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

Time bar (total: 6.1s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze13.0ms (0.2%)

Memory
-4.4MiB live, 33.1MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample899.0ms (14.8%)

Memory
10.7MiB live, 1 130.3MiB allocated
Samples
426.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 216.0ms
ival-add: 88.0ms (40.8% of total)
ival-mult: 63.0ms (29.2% of total)
ival-div: 50.0ms (23.2% of total)
ival-true: 6.0ms (2.8% of total)
exact: 5.0ms (2.3% of total)
ival-assert: 3.0ms (1.4% of total)
Bogosity

explain147.0ms (2.4%)

Memory
-20.0MiB live, 101.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
330-0-(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
00-0-(+.f64 y #s(literal 1 binary64))
00-0-y
00-0-#s(literal 1 binary64)
00-0-(*.f64 x y)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))o/n330
(*.f64 x y)overflow33
Confusion
Predicted +Predicted -
+330
-0223
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+3300
-00223
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0223
133
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
73.0ms512×0valid
Compiler

Compiled 45 to 22 computations (51.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 4.0ms (38.7% of total)
ival-div: 3.0ms (29% of total)
ival-add: 3.0ms (29% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess75.0ms (1.2%)

Memory
-4.7MiB live, 33.1MiB allocated
Algorithm
egg-herbie
Rules
486×times-frac
304×unsub-neg
238×distribute-lft-in
228×distribute-lft-neg-in
228×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01643
15037
214535
344335
4119035
5166735
6188235
7193835
8196635
9197035
067
097
1157
2187
3197
0197
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
Outputs
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
(*.f64 y (/.f64 x (+.f64 y #s(literal 1 binary64))))
Symmetry

(negabs x)

Compiler

Compiled 9 to 6 computations (33.3% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.9%
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify4.0ms (0.1%)

Memory
3.8MiB live, 3.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 y #s(literal 1 binary64))
cost-diff0
(*.f64 x y)
cost-diff0
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
Rules
12×lower-*.f32
10×lower-*.f64
*-commutative
lower-/.f32
associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

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

localize17.0ms (0.3%)

Memory
19.3MiB live, 19.3MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 y #s(literal 1 binary64))
accuracy0
(*.f64 x y)
accuracy7.764803527318606
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
Samples
11.0ms256×0valid
Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (39.6% of total)
ival-mult: 2.0ms (39.6% of total)
ival-add: 1.0ms (19.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series50.0ms (0.8%)

Memory
-30.1MiB live, 6.9MiB allocated
Counts
3 → 60
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))>
#<alt (*.f64 x y)>
#<alt (+.f64 y #s(literal 1 binary64))>
Outputs
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* y (+ x (* y (- (* x y) x))))>
#<alt (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))>
#<alt x>
#<alt (+ x (* -1 (/ x y)))>
#<alt (- (+ x (/ x (pow y 2))) (/ x y))>
#<alt (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))>
#<alt x>
#<alt (+ x (* -1 (/ x y)))>
#<alt (+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))>
#<alt (+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt 1>
#<alt (+ 1 y)>
#<alt (+ 1 y)>
#<alt (+ 1 y)>
#<alt y>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt y>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
Calls

15 calls:

TimeVariablePointExpression
44.0ms
y
@inf
(/ (* x y) (+ y 1))
1.0ms
y
@-inf
(/ (* x y) (+ y 1))
1.0ms
x
@0
(/ (* x y) (+ y 1))
1.0ms
y
@inf
(+ y 1)
1.0ms
x
@inf
(/ (* x y) (+ y 1))

simplify310.0ms (5.1%)

Memory
29.4MiB live, 233.0MiB allocated
Algorithm
egg-herbie
Rules
9 976×lower-fma.f64
9 976×lower-fma.f32
2 536×lower-*.f64
2 536×lower-*.f32
1 658×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046299
1135290
2274282
31008276
44085276
55964276
67080276
77763276
08010274
Stop Event
iter limit
node limit
Counts
60 → 56
Calls
Call 1
Inputs
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* y (- (* x y) x))))
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
x
(+ x (* -1 (/ x y)))
(- (+ x (/ x (pow y 2))) (/ x y))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
x
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
1
(+ 1 y)
(+ 1 y)
(+ 1 y)
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
Outputs
(/ (* x y) (+ 1 y))
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
(/ (* x y) (+ 1 y))
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
(/ (* x y) (+ 1 y))
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
(/ (* x y) (+ 1 y))
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
(/ (* x y) (+ 1 y))
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
(/ (* x y) (+ 1 y))
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
(/ (* x y) (+ 1 y))
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
(/ (* x y) (+ 1 y))
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
(/ (* x y) (+ 1 y))
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
(/ (* x y) (+ 1 y))
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
(/ (* x y) (+ 1 y))
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
(/ (* x y) (+ 1 y))
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
(* x y)
(*.f64 x y)
(* y (+ x (* -1 (* x y))))
(*.f64 x (fma.f64 y (neg.f64 y) y))
(* y (+ x (* y (- (* x y) x))))
(*.f64 y (fma.f64 x (-.f64 (*.f64 y y) y) x))
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
(*.f64 y (*.f64 (-.f64 x (*.f64 x y)) (fma.f64 y y #s(literal 1 binary64))))
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(- (+ x (/ x (pow y 2))) (/ x y))
(+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (+.f64 x (/.f64 x (*.f64 y y))))
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y))
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (+.f64 x (/.f64 x (*.f64 y y))))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
1
#s(literal 1 binary64)
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
y
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
y
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))

rewrite355.0ms (5.8%)

Memory
-23.9MiB live, 284.1MiB allocated
Rules
5 518×lower-/.f32
5 516×lower-/.f64
3 256×lower-*.f32
3 254×lower-*.f64
2 620×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
0913
13513
220313
3189113
0839613
Stop Event
iter limit
node limit
iter limit
Counts
3 → 336
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
(*.f64 x y)
(+.f64 y #s(literal 1 binary64))
Outputs
(+.f64 (*.f64 (*.f64 x (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (*.f64 y y)) (*.f64 (*.f64 x (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 (*.f64 x (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 x (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (*.f64 y y)))
(+.f64 (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) y) (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 y y) (*.f64 x (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))) (*.f64 (*.f64 y y) (*.f64 x (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))))
(+.f64 (*.f64 y (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 x y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x y) (-.f64 #s(literal -1 binary64) y)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 x y) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 x y) (-.f64 #s(literal -1 binary64) y)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 x y) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(-.f64 (/.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(fma.f64 y (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64)))))
(fma.f64 (*.f64 y y) (*.f64 x (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (*.f64 (*.f64 y y) (*.f64 x (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))))
(fma.f64 (*.f64 x (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (*.f64 y y) (*.f64 (*.f64 x (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) y)))
(fma.f64 (*.f64 x (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 x (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (*.f64 y y)))
(fma.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) y (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 x y) (-.f64 #s(literal -1 binary64) y)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (-.f64 #s(literal -1 binary64) y))))
(/.f64 x (/.f64 (+.f64 y #s(literal 1 binary64)) y))
(/.f64 y (/.f64 (+.f64 y #s(literal 1 binary64)) x))
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (*.f64 x (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y))))) (*.f64 (*.f64 x y) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))))))
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(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) (neg.f64 (fma.f64 y (*.f64 y (*.f64 y y)) (fma.f64 y y #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 y (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) (neg.f64 (fma.f64 y y #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (neg.f64 y)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y))) (*.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 y))))))
(/.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))) (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (-.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) (*.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (neg.f64 y)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 y)) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (fma.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y))))))
(pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))
(*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))
(*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y))
(*.f64 (fma.f64 (*.f64 y y) (neg.f64 y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))))
(*.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y)))))
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y))) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y))
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (fma.f64 y y (+.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 y y (+.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 y #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 y y)) (fma.f64 y y #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y (*.f64 y (*.f64 y y)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (/.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))

eval45.0ms (0.7%)

Memory
0.1MiB live, 84.1MiB allocated
Compiler

Compiled 8 392 to 1 037 computations (87.6% saved)

prune47.0ms (0.8%)

Memory
34.8MiB live, 110.8MiB allocated
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New3875392
Fresh000
Picked011
Done000
Total3876393
Accuracy
100.0%
Counts
393 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.9%
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
69.9%
(*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64)))
100.0%
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
53.3%
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
46.8%
#s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y)))
47.7%
#s(approx (/ (* x y) (+ y 1)) (*.f64 x y))
Compiler

Compiled 103 to 58 computations (43.7% saved)

simplify231.0ms (3.8%)

Memory
-21.3MiB live, 345.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 y y #s(literal -1 binary64))
cost-diff0
(*.f64 x y)
cost-diff0
(/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64)))
cost-diff704
(*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64)))
cost-diff0
(/.f64 x y)
cost-diff0
(-.f64 x (/.f64 x y))
cost-diff0
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
cost-diff0
(neg.f64 y)
cost-diff0
(fma.f64 y (neg.f64 y) y)
cost-diff0
(*.f64 x (fma.f64 y (neg.f64 y) y))
cost-diff0
#s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y)))
cost-diff0
(*.f64 x y)
cost-diff0
#s(approx (/ (* x y) (+ y 1)) (*.f64 x y))
cost-diff0
(+.f64 y #s(literal 1 binary64))
cost-diff0
(/.f64 y (+.f64 y #s(literal 1 binary64)))
cost-diff0
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
Rules
16 348×lower-fma.f32
16 344×lower-fma.f64
4 344×lower-*.f32
4 336×lower-*.f64
1 542×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023121
037116
171116
2152116
3422116
4877116
54048116
08390116
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
(/.f64 y (+.f64 y #s(literal 1 binary64)))
y
(+.f64 y #s(literal 1 binary64))
#s(literal 1 binary64)
x
#s(approx (/ (* x y) (+ y 1)) (*.f64 x y))
(*.f64 x y)
x
y
#s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y)))
(*.f64 x (fma.f64 y (neg.f64 y) y))
x
(fma.f64 y (neg.f64 y) y)
y
(neg.f64 y)
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
(-.f64 x (/.f64 x y))
x
(/.f64 x y)
y
(*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64)))
(/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64)))
(*.f64 x y)
x
y
(fma.f64 y y #s(literal -1 binary64))
#s(literal -1 binary64)
(+.f64 y #s(literal -1 binary64))
Outputs
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
(*.f64 y (/.f64 x (+.f64 y #s(literal 1 binary64))))
(/.f64 y (+.f64 y #s(literal 1 binary64)))
y
(+.f64 y #s(literal 1 binary64))
#s(literal 1 binary64)
x
#s(approx (/ (* x y) (+ y 1)) (*.f64 x y))
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))
(*.f64 x y)
(*.f64 y x)
x
y
#s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y)))
#s(approx (/ (* x y) (+ y 1)) (*.f64 y (fma.f64 x (neg.f64 y) x)))
(*.f64 x (fma.f64 y (neg.f64 y) y))
(*.f64 y (fma.f64 x (neg.f64 y) x))
x
(fma.f64 y (neg.f64 y) y)
y
(neg.f64 y)
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
(-.f64 x (/.f64 x y))
x
(/.f64 x y)
y
(*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64)))
(*.f64 y (/.f64 x (+.f64 y #s(literal 1 binary64))))
(/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64)))
(*.f64 y (/.f64 x (fma.f64 y y #s(literal -1 binary64))))
(*.f64 x y)
(*.f64 y x)
x
y
(fma.f64 y y #s(literal -1 binary64))
#s(literal -1 binary64)
(+.f64 y #s(literal -1 binary64))

localize60.0ms (1%)

Memory
1.4MiB live, 118.2MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 y #s(literal -1 binary64))
accuracy0
(*.f64 x y)
accuracy6.620053463884504
(*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64)))
accuracy12.492289537827943
(/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64)))
accuracy0
(/.f64 x y)
accuracy0.00390625
(-.f64 x (/.f64 x y))
accuracy29.9184784877056
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
accuracy0
(fma.f64 y (neg.f64 y) y)
accuracy0
(neg.f64 y)
accuracy4.0414446563984345
(*.f64 x (fma.f64 y (neg.f64 y) y))
accuracy34.03460383308844
#s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y)))
accuracy0
(*.f64 x y)
accuracy33.47181721915919
#s(approx (/ (* x y) (+ y 1)) (*.f64 x y))
accuracy0
(/.f64 y (+.f64 y #s(literal 1 binary64)))
accuracy0
(+.f64 y #s(literal 1 binary64))
accuracy0.01171875
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
Samples
37.0ms256×0valid
Compiler

Compiled 110 to 22 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 9.0ms (37.4% of total)
ival-div: 7.0ms (29.1% of total)
ival-add: 5.0ms (20.8% of total)
ival-sub: 1.0ms (4.2% of total)
ival-neg: 1.0ms (4.2% 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
-16.6MiB live, 24.9MiB allocated
Counts
16 → 312
Calls
Call 1
Inputs
#<alt (*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)>
#<alt (/.f64 y (+.f64 y #s(literal 1 binary64)))>
#<alt (+.f64 y #s(literal 1 binary64))>
#<alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x y))>
#<alt (*.f64 x y)>
#<alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y)))>
#<alt (*.f64 x (fma.f64 y (neg.f64 y) y))>
#<alt (fma.f64 y (neg.f64 y) y)>
#<alt (neg.f64 y)>
#<alt #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))>
#<alt (-.f64 x (/.f64 x y))>
#<alt (/.f64 x y)>
#<alt (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64)))>
#<alt (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64)))>
#<alt (fma.f64 y y #s(literal -1 binary64))>
#<alt (+.f64 y #s(literal -1 binary64))>
Outputs
#<alt (* x y)>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* y (+ x (* y (- (* x y) x))))>
#<alt (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))>
#<alt x>
#<alt (+ x (* -1 (/ x y)))>
#<alt (- (+ x (/ x (pow y 2))) (/ x y))>
#<alt (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))>
#<alt x>
#<alt (+ x (* -1 (/ x y)))>
#<alt (+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))>
#<alt (+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt y>
#<alt (* y (+ 1 (* -1 y)))>
#<alt (* y (+ 1 (* y (- y 1))))>
#<alt (* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))>
#<alt 1>
#<alt (- 1 (/ 1 y))>
#<alt (- (+ 1 (/ 1 (pow y 2))) (/ 1 y))>
#<alt (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))>
#<alt 1>
#<alt (- 1 (/ 1 y))>
#<alt (+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y)))>
#<alt 1>
#<alt (+ 1 y)>
#<alt (+ 1 y)>
#<alt (+ 1 y)>
#<alt y>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt y>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* y (+ x (* y (- (* x y) x))))>
#<alt (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))>
#<alt x>
#<alt (+ x (* -1 (/ x y)))>
#<alt (- (+ x (/ x (pow y 2))) (/ x y))>
#<alt (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))>
#<alt x>
#<alt (+ x (* -1 (/ x y)))>
#<alt (+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))>
#<alt (+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* y (+ x (* y (- (* x y) x))))>
#<alt (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))>
#<alt x>
#<alt (+ x (* -1 (/ x y)))>
#<alt (- (+ x (/ x (pow y 2))) (/ x y))>
#<alt (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))>
#<alt x>
#<alt (+ x (* -1 (/ x y)))>
#<alt (+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))>
#<alt (+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))>
#<alt (* x (+ y (* -1 (pow y 2))))>
#<alt (* x (+ y (* -1 (pow y 2))))>
#<alt (* x (+ y (* -1 (pow y 2))))>
#<alt (* x (+ y (* -1 (pow y 2))))>
#<alt (* x (+ y (* -1 (pow y 2))))>
#<alt (* x (+ y (* -1 (pow y 2))))>
#<alt (* x (+ y (* -1 (pow y 2))))>
#<alt (* x (+ y (* -1 (pow y 2))))>
#<alt (* x (+ y (* -1 (pow y 2))))>
#<alt (* x (+ y (* -1 (pow y 2))))>
#<alt (* x (+ y (* -1 (pow y 2))))>
#<alt (* x (+ y (* -1 (pow y 2))))>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt y>
#<alt (* y (+ 1 (* -1 y)))>
#<alt (* y (+ 1 (* -1 y)))>
#<alt (* y (+ 1 (* -1 y)))>
#<alt (* -1 (pow y 2))>
#<alt (* (pow y 2) (- (/ 1 y) 1))>
#<alt (* (pow y 2) (- (/ 1 y) 1))>
#<alt (* (pow y 2) (- (/ 1 y) 1))>
#<alt (* -1 (pow y 2))>
#<alt (* (pow y 2) (- (/ 1 y) 1))>
#<alt (* (pow y 2) (- (/ 1 y) 1))>
#<alt (* (pow y 2) (- (/ 1 y) 1))>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* y (+ x (* y (- (* x y) x))))>
#<alt (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))>
#<alt x>
#<alt (+ x (* -1 (/ x y)))>
#<alt (- (+ x (/ x (pow y 2))) (/ x y))>
#<alt (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))>
#<alt x>
#<alt (+ x (* -1 (/ x y)))>
#<alt (+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))>
#<alt (+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))>
#<alt (* x (- 1 (/ 1 y)))>
#<alt (* x (- 1 (/ 1 y)))>
#<alt (* x (- 1 (/ 1 y)))>
#<alt (* x (- 1 (/ 1 y)))>
#<alt (* x (- 1 (/ 1 y)))>
#<alt (* x (- 1 (/ 1 y)))>
#<alt (* x (- 1 (/ 1 y)))>
#<alt (* x (- 1 (/ 1 y)))>
#<alt (* -1 (* x (- (/ 1 y) 1)))>
#<alt (* -1 (* x (- (/ 1 y) 1)))>
#<alt (* -1 (* x (- (/ 1 y) 1)))>
#<alt (* -1 (* x (- (/ 1 y) 1)))>
#<alt (* -1 (/ x y))>
#<alt (/ (- (* x y) x) y)>
#<alt (/ (- (* x y) x) y)>
#<alt (/ (- (* x y) x) y)>
#<alt x>
#<alt (+ x (* -1 (/ x y)))>
#<alt (+ x (* -1 (/ x y)))>
#<alt (+ x (* -1 (/ x y)))>
#<alt x>
#<alt (+ x (* -1 (/ x y)))>
#<alt (+ x (* -1 (/ x y)))>
#<alt (+ x (* -1 (/ x y)))>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ x y)>
#<alt (/ (* x (* y (- y 1))) (- (pow y 2) 1))>
#<alt (/ (* x (* y (- y 1))) (- (pow y 2) 1))>
#<alt (/ (* x (* y (- y 1))) (- (pow y 2) 1))>
#<alt (/ (* x (* y (- y 1))) (- (pow y 2) 1))>
#<alt (/ (* x (* y (- y 1))) (- (pow y 2) 1))>
#<alt (/ (* x (* y (- y 1))) (- (pow y 2) 1))>
#<alt (/ (* x (* y (- y 1))) (- (pow y 2) 1))>
#<alt (/ (* x (* y (- y 1))) (- (pow y 2) 1))>
#<alt (/ (* x (* y (- y 1))) (- (pow y 2) 1))>
#<alt (/ (* x (* y (- y 1))) (- (pow y 2) 1))>
#<alt (/ (* x (* y (- y 1))) (- (pow y 2) 1))>
#<alt (/ (* x (* y (- y 1))) (- (pow y 2) 1))>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* y (+ x (* y (+ (* -1 x) (* x y)))))>
#<alt (* y (+ x (* y (+ (* -1 x) (* y (- (* -1 (* x y)) (* -1 x)))))))>
#<alt x>
#<alt (+ x (* -1 (/ x y)))>
#<alt (+ x (+ (* -1 (/ x y)) (/ x (pow y 2))))>
#<alt (- (+ x (+ (* -1 (/ x y)) (* -1 (/ x (pow y 3))))) (* -1 (/ x (pow y 2))))>
#<alt x>
#<alt (+ x (* -1 (/ x y)))>
#<alt (+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))>
#<alt (+ x (* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x y)) (* -1 x)) y))) y)))>
#<alt (/ (* x y) (- (pow y 2) 1))>
#<alt (/ (* x y) (- (pow y 2) 1))>
#<alt (/ (* x y) (- (pow y 2) 1))>
#<alt (/ (* x y) (- (pow y 2) 1))>
#<alt (/ (* x y) (- (pow y 2) 1))>
#<alt (/ (* x y) (- (pow y 2) 1))>
#<alt (/ (* x y) (- (pow y 2) 1))>
#<alt (/ (* x y) (- (pow y 2) 1))>
#<alt (/ (* x y) (- (pow y 2) 1))>
#<alt (/ (* x y) (- (pow y 2) 1))>
#<alt (/ (* x y) (- (pow y 2) 1))>
#<alt (/ (* x y) (- (pow y 2) 1))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (* -1 (* x (pow y 2)))))>
#<alt (* y (+ (* -1 x) (* (pow y 2) (- (* -1 (* x (pow y 2))) x))))>
#<alt (* y (+ (* -1 x) (* (pow y 2) (- (* (pow y 2) (- (* -1 (* x (pow y 2))) x)) x))))>
#<alt (/ x y)>
#<alt (/ (+ x (/ x (pow y 2))) y)>
#<alt (/ (- (+ x (/ x (pow y 4))) (* -1 (/ x (pow y 2)))) y)>
#<alt (/ (- (+ x (/ x (pow y 6))) (+ (* -1 (/ x (pow y 2))) (* -1 (/ x (pow y 4))))) y)>
#<alt (/ x y)>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ x (pow y 2)))) y))>
#<alt (* -1 (/ (+ (* -1 x) (+ (* -1 (/ x (pow y 2))) (* -1 (/ x (pow y 4))))) y))>
#<alt (* -1 (/ (+ (* -1 x) (+ (* -1 (/ x (pow y 2))) (+ (* -1 (/ x (pow y 4))) (* -1 (/ x (pow y 6)))))) y))>
#<alt -1>
#<alt (- (pow y 2) 1)>
#<alt (- (pow y 2) 1)>
#<alt (- (pow y 2) 1)>
#<alt (pow y 2)>
#<alt (* (pow y 2) (- 1 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (- 1 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (- 1 (/ 1 (pow y 2))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (- 1 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (- 1 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (- 1 (/ 1 (pow y 2))))>
#<alt -1>
#<alt (- y 1)>
#<alt (- y 1)>
#<alt (- y 1)>
#<alt y>
#<alt (* y (- 1 (/ 1 y)))>
#<alt (* y (- 1 (/ 1 y)))>
#<alt (* y (- 1 (/ 1 y)))>
#<alt y>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
Calls

78 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(- x (/ x y))
1.0ms
x
@0
(* (/ (* x y) (+ (* y y) -1)) (+ y -1))
1.0ms
x
@0
(* x (+ (* y (neg y)) y))
1.0ms
x
@inf
(* (/ (* x y) (+ (* y y) -1)) (+ y -1))
0.0ms
x
@0
(/ (* x y) (+ (* y y) -1))

simplify277.0ms (4.6%)

Memory
26.2MiB live, 452.9MiB allocated
Algorithm
egg-herbie
Rules
17 324×lower-fma.f64
17 324×lower-fma.f32
3 786×lower-*.f64
3 786×lower-*.f32
2 282×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01492004
14711901
211041835
339171794
083181765
Stop Event
iter limit
node limit
Counts
312 → 294
Calls
Call 1
Inputs
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* y (- (* x y) x))))
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
x
(+ x (* -1 (/ x y)))
(- (+ x (/ x (pow y 2))) (/ x y))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
x
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
y
(* y (+ 1 (* -1 y)))
(* y (+ 1 (* y (- y 1))))
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))
1
(- 1 (/ 1 y))
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y))
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))
1
(- 1 (/ 1 y))
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y)))
1
(+ 1 y)
(+ 1 y)
(+ 1 y)
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* y (- (* x y) x))))
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
x
(+ x (* -1 (/ x y)))
(- (+ x (/ x (pow y 2))) (/ x y))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
x
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* y (- (* x y) x))))
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
x
(+ x (* -1 (/ x y)))
(- (+ x (/ x (pow y 2))) (/ x y))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
x
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
(* x (+ y (* -1 (pow y 2))))
(* x (+ y (* -1 (pow y 2))))
(* x (+ y (* -1 (pow y 2))))
(* x (+ y (* -1 (pow y 2))))
(* x (+ y (* -1 (pow y 2))))
(* x (+ y (* -1 (pow y 2))))
(* x (+ y (* -1 (pow y 2))))
(* x (+ y (* -1 (pow y 2))))
(* x (+ y (* -1 (pow y 2))))
(* x (+ y (* -1 (pow y 2))))
(* x (+ y (* -1 (pow y 2))))
(* x (+ y (* -1 (pow y 2))))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
y
(* y (+ 1 (* -1 y)))
(* y (+ 1 (* -1 y)))
(* y (+ 1 (* -1 y)))
(* -1 (pow y 2))
(* (pow y 2) (- (/ 1 y) 1))
(* (pow y 2) (- (/ 1 y) 1))
(* (pow y 2) (- (/ 1 y) 1))
(* -1 (pow y 2))
(* (pow y 2) (- (/ 1 y) 1))
(* (pow y 2) (- (/ 1 y) 1))
(* (pow y 2) (- (/ 1 y) 1))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* y (- (* x y) x))))
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
x
(+ x (* -1 (/ x y)))
(- (+ x (/ x (pow y 2))) (/ x y))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
x
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
(* x (- 1 (/ 1 y)))
(* x (- 1 (/ 1 y)))
(* x (- 1 (/ 1 y)))
(* x (- 1 (/ 1 y)))
(* x (- 1 (/ 1 y)))
(* x (- 1 (/ 1 y)))
(* x (- 1 (/ 1 y)))
(* x (- 1 (/ 1 y)))
(* -1 (* x (- (/ 1 y) 1)))
(* -1 (* x (- (/ 1 y) 1)))
(* -1 (* x (- (/ 1 y) 1)))
(* -1 (* x (- (/ 1 y) 1)))
(* -1 (/ x y))
(/ (- (* x y) x) y)
(/ (- (* x y) x) y)
(/ (- (* x y) x) y)
x
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ x y)))
x
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ x y)))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ (* x (* y (- y 1))) (- (pow y 2) 1))
(/ (* x (* y (- y 1))) (- (pow y 2) 1))
(/ (* x (* y (- y 1))) (- (pow y 2) 1))
(/ (* x (* y (- y 1))) (- (pow y 2) 1))
(/ (* x (* y (- y 1))) (- (pow y 2) 1))
(/ (* x (* y (- y 1))) (- (pow y 2) 1))
(/ (* x (* y (- y 1))) (- (pow y 2) 1))
(/ (* x (* y (- y 1))) (- (pow y 2) 1))
(/ (* x (* y (- y 1))) (- (pow y 2) 1))
(/ (* x (* y (- y 1))) (- (pow y 2) 1))
(/ (* x (* y (- y 1))) (- (pow y 2) 1))
(/ (* x (* y (- y 1))) (- (pow y 2) 1))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* y (+ (* -1 x) (* x y)))))
(* y (+ x (* y (+ (* -1 x) (* y (- (* -1 (* x y)) (* -1 x)))))))
x
(+ x (* -1 (/ x y)))
(+ x (+ (* -1 (/ x y)) (/ x (pow y 2))))
(- (+ x (+ (* -1 (/ x y)) (* -1 (/ x (pow y 3))))) (* -1 (/ x (pow y 2))))
x
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(+ x (* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x y)) (* -1 x)) y))) y)))
(/ (* x y) (- (pow y 2) 1))
(/ (* x y) (- (pow y 2) 1))
(/ (* x y) (- (pow y 2) 1))
(/ (* x y) (- (pow y 2) 1))
(/ (* x y) (- (pow y 2) 1))
(/ (* x y) (- (pow y 2) 1))
(/ (* x y) (- (pow y 2) 1))
(/ (* x y) (- (pow y 2) 1))
(/ (* x y) (- (pow y 2) 1))
(/ (* x y) (- (pow y 2) 1))
(/ (* x y) (- (pow y 2) 1))
(/ (* x y) (- (pow y 2) 1))
(* -1 (* x y))
(* y (+ (* -1 x) (* -1 (* x (pow y 2)))))
(* y (+ (* -1 x) (* (pow y 2) (- (* -1 (* x (pow y 2))) x))))
(* y (+ (* -1 x) (* (pow y 2) (- (* (pow y 2) (- (* -1 (* x (pow y 2))) x)) x))))
(/ x y)
(/ (+ x (/ x (pow y 2))) y)
(/ (- (+ x (/ x (pow y 4))) (* -1 (/ x (pow y 2)))) y)
(/ (- (+ x (/ x (pow y 6))) (+ (* -1 (/ x (pow y 2))) (* -1 (/ x (pow y 4))))) y)
(/ x y)
(* -1 (/ (+ (* -1 x) (* -1 (/ x (pow y 2)))) y))
(* -1 (/ (+ (* -1 x) (+ (* -1 (/ x (pow y 2))) (* -1 (/ x (pow y 4))))) y))
(* -1 (/ (+ (* -1 x) (+ (* -1 (/ x (pow y 2))) (+ (* -1 (/ x (pow y 4))) (* -1 (/ x (pow y 6)))))) y))
-1
(- (pow y 2) 1)
(- (pow y 2) 1)
(- (pow y 2) 1)
(pow y 2)
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(pow y 2)
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
-1
(- y 1)
(- y 1)
(- y 1)
y
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
y
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
Outputs
(* x y)
(*.f64 x y)
(* y (+ x (* -1 (* x y))))
(*.f64 x (-.f64 y (*.f64 y y)))
(* y (+ x (* y (- (* x y) x))))
(*.f64 x (fma.f64 y (-.f64 (*.f64 y y) y) y))
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
(*.f64 y (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y y #s(literal 1 binary64)))))
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(- (+ x (/ x (pow y 2))) (/ x y))
(fma.f64 (/.f64 x (*.f64 y y)) (-.f64 #s(literal 1 binary64) y) x)
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
(*.f64 (+.f64 x (/.f64 x (*.f64 y y))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(fma.f64 (/.f64 x (*.f64 y y)) (-.f64 #s(literal 1 binary64) y) x)
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
(*.f64 (+.f64 x (/.f64 x (*.f64 y y))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))
(/ (* x y) (+ 1 y))
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
(/ (* x y) (+ 1 y))
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
(/ (* x y) (+ 1 y))
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
(/ (* x y) (+ 1 y))
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(*.f64 y (*.f64 (fma.f64 x (*.f64 y y) x) (fma.f64 (*.f64 y y) (*.f64 y (neg.f64 y)) #s(literal -1 binary64))))
(/ x y)
(/.f64 x y)
(/ (+ x (/ x (pow y 2))) y)
(/.f64 (+.f64 x (/.f64 x (*.f64 y y))) y)
(/ (- (+ x (/ x (pow y 4))) (* -1 (/ x (pow y 2)))) y)
(/.f64 (+.f64 (/.f64 x (*.f64 y y)) (+.f64 x (/.f64 x (*.f64 (*.f64 y (*.f64 y y)) y)))) y)
(/ (- (+ x (/ x (pow y 6))) (+ (* -1 (/ x (pow y 2))) (* -1 (/ x (pow y 4))))) y)
(/.f64 (+.f64 (+.f64 x (/.f64 x (*.f64 y y))) (+.f64 (/.f64 x (*.f64 (*.f64 y (*.f64 y y)) y)) (/.f64 x (pow.f64 y #s(literal 6 binary64))))) y)
(/ x y)
(/.f64 x y)
(* -1 (/ (+ (* -1 x) (* -1 (/ x (pow y 2)))) y))
(/.f64 (+.f64 x (/.f64 x (*.f64 y y))) y)
(* -1 (/ (+ (* -1 x) (+ (* -1 (/ x (pow y 2))) (* -1 (/ x (pow y 4))))) y))
(/.f64 (+.f64 (/.f64 x (*.f64 y y)) (+.f64 x (/.f64 x (*.f64 (*.f64 y (*.f64 y y)) y)))) y)
(* -1 (/ (+ (* -1 x) (+ (* -1 (/ x (pow y 2))) (+ (* -1 (/ x (pow y 4))) (* -1 (/ x (pow y 6)))))) y))
(/.f64 (+.f64 (+.f64 x (/.f64 x (*.f64 y y))) (+.f64 (/.f64 x (*.f64 (*.f64 y (*.f64 y y)) y)) (/.f64 x (pow.f64 y #s(literal 6 binary64))))) y)
-1
#s(literal -1 binary64)
(- (pow y 2) 1)
(fma.f64 y y #s(literal -1 binary64))
(- (pow y 2) 1)
(fma.f64 y y #s(literal -1 binary64))
(- (pow y 2) 1)
(fma.f64 y y #s(literal -1 binary64))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal -1 binary64))
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal -1 binary64))
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal -1 binary64))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal -1 binary64))
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal -1 binary64))
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- y 1)
(+.f64 y #s(literal -1 binary64))
(- y 1)
(+.f64 y #s(literal -1 binary64))
(- y 1)
(+.f64 y #s(literal -1 binary64))
y
(* y (- 1 (/ 1 y)))
(+.f64 y #s(literal -1 binary64))
(* y (- 1 (/ 1 y)))
(+.f64 y #s(literal -1 binary64))
(* y (- 1 (/ 1 y)))
(+.f64 y #s(literal -1 binary64))
y
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 y #s(literal -1 binary64))
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 y #s(literal -1 binary64))
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 y #s(literal -1 binary64))

rewrite696.0ms (11.5%)

Memory
5.0MiB live, 611.8MiB allocated
Rules
9 674×lower-fma.f32
9 670×lower-fma.f64
4 658×lower-*.f32
4 650×lower-*.f64
3 772×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
023106
037101
1148101
21129100
09169100
Stop Event
iter limit
node limit
iter limit
Counts
16 → 1 566
Calls
Call 1
Inputs
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
(/.f64 y (+.f64 y #s(literal 1 binary64)))
(+.f64 y #s(literal 1 binary64))
#s(approx (/ (* x y) (+ y 1)) (*.f64 x y))
(*.f64 x y)
#s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y)))
(*.f64 x (fma.f64 y (neg.f64 y) y))
(fma.f64 y (neg.f64 y) y)
(neg.f64 y)
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
(-.f64 x (/.f64 x y))
(/.f64 x y)
(*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64)))
(/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64)))
(fma.f64 y y #s(literal -1 binary64))
(+.f64 y #s(literal -1 binary64))
Outputs
(+.f64 (/.f64 (*.f64 y (*.f64 y x)) (fma.f64 y y #s(literal -1 binary64))) (/.f64 (*.f64 y x) (fma.f64 y y #s(literal 1 binary64))))
(+.f64 (/.f64 (*.f64 y (*.f64 y x)) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 y x) (fma.f64 y y #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 y x) (fma.f64 y y #s(literal 1 binary64))) (/.f64 (*.f64 y (*.f64 y x)) (fma.f64 y y #s(literal -1 binary64))))
(+.f64 (/.f64 (*.f64 y x) (fma.f64 y y #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y x)) (fma.f64 y y #s(literal -1 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y x)) (fma.f64 y y #s(literal -1 binary64)))) (/.f64 (*.f64 y x) (fma.f64 y y #s(literal 1 binary64))))
(+.f64 (*.f64 (/.f64 (*.f64 y x) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 y y)) (*.f64 (/.f64 (*.f64 y x) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 (/.f64 (*.f64 y x) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 (*.f64 y x) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 y y)))
(+.f64 (*.f64 (/.f64 (*.f64 y (fma.f64 y x (neg.f64 x))) (fma.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))) #s(literal -1 binary64))) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (/.f64 (*.f64 y (fma.f64 y x (neg.f64 x))) (fma.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))) #s(literal -1 binary64))) (fma.f64 y y #s(literal 1 binary64))))
(+.f64 (*.f64 (/.f64 (*.f64 y (fma.f64 y x (neg.f64 x))) (fma.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))) #s(literal -1 binary64))) (fma.f64 y y #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 y (fma.f64 y x (neg.f64 x))) (fma.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))) #s(literal -1 binary64))) (*.f64 y (*.f64 y (*.f64 y y)))))
(+.f64 (*.f64 (/.f64 (*.f64 y (fma.f64 y x (neg.f64 x))) (fma.f64 y (*.f64 y (*.f64 y y)) #s(literal -1 binary64))) (*.f64 y y)) (*.f64 (/.f64 (*.f64 y (fma.f64 y x (neg.f64 x))) (fma.f64 y (*.f64 y (*.f64 y y)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (*.f64 y x) (fma.f64 y y #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 y (*.f64 y x)) (fma.f64 y y #s(literal -1 binary64))))
(+.f64 (*.f64 (*.f64 y y) (/.f64 (*.f64 y x) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 y x) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 y x) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (*.f64 (*.f64 y y) (/.f64 (*.f64 y x) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))))
(+.f64 (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (/.f64 (*.f64 y (fma.f64 y x (neg.f64 x))) (fma.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))) #s(literal -1 binary64)))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (*.f64 y (fma.f64 y x (neg.f64 x))) (fma.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))) #s(literal -1 binary64)))))
(+.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (*.f64 y (fma.f64 y x (neg.f64 x))) (fma.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))) #s(literal -1 binary64)))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (/.f64 (*.f64 y (fma.f64 y x (neg.f64 x))) (fma.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))) #s(literal -1 binary64)))))
(+.f64 (*.f64 (*.f64 y y) (/.f64 (*.f64 y (fma.f64 y x (neg.f64 x))) (fma.f64 y (*.f64 y (*.f64 y y)) #s(literal -1 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (fma.f64 y x (neg.f64 x))) (fma.f64 y (*.f64 y (*.f64 y y)) #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 y x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y x) (-.f64 #s(literal -1 binary64) y)))
(-.f64 (/.f64 (*.f64 y (*.f64 y x)) (fma.f64 y y #s(literal -1 binary64))) (/.f64 (*.f64 y x) (fma.f64 y y #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y x))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y x))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) y) (*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) y))) (/.f64 (*.f64 x (*.f64 y (-.f64 #s(literal -1 binary64) y))) (fma.f64 y y #s(literal 1 binary64)))) (/.f64 (*.f64 (/.f64 (*.f64 y x) (fma.f64 y y #s(literal -1 binary64))) (/.f64 (*.f64 y x) (fma.f64 y y #s(literal -1 binary64)))) (/.f64 (*.f64 x (*.f64 y (-.f64 #s(literal -1 binary64) y))) (fma.f64 y y #s(literal 1 binary64)))))
(fma.f64 y (/.f64 (*.f64 y x) (fma.f64 y y #s(literal -1 binary64))) (/.f64 (*.f64 y x) (fma.f64 y y #s(literal 1 binary64))))
(fma.f64 y (/.f64 (*.f64 y x) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 y x) (fma.f64 y y #s(literal 1 binary64))) #s(literal 1 binary64)))
(fma.f64 y (neg.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64)))) (/.f64 (*.f64 y (*.f64 y x)) (fma.f64 y y #s(literal -1 binary64))))
(fma.f64 y (neg.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y x)) (fma.f64 y y #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y x)) (fma.f64 y y #s(literal -1 binary64))) (/.f64 (*.f64 y x) (fma.f64 y y #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 y x) (fma.f64 y y #s(literal 1 binary64))) (/.f64 (*.f64 y (*.f64 y x)) (fma.f64 y y #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 y x) (fma.f64 y y #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y x)) (fma.f64 y y #s(literal -1 binary64)))))
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 y x))) (/.f64 (*.f64 y x) (fma.f64 y y #s(literal 1 binary64))))
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 y x))) (*.f64 (/.f64 (*.f64 y x) (fma.f64 y y #s(literal 1 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 y (/.f64 (+.f64 y #s(literal -1 binary64)) x)) (/.f64 (*.f64 y x) (fma.f64 y y #s(literal 1 binary64))))
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 y (/.f64 (+.f64 y #s(literal -1 binary64)) x)) (*.f64 (/.f64 (*.f64 y x) (fma.f64 y y #s(literal 1 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 y (neg.f64 x)) (-.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y x) (fma.f64 y y #s(literal 1 binary64))))
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 y (neg.f64 x)) (-.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 (*.f64 y x) (fma.f64 y y #s(literal 1 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 y x) (+.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 y x) (fma.f64 y y #s(literal 1 binary64))))
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 y x) (+.f64 y #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 y x) (fma.f64 y y #s(literal 1 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y (*.f64 y x)) (fma.f64 y y #s(literal -1 binary64))))
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y x)) (fma.f64 y y #s(literal -1 binary64)))))
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 (neg.f64 x) (+.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 y (*.f64 y x)) (fma.f64 y y #s(literal -1 binary64))))
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (/.f64 (neg.f64 x) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y x)) (fma.f64 y y #s(literal -1 binary64)))))
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (neg.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))) (/.f64 (*.f64 y (*.f64 y x)) (fma.f64 y y #s(literal -1 binary64))))
(fma.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) (neg.f64 (/.f64 x (+.f64 y #s(literal -1 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y x)) (fma.f64 y y #s(literal -1 binary64)))))
(fma.f64 x (*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 (*.f64 y (*.f64 y x)) (fma.f64 y y #s(literal -1 binary64))))
(fma.f64 x (*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y x)) (fma.f64 y y #s(literal -1 binary64)))))
(fma.f64 x (*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) y) (/.f64 (*.f64 y x) (fma.f64 y y #s(literal 1 binary64))))
(fma.f64 x (*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) y) (*.f64 (/.f64 (*.f64 y x) (fma.f64 y y #s(literal 1 binary64))) #s(literal 1 binary64)))
(fma.f64 x (neg.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (/.f64 (*.f64 y (*.f64 y x)) (fma.f64 y y #s(literal -1 binary64))))
(fma.f64 x (neg.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y x)) (fma.f64 y y #s(literal -1 binary64)))))
(fma.f64 (*.f64 y (/.f64 x (+.f64 y #s(literal 1 binary64)))) (/.f64 y (+.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 y x) (fma.f64 y y #s(literal 1 binary64))))
(fma.f64 (*.f64 y (/.f64 x (+.f64 y #s(literal 1 binary64)))) (/.f64 y (+.f64 y #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 y x) (fma.f64 y y #s(literal 1 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 y (/.f64 x (+.f64 y #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 y (*.f64 y x)) (fma.f64 y y #s(literal -1 binary64))))
(fma.f64 (*.f64 y (/.f64 x (+.f64 y #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y x)) (fma.f64 y y #s(literal -1 binary64)))))
(fma.f64 (*.f64 y x) (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (/.f64 (*.f64 y x) (fma.f64 y y #s(literal 1 binary64))))
(fma.f64 (*.f64 y x) (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 y x) (fma.f64 y y #s(literal 1 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (/.f64 (*.f64 y (*.f64 y x)) (fma.f64 y y #s(literal -1 binary64))))
(fma.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y x)) (fma.f64 y y #s(literal -1 binary64)))))
(fma.f64 (*.f64 y x) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 (*.f64 y (*.f64 y x)) (fma.f64 y y #s(literal -1 binary64))))
(fma.f64 (*.f64 y x) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y x)) (fma.f64 y y #s(literal -1 binary64)))))
(fma.f64 (*.f64 y x) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) y) (/.f64 (*.f64 y x) (fma.f64 y y #s(literal 1 binary64))))
(fma.f64 (*.f64 y x) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) y) (*.f64 (/.f64 (*.f64 y x) (fma.f64 y y #s(literal 1 binary64))) #s(literal 1 binary64)))
(fma.f64 (neg.f64 y) (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (/.f64 (*.f64 y (*.f64 y x)) (fma.f64 y y #s(literal -1 binary64))))
(fma.f64 (neg.f64 y) (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y x)) (fma.f64 y y #s(literal -1 binary64)))))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 y x) (fma.f64 y y #s(literal -1 binary64))) (/.f64 (*.f64 y (*.f64 y x)) (fma.f64 y y #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 y x) (fma.f64 y y #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (*.f64 y x)) (fma.f64 y y #s(literal -1 binary64)))))
(fma.f64 (/.f64 (*.f64 y x) (fma.f64 y y #s(literal -1 binary64))) y (/.f64 (*.f64 y x) (fma.f64 y y #s(literal 1 binary64))))
(fma.f64 (/.f64 (*.f64 y x) (fma.f64 y y #s(literal -1 binary64))) y (*.f64 (/.f64 (*.f64 y x) (fma.f64 y y #s(literal 1 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 y x) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64) (/.f64 (*.f64 y (*.f64 y x)) (fma.f64 y y #s(literal -1 binary64))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))) (+.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))
(*.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))))
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))
(*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y)))
(*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (*.f64 y y) y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64)))
(*.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 y) (-.f64 #s(literal -1 binary64) y))))
(*.f64 (/.f64 (fma.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (*.f64 y y) y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))
(*.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))))
(*.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))))
(*.f64 (/.f64 (fma.f64 y (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))))
(*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64)))) (+.f64 y #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))

eval664.0ms (10.9%)

Memory
-11.5MiB live, 375.2MiB allocated
Compiler

Compiled 39 219 to 2 696 computations (93.1% saved)

prune226.0ms (3.7%)

Memory
19.9MiB live, 367.5MiB allocated
Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New1 89221 894
Fresh000
Picked055
Done011
Total1 89281 900
Accuracy
100.0%
Counts
1 900 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.9%
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
69.9%
(*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64)))
100.0%
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
53.8%
(*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)
53.3%
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
46.8%
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y x)))
46.8%
#s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y)))
47.7%
#s(approx (/ (* x y) (+ y 1)) (*.f64 x y))
Compiler

Compiled 72 to 42 computations (41.7% saved)

simplify62.0ms (1%)

Memory
29.5MiB live, 65.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (/ y (+ y 1)) #s(literal 1 binary64))
cost-diff0
(*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)
cost-diff0
(*.f64 y x)
cost-diff0
(-.f64 #s(literal 1 binary64) y)
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y x))
cost-diff0
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y x)))
Rules
688×lower-fma.f64
688×lower-fma.f32
488×lower-*.f32
482×lower-*.f64
322×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01349
01749
12849
24849
39149
417049
528049
641549
765149
883749
9100449
10127249
11144749
12155649
13156049
14156649
15156849
0156849
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y x)))
(*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y x))
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(*.f64 y x)
x
(*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)
#s(approx (/ y (+ y 1)) #s(literal 1 binary64))
#s(literal 1 binary64)
x
Outputs
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y x)))
#s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y x))
(*.f64 x (fma.f64 y (neg.f64 y) y))
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(*.f64 y x)
(*.f64 x y)
x
(*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)
(*.f64 x #s(approx (/ y (+ y 1)) #s(literal 1 binary64)))
#s(approx (/ y (+ y 1)) #s(literal 1 binary64))
#s(literal 1 binary64)
x

localize56.0ms (0.9%)

Memory
-22.4MiB live, 58.2MiB allocated
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)
accuracy29.80465206873994
#s(approx (/ y (+ y 1)) #s(literal 1 binary64))
accuracy0
(-.f64 #s(literal 1 binary64) y)
accuracy0
(*.f64 y x)
accuracy0.0703125
(*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y x))
accuracy34.03460383308844
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y x)))
Samples
46.0ms256×0valid
Compiler

Compiled 39 to 13 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-mult: 25.0ms (71.8% of total)
ival-add: 5.0ms (14.4% of total)
ival-div: 3.0ms (8.6% of total)
ival-sub: 1.0ms (2.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
4.5MiB live, 4.5MiB allocated
Counts
6 → 120
Calls
Call 1
Inputs
#<alt #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y x)))>
#<alt (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y x))>
#<alt (-.f64 #s(literal 1 binary64) y)>
#<alt (*.f64 y x)>
#<alt (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)>
#<alt #s(approx (/ y (+ y 1)) #s(literal 1 binary64))>
Outputs
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* y (+ x (* y (- (* x y) x))))>
#<alt (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))>
#<alt x>
#<alt (+ x (* -1 (/ x y)))>
#<alt (- (+ x (/ x (pow y 2))) (/ x y))>
#<alt (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))>
#<alt x>
#<alt (+ x (* -1 (/ x y)))>
#<alt (+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))>
#<alt (+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* -1 (* x (pow y 2)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt (* x (* y (- 1 y)))>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (* x y))))>
#<alt (* y (+ x (* y (- (* x y) x))))>
#<alt (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))>
#<alt x>
#<alt (+ x (* -1 (/ x y)))>
#<alt (- (+ x (/ x (pow y 2))) (/ x y))>
#<alt (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))>
#<alt x>
#<alt (+ x (* -1 (/ x y)))>
#<alt (+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))>
#<alt (+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt (/ (* x y) (+ 1 y))>
#<alt y>
#<alt (* y (+ 1 (* -1 y)))>
#<alt (* y (+ 1 (* y (- y 1))))>
#<alt (* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))>
#<alt 1>
#<alt (- 1 (/ 1 y))>
#<alt (- (+ 1 (/ 1 (pow y 2))) (/ 1 y))>
#<alt (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))>
#<alt 1>
#<alt (- 1 (/ 1 y))>
#<alt (+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y)))>
Calls

30 calls:

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

simplify239.0ms (3.9%)

Memory
-39.7MiB live, 273.1MiB allocated
Algorithm
egg-herbie
Rules
13 132×lower-fma.f64
13 132×lower-fma.f32
2 696×lower-*.f64
2 696×lower-*.f32
1 630×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079777
1234738
2513714
31554696
44661696
57048696
08239690
Stop Event
iter limit
node limit
Counts
120 → 115
Calls
Call 1
Inputs
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* y (- (* x y) x))))
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
x
(+ x (* -1 (/ x y)))
(- (+ x (/ x (pow y 2))) (/ x y))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
x
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(* -1 y)
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* -1 y)
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* y (- (* x y) x))))
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
x
(+ x (* -1 (/ x y)))
(- (+ x (/ x (pow y 2))) (/ x y))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
x
(+ x (* -1 (/ x y)))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
(/ (* x y) (+ 1 y))
y
(* y (+ 1 (* -1 y)))
(* y (+ 1 (* y (- y 1))))
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))
1
(- 1 (/ 1 y))
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y))
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))
1
(- 1 (/ 1 y))
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y)))
Outputs
(/ (* x y) (+ 1 y))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/ (* x y) (+ 1 y))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/ (* x y) (+ 1 y))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/ (* x y) (+ 1 y))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/ (* x y) (+ 1 y))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/ (* x y) (+ 1 y))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/ (* x y) (+ 1 y))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/ (* x y) (+ 1 y))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/ (* x y) (+ 1 y))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/ (* x y) (+ 1 y))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/ (* x y) (+ 1 y))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/ (* x y) (+ 1 y))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(* x y)
(*.f64 x y)
(* y (+ x (* -1 (* x y))))
(*.f64 x (-.f64 y (*.f64 y y)))
(* y (+ x (* y (- (* x y) x))))
(*.f64 y (fma.f64 x (-.f64 (*.f64 y y) y) x))
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
(*.f64 y (*.f64 (-.f64 x (*.f64 x y)) (fma.f64 y y #s(literal 1 binary64))))
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(- (+ x (/ x (pow y 2))) (/ x y))
(-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
(*.f64 (-.f64 x (/.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y))
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
(*.f64 (-.f64 x (/.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(* x y)
(*.f64 x y)
(* y (+ x (* -1 (* x y))))
(*.f64 x (-.f64 y (*.f64 y y)))
(* y (+ x (* -1 (* x y))))
(*.f64 x (-.f64 y (*.f64 y y)))
(* y (+ x (* -1 (* x y))))
(*.f64 x (-.f64 y (*.f64 y y)))
(* -1 (* x (pow y 2)))
(*.f64 y (*.f64 y (neg.f64 x)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 x (-.f64 y (*.f64 y y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 x (-.f64 y (*.f64 y y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 x (-.f64 y (*.f64 y y)))
(* -1 (* x (pow y 2)))
(*.f64 y (*.f64 y (neg.f64 x)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 x (-.f64 y (*.f64 y y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 x (-.f64 y (*.f64 y y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 x (-.f64 y (*.f64 y y)))
(* x (* y (- 1 y)))
(*.f64 x (-.f64 y (*.f64 y y)))
(* x (* y (- 1 y)))
(*.f64 x (-.f64 y (*.f64 y y)))
(* x (* y (- 1 y)))
(*.f64 x (-.f64 y (*.f64 y y)))
(* x (* y (- 1 y)))
(*.f64 x (-.f64 y (*.f64 y y)))
(* x (* y (- 1 y)))
(*.f64 x (-.f64 y (*.f64 y y)))
(* x (* y (- 1 y)))
(*.f64 x (-.f64 y (*.f64 y y)))
(* x (* y (- 1 y)))
(*.f64 x (-.f64 y (*.f64 y y)))
(* x (* y (- 1 y)))
(*.f64 x (-.f64 y (*.f64 y y)))
(* x (* y (- 1 y)))
(*.f64 x (-.f64 y (*.f64 y y)))
(* x (* y (- 1 y)))
(*.f64 x (-.f64 y (*.f64 y y)))
(* x (* y (- 1 y)))
(*.f64 x (-.f64 y (*.f64 y y)))
(* x (* y (- 1 y)))
(*.f64 x (-.f64 y (*.f64 y y)))
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(* -1 y)
(neg.f64 y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* -1 y)
(neg.f64 y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* y (+ x (* -1 (* x y))))
(*.f64 x (-.f64 y (*.f64 y y)))
(* y (+ x (* y (- (* x y) x))))
(*.f64 y (fma.f64 x (-.f64 (*.f64 y y) y) x))
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))
(*.f64 y (*.f64 (-.f64 x (*.f64 x y)) (fma.f64 y y #s(literal 1 binary64))))
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(- (+ x (/ x (pow y 2))) (/ x y))
(-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y))
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))
(*.f64 (-.f64 x (/.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y)))
(-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y))
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y)))
(*.f64 (-.f64 x (/.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))))
(/ (* x y) (+ 1 y))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/ (* x y) (+ 1 y))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/ (* x y) (+ 1 y))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/ (* x y) (+ 1 y))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/ (* x y) (+ 1 y))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/ (* x y) (+ 1 y))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/ (* x y) (+ 1 y))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/ (* x y) (+ 1 y))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/ (* x y) (+ 1 y))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/ (* x y) (+ 1 y))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/ (* x y) (+ 1 y))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(/ (* x y) (+ 1 y))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
y
(* y (+ 1 (* -1 y)))
(-.f64 y (*.f64 y y))
(* y (+ 1 (* y (- y 1))))
(fma.f64 y (-.f64 (*.f64 y y) y) y)
(* y (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))))
(*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y y #s(literal 1 binary64))))
1
#s(literal 1 binary64)
(- 1 (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(- (+ 1 (/ 1 (pow y 2))) (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y))
(- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) y))
1
#s(literal 1 binary64)
(- 1 (/ 1 y))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) y))

rewrite294.0ms (4.8%)

Memory
9.3MiB live, 477.7MiB allocated
Rules
6 772×lower-fma.f64
6 772×lower-fma.f32
6 360×lower-*.f32
6 354×lower-*.f64
3 914×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01344
01744
16244
235644
3366344
01220042
Stop Event
iter limit
node limit
iter limit
Counts
6 → 303
Calls
Call 1
Inputs
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y x)))
(*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y x))
(-.f64 #s(literal 1 binary64) y)
(*.f64 y x)
(*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)
#s(approx (/ y (+ y 1)) #s(literal 1 binary64))
Outputs
#s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y y y)))
(+.f64 (*.f64 x y) (*.f64 y (*.f64 x (neg.f64 y))))
(+.f64 (*.f64 y (*.f64 x (neg.f64 y))) (*.f64 x y))
(+.f64 (*.f64 y (*.f64 x y)) (*.f64 x (neg.f64 y)))
(+.f64 (*.f64 (*.f64 x y) y) (*.f64 x (neg.f64 y)))
(fma.f64 x y (*.f64 y (*.f64 x (neg.f64 y))))
(fma.f64 x (neg.f64 (*.f64 y y)) (*.f64 x y))
(fma.f64 y x (*.f64 y (*.f64 x (neg.f64 y))))
(fma.f64 y (*.f64 x y) (*.f64 x (neg.f64 y)))
(fma.f64 y (*.f64 x (neg.f64 y)) (*.f64 x y))
(fma.f64 y (neg.f64 (neg.f64 x)) (*.f64 y (*.f64 x (neg.f64 y))))
(fma.f64 (*.f64 x y) y (*.f64 x (neg.f64 y)))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 y (*.f64 x (neg.f64 y))))
(fma.f64 (*.f64 x y) (neg.f64 y) (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 y (*.f64 x (neg.f64 y))))
(fma.f64 (*.f64 x (neg.f64 y)) y (*.f64 x y))
(fma.f64 (neg.f64 y) (*.f64 x y) (*.f64 x y))
(fma.f64 (neg.f64 y) (neg.f64 x) (*.f64 y (*.f64 x (neg.f64 y))))
(fma.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 y)) (*.f64 y (*.f64 x (neg.f64 y))))
(fma.f64 #s(literal -1 binary64) (*.f64 y (*.f64 x y)) (*.f64 x y))
(fma.f64 (neg.f64 (*.f64 y y)) x (*.f64 x y))
(fma.f64 (neg.f64 x) (neg.f64 y) (*.f64 y (*.f64 x (neg.f64 y))))
(fma.f64 (neg.f64 (neg.f64 x)) y (*.f64 y (*.f64 x (neg.f64 y))))
(/.f64 (*.f64 x y) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 x (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y))))))
(/.f64 (*.f64 y (*.f64 x (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (+.f64 y #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 x y) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 x y) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (fma.f64 y (neg.f64 y) (+.f64 y #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 y (*.f64 x (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))) (fma.f64 y (neg.f64 y) (+.f64 y #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y))))) (+.f64 y #s(literal -1 binary64)))
(/.f64 (fma.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y))))) (fma.f64 (*.f64 x y) (*.f64 x y) (-.f64 (*.f64 (*.f64 y (*.f64 x y)) (*.f64 y (*.f64 x y))) (*.f64 (*.f64 x y) (*.f64 y (*.f64 x (neg.f64 y)))))))
(/.f64 (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 y (*.f64 x y)) (*.f64 y (*.f64 x y)))) (-.f64 (*.f64 x y) (*.f64 y (*.f64 x (neg.f64 y)))))
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (*.f64 x y)) (fma.f64 y (neg.f64 y) (+.f64 y #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 x y)) (+.f64 y #s(literal -1 binary64)))
(/.f64 (/.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (/.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
(pow.f64 (/.f64 (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 x (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y))))) #s(literal -1 binary64))
(*.f64 x (fma.f64 y y y))
(*.f64 y (fma.f64 y (neg.f64 x) x))
(*.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64))))
(*.f64 y (*.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 x) x)))
(*.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
(*.f64 (*.f64 x y) (+.f64 y #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y y)))
(*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 x y))
(*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x y))
(*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 x y)))
(*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (/.f64 (*.f64 x y) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x (/.f64 y (+.f64 y #s(literal -1 binary64)))))
(*.f64 (fma.f64 y y y) x)
(*.f64 (fma.f64 y (neg.f64 x) x) y)
(*.f64 (*.f64 y (*.f64 x (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal -1 binary64))))
(*.f64 (*.f64 x (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (*.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (*.f64 x (*.f64 y (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal -1 binary64))) (*.f64 x (fma.f64 y y y)))
(*.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))
(*.f64 (*.f64 x (fma.f64 y y y)) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 x y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 x y) (/.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal -1 binary64)))) (+.f64 y #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 y (neg.f64 x) x) #s(literal 1 binary64)) y)
(*.f64 (/.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 y (*.f64 x (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (fma.f64 (fma.f64 y y y) (*.f64 (fma.f64 y y y) (fma.f64 y y y)) #s(literal 1 binary64))) (fma.f64 (fma.f64 y y y) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 y (*.f64 x (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y y) (fma.f64 y y y)))) (-.f64 #s(literal 1 binary64) (fma.f64 y y y)))
(*.f64 (/.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y)))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (fma.f64 y (neg.f64 y) (+.f64 y #s(literal -1 binary64))))
(+.f64 y #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) y)
(+.f64 #s(literal 1 binary64) (neg.f64 y))
(+.f64 (neg.f64 y) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal -1 binary64))) (neg.f64 (*.f64 y (/.f64 y (+.f64 y #s(literal -1 binary64))))))
(+.f64 (*.f64 y (/.f64 y (+.f64 y #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal -1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))))
(+.f64 (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (*.f64 y y)))
(+.f64 (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (*.f64 y y)) (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64))))
(+.f64 (*.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal -1 binary64))) y) (*.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)))
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(*.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))
(*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))
(*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal -1 binary64))))
(*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (+.f64 y #s(literal -1 binary64)))
(*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 y) (+.f64 y #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (fma.f64 y (neg.f64 y) (+.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))))) (fma.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 y y y)) (*.f64 y (*.f64 y (*.f64 y y)))))
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (*.f64 y y)) (fma.f64 y y #s(literal -1 binary64)))) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y))
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (fma.f64 y y y) (*.f64 (fma.f64 y y y) (fma.f64 y y y)) #s(literal 1 binary64))) (fma.f64 (fma.f64 y y y) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y y) (fma.f64 y y y)))) (-.f64 #s(literal 1 binary64) (fma.f64 y y y)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (fma.f64 y (neg.f64 y) (+.f64 y #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 y) (+.f64 y #s(literal -1 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 y) (+.f64 y #s(literal -1 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal -1 binary64))))
(*.f64 (pow.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 y y)) (fma.f64 y y #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 (*.f64 y y) (*.f64 y y) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 y)))
(neg.f64 (*.f64 x (neg.f64 y)))
(*.f64 x y)
(*.f64 y x)
(*.f64 y (neg.f64 (neg.f64 x)))
(*.f64 (*.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 (neg.f64 y) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 y)))
(*.f64 (neg.f64 x) (neg.f64 y))
(*.f64 (neg.f64 (neg.f64 x)) y)
(*.f64 x #s(approx (/ y (+ y 1)) #s(literal 1 binary64)))
(*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)
#s(approx (/ y (+ y 1)) #s(literal 1 binary64))

eval318.0ms (5.2%)

Memory
-10.9MiB live, 124.1MiB allocated
Compiler

Compiled 8 202 to 860 computations (89.5% saved)

prune62.0ms (1%)

Memory
0.2MiB live, 81.4MiB allocated
Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New4180418
Fresh000
Picked022
Done066
Total4188426
Accuracy
100.0%
Counts
426 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.9%
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
69.9%
(*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64)))
100.0%
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
53.8%
(*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)
53.3%
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
46.8%
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y x)))
46.8%
#s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y)))
47.7%
#s(approx (/ (* x y) (+ y 1)) (*.f64 x y))
Compiler

Compiled 130 to 64 computations (50.8% saved)

regimes10.0ms (0.2%)

Memory
14.5MiB live, 14.5MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (/ (* x y) (+ y 1)) (*.f64 x y))
(*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)
#s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y)))
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y x)))
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64)))
Outputs
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
Calls

3 calls:

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

Compiled 15 to 10 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory
12.7MiB live, 12.7MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
#s(approx (/ (* x y) (+ y 1)) (*.f64 x y))
(*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)
#s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y)))
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y x)))
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
Outputs
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
#s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y)))
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))
Calls

3 calls:

2.0ms
x
2.0ms
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
2.0ms
y
Results
AccuracySegmentsBranch
57.5%2x
98.5%3y
84.1%2(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes19.0ms (0.3%)

Memory
-34.2MiB live, 4.6MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (/ (* x y) (+ y 1)) (*.f64 x y))
(*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)
#s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y)))
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y x)))
Outputs
(*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)
#s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y)))
(*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)
Calls

1 calls:

18.0ms
y
Results
AccuracySegmentsBranch
97.8%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

Memory
3.4MiB live, 3.4MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (/ (* x y) (+ y 1)) (*.f64 x y))
(*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)
Outputs
(*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)
#s(approx (/ (* x y) (+ y 1)) (*.f64 x y))
(*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)
Calls

1 calls:

1.0ms
y
Results
AccuracySegmentsBranch
97.2%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory
8.5MiB live, 8.5MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

1.0ms
x
1.0ms
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
1.0ms
y
Results
AccuracySegmentsBranch
47.7%1x
47.7%1(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
47.7%1y
Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch44.0ms (0.7%)

Memory
-3.8MiB live, 34.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
30.0ms
0.004350736742011557
80.71244149700239
12.0ms
-257727616.77770734
-0.0499003608403603
Samples
12.0ms288×0valid
Compiler

Compiled 372 to 209 computations (43.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (33.4% of total)
ival-mult: 2.0ms (33.4% of total)
ival-add: 1.0ms (16.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch5.0ms (0.1%)

Memory
9.7MiB live, 9.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
4.0ms
0.004350736742011557
80.71244149700239
1.0ms
-257727616.77770734
-0.0499003608403603
Samples
2.0ms48×0valid
Compiler

Compiled 336 to 209 computations (37.8% saved)

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

bsearch1.0ms (0%)

Memory
3.1MiB live, 3.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
0.004350736742011557
80.71244149700239
1.0ms
-257727616.77770734
-0.0499003608403603
Compiler

Compiled 264 to 173 computations (34.5% saved)

simplify8.0ms (0.1%)

Memory
14.8MiB live, 14.8MiB allocated
Algorithm
egg-herbie
Rules
14×*-commutative_binary64
10×+-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032145
144145
252145
357145
460145
561145
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))))
(if (<=.f64 y #s(literal -1 binary64)) (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x) (if (<=.f64 y #s(literal 3/4 binary64)) #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)))
(if (<=.f64 y #s(literal -1 binary64)) (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)))
#s(approx (/ (* x y) (+ y 1)) (*.f64 x y))
Outputs
(*.f64 (/.f64 y (+.f64 y #s(literal 1 binary64))) x)
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y)))))
(if (<=.f64 y #s(literal -1 binary64)) (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x) (if (<=.f64 y #s(literal 3/4 binary64)) #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)))
(if (<=.f64 y #s(literal -1 binary64)) (*.f64 x #s(approx (/ y (+ y 1)) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 3/4 binary64)) #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) (*.f64 x #s(approx (/ y (+ y 1)) #s(literal 1 binary64)))))
(if (<=.f64 y #s(literal -1 binary64)) (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) (*.f64 #s(approx (/ y (+ y 1)) #s(literal 1 binary64)) x)))
(if (<=.f64 y #s(literal -1 binary64)) (*.f64 x #s(approx (/ y (+ y 1)) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) (*.f64 x #s(approx (/ y (+ y 1)) #s(literal 1 binary64)))))
#s(approx (/ (* x y) (+ y 1)) (*.f64 x y))
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x))

soundness742.0ms (12.2%)

Memory
-27.1MiB live, 370.7MiB allocated
Rules
17 324×lower-fma.f64
17 324×lower-fma.f32
9 976×lower-fma.f64
9 976×lower-fma.f32
5 518×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01492004
14711901
211041835
339171794
083181765
0613
0913
13513
220313
3189113
0839613
046299
1135290
2274282
31008276
44085276
55964276
67080276
77763276
08010274
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 178 to 76 computations (57.3% saved)

preprocess72.0ms (1.2%)

Memory
27.8MiB live, 103.1MiB allocated
Remove

(negabs x)

Compiler

Compiled 302 to 118 computations (60.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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