary64)) x)
(pow y -3/2)
(pow.f64 y #s(literal -3/2 binary64))
-3/2
#s(literal -3/2 binary64)
x

localize48.0ms (1%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(pow.f64 y #s(literal -1/2 binary64))
✓accuracy100.0%
(pow.f64 y #s(literal -3/2 binary64))
✓accuracy99.7%
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x))
✓accuracy88.5%
(*.f64 (pow.f64 y #s(literal -3/2 binary64)) x)
Results
37.0ms256×0valid
Compiler

Compiled 27 to 9 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-pow: 11.0ms (71.3% of total)
ival-mult: 4.0ms (25.9% of total)
const: 1.0ms (6.5% of total)
backward-pass: 0.0ms (0% of total)

series9.0ms (0.2%)

Counts
4 → 72
Calls
Call 1
Inputs
#<alt (* (pow y -1/2) (* (pow y -3/2) x))>
#<alt (pow y -1/2)>
#<alt (* (pow y -3/2) x)>
#<alt (pow y -3/2)>
Outputs
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ (* x (pow (sqrt -1) 2)) (pow y 2))>
#<alt (/ (* x (pow (sqrt -1) 2)) (pow y 2))>
#<alt (/ (* x (pow (sqrt -1) 2)) (pow y 2))>
#<alt (/ (* x (pow (sqrt -1) 2)) (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (sqrt (/ 1 y))>
#<alt (sqrt (/ 1 y))>
#<alt (sqrt (/ 1 y))>
#<alt (sqrt (/ 1 y))>
#<alt (sqrt (/ 1 y))>
#<alt (sqrt (/ 1 y))>
#<alt (sqrt (/ 1 y))>
#<alt (sqrt (/ 1 y))>
#<alt (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))>
#<alt (* x (sqrt (/ 1 (pow y 3))))>
#<alt (* x (sqrt (/ 1 (pow y 3))))>
#<alt (* x (sqrt (/ 1 (pow y 3))))>
#<alt (* x (sqrt (/ 1 (pow y 3))))>
#<alt (* x (sqrt (/ 1 (pow y 3))))>
#<alt (* x (sqrt (/ 1 (pow y 3))))>
#<alt (* x (sqrt (/ 1 (pow y 3))))>
#<alt (* x (sqrt (/ 1 (pow y 3))))>
#<alt (* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3)))))>
#<alt (* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3)))))>
#<alt (* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3)))))>
#<alt (* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3)))))>
#<alt (* x (sqrt (/ 1 (pow y 3))))>
#<alt (* x (sqrt (/ 1 (pow y 3))))>
#<alt (* x (sqrt (/ 1 (pow y 3))))>
#<alt (* x (sqrt (/ 1 (pow y 3))))>
#<alt (* x (sqrt (/ 1 (pow y 3))))>
#<alt (* x (sqrt (/ 1 (pow y 3))))>
#<alt (* x (sqrt (/ 1 (pow y 3))))>
#<alt (* x (sqrt (/ 1 (pow y 3))))>
#<alt (* x (sqrt (/ 1 (pow y 3))))>
#<alt (* x (sqrt (/ 1 (pow y 3))))>
#<alt (* x (sqrt (/ 1 (pow y 3))))>
#<alt (* x (sqrt (/ 1 (pow y 3))))>
#<alt (sqrt (/ 1 (pow y 3)))>
#<alt (sqrt (/ 1 (pow y 3)))>
#<alt (sqrt (/ 1 (pow y 3)))>
#<alt (sqrt (/ 1 (pow y 3)))>
#<alt (sqrt (/ 1 (pow y 3)))>
#<alt (sqrt (/ 1 (pow y 3)))>
#<alt (sqrt (/ 1 (pow y 3)))>
#<alt (sqrt (/ 1 (pow y 3)))>
#<alt (* -1 (* (sqrt (/ 1 (pow y 3))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ 1 (pow y 3))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ 1 (pow y 3))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt (/ 1 (pow y 3))) (pow (sqrt -1) 2)))>
Calls

18 calls:

TimeVariablePointExpression
2.0ms
y
@-inf
(* (pow y -1/2) (* (pow y -3/2) x))
1.0ms
x
@0
(* (pow y -3/2) x)
1.0ms
y
@0
(* (pow y -3/2) x)
1.0ms
y
@-inf
(pow y -3/2)
0.0ms
y
@0
(pow y -3/2)

rewrite43.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
1900×prod-exp
888×prod-diff
418×fma-define
394×associate-*r*
346×unpow-prod-down
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0824
12616
28016
328716
414018
0105568
Stop Event
1×iter limit
1×node limit
Counts
4 → 16
Calls
Call 1
Inputs
(* (pow y -1/2) (* (pow y -3/2) x))
(pow y -1/2)
(* (pow y -3/2) x)
(pow y -3/2)
Outputs
(/.f64 x #s(literal 1 binary64))
(/.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64)))
(*.f64 x #s(literal 1 binary64))
(*.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
y
(/.f64 x #s(literal 1 binary64))
(/.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64)))
(*.f64 x #s(literal 1 binary64))
(*.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
y

simplify197.0ms (4.1%)

Algorithm
1×egg-herbie
Rules
1816×fma-define
1720×fnmadd-define
1272×fma-lowering-fma.f32
1272×fma-lowering-fma.f64
1016×fnmsub-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
023424
148376
2113368
3243368
4714368
51420368
62509368
74797368
85717368
96563368
107144368
117164368
127164368
137164368
147164368
07164368
Stop Event
1×iter limit
1×saturated
Counts
72 → 72
Calls
Call 1
Inputs
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ (* x (pow (sqrt -1) 2)) (pow y 2))
(/ (* x (pow (sqrt -1) 2)) (pow y 2))
(/ (* x (pow (sqrt -1) 2)) (pow y 2))
(/ (* x (pow (sqrt -1) 2)) (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(sqrt (/ 1 y))
(sqrt (/ 1 y))
(sqrt (/ 1 y))
(sqrt (/ 1 y))
(sqrt (/ 1 y))
(sqrt (/ 1 y))
(sqrt (/ 1 y))
(sqrt (/ 1 y))
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3)))))
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3)))))
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3)))))
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3)))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(* x (sqrt (/ 1 (pow y 3))))
(sqrt (/ 1 (pow y 3)))
(sqrt (/ 1 (pow y 3)))
(sqrt (/ 1 (pow y 3)))
(sqrt (/ 1 (pow y 3)))
(sqrt (/ 1 (pow y 3)))
(sqrt (/ 1 (pow y 3)))
(sqrt (/ 1 (pow y 3)))
(sqrt (/ 1 (pow y 3)))
(* -1 (* (sqrt (/ 1 (pow y 3))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ 1 (pow y 3))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ 1 (pow y 3))) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (/ 1 (pow y 3))) (pow (sqrt -1) 2)))
Outputs
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ (* x (pow (sqrt -1) 2)) (pow y 2))
(-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y y)))
(/ (* x (pow (sqrt -1) 2)) (pow y 2))
(-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y y)))
(/ (* x (pow (sqrt -1) 2)) (pow y 2))
(-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y y)))
(/ (* x (pow (sqrt -1) 2)) (pow y 2))
(-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y y)))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(sqrt (/ 1 y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(sqrt (/ 1 y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(sqrt (/ 1 y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(sqrt (/ 1 y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(sqrt (/ 1 y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(sqrt (/ 1 y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(sqrt (/ 1 y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(sqrt (/ 1 y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2))
(-.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 x (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))))
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 x (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))))
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 x (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))))
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 x (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))))
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 x (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))))
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 x (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))))
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 x (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))))
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 x (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))))
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3)))))
(*.f64 x (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))))
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3)))))
(*.f64 x (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))))
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3)))))
(*.f64 x (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))))
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3)))))
(*.f64 x (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))))
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 x (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))))
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 x (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))))
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 x (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))))
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 x (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))))
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 x (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))))
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 x (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))))
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 x (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))))
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 x (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))))
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 x (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))))
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 x (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))))
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 x (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))))
(* x (sqrt (/ 1 (pow y 3))))
(*.f64 x (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y))))
(sqrt (/ 1 (pow y 3)))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y)))
(sqrt (/ 1 (pow y 3)))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y)))
(sqrt (/ 1 (pow y 3)))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y)))
(sqrt (/ 1 (pow y 3)))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y)))
(sqrt (/ 1 (pow y 3)))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y)))
(sqrt (/ 1 (pow y 3)))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y)))
(sqrt (/ 1 (pow y 3)))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y)))
(sqrt (/ 1 (pow y 3)))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y)))
(* -1 (* (sqrt (/ 1 (pow y 3))) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y)))
(* -1 (* (sqrt (/ 1 (pow y 3))) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y)))
(* -1 (* (sqrt (/ 1 (pow y 3))) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y)))
(* -1 (* (sqrt (/ 1 (pow y 3))) (pow (sqrt -1) 2)))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y y)))

eval10.0ms (0.2%)

Compiler

Compiled 862 to 39 computations (95.5% saved)

prune8.0ms (0.2%)

Pruning

10 alts after pruning (1 fresh and 9 done)

PrunedKeptTotal
New87188
Fresh000
Picked011
Done088
Total871097
Accuracy
100.0%
Counts
97 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓50.9%
(/.f64 (/.f64 x y) y)
✓50.9%
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
✓43.0%
(/.f64 x (*.f64 y y))
4.3%
(/.f64 x #s(literal 1 binary64))
✓50.9%
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
✓92.0%
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
✓99.9%
(+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))
✓46.9%
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x))
✓50.9%
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
✓50.2%
#s(literal -3 binary64)
Compiler

Compiled 165 to 82 computations (50.3% saved)

regimes22.0ms (0.5%)

Counts
13 → 1
Calls
Call 1
Inputs
#s(literal -3 binary64)
(/.f64 x #s(literal 1 binary64))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
(+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) y) #s(literal -3 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y))) #s(literal 3 binary64))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #s(literal 3 binary64))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) x))
Outputs
(+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))
Calls

5 calls:

5.0ms
x
5.0ms
(*.f64 y y)
4.0ms
y
4.0ms
(/.f64 x (*.f64 y y))
3.0ms
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
99.9%1(/.f64 x (*.f64 y y))
99.9%1(*.f64 y y)
Compiler

Compiled 27 to 17 computations (37% saved)

regimes11.0ms (0.2%)

Counts
5 → 3
Calls
Call 1
Inputs
#s(literal -3 binary64)
(/.f64 x #s(literal 1 binary64))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
Outputs
(/.f64 (/.f64 x y) y)
#s(literal -3 binary64)
(/.f64 (/.f64 x y) y)
Calls

4 calls:

4.0ms
x
2.0ms
y
2.0ms
(*.f64 y y)
2.0ms
(/.f64 x (*.f64 y y))
Results
AccuracySegmentsBranch
64.7%3x
86.3%2y
98.1%3(/.f64 x (*.f64 y y))
86.3%2(*.f64 y y)
Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes2.0ms (0%)

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

1 calls:

2.0ms
(/.f64 x (*.f64 y y))
Results
AccuracySegmentsBranch
90.2%3(/.f64 x (*.f64 y y))
Compiler

Compiled 7 to 4 computations (42.9% saved)

regimes3.0ms (0.1%)

Accuracy

Total -30.3b remaining (-95%)

Threshold costs -30.3b (-95%)

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

2 calls:

1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
50.2%1x
50.2%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.18440774695961648
19229185098.590492
0.0ms
-4.313341392743107
-1.3249876230879829e-5
Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.18440774695961648
19229185098.590492
0.0ms
-4.313341392743107
-1.3249876230879829e-5
Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify10.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
4×if-if-or-not_binary32
2×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01654
12154
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))
(if (<=.f64 (/.f64 x (*.f64 y y)) #s(literal -4 binary64)) (/.f64 (/.f64 x y) y) (if (<=.f64 (/.f64 x (*.f64 y y)) #s(literal 3602879701896397/18014398509481984 binary64)) #s(literal -3 binary64) (/.f64 (/.f64 x y) y)))
(if (<=.f64 (/.f64 x (*.f64 y y)) #s(literal -4 binary64)) (/.f64 x (*.f64 y y)) (if (<=.f64 (/.f64 x (*.f64 y y)) #s(literal 3602879701896397/18014398509481984 binary64)) #s(literal -3 binary64) (/.f64 x (*.f64 y y))))
#s(literal -3 binary64)
Outputs
(+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))
(if (<=.f64 (/.f64 x (*.f64 y y)) #s(literal -4 binary64)) (/.f64 (/.f64 x y) y) (if (<=.f64 (/.f64 x (*.f64 y y)) #s(literal 3602879701896397/18014398509481984 binary64)) #s(literal -3 binary64) (/.f64 (/.f64 x y) y)))
(if (<=.f64 (/.f64 x (*.f64 y y)) #s(literal -4 binary64)) (/.f64 x (*.f64 y y)) (if (<=.f64 (/.f64 x (*.f64 y y)) #s(literal 3602879701896397/18014398509481984 binary64)) #s(literal -3 binary64) (/.f64 x (*.f64 y y))))
#s(literal -3 binary64)

soundness1.3s (26.4%)

Rules
6288×*-lowering-*.f32
6288×*-lowering-*.f64
3738×/-lowering-/.f32
3738×/-lowering-/.f64
1914×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022636
148534
2112534
3281534
4634534
51123534
62003534
73275534
85549534
97349534
08100534
01852
112951
2106251
0841451
066
1126
2136
0136
Stop Event
1×fuel
1×iter limit
1×saturated
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 148 to 73 computations (50.7% saved)

preprocess59.0ms (1.2%)

Remove

(abs y)

Compiler

Compiled 200 to 80 computations (60% saved)

end0.0ms (0%)

Profiling

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