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

Time bar (total: 4.2s)

analyze22.0ms (0.5%)

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: 6.0ms
ival-mult: 3.0ms (54.1% of total)
ival-div: 1.0ms (18% of total)
ival-sub: 1.0ms (18% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample739.0ms (17.5%)

Results
529.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 248.0ms
ival-mult: 118.0ms (47.5% of total)
ival-div: 70.0ms (28.2% of total)
ival-sub: 46.0ms (18.5% of total)
const: 11.0ms (4.4% of total)
backward-pass: 3.0ms (1.2% of total)
Bogosity

preprocess67.0ms (1.6%)

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)

explain73.0ms (1.7%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
260-3(-1.4546093918911641e-190 8.4234665431247e-159)(/.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
49.0ms512×0valid
Compiler

Compiled 51 to 20 computations (60.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 5.0ms (37.7% of total)
ival-div: 4.0ms (30.2% of total)
ival-sub: 3.0ms (22.6% of total)
const: 1.0ms (7.5% 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
▶94.9%
(-.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)

simplify6.0ms (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)

localize46.0ms (1.1%)

Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
✓accuracy100.0%
(*.f64 y y)
✓accuracy91.0%
(/.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
36.0ms256×0valid
Compiler

Compiled 39 to 11 computations (71.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 6.0ms (54.2% of total)
ival-mult: 2.0ms (18.1% of total)
ival-sub: 1.0ms (9% of total)
ival-add: 1.0ms (9% of total)
const: 1.0ms (9% 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
(/ x y)
1.0ms
x
@inf
(+ (/ (/ x y) y) -3)
1.0ms
x
@inf
(/ x y)
0.0ms
x
@0
(/ (/ x y) y)
0.0ms
x
@0
(+ (/ (/ x y) y) -3)

rewrite212.0ms (5%)

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)

simplify133.0ms (3.2%)

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)

eval40.0ms (0.9%)

Compiler

Compiled 8010 to 470 computations (94.1% saved)

prune28.0ms (0.7%)

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
▶47.7%
(/.f64 x (*.f64 y y))
▶99.9%
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #s(literal 3 binary64))
✓94.9%
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
▶63.9%
(-.f64 (*.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))) #s(literal 3 binary64))
▶94.3%
(-.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) #s(literal 3 binary64))
✓99.9%
(+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))
▶49.1%
#s(literal -3 binary64)
Compiler

Compiled 120 to 76 computations (36.7% saved)

simplify10.0ms (0.2%)

Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 y (/.f64 x y))
✓cost-diff0
(pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1/2 binary64))
✓cost-diff13312
(*.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)))
✓cost-diff13312
(-.f64 (*.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))) #s(literal 3 binary64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) y)
✓cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) y) y)
✓cost-diff128
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x)
✓cost-diff128
(-.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) #s(literal 3 binary64))
✓cost-diff0
(*.f64 y y)
✓cost-diff0
(/.f64 x (*.f64 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-diff128
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #s(literal 3 binary64))
Rules
46×*-lowering-*.f32
46×*-lowering-*.f64
36×/-lowering-/.f32
36×/-lowering-/.f64
30×fmsub-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02088
14478
26174
36974
410774
513874
013874
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(- (/ (/ 1 y) (/ y x)) 3)
(/ (/ 1 y) (/ y x))
(/ 1 y)
1
y
(/ y x)
x
3
-3
(/ x (* y y))
x
(* y y)
y
(- (* (/ (/ 1 y) y) x) 3)
(* (/ (/ 1 y) y) x)
(/ (/ 1 y) y)
(/ 1 y)
1
y
x
3
(- (* (pow (/ y (/ x y)) -1/2) (pow (/ y (/ x y)) -1/2)) 3)
(* (pow (/ y (/ x y)) -1/2) (pow (/ y (/ x y)) -1/2))
(pow (/ y (/ x y)) -1/2)
(/ y (/ x y))
y
(/ x y)
x
-1/2
3
Outputs
(- (/ (/ 1 y) (/ y x)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(/ (/ 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)
-3
#s(literal -3 binary64)
(/ x (* y y))
(/.f64 x (*.f64 y y))
x
(* y y)
(*.f64 y y)
y
(- (* (/ (/ 1 y) y) x) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(* (/ (/ 1 y) y) x)
(/.f64 x (*.f64 y y))
(/ (/ 1 y) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y
x
3
#s(literal 3 binary64)
(- (* (pow (/ y (/ x y)) -1/2) (pow (/ y (/ x y)) -1/2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(* (pow (/ y (/ x y)) -1/2) (pow (/ y (/ x y)) -1/2))
(/.f64 x (*.f64 y y))
(pow (/ y (/ x y)) -1/2)
(pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1/2 binary64))
(/ y (/ x y))
(/.f64 y (/.f64 x y))
y
(/ x y)
(/.f64 x y)
x
-1/2
#s(literal -1/2 binary64)
3
#s(literal 3 binary64)

localize159.0ms (3.8%)

Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 (*.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))) #s(literal 3 binary64))
✓accuracy99.9%
(/.f64 y (/.f64 x y))
✓accuracy99.8%
(*.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)))
✓accuracy82.8%
(pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1/2 binary64))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
✓accuracy100.0%
(-.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) #s(literal 3 binary64))
✓accuracy99.9%
(/.f64 (/.f64 #s(literal 1 binary64) y) y)
✓accuracy94.4%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x)
✓accuracy100.0%
(*.f64 y y)
✓accuracy94.4%
(/.f64 x (*.f64 y y))
✓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))
✓accuracy99.9%
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
Results
51.0ms129×0valid
40.0ms127×0invalid
Compiler

Compiled 119 to 21 computations (82.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-div: 12.0ms (41.6% of total)
ival-sub: 6.0ms (20.8% of total)
ival-mult: 6.0ms (20.8% of total)
ival-pow: 4.0ms (13.9% of total)
const: 1.0ms (3.5% of total)
backward-pass: 0.0ms (0% of total)

series11.0ms (0.3%)

Counts
13 → 276
Calls
Call 1
Inputs
#<alt (- (/ (/ 1 y) (/ y x)) 3)>
#<alt (/ (/ 1 y) (/ y x))>
#<alt (/ 1 y)>
#<alt (/ y x)>
#<alt (/ x (* y y))>
#<alt (* y y)>
#<alt (- (* (/ (/ 1 y) y) x) 3)>
#<alt (* (/ (/ 1 y) y) x)>
#<alt (/ (/ 1 y) y)>
#<alt (- (* (pow (/ y (/ x y)) -1/2) (pow (/ y (/ x y)) -1/2)) 3)>
#<alt (* (pow (/ y (/ x y)) -1/2) (pow (/ y (/ x y)) -1/2))>
#<alt (pow (/ y (/ x y)) -1/2)>
#<alt (/ y (/ x y))>
Outputs
#<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 (/ 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 (/ 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 (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 (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 (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 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 (* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))>
#<alt (* -1 (* x (+ (* 3 (/ 1 x)) (/ (pow (sqrt -1) 2) (pow y 2)))))>
#<alt (* -1 (* x (+ (* 3 (/ 1 x)) (/ (pow (sqrt -1) 2) (pow y 2)))))>
#<alt (* -1 (* x (+ (* 3 (/ 1 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 (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))>
#<alt (* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))>
#<alt (* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))>
#<alt (* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (* -1 (* (sqrt x) (/ 1 y)))>
#<alt (* -1 (* (sqrt x) (/ 1 y)))>
#<alt (* -1 (* (sqrt x) (/ 1 y)))>
#<alt (* -1 (* (sqrt x) (/ 1 y)))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))>
#<alt (* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))>
#<alt (* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))>
#<alt (* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))>
#<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)>
Calls

69 calls:

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

rewrite563.0ms (13.3%)

Algorithm
1×batch-egg-rewrite
Rules
4656×*-lowering-*.f32
4656×*-lowering-*.f64
2934×/-lowering-/.f32
2934×/-lowering-/.f64
892×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01957
112854
298354
0848254
Stop Event
1×iter limit
1×node limit
Counts
13 → 767
Calls
Call 1
Inputs
(- (/ (/ 1 y) (/ y x)) 3)
(/ (/ 1 y) (/ y x))
(/ 1 y)
(/ y x)
(/ x (* y y))
(* y y)
(- (* (/ (/ 1 y) y) x) 3)
(* (/ (/ 1 y) y) x)
(/ (/ 1 y) y)
(- (* (pow (/ y (/ x y)) -1/2) (pow (/ y (/ x y)) -1/2)) 3)
(* (pow (/ y (/ x y)) -1/2) (pow (/ y (/ x y)) -1/2))
(pow (/ y (/ x y)) -1/2)
(/ y (/ x y))
Outputs
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))
(+.f64 (/.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 (/.f64 y x) (/.f64 (/.f64 x y) (*.f64 y y)))) (+.f64 (/.f64 x (*.f64 y (*.f64 y (/.f64 y (/.f64 x y))))) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y)))))) (neg.f64 (/.f64 #s(literal 27 binary64) (+.f64 (/.f64 x (*.f64 y (*.f64 y (/.f64 y (/.f64 x y))))) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y))))))))
(+.f64 (/.f64 (/.f64 x (*.f64 y (*.f64 y (/.f64 y (/.f64 x y))))) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(-.f64 #s(literal -3 binary64) (/.f64 x (/.f64 y (/.f64 #s(literal -1 binary64) y))))
(-.f64 (/.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 (/.f64 y x) (/.f64 (/.f64 x y) (*.f64 y y)))) (+.f64 (/.f64 x (*.f64 y (*.f64 y (/.f64 y (/.f64 x y))))) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y)))))) (/.f64 #s(literal 27 binary64) (+.f64 (/.f64 x (*.f64 y (*.f64 y (/.f64 y (/.f64 x y))))) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y)))))))
(-.f64 (/.f64 (/.f64 x (*.f64 y (*.f64 y (/.f64 y (/.f64 x 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 (/.f64 #s(literal 1 binary64) y) (/.f64 x y) #s(literal -3 binary64))
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal -3 binary64))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x #s(literal -3 binary64))
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64))
(fma.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)) #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 (/.f64 #s(literal -1 binary64) y) y) #s(literal -3 binary64))
(fma.f64 (pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1/4 binary64)) (pow.f64 (/.f64 y (/.f64 x y)) #s(literal -3/4 binary64)) #s(literal -3 binary64))
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) (-.f64 #s(literal 0 binary64) x) #s(literal -3 binary64))
(fma.f64 (pow.f64 (/.f64 y (/.f64 x y)) #s(literal -3/4 binary64)) (pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1/4 binary64)) #s(literal -3 binary64))
(neg.f64 (/.f64 (+.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 (/.f64 y x) (/.f64 (/.f64 x y) (*.f64 y y)))) #s(literal -27 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 x (*.f64 y (*.f64 y (/.f64 y (/.f64 x y))))) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y))))))))
(neg.f64 (/.f64 (+.f64 (/.f64 x (*.f64 y (*.f64 y (/.f64 y (/.f64 x y))))) #s(literal -9 binary64)) (+.f64 #s(literal -3 binary64) (/.f64 x (/.f64 y (/.f64 #s(literal -1 binary64) y))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 (/.f64 y x) (/.f64 (/.f64 x y) (*.f64 y y)))) #s(literal -27 binary64))) (+.f64 (/.f64 x (*.f64 y (*.f64 y (/.f64 y (/.f64 x y))))) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y)))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 x (*.f64 y (*.f64 y (/.f64 y (/.f64 x y))))) #s(literal -9 binary64))) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)))))
(/.f64 (+.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 (/.f64 y x) (/.f64 (/.f64 x y) (*.f64 y y)))) #s(literal -27 binary64)) (+.f64 (/.f64 x (*.f64 y (*.f64 y (/.f64 y (/.f64 x y))))) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y))))))
(/.f64 (+.f64 (/.f64 x (*.f64 y (*.f64 y (/.f64 y (/.f64 x y))))) #s(literal -9 binary64)) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 (/.f64 y x) (/.f64 (/.f64 x y) (*.f64 y y)))) #s(literal -27 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 x (*.f64 y (*.f64 y (/.f64 y (/.f64 x y))))) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 x (*.f64 y (*.f64 y (/.f64 y (/.f64 x y))))) #s(literal -9 binary64))) (+.f64 #s(literal -3 binary64) (/.f64 x (/.f64 y (/.f64 #s(literal -1 binary64) y)))))
(/.f64 (+.f64 (/.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 (/.f64 y x) (/.f64 (/.f64 x 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 (+.f64 (/.f64 x (*.f64 y (*.f64 y (/.f64 y (/.f64 x y))))) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y))))) (+.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 (/.f64 y x) (/.f64 (/.f64 x y) (*.f64 y y)))) #s(literal 27 binary64))))
(/.f64 (+.f64 (/.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 (/.f64 y x) (/.f64 (/.f64 x 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 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (+.f64 (+.f64 (/.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 (/.f64 y x) (/.f64 (/.f64 x y) (*.f64 y y)))) (/.f64 y (/.f64 x y))) #s(literal 81 binary64)) (/.f64 (*.f64 (/.f64 x y) #s(literal 9 binary64)) (*.f64 y (/.f64 y (/.f64 x y)))))))
(/.f64 (+.f64 (*.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 (/.f64 y x) (/.f64 (/.f64 x y) (*.f64 y y)))) (/.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 (/.f64 y x) (/.f64 (/.f64 x 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 (/.f64 x (*.f64 y (*.f64 y (/.f64 y (/.f64 x y))))) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y))))) (+.f64 (/.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 (/.f64 y x) (/.f64 (/.f64 x 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 #s(literal 27 binary64) (/.f64 (/.f64 x (*.f64 y y)) (/.f64 (/.f64 y x) (/.f64 (/.f64 x y) (*.f64 y y)))))))))
(/.f64 (+.f64 (/.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 (/.f64 y x) (/.f64 (/.f64 x y) (*.f64 y y)))) (/.f64 y (/.f64 x y))) #s(literal -81 binary64)) (*.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (+.f64 (/.f64 x (*.f64 y (*.f64 y (/.f64 y (/.f64 x y))))) #s(literal 9 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 (/.f64 y x) (/.f64 (/.f64 x y) (*.f64 y y)))) (+.f64 (/.f64 x (*.f64 y (*.f64 y (/.f64 y (/.f64 x y))))) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y)))))) (*.f64 (+.f64 (/.f64 x (*.f64 y (*.f64 y (/.f64 y (/.f64 x y))))) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y))))) #s(literal 27 binary64))) (*.f64 (+.f64 (/.f64 x (*.f64 y (*.f64 y (/.f64 y (/.f64 x y))))) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y))))) (+.f64 (/.f64 x (*.f64 y (*.f64 y (/.f64 y (/.f64 x y))))) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y)))))))
(/.f64 (-.f64 (*.f64 (/.f64 x (*.f64 y (*.f64 y (/.f64 y (/.f64 x 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))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 (/.f64 y x) (/.f64 (/.f64 x y) (*.f64 y y)))) #s(literal -27 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 x (*.f64 y (*.f64 y (/.f64 y (/.f64 x y))))) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 x (*.f64 y (*.f64 y (/.f64 y (/.f64 x y))))) #s(literal -9 binary64)))) (neg.f64 (+.f64 #s(literal -3 binary64) (/.f64 x (/.f64 y (/.f64 #s(literal -1 binary64) y))))))
(/.f64 (+.f64 #s(literal -27 binary64) (/.f64 (/.f64 x (*.f64 y y)) (/.f64 (/.f64 y x) (/.f64 (/.f64 x y) (*.f64 y y))))) (+.f64 #s(literal 9 binary64) (-.f64 (/.f64 x (*.f64 y (*.f64 y (/.f64 y (/.f64 x y))))) (*.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 (/.f64 y x) (/.f64 (/.f64 x y) (*.f64 y y)))) (+.f64 (/.f64 x (*.f64 y (*.f64 y (/.f64 y (/.f64 x y))))) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 27 binary64) (+.f64 (/.f64 x (*.f64 y (*.f64 y (/.f64 y (/.f64 x y))))) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y)))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 (/.f64 y x) (/.f64 (/.f64 x y) (*.f64 y y)))) (+.f64 (/.f64 x (*.f64 y (*.f64 y (/.f64 y (/.f64 x y))))) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y)))))) (/.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 (/.f64 y x) (/.f64 (/.f64 x y) (*.f64 y y)))) (+.f64 (/.f64 x (*.f64 y (*.f64 y (/.f64 y (/.f64 x y))))) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y))))))) (+.f64 (*.f64 (/.f64 #s(literal 27 binary64) (+.f64 (/.f64 x (*.f64 y (*.f64 y (/.f64 y (/.f64 x y))))) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y)))))) (/.f64 #s(literal 27 binary64) (+.f64 (/.f64 x (*.f64 y (*.f64 y (/.f64 y (/.f64 x y))))) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y))))))) (*.f64 (/.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 (/.f64 y x) (/.f64 (/.f64 x y) (*.f64 y y)))) (+.f64 (/.f64 x (*.f64 y (*.f64 y (/.f64 y (/.f64 x y))))) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y)))))) (/.f64 #s(literal 27 binary64) (+.f64 (/.f64 x (*.f64 y (*.f64 y (/.f64 y (/.f64 x y))))) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y))))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 x (*.f64 y (*.f64 y (/.f64 y (/.f64 x y))))) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (/.f64 x (*.f64 y (*.f64 y (/.f64 y (/.f64 x y))))) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) (/.f64 (/.f64 x (*.f64 y (*.f64 y (/.f64 y (/.f64 x y))))) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))) (+.f64 (*.f64 (/.f64 #s(literal 9 binary64) (+.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)))) (*.f64 (/.f64 (/.f64 x (*.f64 y (*.f64 y (/.f64 y (/.f64 x 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)))))))
(/.f64 (-.f64 #s(literal 9 binary64) (/.f64 x (*.f64 y (*.f64 y (/.f64 y (/.f64 x y)))))) (-.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 (/.f64 y x) (/.f64 (/.f64 x y) (*.f64 y y)))) (+.f64 (/.f64 x (*.f64 y (*.f64 y (/.f64 y (/.f64 x y))))) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y)))))) (/.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 (/.f64 y x) (/.f64 (/.f64 x y) (*.f64 y y)))) (+.f64 (/.f64 x (*.f64 y (*.f64 y (/.f64 y (/.f64 x y))))) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y))))))) (*.f64 (/.f64 #s(literal 27 binary64) (+.f64 (/.f64 x (*.f64 y (*.f64 y (/.f64 y (/.f64 x y))))) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y)))))) (/.f64 #s(literal 27 binary64) (+.f64 (/.f64 x (*.f64 y (*.f64 y (/.f64 y (/.f64 x y))))) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y)))))))) (+.f64 (/.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 (/.f64 y x) (/.f64 (/.f64 x y) (*.f64 y y)))) (+.f64 (/.f64 x (*.f64 y (*.f64 y (/.f64 y (/.f64 x y))))) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y)))))) (/.f64 #s(literal 27 binary64) (+.f64 (/.f64 x (*.f64 y (*.f64 y (/.f64 y (/.f64 x y))))) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y))))))))
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(*.f64 (pow.f64 (*.f64 y (/.f64 y (/.f64 x y))) #s(literal -1/4 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (/.f64 y x) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal -1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 y #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1/4 binary64)) (pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1/8 binary64))) (pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1/8 binary64)))
(*.f64 (*.f64 (pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1/4 binary64)) (pow.f64 y #s(literal -1/4 binary64))) (pow.f64 (/.f64 y x) #s(literal -1/4 binary64)))
(*.f64 (*.f64 (pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1/4 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/4 binary64))) (pow.f64 y #s(literal -1/4 binary64)))
(exp.f64 (log.f64 (/.f64 y (/.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 y y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 y (-.f64 #s(literal 0 binary64) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 y (/.f64 y (-.f64 #s(literal 0 binary64) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) y)) (*.f64 y (/.f64 y (-.f64 #s(literal 0 binary64) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x y))) (*.f64 y (/.f64 y (-.f64 #s(literal 0 binary64) x))))
(neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 0 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y y)))
(/.f64 y (/.f64 x y))
(/.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 y y) x)
(/.f64 (/.f64 y (/.f64 x y)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 x (/.f64 y (/.f64 #s(literal -1 binary64) y))))
(/.f64 (/.f64 y (-.f64 #s(literal 0 binary64) 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 -1 binary64) y)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) y) y))
(/.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 0 binary64) x))) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) y) y))
(/.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 (/.f64 x y))))
(/.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) y))) (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) y))
(/.f64 (/.f64 (/.f64 y x) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1/4 binary64))) (pow.f64 (/.f64 y (/.f64 x y)) #s(literal -3/4 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y (/.f64 x y)) #s(literal -3/4 binary64))) (pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1/4 binary64)))
(/.f64 (*.f64 (/.f64 y (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y))
(/.f64 (*.f64 (*.f64 y y) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal -1 binary64) y))) (-.f64 #s(literal 0 binary64) x))
(pow.f64 (/.f64 x (*.f64 y y)) #s(literal -1 binary64))
(pow.f64 (/.f64 y (/.f64 x y)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (/.f64 (/.f64 y x) (/.f64 (/.f64 x y) (*.f64 y y))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
(*.f64 y (/.f64 y x))
(*.f64 (/.f64 y x) y)
(*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 y y) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 y (/.f64 x y)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 y (/.f64 y (-.f64 #s(literal 0 binary64) x))))
(*.f64 (/.f64 y (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) y))
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y (-.f64 #s(literal 0 binary64) x)))
(*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (/.f64 y (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)))
(*.f64 (/.f64 y (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 y (/.f64 #s(literal -1 binary64) y)) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y y))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 y (/.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 y (/.f64 x y)) #s(literal -3/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 (pow.f64 (/.f64 y (/.f64 x y)) #s(literal -3/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 (/.f64 y x))))
(*.f64 (exp.f64 (log.f64 (/.f64 y x))) (exp.f64 (log.f64 y)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (*.f64 y y))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 y x) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 y (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 y (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) y) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 y (/.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #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 y (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) y)
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (*.f64 y y))
(*.f64 (/.f64 y (*.f64 x #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) y))

simplify146.0ms (3.5%)

Algorithm
1×egg-herbie
Rules
1804×*-lowering-*.f32
1804×*-lowering-*.f64
1312×sum3-define
952×/-lowering-/.f32
952×/-lowering-/.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0391372
1981123
23081123
37621123
422611123
556031123
082381123
Stop Event
1×iter limit
1×node limit
Counts
276 → 276
Calls
Call 1
Inputs
(/ 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))
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 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))
(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 (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))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 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))))
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))
(* -1 (* x (+ (* 3 (/ 1 x)) (/ (pow (sqrt -1) 2) (pow y 2)))))
(* -1 (* x (+ (* 3 (/ 1 x)) (/ (pow (sqrt -1) 2) (pow y 2)))))
(* -1 (* x (+ (* 3 (/ 1 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))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* -1 (* (sqrt x) (/ 1 y)))
(* -1 (* (sqrt x) (/ 1 y)))
(* -1 (* (sqrt x) (/ 1 y)))
(* -1 (* (sqrt x) (/ 1 y)))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
Outputs
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/.f64 (+.f64 x (*.f64 y (*.f64 y #s(literal -3 binary64)))) (*.f64 y y))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/.f64 (+.f64 x (*.f64 y (*.f64 y #s(literal -3 binary64)))) (*.f64 y y))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/.f64 (+.f64 x (*.f64 y (*.f64 y #s(literal -3 binary64)))) (*.f64 y 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))
-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))
(/ 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)
(/ 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))
(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 (pow y 2))
(/.f64 x (*.f64 y y))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/.f64 (+.f64 x (*.f64 y (*.f64 y #s(literal -3 binary64)))) (*.f64 y y))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/.f64 (+.f64 x (*.f64 y (*.f64 y #s(literal -3 binary64)))) (*.f64 y y))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/.f64 (+.f64 x (*.f64 y (*.f64 y #s(literal -3 binary64)))) (*.f64 y 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))
-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))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.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 (*.f64 y #s(literal -3 binary64)))) (*.f64 y y))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/.f64 (+.f64 x (*.f64 y (*.f64 y #s(literal -3 binary64)))) (*.f64 y y))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/.f64 (+.f64 x (*.f64 y (*.f64 y #s(literal -3 binary64)))) (*.f64 y 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))
-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))
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))
(/.f64 x (*.f64 y y))
(* -1 (* x (+ (* 3 (/ 1 x)) (/ (pow (sqrt -1) 2) (pow y 2)))))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(* -1 (* x (+ (* 3 (/ 1 x)) (/ (pow (sqrt -1) 2) (pow y 2)))))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(* -1 (* x (+ (* 3 (/ 1 x)) (/ (pow (sqrt -1) 2) (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))
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))
(/.f64 x (*.f64 y y))
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))
(/.f64 x (*.f64 y y))
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))
(/.f64 x (*.f64 y y))
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))
(/.f64 x (*.f64 y y))
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (/ 1 y)))
(-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 x) y))
(* -1 (* (sqrt x) (/ 1 y)))
(-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 x) y))
(* -1 (* (sqrt x) (/ 1 y)))
(-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 x) y))
(* -1 (* (sqrt x) (/ 1 y)))
(-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 x) y))
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(/.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(/.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(/.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(/.f64 (sqrt.f64 x) 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)

eval135.0ms (3.2%)

Compiler

Compiled 23107 to 1493 computations (93.5% saved)

prune80.0ms (1.9%)

Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New122441228
Fresh000
Picked325
Done022
Total122781235
Accuracy
100.0%
Counts
1235 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶27.2%
(pow.f64 (pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
▶52.6%
(/.f64 (/.f64 x y) y)
▶52.6%
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
✓47.7%
(/.f64 x (*.f64 y y))
✓94.9%
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
✓99.9%
(+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))
▶47.1%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x)
✓49.1%
#s(literal -3 binary64)
Compiler

Compiled 64 to 43 computations (32.8% saved)

simplify9.0ms (0.2%)

Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 x y)
✓cost-diff0
(/.f64 y (/.f64 x y))
✓cost-diff0
(pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1/2 binary64))
✓cost-diff12928
(pow.f64 (pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
✓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 #s(literal 1 binary64) y)
✓cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) y) y)
✓cost-diff128
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x)
Rules
46×*-lowering-*.f32
46×*-lowering-*.f64
36×/-lowering-/.f32
36×/-lowering-/.f64
24×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01565
12758
24654
35154
48554
59654
09654
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* (/ (/ 1 y) y) x)
(/ (/ 1 y) y)
(/ 1 y)
1
y
x
(/ (/ 1 y) (/ y x))
(/ 1 y)
1
y
(/ y x)
x
(/ (/ x y) y)
(/ x y)
x
y
(pow (pow (/ y (/ x y)) -1/2) 2)
(pow (/ y (/ x y)) -1/2)
(/ y (/ x y))
y
(/ x y)
x
-1/2
2
Outputs
(* (/ (/ 1 y) y) x)
(/.f64 x (*.f64 y y))
(/ (/ 1 y) y)
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
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
(pow (pow (/ y (/ x y)) -1/2) 2)
(/.f64 x (*.f64 y y))
(pow (/ y (/ x y)) -1/2)
(pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1/2 binary64))
(/ y (/ x y))
(/.f64 y (/.f64 x y))
y
(/ x y)
(/.f64 x y)
x
-1/2
#s(literal -1/2 binary64)
2
#s(literal 2 binary64)

localize90.0ms (2.1%)

Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 x y)
✓accuracy99.9%
(/.f64 y (/.f64 x y))
✓accuracy99.8%
(pow.f64 (pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
✓accuracy82.8%
(pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1/2 binary64))
✓accuracy100.0%
(/.f64 x y)
✓accuracy99.9%
(/.f64 (/.f64 x y) y)
✓accuracy100.0%
(/.f64 y x)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
✓accuracy99.9%
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
✓accuracy99.9%
(/.f64 (/.f64 #s(literal 1 binary64) y) y)
✓accuracy94.4%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x)
Results
46.0ms129×0valid
26.0ms127×0invalid
Compiler

Compiled 75 to 16 computations (78.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-div: 18.0ms (54.1% of total)
ival-pow: 9.0ms (27% of total)
ival-mult: 6.0ms (18% of total)
const: 1.0ms (3% of total)
backward-pass: 0.0ms (0% of total)

series3.0ms (0.1%)

Counts
10 → 216
Calls
Call 1
Inputs
#<alt (* (/ (/ 1 y) y) x)>
#<alt (/ (/ 1 y) y)>
#<alt (/ 1 y)>
#<alt (/ (/ 1 y) (/ y x))>
#<alt (/ y x)>
#<alt (/ (/ x y) y)>
#<alt (/ x y)>
#<alt (pow (pow (/ y (/ x y)) -1/2) 2)>
#<alt (pow (/ y (/ x y)) -1/2)>
#<alt (/ y (/ x 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 (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (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 y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x 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 (* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))>
#<alt (* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))>
#<alt (* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))>
#<alt (* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (* -1 (* (sqrt x) (/ 1 y)))>
#<alt (* -1 (* (sqrt x) (/ 1 y)))>
#<alt (* -1 (* (sqrt x) (/ 1 y)))>
#<alt (* -1 (* (sqrt x) (/ 1 y)))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (* (sqrt x) (/ 1 y))>
#<alt (* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))>
#<alt (* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))>
#<alt (* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))>
#<alt (* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))>
#<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)>
Calls

54 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(/ (/ 1 y) (/ y x))
0.0ms
y
@0
(pow (pow (/ y (/ x y)) -1/2) 2)
0.0ms
x
@-inf
(pow (pow (/ y (/ x y)) -1/2) 2)
0.0ms
x
@inf
(pow (pow (/ y (/ x y)) -1/2) 2)
0.0ms
x
@-inf
(pow (/ y (/ x y)) -1/2)

rewrite203.0ms (4.8%)

Algorithm
1×batch-egg-rewrite
Rules
2030×*-lowering-*.f32
2030×*-lowering-*.f64
1342×/-lowering-/.f32
1342×/-lowering-/.f64
1254×+-lowering-+.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01544
17437
241837
3260336
0911336
Stop Event
1×iter limit
1×node limit
Counts
10 → 855
Calls
Call 1
Inputs
(* (/ (/ 1 y) y) x)
(/ (/ 1 y) y)
(/ 1 y)
(/ (/ 1 y) (/ y x))
(/ y x)
(/ (/ x y) y)
(/ x y)
(pow (pow (/ y (/ x y)) -1/2) 2)
(pow (/ y (/ x y)) -1/2)
(/ y (/ x y))
Outputs
(exp.f64 (log.f64 (/.f64 x (*.f64 y y))))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 y (/.f64 x y))) #s(literal -1/4 binary64)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (/.f64 x y) x)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (/.f64 x y) x)))) #s(literal -1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 y (/.f64 x y))))))
(-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y y)))
(-.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 x (*.f64 y y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 y x)) (/.f64 x (*.f64 y y)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 x (*.f64 y y)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) y) #s(literal -1 binary64)) (/.f64 x (*.f64 y y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 x (*.f64 y y)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 #s(literal -1 binary64) x)) (/.f64 x (*.f64 y y)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) y) y) (/.f64 x (*.f64 y y)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) (/.f64 x (*.f64 y y)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (/.f64 y x)) #s(literal 1 binary64)) (/.f64 x (*.f64 y y)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) x)) (/.f64 x (*.f64 y y)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 x (*.f64 y y)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) #s(literal 1 binary64)) (/.f64 x (*.f64 y y)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (/.f64 y x)) #s(literal -1 binary64)) (/.f64 x (*.f64 y y)))
(neg.f64 (/.f64 x (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 (/.f64 x (*.f64 y y))) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 x (*.f64 y y))))))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y 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 #s(literal -1 binary64) x))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(/.f64 (/.f64 x (*.f64 y y)) #s(literal -1 binary64))
(/.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 (exp.f64 (log.f64 #s(literal -1 binary64))) (/.f64 y (/.f64 x y)))
(/.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 y y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y (/.f64 x y))) y) (*.f64 y (/.f64 y (/.f64 x y))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y x)) (*.f64 y (/.f64 #s(literal 1 binary64) y))) (/.f64 y (/.f64 x y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 y y)))) (/.f64 y x))
(/.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 x (*.f64 y y)))) 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 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 y (/.f64 #s(literal 1 binary64) (*.f64 y y)))) (/.f64 y x))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y (/.f64 x y))) (/.f64 y x)) (*.f64 (/.f64 y x) (/.f64 y (/.f64 x y))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y x)) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) y))) (*.f64 (/.f64 y x) (/.f64 y x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) 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 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) (*.f64 (/.f64 y x) (/.f64 #s(literal -1 binary64) x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 y (/.f64 x y))) (*.f64 y y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y (/.f64 x y))) (*.f64 y y)) (*.f64 (*.f64 y y) (/.f64 y (/.f64 x y))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) (/.f64 y (/.f64 x 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 (/.f64 x y))) (*.f64 (*.f64 y y) #s(literal -1 binary64))) (*.f64 (*.f64 y y) (/.f64 y (/.f64 x 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 (*.f64 #s(literal 0 binary64) y) (*.f64 (*.f64 y y) (/.f64 x y))) (*.f64 y (*.f64 y y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y x)) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) y))) (*.f64 (*.f64 y y) (/.f64 y x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) (/.f64 x (*.f64 y y)))) (*.f64 y y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) (/.f64 y (/.f64 x y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (/.f64 y x) (/.f64 x y))) (/.f64 y (/.f64 x y)))
(/.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 (pow.f64 (/.f64 #s(literal 0 binary64) y) #s(literal 3 binary64)) (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 0 binary64) y)) (+.f64 (*.f64 (/.f64 x (*.f64 y y)) (/.f64 x (*.f64 y y))) (*.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 x (*.f64 y y))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (/.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 0 binary64) (/.f64 y x)) (/.f64 #s(literal 0 binary64) (/.f64 y x))) (+.f64 (*.f64 (/.f64 x (*.f64 y y)) (/.f64 x (*.f64 y y))) (*.f64 (/.f64 #s(literal 0 binary64) (/.f64 y x)) (/.f64 x (*.f64 y y))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) #s(literal 3 binary64)) (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 0 binary64) (*.f64 y y))) (+.f64 (*.f64 (/.f64 x (*.f64 y y)) (/.f64 x (*.f64 y y))) (*.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 x (*.f64 y y))))))
(pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (/.f64 x y) x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1/8 binary64)) #s(literal 8 binary64))
(pow.f64 (*.f64 (/.f64 x (*.f64 y y)) (/.f64 x (*.f64 y y))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (/.f64 x y) x)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (/.f64 x y) x))) #s(literal -1/4 binary64))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 y (/.f64 x y)))))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (*.f64 (log.f64 (/.f64 y (/.f64 x y))) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 y (/.f64 x y)))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 y (/.f64 x y)))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (log.f64 (/.f64 y (/.f64 x y))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (log.f64 (/.f64 y (/.f64 x y))) #s(literal 1 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 (/.f64 y (/.f64 x y))) #s(literal -1/4 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (/.f64 y (/.f64 x y)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 y (/.f64 x y)))))
(pow.f64 (*.f64 (exp.f64 #s(literal -1/2 binary64)) (exp.f64 #s(literal -1/2 binary64))) (log.f64 (/.f64 y (/.f64 x y))))
(pow.f64 (*.f64 (/.f64 y (/.f64 x y)) (*.f64 (/.f64 y (/.f64 x y)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (/.f64 x y) x)))) #s(literal -1/4 binary64))
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(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (pow.f64 (/.f64 x (*.f64 y y)) #s(literal -1/4 binary64))) (neg.f64 (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 3/4 binary64))))
(/.f64 (neg.f64 (pow.f64 (/.f64 y (/.f64 x y)) #s(literal 3/4 binary64))) (neg.f64 (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1/4 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 y (/.f64 x y)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (/.f64 x y) x)))) (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (/.f64 x y) x)) (*.f64 #s(literal 0 binary64) (/.f64 y (/.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) (*.f64 (/.f64 y (/.f64 x y)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (/.f64 x y) x)))) (+.f64 (*.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y))) (+.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (/.f64 x y) x)) (*.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 y (/.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (/.f64 x y)) #s(literal 3 binary64)) (*.f64 (/.f64 y (/.f64 x y)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (/.f64 x y) x)))) (+.f64 (*.f64 (/.f64 #s(literal 0 binary64) (/.f64 x y)) (/.f64 #s(literal 0 binary64) (/.f64 x y))) (+.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (/.f64 x y) x)) (*.f64 (/.f64 #s(literal 0 binary64) (/.f64 x y)) (/.f64 y (/.f64 x y))))))
(pow.f64 (/.f64 x (*.f64 y y)) #s(literal -1 binary64))
(pow.f64 (/.f64 y (/.f64 x y)) #s(literal 1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64))) #s(literal -2 binary64))
(pow.f64 (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1/4 binary64)) #s(literal -4 binary64))
(pow.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (/.f64 x y) x)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 x (*.f64 y y)) (/.f64 x (*.f64 y y))) #s(literal -1/2 binary64))
(pow.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (/.f64 x y) x)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (/.f64 x y) x))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (*.f64 (log.f64 (/.f64 y (/.f64 x y))) #s(literal -2 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (neg.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 y (/.f64 x y))))))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 y (/.f64 x y)))) #s(literal -1 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 x (*.f64 y y))))
(*.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
(*.f64 y (/.f64 y x))
(*.f64 (/.f64 y x) y)
(*.f64 (/.f64 y (/.f64 x y)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 y (/.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 y y))
(*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 y y) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (*.f64 y y) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 y y))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (/.f64 x (*.f64 y y)) #s(literal -1/4 binary64)) (pow.f64 (/.f64 y (/.f64 x y)) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (/.f64 y (/.f64 x y)) #s(literal 3/4 binary64)) (pow.f64 (/.f64 x (*.f64 y y)) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 y #s(literal 1/2 binary64)) (/.f64 (/.f64 y x) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (*.f64 y y))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 y #s(literal -1/2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal 3/2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal 3/2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 y y))

simplify192.0ms (4.6%)

Algorithm
1×egg-herbie
Rules
1474×fnmadd-define
1312×fma-lowering-fma.f32
1312×fma-lowering-fma.f64
1302×fma-define
1166×fnmsub-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023940
149784
2156784
3377784
41227784
52610784
64580784
75534784
87171784
97614784
107614784
117830784
127978784
08012784
Stop Event
1×iter limit
1×node limit
Counts
216 → 216
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))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ 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 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))
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* -1 (* (sqrt x) (/ 1 y)))
(* -1 (* (sqrt x) (/ 1 y)))
(* -1 (* (sqrt x) (/ 1 y)))
(* -1 (* (sqrt x) (/ 1 y)))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* (sqrt x) (/ 1 y))
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
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))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y 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))
(/ 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 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))
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))
(/.f64 x (*.f64 y y))
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))
(/.f64 x (*.f64 y y))
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))
(/.f64 x (*.f64 y y))
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))
(/.f64 x (*.f64 y y))
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (/ 1 y)))
(-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 x) y))
(* -1 (* (sqrt x) (/ 1 y)))
(-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 x) y))
(* -1 (* (sqrt x) (/ 1 y)))
(-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 x) y))
(* -1 (* (sqrt x) (/ 1 y)))
(-.f64 #s(literal 0 binary64) (/.f64 (sqrt.f64 x) y))
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* (sqrt x) (/ 1 y))
(/.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(/.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(/.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(/.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt x) (/ (pow (sqrt -1) 2) y)))
(/.f64 (sqrt.f64 x) 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)

eval169.0ms (4%)

Compiler

Compiled 15747 to 1620 computations (89.7% saved)

prune108.0ms (2.6%)

Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New120201202
Fresh000
Picked044
Done044
Total120281210
Accuracy
100.0%
Counts
1210 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓27.2%
(pow.f64 (pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
✓52.6%
(/.f64 (/.f64 x y) y)
✓52.6%
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
✓47.7%
(/.f64 x (*.f64 y y))
✓94.9%
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
✓99.9%
(+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))
✓47.1%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x)
✓49.1%
#s(literal -3 binary64)
Compiler

Compiled 149 to 68 computations (54.4% saved)

regimes73.0ms (1.7%)

Counts
11 → 1
Calls
Call 1
Inputs
#s(literal -3 binary64)
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x)
(+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
(-.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x) #s(literal 3 binary64))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(-.f64 (*.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))) #s(literal 3 binary64))
Outputs
(+.f64 (/.f64 (/.f64 x y) y) #s(literal -3 binary64))
Calls

5 calls:

58.0ms
(/.f64 x (*.f64 y y))
4.0ms
y
4.0ms
x
4.0ms
(*.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)

regimes8.0ms (0.2%)

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

4 calls:

2.0ms
y
2.0ms
x
2.0ms
(*.f64 y y)
2.0ms
(/.f64 x (*.f64 y y))
Results
AccuracySegmentsBranch
66.2%3x
88.0%2y
98.6%3(/.f64 x (*.f64 y y))
88.0%2(*.f64 y y)
Compiler

Compiled 18 to 11 computations (38.9% saved)

regimes2.0ms (0%)

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

1 calls:

1.0ms
(/.f64 x (*.f64 y y))
Results
AccuracySegmentsBranch
93.7%3(/.f64 x (*.f64 y y))
Compiler

Compiled 7 to 4 computations (42.9% saved)

regimes24.0ms (0.6%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal -3 binary64)
Outputs
#s(literal -3 binary64)
Calls

2 calls:

22.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
49.1%1x
49.1%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
6.634430824412944e-20
3771.0743796145975
0.0ms
-2632.227686438051
-0.21958713052240483
Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch22.0ms (0.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
12.0ms
6.634430824412944e-20
3771.0743796145975
9.0ms
-2632.227686438051
-0.21958713052240483
Results
11.0ms304×0valid
Compiler

Compiled 166 to 143 computations (13.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-sub: 2.0ms (90.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify9.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01954
12654
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 -2000 binary64)) (/.f64 (/.f64 x y) y) (if (<=.f64 (/.f64 x (*.f64 y y)) #s(literal 2076918743413931/20769187434139310514121985316880384 binary64)) #s(literal -3 binary64) (/.f64 (/.f64 x y) y)))
(if (<=.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) (/.f64 x (*.f64 y y)) (if (<=.f64 (/.f64 x (*.f64 y y)) #s(literal 3 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 -2000 binary64)) (/.f64 (/.f64 x y) y) (if (<=.f64 (/.f64 x (*.f64 y y)) #s(literal 2076918743413931/20769187434139310514121985316880384 binary64)) #s(literal -3 binary64) (/.f64 (/.f64 x y) y)))
(if (<=.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) (/.f64 x (*.f64 y y)) (if (<=.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #s(literal -3 binary64) (/.f64 x (*.f64 y y))))
#s(literal -3 binary64)

soundness760.0ms (18%)

Rules
4656×*-lowering-*.f32
4656×*-lowering-*.f64
2934×/-lowering-/.f32
2934×/-lowering-/.f64
1876×fnmadd-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022636
148534
2112534
3281534
4634534
51123534
62003534
73275534
85549534
97349534
08100534
01957
112854
298354
0848254
066
1126
2136
0136
Stop Event
1×done
1×iter limit
1×saturated
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 148 to 76 computations (48.6% saved)

preprocess63.0ms (1.5%)

Remove

(abs y)

Compiler

Compiled 200 to 86 computations (57% saved)

end0.0ms (0%)

Profiling

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