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

Time bar (total: 5.6s)

analyze37.0ms (0.6%)

Memory
-20.3MiB live, 17.7MiB allocated
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 9 to 8 computations (11.1% saved)

sample884.0ms (15.7%)

Memory
1.5MiB live, 1 120.8MiB allocated
Samples
669.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 286.0ms
ival-mult: 141.0ms (49.3% of total)
ival-div: 87.0ms (30.4% of total)
ival-sub: 44.0ms (15.4% of total)
ival-true: 6.0ms (2.1% of total)
exact: 5.0ms (1.7% of total)
ival-assert: 3.0ms (1% of total)
Bogosity

preprocess45.0ms (0.8%)

Memory
14.1MiB live, 58.7MiB allocated
Algorithm
egg-herbie
Rules
720×times-frac
152×associate-/r*
146×associate-*r/
132×associate-*l*
130×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01639
14337
211535
330035
466635
5106535
6154235
7160535
8162935
9164835
10165235
067
097
1147
2157
0157
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
Outputs
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
Symmetry

(abs y)

explain114.0ms (2%)

Memory
0.6MiB live, 200.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
311(-8.358745740120769e+224 8.007343130878613e+273)0-(/.f64 x (*.f64 y y))
00-0-y
00-0-#s(literal 3 binary64)
00-0-(*.f64 y y)
00-0-(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 x (*.f64 y y))n/u130
(*.f64 y y)underflow54
Confusion
Predicted +Predicted -
+130
-0243
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+1300
-00243
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0243
113
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
41.0ms512×0valid
Compiler

Compiled 58 to 28 computations (51.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 4.0ms (38% of total)
ival-div: 3.0ms (28.5% of total)
ival-sub: 2.0ms (19% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.2%
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify5.0ms (0.1%)

Memory
-24.4MiB live, 14.5MiB allocated
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
lower-/.f32
lower-+.f64
lower-/.f64
lower-+.f32
lift-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
0918
11418
21518
01518
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(/.f64 x (*.f64 y y))
x
(*.f64 y y)
y
#s(literal 3 binary64)
Outputs
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(/.f64 x (*.f64 y y))
x
(*.f64 y y)
y
#s(literal 3 binary64)

localize19.0ms (0.3%)

Memory
21.7MiB live, 60.8MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
accuracy100.0%
(*.f64 y y)
accuracy88.9%
(/.f64 x (*.f64 y y))
Samples
12.0ms256×0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (38.8% of total)
ival-mult: 2.0ms (38.8% of total)
ival-sub: 1.0ms (19.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
12.9MiB live, 12.9MiB allocated
Counts
3 → 60
Calls
Call 1
Inputs
#<alt (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))>
#<alt (/.f64 x (*.f64 y y))>
#<alt (*.f64 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)) 3)
0.0ms
x
@0
(/ x (* y y))
0.0ms
x
@-inf
(/ x (* y y))
0.0ms
y
@0
(- (/ x (* y y)) 3)

simplify198.0ms (3.5%)

Memory
-22.9MiB live, 336.1MiB allocated
Algorithm
egg-herbie
Rules
2 860×lower-fma.f64
2 860×lower-fma.f32
2 598×lower-*.f64
2 598×lower-*.f32
1 392×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021300
143300
2103300
3250300
4472300
5785300
61177300
71855300
82697300
93327300
103815300
114073300
124256300
134723300
145512300
156174300
167377300
08081300
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 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
-3
#s(literal -3 binary64)
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
-3
#s(literal -3 binary64)
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)

rewrite251.0ms (4.5%)

Memory
30.5MiB live, 456.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 186×lower-/.f32
4 184×lower-/.f64
3 186×lower-fma.f64
3 186×lower-fma.f32
3 038×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
0915
13815
228815
3324915
0817414
Stop Event
iter limit
node limit
iter limit
Counts
3 → 227
Calls
Call 1
Inputs
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(/.f64 x (*.f64 y y))
(*.f64 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 x (*.f64 x x)) (*.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) #s(literal 9 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (neg.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) #s(literal 9 binary64))))))
(+.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (*.f64 y (*.f64 y (*.f64 y y))))) (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 x (neg.f64 (*.f64 y y))))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) #s(literal 9 binary64))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 27 binary64) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) #s(literal 9 binary64)))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 y y))))) (/.f64 #s(literal 27 binary64) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 y y))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -9 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal 27 binary64) #s(literal 729 binary64)))) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) #s(literal 9 binary64)))) (/.f64 (/.f64 #s(literal 19683 binary64) (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal 27 binary64) #s(literal 729 binary64)))) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) #s(literal 9 binary64)))))
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal 27 binary64))) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) #s(literal 9 binary64)))) (/.f64 (/.f64 #s(literal 729 binary64) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal 27 binary64))) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) #s(literal 9 binary64)))))
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(/.f64 (*.f64 (/.f64 x (neg.f64 y)) #s(literal 1 binary64)) (neg.f64 y))
(/.f64 (exp.f64 (log.f64 (neg.f64 x))) (exp.f64 (log.f64 (neg.f64 (*.f64 y y)))))
(/.f64 (exp.f64 (log.f64 (/.f64 x y))) y)
(/.f64 (exp.f64 (log.f64 x)) (*.f64 y y))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (neg.f64 (/.f64 (*.f64 y y) x)))))
(/.f64 (exp.f64 (log.f64 (/.f64 x (neg.f64 y)))) (exp.f64 (log.f64 (neg.f64 y))))
(/.f64 (neg.f64 (/.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 y y)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 y)))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 (/.f64 x (neg.f64 y)) #s(literal 1 binary64))) (neg.f64 (neg.f64 y)))
(pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (*.f64 y y) x) (/.f64 (*.f64 y y) x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (*.f64 y y) x)))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(*.f64 (neg.f64 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 x (neg.f64 (*.f64 y y))))
(*.f64 (/.f64 x (neg.f64 y)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (neg.f64 x))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (neg.f64 y)))
(*.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)))
(*.f64 (exp.f64 (log.f64 (neg.f64 x))) (exp.f64 (neg.f64 (log.f64 (neg.f64 (*.f64 y y))))))
(*.f64 (exp.f64 (log.f64 (/.f64 x y))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (exp.f64 (log.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(exp.f64 (log.f64 (*.f64 y y)))
(exp.f64 (*.f64 (log.f64 (*.f64 y y)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 y y)))
(neg.f64 (neg.f64 (*.f64 y y)))
(/.f64 y (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 y y) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 y y)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(/.f64 (neg.f64 y) (neg.f64 (/.f64 #s(literal 1 binary64) 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 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y))
(*.f64 y y)
(*.f64 y (neg.f64 (neg.f64 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) (neg.f64 (*.f64 y y)))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 (neg.f64 (neg.f64 y)) y)

eval115.0ms (2%)

Memory
-30.0MiB live, 57.1MiB allocated
Compiler

Compiled 10 235 to 656 computations (93.6% saved)

prune191.0ms (3.4%)

Memory
12.7MiB live, 50.2MiB allocated
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New2816287
Fresh000
Picked011
Done000
Total2817288
Accuracy
100.0%
Counts
288 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64))
95.1%
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x #s(literal -3 binary64))
99.9%
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
99.9%
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #s(literal 3 binary64))
95.2%
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
43.1%
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
54.3%
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
Compiler

Compiled 113 to 76 computations (32.7% saved)

simplify6.0ms (0.1%)

Memory
5.2MiB live, 5.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff0
(/.f64 x y)
cost-diff576
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64))
cost-diff0
(*.f64 y y)
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 y y))
cost-diff192
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x #s(literal -3 binary64))
cost-diff0
(*.f64 y y)
cost-diff0
(/.f64 x (*.f64 y y))
cost-diff0
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
cost-diff0
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
cost-diff0
(/.f64 x y)
cost-diff0
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
cost-diff384
(/.f64 (/.f64 x y) y)
Rules
36×lower-*.f32
34×lower-*.f64
20×associate-*r*
14×associate-*l*
12×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01989
03087
14787
25687
37587
48187
08187
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(/.f64 (/.f64 x y) y)
(/.f64 x y)
x
y
#s(literal 3 binary64)
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
#s(literal -3 binary64)
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
(/.f64 x (*.f64 y y))
x
(*.f64 y y)
y
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
#s(literal 1 binary64)
(*.f64 y y)
y
x
#s(literal -3 binary64)
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64))
(/.f64 x y)
x
y
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
#s(literal -3 binary64)
Outputs
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))
(/.f64 (/.f64 x y) y)
(/.f64 x (*.f64 y y))
(/.f64 x y)
x
y
#s(literal 3 binary64)
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
#s(literal -3 binary64)
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
(/.f64 x (*.f64 y y))
x
(*.f64 y y)
y
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x #s(literal -3 binary64))
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
#s(literal 1 binary64)
(*.f64 y y)
y
x
#s(literal -3 binary64)
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64))
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))
(/.f64 x y)
x
y
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
#s(literal -3 binary64)

localize182.0ms (3.2%)

Memory
16.5MiB live, 52.9MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 x y)
accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
accuracy99.9%
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64))
accuracy100.0%
(*.f64 y y)
accuracy99.7%
(/.f64 #s(literal 1 binary64) (*.f64 y y))
accuracy95.1%
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x #s(literal -3 binary64))
accuracy100.0%
(*.f64 y y)
accuracy88.9%
(/.f64 x (*.f64 y y))
accuracy48.0%
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
accuracy54.3%
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
accuracy100.0%
(/.f64 x y)
accuracy100.0%
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
accuracy99.8%
(/.f64 (/.f64 x y) y)
Samples
161.0ms256×0valid
Compiler

Compiled 85 to 19 computations (77.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-div: 8.0ms (45.6% of total)
ival-mult: 4.0ms (22.8% of total)
ival-sub: 2.0ms (11.4% of total)
ival-add: 2.0ms (11.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series136.0ms (2.4%)

Memory
-39.6MiB live, 7.1MiB allocated
Counts
11 → 228
Calls
Call 1
Inputs
#<alt (/.f64 (/.f64 x y) y)>
#<alt (-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))>
#<alt (/.f64 x y)>
#<alt #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))>
#<alt #s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))>
#<alt (/.f64 x (*.f64 y y))>
#<alt (*.f64 y y)>
#<alt (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x #s(literal -3 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 y y))>
#<alt (fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64))>
#<alt (/.f64 #s(literal 1 binary64) 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 -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 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 -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)>
#<alt (/ x (pow y 2))>
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))>
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))>
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))>
#<alt -3>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt -3>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt -3>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (/ x (pow y 2))>
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))>
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))>
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))>
#<alt (/ x (pow y 2))>
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))>
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))>
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt -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 (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
Calls

57 calls:

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

simplify304.0ms (5.4%)

Memory
4.6MiB live, 202.7MiB allocated
Algorithm
egg-herbie
Rules
2 718×lower-fma.f64
2 718×lower-fma.f32
2 488×lower-*.f64
2 488×lower-*.f32
1 372×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0231164
1451164
21031164
32501164
44771164
57861164
611781164
718731164
827201164
933821164
1038701164
1141281164
1243081164
1347851164
1455741164
1562361164
1674401164
080521164
Stop Event
iter limit
node limit
Counts
228 → 228
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))
-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 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)
-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)
(/ x (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(/ x (pow y 2))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(/ x (pow y 2))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
-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)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
Outputs
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
-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 y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
-3
#s(literal -3 binary64)
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
-3
#s(literal -3 binary64)
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
-3
#s(literal -3 binary64)
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
-3
#s(literal -3 binary64)
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
-3
#s(literal -3 binary64)
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
-3
#s(literal -3 binary64)
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
-3
#s(literal -3 binary64)
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
-3
#s(literal -3 binary64)
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
-3
#s(literal -3 binary64)
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(- (/ x (pow y 2)) 3)
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(/ 1 (pow y 2))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
-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))
(/ 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)

rewrite238.0ms (4.2%)

Memory
-2.5MiB live, 489.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 556×lower-fma.f32
4 552×lower-fma.f64
3 662×lower-*.f32
3 660×lower-*.f64
2 356×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01969
03067
113060
275860
3757760
0809460
Stop Event
iter limit
node limit
iter limit
Counts
11 → 515
Calls
Call 1
Inputs
(/.f64 (/.f64 x y) y)
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(/.f64 x y)
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
(/.f64 x (*.f64 y y))
(*.f64 y y)
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) y)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y y) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) (*.f64 y y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (neg.f64 x) (*.f64 y y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 y y))) (/.f64 (neg.f64 x) (*.f64 y y)))
(neg.f64 (/.f64 (neg.f64 x) (*.f64 y y)))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y y) x)))
(/.f64 (neg.f64 x) (neg.f64 (*.f64 y y)))
(/.f64 (/.f64 x (neg.f64 y)) (neg.f64 y))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 y (neg.f64 x)))
(/.f64 (/.f64 (/.f64 x (neg.f64 y)) #s(literal -1 binary64)) y)
(/.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 y y))
(pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1 binary64))
(*.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 #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)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 x #s(literal 1 binary64)))
(*.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) y) (/.f64 x y))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (*.f64 y y)))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 x (neg.f64 y)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (neg.f64 y)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (neg.f64 x))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 x y)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 y x)))
(*.f64 (/.f64 (neg.f64 x) (*.f64 y y)) #s(literal -1 binary64))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(*.f64 (/.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 x (neg.f64 y)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) y) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 x y) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))
(+.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #s(literal 9 binary64)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (neg.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #s(literal 9 binary64)))))
(+.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (*.f64 y (*.f64 y (*.f64 y y))))) (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 (neg.f64 x) (*.f64 y y)))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #s(literal 9 binary64)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (/.f64 #s(literal 27 binary64) (fma.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #s(literal 9 binary64))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))))
(-.f64 (/.f64 #s(literal 9 binary64) (-.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))) (/.f64 (/.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 y y)))) (-.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))))
(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 y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64))
(fma.f64 (/.f64 x y) (/.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (*.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 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 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 y y)))) (fma.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #s(literal 9 binary64))) (neg.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #s(literal 9 binary64)))))
(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)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -3 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 x #s(literal 1 binary64)) #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 #s(literal 1 binary64) (*.f64 y y)) (/.f64 (/.f64 (*.f64 x 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 #s(literal 1 binary64) y) (/.f64 x y) #s(literal -3 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (*.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 #s(literal -1 binary64) (/.f64 (neg.f64 x) (*.f64 y y)) #s(literal -3 binary64))
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal -3 binary64))
(fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) y)) #s(literal -3 binary64))
(fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) y)) #s(literal -3 binary64))
(fma.f64 (/.f64 x (neg.f64 y)) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64))
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #s(literal 9 binary64))) (neg.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #s(literal 9 binary64)))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 y y)))) (/.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 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 (/.f64 x (*.f64 y y)) (fma.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #s(literal 9 binary64))) (neg.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #s(literal 9 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))))) (fma.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #s(literal 9 binary64))) (neg.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #s(literal 9 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #s(literal 9 binary64))) (neg.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #s(literal 9 binary64)))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (fma.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #s(literal 9 binary64))) (neg.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #s(literal 9 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (fma.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #s(literal 9 binary64))) (neg.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #s(literal 9 binary64)))))
(fma.f64 (*.f64 x x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.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 (*.f64 x x) (*.f64 y 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 #s(literal -1 binary64) y) (/.f64 x (neg.f64 y)) #s(literal -3 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (neg.f64 x) #s(literal -3 binary64))
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 x y)) #s(literal -3 binary64))
(fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 y x)) #s(literal -3 binary64))
(fma.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -3/2 binary64)) (/.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -3/2 binary64)) (fma.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #s(literal 9 binary64))) (neg.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #s(literal 9 binary64)))))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 y y)) (/.f64 (*.f64 x 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)))))
(fma.f64 (/.f64 (neg.f64 x) (*.f64 y y)) #s(literal -1 binary64) #s(literal -3 binary64))
(fma.f64 (*.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (/.f64 (/.f64 #s(literal 1 binary64) 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 #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal -3 binary64))
(fma.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 (/.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)))))
(fma.f64 (/.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64))
(fma.f64 (/.f64 (/.f64 x (*.f64 y y)) (*.f64 y y)) (/.f64 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)))))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64))
(fma.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 x (neg.f64 y)) #s(literal -3 binary64))
(fma.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) y) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))
(fma.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) #s(literal -3 binary64))
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(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x (*.f64 y y)) #s(literal 9 binary64)) #s(literal -19683 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #s(literal 9 binary64)))) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (fma.f64 #s(literal 27 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal 729 binary64))))
(/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal -729 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #s(literal 9 binary64)))) (+.f64 #s(literal 27 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))))
(/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal -729 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))) (fma.f64 (/.f64 x (*.f64 y y)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (fma.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 81 binary64))))
(/.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal -81 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #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))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)))
(*.f64 (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #s(literal 9 binary64))))
(*.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))))
(*.f64 (+.f64 #s(literal 27 binary64) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #s(literal 9 binary64)))))
(*.f64 (neg.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #s(literal 9 binary64))) (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)))
(*.f64 (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))))
(*.f64 (/.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64))) (+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (fma.f64 (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) #s(literal 9 binary64)) (*.f64 (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) #s(literal 9 binary64)) (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) #s(literal 9 binary64))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))))) (fma.f64 (/.f64 x (*.f64 y y)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) #s(literal 9 binary64)) (-.f64 (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) #s(literal 9 binary64)) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 y y))))))))
(*.f64 (/.f64 (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (*.f64 (fma.f64 (/.f64 x (*.f64 y y)) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #s(literal 9 binary64)) (+.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) (/.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 y y))))) (+.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) (/.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 y y))))
(*.f64 (/.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -9 binary64)) (+.f64 #s(literal 27 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))))) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) (fma.f64 x (/.f64 #s(literal -3 binary64) (*.f64 y y)) #s(literal 9 binary64))))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 y)))
(exp.f64 (*.f64 (log.f64 (*.f64 y y)) #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) y))
(neg.f64 (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
(/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 y))
(pow.f64 y #s(literal -1 binary64))
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 y y) #s(literal -1/4 binary64)) (pow.f64 (*.f64 y y) #s(literal -1/4 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))

eval92.0ms (1.6%)

Memory
12.5MiB live, 202.9MiB allocated
Compiler

Compiled 16 495 to 726 computations (95.6% saved)

prune52.0ms (0.9%)

Memory
17.3MiB live, 100.3MiB allocated
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New8266832
Fresh101
Picked325
Done011
Total8309839
Accuracy
100.0%
Counts
839 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(fma.f64 (/.f64 x y) (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal -3 binary64))
99.9%
(-.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y) #s(literal 3 binary64))
95.2%
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
47.9%
#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 x y) y))
47.8%
#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)))
43.1%
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
47.8%
#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)))
43.1%
#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x))
54.3%
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
Compiler

Compiled 143 to 91 computations (36.4% saved)

simplify10.0ms (0.2%)

Memory
-29.4MiB live, 8.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 y x)
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff0
#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)))
cost-diff1088
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff0
(/.f64 x y)
cost-diff0
#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)))
cost-diff704
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
cost-diff0
(/.f64 x y)
cost-diff0
#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 x y) y))
cost-diff384
(/.f64 (/.f64 x y) y)
cost-diff0
(*.f64 y y)
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 y y))
cost-diff0
#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff0
(-.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y) #s(literal 3 binary64))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
cost-diff384
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y)
Rules
40×lower-*.f32
32×lower-*.f64
30×lower-/.f32
20×associate-*r*
18×lower-/.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023146
035154
155128
268128
398128
4104128
0104128
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y) #s(literal 3 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y)
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x
#s(literal 3 binary64)
#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)
(/.f64 #s(literal 1 binary64) (*.f64 y y))
#s(literal 1 binary64)
(*.f64 y y)
y
x
#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 x y) y))
(/.f64 (/.f64 x y) y)
(/.f64 x y)
x
y
#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
(/.f64 x y)
x
y
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(/.f64 y x)
x
Outputs
(-.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y) #s(literal 3 binary64))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y)
(/.f64 x (*.f64 y y))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 x y)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x
#s(literal 3 binary64)
#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x))
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)
(/.f64 x (*.f64 y y))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
#s(literal 1 binary64)
(*.f64 y y)
y
x
#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 x y) y))
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
(/.f64 (/.f64 x y) y)
(/.f64 x (*.f64 y y))
(/.f64 x y)
x
y
#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
(/.f64 x (*.f64 y y))
(/.f64 x y)
x
y
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)))
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
(/.f64 x (*.f64 y y))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(/.f64 y x)
x

localize69.0ms (1.2%)

Memory
16.5MiB live, 90.4MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
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))
accuracy48.0%
#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)))
accuracy100.0%
(/.f64 x y)
accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
accuracy99.8%
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
accuracy48.0%
#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)))
accuracy100.0%
(/.f64 x y)
accuracy99.8%
(/.f64 (/.f64 x y) y)
accuracy48.0%
#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 x y) y))
accuracy100.0%
(*.f64 y y)
accuracy99.7%
(/.f64 #s(literal 1 binary64) (*.f64 y y))
accuracy89.0%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)
accuracy48.0%
#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x))
accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
accuracy100.0%
(-.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y) #s(literal 3 binary64))
accuracy99.8%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y)
accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
Samples
42.0ms256×0valid
Compiler

Compiled 118 to 20 computations (83.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-div: 16.0ms (64% of total)
ival-mult: 6.0ms (24% of total)
ival-sub: 2.0ms (8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
9.0MiB live, 9.0MiB allocated
Counts
16 → 348
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y)>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) y) x)>
#<alt (-.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y) #s(literal 3 binary64))>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)>
#<alt #s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 y y))>
#<alt (*.f64 y y)>
#<alt (/.f64 (/.f64 x y) y)>
#<alt #s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 x y) y))>
#<alt (/.f64 x y)>
#<alt (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))>
#<alt #s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))>
#<alt #s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)))>
#<alt (/.f64 y x)>
Outputs
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x (pow y 2))>
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))>
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))>
#<alt (/ (+ x (* -3 (pow y 2))) (pow y 2))>
#<alt -3>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt -3>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt -3>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (- (/ x (pow y 2)) 3)>
#<alt (/ x (pow y 2))>
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))>
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))>
#<alt (* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))>
#<alt (/ x (pow y 2))>
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))>
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))>
#<alt (* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<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 (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (/ 1 (pow y 2))>
#<alt (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 (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<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 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 -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 -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 (/ 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

87 calls:

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

simplify200.0ms (3.5%)

Memory
-12.5MiB live, 147.0MiB allocated
Algorithm
egg-herbie
Rules
2 784×lower-fma.f64
2 784×lower-fma.f32
2 658×lower-*.f64
2 658×lower-*.f32
1 418×div-sub
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
0242028
1462028
21042028
32512028
44782028
57982028
612382028
720011668
827831668
931281668
1035901668
1138501668
1240301668
1345051668
1453061668
1560181668
1673031668
080591668
Stop Event
iter limit
node limit
Counts
348 → 348
Calls
Call 1
Inputs
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
-3
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(- (/ x (pow y 2)) 3)
(/ x (pow y 2))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(* x (- (/ 1 (pow y 2)) (* 3 (/ 1 x))))
(/ x (pow y 2))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(* -1 (* x (- (* 3 (/ 1 x)) (/ 1 (pow y 2)))))
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
-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)
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(/ 1 (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
-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 y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
-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))
-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)
(/ 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
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
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(+.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))
(/ 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)

rewrite263.0ms (4.7%)

Memory
27.1MiB live, 380.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 868×lower-fma.f64
4 868×lower-fma.f32
3 822×lower-*.f32
3 814×lower-*.f64
2 286×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023122
035104
1122102
2956102
36648102
0815997
Stop Event
iter limit
node limit
iter limit
Counts
16 → 530
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y)
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(-.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) y)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)
#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x))
(/.f64 #s(literal 1 binary64) (*.f64 y y))
(*.f64 y y)
(/.f64 (/.f64 x y) y)
#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 x y) y))
(/.f64 x y)
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)))
(/.f64 y x)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y y) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y (neg.f64 y))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 x (*.f64 y (neg.f64 y))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y (neg.f64 y))) (/.f64 x (*.f64 y (neg.f64 y))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) x)) (/.f64 x (*.f64 y (neg.f64 y))))
(neg.f64 (/.f64 x (*.f64 y (neg.f64 y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 x y) y)
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (neg.f64 y)) x))
(/.f64 (/.f64 x (neg.f64 y)) (neg.f64 y))
(/.f64 (neg.f64 x) (*.f64 y (neg.f64 y)))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 y) x))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) x))
(pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y (neg.f64 y))))
(*.f64 (/.f64 x (neg.f64 y)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (neg.f64 y)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 y x)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 x y)))
(*.f64 (/.f64 x (*.f64 y (neg.f64 y))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (neg.f64 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)) (/.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) y) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 y x)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 x (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (/.f64 (/.f64 x y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 y y)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) y))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (neg.f64 y)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (neg.f64 y)))
(*.f64 (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 x y) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)) (neg.f64 x))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 x (neg.f64 y)))
(neg.f64 (/.f64 x (neg.f64 y)))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 x y)
(/.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x))
(/.f64 (/.f64 x (neg.f64 y)) #s(literal -1 binary64))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 (neg.f64 x) (*.f64 #s(literal 1 binary64) (neg.f64 y)))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 y))
(pow.f64 (/.f64 x y) #s(literal 1 binary64))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 y)))
(*.f64 (/.f64 x (neg.f64 y)) #s(literal -1 binary64))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) x))
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)))
(*.f64 (*.f64 x (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(+.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(+.f64 #s(literal -3 binary64) (/.f64 x (*.f64 y y)))
(+.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 9 binary64))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (neg.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 9 binary64))))))
(+.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (*.f64 y (*.f64 y (*.f64 y y))))) (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 x (*.f64 y (neg.f64 y))))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 9 binary64))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (/.f64 #s(literal 27 binary64) (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 9 binary64)))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (-.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 9 binary64)) (*.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)))) (/.f64 #s(literal 27 binary64) (-.f64 (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 9 binary64)) (*.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y y)) #s(literal -3 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x y) #s(literal -3 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 x (*.f64 x (/.f64 #s(literal 1 binary64) (*.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 x (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -3 binary64))
(fma.f64 x (/.f64 (*.f64 x (/.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 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 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 y y)))) (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 9 binary64)))) (neg.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 9 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 (/.f64 (*.f64 x 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 y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64))
(fma.f64 (/.f64 x y) (/.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (*.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 #s(literal -1 binary64) (/.f64 x (*.f64 y (neg.f64 y))) #s(literal -3 binary64))
(fma.f64 (/.f64 x (neg.f64 y)) (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64))
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal -3 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (neg.f64 y)) #s(literal -3 binary64))
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 9 binary64)))) (neg.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 9 binary64))))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 y y)))) (/.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 (*.f64 x x) (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 (/.f64 x (*.f64 y y)) (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 9 binary64)))) (neg.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 9 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 9 binary64)))) (neg.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 9 binary64))))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 9 binary64)))) (neg.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 9 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))))) (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 9 binary64)))) (neg.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 9 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 9 binary64)))) (neg.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 9 binary64))))))
(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 (*.f64 x x) (*.f64 y 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 (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)) (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 9 binary64)))) (neg.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (/.f64 #s(literal 3 binary64) (*.f64 y y)) (fma.f64 x (/.f64 x (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 9 binary64))))))
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eval149.0ms (2.6%)

Memory
-10.1MiB live, 191.2MiB allocated
Compiler

Compiled 12 591 to 896 computations (92.9% saved)

prune64.0ms (1.1%)

Memory
-1.8MiB live, 119.4MiB allocated
Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New1 00121 003
Fresh101
Picked235
Done033
Total1 00481 012
Accuracy
100.0%
Counts
1 012 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.2%
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
47.9%
#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 x y) y))
47.8%
#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)))
47.9%
#s(approx (- (/ x (* y y)) 3) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y))
43.1%
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
47.8%
#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 x y) (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))))
43.1%
#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x))
54.3%
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
Compiler

Compiled 71 to 43 computations (39.4% saved)

simplify7.0ms (0.1%)

Memory
9.8MiB live, 9.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff0
#s(approx (- (/ x (* y y)) 3) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
cost-diff384
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y)
cost-diff0
(/.f64 x y)
cost-diff0
#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 x y) (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))))
cost-diff704
(*.f64 (/.f64 x y) (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)))
cost-diff12224
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))
Rules
90×lower-*.f32
86×lower-*.f64
50×associate-*r*
34×associate-*l*
28×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01874
02578
13966
26258
311258
414558
514758
014756
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 x y) (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))))
(*.f64 (/.f64 x y) (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(/.f64 x y)
x
y
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 y #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 2 binary64)
#s(approx (- (/ x (* y y)) 3) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y)
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x
Outputs
#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 x y) (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))))
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
(*.f64 (/.f64 x y) (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(/.f64 x (*.f64 y y))
(/.f64 x y)
x
y
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) y)
(pow.f64 y #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(literal 2 binary64)
#s(approx (- (/ x (* y y)) 3) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y))
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y)
(/.f64 x (*.f64 y y))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 x y)
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x

localize52.0ms (0.9%)

Memory
-0.7MiB live, 75.5MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 #s(literal 1 binary64) y)
accuracy99.8%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y)
accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
accuracy48.0%
#s(approx (- (/ x (* y y)) 3) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y))
accuracy100.0%
(/.f64 x y)
accuracy99.8%
(*.f64 (/.f64 x y) (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)))
accuracy99.2%
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))
accuracy48.0%
#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 x y) (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))))
Samples
36.0ms256×0valid
Compiler

Compiled 58 to 18 computations (69% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-div: 7.0ms (30.2% of total)
ival-mult: 6.0ms (25.8% of total)
ival-pow: 6.0ms (25.8% of total)
ival-pow2: 3.0ms (12.9% of total)
ival-sub: 1.0ms (4.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
8.6MiB live, 8.6MiB allocated
Counts
8 → 168
Calls
Call 1
Inputs
#<alt (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))>
#<alt (*.f64 (/.f64 x y) (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)))>
#<alt #s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 x y) (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))))>
#<alt (/.f64 x y)>
#<alt (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y)>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) y) x)>
#<alt #s(approx (- (/ x (* y y)) 3) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y))>
#<alt (/.f64 #s(literal 1 binary64) y)>
Outputs
#<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 (/ (pow (sqrt -1) 2) y))>
#<alt (* -1 (/ (pow (sqrt -1) 2) y))>
#<alt (* -1 (/ (pow (sqrt -1) 2) y))>
#<alt (* -1 (/ (pow (sqrt -1) 2) y))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (/ x (pow y 2))>
#<alt (* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))>
#<alt (* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))>
#<alt (* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))>
#<alt (* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))>
#<alt -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 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 (/ 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 (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
#<alt (/ 1 y)>
Calls

42 calls:

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

simplify198.0ms (3.5%)

Memory
-10.2MiB live, 220.6MiB allocated
Algorithm
egg-herbie
Rules
3 506×lower-fma.f64
3 506×lower-fma.f32
3 314×lower-*.f64
3 314×lower-*.f32
1 156×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030768
164768
2176768
3452768
41755768
54279768
65764768
76334768
87337768
08094762
Stop Event
iter limit
node limit
Counts
168 → 168
Calls
Call 1
Inputs
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(* -1 (/ (pow (sqrt -1) 2) y))
(* -1 (/ (pow (sqrt -1) 2) y))
(* -1 (/ (pow (sqrt -1) 2) y))
(* -1 (/ (pow (sqrt -1) 2) y))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))
-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 y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ x (pow y 2))
(/ 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)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
Outputs
(/ 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 (/ (pow (sqrt -1) 2) y))
(/.f64 #s(literal 1 binary64) y)
(* -1 (/ (pow (sqrt -1) 2) y))
(/.f64 #s(literal 1 binary64) y)
(* -1 (/ (pow (sqrt -1) 2) y))
(/.f64 #s(literal 1 binary64) y)
(* -1 (/ (pow (sqrt -1) 2) y))
(/.f64 #s(literal 1 binary64) y)
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(/ x (pow y 2))
(/.f64 x (*.f64 y y))
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))
(/.f64 x (*.f64 y y))
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))
(/.f64 x (*.f64 y y))
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))
(/.f64 x (*.f64 y y))
(* -1 (/ (* x (pow (sqrt -1) 2)) (pow y 2)))
(/.f64 x (*.f64 y y))
-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 (fma.f64 y (*.f64 y #s(literal -3 binary64)) x) (*.f64 y y))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/.f64 (fma.f64 y (*.f64 y #s(literal -3 binary64)) x) (*.f64 y y))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/.f64 (fma.f64 y (*.f64 y #s(literal -3 binary64)) 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 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))
(/ 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 #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 (fma.f64 y (*.f64 y #s(literal -3 binary64)) x) (*.f64 y y))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/.f64 (fma.f64 y (*.f64 y #s(literal -3 binary64)) x) (*.f64 y y))
(/ (+ x (* -3 (pow y 2))) (pow y 2))
(/.f64 (fma.f64 y (*.f64 y #s(literal -3 binary64)) 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)))
(/ 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)

rewrite283.0ms (5%)

Memory
-7.7MiB live, 311.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 850×lower-fma.f64
4 850×lower-fma.f32
3 146×lower-*.f32
3 142×lower-*.f64
1 434×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01864
02548
19548
259248
3533248
0924446
Stop Event
iter limit
node limit
iter limit
Counts
8 → 366
Calls
Call 1
Inputs
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 (/.f64 x y) (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)))
#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 x y) (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))))
(/.f64 x y)
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y)
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
#s(approx (- (/ x (* y y)) 3) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y))
(/.f64 #s(literal 1 binary64) y)
Outputs
(exp.f64 (neg.f64 (log.f64 y)))
(exp.f64 (*.f64 (neg.f64 (log.f64 y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal -1/4 binary64)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (log.f64 y))))
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 (log.f64 y) #s(literal -1/4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 y)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y)) #s(literal 1/2 binary64)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 (log.f64 y) #s(literal -1/4 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 y) (*.f64 #s(literal 2 binary64) (log.f64 y))) #s(literal -1/4 binary64)))
(exp.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal -1/4 binary64))))
(exp.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) (*.f64 (*.f64 (log.f64 y) #s(literal -1/4 binary64)) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal -1/4 binary64) (*.f64 #s(literal -1/2 binary64) (log.f64 y))))
(exp.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal -1/4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal -1/4 binary64))))
(exp.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal -1/4 binary64) (*.f64 (*.f64 (log.f64 y) #s(literal -1/4 binary64)) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (*.f64 (log.f64 y) #s(literal -1/4 binary64)) #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (log.f64 y))))
(exp.f64 (fma.f64 (*.f64 (log.f64 y) #s(literal -1/4 binary64)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal -1/4 binary64))))
(exp.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y)) #s(literal 1/2 binary64) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))))
(exp.f64 (fma.f64 (*.f64 (log.f64 y) #s(literal -1/4 binary64)) #s(literal 1 binary64) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))))
(exp.f64 (+.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))) (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y)) #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))) (*.f64 (*.f64 (log.f64 y) #s(literal -1/4 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y))
(neg.f64 (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) y)
(/.f64 #s(literal -1 binary64) y)
(pow.f64 y #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) #s(literal 4 binary64))
(pow.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal -1/4 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))) #s(literal 8 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 y)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (log.f64 y))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (log.f64 y) #s(literal 1 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal -1/4 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 y)))
(pow.f64 (*.f64 (exp.f64 #s(literal -1/2 binary64)) (exp.f64 #s(literal -1/2 binary64))) (log.f64 y))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (pow.f64 y #s(literal -7/8 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))
(*.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))
(*.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))
(*.f64 (pow.f64 y #s(literal -7/8 binary64)) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal -1/4 binary64))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal -1/4 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y y) x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 y y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 y y) x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (neg.f64 (log.f64 y)) (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (neg.f64 (log.f64 y)) #s(literal 1 binary64) (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64) (neg.f64 (log.f64 y))))
(exp.f64 (fma.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64) (*.f64 (neg.f64 (log.f64 y)) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y y)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 x (*.f64 y y)))
(-.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 x (*.f64 y y)))
(neg.f64 (/.f64 x (*.f64 y y)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x))
(/.f64 x (*.f64 y y))
(/.f64 (/.f64 x y) y)
(/.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) x))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 y y) x))
(/.f64 (neg.f64 x) (*.f64 y y))
(/.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 (/.f64 x y) #s(literal -1 binary64)) y)
(/.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 y y))
(pow.f64 (/.f64 x (*.f64 y y)) #s(literal 1 binary64))
(pow.f64 (/.f64 (*.f64 y y) x) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 y (*.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))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) x) y))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) x) y) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x 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 x (*.f64 y y)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y y)))
(*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y y)))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (neg.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 x #s(literal 1 binary64)))
(*.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)) (/.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) x) y)))
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(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))) x))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) x))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) (neg.f64 x)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) x) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal -1 binary64)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) x))
(*.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(*.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) x))
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(*.f64 (*.f64 (neg.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))
(*.f64 (*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))
(*.f64 (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))
(*.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
(exp.f64 (neg.f64 (log.f64 y)))
(exp.f64 (*.f64 (neg.f64 (log.f64 y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal -1/4 binary64)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (log.f64 y))))
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 (log.f64 y) #s(literal -1/4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 y)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y)) #s(literal 1/2 binary64)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 (log.f64 y) #s(literal -1/4 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 y) (*.f64 #s(literal 2 binary64) (log.f64 y))) #s(literal -1/4 binary64)))
(exp.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal -1/4 binary64))))
(exp.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 y) (*.f64 (*.f64 (log.f64 y) #s(literal -1/4 binary64)) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal -1/4 binary64) (*.f64 #s(literal -1/2 binary64) (log.f64 y))))
(exp.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal -1/4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal -1/4 binary64))))
(exp.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal -1/4 binary64) (*.f64 (*.f64 (log.f64 y) #s(literal -1/4 binary64)) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (*.f64 (log.f64 y) #s(literal -1/4 binary64)) #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (log.f64 y))))
(exp.f64 (fma.f64 (*.f64 (log.f64 y) #s(literal -1/4 binary64)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal -1/4 binary64))))
(exp.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y)) #s(literal 1/2 binary64) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))))
(exp.f64 (fma.f64 (*.f64 (log.f64 y) #s(literal -1/4 binary64)) #s(literal 1 binary64) (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))))
(exp.f64 (+.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))) (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 y)) #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))) (*.f64 (*.f64 (log.f64 y) #s(literal -1/4 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y))
(neg.f64 (/.f64 #s(literal 1 binary64) y))
(/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) y)
(/.f64 #s(literal -1 binary64) y)
(pow.f64 y #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) #s(literal 4 binary64))
(pow.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal -1/4 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))) #s(literal 8 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 y)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (log.f64 y))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (log.f64 y) #s(literal 1 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal -1/4 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 y)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 y)))
(pow.f64 (*.f64 (exp.f64 #s(literal -1/2 binary64)) (exp.f64 #s(literal -1/2 binary64))) (log.f64 y))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (pow.f64 y #s(literal -7/8 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))
(*.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))
(*.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))
(*.f64 (pow.f64 y #s(literal -7/8 binary64)) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal -1/4 binary64))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 y) #s(literal -1/4 binary64))))

eval61.0ms (1.1%)

Memory
34.6MiB live, 146.4MiB allocated
Compiler

Compiled 6 458 to 635 computations (90.2% saved)

prune243.0ms (4.3%)

Memory
-18.5MiB live, 104.0MiB allocated
Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New5340534
Fresh000
Picked022
Done066
Total5348542
Accuracy
100.0%
Counts
542 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.2%
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
47.9%
#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 x y) y))
47.8%
#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)))
47.9%
#s(approx (- (/ x (* y y)) 3) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y))
43.1%
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
47.8%
#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 x y) (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))))
43.1%
#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x))
54.3%
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
Compiler

Compiled 187 to 72 computations (61.5% saved)

regimes23.0ms (0.4%)

Memory
8.9MiB live, 48.2MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x))
#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 x y) y))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x #s(literal -3 binary64))
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (/ x (* y y)) 3) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y))
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64))
(-.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y) #s(literal 3 binary64))
#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 y x)) #s(literal 3 binary64))
#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 x y) (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))))
(fma.f64 (/.f64 x y) (pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal -3 binary64))
Outputs
(-.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y) #s(literal 3 binary64))
Calls

5 calls:

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

Compiled 27 to 17 computations (37% saved)

regimes51.0ms (0.9%)

Memory
-14.3MiB live, 29.6MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x))
#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 x y) y))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x #s(literal -3 binary64))
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y)))
#s(approx (- (/ x (* y y)) 3) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y))
(fma.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) y) #s(literal -3 binary64))
Outputs
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
Calls

5 calls:

37.0ms
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
4.0ms
x
4.0ms
y
3.0ms
(*.f64 y y)
3.0ms
(/.f64 x (*.f64 y y))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
99.9%1(/.f64 x (*.f64 y y))
99.9%1(*.f64 y y)
Compiler

Compiled 27 to 17 computations (37% saved)

regimes14.0ms (0.2%)

Memory
-5.8MiB live, 32.7MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x))
#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 x y) y))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x #s(literal -3 binary64))
Outputs
#s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 x y) y))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
Calls

5 calls:

4.0ms
y
3.0ms
x
2.0ms
(*.f64 y y)
2.0ms
(/.f64 x (*.f64 y y))
2.0ms
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
Results
AccuracySegmentsBranch
95.2%1x
99.9%2y
99.9%3(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
99.9%3(/.f64 x (*.f64 y y))
99.9%2(*.f64 y y)
Compiler

Compiled 27 to 17 computations (37% saved)

regimes10.0ms (0.2%)

Memory
25.8MiB live, 25.8MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
#s(approx (- (/ x (* y y)) 3) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x))
Outputs
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
Calls

5 calls:

2.0ms
y
2.0ms
x
2.0ms
(*.f64 y y)
2.0ms
(/.f64 x (*.f64 y y))
2.0ms
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
Results
AccuracySegmentsBranch
95.2%1x
95.2%1(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
95.2%1(/.f64 x (*.f64 y y))
95.2%1y
95.2%1(*.f64 y y)
Compiler

Compiled 27 to 17 computations (37% saved)

regimes9.0ms (0.2%)

Memory
-15.1MiB live, 22.9MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
Outputs
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
#s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))
Calls

5 calls:

3.0ms
(*.f64 y y)
2.0ms
y
1.0ms
x
1.0ms
(/.f64 x (*.f64 y y))
1.0ms
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
Results
AccuracySegmentsBranch
63.7%3x
83.8%2y
94.4%3(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
94.4%3(/.f64 x (*.f64 y y))
83.8%2(*.f64 y y)
Compiler

Compiled 27 to 17 computations (37% saved)

regimes6.0ms (0.1%)

Memory
16.9MiB live, 16.9MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

5 calls:

1.0ms
x
1.0ms
y
1.0ms
(*.f64 y y)
1.0ms
(/.f64 x (*.f64 y y))
1.0ms
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
Results
AccuracySegmentsBranch
54.3%1x
54.3%1y
54.3%1(*.f64 y y)
54.3%1(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
54.3%1(/.f64 x (*.f64 y y))
Compiler

Compiled 27 to 17 computations (37% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.62540816005196e-278
2.7289049638876217e-269
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch44.0ms (0.8%)

Memory
-64.5MiB live, 49.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
2.4560755574372665e-7
64653195252426.71
10.0ms
-8737.617598902958
-1.6798061911095072e-7
Samples
9.0ms336×0valid
Compiler

Compiled 222 to 158 computations (28.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-sub: 2.0ms (90.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify7.0ms (0.1%)

Memory
12.0MiB live, 12.0MiB allocated
Algorithm
egg-herbie
Rules
+-commutative_binary64
sub-neg_binary64
*-commutative_binary64
1-exp_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028109
136109
242109
344109
445109
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y) #s(literal 3 binary64))
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(if (<=.f64 (*.f64 y y) #s(literal 7983361238138879/159667224762777584932509817042947085285396100834836603320203779394976951349517125262796637239410856087147395747535399619517795039071487492859133743862786513625600453836086854121403017715549038974612268539563513919466464836409669631111108421475843532600569672550060483331388679618427520794230784 binary64)) #s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 x y) y)) (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(if (<=.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) #s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y))) (if (<=.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) #s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))))
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))
Outputs
(-.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) x) y) #s(literal 3 binary64))
(-.f64 (/.f64 (/.f64 x y) y) #s(literal 3 binary64))
(if (<=.f64 (*.f64 y y) #s(literal 7983361238138879/159667224762777584932509817042947085285396100834836603320203779394976951349517125262796637239410856087147395747535399619517795039071487492859133743862786513625600453836086854121403017715549038974612268539563513919466464836409669631111108421475843532600569672550060483331388679618427520794230784 binary64)) #s(approx (- (/ x (* y y)) 3) (/.f64 (/.f64 x y) y)) (-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)))
(-.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64))
(if (<=.f64 (/.f64 x (*.f64 y y)) #s(literal -3 binary64)) #s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y))) (if (<=.f64 (/.f64 x (*.f64 y y)) #s(literal 3 binary64)) #s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64)) #s(approx (- (/ x (* y y)) 3) (/.f64 x (*.f64 y y)))))
#s(approx (- (/ x (* y y)) 3) #s(literal -3 binary64))

soundness932.0ms (16.5%)

Memory
16.4MiB live, 363.5MiB allocated
Rules
4 556×lower-fma.f32
4 552×lower-fma.f64
4 186×lower-/.f32
4 184×lower-/.f64
3 662×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
0915
13815
228815
3324915
0817414
01969
03067
113060
275860
3757760
0809460
021300
143300
2103300
3250300
4472300
5785300
61177300
71855300
82697300
93327300
103815300
114073300
124256300
134723300
145512300
156174300
167377300
08081300
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 154 to 69 computations (55.2% saved)

preprocess55.0ms (1%)

Memory
-8.8MiB live, 108.9MiB allocated
Remove

(abs y)

Compiler

Compiled 232 to 100 computations (56.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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