Diagrams.Solve.Polynomial:quartForm from diagrams-solve-0.1, A

Time bar (total: 3.1s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 9 to 9 computations (0% saved)

sample877.0ms (28.2%)

Memory
6.2MiB live, 1 233.6MiB allocated
Samples
431.0ms7 615×0valid
31.0ms211×2valid
20.0ms283×1valid
15.0ms147×3valid
Precisions
Click to see histograms. Total time spent on operations: 224.0ms
ival-sub: 78.0ms (34.9% of total)
ival-div: 65.0ms (29.1% of total)
ival-mult: 51.0ms (22.8% of total)
adjust: 12.0ms (5.4% of total)
exact: 7.0ms (3.1% of total)
ival-true: 6.0ms (2.7% of total)
ival-assert: 3.0ms (1.3% of total)
Bogosity

explain127.0ms (4.1%)

Memory
-6.6MiB live, 110.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-#s(literal 8 binary64)
00-0-y
00-0-#s(literal 3 binary64)
00-0-(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
00-0-(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
00-0-(/.f64 #s(literal 3 binary64) #s(literal 8 binary64))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
26.0ms472×0valid
2.0ms20×2valid
1.0ms10×3valid
1.0ms10×1valid
Compiler

Compiled 49 to 25 computations (49% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-div: 4.0ms (34.5% of total)
ival-mult: 3.0ms (25.9% of total)
ival-sub: 3.0ms (25.9% of total)
adjust: 1.0ms (8.6% of total)
exact: 1.0ms (8.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess27.0ms (0.9%)

Memory
12.6MiB live, 47.9MiB allocated
Algorithm
1×egg-herbie
Rules
128×lower-fma.f64
128×lower-fma.f32
80×lower-*.f32
78×lower-*.f64
48×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01629
14427
28825
316325
423925
525725
626325
075
0115
1185
2285
3375
4495
5675
61025
71305
81665
91905
102045
02044
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
Outputs
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
(fma.f64 #s(literal -3/8 binary64) y x)
Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory
2.7MiB live, 2.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
Compiler

Compiled 7 to 7 computations (0% saved)

simplify12.0ms (0.4%)

Memory
-18.8MiB live, 17.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
cost-diff128
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
cost-diff704
(/.f64 #s(literal 3 binary64) #s(literal 8 binary64))
Rules
128×lower-fma.f64
128×lower-fma.f32
80×lower-*.f32
78×lower-*.f64
40×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
01113
11813
22813
33713
44913
56713
610213
713013
816613
919013
1020413
020412
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
x
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
(/.f64 #s(literal 3 binary64) #s(literal 8 binary64))
#s(literal 3 binary64)
#s(literal 8 binary64)
y
Outputs
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
(fma.f64 #s(literal -3/8 binary64) y x)
x
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
(*.f64 y #s(literal 3/8 binary64))
(/.f64 #s(literal 3 binary64) #s(literal 8 binary64))
#s(literal 3/8 binary64)
#s(literal 3 binary64)
#s(literal 8 binary64)
y

localize22.0ms (0.7%)

Memory
-12.9MiB live, 39.0MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 #s(literal 3 binary64) #s(literal 8 binary64))
accuracy0
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
accuracy0.0859375
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
Samples
10.0ms236×0valid
1.0ms10×2valid
1.0ms5×3valid
0.0ms5×1valid
Compiler

Compiled 21 to 9 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (35.5% of total)
ival-mult: 2.0ms (35.5% of total)
ival-sub: 2.0ms (35.5% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
5.1MiB live, 5.1MiB allocated
Counts
3 → 36
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) (patch (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) (patch (-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) (patch (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) #<representation binary64>) () ())
Outputs
#s(alt x (taylor 0 y) (#s(alt (-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) (patch (-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -3/8 y)) (taylor 0 y) (#s(alt (-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) (patch (-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -3/8 y)) (taylor 0 y) (#s(alt (-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) (patch (-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -3/8 y)) (taylor 0 y) (#s(alt (-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) (patch (-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* 3/8 y) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) (patch (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3/8 y) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) (patch (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3/8 y) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) (patch (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3/8 y) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) (patch (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -3/8 y) (taylor inf y) (#s(alt (-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) (patch (-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 3/8)) (taylor inf y) (#s(alt (-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) (patch (-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 3/8)) (taylor inf y) (#s(alt (-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) (patch (-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 3/8)) (taylor inf y) (#s(alt (-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) (patch (-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* 3/8 y) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) (patch (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3/8 y) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) (patch (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3/8 y) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) (patch (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3/8 y) (taylor inf y) (#s(alt (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) (patch (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -3/8 y) (taylor -inf y) (#s(alt (-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) (patch (-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 3/8 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) (patch (-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 3/8 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) (patch (-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 3/8 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) (patch (-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* 3/8 y) (taylor -inf y) (#s(alt (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) (patch (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3/8 y) (taylor -inf y) (#s(alt (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) (patch (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3/8 y) (taylor -inf y) (#s(alt (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) (patch (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 3/8 y) (taylor -inf y) (#s(alt (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) (patch (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* -3/8 y) (taylor 0 x) (#s(alt (-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) (patch (-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (- x (* 3/8 y)) (taylor 0 x) (#s(alt (-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) (patch (-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (- x (* 3/8 y)) (taylor 0 x) (#s(alt (-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) (patch (-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (- x (* 3/8 y)) (taylor 0 x) (#s(alt (-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) (patch (-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) (patch (-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -3/8 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) (patch (-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -3/8 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) (patch (-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -3/8 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) (patch (-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) (patch (-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 3/8 (/ y x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) (patch (-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 3/8 (/ y x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) (patch (-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 3/8 (/ y x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) (patch (-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@inf
((/ 3 8) (- x (* (/ 3 8) y)) (* (/ 3 8) y))
1.0ms
y
@-inf
((/ 3 8) (- x (* (/ 3 8) y)) (* (/ 3 8) y))
0.0ms
x
@-inf
((/ 3 8) (- x (* (/ 3 8) y)) (* (/ 3 8) y))
0.0ms
y
@0
((/ 3 8) (- x (* (/ 3 8) y)) (* (/ 3 8) y))
0.0ms
x
@inf
((/ 3 8) (- x (* (/ 3 8) y)) (* (/ 3 8) y))

simplify222.0ms (7.1%)

Memory
27.9MiB live, 138.4MiB allocated
Algorithm
1×egg-herbie
Rules
3 160×lower-fma.f64
3 160×lower-fma.f32
2 584×lower-*.f64
2 584×lower-*.f32
2 384×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025138
168138
2170138
3455138
41250138
52475138
63277138
73613138
83909138
94090138
105236138
116032138
126800138
137068138
147848138
08384120
Stop Event
1×iter limit
1×node limit
Counts
36 → 33
Calls
Call 1
Inputs
x
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* -3/8 y)
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* -3/8 y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* -3/8 y)
(- x (* 3/8 y))
(- x (* 3/8 y))
(- x (* 3/8 y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
Outputs
x
(+ x (* -3/8 y))
(fma.f64 y #s(literal -3/8 binary64) x)
(+ x (* -3/8 y))
(fma.f64 y #s(literal -3/8 binary64) x)
(+ x (* -3/8 y))
(fma.f64 y #s(literal -3/8 binary64) x)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* y (- (/ x y) 3/8))
(fma.f64 y #s(literal -3/8 binary64) x)
(* y (- (/ x y) 3/8))
(fma.f64 y #s(literal -3/8 binary64) x)
(* y (- (/ x y) 3/8))
(fma.f64 y #s(literal -3/8 binary64) x)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(fma.f64 y #s(literal -3/8 binary64) x)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(fma.f64 y #s(literal -3/8 binary64) x)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(fma.f64 y #s(literal -3/8 binary64) x)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(- x (* 3/8 y))
(fma.f64 y #s(literal -3/8 binary64) x)
(- x (* 3/8 y))
(fma.f64 y #s(literal -3/8 binary64) x)
(- x (* 3/8 y))
(fma.f64 y #s(literal -3/8 binary64) x)
x
(* x (+ 1 (* -3/8 (/ y x))))
(fma.f64 y #s(literal -3/8 binary64) x)
(* x (+ 1 (* -3/8 (/ y x))))
(fma.f64 y #s(literal -3/8 binary64) x)
(* x (+ 1 (* -3/8 (/ y x))))
(fma.f64 y #s(literal -3/8 binary64) x)
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(fma.f64 y #s(literal -3/8 binary64) x)
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(fma.f64 y #s(literal -3/8 binary64) x)
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(fma.f64 y #s(literal -3/8 binary64) x)

rewrite386.0ms (12.4%)

Memory
2.5MiB live, 205.4MiB allocated
Rules
11 564×lower-fma.f64
11 564×lower-fma.f32
4 300×lower-*.f32
4 298×lower-*.f64
3 918×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
0119
1309
21879
316939
086638
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
3 → 205
Calls
Call 1
Inputs
(/.f64 #s(literal 3 binary64) #s(literal 8 binary64))
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
Outputs
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eval129.0ms (4.1%)

Memory
7.2MiB live, 44.0MiB allocated
Compiler

Compiled 7 170 to 605 computations (91.6% saved)

prune121.0ms (3.9%)

Memory
-21.9MiB live, 14.7MiB allocated
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New2362238
Fresh000
Picked101
Done000
Total2372239
Accuracy
100.0%
Counts
239 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(fma.f64 y #s(literal -3/8 binary64) x)
▶48.7%
#s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64)))
Compiler

Compiled 8 to 9 computations (-12.5% saved)

simplify9.0ms (0.3%)

Memory
17.4MiB live, 17.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 y #s(literal -3/8 binary64) x)
cost-diff0
(*.f64 y #s(literal -3/8 binary64))
cost-diff0
#s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64)))
Rules
128×lower-fma.f32
126×lower-fma.f64
80×lower-*.f32
78×lower-*.f64
40×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01221
01420
12120
22920
33820
45120
56920
610420
713120
816720
919120
1020520
020520
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64)))
(*.f64 y #s(literal -3/8 binary64))
y
#s(literal -3/8 binary64)
(fma.f64 y #s(literal -3/8 binary64) x)
y
#s(literal -3/8 binary64)
x
Outputs
#s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64)))
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
(*.f64 y #s(literal -3/8 binary64))
(*.f64 #s(literal -3/8 binary64) y)
y
#s(literal -3/8 binary64)
(fma.f64 y #s(literal -3/8 binary64) x)
(fma.f64 #s(literal -3/8 binary64) y x)
y
#s(literal -3/8 binary64)
x

localize126.0ms (4%)

Memory
8.1MiB live, 43.6MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 y #s(literal -3/8 binary64) x)
accuracy0
(*.f64 y #s(literal -3/8 binary64))
accuracy32.86344391722645
#s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64)))
Samples
15.0ms236×0valid
1.0ms10×2valid
1.0ms5×3valid
0.0ms5×1valid
Compiler

Compiled 22 to 12 computations (45.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 3.0ms (33.9% of total)
ival-div: 2.0ms (22.6% of total)
adjust: 1.0ms (11.3% of total)
ival-add: 1.0ms (11.3% of total)
ival-sub: 1.0ms (11.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
4.6MiB live, 4.6MiB allocated
Counts
3 → 60
Calls
Call 1
Inputs
#s(alt #s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) (patch #s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 y #s(literal -3/8 binary64)) (patch (*.f64 y #s(literal -3/8 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 y #s(literal -3/8 binary64) x) (patch (fma.f64 y #s(literal -3/8 binary64) x) #<representation binary64>) () ())
Outputs
#s(alt x (taylor 0 y) (#s(alt #s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) (patch #s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -3/8 y)) (taylor 0 y) (#s(alt #s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) (patch #s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -3/8 y)) (taylor 0 y) (#s(alt #s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) (patch #s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -3/8 y)) (taylor 0 y) (#s(alt #s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) (patch #s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -3/8 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal -3/8 binary64)) (patch (*.f64 y #s(literal -3/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3/8 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal -3/8 binary64)) (patch (*.f64 y #s(literal -3/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3/8 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal -3/8 binary64)) (patch (*.f64 y #s(literal -3/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3/8 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal -3/8 binary64)) (patch (*.f64 y #s(literal -3/8 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (fma.f64 y #s(literal -3/8 binary64) x) (patch (fma.f64 y #s(literal -3/8 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -3/8 y)) (taylor 0 y) (#s(alt (fma.f64 y #s(literal -3/8 binary64) x) (patch (fma.f64 y #s(literal -3/8 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -3/8 y)) (taylor 0 y) (#s(alt (fma.f64 y #s(literal -3/8 binary64) x) (patch (fma.f64 y #s(literal -3/8 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -3/8 y)) (taylor 0 y) (#s(alt (fma.f64 y #s(literal -3/8 binary64) x) (patch (fma.f64 y #s(literal -3/8 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -3/8 y) (taylor inf y) (#s(alt #s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) (patch #s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 3/8)) (taylor inf y) (#s(alt #s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) (patch #s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 3/8)) (taylor inf y) (#s(alt #s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) (patch #s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 3/8)) (taylor inf y) (#s(alt #s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) (patch #s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -3/8 y) (taylor inf y) (#s(alt (*.f64 y #s(literal -3/8 binary64)) (patch (*.f64 y #s(literal -3/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3/8 y) (taylor inf y) (#s(alt (*.f64 y #s(literal -3/8 binary64)) (patch (*.f64 y #s(literal -3/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3/8 y) (taylor inf y) (#s(alt (*.f64 y #s(literal -3/8 binary64)) (patch (*.f64 y #s(literal -3/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3/8 y) (taylor inf y) (#s(alt (*.f64 y #s(literal -3/8 binary64)) (patch (*.f64 y #s(literal -3/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3/8 y) (taylor inf y) (#s(alt (fma.f64 y #s(literal -3/8 binary64) x) (patch (fma.f64 y #s(literal -3/8 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 3/8)) (taylor inf y) (#s(alt (fma.f64 y #s(literal -3/8 binary64) x) (patch (fma.f64 y #s(literal -3/8 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 3/8)) (taylor inf y) (#s(alt (fma.f64 y #s(literal -3/8 binary64) x) (patch (fma.f64 y #s(literal -3/8 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 3/8)) (taylor inf y) (#s(alt (fma.f64 y #s(literal -3/8 binary64) x) (patch (fma.f64 y #s(literal -3/8 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -3/8 y) (taylor -inf y) (#s(alt #s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) (patch #s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 3/8 (* -1 (/ x y))))) (taylor -inf y) (#s(alt #s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) (patch #s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 3/8 (* -1 (/ x y))))) (taylor -inf y) (#s(alt #s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) (patch #s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 3/8 (* -1 (/ x y))))) (taylor -inf y) (#s(alt #s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) (patch #s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -3/8 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal -3/8 binary64)) (patch (*.f64 y #s(literal -3/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3/8 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal -3/8 binary64)) (patch (*.f64 y #s(literal -3/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3/8 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal -3/8 binary64)) (patch (*.f64 y #s(literal -3/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3/8 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal -3/8 binary64)) (patch (*.f64 y #s(literal -3/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3/8 y) (taylor -inf y) (#s(alt (fma.f64 y #s(literal -3/8 binary64) x) (patch (fma.f64 y #s(literal -3/8 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 3/8 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (fma.f64 y #s(literal -3/8 binary64) x) (patch (fma.f64 y #s(literal -3/8 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 3/8 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (fma.f64 y #s(literal -3/8 binary64) x) (patch (fma.f64 y #s(literal -3/8 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 3/8 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (fma.f64 y #s(literal -3/8 binary64) x) (patch (fma.f64 y #s(literal -3/8 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -3/8 y) (taylor 0 x) (#s(alt #s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) (patch #s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (- x (* 3/8 y)) (taylor 0 x) (#s(alt #s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) (patch #s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (- x (* 3/8 y)) (taylor 0 x) (#s(alt #s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) (patch #s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (- x (* 3/8 y)) (taylor 0 x) (#s(alt #s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) (patch #s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -3/8 y) (taylor 0 x) (#s(alt (fma.f64 y #s(literal -3/8 binary64) x) (patch (fma.f64 y #s(literal -3/8 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -3/8 y)) (taylor 0 x) (#s(alt (fma.f64 y #s(literal -3/8 binary64) x) (patch (fma.f64 y #s(literal -3/8 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -3/8 y)) (taylor 0 x) (#s(alt (fma.f64 y #s(literal -3/8 binary64) x) (patch (fma.f64 y #s(literal -3/8 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -3/8 y)) (taylor 0 x) (#s(alt (fma.f64 y #s(literal -3/8 binary64) x) (patch (fma.f64 y #s(literal -3/8 binary64) x) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt #s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) (patch #s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -3/8 (/ y x)))) (taylor inf x) (#s(alt #s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) (patch #s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -3/8 (/ y x)))) (taylor inf x) (#s(alt #s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) (patch #s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -3/8 (/ y x)))) (taylor inf x) (#s(alt #s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) (patch #s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (fma.f64 y #s(literal -3/8 binary64) x) (patch (fma.f64 y #s(literal -3/8 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -3/8 (/ y x)))) (taylor inf x) (#s(alt (fma.f64 y #s(literal -3/8 binary64) x) (patch (fma.f64 y #s(literal -3/8 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -3/8 (/ y x)))) (taylor inf x) (#s(alt (fma.f64 y #s(literal -3/8 binary64) x) (patch (fma.f64 y #s(literal -3/8 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -3/8 (/ y x)))) (taylor inf x) (#s(alt (fma.f64 y #s(literal -3/8 binary64) x) (patch (fma.f64 y #s(literal -3/8 binary64) x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) (patch #s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 3/8 (/ y x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) (patch #s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 3/8 (/ y x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) (patch #s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 3/8 (/ y x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) (patch #s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (fma.f64 y #s(literal -3/8 binary64) x) (patch (fma.f64 y #s(literal -3/8 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 3/8 (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 y #s(literal -3/8 binary64) x) (patch (fma.f64 y #s(literal -3/8 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 3/8 (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 y #s(literal -3/8 binary64) x) (patch (fma.f64 y #s(literal -3/8 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 3/8 (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 y #s(literal -3/8 binary64) x) (patch (fma.f64 y #s(literal -3/8 binary64) x) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
0.0ms
y
@inf
((- x (* (/ 3 8) y)) (* y -3/8) (+ (* y -3/8) x))
0.0ms
y
@0
((- x (* (/ 3 8) y)) (* y -3/8) (+ (* y -3/8) x))
0.0ms
y
@-inf
((- x (* (/ 3 8) y)) (* y -3/8) (+ (* y -3/8) x))
0.0ms
x
@inf
((- x (* (/ 3 8) y)) (* y -3/8) (+ (* y -3/8) x))
0.0ms
x
@-inf
((- x (* (/ 3 8) y)) (* y -3/8) (+ (* y -3/8) x))

simplify207.0ms (6.6%)

Memory
-36.6MiB live, 52.0MiB allocated
Algorithm
1×egg-herbie
Rules
3 160×lower-fma.f64
3 160×lower-fma.f32
2 584×lower-*.f64
2 584×lower-*.f32
2 384×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025240
168240
2170240
3456240
41244240
52466240
63268240
73604240
83900240
94084240
105232240
116028240
126796240
137064240
147844240
08380204
Stop Event
1×iter limit
1×node limit
Counts
60 → 54
Calls
Call 1
Inputs
x
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
x
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(* -3/8 y)
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* y (- (/ x y) 3/8))
(* -3/8 y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -3/8 y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(* -3/8 y)
(- x (* 3/8 y))
(- x (* 3/8 y))
(- x (* 3/8 y))
(* -3/8 y)
(+ x (* -3/8 y))
(+ x (* -3/8 y))
(+ x (* -3/8 y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
x
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
(* x (+ 1 (* -3/8 (/ y x))))
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
Outputs
x
(+ x (* -3/8 y))
(fma.f64 y #s(literal -3/8 binary64) x)
(+ x (* -3/8 y))
(fma.f64 y #s(literal -3/8 binary64) x)
(+ x (* -3/8 y))
(fma.f64 y #s(literal -3/8 binary64) x)
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
x
(+ x (* -3/8 y))
(fma.f64 y #s(literal -3/8 binary64) x)
(+ x (* -3/8 y))
(fma.f64 y #s(literal -3/8 binary64) x)
(+ x (* -3/8 y))
(fma.f64 y #s(literal -3/8 binary64) x)
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* y (- (/ x y) 3/8))
(fma.f64 y #s(literal -3/8 binary64) x)
(* y (- (/ x y) 3/8))
(fma.f64 y #s(literal -3/8 binary64) x)
(* y (- (/ x y) 3/8))
(fma.f64 y #s(literal -3/8 binary64) x)
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* y (- (/ x y) 3/8))
(fma.f64 y #s(literal -3/8 binary64) x)
(* y (- (/ x y) 3/8))
(fma.f64 y #s(literal -3/8 binary64) x)
(* y (- (/ x y) 3/8))
(fma.f64 y #s(literal -3/8 binary64) x)
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(fma.f64 y #s(literal -3/8 binary64) x)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(fma.f64 y #s(literal -3/8 binary64) x)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(fma.f64 y #s(literal -3/8 binary64) x)
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(fma.f64 y #s(literal -3/8 binary64) x)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(fma.f64 y #s(literal -3/8 binary64) x)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(fma.f64 y #s(literal -3/8 binary64) x)
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(- x (* 3/8 y))
(fma.f64 y #s(literal -3/8 binary64) x)
(- x (* 3/8 y))
(fma.f64 y #s(literal -3/8 binary64) x)
(- x (* 3/8 y))
(fma.f64 y #s(literal -3/8 binary64) x)
(* -3/8 y)
(*.f64 y #s(literal -3/8 binary64))
(+ x (* -3/8 y))
(fma.f64 y #s(literal -3/8 binary64) x)
(+ x (* -3/8 y))
(fma.f64 y #s(literal -3/8 binary64) x)
(+ x (* -3/8 y))
(fma.f64 y #s(literal -3/8 binary64) x)
x
(* x (+ 1 (* -3/8 (/ y x))))
(fma.f64 y #s(literal -3/8 binary64) x)
(* x (+ 1 (* -3/8 (/ y x))))
(fma.f64 y #s(literal -3/8 binary64) x)
(* x (+ 1 (* -3/8 (/ y x))))
(fma.f64 y #s(literal -3/8 binary64) x)
x
(* x (+ 1 (* -3/8 (/ y x))))
(fma.f64 y #s(literal -3/8 binary64) x)
(* x (+ 1 (* -3/8 (/ y x))))
(fma.f64 y #s(literal -3/8 binary64) x)
(* x (+ 1 (* -3/8 (/ y x))))
(fma.f64 y #s(literal -3/8 binary64) x)
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(fma.f64 y #s(literal -3/8 binary64) x)
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(fma.f64 y #s(literal -3/8 binary64) x)
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(fma.f64 y #s(literal -3/8 binary64) x)
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(fma.f64 y #s(literal -3/8 binary64) x)
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(fma.f64 y #s(literal -3/8 binary64) x)
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(fma.f64 y #s(literal -3/8 binary64) x)

rewrite217.0ms (7%)

Memory
31.0MiB live, 186.0MiB allocated
Rules
7 594×lower-fma.f32
7 592×lower-fma.f64
4 122×lower-*.f32
4 120×lower-*.f64
3 844×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01216
01415
14315
231815
3334315
0889115
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
3 → 250
Calls
Call 1
Inputs
#s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64)))
(*.f64 y #s(literal -3/8 binary64))
(fma.f64 y #s(literal -3/8 binary64) x)
Outputs
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eval52.0ms (1.7%)

Memory
-26.5MiB live, 95.2MiB allocated
Compiler

Compiled 7 917 to 776 computations (90.2% saved)

prune15.0ms (0.5%)

Memory
-5.0MiB live, 34.3MiB allocated
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New3040304
Fresh000
Picked022
Done000
Total3042306
Accuracy
100.0%
Counts
306 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(fma.f64 y #s(literal -3/8 binary64) x)
✓48.7%
#s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64)))
Compiler

Compiled 23 to 20 computations (13% saved)

regimes8.0ms (0.2%)

Memory
17.6MiB live, 17.6MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64)))
(fma.f64 y #s(literal -3/8 binary64) x)
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
Outputs
(fma.f64 y #s(literal -3/8 binary64) x)
Calls

4 calls:

2.0ms
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
2.0ms
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
100.0%1(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
Compiler

Compiled 14 to 17 computations (-21.4% saved)

regimes6.0ms (0.2%)

Memory
14.6MiB live, 14.6MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64)))
Outputs
#s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64)))
Calls

4 calls:

1.0ms
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
1.0ms
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
48.7%1x
48.7%1y
48.7%1(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
48.7%1(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
Compiler

Compiled 14 to 17 computations (-21.4% saved)

simplify44.0ms (1.4%)

Memory
-9.2MiB live, 68.3MiB allocated
Algorithm
1×egg-herbie
Rules
2×*-commutative-binary64-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01213
11313
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 y #s(literal -3/8 binary64) x)
#s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64)))
Outputs
(fma.f64 y #s(literal -3/8 binary64) x)
#s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64)))
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))

soundness480.0ms (15.4%)

Memory
-43.3MiB live, 259.5MiB allocated
Rules
11 564×lower-fma.f64
11 564×lower-fma.f32
4 300×lower-*.f32
4 298×lower-*.f64
3 918×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025138
168138
2170138
3455138
41250138
52475138
63277138
73613138
83909138
94090138
105236138
116032138
126800138
137068138
147848138
08384120
079
0119
1309
21879
316939
086638
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 22 to 19 computations (13.6% saved)

preprocess20.0ms (0.7%)

Memory
21.1MiB live, 60.1MiB allocated
Compiler

Compiled 30 to 26 computations (13.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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