Diagrams.Trail:splitAtParam from diagrams-lib-1.3.0.3, B

Time bar (total: 6.1s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze14.0ms (0.2%)

Memory
-13.3MiB live, 24.5MiB 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)

sample1.2s (19.2%)

Memory
-93.6MiB live, 1 027.1MiB allocated
Samples
618.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 186.0ms
ival-mult: 78.0ms (41.8% of total)
ival-div: 53.0ms (28.4% of total)
ival-add: 41.0ms (22% of total)
ival-true: 6.0ms (3.2% of total)
exact: 5.0ms (2.7% of total)
ival-assert: 3.0ms (1.6% of total)
Bogosity

explain71.0ms (1.2%)

Memory
-15.7MiB live, 100.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
320-0-(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
00-0-(+.f64 y #s(literal 1 binary64))
00-0-y
00-0-#s(literal 1 binary64)
00-0-(*.f64 x y)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))o/n320
(*.f64 x y)overflow32
Confusion
Predicted +Predicted -
+320
-0224
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+3200
-00224
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0224
132
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
25.0ms512×0valid
Compiler

Compiled 59 to 28 computations (52.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 6.0ms (47.2% of total)
ival-div: 3.0ms (23.6% of total)
ival-add: 3.0ms (23.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess53.0ms (0.9%)

Memory
-15.7MiB live, 35.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01643
15037
214535
344635
4119535
5167135
6188835
7194435
8197435
9197835
067
097
1157
2187
3197
0197
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
Outputs
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
Symmetry

(negabs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.2%
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 y #s(literal 1 binary64))
cost-diff0
(*.f64 x y)
cost-diff0
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0616
0916
11516
21816
31916
01916
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
(*.f64 x y)
x
y
(+.f64 y #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(*.f64 x y)
(*.f64 y x)
x
y
(+.f64 y #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)

localize19.0ms (0.3%)

Memory
-5.4MiB live, 32.6MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 y #s(literal 1 binary64))
accuracy0.0
(*.f64 x y)
accuracy7.554081388130412
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
Samples
11.0ms256×0valid
Compiler

Compiled 34 to 14 computations (58.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (40.9% of total)
ival-mult: 2.0ms (40.9% of total)
ival-add: 1.0ms (20.4% 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
11.0MiB live, 11.0MiB allocated
Counts
3 → 15
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
(*.f64 x y)
(+.f64 y #s(literal 1 binary64))
Outputs
(/ (* x y) (+ 1 y))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* y (- (* x y) x))))
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
1
(+ 1 y)
x
(+ x (* -1 (/ x y)))
(- (+ x (/ x (pow y 2))) (/ x y))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
y
(* y (+ 1 (/ 1 y)))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((/ (* x y) (+ y 1)) (* x y) (+ y 1))
1.0ms
y
@-inf
((/ (* x y) (+ y 1)) (* x y) (+ y 1))
1.0ms
x
@inf
((/ (* x y) (+ y 1)) (* x y) (+ y 1))
1.0ms
x
@0
((/ (* x y) (+ y 1)) (* x y) (+ y 1))
1.0ms
y
@inf
((/ (* x y) (+ y 1)) (* x y) (+ y 1))

simplify139.0ms (2.3%)

Memory
-11.5MiB live, 182.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046121
1135113
2276105
3103499
4423899
5612399
6725999
7794199
0818897
Stop Event
iter limit
node limit
Counts
15 → 13
Calls
Call 1
Inputs
(/ (* x y) (+ 1 y))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* y (- (* x y) x))))
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
1
(+ 1 y)
x
(+ x (* -1 (/ x y)))
(- (+ x (/ x (pow y 2))) (/ x y))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
y
(* y (+ 1 (/ 1 y)))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
Outputs
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (* x y))))
(*.f64 (fma.f64 (neg.f64 x) y x) y)
(* y (+ x (* y (- (* x y) x))))
(*.f64 (fma.f64 (-.f64 (*.f64 y x) x) y x) y)
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (fma.f64 (neg.f64 x) y x) y))
1
#s(literal 1 binary64)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(- (+ x (/ x (pow y 2))) (/ x y))
(-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
(-.f64 x (/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y)) y))
y
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y))
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
(-.f64 x (/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y)) y))

rewrite220.0ms (3.6%)

Memory
25.0MiB live, 269.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
0913
13513
220313
3189513
0846413
Stop Event
iter limit
node limit
iter limit
Counts
3 → 336
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
(*.f64 x y)
(+.f64 y #s(literal 1 binary64))
Outputs
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (*.f64 (neg.f64 x) y) (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (*.f64 (neg.f64 x) y) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 (*.f64 y x) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) (-.f64 y #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x) y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (/.f64 y (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 y (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 y (-.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(*.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 y x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))))
(*.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) (*.f64 y x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (*.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (*.f64 y x)))
(*.f64 (*.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 y #s(literal 1 binary64)))
(*.f64 (*.f64 x (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (pow.f64 (/.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) x) #s(literal -1 binary64)))
(*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
(*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (/.f64 x (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (/.f64 (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) x) #s(literal -1 binary64)))
(*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) x))
(*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 x (pow.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))))
(*.f64 (neg.f64 x) (*.f64 y (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))))
(*.f64 (neg.f64 x) (/.f64 y (-.f64 #s(literal -1 binary64) y)))
(*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (*.f64 (neg.f64 x) y))
(*.f64 (neg.f64 y) (/.f64 x (-.f64 #s(literal -1 binary64) y)))
(*.f64 (neg.f64 y) (*.f64 x (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(*.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (pow.f64 (*.f64 y x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (*.f64 y x))
(*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (*.f64 x (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))))
(*.f64 (*.f64 (neg.f64 x) y) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) (pow.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y))
(*.f64 (*.f64 y x) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 y (*.f64 (neg.f64 x) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))))
(*.f64 y (*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) y))))
(*.f64 y (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(*.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) y)))
(pow.f64 (exp.f64 (-.f64 (log1p.f64 y) (log.f64 (*.f64 y x)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x) y) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x) y)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x) y) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64)) (pow.f64 (*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y)) (fma.f64 (*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))) (*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))) (*.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y)) (*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))) (*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))) (*.f64 #s(literal 0 binary64) (*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y)))))))
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(-.f64 (/.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)))
(-.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y))
(-.f64 #s(literal 1 binary64) (/.f64 y #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log1p.f64 y) #s(literal -1 binary64))))
(exp.f64 (*.f64 (*.f64 (log1p.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (neg.f64 (neg.f64 y)) #s(literal 1 binary64))
(+.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) (neg.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 y)))
(+.f64 #s(literal 1 binary64) y)
(+.f64 y #s(literal 1 binary64))

eval69.0ms (1.1%)

Memory
-13.1MiB live, 64.0MiB allocated
Compiler

Compiled 7 069 to 1 055 computations (85.1% saved)

prune5.0ms (0.1%)

Memory
21.1MiB live, 21.1MiB allocated
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New3424346
Fresh000
Picked011
Done000
Total3425347
Accuracy
100.0%
Counts
347 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.7%
(/.f64 (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) (fma.f64 y y #s(literal -1 binary64)))
88.2%
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
90.6%
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
50.1%
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
50.7%
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (neg.f64 x) y x) y))
Compiler

Compiled 54 to 40 computations (25.9% saved)

simplify189.0ms (3.1%)

Memory
-7.6MiB live, 236.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 y #s(literal 1 binary64))
cost-diff0
(*.f64 y (-.f64 y #s(literal 1 binary64)))
cost-diff0
(*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64))))
cost-diff5
(/.f64 (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) (fma.f64 y y #s(literal -1 binary64)))
cost-diff0
(+.f64 #s(literal 1 binary64) y)
cost-diff0
(/.f64 x (+.f64 #s(literal 1 binary64) y))
cost-diff0
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
cost-diff0
(/.f64 x y)
cost-diff0
(-.f64 x (/.f64 x y))
cost-diff0
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
cost-diff0
(neg.f64 x)
cost-diff0
(fma.f64 (neg.f64 x) y x)
cost-diff0
(*.f64 (fma.f64 (neg.f64 x) y x) y)
cost-diff0
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (neg.f64 x) y x) y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022107
037102
163102
2129102
3311102
4554102
52606102
67065102
08045102
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (neg.f64 x) y x) y))
(*.f64 (fma.f64 (neg.f64 x) y x) y)
(fma.f64 (neg.f64 x) y x)
(neg.f64 x)
x
y
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
(-.f64 x (/.f64 x y))
x
(/.f64 x y)
y
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(/.f64 x (+.f64 #s(literal 1 binary64) y))
x
(+.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(/.f64 (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) (fma.f64 y y #s(literal -1 binary64)))
(*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64))))
x
(*.f64 y (-.f64 y #s(literal 1 binary64)))
y
(-.f64 y #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 y y #s(literal -1 binary64))
#s(literal -1 binary64)
Outputs
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (neg.f64 x) y x) y))
(*.f64 (fma.f64 (neg.f64 x) y x) y)
(fma.f64 (neg.f64 x) y x)
(neg.f64 x)
x
y
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
(-.f64 x (/.f64 x y))
x
(/.f64 x y)
y
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(*.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) x)
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(/.f64 x (-.f64 y #s(literal -1 binary64)))
x
(+.f64 #s(literal 1 binary64) y)
(-.f64 y #s(literal -1 binary64))
#s(literal 1 binary64)
y
(/.f64 (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) (fma.f64 y y #s(literal -1 binary64)))
(*.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) x)
(*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) x)
x
(*.f64 y (-.f64 y #s(literal 1 binary64)))
(*.f64 (-.f64 y #s(literal 1 binary64)) y)
y
(-.f64 y #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 y y #s(literal -1 binary64))
#s(literal -1 binary64)

localize58.0ms (0.9%)

Memory
0.9MiB live, 111.8MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 y #s(literal 1 binary64))
accuracy0.01171875
(*.f64 y (-.f64 y #s(literal 1 binary64)))
accuracy2.6445258452599094
(*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64))))
accuracy18.068509086691073
(/.f64 (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) (fma.f64 y y #s(literal -1 binary64)))
accuracy0.0
(+.f64 #s(literal 1 binary64) y)
accuracy0.0078125
(/.f64 x (+.f64 #s(literal 1 binary64) y))
accuracy5.988685170474375
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
accuracy0.0
(/.f64 x y)
accuracy0.00390625
(-.f64 x (/.f64 x y))
accuracy31.91763640043571
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
accuracy0.0
(fma.f64 (neg.f64 x) y x)
accuracy0.0
(neg.f64 x)
accuracy0.08203125
(*.f64 (fma.f64 (neg.f64 x) y x) y)
accuracy31.56741387475256
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (neg.f64 x) y x) y))
Samples
44.0ms256×0valid
Compiler

Compiled 206 to 47 computations (77.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 10.0ms (40.4% of total)
ival-div: 6.0ms (24.2% of total)
ival-add: 4.0ms (16.1% of total)
ival-sub: 2.0ms (8.1% of total)
ival-neg: 1.0ms (4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series19.0ms (0.3%)

Memory
-15.5MiB live, 32.6MiB allocated
Counts
14 → 58
Calls
Call 1
Inputs
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (neg.f64 x) y x) y))
(*.f64 (fma.f64 (neg.f64 x) y x) y)
(fma.f64 (neg.f64 x) y x)
(neg.f64 x)
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
(-.f64 x (/.f64 x y))
(/.f64 x y)
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) y)
(/.f64 (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) (fma.f64 y y #s(literal -1 binary64)))
(*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64))))
(*.f64 y (-.f64 y #s(literal 1 binary64)))
(-.f64 y #s(literal 1 binary64))
Outputs
(/ (* x y) (+ 1 y))
(* x (* y (+ 1 (* -1 y))))
(* x (+ 1 (* -1 y)))
(* -1 x)
(* x (- 1 (/ 1 y)))
(/ x y)
(/ x (+ 1 y))
(/ (* x (* y (- y 1))) (- (pow y 2) 1))
(* x (* y (- y 1)))
(* -1 (* x (* y (- y 1))))
(* -1 (* x (- y 1)))
(* -1 (* x (- (/ 1 y) 1)))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* y (- (* x y) x))))
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
x
(+ x (* -1 (* x y)))
(* -1 (/ x y))
(/ (- (* x y) x) y)
(+ x (* y (- (* x y) x)))
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))
1
(+ 1 y)
(* y (+ x (* y (+ (* -1 x) (* x y)))))
(* y (+ x (* y (+ (* -1 x) (* y (- (* -1 (* x y)) (* -1 x)))))))
(* -1 (* x y))
(* y (+ (* -1 x) (* x y)))
(* -1 y)
(* y (- y 1))
-1
(- y 1)
(+ x (* -1 (/ x y)))
(- (+ x (/ x (pow y 2))) (/ x y))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* y (+ (* -1 x) (/ x y)))
(/ (+ x (* -1 (/ x y))) y)
(/ (- (+ x (/ x (pow y 2))) (/ x y)) y)
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y)
y
(* y (+ 1 (/ 1 y)))
(+ x (+ (* -1 (/ x y)) (/ x (pow y 2))))
(- (+ x (+ (* -1 (/ x y)) (* -1 (/ x (pow y 3))))) (* -1 (/ x (pow y 2))))
(* x (pow y 2))
(* (pow y 2) (+ x (* -1 (/ x y))))
(pow y 2)
(* (pow y 2) (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (/ (+ (* -1 x) (/ x y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y))
(+ x (* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x y)) (* -1 x)) y))) y)))
(* -1 (* y (- (/ 1 y) 1)))
Calls

6 calls:

TimeVariablePointExpression
7.0ms
x
@inf
((/ (* x y) (+ y 1)) (* (+ (* (neg x) y) x) y) (+ (* (neg x) y) x) (neg x) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ x y) (* (/ x (+ 1 y)) y) (/ x (+ 1 y)) (+ 1 y) (/ (* x (* y (- y 1))) (+ (* y y) -1)) (* x (* y (- y 1))) (* y (- y 1)) (- y 1))
3.0ms
x
@-inf
((/ (* x y) (+ y 1)) (* (+ (* (neg x) y) x) y) (+ (* (neg x) y) x) (neg x) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ x y) (* (/ x (+ 1 y)) y) (/ x (+ 1 y)) (+ 1 y) (/ (* x (* y (- y 1))) (+ (* y y) -1)) (* x (* y (- y 1))) (* y (- y 1)) (- y 1))
3.0ms
x
@0
((/ (* x y) (+ y 1)) (* (+ (* (neg x) y) x) y) (+ (* (neg x) y) x) (neg x) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ x y) (* (/ x (+ 1 y)) y) (/ x (+ 1 y)) (+ 1 y) (/ (* x (* y (- y 1))) (+ (* y y) -1)) (* x (* y (- y 1))) (* y (- y 1)) (- y 1))
2.0ms
y
@-inf
((/ (* x y) (+ y 1)) (* (+ (* (neg x) y) x) y) (+ (* (neg x) y) x) (neg x) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ x y) (* (/ x (+ 1 y)) y) (/ x (+ 1 y)) (+ 1 y) (/ (* x (* y (- y 1))) (+ (* y y) -1)) (* x (* y (- y 1))) (* y (- y 1)) (- y 1))
2.0ms
y
@inf
((/ (* x y) (+ y 1)) (* (+ (* (neg x) y) x) y) (+ (* (neg x) y) x) (neg x) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ x y) (* (/ x (+ 1 y)) y) (/ x (+ 1 y)) (+ 1 y) (/ (* x (* y (- y 1))) (+ (* y y) -1)) (* x (* y (- y 1))) (* y (- y 1)) (- y 1))

simplify190.0ms (3.1%)

Memory
-1.0MiB live, 192.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114464
1376393
2875387
32971387
47861387
08267381
Stop Event
iter limit
node limit
Counts
58 → 56
Calls
Call 1
Inputs
(/ (* x y) (+ 1 y))
(* x (* y (+ 1 (* -1 y))))
(* x (+ 1 (* -1 y)))
(* -1 x)
(* x (- 1 (/ 1 y)))
(/ x y)
(/ x (+ 1 y))
(/ (* x (* y (- y 1))) (- (pow y 2) 1))
(* x (* y (- y 1)))
(* -1 (* x (* y (- y 1))))
(* -1 (* x (- y 1)))
(* -1 (* x (- (/ 1 y) 1)))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* y (- (* x y) x))))
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
x
(+ x (* -1 (* x y)))
(* -1 (/ x y))
(/ (- (* x y) x) y)
(+ x (* y (- (* x y) x)))
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))
1
(+ 1 y)
(* y (+ x (* y (+ (* -1 x) (* x y)))))
(* y (+ x (* y (+ (* -1 x) (* y (- (* -1 (* x y)) (* -1 x)))))))
(* -1 (* x y))
(* y (+ (* -1 x) (* x y)))
(* -1 y)
(* y (- y 1))
-1
(- y 1)
(+ x (* -1 (/ x y)))
(- (+ x (/ x (pow y 2))) (/ x y))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* y (+ (* -1 x) (/ x y)))
(/ (+ x (* -1 (/ x y))) y)
(/ (- (+ x (/ x (pow y 2))) (/ x y)) y)
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y)
y
(* y (+ 1 (/ 1 y)))
(+ x (+ (* -1 (/ x y)) (/ x (pow y 2))))
(- (+ x (+ (* -1 (/ x y)) (* -1 (/ x (pow y 3))))) (* -1 (/ x (pow y 2))))
(* x (pow y 2))
(* (pow y 2) (+ x (* -1 (/ x y))))
(pow y 2)
(* (pow y 2) (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (/ (+ (* -1 x) (/ x y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y))
(+ x (* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x y)) (* -1 x)) y))) y)))
(* -1 (* y (- (/ 1 y) 1)))
Outputs
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(* x (* y (+ 1 (* -1 y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(* x (+ 1 (* -1 y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 x)
(neg.f64 x)
(* x (- 1 (/ 1 y)))
(-.f64 x (/.f64 x y))
(/ x y)
(/.f64 x y)
(/ x (+ 1 y))
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(/ (* x (* y (- y 1))) (- (pow y 2) 1))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(* x (* y (- y 1)))
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) y)
(* -1 (* x (* y (- y 1))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(* -1 (* x (- y 1)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 (* x (- (/ 1 y) 1)))
(-.f64 x (/.f64 x y))
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (* x y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(* y (+ x (* y (- (* x y) x))))
(*.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) y x) y)
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y))
x
(+ x (* -1 (* x y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(/ (- (* x y) x) y)
(-.f64 x (/.f64 x y))
(+ x (* y (- (* x y) x)))
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) y x)
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
1
#s(literal 1 binary64)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
(* y (+ x (* y (+ (* -1 x) (* x y)))))
(*.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) y x) y)
(* y (+ x (* y (+ (* -1 x) (* y (- (* -1 (* x y)) (* -1 x)))))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y))
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* y (+ (* -1 x) (* x y)))
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) y)
(* -1 y)
(neg.f64 y)
(* y (- y 1))
(*.f64 (-.f64 y #s(literal 1 binary64)) y)
-1
#s(literal -1 binary64)
(- y 1)
(-.f64 y #s(literal 1 binary64))
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(- (+ x (/ x (pow y 2))) (/ x y))
(-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
(+.f64 (/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 x y)) y) x) y) x)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 x) y) y)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(* y (+ (* -1 x) (/ x y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(/ (+ x (* -1 (/ x y))) y)
(/.f64 (-.f64 x (/.f64 x y)) y)
(/ (- (+ x (/ x (pow y 2))) (/ x y)) y)
(/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y)) y)
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y)
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 x y)) y) x) y) x) y)
y
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) y)
(+ x (+ (* -1 (/ x y)) (/ x (pow y 2))))
(-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y))
(- (+ x (+ (* -1 (/ x y)) (* -1 (/ x (pow y 3))))) (* -1 (/ x (pow y 2))))
(+.f64 (/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 x y)) y) x) y) x)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* (pow y 2) (+ x (* -1 (/ x y))))
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) y)
(pow y 2)
(*.f64 y y)
(* (pow y 2) (- 1 (/ 1 y)))
(*.f64 (-.f64 y #s(literal 1 binary64)) y)
(* y (- 1 (/ 1 y)))
(-.f64 y #s(literal 1 binary64))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y))
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
(+.f64 (/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 x y)) y) x) y) x)
(* -1 (* y (+ x (* -1 (/ x y)))))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 (/ (+ (* -1 x) (/ x y)) y))
(/.f64 (-.f64 x (/.f64 x y)) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y))
(/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y)) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 x y)) y) x) y) x) y)
(+ x (* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x y)) (* -1 x)) y))) y)))
(+.f64 (/.f64 (-.f64 (/.f64 (-.f64 x (/.f64 x y)) y) x) y) x)
(* -1 (* y (- (/ 1 y) 1)))
(-.f64 y #s(literal 1 binary64))

rewrite230.0ms (3.8%)

Memory
13.8MiB live, 294.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02292
03787
115287
2113487
0890287
Stop Event
iter limit
node limit
iter limit
Counts
14 → 1 006
Calls
Call 1
Inputs
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (neg.f64 x) y x) y))
(*.f64 (fma.f64 (neg.f64 x) y x) y)
(fma.f64 (neg.f64 x) y x)
(neg.f64 x)
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
(-.f64 x (/.f64 x y))
(/.f64 x y)
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(/.f64 x (+.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) y)
(/.f64 (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) (fma.f64 y y #s(literal -1 binary64)))
(*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64))))
(*.f64 y (-.f64 y #s(literal 1 binary64)))
(-.f64 y #s(literal 1 binary64))
Outputs
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (neg.f64 x) y x) y))
(*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x x)) y) (pow.f64 (fma.f64 (neg.f64 y) x (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) y) (pow.f64 (fma.f64 x (+.f64 x (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 y (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x x))) (pow.f64 (fma.f64 (neg.f64 y) x (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 x (+.f64 x (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y)) x)
(*.f64 (*.f64 (neg.f64 x) y) (-.f64 y #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) x))
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) (neg.f64 x))
(*.f64 (fma.f64 (neg.f64 x) y x) y)
(*.f64 (neg.f64 x) (*.f64 (-.f64 y #s(literal 1 binary64)) y))
(*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y))
(*.f64 y (fma.f64 (neg.f64 x) y x))
(*.f64 x (neg.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) x) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) x))) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) x)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) (*.f64 (*.f64 (neg.f64 x) y) y)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (neg.f64 x) y) y) (*.f64 y x)))
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 (neg.f64 x) y)) (*.f64 y (*.f64 (neg.f64 x) y))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 (*.f64 y (*.f64 (neg.f64 x) y)) (*.f64 y x)))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) (*.f64 (*.f64 (neg.f64 x) y) y))) (-.f64 (*.f64 y x) (*.f64 (*.f64 (neg.f64 x) y) y)))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 y (*.f64 (neg.f64 x) y)) (*.f64 y (*.f64 (neg.f64 x) y)))) (-.f64 (*.f64 y x) (*.f64 y (*.f64 (neg.f64 x) y))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) x) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) x) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 x) y) y) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (neg.f64 x) y) y) (*.f64 (*.f64 (neg.f64 x) y) y) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) (*.f64 y x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 (neg.f64 x) y)) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (*.f64 y (*.f64 (neg.f64 x) y)) (*.f64 y (*.f64 (neg.f64 x) y)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 y (*.f64 (neg.f64 x) y)) (*.f64 y x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 x) y) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) (*.f64 (*.f64 (neg.f64 x) y) y)) (*.f64 (*.f64 y x) (*.f64 (*.f64 (neg.f64 x) y) y)))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 (neg.f64 x) y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y (*.f64 (neg.f64 x) y)) (*.f64 y (*.f64 (neg.f64 x) y))) (*.f64 (*.f64 y x) (*.f64 y (*.f64 (neg.f64 x) y))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x x)) y)) (neg.f64 (fma.f64 (neg.f64 y) x (neg.f64 x))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) y)) (neg.f64 (fma.f64 x (+.f64 x (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 y (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (fma.f64 (neg.f64 y) x (neg.f64 x))))
(/.f64 (neg.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 x (+.f64 x (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x x)) y) (fma.f64 (neg.f64 y) x (neg.f64 x)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) y) (fma.f64 x (+.f64 x (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 (*.f64 y (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x x))) (fma.f64 (neg.f64 y) x (neg.f64 x)))
(/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (fma.f64 x (+.f64 x (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 x) y) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) x (neg.f64 x)) (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x x)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) x (neg.f64 x)) (*.f64 y (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))))
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y x)))
(neg.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) x))
(fma.f64 (*.f64 y (*.f64 y x)) #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) y) #s(literal -1 binary64)))
(fma.f64 (*.f64 (*.f64 y x) y) #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 #s(literal 0 binary64) (*.f64 (-.f64 y #s(literal 1 binary64)) y) (*.f64 (fma.f64 (neg.f64 x) y x) y))
(fma.f64 (*.f64 (neg.f64 x) y) #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) y) y))
(fma.f64 (*.f64 (neg.f64 x) y) y (*.f64 (*.f64 (neg.f64 x) y) #s(literal -1 binary64)))
(fma.f64 (*.f64 (neg.f64 x) y) y (*.f64 y x))
(fma.f64 (*.f64 y y) (neg.f64 x) (*.f64 (*.f64 y #s(literal -1 binary64)) (neg.f64 x)))
(fma.f64 (*.f64 y y) (neg.f64 x) (*.f64 (neg.f64 y) (neg.f64 x)))
(fma.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y x)) (*.f64 y x))
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 y x) y) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y x) #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) y) (*.f64 (*.f64 y x) (neg.f64 y)))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) y) (*.f64 (*.f64 (neg.f64 x) y) y))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) y) (*.f64 y (*.f64 (neg.f64 x) y)))
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 0 binary64) (*.f64 (fma.f64 (neg.f64 x) y x) y))
(fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 (neg.f64 x) (*.f64 y #s(literal -1 binary64))))
(fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 (neg.f64 x) (neg.f64 y)))
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (*.f64 (neg.f64 y) (*.f64 y x)))
(fma.f64 (*.f64 y x) #s(literal 1 binary64) (*.f64 (*.f64 y x) (neg.f64 y)))
(fma.f64 (*.f64 y x) #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) y) y))
(fma.f64 (*.f64 y x) #s(literal 1 binary64) (*.f64 y (*.f64 (neg.f64 x) y)))
(fma.f64 y (*.f64 (neg.f64 x) y) (*.f64 y x))
(fma.f64 y x (*.f64 (*.f64 y x) (neg.f64 y)))
(fma.f64 y x (*.f64 (*.f64 (neg.f64 x) y) y))
(fma.f64 y x (*.f64 y (*.f64 (neg.f64 x) y)))
(fma.f64 x y (*.f64 (*.f64 y x) (neg.f64 y)))
(fma.f64 x y (*.f64 (*.f64 (neg.f64 x) y) y))
(fma.f64 x y (*.f64 y (*.f64 (neg.f64 x) y)))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) x))
(+.f64 (*.f64 (*.f64 y (*.f64 y x)) #s(literal -1 binary64)) (*.f64 (*.f64 (neg.f64 x) y) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 y x) y) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 0 binary64) (*.f64 (-.f64 y #s(literal 1 binary64)) y)) (*.f64 (fma.f64 (neg.f64 x) y x) y))
(+.f64 (*.f64 (*.f64 y y) (neg.f64 x)) (*.f64 (*.f64 y #s(literal -1 binary64)) (neg.f64 x)))
(+.f64 (*.f64 (*.f64 y y) (neg.f64 x)) (*.f64 (neg.f64 y) (neg.f64 x)))
(+.f64 (*.f64 (*.f64 (neg.f64 x) y) #s(literal -1 binary64)) (*.f64 (*.f64 (neg.f64 x) y) y))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y x))) (*.f64 y x))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y x) y)) (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y x) #s(literal -1 binary64))))
(+.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal 0 binary64)) (*.f64 (fma.f64 (neg.f64 x) y x) y))
(+.f64 (*.f64 (neg.f64 x) (*.f64 y y)) (*.f64 (neg.f64 x) (*.f64 y #s(literal -1 binary64))))
(+.f64 (*.f64 (neg.f64 x) (*.f64 y y)) (*.f64 (neg.f64 x) (neg.f64 y)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 y x)) (*.f64 (neg.f64 y) (*.f64 y x)))
(+.f64 (*.f64 (*.f64 (neg.f64 x) y) y) (*.f64 (*.f64 (neg.f64 x) y) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 (neg.f64 x) y) y) (*.f64 y x))
(+.f64 (*.f64 y (*.f64 (neg.f64 x) y)) (*.f64 y x))
(+.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y x)))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (*.f64 x (-.f64 y #s(literal 1 binary64)))) y))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (*.f64 (-.f64 y #s(literal 1 binary64)) x)))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (*.f64 x (-.f64 y #s(literal 1 binary64)))))
(+.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (neg.f64 x) y x) y))
(+.f64 (*.f64 y x) (*.f64 (*.f64 y x) (neg.f64 y)))
(+.f64 (*.f64 y x) (*.f64 (*.f64 (neg.f64 x) y) y))
(+.f64 (*.f64 y x) (*.f64 y (*.f64 (neg.f64 x) y)))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 y x))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 y) x (neg.f64 x)))))
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 x (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 (neg.f64 y) x (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (*.f64 y x))))))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (pow.f64 (fma.f64 x (+.f64 x (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y x))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y x)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) x (neg.f64 x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) x (neg.f64 x)))) (*.f64 (/.f64 (*.f64 x x) (fma.f64 (neg.f64 y) x (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (neg.f64 y) x (neg.f64 x))))) (+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) x (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (neg.f64 y) x (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) x (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 (neg.f64 y) x (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) x (neg.f64 x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) x (neg.f64 x))) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 (neg.f64 y) x (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (neg.f64 y) x (neg.f64 x))) (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) x (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (neg.f64 y) x (neg.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 (+.f64 x (*.f64 y x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 y) x (neg.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (+.f64 x (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) x (neg.f64 x))) (*.f64 (fma.f64 (neg.f64 y) x (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 (neg.f64 y) x (neg.f64 x)) (fma.f64 (neg.f64 y) x (neg.f64 x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 x (*.f64 y x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (neg.f64 y) x (neg.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (*.f64 y x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (+.f64 x (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (neg.f64 y) x (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 x x (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (*.f64 y x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 x (+.f64 x (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (*.f64 y x)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
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(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 y y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))))
(fma.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 y y y) #s(literal -1 binary64))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) #s(literal -1 binary64))))
(fma.f64 (*.f64 y y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 y y) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y)))
(fma.f64 (*.f64 y y) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))
(fma.f64 (*.f64 y y) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(fma.f64 (*.f64 y y) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64))))
(fma.f64 (*.f64 y y) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 y y) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (neg.f64 y) #s(literal -1 binary64))
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (*.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) y #s(literal -1 binary64))
(fma.f64 y (/.f64 y (-.f64 y #s(literal -1 binary64))) (*.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y)))
(fma.f64 y (/.f64 y (-.f64 y #s(literal -1 binary64))) (*.f64 (neg.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))
(fma.f64 y (/.f64 y (-.f64 y #s(literal -1 binary64))) (*.f64 (neg.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(fma.f64 y (/.f64 y (-.f64 y #s(literal -1 binary64))) (*.f64 (neg.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64))))
(fma.f64 y (/.f64 y (-.f64 y #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 y (/.f64 y (-.f64 y #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 y #s(literal 1 binary64) #s(literal -1 binary64))
(expm1.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1 binary64))))))
(-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 (*.f64 y y) (-.f64 #s(literal -1 binary64) y)))
(-.f64 (*.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) y) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) (pow.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) y))
(-.f64 y #s(literal 1 binary64))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))) (*.f64 (neg.f64 y) (*.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (*.f64 y y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))))
(+.f64 (*.f64 (*.f64 y y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))))
(+.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))))
(+.f64 (*.f64 (*.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (neg.f64 y)))
(+.f64 (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 y y)))
(+.f64 (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 y y)) (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) y)) (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) y)))
(+.f64 (*.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) y) (*.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) y) (*.f64 (neg.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))
(+.f64 (*.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) y) (*.f64 (neg.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(+.f64 (*.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) y) (*.f64 (neg.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64))))
(+.f64 (*.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) y) (*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 (*.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) y) (neg.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) (neg.f64 (pow.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) #s(literal -1 binary64))))
(+.f64 #s(literal -1 binary64) y)
(+.f64 y #s(literal -1 binary64))

eval143.0ms (2.3%)

Memory
26.2MiB live, 216.5MiB allocated
Compiler

Compiled 20 211 to 3 005 computations (85.1% saved)

prune20.0ms (0.3%)

Memory
-13.7MiB live, 58.8MiB allocated
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New8784882
Fresh000
Picked044
Done101
Total8798887
Accuracy
100.0%
Counts
887 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.7%
(/.f64 (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) (fma.f64 y y #s(literal -1 binary64)))
90.6%
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
50.1%
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
50.7%
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (neg.f64 x) y x) y))
50.6%
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) (neg.f64 x)))
50.7%
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y)))
51.3%
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
3.1%
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)))
Compiler

Compiled 107 to 77 computations (28% saved)

simplify54.0ms (0.9%)

Memory
-5.9MiB live, 46.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 y #s(literal 1 binary64))
cost-diff0
(*.f64 (-.f64 y #s(literal 1 binary64)) y)
cost-diff0
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) (neg.f64 x)))
cost-diff1
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) (neg.f64 x))
cost-diff0
(-.f64 #s(literal 1 binary64) y)
cost-diff0
(*.f64 y x)
cost-diff0
(*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y))
cost-diff0
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y)))
cost-diff0
(*.f64 y x)
cost-diff0
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
cost-diff0
(neg.f64 x)
cost-diff0
(/.f64 (neg.f64 x) y)
cost-diff0
#s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))
cost-diff0
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021120
029118
154118
2113118
3267118
4551118
5962118
61351118
71726118
81778118
91788118
101791118
111792118
01792118
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)))
#s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))
(/.f64 (neg.f64 x) y)
(neg.f64 x)
x
y
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
(*.f64 y x)
y
x
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y))
(*.f64 y x)
y
x
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) (neg.f64 x)))
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) (neg.f64 x))
(*.f64 (-.f64 y #s(literal 1 binary64)) y)
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
(neg.f64 x)
x
Outputs
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)))
#s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))
(/.f64 (neg.f64 x) y)
(neg.f64 x)
x
y
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
(*.f64 y x)
y
x
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y)))
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y))
(*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(*.f64 y x)
y
x
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) (neg.f64 x)))
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y))
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) (neg.f64 x))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(*.f64 (-.f64 y #s(literal 1 binary64)) y)
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
(neg.f64 x)
x

localize48.0ms (0.8%)

Memory
-10.8MiB live, 104.0MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(neg.f64 x)
accuracy0.01171875
(*.f64 (-.f64 y #s(literal 1 binary64)) y)
accuracy2.6445258452599094
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) (neg.f64 x))
accuracy31.56741387475256
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) (neg.f64 x)))
accuracy0.0
(-.f64 #s(literal 1 binary64) y)
accuracy0.0
(*.f64 y x)
accuracy0.0859375
(*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y))
accuracy31.56741387475256
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y)))
accuracy0.0
(*.f64 y x)
accuracy31.16443143201755
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
accuracy0.0
(/.f64 (neg.f64 x) y)
accuracy0.0
(neg.f64 x)
accuracy30.97501004800751
#s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))
accuracy31.91763640043571
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)))
Samples
34.0ms256×0valid
Compiler

Compiled 205 to 40 computations (80.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 7.0ms (31.1% of total)
ival-div: 5.0ms (22.2% of total)
ival-sub: 5.0ms (22.2% of total)
ival-add: 4.0ms (17.8% of total)
ival-neg: 1.0ms (4.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory
26.0MiB live, 26.1MiB allocated
Counts
13 → 33
Calls
Call 1
Inputs
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)))
#s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))
(/.f64 (neg.f64 x) y)
(neg.f64 x)
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
(*.f64 y x)
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 1 binary64) y)
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) (neg.f64 x))
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) (neg.f64 x)))
(*.f64 (-.f64 y #s(literal 1 binary64)) y)
(-.f64 y #s(literal 1 binary64))
Outputs
(/ (* x y) (+ 1 y))
(* x (- 1 (/ 1 y)))
(* -1 (/ x y))
(* -1 x)
(* x y)
(* x (* y (- 1 y)))
(* -1 (* x (* y (- y 1))))
(* -1 (* x (- (/ 1 y) 1)))
(* y (+ x (* -1 (* x y))))
(* y (+ x (* y (- (* x y) x))))
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
(/ (- (* x y) x) y)
1
(+ 1 (* -1 y))
(* -1 y)
(* y (- y 1))
-1
(- y 1)
x
(+ x (* -1 (/ x y)))
(- (+ x (/ x (pow y 2))) (/ x y))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* y (- (/ 1 y) 1))
(pow y 2)
(* (pow y 2) (- 1 (/ 1 y)))
y
(* y (- 1 (/ 1 y)))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- (/ 1 y) 1)))
Calls

6 calls:

TimeVariablePointExpression
4.0ms
y
@inf
((/ (* x y) (+ y 1)) (- x (/ x y)) (/ (neg x) y) (neg x) (/ (* x y) (+ y 1)) (* y x) (/ (* x y) (+ y 1)) (* (* y x) (- 1 y)) (- 1 y) (* (* (- y 1) y) (neg x)) (/ (* x y) (+ y 1)) (* (- y 1) y) (- y 1))
2.0ms
x
@0
((/ (* x y) (+ y 1)) (- x (/ x y)) (/ (neg x) y) (neg x) (/ (* x y) (+ y 1)) (* y x) (/ (* x y) (+ y 1)) (* (* y x) (- 1 y)) (- 1 y) (* (* (- y 1) y) (neg x)) (/ (* x y) (+ y 1)) (* (- y 1) y) (- y 1))
2.0ms
x
@inf
((/ (* x y) (+ y 1)) (- x (/ x y)) (/ (neg x) y) (neg x) (/ (* x y) (+ y 1)) (* y x) (/ (* x y) (+ y 1)) (* (* y x) (- 1 y)) (- 1 y) (* (* (- y 1) y) (neg x)) (/ (* x y) (+ y 1)) (* (- y 1) y) (- y 1))
2.0ms
x
@-inf
((/ (* x y) (+ y 1)) (- x (/ x y)) (/ (neg x) y) (neg x) (/ (* x y) (+ y 1)) (* y x) (/ (* x y) (+ y 1)) (* (* y x) (- 1 y)) (- 1 y) (* (* (- y 1) y) (neg x)) (/ (* x y) (+ y 1)) (* (- y 1) y) (- y 1))
1.0ms
y
@0
((/ (* x y) (+ y 1)) (- x (/ x y)) (/ (neg x) y) (neg x) (/ (* x y) (+ y 1)) (* y x) (/ (* x y) (+ y 1)) (* (* y x) (- 1 y)) (- 1 y) (* (* (- y 1) y) (neg x)) (/ (* x y) (+ y 1)) (* (- y 1) y) (- y 1))

simplify162.0ms (2.7%)

Memory
-6.8MiB live, 154.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068203
1194189
2479181
31424175
44504175
57898175
08302173
Stop Event
iter limit
node limit
Counts
33 → 31
Calls
Call 1
Inputs
(/ (* x y) (+ 1 y))
(* x (- 1 (/ 1 y)))
(* -1 (/ x y))
(* -1 x)
(* x y)
(* x (* y (- 1 y)))
(* -1 (* x (* y (- y 1))))
(* -1 (* x (- (/ 1 y) 1)))
(* y (+ x (* -1 (* x y))))
(* y (+ x (* y (- (* x y) x))))
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
(/ (- (* x y) x) y)
1
(+ 1 (* -1 y))
(* -1 y)
(* y (- y 1))
-1
(- y 1)
x
(+ x (* -1 (/ x y)))
(- (+ x (/ x (pow y 2))) (/ x y))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* y (- (/ 1 y) 1))
(pow y 2)
(* (pow y 2) (- 1 (/ 1 y)))
y
(* y (- 1 (/ 1 y)))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- (/ 1 y) 1)))
Outputs
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(* x (- 1 (/ 1 y)))
(-.f64 x (/.f64 x y))
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 x)
(neg.f64 x)
(* x y)
(*.f64 y x)
(* x (* y (- 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(* -1 (* x (* y (- y 1))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(* -1 (* x (- (/ 1 y) 1)))
(-.f64 x (/.f64 x y))
(* y (+ x (* -1 (* x y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(* y (+ x (* y (- (* x y) x))))
(*.f64 (fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) y x) y)
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y))
(/ (- (* x y) x) y)
(-.f64 x (/.f64 x y))
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(* -1 y)
(neg.f64 y)
(* y (- y 1))
(*.f64 (-.f64 y #s(literal 1 binary64)) y)
-1
#s(literal -1 binary64)
(- y 1)
(-.f64 y #s(literal 1 binary64))
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(- (+ x (/ x (pow y 2))) (/ x y))
(-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
(-.f64 x (/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y)) y))
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 x) y) y)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(pow y 2)
(*.f64 y y)
(* (pow y 2) (- 1 (/ 1 y)))
(*.f64 (-.f64 y #s(literal 1 binary64)) y)
y
(* y (- 1 (/ 1 y)))
(-.f64 y #s(literal 1 binary64))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y))
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
(-.f64 x (/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y)) y))
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- (/ 1 y) 1)))
(-.f64 y #s(literal 1 binary64))

rewrite212.0ms (3.5%)

Memory
-9.6MiB live, 228.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021105
029103
1110103
2702103
37993103
08478103
Stop Event
iter limit
node limit
iter limit
Counts
13 → 697
Calls
Call 1
Inputs
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)))
#s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))
(/.f64 (neg.f64 x) y)
(neg.f64 x)
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
(*.f64 y x)
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 1 binary64) y)
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) (neg.f64 x))
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) (neg.f64 x)))
(*.f64 (-.f64 y #s(literal 1 binary64)) y)
(-.f64 y #s(literal 1 binary64))
Outputs
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)))
#s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))
(*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) x)
(*.f64 (pow.f64 (/.f64 (neg.f64 y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (neg.f64 y) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) x)
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 x y) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y))
(*.f64 x (/.f64 #s(literal -1 binary64) y))
(pow.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64))
(/.f64 (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 y #s(literal -1 binary64))) (*.f64 x x))
(/.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (*.f64 x x))
(/.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) y)
(/.f64 (/.f64 x #s(literal -1 binary64)) y)
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) x)) (neg.f64 y)) (*.f64 (/.f64 (neg.f64 y) x) y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (neg.f64 x) y)) (*.f64 (neg.f64 y) y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y x)) y) (*.f64 (/.f64 y x) y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 y x)) (*.f64 y y))
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) x) x)
(/.f64 (neg.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 x y))
(/.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (pow.f64 (/.f64 (neg.f64 y) x) #s(literal -3 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 x y)))))
(/.f64 (*.f64 (neg.f64 x) x) (*.f64 y x))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 y (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (/.f64 y x))
(/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))
(/.f64 (neg.f64 x) y)
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x))
(/.f64 x (neg.f64 y))
(neg.f64 (/.f64 x y))
(fma.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 0 binary64) (/.f64 (neg.f64 x) y))
(-.f64 #s(literal 0 binary64) (/.f64 x y))
(exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64)))
(+.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 0 binary64)) (/.f64 (neg.f64 x) y))
(+.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y))
(*.f64 (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 x #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (*.f64 x x))
(/.f64 (*.f64 (neg.f64 x) x) x)
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) #s(literal 0 binary64))))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 x x))
(/.f64 (*.f64 x x) (neg.f64 x))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (neg.f64 x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(neg.f64 x)
(fma.f64 (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) x)
(-.f64 (/.f64 #s(literal 0 binary64) x) x)
(-.f64 #s(literal 0 binary64) x)
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(+.f64 (neg.f64 x) #s(literal 0 binary64))
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) y))
(*.f64 (neg.f64 y) (neg.f64 x))
(*.f64 (neg.f64 x) (neg.f64 y))
(*.f64 #s(literal 1 binary64) (*.f64 y x))
(*.f64 (*.f64 y x) #s(literal 1 binary64))
(*.f64 y x)
(*.f64 x y)
(neg.f64 (*.f64 (neg.f64 x) y))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) y))
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y))
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) y) x) (fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (neg.f64 y) y (-.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) y) x) (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) y) x) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 y y y)))
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) y) x) (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 y y y) (fma.f64 y y (-.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (neg.f64 y)) (fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (neg.f64 y) y (-.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (neg.f64 y)) (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (neg.f64 y)) (neg.f64 x)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)))) (fma.f64 y y (-.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (neg.f64 y)) (neg.f64 x)) (+.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 (-.f64 y #s(literal -1 binary64)) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) y) x) #s(literal 1 binary64)) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) y) x) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) y) x) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (neg.f64 y)) #s(literal 1 binary64)) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (neg.f64 y)) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (neg.f64 y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (*.f64 (*.f64 y x) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 y #s(literal 1 binary64)))) (-.f64 y #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 y x) (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) y)
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 y x))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (*.f64 y x) (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 y x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (*.f64 y x) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) y))
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (*.f64 (neg.f64 x) y) (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(*.f64 (*.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (*.f64 x (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (pow.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) (*.f64 (neg.f64 x) y)))
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (neg.f64 x) y) (pow.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 y #s(literal 1 binary64))) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) y))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 y x) (pow.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) (*.f64 y x)))
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(fma.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) y) (*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) y) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(fma.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 y (pow.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (neg.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64))))
(fma.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 y (pow.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (neg.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(fma.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 y (pow.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 y (pow.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(fma.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 y y) (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)))
(fma.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 y y)))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) y (*.f64 (neg.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64))))
(fma.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) y (*.f64 (neg.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(fma.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) y (*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) y (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 y) #s(literal -1 binary64))
(fma.f64 (*.f64 y y) (/.f64 y (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 y y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 y y) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64))))
(fma.f64 (*.f64 y y) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(fma.f64 (*.f64 y y) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 y y) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 y y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) y #s(literal -1 binary64))
(fma.f64 y (/.f64 (*.f64 y y) (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 y (/.f64 y (-.f64 y #s(literal -1 binary64))) (*.f64 (neg.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64))))
(fma.f64 y (/.f64 y (-.f64 y #s(literal -1 binary64))) (*.f64 (neg.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(fma.f64 y (/.f64 y (-.f64 y #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 y (/.f64 y (-.f64 y #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(fma.f64 y #s(literal 1 binary64) #s(literal -1 binary64))
(-.f64 (*.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) y) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 y #s(literal 1 binary64))
(+.f64 (*.f64 (*.f64 y y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (*.f64 y y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))))
(+.f64 (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 y y)) (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 y y)))
(+.f64 (*.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) y) (*.f64 (neg.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64))))
(+.f64 (*.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) y) (*.f64 (neg.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))))
(+.f64 (*.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) y) (*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 (*.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) y) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 #s(literal -1 binary64) y)
(+.f64 y #s(literal -1 binary64))

eval165.0ms (2.7%)

Memory
-8.6MiB live, 107.9MiB allocated
Compiler

Compiled 16 202 to 2 241 computations (86.2% saved)

prune11.0ms (0.2%)

Memory
32.9MiB live, 32.9MiB allocated
Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New6111612
Fresh000
Picked134
Done044
Total6128620
Accuracy
100.0%
Counts
620 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.7%
(/.f64 (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) (fma.f64 y y #s(literal -1 binary64)))
90.6%
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
50.1%
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
50.7%
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (neg.f64 x) y x) y))
50.6%
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x))
50.7%
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y)))
51.3%
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
3.1%
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)))
Compiler

Compiled 106 to 76 computations (28.3% saved)

simplify70.0ms (1.1%)

Memory
-23.9MiB live, 14.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 1 binary64) y)
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
cost-diff0
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
cost-diff0
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01033
01333
12533
24433
38433
418733
531033
643533
767533
891633
9107533
10131433
11151033
12151233
13151433
14151733
15151833
0151833
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x
Outputs
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x

localize21.0ms (0.3%)

Memory
27.4MiB live, 27.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 #s(literal 1 binary64) y)
accuracy0.01171875
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
accuracy2.6445258452599094
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
accuracy31.56741387475256
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x))
Samples
15.0ms256×0valid
Compiler

Compiled 60 to 22 computations (63.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 5.0ms (57% of total)
ival-div: 1.0ms (11.4% of total)
ival-sub: 1.0ms (11.4% of total)
ival-add: 1.0ms (11.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series43.0ms (0.7%)

Memory
-30.1MiB live, 7.8MiB allocated
Counts
4 → 23
Calls
Call 1
Inputs
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(-.f64 #s(literal 1 binary64) y)
Outputs
(/ (* x y) (+ 1 y))
(* x (* y (- 1 y)))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* y (- (* x y) x))))
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
y
(* y (+ 1 (* -1 y)))
1
(+ 1 (* -1 y))
x
(+ x (* -1 (/ x y)))
(- (+ x (/ x (pow y 2))) (/ x y))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* -1 (pow y 2))
(* (pow y 2) (- (/ 1 y) 1))
(* -1 y)
(* y (- (/ 1 y) 1))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
(* -1 (* y (- 1 (/ 1 y))))
Calls

6 calls:

TimeVariablePointExpression
40.0ms
x
@-inf
((/ (* x y) (+ y 1)) (* (* (- 1 y) y) x) (* (- 1 y) y) (- 1 y))
1.0ms
x
@0
((/ (* x y) (+ y 1)) (* (* (- 1 y) y) x) (* (- 1 y) y) (- 1 y))
1.0ms
x
@inf
((/ (* x y) (+ y 1)) (* (* (- 1 y) y) x) (* (- 1 y) y) (- 1 y))
1.0ms
y
@-inf
((/ (* x y) (+ y 1)) (* (* (- 1 y) y) x) (* (- 1 y) y) (- 1 y))
1.0ms
y
@inf
((/ (* x y) (+ y 1)) (* (* (- 1 y) y) x) (* (- 1 y) y) (- 1 y))

simplify303.0ms (5%)

Memory
-23.4MiB live, 195.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061159
1179152
2398144
31276138
44161138
57587138
08188136
Stop Event
iter limit
node limit
Counts
23 → 21
Calls
Call 1
Inputs
(/ (* x y) (+ 1 y))
(* x (* y (- 1 y)))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* y (- (* x y) x))))
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
y
(* y (+ 1 (* -1 y)))
1
(+ 1 (* -1 y))
x
(+ x (* -1 (/ x y)))
(- (+ x (/ x (pow y 2))) (/ x y))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* -1 (pow y 2))
(* (pow y 2) (- (/ 1 y) 1))
(* -1 y)
(* y (- (/ 1 y) 1))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
(* -1 (* y (- 1 (/ 1 y))))
Outputs
(/ (* x y) (+ 1 y))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(* x (* y (- 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (* x y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(* y (+ x (* y (- (* x y) x))))
(*.f64 (fma.f64 (-.f64 (*.f64 y x) x) y x) y)
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y))
y
(* y (+ 1 (* -1 y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(- (+ x (/ x (pow y 2))) (/ x y))
(-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
(-.f64 x (/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y)) y))
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* (pow y 2) (- (/ 1 y) 1))
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(* -1 y)
(neg.f64 y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y))
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
(-.f64 x (/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y)) y))
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)

rewrite499.0ms (8.2%)

Memory
39.0MiB live, 118.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01030
01330
15330
232330
3347030
01190427
Stop Event
iter limit
node limit
iter limit
Counts
4 → 425
Calls
Call 1
Inputs
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(-.f64 #s(literal 1 binary64) y)
Outputs
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 y y y) x))
(*.f64 (/.f64 (*.f64 (+.f64 y (pow.f64 y #s(literal 3 binary64))) x) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 y) y (-.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 (*.f64 (+.f64 y (pow.f64 y #s(literal 3 binary64))) x) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) y))
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(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 9 binary64)))) (-.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (neg.f64 y) y (-.f64 #s(literal -1 binary64) y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (neg.f64 y) y (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (neg.f64 y) y (-.f64 #s(literal -1 binary64) y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (/.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal -1 binary64) y)) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal -1 binary64) y)) y (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 y y) (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)))
(fma.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 y y)))
(fma.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal 2 binary64))) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (neg.f64 y) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (*.f64 y y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 y y) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal 2 binary64))) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (-.f64 #s(literal -1 binary64) y) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -2 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 y y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (neg.f64 y) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 #s(literal 1 binary64) y #s(literal 1 binary64))
(fma.f64 y (/.f64 y (-.f64 #s(literal -1 binary64) y)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal -1 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal -1 binary64) y))))
(fma.f64 y #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 y #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 y (/.f64 y (-.f64 #s(literal -1 binary64) y))) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(-.f64 (*.f64 y (/.f64 y (-.f64 #s(literal -1 binary64) y))) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y))
(-.f64 #s(literal 1 binary64) (neg.f64 y))
(-.f64 #s(literal 1 binary64) y)
(exp.f64 (neg.f64 (*.f64 (log1p.f64 y) #s(literal -1 binary64))))
(exp.f64 (*.f64 (*.f64 (log1p.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal -1 binary64) y))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal -1 binary64) y))))
(+.f64 (*.f64 (*.f64 y y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (*.f64 y y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))))
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal -1 binary64) y)) y) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 y y)) (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 y y)))
(+.f64 (neg.f64 (neg.f64 y)) #s(literal 1 binary64))
(+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))))
(+.f64 (*.f64 y (/.f64 y (-.f64 #s(literal -1 binary64) y))) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(+.f64 (neg.f64 y) #s(literal 1 binary64))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 y)))
(+.f64 #s(literal 1 binary64) (neg.f64 y))
(+.f64 #s(literal 1 binary64) y)
(+.f64 y #s(literal 1 binary64))

eval427.0ms (7%)

Memory
-8.1MiB live, 66.7MiB allocated
Compiler

Compiled 11 068 to 1 744 computations (84.2% saved)

prune83.0ms (1.4%)

Memory
-20.1MiB live, 27.5MiB allocated
Pruning

9 alts after pruning (1 fresh and 8 done)

PrunedKeptTotal
New4391440
Fresh000
Picked011
Done077
Total4399448
Accuracy
100.0%
Counts
448 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.7%
(/.f64 (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) (fma.f64 y y #s(literal -1 binary64)))
90.6%
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
50.1%
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
50.7%
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (neg.f64 x) y x) y))
51.8%
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 y y y) x))
50.6%
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x))
50.7%
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y)))
51.3%
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
3.1%
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)))
Compiler

Compiled 263 to 130 computations (50.6% saved)

regimes13.0ms (0.2%)

Memory
10.8MiB live, 10.8MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 y y y) x))
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)))
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y)))
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x))
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (neg.f64 x) y x) y))
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) (neg.f64 x)))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
(/.f64 (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) (fma.f64 y y #s(literal -1 binary64)))
Outputs
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
Calls

3 calls:

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

Compiled 9 to 10 computations (-11.1% saved)

regimes11.0ms (0.2%)

Memory
13.5MiB live, 13.5MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 y y y) x))
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)))
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y)))
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x))
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (neg.f64 x) y x) y))
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) (neg.f64 x)))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
Outputs
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
Calls

3 calls:

3.0ms
x
3.0ms
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
3.0ms
y
Results
AccuracySegmentsBranch
100.0%3y
90.6%1x
90.6%1(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes33.0ms (0.5%)

Memory
-34.0MiB live, 4.9MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 y y y) x))
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)))
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y)))
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x))
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (neg.f64 x) y x) y))
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) (neg.f64 x)))
Outputs
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (neg.f64 x) y x) y))
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
Calls

1 calls:

33.0ms
y
Results
AccuracySegmentsBranch
99.2%3y
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes8.0ms (0.1%)

Memory
12.5MiB live, 12.5MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 y y y) x))
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)))
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y)))
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x))
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (neg.f64 x) y x) y))
Outputs
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 y y y) x))
Calls

3 calls:

2.0ms
y
2.0ms
x
2.0ms
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
51.8%1x
51.8%1(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
51.8%1y
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes4.0ms (0.1%)

Memory
7.2MiB live, 7.2MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
Outputs
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
Calls

3 calls:

1.0ms
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
51.3%1y
51.3%1x
51.3%1(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.47243262019585e+266
1.1380975108599624e+268
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch23.0ms (0.4%)

Memory
-8.2MiB live, 30.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
64320.01403873977
377301527.63884896
10.0ms
-2.8799317674483546e+66
-2.0265077019361076e+63
Samples
10.0ms256×0valid
Compiler

Compiled 330 to 283 computations (14.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (40.9% of total)
ival-mult: 2.0ms (40.9% of total)
ival-add: 1.0ms (20.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch41.0ms (0.7%)

Memory
-2.0MiB live, 35.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
27.0ms
0.00028155885316106995
64320.01403873977
12.0ms
-529884690626141.6
-0.00011749869412242948
Samples
28.0ms304×0valid
Compiler

Compiled 542 to 410 computations (24.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (34.7% of total)
ival-mult: 2.0ms (34.7% of total)
ival-add: 1.0ms (17.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify96.0ms (1.6%)

Memory
12.3MiB live, 52.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038121
155121
267121
376121
485121
592121
6110121
7228121
83769121
96924121
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 400000000000000012286413076444059885886034571389000292814876374531380409162937624526468966073070803082287079708901224019553937208809034835924828501382355545655269878635389339239915163107997413501300548746200222675188211460513985939292611202803332289656418842005471232 binary64)) (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))))
(if (<=.f64 y #s(literal -2049999999999999963324268916181853087014912836703762059811094528 binary64)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (if (<=.f64 y #s(literal 122000000 binary64)) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (neg.f64 x) y x) y)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))))
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 y y y) x))
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
Outputs
(if (<=.f64 (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 400000000000000012286413076444059885886034571389000292814876374531380409162937624526468966073070803082287079708901224019553937208809034835924828501382355545655269878635389339239915163107997413501300548746200222675188211460513985939292611202803332289656418842005471232 binary64)) (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))))
(if (<=.f64 y #s(literal -2049999999999999963324268916181853087014912836703762059811094528 binary64)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (if (<=.f64 y #s(literal 122000000 binary64)) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))))
(if (or (<=.f64 y #s(literal -2049999999999999963324268916181853087014912836703762059811094528 binary64)) (not (<=.f64 y #s(literal 122000000 binary64)))) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (neg.f64 x) y x) y)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))))
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 1 binary64)))) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) #s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (neg.f64 x) y x) y)))
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 y y y) x))
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))

soundness1.1s (17.3%)

Memory
18.0MiB live, 688.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046121
1135113
2276105
3103499
4423899
5612399
6725999
7794199
0818897
02292
03787
115287
2113487
0890287
0613
0913
13513
220313
3189513
0846413
0114464
1376393
2875387
32971387
47861387
08267381
01030
01330
15330
232330
3347030
01190427
021105
029103
1110103
2702103
37993103
08478103
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 226 to 114 computations (49.6% saved)

preprocess88.0ms (1.4%)

Memory
-20.5MiB live, 137.1MiB allocated
Remove

(negabs x)

Compiler

Compiled 388 to 168 computations (56.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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