Development.Shake.Progress:message from shake-0.15.5

Time bar (total: 5.9s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze21.0ms (0.4%)

Memory
19.3MiB live, 57.7MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
25%25%74.9%0.1%0%0%0%3
37.5%37.5%62.4%0.1%0%0%0%4
56.3%56.2%43.7%0.1%0%0%0%5
65.6%65.6%34.3%0.1%0%0%0%6
76.6%76.5%23.4%0.1%0%0%0%7
82%82%18%0.1%0%0%0%8
87.9%87.8%12.1%0.1%0%0%0%9
90.8%90.7%9.2%0.1%0%0%0%10
93.8%93.8%6.1%0.1%0%0%0%11
95.4%95.3%4.6%0.1%0%0%0%12
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample882.0ms (14.9%)

Memory
-15.4MiB live, 1 102.7MiB allocated
Samples
410.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 215.0ms
ival-mult: 90.0ms (41.8% of total)
ival-div: 58.0ms (26.9% of total)
ival-add: 53.0ms (24.6% of total)
ival-true: 6.0ms (2.8% of total)
exact: 5.0ms (2.3% of total)
ival-assert: 4.0ms (1.9% of total)
Bogosity

explain74.0ms (1.3%)

Memory
-4.6MiB live, 76.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-0-(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))
00-0-y
00-0-(*.f64 x #s(literal 100 binary64))
00-0-(+.f64 x y)
00-0-#s(literal 100 binary64)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))o/n10
(*.f64 x #s(literal 100 binary64))overflow1
Confusion
Predicted +Predicted -
+10
-0255
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+100
-00255
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0255
11
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
24.0ms512×0valid
Compiler

Compiled 43 to 22 computations (48.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 4.0ms (36.9% of total)
ival-add: 3.0ms (27.7% of total)
ival-mult: 3.0ms (27.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess53.0ms (0.9%)

Memory
9.9MiB live, 47.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01645
14735
211535
326735
470035
5115235
6150835
7154235
8159035
9162235
067
097
1137
2167
3177
0177
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))
Outputs
(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))
(*.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64))
Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0.1%)

Memory
4.5MiB live, 4.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x y)
cost-diff0
(*.f64 x #s(literal 100 binary64))
cost-diff0
(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0616
0916
11316
21616
31716
01716
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))
(*.f64 x #s(literal 100 binary64))
x
#s(literal 100 binary64)
(+.f64 x y)
y
Outputs
(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))
(*.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64))
(*.f64 x #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) x)
x
#s(literal 100 binary64)
(+.f64 x y)
(+.f64 y x)
y

localize20.0ms (0.3%)

Memory
-4.4MiB live, 34.5MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 x y)
accuracy0
(*.f64 x #s(literal 100 binary64))
accuracy0.40230751741718873
(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))
Samples
16.0ms256×0valid
Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 5.0ms (61.4% of total)
ival-mult: 2.0ms (24.6% of total)
ival-add: 1.0ms (12.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
16.1MiB live, 16.1MiB allocated
Counts
3 → 60
Calls
Call 1
Inputs
#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal 100 binary64)) (patch (*.f64 x #s(literal 100 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())
Outputs
#s(alt 100 (taylor 0 y) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* -100 (/ y x))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ x y)) (taylor inf y) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y) (taylor inf y) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y) (taylor inf y) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y) (taylor inf y) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ x y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ x y)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y)))) (taylor 0 x) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) (taylor 0 x) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y)))) (taylor 0 x) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 100 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 100 binary64)) (patch (*.f64 x #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 100 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 100 binary64)) (patch (*.f64 x #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 100 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 100 binary64)) (patch (*.f64 x #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 100 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 100 binary64)) (patch (*.f64 x #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt 100 (taylor inf x) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* -100 (/ y x))) (taylor inf x) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) (taylor inf x) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) (taylor inf x) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 100 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 100 binary64)) (patch (*.f64 x #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 100 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 100 binary64)) (patch (*.f64 x #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 100 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 100 binary64)) (patch (*.f64 x #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 100 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 100 binary64)) (patch (*.f64 x #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt 100 (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* -100 (/ y x))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) (patch (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* 100 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 100 binary64)) (patch (*.f64 x #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 100 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 100 binary64)) (patch (*.f64 x #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 100 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 100 binary64)) (patch (*.f64 x #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 100 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 100 binary64)) (patch (*.f64 x #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((/ (* x 100) (+ x y)) (* x 100) (+ x y))
1.0ms
x
@inf
((/ (* x 100) (+ x y)) (* x 100) (+ x y))
1.0ms
x
@0
((/ (* x 100) (+ x y)) (* x 100) (+ x y))
1.0ms
y
@inf
((/ (* x 100) (+ x y)) (* x 100) (+ x y))
0.0ms
y
@-inf
((/ (* x 100) (+ x y)) (* x 100) (+ x y))

simplify193.0ms (3.3%)

Memory
-20.4MiB live, 229.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0142445
1400440
2985420
33160406
47109406
08148375
Stop Event
iter limit
node limit
Counts
60 → 54
Calls
Call 1
Inputs
100
(+ 100 (* -100 (/ y x)))
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x)))))
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))))
x
(+ x y)
(+ x y)
(+ x y)
(* 100 (/ x y))
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y)
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y)
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* 100 (/ x y))
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y))
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y))
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* 100 (/ x y))
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y))))
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))
(* 100 x)
(* 100 x)
(* 100 x)
(* 100 x)
y
(+ x y)
(+ x y)
(+ x y)
100
(+ 100 (* -100 (/ y x)))
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x)))
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x))))
(* 100 x)
(* 100 x)
(* 100 x)
(* 100 x)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
100
(+ 100 (* -100 (/ y x)))
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x)))
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x)))
(* 100 x)
(* 100 x)
(* 100 x)
(* 100 x)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
Outputs
100
#s(literal 100 binary64)
(+ 100 (* -100 (/ y x)))
(fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x)))))
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) #s(literal 100 binary64))
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))))
(fma.f64 (/.f64 #s(literal -100 binary64) x) (fma.f64 (/.f64 y x) (-.f64 (*.f64 (/.f64 y x) y) y) y) #s(literal 100 binary64))
x
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(* 100 (/ x y))
(*.f64 (/.f64 #s(literal 100 binary64) y) x)
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y)
(/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal -100 binary64) y) x #s(literal 100 binary64))) y)
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y)
(/.f64 (fma.f64 (*.f64 (/.f64 x y) x) (fma.f64 (/.f64 #s(literal 100 binary64) y) x #s(literal -100 binary64)) (*.f64 x #s(literal 100 binary64))) y)
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y)
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -100 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 x y) x) (fma.f64 (/.f64 #s(literal 100 binary64) y) x #s(literal -100 binary64)) (*.f64 x #s(literal 100 binary64)))) y)
y
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* 100 (/ x y))
(*.f64 (/.f64 #s(literal 100 binary64) y) x)
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y))
(/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal -100 binary64) y) x #s(literal 100 binary64))) y)
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y))
(/.f64 (fma.f64 x #s(literal 100 binary64) (/.f64 (*.f64 (*.f64 x x) (fma.f64 (/.f64 #s(literal 100 binary64) y) x #s(literal -100 binary64))) y)) y)
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y))
(/.f64 (fma.f64 x #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 x #s(literal -100 binary64)) x (/.f64 (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) #s(literal -100 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 100 binary64))) y)) y)) y)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* 100 (/ x y))
(*.f64 (/.f64 #s(literal 100 binary64) y) x)
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y))))
(*.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -100 binary64) y) x #s(literal 100 binary64)))
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))
(*.f64 (fma.f64 (/.f64 (/.f64 x y) y) (fma.f64 (/.f64 #s(literal 100 binary64) y) x #s(literal -100 binary64)) (/.f64 #s(literal 100 binary64) y)) x)
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal -100 binary64) (/.f64 #s(literal 100 binary64) (pow.f64 y #s(literal 3 binary64)))) x (/.f64 #s(literal -100 binary64) (*.f64 y y))) x (/.f64 #s(literal 100 binary64) y)) x)
(* 100 x)
(*.f64 x #s(literal 100 binary64))
(* 100 x)
(*.f64 x #s(literal 100 binary64))
(* 100 x)
(*.f64 x #s(literal 100 binary64))
(* 100 x)
(*.f64 x #s(literal 100 binary64))
y
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
100
#s(literal 100 binary64)
(+ 100 (* -100 (/ y x)))
(fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x)))
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) #s(literal 100 binary64))
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x))))
(fma.f64 (/.f64 #s(literal -100 binary64) x) (fma.f64 (/.f64 y x) (-.f64 (*.f64 (/.f64 y x) y) y) y) #s(literal 100 binary64))
(* 100 x)
(*.f64 x #s(literal 100 binary64))
(* 100 x)
(*.f64 x #s(literal 100 binary64))
(* 100 x)
(*.f64 x #s(literal 100 binary64))
(* 100 x)
(*.f64 x #s(literal 100 binary64))
x
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
100
#s(literal 100 binary64)
(+ 100 (* -100 (/ y x)))
(fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x)))
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) #s(literal 100 binary64))
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x)))
(fma.f64 (/.f64 #s(literal -100 binary64) x) (fma.f64 (/.f64 y x) (-.f64 (*.f64 (/.f64 y x) y) y) y) #s(literal 100 binary64))
(* 100 x)
(*.f64 x #s(literal 100 binary64))
(* 100 x)
(*.f64 x #s(literal 100 binary64))
(* 100 x)
(*.f64 x #s(literal 100 binary64))
(* 100 x)
(*.f64 x #s(literal 100 binary64))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)

rewrite361.0ms (6.1%)

Memory
11.8MiB live, 205.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
0913
13413
221813
3214413
0819513
Stop Event
iter limit
node limit
iter limit
Counts
3 → 323
Calls
Call 1
Inputs
(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))
(*.f64 x #s(literal 100 binary64))
(+.f64 x y)
Outputs
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eval63.0ms (1.1%)

Memory
-14.4MiB live, 99.5MiB allocated
Compiler

Compiled 8 511 to 1 130 computations (86.7% saved)

prune10.0ms (0.2%)

Memory
32.8MiB live, 32.8MiB allocated
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New3707377
Fresh000
Picked011
Done000
Total3708378
Accuracy
100.0%
Counts
378 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))
99.6%
(/.f64 x (*.f64 (+.f64 y x) #s(literal 1/100 binary64)))
99.5%
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) (/.f64 (+.f64 y x) x)))
99.8%
(*.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64))
99.7%
(*.f64 #s(literal -100 binary64) (*.f64 x (/.f64 #s(literal -1 binary64) (+.f64 y x))))
49.1%
#s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)))
50.8%
#s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x))
49.6%
#s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64))
Compiler

Compiled 101 to 96 computations (5% saved)

simplify7.0ms (0.1%)

Memory
-31.1MiB live, 6.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff-384
(/.f64 x (*.f64 (+.f64 y x) #s(literal 1/100 binary64)))
cost-diff0
(+.f64 y x)
cost-diff0
(*.f64 (+.f64 y x) #s(literal 1/100 binary64))
cost-diff0
(/.f64 #s(literal -100 binary64) x)
cost-diff0
(fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))
cost-diff0
#s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)))
cost-diff0
(/.f64 #s(literal 100 binary64) y)
cost-diff0
(*.f64 (/.f64 #s(literal 100 binary64) y) x)
cost-diff0
#s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x))
cost-diff0
#s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64))
cost-diff0
(+.f64 y x)
cost-diff0
(/.f64 x (+.f64 y x))
cost-diff0
(*.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02097
03097
14597
26297
36497
06497
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64))
(/.f64 x (+.f64 y x))
x
(+.f64 y x)
y
#s(literal 100 binary64)
#s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64))
#s(literal 100 binary64)
#s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x))
(*.f64 (/.f64 #s(literal 100 binary64) y) x)
(/.f64 #s(literal 100 binary64) y)
#s(literal 100 binary64)
y
x
#s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)))
(fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))
(/.f64 #s(literal -100 binary64) x)
#s(literal -100 binary64)
x
y
#s(literal 100 binary64)
(/.f64 x (*.f64 (+.f64 y x) #s(literal 1/100 binary64)))
x
(*.f64 (+.f64 y x) #s(literal 1/100 binary64))
(+.f64 y x)
y
#s(literal 1/100 binary64)
Outputs
(*.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 x (+.f64 y x)))
(/.f64 x (+.f64 y x))
x
(+.f64 y x)
y
#s(literal 100 binary64)
#s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64))
#s(literal 100 binary64)
#s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x))
(*.f64 (/.f64 #s(literal 100 binary64) y) x)
(/.f64 #s(literal 100 binary64) y)
#s(literal 100 binary64)
y
x
#s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)))
(fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))
(/.f64 #s(literal -100 binary64) x)
#s(literal -100 binary64)
x
y
#s(literal 100 binary64)
(/.f64 x (*.f64 (+.f64 y x) #s(literal 1/100 binary64)))
(/.f64 (/.f64 x (+.f64 y x)) #s(literal 1/100 binary64))
x
(*.f64 (+.f64 y x) #s(literal 1/100 binary64))
(*.f64 #s(literal 1/100 binary64) (+.f64 y x))
(+.f64 y x)
y
#s(literal 1/100 binary64)

localize62.0ms (1%)

Memory
-5.3MiB live, 81.3MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 y x)
accuracy0.17578125
(*.f64 (+.f64 y x) #s(literal 1/100 binary64))
accuracy0.1875
(/.f64 x (*.f64 (+.f64 y x) #s(literal 1/100 binary64)))
accuracy0
(/.f64 #s(literal -100 binary64) x)
accuracy0.125
(fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))
accuracy32.55099486240715
#s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)))
accuracy0
(/.f64 #s(literal 100 binary64) y)
accuracy0.1953125
(*.f64 (/.f64 #s(literal 100 binary64) y) x)
accuracy31.40617571683355
#s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x))
accuracy32.26334455090668
#s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64))
accuracy0
(+.f64 y x)
accuracy0.0078125
(/.f64 x (+.f64 y x))
accuracy0.11910880115753779
(*.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64))
Samples
38.0ms256×0valid
Compiler

Compiled 85 to 20 computations (76.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-div: 8.0ms (33.2% of total)
ival-mult: 7.0ms (29.1% of total)
ival-add: 4.0ms (16.6% of total)
const: 4.0ms (16.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series17.0ms (0.3%)

Memory
21.7MiB live, 21.7MiB allocated
Counts
12 → 264
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64)) (patch (*.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 x (+.f64 y x)) (patch (/.f64 x (+.f64 y x)) #<representation binary64>) () ())
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())
#s(alt #s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) (patch #s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) (patch #s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 100 binary64) y) x) (patch (*.f64 (/.f64 #s(literal 100 binary64) y) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 100 binary64) y) (patch (/.f64 #s(literal 100 binary64) y) #<representation binary64>) () ())
#s(alt #s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))) (patch #s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)) (patch (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -100 binary64) x) (patch (/.f64 #s(literal -100 binary64) x) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 y x) #s(literal 1/100 binary64)) (patch (*.f64 (+.f64 y x) #s(literal 1/100 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 x (*.f64 (+.f64 y x) #s(literal 1/100 binary64))) (patch (/.f64 x (*.f64 (+.f64 y x) #s(literal 1/100 binary64))) #<representation binary64>) () ())
Outputs
#s(alt 100 (taylor 0 y) (#s(alt (*.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64)) (patch (*.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64)) #<representation binary64>) () ())) ())
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Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@0
((* (/ x (+ y x)) 100) (/ x (+ y x)) (+ y x) (/ (* x 100) (+ x y)) (/ (* x 100) (+ x y)) (* (/ 100 y) x) (/ 100 y) (/ (* x 100) (+ x y)) (+ (* (/ -100 x) y) 100) (/ -100 x) (* (+ y x) 1/100) (/ x (* (+ y x) 1/100)))
2.0ms
y
@0
((* (/ x (+ y x)) 100) (/ x (+ y x)) (+ y x) (/ (* x 100) (+ x y)) (/ (* x 100) (+ x y)) (* (/ 100 y) x) (/ 100 y) (/ (* x 100) (+ x y)) (+ (* (/ -100 x) y) 100) (/ -100 x) (* (+ y x) 1/100) (/ x (* (+ y x) 1/100)))
1.0ms
y
@inf
((* (/ x (+ y x)) 100) (/ x (+ y x)) (+ y x) (/ (* x 100) (+ x y)) (/ (* x 100) (+ x y)) (* (/ 100 y) x) (/ 100 y) (/ (* x 100) (+ x y)) (+ (* (/ -100 x) y) 100) (/ -100 x) (* (+ y x) 1/100) (/ x (* (+ y x) 1/100)))
1.0ms
x
@inf
((* (/ x (+ y x)) 100) (/ x (+ y x)) (+ y x) (/ (* x 100) (+ x y)) (/ (* x 100) (+ x y)) (* (/ 100 y) x) (/ 100 y) (/ (* x 100) (+ x y)) (+ (* (/ -100 x) y) 100) (/ -100 x) (* (+ y x) 1/100) (/ x (* (+ y x) 1/100)))
1.0ms
y
@-inf
((* (/ x (+ y x)) 100) (/ x (+ y x)) (+ y x) (/ (* x 100) (+ x y)) (/ (* x 100) (+ x y)) (* (/ 100 y) x) (/ 100 y) (/ (* x 100) (+ x y)) (+ (* (/ -100 x) y) 100) (/ -100 x) (* (+ y x) 1/100) (/ x (* (+ y x) 1/100)))

simplify180.0ms (3.1%)

Memory
-3.6MiB live, 158.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02472555
17552512
219022378
366532376
084182225
Stop Event
iter limit
node limit
Counts
264 → 258
Calls
Call 1
Inputs
100
(+ 100 (* -100 (/ y x)))
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x)))))
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))))
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
x
(+ x y)
(+ x y)
(+ x y)
100
(+ 100 (* -100 (/ y x)))
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x)))))
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))))
100
(+ 100 (* -100 (/ y x)))
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x)))))
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(/ 100 y)
(/ 100 y)
(/ 100 y)
(/ 100 y)
100
(+ 100 (* -100 (/ y x)))
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x)))))
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))))
100
(+ 100 (* -100 (/ y x)))
(+ 100 (* -100 (/ y x)))
(+ 100 (* -100 (/ y x)))
(* 1/100 x)
(+ (* 1/100 x) (* 1/100 y))
(+ (* 1/100 x) (* 1/100 y))
(+ (* 1/100 x) (* 1/100 y))
100
(+ 100 (* -100 (/ y x)))
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x)))))
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))))
(* 100 (/ x y))
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y)
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y)
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y)
(/ x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* 100 (/ x y))
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y)
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y)
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y)
(* 100 (/ x y))
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y)
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y)
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y)
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(/ 100 y)
(/ 100 y)
(/ 100 y)
(/ 100 y)
(* 100 (/ x y))
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y)
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y)
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y)
(* -100 (/ y x))
(* y (- (* 100 (/ 1 y)) (* 100 (/ 1 x))))
(* y (- (* 100 (/ 1 y)) (* 100 (/ 1 x))))
(* y (- (* 100 (/ 1 y)) (* 100 (/ 1 x))))
(* 1/100 y)
(* y (+ 1/100 (* 1/100 (/ x y))))
(* y (+ 1/100 (* 1/100 (/ x y))))
(* y (+ 1/100 (* 1/100 (/ x y))))
(* 100 (/ x y))
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y)
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y)
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y)
(* 100 (/ x y))
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y))
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y))
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y))
(/ x y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* 100 (/ x y))
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y))
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y))
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y))
(* 100 (/ x y))
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y))
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y))
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(/ 100 y)
(/ 100 y)
(/ 100 y)
(/ 100 y)
(* 100 (/ x y))
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y))
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y))
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y))
(* -100 (/ y x))
(* -1 (* y (- (* 100 (/ 1 x)) (* 100 (/ 1 y)))))
(* -1 (* y (- (* 100 (/ 1 x)) (* 100 (/ 1 y)))))
(* -1 (* y (- (* 100 (/ 1 x)) (* 100 (/ 1 y)))))
(* 1/100 y)
(* -1 (* y (- (* -1/100 (/ x y)) 1/100)))
(* -1 (* y (- (* -1/100 (/ x y)) 1/100)))
(* -1 (* y (- (* -1/100 (/ x y)) 1/100)))
(* 100 (/ x y))
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y))
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y))
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y))
(* 100 (/ x y))
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y))))
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))
(/ x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
y
(+ x y)
(+ x y)
(+ x y)
(* 100 (/ x y))
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y))))
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))
(* 100 (/ x y))
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y))))
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y))))
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))
(* -100 (/ y x))
(/ (+ (* -100 y) (* 100 x)) x)
(/ (+ (* -100 y) (* 100 x)) x)
(/ (+ (* -100 y) (* 100 x)) x)
(/ -100 x)
(/ -100 x)
(/ -100 x)
(/ -100 x)
(* 1/100 y)
(+ (* 1/100 x) (* 1/100 y))
(+ (* 1/100 x) (* 1/100 y))
(+ (* 1/100 x) (* 1/100 y))
(* 100 (/ x y))
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y))))
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))
100
(+ 100 (* -100 (/ y x)))
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x)))
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x))))
1
(+ 1 (* -1 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
100
(+ 100 (* -100 (/ y x)))
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x)))
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x))))
100
(+ 100 (* -100 (/ y x)))
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x)))
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x))))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
100
(+ 100 (* -100 (/ y x)))
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x)))
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x))))
100
(+ 100 (* -100 (/ y x)))
(+ 100 (* -100 (/ y x)))
(+ 100 (* -100 (/ y x)))
(/ -100 x)
(/ -100 x)
(/ -100 x)
(/ -100 x)
(* 1/100 x)
(* x (+ 1/100 (* 1/100 (/ y x))))
(* x (+ 1/100 (* 1/100 (/ y x))))
(* x (+ 1/100 (* 1/100 (/ y x))))
100
(+ 100 (* -100 (/ y x)))
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x)))
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x))))
100
(+ 100 (* -100 (/ y x)))
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x)))
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x)))
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
100
(+ 100 (* -100 (/ y x)))
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x)))
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x)))
100
(+ 100 (* -100 (/ y x)))
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x)))
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x)))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
100
(+ 100 (* -100 (/ y x)))
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x)))
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x)))
100
(+ 100 (* -100 (/ y x)))
(+ 100 (* -100 (/ y x)))
(+ 100 (* -100 (/ y x)))
(/ -100 x)
(/ -100 x)
(/ -100 x)
(/ -100 x)
(* 1/100 x)
(* -1 (* x (- (* -1/100 (/ y x)) 1/100)))
(* -1 (* x (- (* -1/100 (/ y x)) 1/100)))
(* -1 (* x (- (* -1/100 (/ y x)) 1/100)))
100
(+ 100 (* -100 (/ y x)))
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x)))
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x)))
Outputs
100
#s(literal 100 binary64)
(+ 100 (* -100 (/ y x)))
(fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) y (neg.f64 y)) x) #s(literal 100 binary64) #s(literal 100 binary64))
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))))
(fma.f64 #s(literal -100 binary64) (/.f64 (-.f64 y (/.f64 (fma.f64 y y (/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) x)) x)) x) #s(literal 100 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))))
x
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
100
#s(literal 100 binary64)
(+ 100 (* -100 (/ y x)))
(fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) y (neg.f64 y)) x) #s(literal 100 binary64) #s(literal 100 binary64))
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))))
(fma.f64 #s(literal -100 binary64) (/.f64 (-.f64 y (/.f64 (fma.f64 y y (/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) x)) x)) x) #s(literal 100 binary64))
100
#s(literal 100 binary64)
(+ 100 (* -100 (/ y x)))
(fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) y (neg.f64 y)) x) #s(literal 100 binary64) #s(literal 100 binary64))
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))))
(fma.f64 #s(literal -100 binary64) (/.f64 (-.f64 y (/.f64 (fma.f64 y y (/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) x)) x)) x) #s(literal 100 binary64))
(* 100 (/ x y))
(*.f64 (/.f64 #s(literal 100 binary64) y) x)
(* 100 (/ x y))
(*.f64 (/.f64 #s(literal 100 binary64) y) x)
(* 100 (/ x y))
(*.f64 (/.f64 #s(literal 100 binary64) y) x)
(* 100 (/ x y))
(*.f64 (/.f64 #s(literal 100 binary64) y) x)
(/ 100 y)
(/.f64 #s(literal 100 binary64) y)
(/ 100 y)
(/.f64 #s(literal 100 binary64) y)
(/ 100 y)
(/.f64 #s(literal 100 binary64) y)
(/ 100 y)
(/.f64 #s(literal 100 binary64) y)
100
#s(literal 100 binary64)
(+ 100 (* -100 (/ y x)))
(fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) y (neg.f64 y)) x) #s(literal 100 binary64) #s(literal 100 binary64))
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))))
(fma.f64 #s(literal -100 binary64) (/.f64 (-.f64 y (/.f64 (fma.f64 y y (/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) x)) x)) x) #s(literal 100 binary64))
100
#s(literal 100 binary64)
(+ 100 (* -100 (/ y x)))
(fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))
(+ 100 (* -100 (/ y x)))
(fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))
(+ 100 (* -100 (/ y x)))
(fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))
(* 1/100 x)
(*.f64 #s(literal 1/100 binary64) x)
(+ (* 1/100 x) (* 1/100 y))
(*.f64 (+.f64 x y) #s(literal 1/100 binary64))
(+ (* 1/100 x) (* 1/100 y))
(*.f64 (+.f64 x y) #s(literal 1/100 binary64))
(+ (* 1/100 x) (* 1/100 y))
(*.f64 (+.f64 x y) #s(literal 1/100 binary64))
100
#s(literal 100 binary64)
(+ 100 (* -100 (/ y x)))
(fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) y (neg.f64 y)) x) #s(literal 100 binary64) #s(literal 100 binary64))
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))))
(fma.f64 #s(literal -100 binary64) (/.f64 (-.f64 y (/.f64 (fma.f64 y y (/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) x)) x)) x) #s(literal 100 binary64))
(* 100 (/ x y))
(*.f64 (/.f64 #s(literal 100 binary64) y) x)
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y)
(/.f64 (fma.f64 (*.f64 (/.f64 x y) x) #s(literal -100 binary64) (*.f64 x #s(literal 100 binary64))) y)
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y)
(/.f64 (fma.f64 (/.f64 #s(literal -100 binary64) y) (*.f64 x x) (*.f64 (+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) y) x) #s(literal 100 binary64))) y)
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y)
(/.f64 (fma.f64 (fma.f64 (/.f64 x y) x (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -100 binary64) (*.f64 (+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) y) x) #s(literal 100 binary64))) y)
(/ x y)
(/.f64 x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/.f64 (-.f64 x (*.f64 (/.f64 x y) x)) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/.f64 (fma.f64 (/.f64 x y) (fma.f64 (/.f64 x y) x (neg.f64 x)) x) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/.f64 (-.f64 x (/.f64 (fma.f64 x x (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) y)) y)
y
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* 100 (/ x y))
(*.f64 (/.f64 #s(literal 100 binary64) y) x)
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y)
(/.f64 (fma.f64 (*.f64 (/.f64 x y) x) #s(literal -100 binary64) (*.f64 x #s(literal 100 binary64))) y)
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y)
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(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x))))
(fma.f64 #s(literal -100 binary64) (/.f64 (-.f64 y (/.f64 (fma.f64 y y (/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) x)) x)) x) #s(literal 100 binary64))
100
#s(literal 100 binary64)
(+ 100 (* -100 (/ y x)))
(fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x)))
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) y (neg.f64 y)) x) #s(literal 100 binary64) #s(literal 100 binary64))
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x))))
(fma.f64 #s(literal -100 binary64) (/.f64 (-.f64 y (/.f64 (fma.f64 y y (/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) x)) x)) x) #s(literal 100 binary64))
(* 100 (/ x y))
(*.f64 (/.f64 #s(literal 100 binary64) y) x)
(* 100 (/ x y))
(*.f64 (/.f64 #s(literal 100 binary64) y) x)
(* 100 (/ x y))
(*.f64 (/.f64 #s(literal 100 binary64) y) x)
(* 100 (/ x y))
(*.f64 (/.f64 #s(literal 100 binary64) y) x)
100
#s(literal 100 binary64)
(+ 100 (* -100 (/ y x)))
(fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x)))
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(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x))))
(fma.f64 #s(literal -100 binary64) (/.f64 (-.f64 y (/.f64 (fma.f64 y y (/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) x)) x)) x) #s(literal 100 binary64))
100
#s(literal 100 binary64)
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(fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))
(+ 100 (* -100 (/ y x)))
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(+ 100 (* -100 (/ y x)))
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(/ -100 x)
(/.f64 #s(literal -100 binary64) x)
(/ -100 x)
(/.f64 #s(literal -100 binary64) x)
(/ -100 x)
(/.f64 #s(literal -100 binary64) x)
(/ -100 x)
(/.f64 #s(literal -100 binary64) x)
(* 1/100 x)
(*.f64 #s(literal 1/100 binary64) x)
(* x (+ 1/100 (* 1/100 (/ y x))))
(*.f64 (+.f64 x y) #s(literal 1/100 binary64))
(* x (+ 1/100 (* 1/100 (/ y x))))
(*.f64 (+.f64 x y) #s(literal 1/100 binary64))
(* x (+ 1/100 (* 1/100 (/ y x))))
(*.f64 (+.f64 x y) #s(literal 1/100 binary64))
100
#s(literal 100 binary64)
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100
#s(literal 100 binary64)
(+ 100 (* -100 (/ y x)))
(fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x)))
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(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x)))
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1
#s(literal 1 binary64)
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(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
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x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
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(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
100
#s(literal 100 binary64)
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(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x)))
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(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x)))
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100
#s(literal 100 binary64)
(+ 100 (* -100 (/ y x)))
(fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x)))
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) y (neg.f64 y)) x) #s(literal 100 binary64) #s(literal 100 binary64))
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x)))
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(* 100 (/ x y))
(*.f64 (/.f64 #s(literal 100 binary64) y) x)
(* 100 (/ x y))
(*.f64 (/.f64 #s(literal 100 binary64) y) x)
(* 100 (/ x y))
(*.f64 (/.f64 #s(literal 100 binary64) y) x)
100
#s(literal 100 binary64)
(+ 100 (* -100 (/ y x)))
(fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x)))
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(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x)))
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100
#s(literal 100 binary64)
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(fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))
(+ 100 (* -100 (/ y x)))
(fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))
(+ 100 (* -100 (/ y x)))
(fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))
(/ -100 x)
(/.f64 #s(literal -100 binary64) x)
(/ -100 x)
(/.f64 #s(literal -100 binary64) x)
(/ -100 x)
(/.f64 #s(literal -100 binary64) x)
(/ -100 x)
(/.f64 #s(literal -100 binary64) x)
(* 1/100 x)
(*.f64 #s(literal 1/100 binary64) x)
(* -1 (* x (- (* -1/100 (/ y x)) 1/100)))
(*.f64 (+.f64 x y) #s(literal 1/100 binary64))
(* -1 (* x (- (* -1/100 (/ y x)) 1/100)))
(*.f64 (+.f64 x y) #s(literal 1/100 binary64))
(* -1 (* x (- (* -1/100 (/ y x)) 1/100)))
(*.f64 (+.f64 x y) #s(literal 1/100 binary64))
100
#s(literal 100 binary64)
(+ 100 (* -100 (/ y x)))
(fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x)))
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) y (neg.f64 y)) x) #s(literal 100 binary64) #s(literal 100 binary64))
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x)))
(fma.f64 #s(literal -100 binary64) (/.f64 (-.f64 y (/.f64 (fma.f64 y y (/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) x)) x)) x) #s(literal 100 binary64))

rewrite149.0ms (2.5%)

Memory
28.9MiB live, 255.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02080
03080
111780
270280
3769380
0815680
Stop Event
iter limit
node limit
iter limit
Counts
12 → 670
Calls
Call 1
Inputs
(*.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64))
(/.f64 x (+.f64 y x))
(+.f64 y x)
#s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64))
#s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x))
(*.f64 (/.f64 #s(literal 100 binary64) y) x)
(/.f64 #s(literal 100 binary64) y)
#s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)))
(fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))
(/.f64 #s(literal -100 binary64) x)
(*.f64 (+.f64 y x) #s(literal 1/100 binary64))
(/.f64 x (*.f64 (+.f64 y x) #s(literal 1/100 binary64)))
Outputs
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eval159.0ms (2.7%)

Memory
-57.7MiB live, 245.6MiB allocated
Compiler

Compiled 17 968 to 1 974 computations (89% saved)

prune152.0ms (2.6%)

Memory
16.0MiB live, 94.8MiB allocated
Pruning

11 alts after pruning (6 fresh and 5 done)

PrunedKeptTotal
New1 04161 047
Fresh202
Picked145
Done011
Total1 044111 055
Accuracy
100.0%
Counts
1 055 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))
50.8%
(/.f64 x #s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) y)))
49.4%
(/.f64 x #s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) x)))
99.5%
(/.f64 #s(literal 100 binary64) (/.f64 (+.f64 y x) x))
99.8%
(*.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64))
50.8%
(*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64))
49.1%
#s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)))
50.8%
#s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y))
50.8%
#s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x))
50.7%
#s(approx (/ (* x 100) (+ x y)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) x))
49.6%
#s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64))
Compiler

Compiled 107 to 105 computations (1.9% saved)

simplify5.0ms (0.1%)

Memory
10.4MiB live, 10.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 1/100 binary64) y)
cost-diff0
#s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) y))
cost-diff0
(/.f64 x #s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) y)))
cost-diff0
(*.f64 #s(literal 1/100 binary64) x)
cost-diff0
#s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) x))
cost-diff0
(/.f64 x #s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) x)))
cost-diff0
(/.f64 x y)
cost-diff0
#s(approx (/ x (+ y x)) (/.f64 x y))
cost-diff0
(*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64))
cost-diff0
(*.f64 #s(literal 100 binary64) x)
cost-diff0
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
cost-diff0
#s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y))
cost-diff0
(+.f64 y x)
cost-diff0
(/.f64 (+.f64 y x) x)
cost-diff384
(/.f64 #s(literal 100 binary64) (/.f64 (+.f64 y x) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025119
036119
147119
253119
355119
055119
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 100 binary64) (/.f64 (+.f64 y x) x))
#s(literal 100 binary64)
(/.f64 (+.f64 y x) x)
(+.f64 y x)
y
x
#s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(*.f64 #s(literal 100 binary64) x)
#s(literal 100 binary64)
x
y
(*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64))
#s(approx (/ x (+ y x)) (/.f64 x y))
(/.f64 x y)
x
y
#s(literal 100 binary64)
(/.f64 x #s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) x)))
x
#s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) x))
(*.f64 #s(literal 1/100 binary64) x)
#s(literal 1/100 binary64)
(/.f64 x #s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) y)))
x
#s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) y))
(*.f64 #s(literal 1/100 binary64) y)
#s(literal 1/100 binary64)
y
Outputs
(/.f64 #s(literal 100 binary64) (/.f64 (+.f64 y x) x))
(*.f64 (/.f64 #s(literal 100 binary64) (+.f64 x y)) x)
#s(literal 100 binary64)
(/.f64 (+.f64 y x) x)
(/.f64 (+.f64 x y) x)
(+.f64 y x)
(+.f64 x y)
y
x
#s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y))
#s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 x #s(literal 100 binary64)) y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(/.f64 (*.f64 x #s(literal 100 binary64)) y)
(*.f64 #s(literal 100 binary64) x)
(*.f64 x #s(literal 100 binary64))
#s(literal 100 binary64)
x
y
(*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64))
#s(approx (/ x (+ y x)) (/.f64 x y))
(/.f64 x y)
x
y
#s(literal 100 binary64)
(/.f64 x #s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) x)))
x
#s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) x))
(*.f64 #s(literal 1/100 binary64) x)
#s(literal 1/100 binary64)
(/.f64 x #s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) y)))
x
#s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) y))
(*.f64 #s(literal 1/100 binary64) y)
#s(literal 1/100 binary64)
y

localize299.0ms (5.1%)

Memory
-26.3MiB live, 59.5MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0.16796875
(*.f64 #s(literal 1/100 binary64) y)
accuracy0.1875
(/.f64 x #s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) y)))
accuracy31.294858562677508
#s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) y))
accuracy0.17578125
(*.f64 #s(literal 1/100 binary64) x)
accuracy0.1875
(/.f64 x #s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) x)))
accuracy32.32796487479803
#s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) x))
accuracy0
(/.f64 x y)
accuracy0.11910880115753779
(*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64))
accuracy31.399114748129236
#s(approx (/ x (+ y x)) (/.f64 x y))
accuracy0
(*.f64 #s(literal 100 binary64) x)
accuracy0.19140625
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
accuracy31.40617571683355
#s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y))
accuracy0
(+.f64 y x)
accuracy0.03125
(/.f64 (+.f64 y x) x)
accuracy0.324183651240154
(/.f64 #s(literal 100 binary64) (/.f64 (+.f64 y x) x))
Samples
44.0ms256×0valid
Compiler

Compiled 91 to 21 computations (76.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-div: 12.0ms (44.5% of total)
ival-mult: 8.0ms (29.6% of total)
const: 4.0ms (14.8% of total)
ival-add: 3.0ms (11.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series16.0ms (0.3%)

Memory
15.1MiB live, 15.1MiB allocated
Counts
15 → 324
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 100 binary64) (/.f64 (+.f64 y x) x)) (patch (/.f64 #s(literal 100 binary64) (/.f64 (+.f64 y x) x)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 y x) x) (patch (/.f64 (+.f64 y x) x) #<representation binary64>) () ())
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())
#s(alt #s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y)) (patch #s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal 100 binary64) x) y) (patch (/.f64 (*.f64 #s(literal 100 binary64) x) y) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 100 binary64) x) (patch (*.f64 #s(literal 100 binary64) x) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64)) (patch (*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ x (+ y x)) (/.f64 x y)) (patch #s(approx (/ x (+ y x)) (/.f64 x y)) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt (/.f64 x #s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) x))) (patch (/.f64 x #s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) x))) #<representation binary64>) () ())
#s(alt #s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) x)) (patch #s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) x)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/100 binary64) x) (patch (*.f64 #s(literal 1/100 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 x #s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) y))) (patch (/.f64 x #s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) y))) #<representation binary64>) () ())
#s(alt #s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) y)) (patch #s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) y)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/100 binary64) y) (patch (*.f64 #s(literal 1/100 binary64) y) #<representation binary64>) () ())
Outputs
#s(alt 100 (taylor 0 y) (#s(alt (/.f64 #s(literal 100 binary64) (/.f64 (+.f64 y x) x)) (patch (/.f64 #s(literal 100 binary64) (/.f64 (+.f64 y x) x)) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* -100 (/ y x))) (taylor 0 y) (#s(alt (/.f64 #s(literal 100 binary64) (/.f64 (+.f64 y x) x)) (patch (/.f64 #s(literal 100 binary64) (/.f64 (+.f64 y x) x)) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) (taylor 0 y) (#s(alt (/.f64 #s(literal 100 binary64) (/.f64 (+.f64 y x) x)) (patch (/.f64 #s(literal 100 binary64) (/.f64 (+.f64 y x) x)) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) (taylor 0 y) (#s(alt (/.f64 #s(literal 100 binary64) (/.f64 (+.f64 y x) x)) (patch (/.f64 #s(literal 100 binary64) (/.f64 (+.f64 y x) x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 (+.f64 y x) x) (patch (/.f64 (+.f64 y x) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ y x)) (taylor 0 y) (#s(alt (/.f64 (+.f64 y x) x) (patch (/.f64 (+.f64 y x) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ y x)) (taylor 0 y) (#s(alt (/.f64 (+.f64 y x) x) (patch (/.f64 (+.f64 y x) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ y x)) (taylor 0 y) (#s(alt (/.f64 (+.f64 y x) x) (patch (/.f64 (+.f64 y x) x) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ())
#s(alt 100 (taylor 0 y) (#s(alt #s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y)) (patch #s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* -100 (/ y x))) (taylor 0 y) (#s(alt #s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y)) (patch #s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y)) (patch #s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y)) (patch #s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y)) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 #s(literal 100 binary64) x) y) (patch (/.f64 (*.f64 #s(literal 100 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 #s(literal 100 binary64) x) y) (patch (/.f64 (*.f64 #s(literal 100 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 #s(literal 100 binary64) x) y) (patch (/.f64 (*.f64 #s(literal 100 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 #s(literal 100 binary64) x) y) (patch (/.f64 (*.f64 #s(literal 100 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt 100 (taylor 0 y) (#s(alt (*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64)) (patch (*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* -100 (/ y x))) (taylor 0 y) (#s(alt (*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64)) (patch (*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) (taylor 0 y) (#s(alt (*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64)) (patch (*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) (taylor 0 y) (#s(alt (*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64)) (patch (*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (/ x (+ y x)) (/.f64 x y)) (patch #s(approx (/ x (+ y x)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ y x))) (taylor 0 y) (#s(alt #s(approx (/ x (+ y x)) (/.f64 x y)) (patch #s(approx (/ x (+ y x)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (/ y (pow x 2)) (/ 1 x)))) (taylor 0 y) (#s(alt #s(approx (/ x (+ y x)) (/.f64 x y)) (patch #s(approx (/ x (+ y x)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))) (taylor 0 y) (#s(alt #s(approx (/ x (+ y x)) (/.f64 x y)) (patch #s(approx (/ x (+ y x)) (/.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt 100 (taylor 0 y) (#s(alt (/.f64 x #s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) x))) (patch (/.f64 x #s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* -100 (/ y x))) (taylor 0 y) (#s(alt (/.f64 x #s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) x))) (patch (/.f64 x #s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) (taylor 0 y) (#s(alt (/.f64 x #s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) x))) (patch (/.f64 x #s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) (taylor 0 y) (#s(alt (/.f64 x #s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) x))) (patch (/.f64 x #s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* 1/100 x) (taylor 0 y) (#s(alt #s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) x)) (patch #s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/100 x) (* 1/100 y)) (taylor 0 y) (#s(alt #s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) x)) (patch #s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/100 x) (* 1/100 y)) (taylor 0 y) (#s(alt #s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) x)) (patch #s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/100 x) (* 1/100 y)) (taylor 0 y) (#s(alt #s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) x)) (patch #s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) x)) #<representation binary64>) () ())) ())
#s(alt 100 (taylor 0 y) (#s(alt (/.f64 x #s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) y))) (patch (/.f64 x #s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* -100 (/ y x))) (taylor 0 y) (#s(alt (/.f64 x #s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) y))) (patch (/.f64 x #s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) (taylor 0 y) (#s(alt (/.f64 x #s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) y))) (patch (/.f64 x #s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) y))) #<representation binary64>) () ())) ())
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#s(alt (+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) (taylor -inf x) (#s(alt (/.f64 x #s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) y))) (patch (/.f64 x #s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) (taylor -inf x) (#s(alt (/.f64 x #s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) y))) (patch (/.f64 x #s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* 1/100 x) (taylor -inf x) (#s(alt #s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) y)) (patch #s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/100 (/ y x)) 1/100))) (taylor -inf x) (#s(alt #s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) y)) (patch #s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/100 (/ y x)) 1/100))) (taylor -inf x) (#s(alt #s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) y)) (patch #s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1/100 (/ y x)) 1/100))) (taylor -inf x) (#s(alt #s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) y)) (patch #s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) y)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
((/ 100 (/ (+ y x) x)) (/ (+ y x) x) (+ y x) (/ (* x 100) (+ x y)) (/ (* 100 x) y) (* 100 x) (* (/ x (+ y x)) 100) (/ x (+ y x)) (/ x y) (/ x (* (+ y x) 1/100)) (* (+ y x) 1/100) (* 1/100 x) (/ x (* (+ y x) 1/100)) (* (+ y x) 1/100) (* 1/100 y))
1.0ms
x
@inf
((/ 100 (/ (+ y x) x)) (/ (+ y x) x) (+ y x) (/ (* x 100) (+ x y)) (/ (* 100 x) y) (* 100 x) (* (/ x (+ y x)) 100) (/ x (+ y x)) (/ x y) (/ x (* (+ y x) 1/100)) (* (+ y x) 1/100) (* 1/100 x) (/ x (* (+ y x) 1/100)) (* (+ y x) 1/100) (* 1/100 y))
1.0ms
y
@-inf
((/ 100 (/ (+ y x) x)) (/ (+ y x) x) (+ y x) (/ (* x 100) (+ x y)) (/ (* 100 x) y) (* 100 x) (* (/ x (+ y x)) 100) (/ x (+ y x)) (/ x y) (/ x (* (+ y x) 1/100)) (* (+ y x) 1/100) (* 1/100 x) (/ x (* (+ y x) 1/100)) (* (+ y x) 1/100) (* 1/100 y))
1.0ms
y
@0
((/ 100 (/ (+ y x) x)) (/ (+ y x) x) (+ y x) (/ (* x 100) (+ x y)) (/ (* 100 x) y) (* 100 x) (* (/ x (+ y x)) 100) (/ x (+ y x)) (/ x y) (/ x (* (+ y x) 1/100)) (* (+ y x) 1/100) (* 1/100 x) (/ x (* (+ y x) 1/100)) (* (+ y x) 1/100) (* 1/100 y))
1.0ms
y
@inf
((/ 100 (/ (+ y x) x)) (/ (+ y x) x) (+ y x) (/ (* x 100) (+ x y)) (/ (* 100 x) y) (* 100 x) (* (/ x (+ y x)) 100) (/ x (+ y x)) (/ x y) (/ x (* (+ y x) 1/100)) (* (+ y x) 1/100) (* 1/100 x) (/ x (* (+ y x) 1/100)) (* (+ y x) 1/100) (* 1/100 y))

simplify750.0ms (12.7%)

Memory
12.8MiB live, 128.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02412723
17422680
218472546
363952544
081062411
Stop Event
iter limit
node limit
Counts
324 → 318
Calls
Call 1
Inputs
100
(+ 100 (* -100 (/ y x)))
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x)))))
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))))
1
(+ 1 (/ y x))
(+ 1 (/ y x))
(+ 1 (/ y x))
x
(+ x y)
(+ x y)
(+ x y)
100
(+ 100 (* -100 (/ y x)))
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x)))))
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
100
(+ 100 (* -100 (/ y x)))
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x)))))
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))))
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
100
(+ 100 (* -100 (/ y x)))
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x)))))
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))))
(* 1/100 x)
(+ (* 1/100 x) (* 1/100 y))
(+ (* 1/100 x) (* 1/100 y))
(+ (* 1/100 x) (* 1/100 y))
100
(+ 100 (* -100 (/ y x)))
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x)))))
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))))
(* 1/100 x)
(+ (* 1/100 x) (* 1/100 y))
(+ (* 1/100 x) (* 1/100 y))
(+ (* 1/100 x) (* 1/100 y))
(* 1/100 y)
(* 1/100 y)
(* 1/100 y)
(* 1/100 y)
(* 100 (/ x y))
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y)
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y)
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y)
(/ y x)
(* y (+ (/ 1 x) (/ 1 y)))
(* y (+ (/ 1 x) (/ 1 y)))
(* y (+ (/ 1 x) (/ 1 y)))
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* 100 (/ x y))
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y)
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y)
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y)
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y)
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y)
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y)
(/ x y)
(/ (+ x (* -1 (/ (pow x 2) y))) y)
(/ (- (+ x (/ (pow x 3) (pow y 2))) (/ (pow x 2) y)) y)
(/ (- (+ x (* -1 (/ (pow x 4) (pow y 3)))) (+ (* -1 (/ (pow x 3) (pow y 2))) (/ (pow x 2) y))) y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* 100 (/ x y))
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y)
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y)
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y)
(* 1/100 y)
(* y (+ 1/100 (* 1/100 (/ x y))))
(* y (+ 1/100 (* 1/100 (/ x y))))
(* y (+ 1/100 (* 1/100 (/ x y))))
(* 100 (/ x y))
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y)
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y)
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y)
(* 1/100 y)
(* y (+ 1/100 (* 1/100 (/ x y))))
(* y (+ 1/100 (* 1/100 (/ x y))))
(* y (+ 1/100 (* 1/100 (/ x y))))
(* 1/100 y)
(* 1/100 y)
(* 1/100 y)
(* 1/100 y)
(* 100 (/ x y))
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y))
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y))
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y))
(/ y x)
(* y (+ (/ 1 x) (/ 1 y)))
(* y (+ (/ 1 x) (/ 1 y)))
(* y (+ (/ 1 x) (/ 1 y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* 100 (/ x y))
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y))
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y))
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y))
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y))
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y))
(/ x y)
(* -1 (/ (+ (* -1 x) (/ (pow x 2) y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (pow x 3) y) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ (pow x 4) y) (pow x 3)) y)) (pow x 2)) y))) y))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* 100 (/ x y))
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y))
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y))
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y))
(* 1/100 y)
(* -1 (* y (- (* -1/100 (/ x y)) 1/100)))
(* -1 (* y (- (* -1/100 (/ x y)) 1/100)))
(* -1 (* y (- (* -1/100 (/ x y)) 1/100)))
(* 100 (/ x y))
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y))
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y))
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y))
(* 1/100 y)
(* -1 (* y (- (* -1/100 (/ x y)) 1/100)))
(* -1 (* y (- (* -1/100 (/ x y)) 1/100)))
(* -1 (* y (- (* -1/100 (/ x y)) 1/100)))
(* 1/100 y)
(* 1/100 y)
(* 1/100 y)
(* 1/100 y)
(* 100 (/ x y))
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y))))
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))
(/ y x)
(/ (+ x y) x)
(/ (+ x y) x)
(/ (+ x y) x)
y
(+ x y)
(+ x y)
(+ x y)
(* 100 (/ x y))
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y))))
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 x)
(* 100 x)
(* 100 x)
(* 100 x)
(* 100 (/ x y))
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y))))
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))
(/ x y)
(* x (+ (* -1 (/ x (pow y 2))) (/ 1 y)))
(* x (+ (* x (- (/ x (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* 100 (/ x y))
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y))))
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))
(* 1/100 y)
(+ (* 1/100 x) (* 1/100 y))
(+ (* 1/100 x) (* 1/100 y))
(+ (* 1/100 x) (* 1/100 y))
(* 1/100 x)
(* 1/100 x)
(* 1/100 x)
(* 1/100 x)
(* 100 (/ x y))
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y))))
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))
(* 1/100 y)
(+ (* 1/100 x) (* 1/100 y))
(+ (* 1/100 x) (* 1/100 y))
(+ (* 1/100 x) (* 1/100 y))
100
(+ 100 (* -100 (/ y x)))
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x)))
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x))))
1
(+ 1 (/ y x))
(+ 1 (/ y x))
(+ 1 (/ y x))
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
100
(+ 100 (* -100 (/ y x)))
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x)))
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x))))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 x)
(* 100 x)
(* 100 x)
(* 100 x)
100
(+ 100 (* -100 (/ y x)))
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x)))
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x))))
1
(+ 1 (* -1 (/ y x)))
(- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))
(- (+ 1 (* -1 (/ (pow y 3) (pow x 3)))) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
100
(+ 100 (* -100 (/ y x)))
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x)))
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x))))
(* 1/100 x)
(* x (+ 1/100 (* 1/100 (/ y x))))
(* x (+ 1/100 (* 1/100 (/ y x))))
(* x (+ 1/100 (* 1/100 (/ y x))))
(* 1/100 x)
(* 1/100 x)
(* 1/100 x)
(* 1/100 x)
100
(+ 100 (* -100 (/ y x)))
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x)))
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x))))
(* 1/100 x)
(* x (+ 1/100 (* 1/100 (/ y x))))
(* x (+ 1/100 (* 1/100 (/ y x))))
(* x (+ 1/100 (* 1/100 (/ y x))))
100
(+ 100 (* -100 (/ y x)))
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x)))
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x)))
1
(+ 1 (/ y x))
(+ 1 (/ y x))
(+ 1 (/ y x))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
100
(+ 100 (* -100 (/ y x)))
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x)))
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x)))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 x)
(* 100 x)
(* 100 x)
(* 100 x)
100
(+ 100 (* -100 (/ y x)))
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x)))
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x)))
1
(+ 1 (* -1 (/ y x)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow y 3) x)) (* -1 (pow y 2))) x)) (* -1 y)) x)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
100
(+ 100 (* -100 (/ y x)))
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x)))
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x)))
(* 1/100 x)
(* -1 (* x (- (* -1/100 (/ y x)) 1/100)))
(* -1 (* x (- (* -1/100 (/ y x)) 1/100)))
(* -1 (* x (- (* -1/100 (/ y x)) 1/100)))
(* 1/100 x)
(* 1/100 x)
(* 1/100 x)
(* 1/100 x)
100
(+ 100 (* -100 (/ y x)))
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x)))
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x)))
(* 1/100 x)
(* -1 (* x (- (* -1/100 (/ y x)) 1/100)))
(* -1 (* x (- (* -1/100 (/ y x)) 1/100)))
(* -1 (* x (- (* -1/100 (/ y x)) 1/100)))
Outputs
100
#s(literal 100 binary64)
(+ 100 (* -100 (/ y x)))
(fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x)))))
(fma.f64 #s(literal -100 binary64) (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x) #s(literal 100 binary64))
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))))
(fma.f64 #s(literal -100 binary64) (/.f64 (-.f64 y (/.f64 (fma.f64 y y (/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) x)) x)) x) #s(literal 100 binary64))
1
#s(literal 1 binary64)
(+ 1 (/ y x))
(-.f64 (/.f64 y x) #s(literal -1 binary64))
(+ 1 (/ y x))
(-.f64 (/.f64 y x) #s(literal -1 binary64))
(+ 1 (/ y x))
(-.f64 (/.f64 y x) #s(literal -1 binary64))
x
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
100
#s(literal 100 binary64)
(+ 100 (* -100 (/ y x)))
(fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x)))))
(fma.f64 #s(literal -100 binary64) (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x) #s(literal 100 binary64))
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))))
(fma.f64 #s(literal -100 binary64) (/.f64 (-.f64 y (/.f64 (fma.f64 y y (/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) x)) x)) x) #s(literal 100 binary64))
(* 100 (/ x y))
(*.f64 (/.f64 #s(literal 100 binary64) y) x)
(* 100 (/ x y))
(*.f64 (/.f64 #s(literal 100 binary64) y) x)
(* 100 (/ x y))
(*.f64 (/.f64 #s(literal 100 binary64) y) x)
(* 100 (/ x y))
(*.f64 (/.f64 #s(literal 100 binary64) y) x)
100
#s(literal 100 binary64)
(+ 100 (* -100 (/ y x)))
(fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x)))))
(fma.f64 #s(literal -100 binary64) (/.f64 (fma.f64 (neg.f64 y) (/.f64 y x) y) x) #s(literal 100 binary64))
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))))
(fma.f64 #s(literal -100 binary64) (/.f64 (-.f64 y (/.f64 (fma.f64 y y (/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) x)) x)) x) #s(literal 100 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ y x)))
(-.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (* y (- (/ y (pow x 2)) (/ 1 x))))
(fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x))))
(fma.f64 (/.f64 y x) (-.f64 (/.f64 y x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
100
#s(literal 100 binary64)
(+ 100 (* -100 (/ y x)))
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100
#s(literal 100 binary64)
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(*.f64 (+.f64 x y) #s(literal 1/100 binary64))
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rewrite413.0ms (7%)

Memory
-16.9MiB live, 95.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025105
036105
1121105
2632105
36155105
08057105
Stop Event
iter limit
node limit
iter limit
Counts
15 → 597
Calls
Call 1
Inputs
(/.f64 #s(literal 100 binary64) (/.f64 (+.f64 y x) x))
(/.f64 (+.f64 y x) x)
(+.f64 y x)
#s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y))
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(*.f64 #s(literal 100 binary64) x)
(*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64))
#s(approx (/ x (+ y x)) (/.f64 x y))
(/.f64 x y)
(/.f64 x #s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) x)))
#s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) x))
(*.f64 #s(literal 1/100 binary64) x)
(/.f64 x #s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) y)))
#s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) y))
(*.f64 #s(literal 1/100 binary64) y)
Outputs
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eval621.0ms (10.5%)

Memory
42.4MiB live, 192.9MiB allocated
Compiler

Compiled 12 763 to 1 789 computations (86% saved)

prune96.0ms (1.6%)

Memory
-32.3MiB live, 58.2MiB allocated
Pruning

11 alts after pruning (2 fresh and 9 done)

PrunedKeptTotal
New9141915
Fresh011
Picked145
Done055
Total91511926
Accuracy
100.0%
Counts
926 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))
50.8%
(/.f64 x #s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) y)))
49.4%
(/.f64 x #s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) x)))
50.5%
(/.f64 #s(literal 100 binary64) #s(approx (/ (+ y x) x) (/.f64 y x)))
99.8%
(*.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64))
50.8%
(*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64))
49.1%
#s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)))
50.8%
#s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y))
50.8%
#s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x))
50.7%
#s(approx (/ (* x 100) (+ x y)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) x))
49.6%
#s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64))
Compiler

Compiled 67 to 67 computations (0% saved)

simplify46.0ms (0.8%)

Memory
8.3MiB live, 45.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 y x)
cost-diff0
#s(approx (/ (+ y x) x) (/.f64 y x))
cost-diff0
(/.f64 #s(literal 100 binary64) #s(approx (/ (+ y x) x) (/.f64 y x)))
cost-diff0
(/.f64 #s(literal -1 binary64) y)
cost-diff0
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) x)
cost-diff0
#s(approx (/ (* x 100) (+ x y)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) x))
cost-diff320
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01760
02254
13254
24654
36154
48454
512454
617054
721454
828354
935554
1070254
11134854
12147154
13150154
14153654
15156154
0156154
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (/ (* x 100) (+ x y)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) x))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) x)
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
#s(literal -100 binary64)
x
(/.f64 #s(literal 100 binary64) #s(approx (/ (+ y x) x) (/.f64 y x)))
#s(literal 100 binary64)
#s(approx (/ (+ y x) x) (/.f64 y x))
(/.f64 y x)
y
x
Outputs
#s(approx (/ (* x 100) (+ x y)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) x))
#s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) x)
(/.f64 (*.f64 #s(literal 100 binary64) x) y)
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64))
(/.f64 #s(literal 100 binary64) y)
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
#s(literal -100 binary64)
x
(/.f64 #s(literal 100 binary64) #s(approx (/ (+ y x) x) (/.f64 y x)))
#s(literal 100 binary64)
#s(approx (/ (+ y x) x) (/.f64 y x))
(/.f64 y x)
y
x

localize46.0ms (0.8%)

Memory
-4.9MiB live, 76.7MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 y x)
accuracy0.324183651240154
(/.f64 #s(literal 100 binary64) #s(approx (/ (+ y x) x) (/.f64 y x)))
accuracy31.1709234295959
#s(approx (/ (+ y x) x) (/.f64 y x))
accuracy0
(/.f64 #s(literal -1 binary64) y)
accuracy0.1953125
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) x)
accuracy0.375
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64))
accuracy31.40617571683355
#s(approx (/ (* x 100) (+ x y)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) x))
Samples
38.0ms256×0valid
Compiler

Compiled 46 to 17 computations (63% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 12.0ms (47.3% of total)
ival-div: 8.0ms (31.5% of total)
ival-add: 4.0ms (15.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series14.0ms (0.2%)

Memory
-9.8MiB live, 28.3MiB allocated
Counts
7 → 144
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* x 100) (+ x y)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) x)) (patch #s(approx (/ (* x 100) (+ x y)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) x) (patch (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 100 binary64) #s(approx (/ (+ y x) x) (/.f64 y x))) (patch (/.f64 #s(literal 100 binary64) #s(approx (/ (+ y x) x) (/.f64 y x))) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ y x) x) (/.f64 y x)) (patch #s(approx (/ (+ y x) x) (/.f64 y x)) #<representation binary64>) () ())
#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())
Outputs
#s(alt (/ 100 y) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 100 y) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 100 y) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 100 y) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) #<representation binary64>) () ())) ())
#s(alt 100 (taylor 0 y) (#s(alt #s(approx (/ (* x 100) (+ x y)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) x)) (patch #s(approx (/ (* x 100) (+ x y)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* -100 (/ y x))) (taylor 0 y) (#s(alt #s(approx (/ (* x 100) (+ x y)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) x)) (patch #s(approx (/ (* x 100) (+ x y)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (* x 100) (+ x y)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) x)) (patch #s(approx (/ (* x 100) (+ x y)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (* x 100) (+ x y)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) x)) (patch #s(approx (/ (* x 100) (+ x y)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) x) (patch (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) x) (patch (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) x) (patch (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) x) (patch (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt 100 (taylor 0 y) (#s(alt (/.f64 #s(literal 100 binary64) #s(approx (/ (+ y x) x) (/.f64 y x))) (patch (/.f64 #s(literal 100 binary64) #s(approx (/ (+ y x) x) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* -100 (/ y x))) (taylor 0 y) (#s(alt (/.f64 #s(literal 100 binary64) #s(approx (/ (+ y x) x) (/.f64 y x))) (patch (/.f64 #s(literal 100 binary64) #s(approx (/ (+ y x) x) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x))))) (taylor 0 y) (#s(alt (/.f64 #s(literal 100 binary64) #s(approx (/ (+ y x) x) (/.f64 y x))) (patch (/.f64 #s(literal 100 binary64) #s(approx (/ (+ y x) x) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x))))) (taylor 0 y) (#s(alt (/.f64 #s(literal 100 binary64) #s(approx (/ (+ y x) x) (/.f64 y x))) (patch (/.f64 #s(literal 100 binary64) #s(approx (/ (+ y x) x) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (/ (+ y x) x) (/.f64 y x)) (patch #s(approx (/ (+ y x) x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ y x)) (taylor 0 y) (#s(alt #s(approx (/ (+ y x) x) (/.f64 y x)) (patch #s(approx (/ (+ y x) x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ y x)) (taylor 0 y) (#s(alt #s(approx (/ (+ y x) x) (/.f64 y x)) (patch #s(approx (/ (+ y x) x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ y x)) (taylor 0 y) (#s(alt #s(approx (/ (+ y x) x) (/.f64 y x)) (patch #s(approx (/ (+ y x) x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor 0 y) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ 100 y) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) #<representation binary64>) () ())) ())
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#s(alt (+ 100 (* -100 (/ y x))) (taylor inf x) (#s(alt (/.f64 #s(literal 100 binary64) #s(approx (/ (+ y x) x) (/.f64 y x))) (patch (/.f64 #s(literal 100 binary64) #s(approx (/ (+ y x) x) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x))) (taylor inf x) (#s(alt (/.f64 #s(literal 100 binary64) #s(approx (/ (+ y x) x) (/.f64 y x))) (patch (/.f64 #s(literal 100 binary64) #s(approx (/ (+ y x) x) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x)))) (taylor inf x) (#s(alt (/.f64 #s(literal 100 binary64) #s(approx (/ (+ y x) x) (/.f64 y x))) (patch (/.f64 #s(literal 100 binary64) #s(approx (/ (+ y x) x) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf x) (#s(alt #s(approx (/ (+ y x) x) (/.f64 y x)) (patch #s(approx (/ (+ y x) x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ y x)) (taylor inf x) (#s(alt #s(approx (/ (+ y x) x) (/.f64 y x)) (patch #s(approx (/ (+ y x) x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ y x)) (taylor inf x) (#s(alt #s(approx (/ (+ y x) x) (/.f64 y x)) (patch #s(approx (/ (+ y x) x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ y x)) (taylor inf x) (#s(alt #s(approx (/ (+ y x) x) (/.f64 y x)) (patch #s(approx (/ (+ y x) x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt 100 (taylor -inf x) (#s(alt #s(approx (/ (* x 100) (+ x y)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) x)) (patch #s(approx (/ (* x 100) (+ x y)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* -100 (/ y x))) (taylor -inf x) (#s(alt #s(approx (/ (* x 100) (+ x y)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) x)) (patch #s(approx (/ (* x 100) (+ x y)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) (taylor -inf x) (#s(alt #s(approx (/ (* x 100) (+ x y)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) x)) (patch #s(approx (/ (* x 100) (+ x y)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) (taylor -inf x) (#s(alt #s(approx (/ (* x 100) (+ x y)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) x)) (patch #s(approx (/ (* x 100) (+ x y)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) x) (patch (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) x) (patch (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) x) (patch (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 100 (/ x y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) x) (patch (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) x) #<representation binary64>) () ())) ())
#s(alt 100 (taylor -inf x) (#s(alt (/.f64 #s(literal 100 binary64) #s(approx (/ (+ y x) x) (/.f64 y x))) (patch (/.f64 #s(literal 100 binary64) #s(approx (/ (+ y x) x) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* -100 (/ y x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 100 binary64) #s(approx (/ (+ y x) x) (/.f64 y x))) (patch (/.f64 #s(literal 100 binary64) #s(approx (/ (+ y x) x) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 100 binary64) #s(approx (/ (+ y x) x) (/.f64 y x))) (patch (/.f64 #s(literal 100 binary64) #s(approx (/ (+ y x) x) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt (+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x))) (taylor -inf x) (#s(alt (/.f64 #s(literal 100 binary64) #s(approx (/ (+ y x) x) (/.f64 y x))) (patch (/.f64 #s(literal 100 binary64) #s(approx (/ (+ y x) x) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf x) (#s(alt #s(approx (/ (+ y x) x) (/.f64 y x)) (patch #s(approx (/ (+ y x) x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ y x)) (taylor -inf x) (#s(alt #s(approx (/ (+ y x) x) (/.f64 y x)) (patch #s(approx (/ (+ y x) x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ y x)) (taylor -inf x) (#s(alt #s(approx (/ (+ y x) x) (/.f64 y x)) (patch #s(approx (/ (+ y x) x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ y x)) (taylor -inf x) (#s(alt #s(approx (/ (+ y x) x) (/.f64 y x)) (patch #s(approx (/ (+ y x) x) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@0
((* (/ -1 y) -100) (/ (* x 100) (+ x y)) (* (* (/ -1 y) -100) x) (/ -1 y) (/ 100 (/ (+ y x) x)) (/ (+ y x) x) (/ y x))
1.0ms
y
@-inf
((* (/ -1 y) -100) (/ (* x 100) (+ x y)) (* (* (/ -1 y) -100) x) (/ -1 y) (/ 100 (/ (+ y x) x)) (/ (+ y x) x) (/ y x))
1.0ms
y
@inf
((* (/ -1 y) -100) (/ (* x 100) (+ x y)) (* (* (/ -1 y) -100) x) (/ -1 y) (/ 100 (/ (+ y x) x)) (/ (+ y x) x) (/ y x))
1.0ms
x
@-inf
((* (/ -1 y) -100) (/ (* x 100) (+ x y)) (* (* (/ -1 y) -100) x) (/ -1 y) (/ 100 (/ (+ y x) x)) (/ (+ y x) x) (/ y x))
1.0ms
x
@0
((* (/ -1 y) -100) (/ (* x 100) (+ x y)) (* (* (/ -1 y) -100) x) (/ -1 y) (/ 100 (/ (+ y x) x)) (/ (+ y x) x) (/ y x))

simplify176.0ms (3%)

Memory
26.4MiB live, 307.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01361064
13671054
28971014
32288986
47005982
08376920
Stop Event
iter limit
node limit
Counts
144 → 144
Calls
Call 1
Inputs
(/ 100 y)
(/ 100 y)
(/ 100 y)
(/ 100 y)
100
(+ 100 (* -100 (/ y x)))
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x)))))
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
100
(+ 100 (* -100 (/ y x)))
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x)))))
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))))
1
(+ 1 (/ y x))
(+ 1 (/ y x))
(+ 1 (/ y x))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ 100 y)
(/ 100 y)
(/ 100 y)
(/ 100 y)
(* 100 (/ x y))
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y)
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y)
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y)
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(* 100 (/ x y))
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y)
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y)
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y)
(/ y x)
(* y (+ (/ 1 x) (/ 1 y)))
(* y (+ (/ 1 x) (/ 1 y)))
(* y (+ (/ 1 x) (/ 1 y)))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(/ 100 y)
(/ 100 y)
(/ 100 y)
(/ 100 y)
(* 100 (/ x y))
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y))
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y))
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(* 100 (/ x y))
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y))
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y))
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y))
(/ y x)
(* y (+ (/ 1 x) (/ 1 y)))
(* y (+ (/ 1 x) (/ 1 y)))
(* y (+ (/ 1 x) (/ 1 y)))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(* 100 (/ x y))
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y))))
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y))))
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))
(/ y x)
(/ (+ x y) x)
(/ (+ x y) x)
(/ (+ x y) x)
(/ y x)
(/ y x)
(/ y x)
(/ y x)
100
(+ 100 (* -100 (/ y x)))
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x)))
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x))))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
100
(+ 100 (* -100 (/ y x)))
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x)))
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x))))
1
(+ 1 (/ y x))
(+ 1 (/ y x))
(+ 1 (/ y x))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
100
(+ 100 (* -100 (/ y x)))
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x)))
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x)))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
(* 100 (/ x y))
100
(+ 100 (* -100 (/ y x)))
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x)))
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x)))
1
(+ 1 (/ y x))
(+ 1 (/ y x))
(+ 1 (/ y x))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
Outputs
(/ 100 y)
(/.f64 #s(literal 100 binary64) y)
(/ 100 y)
(/.f64 #s(literal 100 binary64) y)
(/ 100 y)
(/.f64 #s(literal 100 binary64) y)
(/ 100 y)
(/.f64 #s(literal 100 binary64) y)
100
#s(literal 100 binary64)
(+ 100 (* -100 (/ y x)))
(fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x)))))
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) #s(literal 100 binary64))
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) (-.f64 (*.f64 (/.f64 y x) y) y) y) x) #s(literal -100 binary64) #s(literal 100 binary64))
(* 100 (/ x y))
(*.f64 (/.f64 #s(literal 100 binary64) y) x)
(* 100 (/ x y))
(*.f64 (/.f64 #s(literal 100 binary64) y) x)
(* 100 (/ x y))
(*.f64 (/.f64 #s(literal 100 binary64) y) x)
(* 100 (/ x y))
(*.f64 (/.f64 #s(literal 100 binary64) y) x)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
100
#s(literal 100 binary64)
(+ 100 (* -100 (/ y x)))
(fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))
(+ 100 (* y (- (* 100 (/ y (pow x 2))) (* 100 (/ 1 x)))))
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) #s(literal 100 binary64))
(+ 100 (* y (- (* y (+ (* -100 (/ y (pow x 3))) (* 100 (/ 1 (pow x 2))))) (* 100 (/ 1 x)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) (-.f64 (*.f64 (/.f64 y x) y) y) y) x) #s(literal -100 binary64) #s(literal 100 binary64))
1
#s(literal 1 binary64)
(+ 1 (/ y x))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (/ y x))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (/ y x))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ 100 y)
(/.f64 #s(literal 100 binary64) y)
(/ 100 y)
(/.f64 #s(literal 100 binary64) y)
(/ 100 y)
(/.f64 #s(literal 100 binary64) y)
(/ 100 y)
(/.f64 #s(literal 100 binary64) y)
(* 100 (/ x y))
(*.f64 (/.f64 #s(literal 100 binary64) y) x)
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y)
(*.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -100 binary64) y) x #s(literal 100 binary64)))
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y)
(/.f64 (fma.f64 (*.f64 (/.f64 x y) x) (fma.f64 (/.f64 #s(literal 100 binary64) y) x #s(literal -100 binary64)) (*.f64 x #s(literal 100 binary64))) y)
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y)
(/.f64 (fma.f64 #s(literal -100 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) x) (*.f64 (*.f64 (/.f64 x y) x) (fma.f64 (/.f64 #s(literal 100 binary64) y) x #s(literal -100 binary64)))) y)
(* 100 (/ x y))
(*.f64 (/.f64 #s(literal 100 binary64) y) x)
(* 100 (/ x y))
(*.f64 (/.f64 #s(literal 100 binary64) y) x)
(* 100 (/ x y))
(*.f64 (/.f64 #s(literal 100 binary64) y) x)
(* 100 (/ x y))
(*.f64 (/.f64 #s(literal 100 binary64) y) x)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(* 100 (/ x y))
(*.f64 (/.f64 #s(literal 100 binary64) y) x)
(/ (+ (* -100 (/ (pow x 2) y)) (* 100 x)) y)
(*.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -100 binary64) y) x #s(literal 100 binary64)))
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2))))) y)
(/.f64 (fma.f64 (*.f64 (/.f64 x y) x) (fma.f64 (/.f64 #s(literal 100 binary64) y) x #s(literal -100 binary64)) (*.f64 x #s(literal 100 binary64))) y)
(/ (+ (* -100 (/ (pow x 2) y)) (+ (* -100 (/ (pow x 4) (pow y 3))) (+ (* 100 x) (* 100 (/ (pow x 3) (pow y 2)))))) y)
(/.f64 (fma.f64 #s(literal -100 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) x) (*.f64 (*.f64 (/.f64 x y) x) (fma.f64 (/.f64 #s(literal 100 binary64) y) x #s(literal -100 binary64)))) y)
(/ y x)
(/.f64 y x)
(* y (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(* y (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(* y (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ 100 y)
(/.f64 #s(literal 100 binary64) y)
(/ 100 y)
(/.f64 #s(literal 100 binary64) y)
(/ 100 y)
(/.f64 #s(literal 100 binary64) y)
(/ 100 y)
(/.f64 #s(literal 100 binary64) y)
(* 100 (/ x y))
(*.f64 (/.f64 #s(literal 100 binary64) y) x)
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y))
(*.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -100 binary64) y) x #s(literal 100 binary64)))
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y))
(/.f64 (fma.f64 x #s(literal 100 binary64) (/.f64 (*.f64 (*.f64 x x) (fma.f64 (/.f64 #s(literal 100 binary64) y) x #s(literal -100 binary64))) y)) y)
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y))
(/.f64 (fma.f64 x #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 x #s(literal -100 binary64)) x (/.f64 (*.f64 #s(literal -100 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64)))) y)) y)) y)
(* 100 (/ x y))
(*.f64 (/.f64 #s(literal 100 binary64) y) x)
(* 100 (/ x y))
(*.f64 (/.f64 #s(literal 100 binary64) y) x)
(* 100 (/ x y))
(*.f64 (/.f64 #s(literal 100 binary64) y) x)
(* 100 (/ x y))
(*.f64 (/.f64 #s(literal 100 binary64) y) x)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(* 100 (/ x y))
(*.f64 (/.f64 #s(literal 100 binary64) y) x)
(* -1 (/ (+ (* -100 x) (* 100 (/ (pow x 2) y))) y))
(*.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -100 binary64) y) x #s(literal 100 binary64)))
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* 100 (/ (pow x 3) y))) y))) y))
(/.f64 (fma.f64 x #s(literal 100 binary64) (/.f64 (*.f64 (*.f64 x x) (fma.f64 (/.f64 #s(literal 100 binary64) y) x #s(literal -100 binary64))) y)) y)
(* -1 (/ (+ (* -100 x) (* -1 (/ (+ (* -100 (pow x 2)) (* -1 (/ (+ (* -100 (pow x 3)) (* 100 (/ (pow x 4) y))) y))) y))) y))
(/.f64 (fma.f64 x #s(literal 100 binary64) (/.f64 (fma.f64 (*.f64 x #s(literal -100 binary64)) x (/.f64 (*.f64 #s(literal -100 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64)))) y)) y)) y)
(/ y x)
(/.f64 y x)
(* y (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(* y (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(* y (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(* 100 (/ x y))
(*.f64 (/.f64 #s(literal 100 binary64) y) x)
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y))))
(*.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -100 binary64) y) x #s(literal 100 binary64)))
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))
(*.f64 (fma.f64 (/.f64 (/.f64 x y) y) (fma.f64 (/.f64 #s(literal 100 binary64) y) x #s(literal -100 binary64)) (/.f64 #s(literal 100 binary64) y)) x)
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal -100 binary64) (/.f64 #s(literal 100 binary64) (pow.f64 y #s(literal 3 binary64)))) x (/.f64 #s(literal -100 binary64) (*.f64 y y))) x (/.f64 #s(literal 100 binary64) y)) x)
(* 100 (/ x y))
(*.f64 (/.f64 #s(literal 100 binary64) y) x)
(* 100 (/ x y))
(*.f64 (/.f64 #s(literal 100 binary64) y) x)
(* 100 (/ x y))
(*.f64 (/.f64 #s(literal 100 binary64) y) x)
(* 100 (/ x y))
(*.f64 (/.f64 #s(literal 100 binary64) y) x)
(* 100 (/ x y))
(*.f64 (/.f64 #s(literal 100 binary64) y) x)
(* x (+ (* -100 (/ x (pow y 2))) (* 100 (/ 1 y))))
(*.f64 (/.f64 x y) (fma.f64 (/.f64 #s(literal -100 binary64) y) x #s(literal 100 binary64)))
(* x (+ (* x (- (* 100 (/ x (pow y 3))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))
(*.f64 (fma.f64 (/.f64 (/.f64 x y) y) (fma.f64 (/.f64 #s(literal 100 binary64) y) x #s(literal -100 binary64)) (/.f64 #s(literal 100 binary64) y)) x)
(* x (+ (* x (- (* x (+ (* -100 (/ x (pow y 4))) (* 100 (/ 1 (pow y 3))))) (* 100 (/ 1 (pow y 2))))) (* 100 (/ 1 y))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal -100 binary64) (/.f64 #s(literal 100 binary64) (pow.f64 y #s(literal 3 binary64)))) x (/.f64 #s(literal -100 binary64) (*.f64 y y))) x (/.f64 #s(literal 100 binary64) y)) x)
(/ y x)
(/.f64 y x)
(/ (+ x y) x)
(/.f64 (+.f64 x y) x)
(/ (+ x y) x)
(/.f64 (+.f64 x y) x)
(/ (+ x y) x)
(/.f64 (+.f64 x y) x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
100
#s(literal 100 binary64)
(+ 100 (* -100 (/ y x)))
(fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x)))
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) #s(literal 100 binary64))
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x))))
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) (-.f64 (*.f64 (/.f64 y x) y) y) y) x) #s(literal -100 binary64) #s(literal 100 binary64))
(* 100 (/ x y))
(*.f64 (/.f64 #s(literal 100 binary64) y) x)
(* 100 (/ x y))
(*.f64 (/.f64 #s(literal 100 binary64) y) x)
(* 100 (/ x y))
(*.f64 (/.f64 #s(literal 100 binary64) y) x)
(* 100 (/ x y))
(*.f64 (/.f64 #s(literal 100 binary64) y) x)
100
#s(literal 100 binary64)
(+ 100 (* -100 (/ y x)))
(fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))
(- (+ 100 (* 100 (/ (pow y 2) (pow x 2)))) (* 100 (/ y x)))
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) #s(literal 100 binary64))
(- (+ 100 (* -100 (/ (pow y 3) (pow x 3)))) (+ (* -100 (/ (pow y 2) (pow x 2))) (* 100 (/ y x))))
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) (-.f64 (*.f64 (/.f64 y x) y) y) y) x) #s(literal -100 binary64) #s(literal 100 binary64))
1
#s(literal 1 binary64)
(+ 1 (/ y x))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (/ y x))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (/ y x))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
100
#s(literal 100 binary64)
(+ 100 (* -100 (/ y x)))
(fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x)))
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) #s(literal 100 binary64))
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x)))
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) (-.f64 (*.f64 (/.f64 y x) y) y) y) x) #s(literal -100 binary64) #s(literal 100 binary64))
(* 100 (/ x y))
(*.f64 (/.f64 #s(literal 100 binary64) y) x)
(* 100 (/ x y))
(*.f64 (/.f64 #s(literal 100 binary64) y) x)
(* 100 (/ x y))
(*.f64 (/.f64 #s(literal 100 binary64) y) x)
(* 100 (/ x y))
(*.f64 (/.f64 #s(literal 100 binary64) y) x)
100
#s(literal 100 binary64)
(+ 100 (* -100 (/ y x)))
(fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))
(+ 100 (* -1 (/ (- (* -100 (/ (pow y 2) x)) (* -100 y)) x)))
(fma.f64 (/.f64 y x) (fma.f64 (/.f64 #s(literal 100 binary64) x) y #s(literal -100 binary64)) #s(literal 100 binary64))
(+ 100 (* -1 (/ (- (* -1 (/ (- (* -100 (/ (pow y 3) x)) (* -100 (pow y 2))) x)) (* -100 y)) x)))
(fma.f64 (/.f64 (fma.f64 (/.f64 y x) (-.f64 (*.f64 (/.f64 y x) y) y) y) x) #s(literal -100 binary64) #s(literal 100 binary64))
1
#s(literal 1 binary64)
(+ 1 (/ y x))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (/ y x))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(+ 1 (/ y x))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)

rewrite236.0ms (4%)

Memory
-5.3MiB live, 198.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01753
02247
18947
251947
3515847
0807647
Stop Event
iter limit
node limit
iter limit
Counts
7 → 123
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64))
#s(approx (/ (* x 100) (+ x y)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) x))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) x)
(/.f64 #s(literal -1 binary64) y)
(/.f64 #s(literal 100 binary64) #s(approx (/ (+ y x) x) (/.f64 y x)))
#s(approx (/ (+ y x) x) (/.f64 y x))
(/.f64 y x)
Outputs
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eval61.0ms (1%)

Memory
-9.0MiB live, 66.3MiB allocated
Compiler

Compiled 2 373 to 445 computations (81.2% saved)

prune17.0ms (0.3%)

Memory
-11.5MiB live, 32.8MiB allocated
Pruning

11 alts after pruning (0 fresh and 11 done)

PrunedKeptTotal
New2670267
Fresh000
Picked022
Done099
Total26711278
Accuracy
100.0%
Counts
278 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))
50.8%
(/.f64 x #s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) y)))
49.4%
(/.f64 x #s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) x)))
50.5%
(/.f64 #s(literal 100 binary64) #s(approx (/ (+ y x) x) (/.f64 y x)))
99.8%
(*.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64))
50.8%
(*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64))
49.1%
#s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)))
50.8%
#s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y))
50.8%
#s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x))
50.7%
#s(approx (/ (* x 100) (+ x y)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) x))
49.6%
#s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64))
Compiler

Compiled 166 to 115 computations (30.7% saved)

regimes17.0ms (0.3%)

Memory
-8.4MiB live, 28.7MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
#s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64))
#s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x))
#s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y))
(*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64))
(/.f64 x #s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) x)))
(/.f64 x #s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) y)))
#s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)))
(*.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64))
(/.f64 x (*.f64 (+.f64 y x) #s(literal 1/100 binary64)))
(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))
#s(approx (/ (* x 100) (+ x y)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -100 binary64)) x))
(/.f64 #s(literal 100 binary64) #s(approx (/ (+ y x) x) (/.f64 y x)))
(*.f64 #s(literal -100 binary64) (*.f64 x (/.f64 #s(literal -1 binary64) (+.f64 y x))))
(/.f64 #s(literal 100 binary64) (/.f64 (+.f64 y x) x))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/100 binary64) (/.f64 (+.f64 y x) x)))
Outputs
(*.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64))
Calls

3 calls:

7.0ms
x
5.0ms
y
5.0ms
(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes9.0ms (0.2%)

Memory
24.8MiB live, 24.8MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64))
#s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x))
#s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y))
(*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64))
(/.f64 x #s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) x)))
(/.f64 x #s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) y)))
#s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)))
Outputs
#s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y))
#s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64)))
Calls

3 calls:

3.0ms
x
3.0ms
y
3.0ms
(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))
Results
AccuracySegmentsBranch
79.8%3x
77.2%3y
97.7%2(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes3.0ms (0%)

Memory
5.9MiB live, 5.9MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64))
#s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x))
#s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y))
(*.f64 #s(approx (/ x (+ y x)) (/.f64 x y)) #s(literal 100 binary64))
(/.f64 x #s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) x)))
(/.f64 x #s(approx (* (+ y x) 1/100) (*.f64 #s(literal 1/100 binary64) y)))
Outputs
#s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y))
#s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64))
Calls

1 calls:

2.0ms
(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))
Results
AccuracySegmentsBranch
96.9%2(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes2.0ms (0%)

Memory
3.8MiB live, 3.8MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64))
#s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x))
Outputs
#s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x))
#s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64))
Calls

1 calls:

1.0ms
(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))
Results
AccuracySegmentsBranch
96.9%2(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes7.0ms (0.1%)

Memory
-28.7MiB live, 9.5MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64))
Outputs
#s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64))
Calls

3 calls:

4.0ms
x
1.0ms
y
1.0ms
(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))
Results
AccuracySegmentsBranch
49.6%1y
49.6%1x
49.6%1(/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
37.490893262648314
99.99663490027618
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
37.490893262648314
99.99663490027618
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
37.490893262648314
99.99663490027618
Compiler

Compiled 10 to 11 computations (-10% saved)

simplify31.0ms (0.5%)

Memory
0.4MiB live, 38.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028117
131117
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64))
(if (<=.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #s(literal 50 binary64)) #s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y)) #s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))))
(if (<=.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #s(literal 50 binary64)) #s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y)) #s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)))
(if (<=.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #s(literal 50 binary64)) #s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) #s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)))
#s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64))
Outputs
(*.f64 (/.f64 x (+.f64 y x)) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 x (+.f64 y x)))
(if (<=.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #s(literal 50 binary64)) #s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y)) #s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))))
(if (<=.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 y x)) #s(literal 50 binary64)) #s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y)) #s(approx (/ (* x 100) (+ x y)) (fma.f64 (/.f64 #s(literal -100 binary64) x) y #s(literal 100 binary64))))
(if (<=.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #s(literal 50 binary64)) #s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y)) #s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)))
(if (<=.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 y x)) #s(literal 50 binary64)) #s(approx (/ (* x 100) (+ x y)) (/.f64 (*.f64 #s(literal 100 binary64) x) y)) #s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)))
(if (<=.f64 (/.f64 (*.f64 x #s(literal 100 binary64)) (+.f64 x y)) #s(literal 50 binary64)) #s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) #s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)))
(if (<=.f64 (/.f64 (*.f64 #s(literal 100 binary64) x) (+.f64 y x)) #s(literal 50 binary64)) #s(approx (/ (* x 100) (+ x y)) (*.f64 (/.f64 #s(literal 100 binary64) y) x)) #s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64)))
#s(approx (/ (* x 100) (+ x y)) #s(literal 100 binary64))

soundness586.0ms (9.9%)

Memory
3.3MiB live, 366.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
0913
13413
221813
3214413
0819513
02080
03080
111780
270280
3769380
0815680
0142445
1400440
2985420
33160406
47109406
08148375
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 125 to 76 computations (39.2% saved)

preprocess49.0ms (0.8%)

Memory
21.0MiB live, 95.5MiB allocated
Compiler

Compiled 168 to 74 computations (56% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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