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

Time bar (total: 3.4s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze10.0ms (0.3%)

Memory
-3.7MiB live, 4.1MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample476.0ms (14%)

Memory
11.3MiB live, 178.8MiB allocated
Samples
288.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 154.0ms
ival-mult: 60.0ms (38.9% of total)
ival-div: 47.0ms (30.5% of total)
ival-add: 36.0ms (23.3% of total)
ival-true: 5.0ms (3.2% of total)
exact: 4.0ms (2.6% of total)
ival-assert: 3.0ms (1.9% of total)
Bogosity

explain48.0ms (1.4%)

Memory
-11.2MiB live, 30.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
340-0-(/.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/n340
↳(*.f64 x y)overflow34
Confusion
Predicted +Predicted -
+340
-0222
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+3400
-00222
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0222
134
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Total Time
11.924560546875
Average Time
0.04658031463623047
Samples
20.0ms512×0valid
Compiler

Compiled 59 to 28 computations (52.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 3.0ms (31.7% of total)
ival-add: 3.0ms (31.7% of total)
ival-mult: 3.0ms (31.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess47.0ms (1.4%)

Memory
-2.3MiB live, 6.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01643
15037
214535
344335
4119035
5166735
6188235
7193835
8196635
9197035
067
097
1157
2187
3197
0197
Stop Event
1×iter limit
1×saturated
1×iter limit
1×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
0.0MiB live, 0.0MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶87.4%
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0.1%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×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)

localize14.0ms (0.4%)

Memory
6.4MiB live, 6.4MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 y #s(literal 1 binary64))
accuracy0
(*.f64 x y)
accuracy8.075845203912538
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
Samples
10.0ms256×0valid
Compiler

Compiled 34 to 14 computations (58.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 2.0ms (43.8% of total)
ival-div: 1.0ms (21.9% of total)
ival-add: 1.0ms (21.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.2%)

Memory
-5.5MiB live, 2.3MiB 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
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
@0
((/ (* x y) (+ y 1)) (* x y) (+ y 1))
1.0ms
y
@inf
((/ (* x y) (+ y 1)) (* x y) (+ y 1))

simplify123.0ms (3.6%)

Memory
0.8MiB live, 24.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046121
1135113
2274105
3100899
4408099
5596399
6710799
7778899
0803597
Stop Event
1×iter limit
1×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 (-.f64 x (*.f64 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 x (*.f64 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))

rewrite120.0ms (3.5%)

Memory
2.5MiB live, 47.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
0913
13513
220313
3189113
0839613
Stop Event
1×iter limit
1×node limit
1×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))

eval43.0ms (1.3%)

Memory
2.8MiB live, 29.3MiB allocated
Compiler

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

prune6.0ms (0.2%)

Memory
-0.7MiB live, 13.9MiB allocated
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New3415346
Fresh000
Picked101
Done000
Total3425347
Accuracy
100.0%
Counts
347 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶70.0%
(*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
▶100.0%
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
▶50.6%
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
▶49.9%
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (-.f64 x (*.f64 y x)) y)))
▶49.8%
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y))
Compiler

Compiled 134 to 94 computations (29.9% saved)

simplify128.0ms (3.8%)

Memory
-4.9MiB live, 36.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
cost-diff0
(fma.f64 y y #s(literal -1 binary64))
cost-diff0
(/.f64 y (fma.f64 y y #s(literal -1 binary64)))
cost-diff704
(*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
cost-diff0
(-.f64 x (*.f64 y x))
cost-diff0
(*.f64 (-.f64 x (*.f64 y x)) y)
cost-diff0
(fma.f64 y y #s(literal 1 binary64))
cost-diff0
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (-.f64 x (*.f64 y x)) 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
(*.f64 y x)
cost-diff0
(-.f64 x (*.f64 y x))
cost-diff0
(*.f64 (-.f64 x (*.f64 y x)) y)
cost-diff0
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y))
cost-diff0
(+.f64 #s(literal 1 binary64) y)
cost-diff0
(/.f64 y (+.f64 #s(literal 1 binary64) y))
cost-diff0
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
025161
041156
170156
2152156
3472154
41324154
53968154
08178154
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(/.f64 y (+.f64 #s(literal 1 binary64) y))
y
(+.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
x
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y))
(*.f64 (-.f64 x (*.f64 y x)) y)
(-.f64 x (*.f64 y x))
x
(*.f64 y x)
y
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
(-.f64 x (/.f64 x y))
x
(/.f64 x y)
y
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (-.f64 x (*.f64 y x)) y)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (-.f64 x (*.f64 y x)) y))
(fma.f64 y y #s(literal 1 binary64))
y
#s(literal 1 binary64)
(*.f64 (-.f64 x (*.f64 y x)) y)
(-.f64 x (*.f64 y x))
x
(*.f64 y x)
(*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
(/.f64 y (fma.f64 y y #s(literal -1 binary64)))
y
(fma.f64 y y #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(-.f64 y #s(literal 1 binary64))
#s(literal 1 binary64)
x
Outputs
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(*.f64 x (/.f64 y (-.f64 y #s(literal -1 binary64))))
(/.f64 y (+.f64 #s(literal 1 binary64) y))
(/.f64 y (-.f64 y #s(literal -1 binary64)))
y
(+.f64 #s(literal 1 binary64) y)
(-.f64 y #s(literal -1 binary64))
#s(literal 1 binary64)
x
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y))
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 x y)) y))
(*.f64 (-.f64 x (*.f64 y x)) y)
(*.f64 (-.f64 x (*.f64 x y)) y)
(-.f64 x (*.f64 y x))
(-.f64 x (*.f64 x y))
x
(*.f64 y x)
(*.f64 x y)
y
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
(-.f64 x (/.f64 x y))
x
(/.f64 x y)
y
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (-.f64 x (*.f64 y x)) y)))
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) (-.f64 #s(literal 1 binary64) y)) x))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (-.f64 x (*.f64 y x)) y))
(*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) (-.f64 #s(literal 1 binary64) y)) x)
(fma.f64 y y #s(literal 1 binary64))
y
#s(literal 1 binary64)
(*.f64 (-.f64 x (*.f64 y x)) y)
(*.f64 (-.f64 x (*.f64 x y)) y)
(-.f64 x (*.f64 y x))
(-.f64 x (*.f64 x y))
x
(*.f64 y x)
(*.f64 x y)
(*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
(*.f64 x (/.f64 y (-.f64 y #s(literal -1 binary64))))
(/.f64 y (fma.f64 y y #s(literal -1 binary64)))
y
(fma.f64 y y #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(-.f64 y #s(literal 1 binary64))
#s(literal 1 binary64)
x

localize52.0ms (1.5%)

Memory
2.2MiB live, 24.6MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 y #s(literal 1 binary64))
accuracy0.01171875
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
accuracy8.103188953912538
(*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
accuracy17.126798279728803
(/.f64 y (fma.f64 y y #s(literal -1 binary64)))
accuracy0.01171875
(-.f64 x (*.f64 y x))
accuracy0.0625
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (-.f64 x (*.f64 y x)) y))
accuracy0.06640625
(*.f64 (-.f64 x (*.f64 y x)) y)
accuracy32.07439039700851
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (-.f64 x (*.f64 y x)) y)))
accuracy0
(/.f64 x y)
accuracy0.01171875
(-.f64 x (/.f64 x y))
accuracy31.59438934095553
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
accuracy0
(*.f64 y x)
accuracy0.01171875
(-.f64 x (*.f64 y x))
accuracy0.06640625
(*.f64 (-.f64 x (*.f64 y x)) y)
accuracy32.119460542732895
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y))
accuracy0
(+.f64 #s(literal 1 binary64) y)
accuracy0.0078125
(/.f64 y (+.f64 #s(literal 1 binary64) y))
accuracy0.0078125
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
Samples
38.0ms256×0valid
Compiler

Compiled 302 to 51 computations (83.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 10.0ms (40.5% of total)
ival-div: 6.0ms (24.3% of total)
ival-add: 4.0ms (16.2% of total)
ival-sub: 3.0ms (12.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series18.0ms (0.5%)

Memory
0.6MiB live, 9.4MiB allocated
Counts
18 → 77
Calls
Call 1
Inputs
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(/.f64 y (+.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) y)
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y))
(*.f64 (-.f64 x (*.f64 y x)) y)
(-.f64 x (*.f64 y x))
(*.f64 y x)
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
(-.f64 x (/.f64 x y))
(/.f64 x y)
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (-.f64 x (*.f64 y x)) y)))
(fma.f64 y y #s(literal 1 binary64))
(*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
(/.f64 y (fma.f64 y y #s(literal -1 binary64)))
(fma.f64 y y #s(literal -1 binary64))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (-.f64 x (*.f64 y x)) y))
(-.f64 y #s(literal 1 binary64))
Outputs
(/ (* x y) (+ 1 y))
(* x (* y (- 1 y)))
(* x (- 1 y))
(* x y)
(* x (- 1 (/ 1 y)))
(/ x y)
(/ (* x (* y (- y 1))) (- (pow y 2) 1))
(* x (- y 1))
(* x (* y (* (+ 1 (pow y 2)) (- 1 y))))
(* x (* y (+ 1 (* -1 y))))
(* x (+ 1 (* -1 y)))
(* -1 (* x (- (/ 1 y) 1)))
(* x (* y (* (+ 1 (* -1 y)) (+ 1 (pow y 2)))))
(* 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)))
(* y (+ 1 (* y (- y 1))))
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))
1
(+ 1 y)
x
(+ x (* -1 (* x y)))
(* -1 (/ x y))
(/ (- (* x y) x) y)
(+ 1 (pow y 2))
(* y (+ x (* y (+ (* -1 x) (* x y)))))
(* y (+ x (* y (+ (* -1 x) (* y (- (* -1 (* x y)) (* -1 x)))))))
(* -1 y)
(* y (- (* -1 (pow y 2)) 1))
(* y (- (* (pow y 2) (- (* -1 (pow y 2)) 1)) 1))
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* -1 (pow y 2)) 1)) 1)) 1))
-1
(- (pow y 2) 1)
(* -1 x)
(+ (* -1 x) (* x y))
(* y (+ x (* y (+ (* -1 x) (* y (+ x (* -1 (* x y))))))))
(- 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 (/ 1 y))
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y))
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))
(* y (+ 1 (/ 1 y)))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* -1 (* x y))
(* y (- (/ x y) x))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(+ x (+ (* -1 (/ x y)) (/ x (pow y 2))))
(- (+ x (+ (* -1 (/ x y)) (* -1 (/ x (pow y 3))))) (* -1 (/ x (pow y 2))))
(/ 1 y)
(/ (+ 1 (/ 1 (pow y 2))) y)
(/ (+ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow y 4)))) y)
(/ (+ 1 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow y 4)) (/ 1 (pow y 6))))) y)
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(* y (+ x (* -1 (/ x y))))
(* -1 (* x (pow y 4)))
(* (pow y 4) (+ (* -1 x) (/ x y)))
(* (pow y 4) (+ (* -1 x) (+ (* -1 (/ x (pow y 2))) (/ x y))))
(* (pow y 4) (+ (* -1 x) (+ (* -1 (/ x (pow y 2))) (+ (/ x y) (/ x (pow y 3))))))
(* y (- 1 (/ 1 y)))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y)))
(* -1 (* y (- (* -1 (/ x y)) (* -1 x))))
(+ x (* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x y)) (* -1 x)) y))) y)))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 2))) 1) y))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 4))) (+ 1 (/ 1 (pow y 2)))) y))
(* -1 (* y (+ (* -1 x) (/ x y))))
(* (pow y 4) (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x y)) y))))
(* (pow y 4) (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x y)) y))) y))))
(* -1 (* y (- (/ 1 y) 1)))
Calls

6 calls:

TimeVariablePointExpression
4.0ms
x
@inf
((* (/ y (+ 1 y)) x) (/ y (+ 1 y)) (+ 1 y) (/ (* x y) (+ y 1)) (* (- x (* y x)) y) (- x (* y x)) (* y x) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ x y) (/ (* x y) (+ y 1)) (+ (* y y) 1) (* (/ y (+ (* y y) -1)) (* (- y 1) x)) (/ y (+ (* y y) -1)) (+ (* y y) -1) (* (- y 1) x) (* (+ (* y y) 1) (* (- x (* y x)) y)) (- y 1))
4.0ms
x
@-inf
((* (/ y (+ 1 y)) x) (/ y (+ 1 y)) (+ 1 y) (/ (* x y) (+ y 1)) (* (- x (* y x)) y) (- x (* y x)) (* y x) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ x y) (/ (* x y) (+ y 1)) (+ (* y y) 1) (* (/ y (+ (* y y) -1)) (* (- y 1) x)) (/ y (+ (* y y) -1)) (+ (* y y) -1) (* (- y 1) x) (* (+ (* y y) 1) (* (- x (* y x)) y)) (- y 1))
3.0ms
x
@0
((* (/ y (+ 1 y)) x) (/ y (+ 1 y)) (+ 1 y) (/ (* x y) (+ y 1)) (* (- x (* y x)) y) (- x (* y x)) (* y x) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ x y) (/ (* x y) (+ y 1)) (+ (* y y) 1) (* (/ y (+ (* y y) -1)) (* (- y 1) x)) (/ y (+ (* y y) -1)) (+ (* y y) -1) (* (- y 1) x) (* (+ (* y y) 1) (* (- x (* y x)) y)) (- y 1))
3.0ms
y
@inf
((* (/ y (+ 1 y)) x) (/ y (+ 1 y)) (+ 1 y) (/ (* x y) (+ y 1)) (* (- x (* y x)) y) (- x (* y x)) (* y x) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ x y) (/ (* x y) (+ y 1)) (+ (* y y) 1) (* (/ y (+ (* y y) -1)) (* (- y 1) x)) (/ y (+ (* y y) -1)) (+ (* y y) -1) (* (- y 1) x) (* (+ (* y y) 1) (* (- x (* y x)) y)) (- y 1))
2.0ms
y
@-inf
((* (/ y (+ 1 y)) x) (/ y (+ 1 y)) (+ 1 y) (/ (* x y) (+ y 1)) (* (- x (* y x)) y) (- x (* y x)) (* y x) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ x y) (/ (* x y) (+ y 1)) (+ (* y y) 1) (* (/ y (+ (* y y) -1)) (* (- y 1) x)) (/ y (+ (* y y) -1)) (+ (* y y) -1) (* (- y 1) x) (* (+ (* y y) 1) (* (- x (* y x)) y)) (- y 1))

simplify126.0ms (3.7%)

Memory
0.3MiB live, 33.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0183688
1581636
21432596
34844593
08439586
Stop Event
1×iter limit
1×node limit
Counts
77 → 75
Calls
Call 1
Inputs
(/ (* x y) (+ 1 y))
(* x (* y (- 1 y)))
(* x (- 1 y))
(* x y)
(* x (- 1 (/ 1 y)))
(/ x y)
(/ (* x (* y (- y 1))) (- (pow y 2) 1))
(* x (- y 1))
(* x (* y (* (+ 1 (pow y 2)) (- 1 y))))
(* x (* y (+ 1 (* -1 y))))
(* x (+ 1 (* -1 y)))
(* -1 (* x (- (/ 1 y) 1)))
(* x (* y (* (+ 1 (* -1 y)) (+ 1 (pow y 2)))))
(* 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)))
(* y (+ 1 (* y (- y 1))))
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))
1
(+ 1 y)
x
(+ x (* -1 (* x y)))
(* -1 (/ x y))
(/ (- (* x y) x) y)
(+ 1 (pow y 2))
(* y (+ x (* y (+ (* -1 x) (* x y)))))
(* y (+ x (* y (+ (* -1 x) (* y (- (* -1 (* x y)) (* -1 x)))))))
(* -1 y)
(* y (- (* -1 (pow y 2)) 1))
(* y (- (* (pow y 2) (- (* -1 (pow y 2)) 1)) 1))
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* -1 (pow y 2)) 1)) 1)) 1))
-1
(- (pow y 2) 1)
(* -1 x)
(+ (* -1 x) (* x y))
(* y (+ x (* y (+ (* -1 x) (* y (+ x (* -1 (* x y))))))))
(- 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 (/ 1 y))
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y))
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))
(* y (+ 1 (/ 1 y)))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* -1 (* x y))
(* y (- (/ x y) x))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(+ x (+ (* -1 (/ x y)) (/ x (pow y 2))))
(- (+ x (+ (* -1 (/ x y)) (* -1 (/ x (pow y 3))))) (* -1 (/ x (pow y 2))))
(/ 1 y)
(/ (+ 1 (/ 1 (pow y 2))) y)
(/ (+ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow y 4)))) y)
(/ (+ 1 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow y 4)) (/ 1 (pow y 6))))) y)
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(* y (+ x (* -1 (/ x y))))
(* -1 (* x (pow y 4)))
(* (pow y 4) (+ (* -1 x) (/ x y)))
(* (pow y 4) (+ (* -1 x) (+ (* -1 (/ x (pow y 2))) (/ x y))))
(* (pow y 4) (+ (* -1 x) (+ (* -1 (/ x (pow y 2))) (+ (/ x y) (/ x (pow y 3))))))
(* y (- 1 (/ 1 y)))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y)))
(* -1 (* y (- (* -1 (/ x y)) (* -1 x))))
(+ x (* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x y)) (* -1 x)) y))) y)))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 2))) 1) y))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 4))) (+ 1 (/ 1 (pow y 2)))) y))
(* -1 (* y (+ (* -1 x) (/ x y))))
(* (pow y 4) (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x y)) y))))
(* (pow y 4) (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x y)) y))) y))))
(* -1 (* y (- (/ 1 y) 1)))
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 (- 1 y))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(* x y)
(*.f64 x y)
(* x (- 1 (/ 1 y)))
(-.f64 x (/.f64 x y))
(/ x y)
(/.f64 x y)
(/ (* x (* y (- y 1))) (- (pow y 2) 1))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(* x (- y 1))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(* x (* y (* (+ 1 (pow y 2)) (- 1 y))))
(*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) x) (-.f64 #s(literal 1 binary64) y))
(* 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 (- (/ 1 y) 1)))
(-.f64 x (/.f64 x y))
(* x (* y (* (+ 1 (* -1 y)) (+ 1 (pow y 2)))))
(*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) x) (-.f64 #s(literal 1 binary64) 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 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) x) (-.f64 #s(literal 1 binary64) y))
y
(* y (+ 1 (* -1 y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(* y (+ 1 (* y (- y 1))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) (-.f64 #s(literal 1 binary64) y))
1
#s(literal 1 binary64)
(+ 1 y)
(+.f64 #s(literal 1 binary64) 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))
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(* 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 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) x) (-.f64 #s(literal 1 binary64) y))
(* -1 y)
(neg.f64 y)
(* y (- (* -1 (pow y 2)) 1))
(neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y))
(* y (- (* (pow y 2) (- (* -1 (pow y 2)) 1)) 1))
(-.f64 (-.f64 (neg.f64 (pow.f64 y #s(literal 5 binary64))) (pow.f64 y #s(literal 3 binary64))) y)
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* -1 (pow y 2)) 1)) 1)) 1))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) (neg.f64 y) #s(literal -1 binary64)) (neg.f64 y))
-1
#s(literal -1 binary64)
(- (pow y 2) 1)
(fma.f64 y y #s(literal -1 binary64))
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (* x y))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(* y (+ x (* y (+ (* -1 x) (* y (+ x (* -1 (* x y))))))))
(*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) y) x) (-.f64 #s(literal 1 binary64) y))
(- 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 (/ 1 y))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y))
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))
(-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y) y) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(* y (+ 1 (/ 1 y)))
(+.f64 #s(literal 1 binary64) 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 (* x y))
(*.f64 (neg.f64 y) x)
(* y (- (/ x y) x))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(+ 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)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (+ 1 (/ 1 (pow y 2))) y)
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal -1 binary64)) y)
(/ (+ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow y 4)))) y)
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) y)
(/ (+ 1 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow y 4)) (/ 1 (pow y 6))))) y)
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) y))) y)
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal -1 binary64))
(* y (+ x (* -1 (/ x y))))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(* -1 (* x (pow y 4)))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (neg.f64 x))
(* (pow y 4) (+ (* -1 x) (/ x y)))
(*.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (/.f64 x y) x))
(* (pow y 4) (+ (* -1 x) (+ (* -1 (/ x (pow y 2))) (/ x y))))
(*.f64 (-.f64 (/.f64 (-.f64 x (/.f64 x y)) y) x) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (+ (* -1 x) (+ (* -1 (/ x (pow y 2))) (+ (/ x y) (/ x (pow y 3))))))
(*.f64 (-.f64 (/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y)) y) x) (pow.f64 y #s(literal 4 binary64)))
(* 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 (* -1 (/ (- 1 (/ 1 y)) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) y))
(* -1 (* y (- (* -1 (/ x y)) (* -1 x))))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ 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 (/ (- (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 2))) 1) y))
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal -1 binary64)) y) y) #s(literal -1 binary64)) y)
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 4))) (+ 1 (/ 1 (pow y 2)))) y))
(-.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal -1 binary64)) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) y))
(* -1 (* y (+ (* -1 x) (/ x y))))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(* (pow y 4) (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x y)) y))))
(*.f64 (-.f64 (/.f64 (-.f64 x (/.f64 x y)) y) x) (pow.f64 y #s(literal 4 binary64)))
(* (pow y 4) (+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 x) (/ x y)) y))) y))))
(*.f64 (-.f64 (/.f64 (-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y)) y) x) (pow.f64 y #s(literal 4 binary64)))
(* -1 (* y (- (/ 1 y) 1)))
(-.f64 y #s(literal 1 binary64))

rewrite148.0ms (4.3%)

Memory
3.3MiB live, 66.0MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
025132
041127
1168127
21251125
09129125
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
18 → 1 327
Calls
Call 1
Inputs
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(/.f64 y (+.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) y)
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y))
(*.f64 (-.f64 x (*.f64 y x)) y)
(-.f64 x (*.f64 y x))
(*.f64 y x)
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
(-.f64 x (/.f64 x y))
(/.f64 x y)
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (-.f64 x (*.f64 y x)) y)))
(fma.f64 y y #s(literal 1 binary64))
(*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
(/.f64 y (fma.f64 y y #s(literal -1 binary64)))
(fma.f64 y y #s(literal -1 binary64))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (-.f64 x (*.f64 y x)) y))
(-.f64 y #s(literal 1 binary64))
Outputs
(*.f64 (pow.f64 (/.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) x) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) x) y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) (-.f64 #s(literal -1 binary64) y)) (/.f64 (neg.f64 y) (-.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal -1 binary64)) (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 y (-.f64 y #s(literal 1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 x (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 y (-.f64 y #s(literal 1 binary64))) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 x (pow.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 y (-.f64 y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) (/.f64 x (-.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) y))
(*.f64 (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 y (pow.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 x y) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 y #s(literal 1 binary64)) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 x y) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 y #s(literal 1 binary64)) (pow.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 x y) (-.f64 y #s(literal 1 binary64))) (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 y (-.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 y (-.f64 y #s(literal 1 binary64))) (-.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 x y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (pow.f64 (fma.f64 y y (-.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) (-.f64 y #s(literal -1 binary64))) (/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) (-.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) y)))
(*.f64 (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) (-.f64 y #s(literal -1 binary64))) (/.f64 y (-.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 x y) #s(literal 1 binary64)) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 x (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 y (fma.f64 y y (-.f64 y #s(literal -1 binary64)))))
(*.f64 (/.f64 x (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) y) #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 (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y (-.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 y (-.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 y (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 x (fma.f64 y y (-.f64 y #s(literal -1 binary64)))))
(*.f64 (/.f64 y (-.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) (-.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 x) (-.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal -1 binary64))) (/.f64 x (/.f64 (-.f64 y #s(literal 1 binary64)) y)))
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (/.f64 (-.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (*.f64 y (-.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64))) y)
(*.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (/.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 (-.f64 y #s(literal 1 binary64)) y)))
(*.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) y)
(*.f64 (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))))
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(*.f64 (/.f64 y (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))))
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(*.f64 (/.f64 (*.f64 (*.f64 y (-.f64 y #s(literal 1 binary64))) x) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64)))
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(*.f64 (/.f64 (*.f64 x y) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
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(*.f64 (*.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) x)) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))
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(*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) (-.f64 y #s(literal 1 binary64))) (/.f64 y (-.f64 y #s(literal -1 binary64))))
(*.f64 (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))))
(*.f64 (*.f64 (*.f64 y (-.f64 y #s(literal 1 binary64))) x) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (neg.f64 y) x) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) (/.f64 (-.f64 y #s(literal 1 binary64)) y)))
(*.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (pow.f64 y #s(literal -1 binary64))))
(*.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 x y))
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) (/.f64 y (fma.f64 y y #s(literal -1 binary64))))
(*.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))))
(*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) (-.f64 #s(literal -1 binary64) y)))
(*.f64 (*.f64 x y) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) y) (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))))
(*.f64 (*.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) y) #s(literal 1 binary64))
(*.f64 x (/.f64 y (-.f64 y #s(literal -1 binary64))))
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(fma.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (/.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 (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))))
(fma.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 y y) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64))))
(fma.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (/.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 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (/.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 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 y y) #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) y)))
(fma.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 y 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 (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))))
(fma.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 y y) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64))))
(fma.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 y y) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 y y) #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 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) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #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 (-.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)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #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)) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(fma.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (*.f64 y (-.f64 y #s(literal 1 binary64))) (*.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) y)))
(fma.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (*.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 (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))))
(fma.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (*.f64 y (-.f64 y #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64))))
(fma.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (*.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 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (*.f64 y (-.f64 y #s(literal 1 binary64))) (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 (-.f64 y #s(literal -1 binary64))) y (*.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) y)))
(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 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))))
(fma.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) y (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (-.f64 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) (/.f64 (*.f64 y y) (-.f64 y #s(literal -1 binary64))) (*.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) y)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 y 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 (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (-.f64 y #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 y 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 #s(literal 1 binary64) (/.f64 (*.f64 y y) (-.f64 y #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal -1 binary64) y) #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 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #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 (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))))
(fma.f64 y (/.f64 y (-.f64 y #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #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))) (pow.f64 (-.f64 #s(literal -1 binary64) y) #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 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) y))
(-.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 y) (-.f64 y #s(literal -1 binary64))) (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 (/.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 y (-.f64 y #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))) #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 y (-.f64 y #s(literal 1 binary64)))))
(+.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal -1 binary64))) (*.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 (*.f64 y 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 (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64))))
(+.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal -1 binary64) y) #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))

eval138.0ms (4.1%)

Memory
7.6MiB live, 116.4MiB allocated
Compiler

Compiled 35 466 to 4 254 computations (88% saved)

prune24.0ms (0.7%)

Memory
3.8MiB live, 52.7MiB allocated
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New1 36351 368
Fresh000
Picked145
Done000
Total1 36491 373
Accuracy
100.0%
Counts
1 373 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓70.0%
(*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
✓100.0%
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
▶49.8%
(*.f64 #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) x)
✓50.6%
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
▶49.8%
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (neg.f64 y) x x) y))
✓49.9%
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (-.f64 x (*.f64 y x)) y)))
▶13.8%
#s(approx (/ (* x y) (+ y 1)) (*.f64 #s(approx (- x (* y x)) (*.f64 (neg.f64 y) x)) y))
▶3.0%
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)))
▶13.7%
#s(approx (/ (* x y) (+ y 1)) #s(approx (* (- x (* y x)) y) (*.f64 (*.f64 (neg.f64 y) y) x)))
Compiler

Compiled 228 to 155 computations (32% saved)

simplify67.0ms (2%)

Memory
-3.5MiB live, 4.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
033202
045202
177202
2128202
3198202
4333202
5635202
6910202
71232202
81579202
91807202
101993202
112005202
122013202
132018202
142019202
02019202
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (neg.f64 y) x x) y))
(*.f64 (fma.f64 (neg.f64 y) x x) y)
(fma.f64 (neg.f64 y) x x)
(neg.f64 y)
y
x
#s(approx (/ (* x y) (+ y 1)) #s(approx (* (- x (* y x)) y) (*.f64 (*.f64 (neg.f64 y) y) x)))
#s(approx (* (- x (* y x)) y) (*.f64 (*.f64 (neg.f64 y) y) x))
(*.f64 (*.f64 (neg.f64 y) y) x)
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
x
#s(approx (/ (* x y) (+ y 1)) (*.f64 #s(approx (- x (* y x)) (*.f64 (neg.f64 y) x)) y))
(*.f64 #s(approx (- x (* y x)) (*.f64 (neg.f64 y) x)) y)
#s(approx (- x (* y x)) (*.f64 (neg.f64 y) x))
(*.f64 (neg.f64 y) x)
(neg.f64 y)
y
x
#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
(*.f64 #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) x)
#s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y))
(*.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 (fma.f64 (neg.f64 y) x x) y))
(*.f64 (fma.f64 (neg.f64 y) x x) y)
(fma.f64 (neg.f64 y) x x)
(neg.f64 y)
y
x
#s(approx (/ (* x y) (+ y 1)) #s(approx (* (- x (* y x)) y) (*.f64 (*.f64 (neg.f64 y) y) x)))
#s(approx (/ (* x y) (+ y 1)) #s(approx (* (- x (* y x)) y) (*.f64 (*.f64 (neg.f64 y) x) y)))
#s(approx (* (- x (* y x)) y) (*.f64 (*.f64 (neg.f64 y) y) x))
#s(approx (* (- x (* y x)) y) (*.f64 (*.f64 (neg.f64 y) x) y))
(*.f64 (*.f64 (neg.f64 y) y) x)
(*.f64 (*.f64 (neg.f64 y) x) y)
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
x
#s(approx (/ (* x y) (+ y 1)) (*.f64 #s(approx (- x (* y x)) (*.f64 (neg.f64 y) x)) y))
(*.f64 #s(approx (- x (* y x)) (*.f64 (neg.f64 y) x)) y)
#s(approx (- x (* y x)) (*.f64 (neg.f64 y) x))
(*.f64 (neg.f64 y) x)
(neg.f64 y)
y
x
#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
(*.f64 #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) x)
#s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y))
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x

localize57.0ms (1.7%)

Memory
-7.6MiB live, 25.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 #s(literal 1 binary64) y)
accuracy0.0078125
(*.f64 #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) x)
accuracy0.015625
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
accuracy32.19015290729496
#s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y))
accuracy0
(/.f64 (neg.f64 x) y)
accuracy0
(neg.f64 x)
accuracy31.376078268514785
#s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))
accuracy31.59438934095553
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)))
accuracy0
(neg.f64 y)
accuracy0.06640625
(*.f64 #s(approx (- x (* y x)) (*.f64 (neg.f64 y) x)) y)
accuracy31.134888647696513
#s(approx (- x (* y x)) (*.f64 (neg.f64 y) x))
accuracy32.119460542732895
#s(approx (/ (* x y) (+ y 1)) (*.f64 #s(approx (- x (* y x)) (*.f64 (neg.f64 y) x)) y))
accuracy0
(neg.f64 y)
accuracy8.839586066541383
(*.f64 (*.f64 (neg.f64 y) y) x)
accuracy23.983707817670638
#s(approx (* (- x (* y x)) y) (*.f64 (*.f64 (neg.f64 y) y) x))
accuracy32.119460542732895
#s(approx (/ (* x y) (+ y 1)) #s(approx (* (- x (* y x)) y) (*.f64 (*.f64 (neg.f64 y) y) x)))
accuracy0
(fma.f64 (neg.f64 y) x x)
accuracy0
(neg.f64 y)
accuracy0.06640625
(*.f64 (fma.f64 (neg.f64 y) x x) y)
accuracy32.119460542732895
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (neg.f64 y) x x) y))
Samples
42.0ms256×0valid
Compiler

Compiled 327 to 60 computations (81.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-mult: 13.0ms (43.5% of total)
ival-div: 6.0ms (20.1% of total)
ival-neg: 4.0ms (13.4% of total)
ival-sub: 3.0ms (10% of total)
ival-add: 3.0ms (10% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series15.0ms (0.4%)

Memory
1.3MiB live, 8.7MiB allocated
Counts
20 → 46
Calls
Call 1
Inputs
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (neg.f64 y) x x) y))
(*.f64 (fma.f64 (neg.f64 y) x x) y)
(fma.f64 (neg.f64 y) x x)
(neg.f64 y)
#s(approx (/ (* x y) (+ y 1)) #s(approx (* (- x (* y x)) y) (*.f64 (*.f64 (neg.f64 y) y) x)))
#s(approx (* (- x (* y x)) y) (*.f64 (*.f64 (neg.f64 y) y) x))
(*.f64 (*.f64 (neg.f64 y) y) x)
(*.f64 (neg.f64 y) y)
#s(approx (/ (* x y) (+ y 1)) (*.f64 #s(approx (- x (* y x)) (*.f64 (neg.f64 y) x)) y))
(*.f64 #s(approx (- x (* y x)) (*.f64 (neg.f64 y) x)) y)
#s(approx (- x (* y x)) (*.f64 (neg.f64 y) x))
(*.f64 (neg.f64 y) x)
#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)
(*.f64 #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) x)
#s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y))
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(-.f64 #s(literal 1 binary64) y)
Outputs
(/ (* x y) (+ 1 y))
(* x (* y (+ 1 (* -1 y))))
(* x (+ 1 (* -1 y)))
(* x (* y (- 1 y)))
(* -1 (* x (pow y 2)))
(* x (- 1 y))
(* -1 (* x y))
(* x (- 1 (/ 1 y)))
(* -1 (/ x y))
(* -1 x)
(* -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 y)
(* -1 (pow y 2))
(/ (- (* x y) x) y)
y
(* y (+ 1 (* -1 y)))
(* y (+ 1 (* y (- y 1))))
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))
1
(+ 1 (* -1 y))
(+ x (* -1 (/ x y)))
(- (+ x (/ x (pow y 2))) (/ x y))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* y (+ (* -1 x) (/ x y)))
(* y (- (/ x y) x))
(- 1 (/ 1 y))
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y))
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))
(* (pow y 2) (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 x))))
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y)))
(* -1 (* y (- 1 (/ 1 y))))
Calls

6 calls:

TimeVariablePointExpression
4.0ms
x
@0
((/ (* x y) (+ y 1)) (* (+ (* (neg y) x) x) y) (+ (* (neg y) x) x) (neg y) (/ (* x y) (+ y 1)) (* (- x (* y x)) y) (* (* (neg y) y) x) (* (neg y) y) (/ (* x y) (+ y 1)) (* (- x (* y x)) y) (- x (* y x)) (* (neg y) x) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ (neg x) y) (neg x) (* (/ y (+ 1 y)) x) (/ y (+ 1 y)) (* (- 1 y) y) (- 1 y))
3.0ms
x
@-inf
((/ (* x y) (+ y 1)) (* (+ (* (neg y) x) x) y) (+ (* (neg y) x) x) (neg y) (/ (* x y) (+ y 1)) (* (- x (* y x)) y) (* (* (neg y) y) x) (* (neg y) y) (/ (* x y) (+ y 1)) (* (- x (* y x)) y) (- x (* y x)) (* (neg y) x) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ (neg x) y) (neg x) (* (/ y (+ 1 y)) x) (/ y (+ 1 y)) (* (- 1 y) y) (- 1 y))
2.0ms
x
@inf
((/ (* x y) (+ y 1)) (* (+ (* (neg y) x) x) y) (+ (* (neg y) x) x) (neg y) (/ (* x y) (+ y 1)) (* (- x (* y x)) y) (* (* (neg y) y) x) (* (neg y) y) (/ (* x y) (+ y 1)) (* (- x (* y x)) y) (- x (* y x)) (* (neg y) x) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ (neg x) y) (neg x) (* (/ y (+ 1 y)) x) (/ y (+ 1 y)) (* (- 1 y) y) (- 1 y))
2.0ms
y
@inf
((/ (* x y) (+ y 1)) (* (+ (* (neg y) x) x) y) (+ (* (neg y) x) x) (neg y) (/ (* x y) (+ y 1)) (* (- x (* y x)) y) (* (* (neg y) y) x) (* (neg y) y) (/ (* x y) (+ y 1)) (* (- x (* y x)) y) (- x (* y x)) (* (neg y) x) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ (neg x) y) (neg x) (* (/ y (+ 1 y)) x) (/ y (+ 1 y)) (* (- 1 y) y) (- 1 y))
2.0ms
y
@-inf
((/ (* x y) (+ y 1)) (* (+ (* (neg y) x) x) y) (+ (* (neg y) x) x) (neg y) (/ (* x y) (+ y 1)) (* (- x (* y x)) y) (* (* (neg y) y) x) (* (neg y) y) (/ (* x y) (+ y 1)) (* (- x (* y x)) y) (- x (* y x)) (* (neg y) x) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ (neg x) y) (neg x) (* (/ y (+ 1 y)) x) (/ y (+ 1 y)) (* (- 1 y) y) (- 1 y))

simplify127.0ms (3.7%)

Memory
3.8MiB live, 32.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0100328
1307314
2673298
31965286
45501286
57975286
08033282
Stop Event
1×iter limit
1×node limit
Counts
46 → 44
Calls
Call 1
Inputs
(/ (* x y) (+ 1 y))
(* x (* y (+ 1 (* -1 y))))
(* x (+ 1 (* -1 y)))
(* x (* y (- 1 y)))
(* -1 (* x (pow y 2)))
(* x (- 1 y))
(* -1 (* x y))
(* x (- 1 (/ 1 y)))
(* -1 (/ x y))
(* -1 x)
(* -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 y)
(* -1 (pow y 2))
(/ (- (* x y) x) y)
y
(* y (+ 1 (* -1 y)))
(* y (+ 1 (* y (- y 1))))
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))
1
(+ 1 (* -1 y))
(+ x (* -1 (/ x y)))
(- (+ x (/ x (pow y 2))) (/ x y))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* y (+ (* -1 x) (/ x y)))
(* y (- (/ x y) x))
(- 1 (/ 1 y))
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y))
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))
(* (pow y 2) (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 x))))
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 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 (* -1 y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(* x (+ 1 (* -1 y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(* x (* y (- 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* x (- 1 y))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* x (- 1 (/ 1 y)))
(-.f64 x (/.f64 x y))
(* -1 (/ x y))
(/.f64 x (neg.f64 y))
(* -1 x)
(neg.f64 x)
(* -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 y)
(neg.f64 y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(/ (- (* x y) x) y)
(-.f64 x (/.f64 x y))
y
(* y (+ 1 (* -1 y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(* y (+ 1 (* y (- y 1))))
(*.f64 (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) y)
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) y))
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 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))
(* (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)
(* y (- (/ x y) x))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(- 1 (/ 1 y))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y))
(-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) y) #s(literal -1 binary64))
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) y) #s(literal -1 binary64)) y))
(* (pow y 2) (- (/ 1 y) 1))
(*.f64 (-.f64 #s(literal 1 binary64) y) 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 (+ x (* -1 (/ x y)))))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 (* y (- (* -1 (/ x y)) (* -1 x))))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))
(-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) y) #s(literal -1 binary64))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) y) #s(literal -1 binary64)) y))
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)

rewrite126.0ms (3.7%)

Memory
0.2MiB live, 48.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033187
045187
1163187
21029187
09099187
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 493
Calls
Call 1
Inputs
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (neg.f64 y) x x) y))
(*.f64 (fma.f64 (neg.f64 y) x x) y)
(fma.f64 (neg.f64 y) x x)
(neg.f64 y)
#s(approx (/ (* x y) (+ y 1)) #s(approx (* (- x (* y x)) y) (*.f64 (*.f64 (neg.f64 y) y) x)))
#s(approx (* (- x (* y x)) y) (*.f64 (*.f64 (neg.f64 y) y) x))
(*.f64 (*.f64 (neg.f64 y) y) x)
(*.f64 (neg.f64 y) y)
#s(approx (/ (* x y) (+ y 1)) (*.f64 #s(approx (- x (* y x)) (*.f64 (neg.f64 y) x)) y))
(*.f64 #s(approx (- x (* y x)) (*.f64 (neg.f64 y) x)) y)
#s(approx (- x (* y x)) (*.f64 (neg.f64 y) x))
(*.f64 (neg.f64 y) x)
#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)
(*.f64 #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) x)
#s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y))
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(-.f64 #s(literal 1 binary64) y)
Outputs
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x))
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (*.f64 (fma.f64 (neg.f64 y) x x) #s(literal 1 binary64)) y)
(*.f64 (*.f64 (*.f64 y x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (fma.f64 y y #s(literal -1 binary64)))) (-.f64 y #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 y x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y 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 (*.f64 y x) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 y y) x))) (+.f64 #s(literal 1 binary64) y)) (/.f64 y x))
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) #s(literal 1 binary64))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 y x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (*.f64 y x)))
(*.f64 (*.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 y y) x))) y) (pow.f64 (fma.f64 y x x) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 y x) #s(literal 2 binary64))) y) (/.f64 #s(literal -1 binary64) (fma.f64 y x x)))
(*.f64 (*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) y) (pow.f64 (*.f64 x (fma.f64 (*.f64 y y) x (fma.f64 y x x))) #s(literal -1 binary64)))
(*.f64 (*.f64 y (*.f64 x (-.f64 x (*.f64 (*.f64 y y) x)))) (pow.f64 (fma.f64 y x x) #s(literal -1 binary64)))
(*.f64 (*.f64 y (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 y x x)))
(*.f64 (*.f64 y (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (*.f64 x (fma.f64 (*.f64 y y) x (fma.f64 y x x))) #s(literal -1 binary64)))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 y y) x))) x))
(*.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 y y) x))) (*.f64 (pow.f64 (fma.f64 y x x) #s(literal -1 binary64)) y))
(*.f64 (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y x x)) y))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y))
(*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 y y) x (fma.f64 y x x))) #s(literal -1 binary64)) y))
(*.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)) (*.f64 y x)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y x))
(*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y))
(*.f64 (fma.f64 (neg.f64 y) x x) y)
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x))
(*.f64 y (fma.f64 (neg.f64 y) x x))
(*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) y))
(/.f64 (*.f64 y (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (*.f64 x (fma.f64 (*.f64 y y) x (fma.f64 y x x)))))
(/.f64 (*.f64 (*.f64 y x) (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) y))
(/.f64 (*.f64 (*.f64 y x) (fma.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)))
(/.f64 (*.f64 (*.f64 y x) (+.f64 #s(literal -1 binary64) (*.f64 y y))) (-.f64 #s(literal -1 binary64) y))
(/.f64 (*.f64 (*.f64 y x) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))
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(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal 1 binary64))
(fma.f64 (-.f64 y #s(literal 1 binary64)) (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 #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 (neg.f64 y)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))))
(fma.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (+.f64 #s(literal 1 binary64) y)))))
(fma.f64 (*.f64 y y) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (+.f64 #s(literal 1 binary64) y)))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 y y) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 (neg.f64 y) y) (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 y) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 y y (neg.f64 y)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.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) (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) (neg.f64 y) #s(literal 1 binary64))
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (fma.f64 y y #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (fma.f64 y y #s(literal -1 binary64)))))
(fma.f64 y #s(literal -1 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal -1 binary64) y)) (pow.f64 (-.f64 #s(literal -1 binary64) 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)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) y) 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 y #s(literal 1 binary64)))
(-.f64 (neg.f64 y) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) y)
(+.f64 (*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (fma.f64 y y #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (fma.f64 y y #s(literal -1 binary64)))))
(+.f64 (*.f64 (fma.f64 y y (neg.f64 y)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (fma.f64 y y (neg.f64 y)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))))
(+.f64 (*.f64 (*.f64 y y) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (*.f64 y y) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))))
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (fma.f64 y y #s(literal -1 binary64))) y) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 y y (neg.f64 y))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 y y (neg.f64 y))))
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 y y)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 y y)))
(+.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 (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 0 binary64) (-.f64 #s(literal 1 binary64) y))
(+.f64 (neg.f64 y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 y))

eval83.0ms (2.4%)

Memory
1.0MiB live, 50.3MiB allocated
Compiler

Compiled 14 013 to 2 227 computations (84.1% saved)

prune12.0ms (0.4%)

Memory
-2.1MiB live, 22.6MiB allocated
Pruning

9 alts after pruning (2 fresh and 7 done)

PrunedKeptTotal
New5622564
Fresh000
Picked235
Done044
Total5649573
Accuracy
100.0%
Counts
573 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓70.0%
(*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
✓100.0%
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
✓49.8%
(*.f64 #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) x)
✓50.6%
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
✓49.8%
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (neg.f64 y) x x) y))
✓49.9%
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (-.f64 x (*.f64 y x)) y)))
▶49.8%
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y x)))
▶50.7%
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
✓3.0%
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)))
Compiler

Compiled 124 to 88 computations (29% saved)

simplify46.0ms (1.4%)

Memory
-5.0MiB live, 2.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 6 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01147
01447
12547
24547
38847
416247
526247
639747
762747
880447
995947
10117747
11131947
12132947
13133147
14133447
15133547
0133547
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
(*.f64 y x)
y
x
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y x)))
(*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y x))
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(*.f64 y x)
x
Outputs
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
(*.f64 y x)
y
x
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y x)))
#s(approx (/ (* x y) (+ y 1)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y))
(*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y x))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(*.f64 y x)
x

localize21.0ms (0.6%)

Memory
2.0MiB live, 9.6MiB allocated
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 #s(literal 1 binary64) y)
accuracy0
(*.f64 y x)
accuracy0.08041000976844202
(*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y x))
accuracy32.119460542732895
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y x)))
accuracy0
(*.f64 y x)
accuracy31.560391658625846
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
Samples
15.0ms256×0valid
Compiler

Compiled 84 to 23 computations (72.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 4.0ms (49% of total)
ival-div: 1.0ms (12.2% of total)
ival-sub: 1.0ms (12.2% of total)
ival-add: 1.0ms (12.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
3.1MiB live, 3.1MiB allocated
Counts
5 → 19
Calls
Call 1
Inputs
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
(*.f64 y x)
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y x)))
(*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y x))
(-.f64 #s(literal 1 binary64) y)
Outputs
(/ (* x y) (+ 1 y))
(* x y)
(* x (* y (- 1 y)))
(* y (+ x (* -1 (* x y))))
(* y (+ x (* y (- (* x y) x))))
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
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 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
1.0ms
x
@-inf
((/ (* x y) (+ y 1)) (* y x) (/ (* x y) (+ y 1)) (* (- 1 y) (* y x)) (- 1 y))
1.0ms
x
@inf
((/ (* x y) (+ y 1)) (* y x) (/ (* x y) (+ y 1)) (* (- 1 y) (* y x)) (- 1 y))
1.0ms
x
@0
((/ (* x y) (+ y 1)) (* y x) (/ (* x y) (+ y 1)) (* (- 1 y) (* y x)) (- 1 y))
1.0ms
y
@-inf
((/ (* x y) (+ y 1)) (* y x) (/ (* x y) (+ y 1)) (* (- 1 y) (* y x)) (- 1 y))
0.0ms
y
@inf
((/ (* x y) (+ y 1)) (* y x) (/ (* x y) (+ y 1)) (* (- 1 y) (* y x)) (- 1 y))

simplify121.0ms (3.5%)

Memory
-0.2MiB live, 28.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058144
1166137
2378129
31059123
43834123
56079123
67743123
08283121
Stop Event
1×iter limit
1×node limit
Counts
19 → 18
Calls
Call 1
Inputs
(/ (* x y) (+ 1 y))
(* x y)
(* x (* y (- 1 y)))
(* y (+ x (* -1 (* x y))))
(* y (+ x (* y (- (* x y) x))))
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
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 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)
(*.f64 y x)
(* x (* y (- 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) 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 y #s(literal 1 binary64)) (*.f64 y y) y) x)
(* 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))
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 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)

rewrite159.0ms (4.7%)

Memory
-0.4MiB live, 51.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01139
01439
15639
232939
3345839
01181037
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 305
Calls
Call 1
Inputs
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
(*.f64 y x)
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y x)))
(*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y x))
(-.f64 #s(literal 1 binary64) y)
Outputs
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
(*.f64 (*.f64 #s(literal 1 binary64) x) y)
(*.f64 (*.f64 x #s(literal 1 binary64)) y)
(*.f64 (neg.f64 (neg.f64 x)) y)
(*.f64 (neg.f64 (neg.f64 y)) x)
(*.f64 (neg.f64 x) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) y))
(*.f64 (neg.f64 y) (neg.f64 x))
(*.f64 #s(literal 1 binary64) (*.f64 y x))
(*.f64 (*.f64 y x) #s(literal 1 binary64))
(*.f64 y (*.f64 #s(literal 1 binary64) x))
(*.f64 y (*.f64 x #s(literal 1 binary64)))
(*.f64 y (neg.f64 (neg.f64 x)))
(*.f64 y x)
(*.f64 x (neg.f64 (neg.f64 y)))
(*.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 (fma.f64 y y y) x))
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal 2 binary64)) y) 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 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal 2 binary64)) y) x) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal 2 binary64)) y) x) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) y) (-.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)))
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(fma.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 y y y) (fma.f64 y y (-.f64 #s(literal -1 binary64) y)) #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 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (-.f64 #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 (/.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 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(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 (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 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) (pow.f64 y #s(literal 6 binary64)))) (+.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (-.f64 (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 (+.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 y y (-.f64 #s(literal -1 binary64) 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 (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)) (fma.f64 y y (-.f64 #s(literal -1 binary64) y)) (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 (pow.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (fma.f64 y y y)) (pow.f64 y #s(literal 4 binary64))) #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 (pow.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (fma.f64 y y y)) (pow.f64 y #s(literal 4 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 (/.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 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 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 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 (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 (/.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 (/.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 (-.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 (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))

eval34.0ms (1%)

Memory
-1.1MiB live, 29.2MiB allocated
Compiler

Compiled 8 838 to 1 190 computations (86.5% saved)

prune9.0ms (0.3%)

Memory
0.2MiB live, 15.6MiB allocated
Pruning

10 alts after pruning (1 fresh and 9 done)

PrunedKeptTotal
New3351336
Fresh000
Picked022
Done077
Total33510345
Accuracy
100.0%
Counts
345 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓70.0%
(*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
✓100.0%
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
✓49.8%
(*.f64 #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) x)
✓50.6%
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
✓49.8%
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (neg.f64 y) x x) y))
51.1%
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 y y y) x))
✓49.9%
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (-.f64 x (*.f64 y x)) y)))
✓49.8%
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y x)))
✓50.7%
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
✓3.0%
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)))
Compiler

Compiled 340 to 159 computations (53.2% saved)

regimes13.0ms (0.4%)

Memory
-2.0MiB live, 8.1MiB allocated
Counts
14 → 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 (* y x)) y) (*.f64 (*.f64 (neg.f64 y) y) x)))
#s(approx (/ (* x y) (+ y 1)) (*.f64 #s(approx (- x (* y x)) (*.f64 (neg.f64 y) x)) y))
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)))
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y x)))
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y))
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (neg.f64 y) x x) y))
(*.f64 #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) x)
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (-.f64 x (*.f64 y x)) y)))
(*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
Outputs
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
Calls

3 calls:

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

Compiled 9 to 10 computations (-11.1% saved)

regimes10.0ms (0.3%)

Memory
-0.6MiB live, 7.2MiB allocated
Counts
10 → 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 (* y x)) y) (*.f64 (*.f64 (neg.f64 y) y) x)))
#s(approx (/ (* x y) (+ y 1)) (*.f64 #s(approx (- x (* y x)) (*.f64 (neg.f64 y) x)) y))
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)))
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y x)))
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y))
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (neg.f64 y) x x) y))
(*.f64 #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) x)
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
Outputs
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y))
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
Calls

3 calls:

3.0ms
x
3.0ms
y
3.0ms
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
59.9%4x
99.0%3y
80.9%2(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes10.0ms (0.3%)

Memory
-1.0MiB live, 6.9MiB allocated
Counts
9 → 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 (* y x)) y) (*.f64 (*.f64 (neg.f64 y) y) x)))
#s(approx (/ (* x y) (+ y 1)) (*.f64 #s(approx (- x (* y x)) (*.f64 (neg.f64 y) x)) y))
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)))
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y x)))
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y))
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 (neg.f64 y) x x) y))
(*.f64 #s(approx (/ y (+ 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) x)
Outputs
#s(approx (/ (* x y) (+ y 1)) (*.f64 (fma.f64 y y y) x))
Calls

3 calls:

3.0ms
x
3.0ms
y
3.0ms
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
51.1%1x
51.1%1(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
51.1%1y
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes4.0ms (0.1%)

Memory
4.4MiB live, 4.4MiB 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
50.7%1y
50.7%1x
50.7%1(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch22.0ms (0.7%)

Memory
0.2MiB live, 7.9MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
9.0ms
0.4963399047268529
57367.33143480479
11.0ms
-10247.364522499316
-4.2231810819289564e-10
Samples
10.0ms304×0valid
Compiler

Compiled 542 to 410 computations (24.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (37.2% of total)
ival-mult: 2.0ms (37.2% of total)
ival-add: 1.0ms (18.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify21.0ms (0.6%)

Memory
2.0MiB live, 18.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02581
14081
25581
36381
46881
56981
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(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 (-.f64 x (*.f64 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
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x)
(*.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) 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 (-.f64 x (*.f64 y x)) 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 (-.f64 x (*.f64 x y)) 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))
#s(approx (/ (* x y) (+ y 1)) (*.f64 x y))

soundness805.0ms (23.7%)

Memory
-3.5MiB live, 4.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0100328
1307314
2673298
31965286
45501286
57975286
08033282
046121
1135113
2274105
3100899
4408099
5596399
6710799
7778899
0803597
0613
0913
13513
220313
3189113
0839613
01139
01439
15639
232939
3345839
01181037
033187
045187
1163187
21029187
09099187
025132
041127
1168127
21251125
09129125
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 176 to 89 computations (49.4% saved)

preprocess100.0ms (2.9%)

Memory
-0.1MiB live, 25.5MiB allocated
Remove

(negabs x)

Compiler

Compiled 292 to 134 computations (54.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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