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

Time bar (total: 6.7s)

analyze11.0ms (0.2%)

Memory
17.3MiB live, 17.3MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.4s (20.3%)

Memory
-10.9MiB live, 850.0MiB allocated
Samples
932.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 338.0ms
ival-add: 157.0ms (46.5% of total)
ival-mult: 118.0ms (35% of total)
ival-div: 50.0ms (14.8% of total)
ival-true: 5.0ms (1.5% of total)
exact: 5.0ms (1.5% of total)
ival-assert: 3.0ms (0.9% of total)
Bogosity

preprocess47.0ms (0.7%)

Memory
18.8MiB live, 65.9MiB allocated
Algorithm
egg-herbie
Rules
486×times-frac
304×unsub-neg
238×distribute-lft-in
228×distribute-rgt-in
218×distribute-lft-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01848
15244
214542
343942
4117242
5164842
6186442
7192042
8194842
9195242
067
1127
2157
3167
0167
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(/ (* x y) (+ y 1))
Outputs
(/ (* x y) (+ y 1))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
Call 2
Inputs
(/ (* x y) (+ y 1))
(/ (* (neg x) y) (+ y 1))
(/ (* x (neg y)) (+ (neg y) 1))
(neg (/ (* (neg x) y) (+ y 1)))
(neg (/ (* x (neg y)) (+ (neg y) 1)))
(/ (* y x) (+ x 1))
Outputs
(/ (* x y) (+ y 1))
(* x (/ y (+ y 1)))
(/ (* (neg x) y) (+ y 1))
(* x (/ y (- -1 y)))
(/ (* x (neg y)) (+ (neg y) 1))
(/ (* x y) (+ y -1))
(neg (/ (* (neg x) y) (+ y 1)))
(* x (/ y (+ y 1)))
(neg (/ (* x (neg y)) (+ (neg y) 1)))
(/ (* x y) (- 1 y))
(/ (* y x) (+ x 1))
(* y (/ x (+ x 1)))
Symmetry

(negabs x)

explain81.0ms (1.2%)

Memory
-15.6MiB live, 141.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
260-0-(/.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/n260
(*.f64 x y)overflow26
Confusion
Predicted +Predicted -
+260
-0230
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+2600
-00230
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0230
126
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
25.0ms512×0valid
Compiler

Compiled 54 to 28 computations (48.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 4.0ms (35.5% of total)
ival-mult: 4.0ms (35.5% of total)
ival-add: 3.0ms (26.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.4%
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify4.0ms (0.1%)

Memory
8.0MiB live, 8.0MiB 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×*-lowering-*.f32
12×*-lowering-*.f64
*-commutative
/-lowering-/.f32
/-lowering-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0616
11216
21516
31616
01616
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ (* x y) (+ y 1))
(* x y)
x
y
(+ y 1)
1
Outputs
(/ (* x y) (+ y 1))
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))
(* x y)
(*.f64 x y)
x
y
(+ y 1)
(+.f64 y #s(literal 1 binary64))
1
#s(literal 1 binary64)

localize20.0ms (0.3%)

Memory
8.1MiB live, 46.5MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 y #s(literal 1 binary64))
accuracy100.0%
(*.f64 x y)
accuracy90.4%
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
Samples
13.0ms256×0valid
Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 3.0ms (45.2% of total)
ival-mult: 2.0ms (30.1% of total)
ival-add: 1.0ms (15.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
12.6MiB live, 12.6MiB allocated
Counts
3 → 60
Calls
Call 1
Inputs
#<alt (/ (* x y) (+ y 1))>
#<alt (* x y)>
#<alt (+ y 1)>
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
1.0ms
x
@0
(/ (* x y) (+ y 1))
1.0ms
x
@inf
(/ (* x y) (+ y 1))
1.0ms
y
@inf
(+ y 1)
1.0ms
y
@inf
(/ (* x y) (+ y 1))
0.0ms
x
@inf
(* x y)

rewrite304.0ms (4.6%)

Memory
-11.0MiB live, 597.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 518×/-lowering-/.f32
5 518×/-lowering-/.f64
3 256×*-lowering-*.f32
3 256×*-lowering-*.f64
2 620×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
13213
220013
3189013
0840113
Stop Event
iter limit
node limit
Counts
3 → 336
Calls
Call 1
Inputs
(/ (* x y) (+ y 1))
(* x y)
(+ y 1)
Outputs
(+.f64 (*.f64 (/.f64 (*.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 y y)) (*.f64 (/.f64 (*.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 (/.f64 (*.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 (*.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 y y)))
(+.f64 (*.f64 (*.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) y) (*.f64 (*.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 y y) (/.f64 (*.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (*.f64 (*.f64 y y) (/.f64 (*.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))))
(+.f64 (*.f64 y (*.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) (*.f64 #s(literal -1 binary64) (*.f64 x (/.f64 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 y (/.f64 x (-.f64 #s(literal -1 binary64) y))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))))
(-.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))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))) #s(literal 1 binary64)))
(fma.f64 y (*.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (*.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64))))))
(fma.f64 (*.f64 y y) (/.f64 (*.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 (*.f64 y y) (/.f64 (*.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (*.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 y y) (*.f64 (/.f64 (*.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)))
(fma.f64 (/.f64 (*.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 (*.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 y y)))
(fma.f64 (*.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) y (*.f64 (*.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #s(literal -1 binary64)))
(neg.f64 (*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 y (/.f64 x (-.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) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) (/.f64 (*.f64 x 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 x (/.f64 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 (-.f64 #s(literal 1 binary64) y) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 x y) (fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y)) (*.f64 (*.f64 x y) (*.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (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 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y)) (*.f64 (*.f64 x y) (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y) (*.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (/.f64 (*.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 y y #s(literal -1 binary64)) y) (*.f64 (/.f64 (*.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (*.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (fma.f64 y y #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) y) (*.f64 (*.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 (*.f64 x y) #s(literal 1 binary64))))
(/.f64 (*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 x (neg.f64 y)) (-.f64 #s(literal -1 binary64) y))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 x y)))
(/.f64 (neg.f64 y) (neg.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y)))
(/.f64 (*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 x y) (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 (*.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
(/.f64 (*.f64 x (*.f64 y (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))
(/.f64 (*.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64)))) (fma.f64 y y #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 x y) (fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y y))))))
(/.f64 (*.f64 (*.f64 x y) (*.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y))) (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y)))
(/.f64 (*.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (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))) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y)))
(/.f64 (neg.f64 (*.f64 x (*.f64 y (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))) (fma.f64 (*.f64 y y) (neg.f64 y) #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 y (*.f64 x (+.f64 y #s(literal -1 binary64))))) (neg.f64 (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (/.f64 (*.f64 x y) #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 y #s(literal 1 binary64)) y))
(/.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 y #s(literal 1 binary64)) y))
(/.f64 (*.f64 (/.f64 (*.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y)) (*.f64 y (*.f64 y (*.f64 y y)))))
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(*.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 (fma.f64 y y #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 (-.f64 (fma.f64 y y #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) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 y y #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 #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)))
(*.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))))

simplify289.0ms (4.3%)

Memory
-21.6MiB live, 541.2MiB allocated
Algorithm
egg-herbie
Rules
9 976×accelerator-lowering-fma.f32
9 976×accelerator-lowering-fma.f64
2 536×*-lowering-*.f32
2 536×*-lowering-*.f64
1 658×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046299
1135290
2274282
31008276
44085276
55964276
67080276
77763276
08010274
Stop Event
iter limit
node limit
Counts
60 → 60
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))

eval43.0ms (0.6%)

Memory
7.1MiB live, 124.5MiB allocated
Compiler

Compiled 8 348 to 1 038 computations (87.6% saved)

prune51.0ms (0.8%)

Memory
-7.0MiB live, 155.4MiB allocated
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New3906396
Fresh000
Picked011
Done000
Total3907397
Accuracy
100.0%
Counts
397 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.4%
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
45.1%
(-.f64 x (/.f64 x y))
91.7%
(*.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) y)
90.3%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (*.f64 x y))
55.0%
(*.f64 x (fma.f64 y (neg.f64 y) y))
55.5%
(*.f64 x y)
45.8%
x
Compiler

Compiled 97 to 60 computations (38.1% saved)

simplify69.0ms (1%)

Memory
25.8MiB live, 101.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x y)
cost-diff0
(-.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
(*.f64 x y)
cost-diff0
(+.f64 y #s(literal 1 binary64))
cost-diff0
(/.f64 x (+.f64 y #s(literal 1 binary64)))
cost-diff0
(*.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) y)
Rules
800×accelerator-lowering-fma.f32
800×accelerator-lowering-fma.f64
536×*-lowering-*.f32
536×*-lowering-*.f64
208×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01352
13450
26250
313150
419850
536050
666350
7100150
8130750
9158550
10160950
11161950
12162250
13162350
0162350
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* (/ x (+ y 1)) y)
(/ x (+ y 1))
x
(+ y 1)
y
1
x
(* x y)
x
y
(* x (+ (* y (neg y)) y))
x
(+ (* y (neg y)) y)
y
(neg y)
(- x (/ x y))
x
(/ x y)
y
Outputs
(* (/ x (+ y 1)) y)
(*.f64 y (/.f64 x (+.f64 y #s(literal 1 binary64))))
(/ x (+ y 1))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
x
(+ y 1)
(+.f64 y #s(literal 1 binary64))
y
1
#s(literal 1 binary64)
x
(* x y)
(*.f64 x y)
x
y
(* x (+ (* y (neg y)) y))
(*.f64 x (-.f64 y (*.f64 y y)))
x
(+ (* y (neg y)) y)
(-.f64 y (*.f64 y y))
y
(neg y)
(neg.f64 y)
(- x (/ x y))
(-.f64 x (/.f64 x y))
x
(/ x y)
(/.f64 x y)
y

localize45.0ms (0.7%)

Memory
1.6MiB live, 123.8MiB allocated
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 x y)
accuracy100.0%
(-.f64 x (/.f64 x y))
accuracy100.0%
(fma.f64 y (neg.f64 y) y)
accuracy100.0%
(neg.f64 y)
accuracy94.0%
(*.f64 x (fma.f64 y (neg.f64 y) y))
accuracy100.0%
(*.f64 x y)
accuracy100.0%
(+.f64 y #s(literal 1 binary64))
accuracy100.0%
(/.f64 x (+.f64 y #s(literal 1 binary64)))
accuracy91.7%
(*.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) y)
Samples
30.0ms256×0valid
Compiler

Compiled 52 to 15 computations (71.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 6.0ms (34% of total)
ival-div: 4.0ms (22.7% of total)
ival-neg: 4.0ms (22.7% of total)
ival-add: 3.0ms (17% of total)
ival-sub: 1.0ms (5.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.2%)

Memory
-9.8MiB live, 29.7MiB allocated
Counts
9 → 180
Calls
Call 1
Inputs
#<alt (* (/ x (+ y 1)) y)>
#<alt (/ x (+ y 1))>
#<alt (+ y 1)>
#<alt (* x y)>
#<alt (* x (+ (* y (neg y)) y))>
#<alt (+ (* y (neg y)) y)>
#<alt (neg y)>
#<alt (- x (/ x y))>
#<alt (/ x y)>
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 (+ 1 y))>
#<alt (/ x (+ 1 y))>
#<alt (/ x (+ 1 y))>
#<alt (/ x (+ 1 y))>
#<alt (/ x (+ 1 y))>
#<alt (/ x (+ 1 y))>
#<alt (/ x (+ 1 y))>
#<alt (/ x (+ 1 y))>
#<alt (/ x (+ 1 y))>
#<alt (/ x (+ 1 y))>
#<alt (/ x (+ 1 y))>
#<alt (/ x (+ 1 y))>
#<alt x>
#<alt (+ x (* -1 (* x y)))>
#<alt (+ x (* y (- (* x y) x)))>
#<alt (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))>
#<alt (/ x y)>
#<alt (/ (+ x (* -1 (/ x y))) y)>
#<alt (/ (- (+ x (/ x (pow y 2))) (/ x y)) y)>
#<alt (/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y)>
#<alt (/ x y)>
#<alt (* -1 (/ (+ (* -1 x) (/ x y)) y))>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y))>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) 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)>
#<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 (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 (- 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)>
Calls

45 calls:

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

rewrite244.0ms (3.7%)

Memory
-2.1MiB live, 599.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 116×accelerator-lowering-fma.f32
6 116×accelerator-lowering-fma.f64
4 056×*-lowering-*.f32
4 056×*-lowering-*.f64
3 614×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01342
18040
261040
0811140
Stop Event
iter limit
node limit
Counts
9 → 498
Calls
Call 1
Inputs
(* (/ x (+ y 1)) y)
(/ x (+ y 1))
(+ y 1)
(* x y)
(* x (+ (* y (neg y)) y))
(+ (* y (neg y)) y)
(neg y)
(- x (/ x y))
(/ x y)
Outputs
(+.f64 (*.f64 (/.f64 (*.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 y y)) (*.f64 (/.f64 (*.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 (/.f64 (*.f64 x y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 (*.f64 x 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)))
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(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (+.f64 x (/.f64 x y)) (*.f64 x x)))) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x x) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (+.f64 x (/.f64 x y)) (*.f64 x x)))) (fma.f64 x (*.f64 x x) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x y)))) (fma.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 x (+.f64 x (/.f64 x (*.f64 y y)))) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 (*.f64 (*.f64 x (+.f64 x (/.f64 x (*.f64 y y)))) (*.f64 x (-.f64 x (/.f64 x (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x y)))) (*.f64 x (+.f64 x (/.f64 x (*.f64 y y)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x y))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x y)))
(*.f64 (-.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (+.f64 x (/.f64 x y)) (*.f64 x x))))
(*.f64 (fma.f64 (/.f64 x y) (+.f64 x (/.f64 x y)) (*.f64 x x)) (*.f64 (-.f64 x (/.f64 x y)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (+.f64 x (/.f64 x y)) (*.f64 x x)))))
(*.f64 (fma.f64 (/.f64 x y) (+.f64 x (/.f64 x y)) (*.f64 x x)) (/.f64 (-.f64 x (/.f64 x y)) (fma.f64 (/.f64 x y) (+.f64 x (/.f64 x y)) (*.f64 x x))))
(*.f64 (*.f64 x (-.f64 x (/.f64 x (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x y))))
(*.f64 (+.f64 x (/.f64 x y)) (*.f64 (-.f64 x (/.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x y)))))
(*.f64 (+.f64 x (/.f64 x y)) (/.f64 (-.f64 x (/.f64 x y)) (+.f64 x (/.f64 x y))))
(*.f64 (fma.f64 (neg.f64 x) (*.f64 x x) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 x y) (+.f64 x (/.f64 x y)) (*.f64 x x)))))
(*.f64 (neg.f64 (*.f64 x (-.f64 x (/.f64 x (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x (/.f64 x y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) (+.f64 x (/.f64 x y)) (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x y))) (*.f64 x (-.f64 x (/.f64 x (*.f64 y y)))))
(*.f64 (/.f64 (*.f64 x (-.f64 x (/.f64 x (*.f64 y y)))) (*.f64 x (-.f64 x (/.f64 x (*.f64 y y))))) (-.f64 x (/.f64 x y)))
(*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (fma.f64 (*.f64 (/.f64 x y) (+.f64 x (/.f64 x y))) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (+.f64 x (/.f64 x y)) (+.f64 x (/.f64 x y)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 (/.f64 x y) (+.f64 x (/.f64 x y))) (-.f64 (*.f64 (/.f64 x y) (+.f64 x (/.f64 x y))) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 (-.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (/.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (+.f64 x (/.f64 x y)) (+.f64 x (/.f64 x y)))))) (-.f64 (*.f64 x x) (*.f64 (/.f64 x y) (+.f64 x (/.f64 x y)))))
(*.f64 (/.f64 (*.f64 x (-.f64 x (/.f64 x (*.f64 y y)))) (fma.f64 x (*.f64 x x) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))))) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) x) (*.f64 x x)))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 x (neg.f64 y)))
(neg.f64 (/.f64 x (neg.f64 y)))
(neg.f64 (*.f64 (/.f64 x (neg.f64 y)) #s(literal 1 binary64)))
(/.f64 x y)
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 x) #s(literal -1 binary64))))
(/.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 x (neg.f64 y)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 y (neg.f64 x)))
(/.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) y)
(/.f64 (*.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal -1 binary64))) y)
(/.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64))) (neg.f64 y))
(/.f64 (/.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))
(*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) x)
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 x (neg.f64 y)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 x (*.f64 y y)) y)
(*.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 x) (neg.f64 (*.f64 y (*.f64 y y)))) (*.f64 y y))

simplify532.0ms (8%)

Memory
-12.4MiB live, 389.6MiB allocated
Algorithm
egg-herbie
Rules
11 546×accelerator-lowering-fma.f32
11 546×accelerator-lowering-fma.f64
2 660×*-lowering-*.f32
2 660×*-lowering-*.f64
1 636×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
080954
1246877
2505861
31817857
46027857
08284853
Stop Event
iter limit
node limit
Counts
180 → 180
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 (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
(/ x (+ 1 y))
x
(+ x (* -1 (* x y)))
(+ x (* y (- (* x y) x)))
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))
(/ x y)
(/ (+ x (* -1 (/ x y))) y)
(/ (- (+ x (/ x (pow y 2))) (/ x y)) y)
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y)
(/ x y)
(* -1 (/ (+ (* -1 x) (/ x y)) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y))
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)
(* 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 (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 (- 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)
Outputs
(/ (* x y) (+ 1 y))
(*.f64 y (/.f64 x (+.f64 y #s(literal 1 binary64))))
(/ (* x y) (+ 1 y))
(*.f64 y (/.f64 x (+.f64 y #s(literal 1 binary64))))
(/ (* x y) (+ 1 y))
(*.f64 y (/.f64 x (+.f64 y #s(literal 1 binary64))))
(/ (* x y) (+ 1 y))
(*.f64 y (/.f64 x (+.f64 y #s(literal 1 binary64))))
(/ (* x y) (+ 1 y))
(*.f64 y (/.f64 x (+.f64 y #s(literal 1 binary64))))
(/ (* x y) (+ 1 y))
(*.f64 y (/.f64 x (+.f64 y #s(literal 1 binary64))))
(/ (* x y) (+ 1 y))
(*.f64 y (/.f64 x (+.f64 y #s(literal 1 binary64))))
(/ (* x y) (+ 1 y))
(*.f64 y (/.f64 x (+.f64 y #s(literal 1 binary64))))
(/ (* x y) (+ 1 y))
(*.f64 y (/.f64 x (+.f64 y #s(literal 1 binary64))))
(/ (* x y) (+ 1 y))
(*.f64 y (/.f64 x (+.f64 y #s(literal 1 binary64))))
(/ (* x y) (+ 1 y))
(*.f64 y (/.f64 x (+.f64 y #s(literal 1 binary64))))
(/ (* x y) (+ 1 y))
(*.f64 y (/.f64 x (+.f64 y #s(literal 1 binary64))))
(* x y)
(*.f64 x y)
(* y (+ x (* -1 (* x y))))
(*.f64 y (-.f64 x (*.f64 x 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))
(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 (/.f64 x y) x) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal -1 binary64)))
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 (/.f64 x y) x) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal -1 binary64)))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
(/ x (+ 1 y))
(/.f64 x (+.f64 y #s(literal 1 binary64)))
x
(+ x (* -1 (* x y)))
(-.f64 x (*.f64 x y))
(+ x (* y (- (* x y) x)))
(fma.f64 x (-.f64 (*.f64 y y) y) x)
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))
(*.f64 (-.f64 x (*.f64 x y)) (fma.f64 y y #s(literal 1 binary64)))
(/ x y)
(/.f64 x y)
(/ (+ x (* -1 (/ x y))) y)
(/.f64 (-.f64 (*.f64 x y) x) (*.f64 y y))
(/ (- (+ x (/ x (pow y 2))) (/ x y)) y)
(/.f64 (fma.f64 (/.f64 x (*.f64 y y)) (-.f64 #s(literal 1 binary64) y) x) y)
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y)
(/.f64 (*.f64 (-.f64 (/.f64 x y) x) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal -1 binary64))) y)
(/ x y)
(/.f64 x y)
(* -1 (/ (+ (* -1 x) (/ x y)) y))
(/.f64 (-.f64 (*.f64 x y) x) (*.f64 y y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y))
(/.f64 (fma.f64 (/.f64 x (*.f64 y y)) (-.f64 #s(literal 1 binary64) y) x) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y))
(/.f64 (*.f64 (-.f64 (/.f64 x y) x) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal -1 binary64))) 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))
(* 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 (* -1 (pow y 2))))
(*.f64 y (-.f64 x (*.f64 x y)))
(* x (+ y (* -1 (pow y 2))))
(*.f64 y (-.f64 x (*.f64 x y)))
(* x (+ y (* -1 (pow y 2))))
(*.f64 y (-.f64 x (*.f64 x y)))
(* x (+ y (* -1 (pow y 2))))
(*.f64 y (-.f64 x (*.f64 x y)))
(* x (+ y (* -1 (pow y 2))))
(*.f64 y (-.f64 x (*.f64 x y)))
(* x (+ y (* -1 (pow y 2))))
(*.f64 y (-.f64 x (*.f64 x y)))
(* x (+ y (* -1 (pow y 2))))
(*.f64 y (-.f64 x (*.f64 x y)))
(* x (+ y (* -1 (pow y 2))))
(*.f64 y (-.f64 x (*.f64 x y)))
(* x (+ y (* -1 (pow y 2))))
(*.f64 y (-.f64 x (*.f64 x y)))
(* x (+ y (* -1 (pow y 2))))
(*.f64 y (-.f64 x (*.f64 x y)))
(* x (+ y (* -1 (pow y 2))))
(*.f64 y (-.f64 x (*.f64 x y)))
(* x (+ y (* -1 (pow y 2))))
(*.f64 y (-.f64 x (*.f64 x y)))
(* x y)
(*.f64 x y)
(* y (+ x (* -1 (* x y))))
(*.f64 y (-.f64 x (*.f64 x y)))
(* y (+ x (* -1 (* x y))))
(*.f64 y (-.f64 x (*.f64 x y)))
(* y (+ x (* -1 (* x y))))
(*.f64 y (-.f64 x (*.f64 x y)))
(* -1 (* x (pow y 2)))
(*.f64 x (*.f64 y (neg.f64 y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 y (-.f64 x (*.f64 x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 y (-.f64 x (*.f64 x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 y (-.f64 x (*.f64 x y)))
(* -1 (* x (pow y 2)))
(*.f64 x (*.f64 y (neg.f64 y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 y (-.f64 x (*.f64 x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 y (-.f64 x (*.f64 x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 y (-.f64 x (*.f64 x y)))
y
(* y (+ 1 (* -1 y)))
(-.f64 y (*.f64 y y))
(* y (+ 1 (* -1 y)))
(-.f64 y (*.f64 y y))
(* y (+ 1 (* -1 y)))
(-.f64 y (*.f64 y y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* (pow y 2) (- (/ 1 y) 1))
(-.f64 y (*.f64 y y))
(* (pow y 2) (- (/ 1 y) 1))
(-.f64 y (*.f64 y y))
(* (pow y 2) (- (/ 1 y) 1))
(-.f64 y (*.f64 y y))
(* -1 (pow y 2))
(*.f64 y (neg.f64 y))
(* (pow y 2) (- (/ 1 y) 1))
(-.f64 y (*.f64 y y))
(* (pow y 2) (- (/ 1 y) 1))
(-.f64 y (*.f64 y y))
(* (pow y 2) (- (/ 1 y) 1))
(-.f64 y (*.f64 y y))
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* x (- 1 (/ 1 y)))
(-.f64 x (/.f64 x y))
(* x (- 1 (/ 1 y)))
(-.f64 x (/.f64 x y))
(* x (- 1 (/ 1 y)))
(-.f64 x (/.f64 x y))
(* x (- 1 (/ 1 y)))
(-.f64 x (/.f64 x y))
(* x (- 1 (/ 1 y)))
(-.f64 x (/.f64 x y))
(* x (- 1 (/ 1 y)))
(-.f64 x (/.f64 x y))
(* x (- 1 (/ 1 y)))
(-.f64 x (/.f64 x y))
(* x (- 1 (/ 1 y)))
(-.f64 x (/.f64 x y))
(* -1 (* x (- (/ 1 y) 1)))
(-.f64 x (/.f64 x y))
(* -1 (* x (- (/ 1 y) 1)))
(-.f64 x (/.f64 x y))
(* -1 (* x (- (/ 1 y) 1)))
(-.f64 x (/.f64 x y))
(* -1 (* x (- (/ 1 y) 1)))
(-.f64 x (/.f64 x y))
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(/ (- (* x y) x) y)
(-.f64 x (/.f64 x y))
(/ (- (* x y) x) y)
(-.f64 x (/.f64 x y))
(/ (- (* x y) x) y)
(-.f64 x (/.f64 x y))
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(+ x (* -1 (/ x y)))
(-.f64 x (/.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)

eval217.0ms (3.2%)

Memory
5.6MiB live, 161.6MiB allocated
Compiler

Compiled 12 207 to 1 411 computations (88.4% saved)

prune296.0ms (4.4%)

Memory
-17.2MiB live, 144.8MiB allocated
Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New6771678
Fresh011
Picked055
Done011
Total6778685
Accuracy
100.0%
Counts
685 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.4%
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
45.1%
(-.f64 x (/.f64 x y))
91.7%
(*.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) y)
90.3%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (*.f64 x y))
55.0%
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)
55.0%
(*.f64 x (fma.f64 y (neg.f64 y) y))
55.5%
(*.f64 x y)
45.8%
x
Compiler

Compiled 62 to 39 computations (37.1% saved)

simplify84.0ms (1.3%)

Memory
26.6MiB live, 66.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x y)
cost-diff0
(+.f64 y #s(literal 1 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (*.f64 x y))
cost-diff0
(-.f64 #s(literal 1 binary64) y)
cost-diff0
(*.f64 x (-.f64 #s(literal 1 binary64) y))
cost-diff0
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)
Rules
640×accelerator-lowering-fma.f32
640×accelerator-lowering-fma.f64
440×*-lowering-*.f32
440×*-lowering-*.f64
300×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01041
12539
25539
310839
419539
529339
640639
764739
883239
999039
10123239
11142339
12142539
13142739
14143039
15143139
0143139
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* (* x (- 1 y)) y)
(* x (- 1 y))
x
(- 1 y)
1
y
(* (/ 1 (+ y 1)) (* x y))
(/ 1 (+ y 1))
1
(+ y 1)
y
(* x y)
x
Outputs
(* (* x (- 1 y)) y)
(*.f64 x (-.f64 y (*.f64 y y)))
(* x (- 1 y))
(-.f64 x (*.f64 x y))
x
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y
(* (/ 1 (+ y 1)) (* x y))
(/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))
(/ 1 (+ y 1))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))
1
#s(literal 1 binary64)
(+ y 1)
(+.f64 #s(literal 1 binary64) y)
y
(* x y)
(*.f64 x y)
x

localize125.0ms (1.9%)

Memory
-27.1MiB live, 51.6MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 y #s(literal 1 binary64))
accuracy100.0%
(*.f64 x y)
accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))
accuracy90.3%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (*.f64 x y))
accuracy100.0%
(-.f64 #s(literal 1 binary64) y)
accuracy100.0%
(*.f64 x (-.f64 #s(literal 1 binary64) y))
accuracy99.9%
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)
Samples
63.0ms256×0valid
Compiler

Compiled 43 to 12 computations (72.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-div: 45.0ms (81.8% of total)
ival-mult: 7.0ms (12.7% of total)
ival-sub: 1.0ms (1.8% of total)
ival-add: 1.0ms (1.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
7.2MiB live, 7.2MiB allocated
Counts
7 → 132
Calls
Call 1
Inputs
#<alt (* (* x (- 1 y)) y)>
#<alt (* x (- 1 y))>
#<alt (- 1 y)>
#<alt (* (/ 1 (+ y 1)) (* x y))>
#<alt (/ 1 (+ y 1))>
#<alt (+ y 1)>
#<alt (* x y)>
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 (* -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 (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt x>
#<alt (+ x (* -1 (* x y)))>
#<alt (+ x (* -1 (* x y)))>
#<alt (+ x (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (/ x y)))>
#<alt (* y (+ (* -1 x) (/ x y)))>
#<alt (* y (+ (* -1 x) (/ x y)))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (+ x (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ x 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 (* 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 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* y (- y 1)))>
#<alt (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))>
#<alt (/ 1 y)>
#<alt (/ (- 1 (/ 1 y)) y)>
#<alt (/ (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) y)>
#<alt (/ (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) y)>
#<alt (/ 1 y)>
#<alt (* -1 (/ (- (/ 1 y) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y)) 1) 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)>
#<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)>
Calls

33 calls:

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

rewrite566.0ms (8.5%)

Memory
14.3MiB live, 566.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 410×*-lowering-*.f32
5 410×*-lowering-*.f64
3 454×/-lowering-/.f32
3 454×/-lowering-/.f64
2 646×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01035
15433
232833
3332833
01121631
Stop Event
iter limit
node limit
Counts
7 → 1 062
Calls
Call 1
Inputs
(* (* x (- 1 y)) y)
(* x (- 1 y))
(- 1 y)
(* (/ 1 (+ y 1)) (* x y))
(/ 1 (+ y 1))
(+ y 1)
(* x y)
Outputs
(+.f64 (*.f64 x y) (*.f64 y (neg.f64 (*.f64 x y))))
(+.f64 (*.f64 x y) (*.f64 (*.f64 x y) (neg.f64 y)))
(+.f64 (*.f64 x y) (*.f64 (neg.f64 (*.f64 x y)) y))
(+.f64 (*.f64 x y) (*.f64 (neg.f64 y) (*.f64 x y)))
(+.f64 (*.f64 (*.f64 x y) (neg.f64 y)) (*.f64 x y))
(+.f64 (*.f64 (neg.f64 y) (*.f64 x y)) (*.f64 x y))
(fma.f64 x y (*.f64 y (neg.f64 (*.f64 x y))))
(fma.f64 x y (*.f64 (*.f64 x y) (neg.f64 y)))
(fma.f64 x y (*.f64 (neg.f64 (*.f64 x y)) y))
(fma.f64 x y (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 y (neg.f64 (*.f64 x y))))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 (*.f64 x y) (neg.f64 y)))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 (neg.f64 (*.f64 x y)) y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 y x (*.f64 y (neg.f64 (*.f64 x y))))
(fma.f64 y x (*.f64 (*.f64 x y) (neg.f64 y)))
(fma.f64 y x (*.f64 (neg.f64 (*.f64 x y)) y))
(fma.f64 y x (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 y (neg.f64 (*.f64 x y))))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 (*.f64 x y) (neg.f64 y)))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 x y)) y))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 (neg.f64 y) (*.f64 x y)))
(fma.f64 (*.f64 x y) (neg.f64 y) (*.f64 x y))
(fma.f64 (neg.f64 y) (*.f64 x y) (*.f64 x y))
(/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))
(/.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))) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 x (*.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))
(/.f64 (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (+.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 y (*.f64 x (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))
(/.f64 (*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (+.f64 #s(literal 1 binary64) y))
(/.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 (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 x y)) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x y)) (+.f64 #s(literal 1 binary64) 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 (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) y) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) y) (+.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (*.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) x) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y))) x) (+.f64 #s(literal 1 binary64) y))
(*.f64 x (fma.f64 y y y))
(*.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y y)))
(*.f64 y (*.f64 x (+.f64 #s(literal 1 binary64) y)))
(*.f64 y (*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) y))))
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) y)
(*.f64 (*.f64 x (fma.f64 y y y)) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 x y))
(*.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y))
(*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (*.f64 x y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) y))))
(*.f64 (fma.f64 y y y) x)
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (*.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64))) (*.f64 x y)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal -1 binary64))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x y)))
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(*.f64 (pow.f64 (/.f64 (+.f64 y (fma.f64 y y #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 (+.f64 y (fma.f64 y y #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 y (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y y)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 (+.f64 y (fma.f64 y 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 y) #s(literal -1 binary64))))
(*.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 y y)))) (exp.f64 (neg.f64 (log1p.f64 (fma.f64 y y y)))))
(*.f64 (exp.f64 (log.f64 (fma.f64 y y #s(literal -1 binary64)))) (exp.f64 (neg.f64 (log.f64 (+.f64 y #s(literal -1 binary64))))))
(*.f64 x y)
(*.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 y x)
(*.f64 (*.f64 x y) #s(literal 1 binary64))

simplify322.0ms (4.8%)

Memory
-6.3MiB live, 629.0MiB allocated
Algorithm
egg-herbie
Rules
14 270×accelerator-lowering-fma.f32
14 270×accelerator-lowering-fma.f64
3 268×*-lowering-*.f32
3 268×*-lowering-*.f64
1 684×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088712
1269696
2593684
31852676
45709676
57728676
08048672
Stop Event
iter limit
node limit
Counts
132 → 132
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 (* -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 (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
x
(+ x (* -1 (* x y)))
(+ x (* -1 (* x y)))
(+ x (* -1 (* x y)))
(* -1 (* x y))
(* y (+ (* -1 x) (/ x y)))
(* y (+ (* -1 x) (/ x y)))
(* y (+ (* -1 x) (/ x y)))
(* -1 (* x y))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (* y (+ x (* -1 (/ x 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)
(* 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))
1
(+ 1 (* -1 y))
(+ 1 (* y (- y 1)))
(+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))
(/ 1 y)
(/ (- 1 (/ 1 y)) y)
(/ (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) y)
(/ (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) y)
(/ 1 y)
(* -1 (/ (- (/ 1 y) 1) y))
(* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y)) 1) 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)
(* 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)
Outputs
(* 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)))
(* 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 x (*.f64 y (neg.f64 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)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 x (-.f64 y (*.f64 y y)))
(* -1 (* x (pow y 2)))
(*.f64 x (*.f64 y (neg.f64 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)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 x (-.f64 y (*.f64 y y)))
(* x (- 1 y))
(-.f64 x (*.f64 x y))
(* x (- 1 y))
(-.f64 x (*.f64 x y))
(* x (- 1 y))
(-.f64 x (*.f64 x y))
(* x (- 1 y))
(-.f64 x (*.f64 x y))
(* x (- 1 y))
(-.f64 x (*.f64 x y))
(* x (- 1 y))
(-.f64 x (*.f64 x y))
(* x (- 1 y))
(-.f64 x (*.f64 x y))
(* x (- 1 y))
(-.f64 x (*.f64 x y))
(* x (- 1 y))
(-.f64 x (*.f64 x y))
(* x (- 1 y))
(-.f64 x (*.f64 x y))
(* x (- 1 y))
(-.f64 x (*.f64 x y))
(* x (- 1 y))
(-.f64 x (*.f64 x y))
x
(+ x (* -1 (* x y)))
(-.f64 x (*.f64 x y))
(+ x (* -1 (* x y)))
(-.f64 x (*.f64 x y))
(+ x (* -1 (* x y)))
(-.f64 x (*.f64 x y))
(* -1 (* x y))
(*.f64 y (neg.f64 x))
(* y (+ (* -1 x) (/ x y)))
(-.f64 x (*.f64 x y))
(* y (+ (* -1 x) (/ x y)))
(-.f64 x (*.f64 x y))
(* y (+ (* -1 x) (/ x y)))
(-.f64 x (*.f64 x y))
(* -1 (* x y))
(*.f64 y (neg.f64 x))
(* -1 (* y (+ x (* -1 (/ x y)))))
(-.f64 x (*.f64 x y))
(* -1 (* y (+ x (* -1 (/ x y)))))
(-.f64 x (*.f64 x y))
(* -1 (* y (+ x (* -1 (/ x y)))))
(-.f64 x (*.f64 x 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)
(* 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 (-.f64 #s(literal 1 binary64) y) (fma.f64 x (*.f64 y y) x)))
x
(+ x (* -1 (/ x y)))
(-.f64 x (/.f64 x y))
(- (+ x (/ x (pow y 2))) (/ x y))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y y)) x)
(- (+ 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)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y y)) x)
(+ 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 (*.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)))
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* y (- y 1)))
(-.f64 (fma.f64 y y #s(literal 1 binary64)) y)
(+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y y #s(literal 1 binary64)))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (- 1 (/ 1 y)) y)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)
(/ (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) y)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) y)
(/ (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) y)
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y)))) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(* -1 (/ (- (/ 1 y) 1) y))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y)
(* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) y)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y)) 1) y))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y)))) 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))
(* 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)

eval146.0ms (2.2%)

Memory
29.3MiB live, 377.8MiB allocated
Compiler

Compiled 33 189 to 3 279 computations (90.1% saved)

prune141.0ms (2.1%)

Memory
-7.0MiB live, 431.7MiB allocated
Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New1 19401 194
Fresh000
Picked022
Done066
Total1 19481 202
Accuracy
100.0%
Counts
1 202 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.4%
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
45.1%
(-.f64 x (/.f64 x y))
91.7%
(*.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) y)
90.3%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (*.f64 x y))
55.0%
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)
55.0%
(*.f64 x (fma.f64 y (neg.f64 y) y))
55.5%
(*.f64 x y)
45.8%
x
Compiler

Compiled 110 to 57 computations (48.2% saved)

regimes12.0ms (0.2%)

Memory
-6.6MiB live, 31.1MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
x
(*.f64 x y)
(*.f64 x (fma.f64 y (neg.f64 y) y))
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)
(-.f64 x (/.f64 x y))
(*.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) y)
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (*.f64 x y))
Outputs
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
x
Calls

3 calls:

5.0ms
x
3.0ms
y
3.0ms
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
99.9%2x
100.0%3y
99.9%2(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory
28.9MiB live, 28.9MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
x
(*.f64 x y)
(*.f64 x (fma.f64 y (neg.f64 y) y))
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)
(-.f64 x (/.f64 x y))
(*.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) y)
Outputs
(-.f64 x (/.f64 x y))
(*.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) y)
x
Calls

3 calls:

3.0ms
x
3.0ms
y
3.0ms
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
100.0%3y
91.7%1x
91.7%1(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory
-28.5MiB live, 10.3MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
x
(*.f64 x y)
(*.f64 x (fma.f64 y (neg.f64 y) y))
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)
(-.f64 x (/.f64 x y))
Outputs
(-.f64 x (/.f64 x y))
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)
(-.f64 x (/.f64 x y))
Calls

1 calls:

4.0ms
y
Results
AccuracySegmentsBranch
98.4%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Memory
9.6MiB live, 9.6MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
x
(*.f64 x y)
(*.f64 x (fma.f64 y (neg.f64 y) y))
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)
Outputs
x
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)
x
Calls

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
97.5%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

Memory
8.0MiB live, 7.9MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
x
(*.f64 x y)
(*.f64 x (fma.f64 y (neg.f64 y) y))
Outputs
x
(*.f64 x (fma.f64 y (neg.f64 y) y))
x
Calls

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
97.5%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

Memory
6.4MiB live, 6.4MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
x
(*.f64 x y)
Outputs
x
(*.f64 x y)
x
Calls

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
96.8%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes16.0ms (0.2%)

Memory
-41.6MiB live, 13.5MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
x
Outputs
x
Calls

3 calls:

1.0ms
x
1.0ms
y
1.0ms
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
45.8%1x
45.8%1(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64)))
45.8%1y
Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
5.106449530402972e+226
2.104968457627693e+232
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch25.0ms (0.4%)

Memory
5.4MiB live, 43.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
3163683894.026759
2.6473756877484406e+21
9.0ms
-7720410904395.644
-363242234.8079351
Samples
11.0ms288×0valid
Compiler

Compiled 296 to 207 computations (30.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (36.5% of total)
ival-mult: 2.0ms (36.5% of total)
ival-add: 1.0ms (18.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch24.0ms (0.4%)

Memory
24.5MiB live, 63.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
0.010596707753008344
14.88332223928426
10.0ms
-1225280.3644009982
-0.0009521093358666486
Samples
13.0ms272×0valid
Compiler

Compiled 318 to 215 computations (32.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (38.2% of total)
ival-mult: 2.0ms (38.2% of total)
ival-add: 1.0ms (19.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch26.0ms (0.4%)

Memory
-15.6MiB live, 66.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
0.010596707753008344
14.88332223928426
13.0ms
-1225280.3644009982
-0.0009521093358666486
Samples
16.0ms272×0valid
Compiler

Compiled 250 to 181 computations (27.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 5.0ms (48.6% of total)
ival-div: 4.0ms (38.9% of total)
ival-add: 1.0ms (9.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch42.0ms (0.6%)

Memory
5.6MiB live, 44.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
30.0ms
0.010596707753008344
14.88332223928426
10.0ms
-1225280.3644009982
-0.0009521093358666486
Samples
11.0ms272×0valid
Compiler

Compiled 250 to 164 computations (34.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (38.1% of total)
ival-mult: 2.0ms (38.1% of total)
ival-add: 1.0ms (19.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch356.0ms (5.3%)

Memory
0.8MiB live, 40.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
9.0ms
0.010596707753008344
14.88332223928426
345.0ms
-1225280.3644009982
-0.0009521093358666486
Samples
346.0ms272×0valid
Compiler

Compiled 182 to 130 computations (28.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (38.4% of total)
ival-mult: 2.0ms (38.4% of total)
ival-add: 1.0ms (19.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify10.0ms (0.2%)

Memory
14.9MiB live, 14.9MiB allocated
Algorithm
egg-herbie
Rules
16×*-commutative_binary64
12×+-commutative_binary64
10×sub-neg_binary64
if-if-or-not_binary32
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040108
164108
273108
378108
481108
582108
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 100000000000000009283347037202319909689034845245050771098451388126923428081969579920029641209088262542943126809822773697747226137851076470969547585887373208135923963504986275470907025292240033962037948280174037505158080469401600 binary64)) (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) x)
(if (<=.f64 y #s(literal -370000000 binary64)) (-.f64 x (/.f64 x y)) (if (<=.f64 y #s(literal 16000000000000000 binary64)) (*.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) y) x))
(if (<=.f64 y #s(literal -1 binary64)) (-.f64 x (/.f64 x y)) (if (<=.f64 y #s(literal 1 binary64)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y) (-.f64 x (/.f64 x y))))
(if (<=.f64 y #s(literal -1 binary64)) x (if (<=.f64 y #s(literal 3422735716801577/4503599627370496 binary64)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y) x))
(if (<=.f64 y #s(literal -1 binary64)) x (if (<=.f64 y #s(literal 3/4 binary64)) (*.f64 x (fma.f64 y (neg.f64 y) y)) x))
(if (<=.f64 y #s(literal -1 binary64)) x (if (<=.f64 y #s(literal 1 binary64)) (*.f64 x y) x))
x
Outputs
(if (<=.f64 (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 100000000000000009283347037202319909689034845245050771098451388126923428081969579920029641209088262542943126809822773697747226137851076470969547585887373208135923963504986275470907025292240033962037948280174037505158080469401600 binary64)) (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) x)
(if (<=.f64 y #s(literal -370000000 binary64)) (-.f64 x (/.f64 x y)) (if (<=.f64 y #s(literal 16000000000000000 binary64)) (*.f64 (/.f64 x (+.f64 y #s(literal 1 binary64))) y) x))
(if (<=.f64 y #s(literal -370000000 binary64)) (-.f64 x (/.f64 x y)) (if (<=.f64 y #s(literal 16000000000000000 binary64)) (*.f64 y (/.f64 x (+.f64 y #s(literal 1 binary64)))) x))
(if (<=.f64 y #s(literal -1 binary64)) (-.f64 x (/.f64 x y)) (if (<=.f64 y #s(literal 1 binary64)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y) (-.f64 x (/.f64 x y))))
(if (<=.f64 y #s(literal -1 binary64)) (-.f64 x (/.f64 x y)) (if (<=.f64 y #s(literal 1 binary64)) (*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y))) (-.f64 x (/.f64 x y))))
(if (<=.f64 y #s(literal -1 binary64)) x (if (<=.f64 y #s(literal 3422735716801577/4503599627370496 binary64)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y) x))
(if (<=.f64 y #s(literal -1 binary64)) x (if (<=.f64 y #s(literal 3422735716801577/4503599627370496 binary64)) (*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y))) x))
(if (<=.f64 y #s(literal -1 binary64)) x (if (<=.f64 y #s(literal 3/4 binary64)) (*.f64 x (fma.f64 y (neg.f64 y) y)) x))
(if (<=.f64 y #s(literal -1 binary64)) x (if (<=.f64 y #s(literal 1 binary64)) (*.f64 x y) x))
x

soundness1.1s (15.8%)

Memory
-24.4MiB live, 418.5MiB allocated
Rules
9 976×accelerator-lowering-fma.f32
9 976×accelerator-lowering-fma.f64
6 116×accelerator-lowering-fma.f32
6 116×accelerator-lowering-fma.f64
5 518×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01342
18040
261040
0811140
046299
1135290
2274282
31008276
44085276
55964276
67080276
77763276
08010274
0613
13213
220013
3189013
0840113
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 205 to 96 computations (53.2% saved)

preprocess70.0ms (1%)

Memory
8.4MiB live, 126.5MiB allocated
Remove

(negabs x)

Compiler

Compiled 370 to 154 computations (58.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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