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

Time bar (total: 5.0s)

analyze16.0ms (0.3%)

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

Compiled 10 to 7 computations (30% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 3.0ms (45.3% of total)
ival-div: 2.0ms (30.2% of total)
ival-sub: 1.0ms (15.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample773.0ms (15.5%)

Results
531.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 259.0ms
ival-mult: 129.0ms (49.7% of total)
ival-div: 77.0ms (29.7% of total)
ival-sub: 41.0ms (15.8% of total)
const: 10.0ms (3.9% of total)
backward-pass: 3.0ms (1.2% of total)
Bogosity

preprocess69.0ms (1.4%)

Algorithm
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
01846
14744
211842
332442
489142
5204042
6325242
7393542
8404542
9414442
10420442
11423242
067
1117
2127
0127
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(- (/ x (* y y)) 3)
Outputs
(- (/ x (* y y)) 3)
(+.f64 (/.f64 x (*.f64 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)
(+ (/ x (* y y)) -3)
(- (/ (neg x) (* y y)) 3)
(- -3 (/ x (* y y)))
(- (/ x (* (neg y) (neg y))) 3)
(+ (/ x (* y y)) -3)
(neg (- (/ (neg x) (* y y)) 3))
(+ (/ x (* y y)) 3)
(neg (- (/ x (* (neg y) (neg y))) 3))
(- 3 (/ x (* y y)))
(- (/ y (* x x)) 3)
(fmsub (/ y x) (recip x) 3)
Symmetry

(abs y)

explain61.0ms (1.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
340-0-(/.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
37.0ms512×0valid
Compiler

Compiled 51 to 20 computations (60.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-div: 6.0ms (42.6% of total)
ival-mult: 5.0ms (35.5% of total)
ival-sub: 3.0ms (21.3% of total)
const: 1.0ms (7.1% 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
94.2%
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Localize:

Found 3 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))
Rules
/-lowering-/.f32
/-lowering-/.f64
+-lowering-+.f64
+-lowering-+.f32
*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
11118
21218
01218
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(- (/ x (* y y)) 3)
(/ x (* y y))
x
(* y y)
y
3
Outputs
(- (/ x (* y y)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(/ x (* y y))
(/.f64 x (*.f64 y y))
x
(* y y)
(*.f64 y y)
y
3
#s(literal 3 binary64)

localize24.0ms (0.5%)

Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
accuracy100.0%
(*.f64 y y)
accuracy87.9%
(/.f64 x (*.f64 y y))
Results
17.0ms256×0valid
Compiler

Compiled 21 to 7 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 4.0ms (51.7% of total)
ival-div: 2.0ms (25.8% of total)
ival-sub: 1.0ms (12.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series4.0ms (0.1%)

Counts
3 → 60
Calls
Call 1
Inputs
#<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 (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

15 calls:

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

rewrite313.0ms (6.3%)

Algorithm
batch-egg-rewrite
Rules
3034×*-lowering-*.f32
3034×*-lowering-*.f64
2052×/-lowering-/.f32
2052×/-lowering-/.f64
1588×pow-lowering-pow.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0615
13514
229314
3337114
0815914
Stop Event
iter limit
node limit
Counts
3 → 160
Calls
Call 1
Inputs
(- (/ x (* y y)) 3)
(/ x (* y y))
(* y 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 (/.f64 (*.f64 y (*.f64 y y)) x)) x)) (+.f64 (/.f64 x (*.f64 y (/.f64 (*.f64 y (*.f64 y y)) x))) (+.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 (*.f64 y (*.f64 y y)) x))) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y))))))))
(+.f64 (/.f64 (/.f64 x (*.f64 y (/.f64 (*.f64 y (*.f64 y y)) x))) (+.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)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(-.f64 #s(literal -3 binary64) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) y) y))
(-.f64 (/.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 (*.f64 y (/.f64 (*.f64 y (*.f64 y y)) x)) x)) (+.f64 (/.f64 x (*.f64 y (/.f64 (*.f64 y (*.f64 y y)) x))) (+.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 (*.f64 y (*.f64 y y)) x))) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y)))))))
(-.f64 (/.f64 (/.f64 x (*.f64 y (/.f64 (*.f64 y (*.f64 y y)) x))) (+.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 (/.f64 x (*.f64 y y)) (/.f64 (*.f64 y (/.f64 (*.f64 y (*.f64 y y)) x)) x)) (+.f64 (/.f64 x (*.f64 y (/.f64 (*.f64 y (*.f64 y y)) x))) (-.f64 #s(literal 9 binary64) (*.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))))) (/.f64 #s(literal 27 binary64) (+.f64 (/.f64 x (*.f64 y (/.f64 (*.f64 y (*.f64 y y)) x))) (-.f64 #s(literal 9 binary64) (*.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64))
(fma.f64 x (/.f64 (/.f64 (/.f64 x (*.f64 y y)) (*.f64 y 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)))))
(fma.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64) #s(literal -3 binary64))
(fma.f64 (/.f64 x (*.f64 y y)) (/.f64 (/.f64 x (*.f64 y 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)))))
(fma.f64 (/.f64 x (*.f64 y y)) (/.f64 (/.f64 x (*.f64 y (/.f64 (*.f64 y (*.f64 y y)) x))) (+.f64 (/.f64 x (*.f64 y (/.f64 (*.f64 y (*.f64 y y)) x))) (+.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 (*.f64 y (*.f64 y y)) x))) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y))))))))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal -3 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal 1 binary64)) #s(literal -3 binary64))
(fma.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 (*.f64 y (/.f64 (*.f64 y (*.f64 y y)) x)) x)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (*.f64 y (/.f64 (*.f64 y (*.f64 y y)) x))) (+.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 (*.f64 y (*.f64 y y)) x))) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y))))))))
(fma.f64 (/.f64 x (*.f64 y (/.f64 (*.f64 y (*.f64 y y)) x))) (/.f64 #s(literal 1 binary64) (+.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)))))
(fma.f64 (/.f64 x (*.f64 y (/.f64 (*.f64 y (*.f64 y y)) x))) (/.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x (*.f64 y (/.f64 (*.f64 y (*.f64 y y)) x))) (+.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 (*.f64 y (*.f64 y y)) x))) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y))))))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x #s(literal -3 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64))
(fma.f64 (/.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal -3 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) y) y) #s(literal -3 binary64))
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (+.f64 (/.f64 x (*.f64 y (/.f64 (*.f64 y (*.f64 y y)) x))) (+.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 (*.f64 y (*.f64 y y)) x))) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y))))))))
(fma.f64 (*.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y 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)))))
(fma.f64 (/.f64 x (/.f64 y (/.f64 x y))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y 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)))))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) #s(literal -3 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y) #s(literal -3 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (-.f64 #s(literal 0 binary64) x) #s(literal -3 binary64))
(fma.f64 (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 3/2 binary64)) (+.f64 (/.f64 x (*.f64 y (/.f64 (*.f64 y (*.f64 y y)) x))) (+.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 (*.f64 y (*.f64 y y)) x))) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y))))))))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 #s(literal 0 binary64) x) y) #s(literal -3 binary64))
(fma.f64 (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1/2 binary64)) #s(literal -3 binary64))
(fma.f64 (/.f64 (/.f64 x (*.f64 y (/.f64 (*.f64 y (*.f64 y y)) x))) (+.f64 (/.f64 x (*.f64 y (/.f64 (*.f64 y (*.f64 y y)) x))) #s(literal -9 binary64))) (+.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)))))
(fma.f64 (/.f64 (/.f64 x (*.f64 y (/.f64 (*.f64 y (*.f64 y y)) x))) (+.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 (*.f64 y (/.f64 (*.f64 y (*.f64 y y)) x)) x)) #s(literal 27 binary64))) (+.f64 (/.f64 x (*.f64 y (/.f64 (*.f64 y (*.f64 y y)) x))) (+.f64 #s(literal 9 binary64) (*.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)))))
(fma.f64 (/.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 (*.f64 y (/.f64 (*.f64 y (*.f64 y y)) x)) x)) (+.f64 (/.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 (*.f64 y (/.f64 (*.f64 y (*.f64 y y)) x)) x)) (/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y)))) (*.f64 (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.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 (/.f64 (*.f64 y (*.f64 y y)) x)) x)) (/.f64 y (/.f64 x y))) (*.f64 (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y)))) (-.f64 (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y)))) (/.f64 x (*.f64 y (/.f64 (*.f64 y (*.f64 y y)) x)))))) (neg.f64 (/.f64 #s(literal 27 binary64) (+.f64 (/.f64 x (*.f64 y (/.f64 (*.f64 y (*.f64 y y)) x))) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y))))))))
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(/.f64 (*.f64 (+.f64 (/.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 (*.f64 y (/.f64 (*.f64 y (*.f64 y y)) x)) x)) (/.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 (/.f64 x (*.f64 y y)) (/.f64 (*.f64 y (/.f64 (*.f64 y (*.f64 y y)) x)) x)) (/.f64 y (/.f64 x y))) #s(literal 81 binary64)) (/.f64 #s(literal 9 binary64) (/.f64 (*.f64 y (/.f64 (*.f64 y (*.f64 y y)) x)) x))))
(/.f64 (*.f64 (+.f64 (/.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 (*.f64 y (/.f64 (*.f64 y (*.f64 y y)) x)) x)) (/.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 (/.f64 x (*.f64 y (/.f64 (*.f64 y (*.f64 y y)) x))) #s(literal 9 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 x (*.f64 y (/.f64 (*.f64 y (*.f64 y y)) x))) (-.f64 #s(literal 9 binary64) (*.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)))) (+.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 (*.f64 y (/.f64 (*.f64 y (*.f64 y y)) x)) x)) #s(literal -27 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (+.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 (*.f64 y (/.f64 (*.f64 y (*.f64 y y)) x)) x)) #s(literal -27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (*.f64 y (/.f64 (*.f64 y (*.f64 y y)) x))) (+.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 (/.f64 (*.f64 y (*.f64 y y)) x)) x)) #s(literal -27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (*.f64 y (/.f64 (*.f64 y (*.f64 y y)) x))) (-.f64 #s(literal 9 binary64) (*.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))))))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)))
(*.f64 (+.f64 (/.f64 x (*.f64 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 (neg.f64 (/.f64 x (*.f64 y (/.f64 (*.f64 y (*.f64 y y)) x)))) #s(literal 9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) y) y))))
(*.f64 (+.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 (*.f64 y (/.f64 (*.f64 y (*.f64 y y)) x)) x)) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 x (*.f64 y (/.f64 (*.f64 y (*.f64 y y)) x))) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (*.f64 y (/.f64 (*.f64 y (*.f64 y y)) x))) (+.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 (/.f64 (*.f64 y (*.f64 y y)) x)) x)) #s(literal -27 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) (+.f64 (/.f64 x (*.f64 y (/.f64 (*.f64 y (*.f64 y y)) x))) #s(literal -9 binary64)))
(*.f64 (/.f64 (+.f64 (/.f64 x (*.f64 y (/.f64 (*.f64 y (*.f64 y y)) x))) #s(literal -9 binary64)) (+.f64 (/.f64 x (*.f64 y (/.f64 (*.f64 y (*.f64 y y)) x))) #s(literal -9 binary64))) (+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)))
(*.f64 (/.f64 (+.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 (*.f64 y (/.f64 (*.f64 y (*.f64 y y)) x)) x)) #s(literal -27 binary64)) (+.f64 (/.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 (*.f64 y (/.f64 (*.f64 y (*.f64 y y)) x)) x)) (/.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y)))) (*.f64 (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.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 (/.f64 (*.f64 y (*.f64 y y)) x)) x)) (/.f64 y (/.f64 x y))) (*.f64 (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y)))) (-.f64 (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y)))) (/.f64 x (*.f64 y (/.f64 (*.f64 y (*.f64 y y)) x)))))))
(*.f64 (/.f64 (+.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 (*.f64 y (/.f64 (*.f64 y (*.f64 y y)) x)) x)) #s(literal -27 binary64)) (*.f64 (+.f64 (/.f64 x (*.f64 y (/.f64 (*.f64 y (*.f64 y y)) x))) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y))))) (-.f64 (/.f64 x (*.f64 y (/.f64 (*.f64 y (*.f64 y y)) x))) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y))))))) (-.f64 (/.f64 x (*.f64 y (/.f64 (*.f64 y (*.f64 y y)) x))) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y))))))
(*.f64 (/.f64 (+.f64 (/.f64 x (*.f64 y (/.f64 (*.f64 y (*.f64 y y)) x))) #s(literal -9 binary64)) (+.f64 (/.f64 (/.f64 x (*.f64 y y)) (/.f64 (*.f64 y (/.f64 (*.f64 y (*.f64 y y)) x)) x)) #s(literal 27 binary64))) (+.f64 (/.f64 x (*.f64 y (/.f64 (*.f64 y (*.f64 y y)) x))) (+.f64 #s(literal 9 binary64) (*.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)))))
(exp.f64 (log.f64 (/.f64 x (*.f64 y y))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 y y))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) y) y))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) y) y))
(neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) y) y))
(neg.f64 (*.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) y) y) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) y) y)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (/.f64 x y))))
(/.f64 x (*.f64 y 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) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 x y) y)
(/.f64 (/.f64 x y) (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 x y))))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) y) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (*.f64 y y))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) y)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) y) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (exp.f64 (log.f64 x)) (*.f64 y y))
(/.f64 (exp.f64 (log.f64 (/.f64 x y))) y)
(/.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)))))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 x y))))))
(/.f64 (exp.f64 (log.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) y))) (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) 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 y (/.f64 (*.f64 y (*.f64 y y)) x)) x) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 y (/.f64 x y))))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y y)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (exp.f64 (log.f64 x)))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) y) y))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 #s(literal 0 binary64) x) 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 (exp.f64 (log.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (exp.f64 (log.f64 (/.f64 x y))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (exp.f64 (log.f64 (-.f64 #s(literal 0 binary64) x))) (exp.f64 (log.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(/.f64 y (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) (*.f64 y y)))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y))
(*.f64 y y)
(*.f64 y (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(*.f64 y (/.f64 y #s(literal 1 binary64)))
(*.f64 (*.f64 y y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 y y))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) y))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y)) y)

simplify124.0ms (2.5%)

Algorithm
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: 0 (0.0ms)

IterNodesCost
021300
147300
2111300
3278300
4632300
51117300
61992300
73254300
85527300
97323300
08074300
Stop Event
iter limit
node limit
Counts
60 → 60
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))
(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 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))
(- (/ x (pow y 2)) 3)
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))
(- (/ x (pow y 2)) 3)
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))
-3
#s(literal -3 binary64)
(- (/ x (pow y 2)) 3)
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))
(- (/ x (pow y 2)) 3)
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))
(- (/ x (pow y 2)) 3)
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))
-3
#s(literal -3 binary64)
(- (/ x (pow y 2)) 3)
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))
(- (/ x (pow y 2)) 3)
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))
(- (/ x (pow y 2)) 3)
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 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)

eval24.0ms (0.5%)

Compiler

Compiled 5601 to 466 computations (91.7% saved)

prune25.0ms (0.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New2146220
Fresh000
Picked101
Done000
Total2156221
Accuracy
100.0%
Counts
221 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.4%
(/.f64 x (*.f64 y y))
61.9%
(-.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64))
100.0%
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
99.9%
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #s(literal 3 binary64))
99.8%
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y))) #s(literal 3 binary64))
51.3%
#s(literal -3 binary64)
Compiler

Compiled 108 to 78 computations (27.8% saved)

simplify8.0ms (0.2%)

Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01774
12974
24674
36374
48874
511974
611974
011974
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(- (/ (/ x y) y) 3)
(/ (/ x y) y)
(/ x y)
x
y
3
-3
(/ x (* y y))
x
(* y y)
y
(- (/ 1 (/ y (/ x y))) 3)
(/ 1 (/ y (/ x y)))
1
(/ y (/ x y))
y
(/ x y)
x
3
(- (/ (/ 1 y) (/ y x)) 3)
(/ (/ 1 y) (/ y x))
(/ 1 y)
1
y
(/ y x)
x
3
Outputs
(- (/ (/ x y) y) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(/ (/ x y) y)
(/.f64 x (*.f64 y y))
(/ x y)
(/.f64 x y)
x
y
3
#s(literal 3 binary64)
-3
#s(literal -3 binary64)
(/ x (* y y))
(/.f64 x (*.f64 y y))
x
(* y y)
(*.f64 y y)
y
(- (/ 1 (/ y (/ x y))) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(/ 1 (/ y (/ x y)))
(/.f64 x (*.f64 y y))
1
#s(literal 1 binary64)
(/ y (/ x y))
(/.f64 y (/.f64 x y))
y
(/ x y)
(/.f64 x y)
x
3
#s(literal 3 binary64)
(- (/ (/ 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)

localize77.0ms (1.5%)

Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 y x)
accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
accuracy100.0%
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #s(literal 3 binary64))
accuracy99.7%
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
accuracy100.0%
(/.f64 x y)
accuracy100.0%
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y))) #s(literal 3 binary64))
accuracy99.8%
(/.f64 y (/.f64 x y))
accuracy99.1%
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
accuracy100.0%
(*.f64 y y)
accuracy87.9%
(/.f64 x (*.f64 y y))
accuracy100.0%
(/.f64 x y)
accuracy100.0%
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
accuracy99.9%
(/.f64 (/.f64 x y) y)
Results
57.0ms256×0valid
Compiler

Compiled 86 to 18 computations (79.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-div: 13.0ms (67.2% of total)
ival-sub: 4.0ms (20.7% of total)
ival-mult: 2.0ms (10.3% of total)
const: 1.0ms (5.2% of total)
backward-pass: 0.0ms (0% of total)

series11.0ms (0.2%)

Counts
12 → 264
Calls
Call 1
Inputs
#<alt (- (/ (/ x y) y) 3)>
#<alt (/ (/ x y) y)>
#<alt (/ x y)>
#<alt (/ x (* y y))>
#<alt (* y y)>
#<alt (- (/ 1 (/ y (/ x y))) 3)>
#<alt (/ 1 (/ y (/ x y)))>
#<alt (/ y (/ x y))>
#<alt (- (/ (/ 1 y) (/ y x)) 3)>
#<alt (/ (/ 1 y) (/ y x))>
#<alt (/ 1 y)>
#<alt (/ y x)>
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 (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (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 (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ x (pow y 2))>
#<alt (/ (+ x (* -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)>
Calls

66 calls:

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

rewrite232.0ms (4.7%)

Algorithm
batch-egg-rewrite
Rules
3950×*-lowering-*.f32
3950×*-lowering-*.f64
2222×/-lowering-/.f32
2222×/-lowering-/.f64
694×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01657
110554
291154
3799354
0815354
Stop Event
iter limit
node limit
Counts
12 → 612
Calls
Call 1
Inputs
(- (/ (/ x y) y) 3)
(/ (/ x y) y)
(/ x y)
(/ x (* y y))
(* y y)
(- (/ 1 (/ y (/ x y))) 3)
(/ 1 (/ y (/ x y)))
(/ y (/ x y))
(- (/ (/ 1 y) (/ y x)) 3)
(/ (/ 1 y) (/ y x))
(/ 1 y)
(/ y x)
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 (/.f64 x y) (/.f64 (*.f64 y y) (/.f64 x y))) (/.f64 y (/.f64 x y))) (+.f64 (/.f64 (/.f64 x y) (/.f64 (*.f64 y 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 (/.f64 x y) (/.f64 (*.f64 y y) (/.f64 x y))) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y))))))))
(+.f64 (/.f64 (/.f64 (/.f64 x y) (/.f64 (*.f64 y 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 (/.f64 x y) (-.f64 #s(literal 0 binary64) y)))
(-.f64 (/.f64 (/.f64 (/.f64 (/.f64 x y) (/.f64 (*.f64 y y) (/.f64 x y))) (/.f64 y (/.f64 x y))) (+.f64 (/.f64 (/.f64 x y) (/.f64 (*.f64 y 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 (/.f64 x y) (/.f64 (*.f64 y y) (/.f64 x y))) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y)))))))
(-.f64 (/.f64 (/.f64 (/.f64 x y) (/.f64 (*.f64 y 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 (/.f64 (/.f64 (/.f64 x y) (/.f64 (*.f64 y y) (/.f64 x y))) (/.f64 y (/.f64 x y))) (+.f64 (/.f64 (/.f64 x y) (/.f64 (*.f64 y y) (/.f64 x y))) (-.f64 #s(literal 9 binary64) (*.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))))) (/.f64 #s(literal 27 binary64) (+.f64 (/.f64 (/.f64 x y) (/.f64 (*.f64 y y) (/.f64 x y))) (-.f64 #s(literal 9 binary64) (*.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))))))
(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 x (*.f64 y y)) #s(literal 1 binary64) #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 #s(literal -1 binary64) (/.f64 (/.f64 x y) (-.f64 #s(literal 0 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 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 #s(literal 0 binary64) x) y) #s(literal -3 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) y) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x #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 (/.f64 #s(literal -1 binary64) y) y) (-.f64 #s(literal 0 binary64) x) #s(literal -3 binary64))
(neg.f64 (/.f64 (+.f64 (/.f64 (/.f64 (/.f64 x y) (/.f64 (*.f64 y y) (/.f64 x y))) (/.f64 y (/.f64 x y))) #s(literal -27 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (/.f64 x y) (/.f64 (*.f64 y y) (/.f64 x y))) (+.f64 #s(literal 9 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (/.f64 x y))))))))
(neg.f64 (/.f64 (+.f64 (/.f64 (/.f64 x y) (/.f64 (*.f64 y y) (/.f64 x y))) #s(literal -9 binary64)) (+.f64 #s(literal -3 binary64) (/.f64 (/.f64 x y) (-.f64 #s(literal 0 binary64) y)))))
(neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (/.f64 (/.f64 x y) (/.f64 (*.f64 y y) (/.f64 x y))) (/.f64 y (/.f64 x y)))) #s(literal 27 binary64)) (+.f64 (/.f64 (/.f64 x y) (/.f64 (*.f64 y 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 (/.f64 x y) (/.f64 (*.f64 y 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)))
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simplify140.0ms (2.8%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0251236
1521236
21151236
32841236
46421236
511521236
621941236
737261236
865751236
979751236
080381236
Stop Event
iter limit
node limit
Counts
264 → 264
Calls
Call 1
Inputs
-3
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(- (/ x (pow y 2)) 3)
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(- (/ 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)
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)
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 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 y)) #s(literal -3 binary64))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
-3
#s(literal -3 binary64)
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
-3
#s(literal -3 binary64)
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
-3
#s(literal -3 binary64)
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
-3
#s(literal -3 binary64)
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
-3
#s(literal -3 binary64)
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
-3
#s(literal -3 binary64)
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ 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)

eval200.0ms (4%)

Compiler

Compiled 16275 to 1006 computations (93.8% saved)

prune128.0ms (2.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New9314935
Fresh101
Picked235
Done000
Total9347941
Accuracy
100.0%
Counts
941 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.2%
(/.f64 (/.f64 x y) y)
50.1%
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
61.5%
(/.f64 (-.f64 #s(literal 9 binary64) (/.f64 (/.f64 x y) (/.f64 (*.f64 y y) (/.f64 x y)))) (-.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))))
44.4%
(/.f64 x (*.f64 y y))
50.1%
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
100.0%
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
51.3%
#s(literal -3 binary64)
Compiler

Compiled 67 to 41 computations (38.8% saved)

simplify186.0ms (3.7%)

Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x y)
cost-diff0
(/.f64 (/.f64 x y) y)
cost-diff0
(/.f64 y x)
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff128
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
cost-diff0
(/.f64 x y)
cost-diff0
(/.f64 (/.f64 x y) (/.f64 (*.f64 y y) (/.f64 x y)))
cost-diff0
(-.f64 #s(literal 9 binary64) (/.f64 (/.f64 x y) (/.f64 (*.f64 y y) (/.f64 x y))))
cost-diff0
(/.f64 (-.f64 #s(literal 9 binary64) (/.f64 (/.f64 x y) (/.f64 (*.f64 y y) (/.f64 x y)))) (-.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))))
cost-diff0
(/.f64 x y)
cost-diff0
(/.f64 y (/.f64 x y))
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
Rules
3296×*-lowering-*.f32
3296×*-lowering-*.f64
1788×/-lowering-/.f32
1788×/-lowering-/.f64
1712×+-lowering-+.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
019117
141117
2106111
3306103
4136397
5387397
0833397
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ 1 (/ y (/ x y)))
1
(/ y (/ x y))
y
(/ x y)
x
(/ (- 9 (/ (/ x y) (/ (* y y) (/ x y)))) (- -3 (/ x (* y y))))
(- 9 (/ (/ x y) (/ (* y y) (/ x y))))
9
(/ (/ x y) (/ (* y y) (/ x y)))
(/ x y)
x
y
(/ (* y y) (/ x y))
(* y y)
(- -3 (/ x (* y y)))
-3
(/ x (* y y))
(/ (/ 1 y) (/ y x))
(/ 1 y)
1
y
(/ y x)
x
(/ (/ x y) y)
(/ x y)
x
y
Outputs
(/ 1 (/ y (/ x y)))
(/.f64 x (*.f64 y y))
1
#s(literal 1 binary64)
(/ y (/ x y))
(/.f64 y (/.f64 x y))
y
(/ x y)
(/.f64 x y)
x
(/ (- 9 (/ (/ x y) (/ (* y y) (/ x y)))) (- -3 (/ x (* y y))))
(/.f64 (-.f64 #s(literal 9 binary64) (/.f64 x (*.f64 y (/.f64 y (/.f64 x (*.f64 y y)))))) (-.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))))
(- 9 (/ (/ x y) (/ (* y y) (/ x y))))
(-.f64 #s(literal 9 binary64) (/.f64 x (*.f64 y (/.f64 y (/.f64 x (*.f64 y y))))))
9
#s(literal 9 binary64)
(/ (/ x y) (/ (* y y) (/ x y)))
(/.f64 x (*.f64 y (/.f64 y (/.f64 x (*.f64 y y)))))
(/ x y)
(/.f64 x y)
x
y
(/ (* y y) (/ x y))
(/.f64 y (/.f64 x (*.f64 y y)))
(* y y)
(*.f64 y y)
(- -3 (/ x (* y y)))
(-.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))
-3
#s(literal -3 binary64)
(/ x (* y y))
(/.f64 x (*.f64 y y))
(/ (/ 1 y) (/ y x))
(/.f64 x (*.f64 y y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y
(/ y x)
(/.f64 y x)
x
(/ (/ x y) y)
(/.f64 x (*.f64 y y))
(/ x y)
(/.f64 x y)
x
y

localize108.0ms (2.2%)

Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
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)
accuracy99.7%
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
accuracy99.2%
(/.f64 (/.f64 x y) (/.f64 (*.f64 y y) (/.f64 x y)))
accuracy97.7%
(/.f64 (*.f64 y y) (/.f64 x y))
accuracy87.9%
(/.f64 x (*.f64 y y))
accuracy65.6%
(/.f64 (-.f64 #s(literal 9 binary64) (/.f64 (/.f64 x y) (/.f64 (*.f64 y y) (/.f64 x y)))) (-.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))))
accuracy100.0%
(/.f64 x y)
accuracy99.8%
(/.f64 y (/.f64 x y))
accuracy99.1%
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
Results
68.0ms256×0valid
Compiler

Compiled 121 to 20 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-div: 17.0ms (74.8% of total)
ival-sub: 2.0ms (8.8% of total)
ival-mult: 2.0ms (8.8% of total)
const: 1.0ms (4.4% of total)
backward-pass: 0.0ms (0% of total)

series12.0ms (0.2%)

Counts
12 → 276
Calls
Call 1
Inputs
#<alt (/ 1 (/ y (/ x y)))>
#<alt (/ y (/ x y))>
#<alt (/ x y)>
#<alt (/ (- 9 (/ (/ x y) (/ (* y y) (/ x y)))) (- -3 (/ x (* y y))))>
#<alt (- 9 (/ (/ x y) (/ (* y y) (/ x y))))>
#<alt (/ (/ x y) (/ (* y y) (/ x y)))>
#<alt (/ (/ 1 y) (/ y x))>
#<alt (/ 1 y)>
#<alt (/ y x)>
#<alt (/ (/ x y) y)>
#<alt (/ x (* y y))>
#<alt (/ (* y 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 (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ (pow y 2) x)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt -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 9>
#<alt (+ 9 (* -1 (/ (pow x 2) (pow y 4))))>
#<alt (+ 9 (* -1 (/ (pow x 2) (pow y 4))))>
#<alt (+ 9 (* -1 (/ (pow x 2) (pow y 4))))>
#<alt (* -1 (/ (pow x 2) (pow y 4)))>
#<alt (* (pow x 2) (- (* 9 (/ 1 (pow x 2))) (/ 1 (pow y 4))))>
#<alt (* (pow x 2) (- (* 9 (/ 1 (pow x 2))) (/ 1 (pow y 4))))>
#<alt (* (pow x 2) (- (* 9 (/ 1 (pow x 2))) (/ 1 (pow y 4))))>
#<alt (* -1 (/ (pow x 2) (pow y 4)))>
#<alt (* (pow x 2) (- (* 9 (/ 1 (pow x 2))) (/ 1 (pow y 4))))>
#<alt (* (pow x 2) (- (* 9 (/ 1 (pow x 2))) (/ 1 (pow y 4))))>
#<alt (* (pow x 2) (- (* 9 (/ 1 (pow x 2))) (/ 1 (pow y 4))))>
#<alt (* -1 (/ (pow x 2) (pow y 4)))>
#<alt (/ (- (* 9 (pow y 4)) (pow x 2)) (pow y 4))>
#<alt (/ (- (* 9 (pow y 4)) (pow x 2)) (pow y 4))>
#<alt (/ (- (* 9 (pow y 4)) (pow x 2)) (pow y 4))>
#<alt 9>
#<alt (+ 9 (* -1 (/ (pow x 2) (pow y 4))))>
#<alt (+ 9 (* -1 (/ (pow x 2) (pow y 4))))>
#<alt (+ 9 (* -1 (/ (pow x 2) (pow y 4))))>
#<alt 9>
#<alt (+ 9 (* -1 (/ (pow x 2) (pow y 4))))>
#<alt (+ 9 (* -1 (/ (pow x 2) (pow y 4))))>
#<alt (+ 9 (* -1 (/ (pow x 2) (pow y 4))))>
#<alt (/ (pow x 2) (pow y 4))>
#<alt (/ (pow x 2) (pow y 4))>
#<alt (/ (pow x 2) (pow y 4))>
#<alt (/ (pow x 2) (pow y 4))>
#<alt (/ (pow x 2) (pow y 4))>
#<alt (/ (pow x 2) (pow y 4))>
#<alt (/ (pow x 2) (pow y 4))>
#<alt (/ (pow x 2) (pow y 4))>
#<alt (/ (pow x 2) (pow y 4))>
#<alt (/ (pow x 2) (pow y 4))>
#<alt (/ (pow x 2) (pow y 4))>
#<alt (/ (pow x 2) (pow y 4))>
#<alt (/ (pow x 2) (pow y 4))>
#<alt (/ (pow x 2) (pow y 4))>
#<alt (/ (pow x 2) (pow y 4))>
#<alt (/ (pow x 2) (pow y 4))>
#<alt (/ (pow x 2) (pow y 4))>
#<alt (/ (pow x 2) (pow y 4))>
#<alt (/ (pow x 2) (pow y 4))>
#<alt (/ (pow x 2) (pow y 4))>
#<alt (/ (pow x 2) (pow y 4))>
#<alt (/ (pow x 2) (pow y 4))>
#<alt (/ (pow x 2) (pow y 4))>
#<alt (/ (pow x 2) (pow y 4))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (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 (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (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 3) x)>
#<alt (/ (pow y 3) x)>
#<alt (/ (pow y 3) x)>
#<alt (/ (pow y 3) x)>
#<alt (/ (pow y 3) x)>
#<alt (/ (pow y 3) x)>
#<alt (/ (pow y 3) x)>
#<alt (/ (pow y 3) x)>
#<alt (/ (pow y 3) x)>
#<alt (/ (pow y 3) x)>
#<alt (/ (pow y 3) x)>
#<alt (/ (pow y 3) x)>
#<alt (/ (pow y 3) x)>
#<alt (/ (pow y 3) x)>
#<alt (/ (pow y 3) x)>
#<alt (/ (pow y 3) x)>
#<alt (/ (pow y 3) x)>
#<alt (/ (pow y 3) x)>
#<alt (/ (pow y 3) x)>
#<alt (/ (pow y 3) x)>
#<alt (/ (pow y 3) x)>
#<alt (/ (pow y 3) x)>
#<alt (/ (pow y 3) x)>
#<alt (/ (pow y 3) x)>
Calls

69 calls:

TimeVariablePointExpression
2.0ms
x
@0
(/ (- 9 (/ (/ x y) (/ (* y y) (/ x y)))) (- -3 (/ x (* y y))))
1.0ms
y
@0
(/ (- 9 (/ (/ x y) (/ (* y y) (/ x y)))) (- -3 (/ x (* y y))))
1.0ms
x
@inf
(/ (- 9 (/ (/ x y) (/ (* y y) (/ x y)))) (- -3 (/ x (* y y))))
1.0ms
x
@0
(/ (* y y) (/ x y))
1.0ms
y
@inf
(/ (- 9 (/ (/ x y) (/ (* y y) (/ x y)))) (- -3 (/ x (* y y))))

rewrite440.0ms (8.8%)

Algorithm
batch-egg-rewrite
Rules
4830×*-lowering-*.f32
4830×*-lowering-*.f64
3866×/-lowering-/.f32
3866×/-lowering-/.f64
2126×--lowering--.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01985
112763
2139559
0816459
Stop Event
iter limit
node limit
Counts
12 → 785
Calls
Call 1
Inputs
(/ 1 (/ y (/ x y)))
(/ y (/ x y))
(/ x y)
(/ (- 9 (/ (/ x y) (/ (* y y) (/ x y)))) (- -3 (/ x (* y y))))
(- 9 (/ (/ x y) (/ (* y y) (/ x y))))
(/ (/ x y) (/ (* y y) (/ x y)))
(/ (/ 1 y) (/ y x))
(/ 1 y)
(/ y x)
(/ (/ x y) y)
(/ x (* y y))
(/ (* y y) (/ x y))
Outputs
(exp.f64 (log.f64 (/.f64 x (*.f64 y y))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y))) (-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y y))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y y))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 y x))) (-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y y))))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 (/.f64 x y) (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
(/.f64 #s(literal -1 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) (/.f64 x y))))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y))))
(/.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 y x)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 y y))
(/.f64 (*.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (*.f64 y y))
(/.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 y y))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 y y))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x y))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(/.f64 (*.f64 (/.f64 x y) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y))))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)))))
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x y)))) (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(/.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (neg.f64 (*.f64 x #s(literal -1 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y))))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(/.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) x))) (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(pow.f64 (/.f64 y (/.f64 x y)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 y (/.f64 x (*.f64 y y))) (/.f64 x y)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y y)))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y y))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y))))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
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(*.f64 (*.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
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simplify202.0ms (4.1%)

Algorithm
egg-herbie
Rules
1536×*-lowering-*.f32
1536×*-lowering-*.f64
1420×sum3-define
1130×fma-lowering-fma.f32
1130×fma-lowering-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0421419
1941398
22041380
34771380
410581380
521281380
649851380
081201380
Stop Event
iter limit
node limit
Counts
276 → 276
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))
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ (pow y 2) x)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
-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)
9
(+ 9 (* -1 (/ (pow x 2) (pow y 4))))
(+ 9 (* -1 (/ (pow x 2) (pow y 4))))
(+ 9 (* -1 (/ (pow x 2) (pow y 4))))
(* -1 (/ (pow x 2) (pow y 4)))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) (/ 1 (pow y 4))))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) (/ 1 (pow y 4))))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) (/ 1 (pow y 4))))
(* -1 (/ (pow x 2) (pow y 4)))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) (/ 1 (pow y 4))))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) (/ 1 (pow y 4))))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) (/ 1 (pow y 4))))
(* -1 (/ (pow x 2) (pow y 4)))
(/ (- (* 9 (pow y 4)) (pow x 2)) (pow y 4))
(/ (- (* 9 (pow y 4)) (pow x 2)) (pow y 4))
(/ (- (* 9 (pow y 4)) (pow x 2)) (pow y 4))
9
(+ 9 (* -1 (/ (pow x 2) (pow y 4))))
(+ 9 (* -1 (/ (pow x 2) (pow y 4))))
(+ 9 (* -1 (/ (pow x 2) (pow y 4))))
9
(+ 9 (* -1 (/ (pow x 2) (pow y 4))))
(+ 9 (* -1 (/ (pow x 2) (pow y 4))))
(+ 9 (* -1 (/ (pow x 2) (pow y 4))))
(/ (pow x 2) (pow y 4))
(/ (pow x 2) (pow y 4))
(/ (pow x 2) (pow y 4))
(/ (pow x 2) (pow y 4))
(/ (pow x 2) (pow y 4))
(/ (pow x 2) (pow y 4))
(/ (pow x 2) (pow y 4))
(/ (pow x 2) (pow y 4))
(/ (pow x 2) (pow y 4))
(/ (pow x 2) (pow y 4))
(/ (pow x 2) (pow y 4))
(/ (pow x 2) (pow y 4))
(/ (pow x 2) (pow y 4))
(/ (pow x 2) (pow y 4))
(/ (pow x 2) (pow y 4))
(/ (pow x 2) (pow y 4))
(/ (pow x 2) (pow y 4))
(/ (pow x 2) (pow y 4))
(/ (pow x 2) (pow y 4))
(/ (pow x 2) (pow y 4))
(/ (pow x 2) (pow y 4))
(/ (pow x 2) (pow y 4))
(/ (pow x 2) (pow y 4))
(/ (pow x 2) (pow y 4))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ 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))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ 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 3) x)
(/ (pow y 3) x)
(/ (pow y 3) x)
(/ (pow y 3) x)
(/ (pow y 3) x)
(/ (pow y 3) x)
(/ (pow y 3) x)
(/ (pow y 3) x)
(/ (pow y 3) x)
(/ (pow y 3) x)
(/ (pow y 3) x)
(/ (pow y 3) x)
(/ (pow y 3) x)
(/ (pow y 3) x)
(/ (pow y 3) x)
(/ (pow y 3) x)
(/ (pow y 3) x)
(/ (pow y 3) x)
(/ (pow y 3) x)
(/ (pow y 3) x)
(/ (pow y 3) x)
(/ (pow y 3) x)
(/ (pow y 3) x)
(/ (pow y 3) 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))
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ (pow y 2) x)
(/.f64 (*.f64 y y) x)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
-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 (*.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))
9
#s(literal 9 binary64)
(+ 9 (* -1 (/ (pow x 2) (pow y 4))))
(-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))))
(+ 9 (* -1 (/ (pow x 2) (pow y 4))))
(-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))))
(+ 9 (* -1 (/ (pow x 2) (pow y 4))))
(-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))))
(* -1 (/ (pow x 2) (pow y 4)))
(/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) (/ 1 (pow y 4))))
(-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) (/ 1 (pow y 4))))
(-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) (/ 1 (pow y 4))))
(-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))))
(* -1 (/ (pow x 2) (pow y 4)))
(/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) (/ 1 (pow y 4))))
(-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) (/ 1 (pow y 4))))
(-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) (/ 1 (pow y 4))))
(-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))))
(* -1 (/ (pow x 2) (pow y 4)))
(/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 4 binary64))))
(/ (- (* 9 (pow y 4)) (pow x 2)) (pow y 4))
(-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))))
(/ (- (* 9 (pow y 4)) (pow x 2)) (pow y 4))
(-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))))
(/ (- (* 9 (pow y 4)) (pow x 2)) (pow y 4))
(-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))))
9
#s(literal 9 binary64)
(+ 9 (* -1 (/ (pow x 2) (pow y 4))))
(-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))))
(+ 9 (* -1 (/ (pow x 2) (pow y 4))))
(-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))))
(+ 9 (* -1 (/ (pow x 2) (pow y 4))))
(-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))))
9
#s(literal 9 binary64)
(+ 9 (* -1 (/ (pow x 2) (pow y 4))))
(-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))))
(+ 9 (* -1 (/ (pow x 2) (pow y 4))))
(-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))))
(+ 9 (* -1 (/ (pow x 2) (pow y 4))))
(-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64))))
(/ (pow x 2) (pow y 4))
(/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))
(/ (pow x 2) (pow y 4))
(/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))
(/ (pow x 2) (pow y 4))
(/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))
(/ (pow x 2) (pow y 4))
(/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))
(/ (pow x 2) (pow y 4))
(/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))
(/ (pow x 2) (pow y 4))
(/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))
(/ (pow x 2) (pow y 4))
(/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))
(/ (pow x 2) (pow y 4))
(/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))
(/ (pow x 2) (pow y 4))
(/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))
(/ (pow x 2) (pow y 4))
(/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))
(/ (pow x 2) (pow y 4))
(/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))
(/ (pow x 2) (pow y 4))
(/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))
(/ (pow x 2) (pow y 4))
(/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))
(/ (pow x 2) (pow y 4))
(/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))
(/ (pow x 2) (pow y 4))
(/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))
(/ (pow x 2) (pow y 4))
(/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))
(/ (pow x 2) (pow y 4))
(/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))
(/ (pow x 2) (pow y 4))
(/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))
(/ (pow x 2) (pow y 4))
(/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))
(/ (pow x 2) (pow y 4))
(/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))
(/ (pow x 2) (pow y 4))
(/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))
(/ (pow x 2) (pow y 4))
(/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))
(/ (pow x 2) (pow y 4))
(/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 binary64)))
(/ (pow x 2) (pow y 4))
(/.f64 (*.f64 x x) (pow.f64 y #s(literal 4 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))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 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 3) x)
(*.f64 y (/.f64 (*.f64 y y) x))
(/ (pow y 3) x)
(*.f64 y (/.f64 (*.f64 y y) x))
(/ (pow y 3) x)
(*.f64 y (/.f64 (*.f64 y y) x))
(/ (pow y 3) x)
(*.f64 y (/.f64 (*.f64 y y) x))
(/ (pow y 3) x)
(*.f64 y (/.f64 (*.f64 y y) x))
(/ (pow y 3) x)
(*.f64 y (/.f64 (*.f64 y y) x))
(/ (pow y 3) x)
(*.f64 y (/.f64 (*.f64 y y) x))
(/ (pow y 3) x)
(*.f64 y (/.f64 (*.f64 y y) x))
(/ (pow y 3) x)
(*.f64 y (/.f64 (*.f64 y y) x))
(/ (pow y 3) x)
(*.f64 y (/.f64 (*.f64 y y) x))
(/ (pow y 3) x)
(*.f64 y (/.f64 (*.f64 y y) x))
(/ (pow y 3) x)
(*.f64 y (/.f64 (*.f64 y y) x))
(/ (pow y 3) x)
(*.f64 y (/.f64 (*.f64 y y) x))
(/ (pow y 3) x)
(*.f64 y (/.f64 (*.f64 y y) x))
(/ (pow y 3) x)
(*.f64 y (/.f64 (*.f64 y y) x))
(/ (pow y 3) x)
(*.f64 y (/.f64 (*.f64 y y) x))
(/ (pow y 3) x)
(*.f64 y (/.f64 (*.f64 y y) x))
(/ (pow y 3) x)
(*.f64 y (/.f64 (*.f64 y y) x))
(/ (pow y 3) x)
(*.f64 y (/.f64 (*.f64 y y) x))
(/ (pow y 3) x)
(*.f64 y (/.f64 (*.f64 y y) x))
(/ (pow y 3) x)
(*.f64 y (/.f64 (*.f64 y y) x))
(/ (pow y 3) x)
(*.f64 y (/.f64 (*.f64 y y) x))
(/ (pow y 3) x)
(*.f64 y (/.f64 (*.f64 y y) x))
(/ (pow y 3) x)
(*.f64 y (/.f64 (*.f64 y y) x))

eval167.0ms (3.4%)

Compiler

Compiled 25210 to 2293 computations (90.9% saved)

prune127.0ms (2.5%)

Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New122301223
Fresh000
Picked044
Done033
Total122371230
Accuracy
100.0%
Counts
1230 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.2%
(/.f64 (/.f64 x y) y)
50.1%
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
61.5%
(/.f64 (-.f64 #s(literal 9 binary64) (/.f64 (/.f64 x y) (/.f64 (*.f64 y y) (/.f64 x y)))) (-.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))))
44.4%
(/.f64 x (*.f64 y y))
50.1%
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
100.0%
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
51.3%
#s(literal -3 binary64)
Compiler

Compiled 158 to 70 computations (55.7% saved)

regimes26.0ms (0.5%)

Counts
11 → 1
Calls
Call 1
Inputs
#s(literal -3 binary64)
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x y))) #s(literal 3 binary64))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #s(literal 3 binary64))
(/.f64 (-.f64 #s(literal 9 binary64) (/.f64 (/.f64 x y) (/.f64 (*.f64 y y) (/.f64 x y)))) (-.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y))))
(-.f64 (pow.f64 (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64))
Outputs
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
Calls

5 calls:

10.0ms
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
4.0ms
y
4.0ms
x
4.0ms
(*.f64 y y)
3.0ms
(/.f64 x (*.f64 y y))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
100.0%1(/.f64 x (*.f64 y y))
100.0%1(*.f64 y y)
Compiler

Compiled 27 to 17 computations (37% saved)

regimes12.0ms (0.2%)

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

5 calls:

4.0ms
(*.f64 y y)
2.0ms
y
2.0ms
x
2.0ms
(/.f64 x (*.f64 y y))
2.0ms
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
Results
AccuracySegmentsBranch
94.2%1x
99.9%2y
100.0%3(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
100.0%3(/.f64 x (*.f64 y y))
99.9%2(*.f64 y y)
Compiler

Compiled 27 to 17 computations (37% saved)

regimes10.0ms (0.2%)

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

3 calls:

6.0ms
(/.f64 x (*.f64 y y))
2.0ms
y
2.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
98.4%3(/.f64 x (*.f64 y y))
87.7%2y
87.7%2(*.f64 y y)
Compiler

Compiled 15 to 9 computations (40% saved)

regimes3.0ms (0.1%)

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

2 calls:

2.0ms
x
1.0ms
(/.f64 x (*.f64 y y))
Results
AccuracySegmentsBranch
69.6%3x
92.6%3(/.f64 x (*.f64 y y))
Compiler

Compiled 10 to 6 computations (40% saved)

regimes3.0ms (0.1%)

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:

1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
51.3%1x
51.3%1y
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.523387067865015e-292
1.2498539164328768e-289
Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.47924450343960445
43765.81021098395
0.0ms
-133078.6638353155
-1.0775785362947196e-12
Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch24.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
0.47924450343960445
43765.81021098395
12.0ms
-133078.6638353155
-1.0775785362947196e-12
Results
12.0ms304×0valid
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 (95.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify8.0ms (0.2%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
sub-neg_binary64
if-if-or-not_binary32
*-commutative_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02372
13272
23872
34072
44172
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(if (<=.f64 (*.f64 y y) #s(literal 5617791046444737/5617791046444737211654078721215702292556178059194708039794690036179146118921905097897139916325235500660003558745981042426837180275450519452901482207483566386805246669527046414884444362538940441232908842252656430276192208823201965046059784704400851161354703458893321819998351435577491134526104885300757004288 binary64)) (/.f64 (/.f64 x y) y) (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))
(if (<=.f64 (/.f64 x (*.f64 y y)) #s(literal -100000 binary64)) (/.f64 (/.f64 x y) y) (if (<=.f64 (/.f64 x (*.f64 y y)) #s(literal 1/2 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 y y) #s(literal 5617791046444737/5617791046444737211654078721215702292556178059194708039794690036179146118921905097897139916325235500660003558745981042426837180275450519452901482207483566386805246669527046414884444362538940441232908842252656430276192208823201965046059784704400851161354703458893321819998351435577491134526104885300757004288 binary64)) (/.f64 (/.f64 x y) y) (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))
(if (<=.f64 (/.f64 x (*.f64 y y)) #s(literal -100000 binary64)) (/.f64 (/.f64 x y) y) (if (<=.f64 (/.f64 x (*.f64 y y)) #s(literal 1/2 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)

soundness1.4s (27.5%)

Rules
3950×*-lowering-*.f32
3950×*-lowering-*.f64
3034×*-lowering-*.f32
3034×*-lowering-*.f64
2222×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0615
13514
229314
3337114
0815914
01657
110554
291154
3799354
0815354
021300
147300
2111300
3278300
4632300
51117300
61992300
73254300
85527300
97323300
08074300
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 135 to 58 computations (57% saved)

preprocess53.0ms (1.1%)

Remove

(abs y)

Compiler

Compiled 218 to 82 computations (62.4% saved)

end0.0ms (0%)

Profiling

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