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

Time bar (total: 3.3s)

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)

sample711.0ms (21.6%)

Memory
36.4MiB live, 1 043.5MiB allocated
Samples
383.0ms7 588×0valid
26.0ms208×2valid
24.0ms157×3valid
18.0ms303×1valid
Precisions
Click to see histograms. Total time spent on operations: 280.0ms
ival-mult: 115.0ms (41% of total)
ival-div: 69.0ms (24.6% of total)
ival-sub: 69.0ms (24.6% of total)
adjust: 12.0ms (4.3% of total)
exact: 7.0ms (2.5% of total)
ival-true: 6.0ms (2.1% of total)
ival-assert: 3.0ms (1.1% of total)
Bogosity

preprocess45.0ms (1.4%)

Memory
-46.4MiB live, 20.3MiB 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 y #s(literal -3/8 binary64) x)

explain94.0ms (2.9%)

Memory
-6.1MiB live, 153.1MiB 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
44.0ms470×0valid
3.0ms22×1valid
2.0ms14×3valid
1.0ms6×2valid
Compiler

Compiled 60 to 32 computations (46.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-sub: 24.0ms (68.2% of total)
ival-div: 6.0ms (17.1% of total)
ival-mult: 3.0ms (8.5% of total)
adjust: 1.0ms (2.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 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
1.8MiB live, 1.8MiB 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 9 to 7 computations (22.2% saved)

simplify11.0ms (0.3%)

Memory
25.5MiB live, 25.5MiB 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 y #s(literal -3/8 binary64) x)
x
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
(*.f64 #s(literal 3/8 binary64) y)
(/.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
-27.2MiB live, 51.5MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 #s(literal 3 binary64) #s(literal 8 binary64))
✓accuracy100.0%
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
✓accuracy99.9%
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
Samples
11.0ms235×0valid
2.0ms11×1valid
1.0ms7×3valid
0.0ms3×2valid
Compiler

Compiled 21 to 9 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sub: 3.0ms (42.8% of total)
ival-div: 2.0ms (28.5% of total)
ival-mult: 1.0ms (14.3% 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)

series3.0ms (0.1%)

Memory
7.0MiB live, 7.0MiB 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 (* -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>) () ())) ())
#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 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 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 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 (/.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 (/.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>) () ())) ())
Calls

9 calls:

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

simplify605.0ms (18.4%)

Memory
30.7MiB live, 305.2MiB 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
52461138
63264138
73600138
83896138
94079138
105224138
116020138
126788138
137056138
147836138
08372120
Stop Event
1×iter limit
1×node limit
Counts
36 → 33
Calls
Call 1
Inputs
(* -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)))
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)
(* -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)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
(* 3/8 y)
Outputs
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(- x (* 3/8 y))
(fma.f64 #s(literal -3/8 binary64) y x)
(- x (* 3/8 y))
(fma.f64 #s(literal -3/8 binary64) y x)
(- x (* 3/8 y))
(fma.f64 #s(literal -3/8 binary64) y x)
x
(* x (+ 1 (* -3/8 (/ y x))))
(fma.f64 #s(literal -3/8 binary64) y x)
(* x (+ 1 (* -3/8 (/ y x))))
(fma.f64 #s(literal -3/8 binary64) y x)
(* x (+ 1 (* -3/8 (/ y x))))
(fma.f64 #s(literal -3/8 binary64) y x)
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(fma.f64 #s(literal -3/8 binary64) y x)
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(fma.f64 #s(literal -3/8 binary64) y x)
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(fma.f64 #s(literal -3/8 binary64) y x)
x
(+ x (* -3/8 y))
(fma.f64 #s(literal -3/8 binary64) y x)
(+ x (* -3/8 y))
(fma.f64 #s(literal -3/8 binary64) y x)
(+ x (* -3/8 y))
(fma.f64 #s(literal -3/8 binary64) y x)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* y (- (/ x y) 3/8))
(fma.f64 #s(literal -3/8 binary64) y x)
(* y (- (/ x y) 3/8))
(fma.f64 #s(literal -3/8 binary64) y x)
(* y (- (/ x y) 3/8))
(fma.f64 #s(literal -3/8 binary64) y x)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(fma.f64 #s(literal -3/8 binary64) y x)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(fma.f64 #s(literal -3/8 binary64) y x)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(fma.f64 #s(literal -3/8 binary64) y 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))
(* 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))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))
(* 3/8 y)
(*.f64 y #s(literal 3/8 binary64))

rewrite420.0ms (12.8%)

Memory
-24.3MiB live, 612.8MiB allocated
Algorithm
1×batch-egg-rewrite
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
#s(literal 3/8 binary64)
(+.f64 x (*.f64 y #s(literal -3/8 binary64)))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(+.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x))) (neg.f64 (/.f64 (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))) (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x)))))
(+.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal 3/8 binary64) y x)) (neg.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (fma.f64 #s(literal 3/8 binary64) y x))))
(+.f64 #s(literal 0 binary64) (fma.f64 y #s(literal -3/8 binary64) x))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -3/8 binary64) x))) #s(literal -1 binary64)))
(-.f64 x (*.f64 #s(literal 3/8 binary64) y))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x))) (/.f64 (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))) (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x))))
(-.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal 3/8 binary64) y x)) (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (fma.f64 #s(literal 3/8 binary64) y x)))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 y #s(literal -3/8 binary64) x)))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 3/8 binary64) y) x))
(-.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) (fma.f64 (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y)))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))))) (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x))) (/.f64 (/.f64 (*.f64 #s(literal 19683/134217728 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (fma.f64 (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y)))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))))) (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (fma.f64 x (*.f64 x x) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))))) (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729/262144 binary64))) (fma.f64 x (*.f64 x x) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))))) (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x))))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y #s(literal 9/64 binary64)) (fma.f64 x x (*.f64 #s(literal 3/8 binary64) (*.f64 x y))))) (/.f64 (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))) (fma.f64 y (*.f64 y #s(literal 9/64 binary64)) (fma.f64 x x (*.f64 #s(literal 3/8 binary64) (*.f64 x y))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) (fma.f64 (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y)))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))))) (fma.f64 y (*.f64 y #s(literal 9/64 binary64)) (fma.f64 x x (*.f64 #s(literal 3/8 binary64) (*.f64 x y))))) (/.f64 (/.f64 (*.f64 #s(literal 19683/134217728 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (fma.f64 (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y)))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))))) (fma.f64 y (*.f64 y #s(literal 9/64 binary64)) (fma.f64 x x (*.f64 #s(literal 3/8 binary64) (*.f64 x y))))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (fma.f64 x (*.f64 x x) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))))) (fma.f64 y (*.f64 y #s(literal 9/64 binary64)) (fma.f64 x x (*.f64 #s(literal 3/8 binary64) (*.f64 x y))))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729/262144 binary64))) (fma.f64 x (*.f64 x x) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))))) (fma.f64 y (*.f64 y #s(literal 9/64 binary64)) (fma.f64 x x (*.f64 #s(literal 3/8 binary64) (*.f64 x y))))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (fma.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (fma.f64 y (*.f64 y #s(literal 9/64 binary64)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 #s(literal 3/8 binary64) y x)) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729/262144 binary64))) (fma.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (fma.f64 y (*.f64 y #s(literal 9/64 binary64)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 #s(literal 3/8 binary64) y x)))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 y #s(literal 9/64 binary64)) (*.f64 x x))) (fma.f64 #s(literal 3/8 binary64) y x)) (/.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 81/4096 binary64))) (fma.f64 y (*.f64 y #s(literal 9/64 binary64)) (*.f64 x x))) (fma.f64 #s(literal 3/8 binary64) y x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x)))) (neg.f64 (fma.f64 y #s(literal -3/8 binary64) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (*.f64 y #s(literal -3/8 binary64)) x)) (neg.f64 (fma.f64 y #s(literal -3/8 binary64) x)))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) (*.f64 (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y)))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))))) (/.f64 (*.f64 #s(literal 19683/134217728 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (*.f64 (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y)))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))))))
(-.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (*.f64 (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y)))))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729/262144 binary64))) (*.f64 (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y)))))))
(-.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (*.f64 (fma.f64 #s(literal 3/8 binary64) y x) (fma.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (fma.f64 y (*.f64 y #s(literal 9/64 binary64)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729/262144 binary64))) (*.f64 (fma.f64 #s(literal 3/8 binary64) y x) (fma.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (fma.f64 y (*.f64 y #s(literal 9/64 binary64)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 #s(literal 3/8 binary64) y x) (fma.f64 y (*.f64 y #s(literal 9/64 binary64)) (*.f64 x x)))) (/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal 81/4096 binary64))) (*.f64 (fma.f64 #s(literal 3/8 binary64) y x) (fma.f64 y (*.f64 y #s(literal 9/64 binary64)) (*.f64 x x)))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x))) (*.f64 (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x)) (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x)))) (/.f64 (*.f64 (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x)) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y)))) (*.f64 (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x)) (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x)))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 (fma.f64 #s(literal 3/8 binary64) y x) (fma.f64 #s(literal 3/8 binary64) y x))) (/.f64 (*.f64 (fma.f64 #s(literal 3/8 binary64) y x) (*.f64 y (*.f64 y #s(literal 9/64 binary64)))) (*.f64 (fma.f64 #s(literal 3/8 binary64) y x) (fma.f64 #s(literal 3/8 binary64) y x))))
(-.f64 (/.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x))))) (fma.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x))) (/.f64 (*.f64 x x) (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x)))) (fma.f64 #s(literal 729/262144 binary64) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x)))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x))) (/.f64 (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))) (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x))))))) (/.f64 (pow.f64 (/.f64 (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))) (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x))) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x))) (/.f64 (*.f64 x x) (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x)))) (fma.f64 #s(literal 729/262144 binary64) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x)))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x))) (/.f64 (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))) (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x))))))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (*.f64 (fma.f64 #s(literal 3/8 binary64) y x) (*.f64 (fma.f64 #s(literal 3/8 binary64) y x) (fma.f64 #s(literal 3/8 binary64) y x)))) (fma.f64 (*.f64 x x) (*.f64 (/.f64 x (fma.f64 #s(literal 3/8 binary64) y x)) (/.f64 x (fma.f64 #s(literal 3/8 binary64) y x))) (fma.f64 (*.f64 (*.f64 y y) #s(literal 81/4096 binary64)) (*.f64 (/.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (/.f64 y (fma.f64 #s(literal 3/8 binary64) y x))) (*.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal 3/8 binary64) y x)) (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (fma.f64 #s(literal 3/8 binary64) y x)))))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729/262144 binary64))) (*.f64 (fma.f64 #s(literal 3/8 binary64) y x) (*.f64 (fma.f64 #s(literal 3/8 binary64) y x) (fma.f64 #s(literal 3/8 binary64) y x)))) (fma.f64 (*.f64 x x) (*.f64 (/.f64 x (fma.f64 #s(literal 3/8 binary64) y x)) (/.f64 x (fma.f64 #s(literal 3/8 binary64) y x))) (fma.f64 (*.f64 (*.f64 y y) #s(literal 81/4096 binary64)) (*.f64 (/.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (/.f64 y (fma.f64 #s(literal 3/8 binary64) y x))) (*.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal 3/8 binary64) y x)) (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (fma.f64 #s(literal 3/8 binary64) y x)))))))
(-.f64 (/.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x)))) (fma.f64 x (/.f64 (*.f64 x x) (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x))) (/.f64 (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))) (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x))))) (/.f64 (*.f64 #s(literal 729/262144 binary64) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x))))) (fma.f64 x (/.f64 (*.f64 x x) (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x))) (/.f64 (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))) (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x))))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (/.f64 x (fma.f64 #s(literal 3/8 binary64) y x)) (/.f64 x (fma.f64 #s(literal 3/8 binary64) y x)))) (fma.f64 x (/.f64 x (fma.f64 #s(literal 3/8 binary64) y x)) (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (fma.f64 #s(literal 3/8 binary64) y x)))) (/.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 81/4096 binary64)) (*.f64 (/.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (/.f64 y (fma.f64 #s(literal 3/8 binary64) y x)))) (fma.f64 x (/.f64 x (fma.f64 #s(literal 3/8 binary64) y x)) (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (fma.f64 #s(literal 3/8 binary64) y x)))))
(fma.f64 #s(literal 3/8 binary64) (neg.f64 y) x)
(fma.f64 x (/.f64 x (fma.f64 #s(literal 3/8 binary64) y x)) (neg.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (fma.f64 #s(literal 3/8 binary64) y x))))
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x))) (neg.f64 (/.f64 (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))) (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x)))))
(fma.f64 y #s(literal -3/8 binary64) x)
(fma.f64 (*.f64 #s(literal 3/8 binary64) y) #s(literal -1 binary64) x)
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x))) (neg.f64 (/.f64 (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))) (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x)))))
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(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x))))
(*.f64 (neg.f64 (fma.f64 (*.f64 y y) #s(literal -9/64 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 3/8 binary64) y x)))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (*.f64 #s(literal 19683/134217728 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x)) (fma.f64 (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y)))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (*.f64 #s(literal 19683/134217728 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y)))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x)))))
(*.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729/262144 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y)))))))
(*.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729/262144 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 3/8 binary64) y x) (fma.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (fma.f64 y (*.f64 y #s(literal 9/64 binary64)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))))
(*.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729/262144 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x)))))
(*.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729/262144 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (fma.f64 y (*.f64 y #s(literal 9/64 binary64)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 #s(literal 3/8 binary64) y x))))
(*.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -3/8 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x))) (fma.f64 x (*.f64 x x) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/8 binary64) y x)) (fma.f64 (*.f64 y y) #s(literal -9/64 binary64) (*.f64 x x)))
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(*.f64 (*.f64 (fma.f64 y (*.f64 y #s(literal 9/64 binary64)) (*.f64 x x)) (fma.f64 (*.f64 y y) #s(literal -9/64 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (*.f64 y #s(literal 9/64 binary64)) (*.f64 x x)) (fma.f64 #s(literal 3/8 binary64) y x))))
(*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x))) (*.f64 (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x)) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x)) (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x)))))
(*.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 (fma.f64 #s(literal 3/8 binary64) y x) (*.f64 y (*.f64 y #s(literal 9/64 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 3/8 binary64) y x) (fma.f64 #s(literal 3/8 binary64) y x))))
(*.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x))))) (pow.f64 (/.f64 (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))) (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x))) (/.f64 (*.f64 x x) (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x)))) (fma.f64 #s(literal 729/262144 binary64) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x)))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x))) (/.f64 (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))) (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x))))))))
(*.f64 (-.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (*.f64 (fma.f64 #s(literal 3/8 binary64) y x) (*.f64 (fma.f64 #s(literal 3/8 binary64) y x) (fma.f64 #s(literal 3/8 binary64) y x)))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729/262144 binary64))) (*.f64 (fma.f64 #s(literal 3/8 binary64) y x) (*.f64 (fma.f64 #s(literal 3/8 binary64) y x) (fma.f64 #s(literal 3/8 binary64) y x))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (/.f64 x (fma.f64 #s(literal 3/8 binary64) y x)) (/.f64 x (fma.f64 #s(literal 3/8 binary64) y x))) (fma.f64 (*.f64 (*.f64 y y) #s(literal 81/4096 binary64)) (*.f64 (/.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (/.f64 y (fma.f64 #s(literal 3/8 binary64) y x))) (*.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal 3/8 binary64) y x)) (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (fma.f64 #s(literal 3/8 binary64) y x)))))))
(*.f64 (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 3/8 binary64) y x)))
(*.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x)))) (*.f64 #s(literal 729/262144 binary64) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (*.f64 x x) (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x))) (/.f64 (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))) (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x))))))
(*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (/.f64 x (fma.f64 #s(literal 3/8 binary64) y x)) (/.f64 x (fma.f64 #s(literal 3/8 binary64) y x)))) (*.f64 (*.f64 (*.f64 y y) #s(literal 81/4096 binary64)) (*.f64 (/.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (/.f64 y (fma.f64 #s(literal 3/8 binary64) y x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (fma.f64 #s(literal 3/8 binary64) y x)) (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (fma.f64 #s(literal 3/8 binary64) y x)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (*.f64 #s(literal 19683/134217728 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y)))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))))))
(*.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729/262144 binary64)))) (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))))))
(*.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729/262144 binary64)))) (fma.f64 #s(literal 3/8 binary64) y x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (fma.f64 y (*.f64 y #s(literal 9/64 binary64)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))))
(*.f64 (/.f64 (*.f64 (fma.f64 y (*.f64 y #s(literal 9/64 binary64)) (*.f64 x x)) (fma.f64 (*.f64 y y) #s(literal -9/64 binary64) (*.f64 x x))) (fma.f64 #s(literal 3/8 binary64) y x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 9/64 binary64)) (*.f64 x x))))
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -9/64 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))))) (fma.f64 (*.f64 #s(literal 3/8 binary64) y) (-.f64 (*.f64 #s(literal 3/8 binary64) y) x) (*.f64 x x)))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 #s(literal 3/8 binary64) y x) (*.f64 (fma.f64 #s(literal 3/8 binary64) y x) (fma.f64 #s(literal 3/8 binary64) y x)))))) (fma.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x))) (-.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x))) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y)))) (*.f64 (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x)) (fma.f64 x x (*.f64 (*.f64 y #s(literal -3/8 binary64)) (fma.f64 #s(literal 3/8 binary64) y x))))) (fma.f64 x x (*.f64 (*.f64 y #s(literal -3/8 binary64)) (fma.f64 #s(literal 3/8 binary64) y x))))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 3/8 binary64) y x) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729/262144 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (fma.f64 y (*.f64 y #s(literal 9/64 binary64)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 3/8 binary64) y x) (*.f64 (fma.f64 y (*.f64 y #s(literal 9/64 binary64)) (*.f64 x x)) (fma.f64 (*.f64 y y) #s(literal -9/64 binary64) (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y #s(literal 9/64 binary64)) (*.f64 x x))))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (*.f64 #s(literal 19683/134217728 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y)))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 x x)) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729/262144 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -3/8 binary64) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -3/8 binary64) x)) #s(literal -1/2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 3/8 binary64) y))
(exp.f64 (log.f64 (*.f64 #s(literal 3/8 binary64) y)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 3/8 binary64) y)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 y #s(literal -3/8 binary64)))
(neg.f64 (*.f64 y #s(literal -3/8 binary64)))
(/.f64 (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) #s(literal 0 binary64))))
(/.f64 (*.f64 (*.f64 y y) #s(literal -9/64 binary64)) (*.f64 y #s(literal -3/8 binary64)))
(pow.f64 (*.f64 #s(literal 3/8 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal 3/8 binary64) y)
(*.f64 #s(literal 3/8 binary64) (pow.f64 y #s(literal 1 binary64)))
(*.f64 y #s(literal 3/8 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3/8 binary64) y))
(*.f64 #s(literal -1 binary64) (*.f64 y #s(literal -3/8 binary64)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) #s(literal 3/8 binary64))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 3/8 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 3/8 binary64))) (exp.f64 (log.f64 y)))
(*.f64 (pow.f64 (*.f64 #s(literal 3/8 binary64) y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 3/8 binary64) y) #s(literal 1/2 binary64)))

eval28.0ms (0.9%)

Memory
20.6MiB live, 56.6MiB allocated
Compiler

Compiled 9 984 to 595 computations (94% saved)

prune44.0ms (1.3%)

Memory
-24.0MiB live, 73.1MiB 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)
▶45.2%
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify12.0ms (0.4%)

Memory
7.4MiB live, 7.4MiB 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 #s(literal -3/8 binary64) y)
✓cost-diff0
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
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
01520
12220
23020
33920
45220
57020
610520
713320
816820
919220
1020620
020620
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
(*.f64 #s(literal -3/8 binary64) y)
#s(literal -3/8 binary64)
y
(fma.f64 y #s(literal -3/8 binary64) x)
y
#s(literal -3/8 binary64)
x
Outputs
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
#s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64)))
(*.f64 #s(literal -3/8 binary64) y)
(*.f64 y #s(literal -3/8 binary64))
#s(literal -3/8 binary64)
y
(fma.f64 y #s(literal -3/8 binary64) x)
y
#s(literal -3/8 binary64)
x

localize45.0ms (1.4%)

Memory
16.2MiB live, 53.2MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 y #s(literal -3/8 binary64) x)
✓accuracy100.0%
(*.f64 #s(literal -3/8 binary64) y)
✓accuracy45.2%
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
Samples
33.0ms235×0valid
1.0ms7×3valid
1.0ms11×1valid
0.0ms3×2valid
Compiler

Compiled 22 to 13 computations (40.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 22.0ms (79.1% of total)
ival-div: 2.0ms (7.2% of total)
ival-sub: 2.0ms (7.2% of total)
adjust: 1.0ms (3.6% of total)
ival-add: 1.0ms (3.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series6.0ms (0.2%)

Memory
-32.6MiB live, 5.1MiB allocated
Counts
3 → 60
Calls
Call 1
Inputs
#s(alt #s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y)) (patch #s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -3/8 binary64) y) (patch (*.f64 #s(literal -3/8 binary64) y) #<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 (* -3/8 y) (taylor 0 x) (#s(alt #s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y)) (patch #s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (- x (* 3/8 y)) (taylor 0 x) (#s(alt #s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y)) (patch #s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (- x (* 3/8 y)) (taylor 0 x) (#s(alt #s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y)) (patch #s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (- x (* 3/8 y)) (taylor 0 x) (#s(alt #s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y)) (patch #s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt #s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y)) (patch #s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -3/8 (/ y x)))) (taylor inf x) (#s(alt #s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y)) (patch #s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -3/8 (/ y x)))) (taylor inf x) (#s(alt #s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y)) (patch #s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* -3/8 (/ y x)))) (taylor inf x) (#s(alt #s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y)) (patch #s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y)) (patch #s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 3/8 (/ y x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y)) (patch #s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 3/8 (/ y x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y)) (patch #s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 3/8 (/ y x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y)) (patch #s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y)) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt #s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y)) (patch #s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -3/8 y)) (taylor 0 y) (#s(alt #s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y)) (patch #s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -3/8 y)) (taylor 0 y) (#s(alt #s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y)) (patch #s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ x (* -3/8 y)) (taylor 0 y) (#s(alt #s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y)) (patch #s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -3/8 y) (taylor inf y) (#s(alt #s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y)) (patch #s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 3/8)) (taylor inf y) (#s(alt #s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y)) (patch #s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 3/8)) (taylor inf y) (#s(alt #s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y)) (patch #s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ x y) 3/8)) (taylor inf y) (#s(alt #s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y)) (patch #s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -3/8 y) (taylor -inf y) (#s(alt #s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y)) (patch #s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 3/8 (* -1 (/ x y))))) (taylor -inf y) (#s(alt #s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y)) (patch #s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 3/8 (* -1 (/ x y))))) (taylor -inf y) (#s(alt #s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y)) (patch #s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (+ 3/8 (* -1 (/ x y))))) (taylor -inf y) (#s(alt #s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y)) (patch #s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -3/8 y) (taylor 0 y) (#s(alt (*.f64 #s(literal -3/8 binary64) y) (patch (*.f64 #s(literal -3/8 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -3/8 y) (taylor 0 y) (#s(alt (*.f64 #s(literal -3/8 binary64) y) (patch (*.f64 #s(literal -3/8 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -3/8 y) (taylor 0 y) (#s(alt (*.f64 #s(literal -3/8 binary64) y) (patch (*.f64 #s(literal -3/8 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -3/8 y) (taylor 0 y) (#s(alt (*.f64 #s(literal -3/8 binary64) y) (patch (*.f64 #s(literal -3/8 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -3/8 y) (taylor inf y) (#s(alt (*.f64 #s(literal -3/8 binary64) y) (patch (*.f64 #s(literal -3/8 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -3/8 y) (taylor inf y) (#s(alt (*.f64 #s(literal -3/8 binary64) y) (patch (*.f64 #s(literal -3/8 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -3/8 y) (taylor inf y) (#s(alt (*.f64 #s(literal -3/8 binary64) y) (patch (*.f64 #s(literal -3/8 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -3/8 y) (taylor inf y) (#s(alt (*.f64 #s(literal -3/8 binary64) y) (patch (*.f64 #s(literal -3/8 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -3/8 y) (taylor -inf y) (#s(alt (*.f64 #s(literal -3/8 binary64) y) (patch (*.f64 #s(literal -3/8 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -3/8 y) (taylor -inf y) (#s(alt (*.f64 #s(literal -3/8 binary64) y) (patch (*.f64 #s(literal -3/8 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -3/8 y) (taylor -inf y) (#s(alt (*.f64 #s(literal -3/8 binary64) y) (patch (*.f64 #s(literal -3/8 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -3/8 y) (taylor -inf y) (#s(alt (*.f64 #s(literal -3/8 binary64) y) (patch (*.f64 #s(literal -3/8 binary64) y) #<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 (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 (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 (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 (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 (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

15 calls:

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

simplify296.0ms (9%)

Memory
20.6MiB live, 330.7MiB 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
3455240
41250240
52461240
63264240
73600240
83896240
94079240
105224240
116020240
126788240
137056240
147836240
08372204
Stop Event
1×iter limit
1×node limit
Counts
60 → 54
Calls
Call 1
Inputs
(* -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)))
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)
(* -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)
(* -3/8 y)
(* -3/8 y)
(* -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)
(* -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))
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
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(- x (* 3/8 y))
(fma.f64 #s(literal -3/8 binary64) y x)
(- x (* 3/8 y))
(fma.f64 #s(literal -3/8 binary64) y x)
(- x (* 3/8 y))
(fma.f64 #s(literal -3/8 binary64) y x)
x
(* x (+ 1 (* -3/8 (/ y x))))
(fma.f64 #s(literal -3/8 binary64) y x)
(* x (+ 1 (* -3/8 (/ y x))))
(fma.f64 #s(literal -3/8 binary64) y x)
(* x (+ 1 (* -3/8 (/ y x))))
(fma.f64 #s(literal -3/8 binary64) y x)
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(fma.f64 #s(literal -3/8 binary64) y x)
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(fma.f64 #s(literal -3/8 binary64) y x)
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(fma.f64 #s(literal -3/8 binary64) y x)
x
(+ x (* -3/8 y))
(fma.f64 #s(literal -3/8 binary64) y x)
(+ x (* -3/8 y))
(fma.f64 #s(literal -3/8 binary64) y x)
(+ x (* -3/8 y))
(fma.f64 #s(literal -3/8 binary64) y x)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* y (- (/ x y) 3/8))
(fma.f64 #s(literal -3/8 binary64) y x)
(* y (- (/ x y) 3/8))
(fma.f64 #s(literal -3/8 binary64) y x)
(* y (- (/ x y) 3/8))
(fma.f64 #s(literal -3/8 binary64) y x)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(fma.f64 #s(literal -3/8 binary64) y x)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(fma.f64 #s(literal -3/8 binary64) y x)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(fma.f64 #s(literal -3/8 binary64) y 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 #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 #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)
x
(+ x (* -3/8 y))
(fma.f64 #s(literal -3/8 binary64) y x)
(+ x (* -3/8 y))
(fma.f64 #s(literal -3/8 binary64) y x)
(+ x (* -3/8 y))
(fma.f64 #s(literal -3/8 binary64) y x)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* y (- (/ x y) 3/8))
(fma.f64 #s(literal -3/8 binary64) y x)
(* y (- (/ x y) 3/8))
(fma.f64 #s(literal -3/8 binary64) y x)
(* y (- (/ x y) 3/8))
(fma.f64 #s(literal -3/8 binary64) y x)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(fma.f64 #s(literal -3/8 binary64) y x)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(fma.f64 #s(literal -3/8 binary64) y x)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(fma.f64 #s(literal -3/8 binary64) y x)
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(+ x (* -3/8 y))
(fma.f64 #s(literal -3/8 binary64) y x)
(+ x (* -3/8 y))
(fma.f64 #s(literal -3/8 binary64) y x)
(+ x (* -3/8 y))
(fma.f64 #s(literal -3/8 binary64) y x)
x
(* x (+ 1 (* -3/8 (/ y x))))
(fma.f64 #s(literal -3/8 binary64) y x)
(* x (+ 1 (* -3/8 (/ y x))))
(fma.f64 #s(literal -3/8 binary64) y x)
(* x (+ 1 (* -3/8 (/ y x))))
(fma.f64 #s(literal -3/8 binary64) y x)
x
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(fma.f64 #s(literal -3/8 binary64) y x)
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(fma.f64 #s(literal -3/8 binary64) y x)
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(fma.f64 #s(literal -3/8 binary64) y x)

rewrite352.0ms (10.7%)

Memory
2.0MiB live, 485.0MiB allocated
Algorithm
1×batch-egg-rewrite
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
01515
14415
231915
3335715
0888715
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 #s(literal -3/8 binary64) y))
(*.f64 #s(literal -3/8 binary64) y)
(fma.f64 y #s(literal -3/8 binary64) x)
Outputs
#s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y #s(literal -3/8 binary64)))
(exp.f64 (log.f64 (*.f64 y #s(literal -3/8 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal -3/8 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 3/8 binary64) y))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 y #s(literal 9/64 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 3/8 binary64) y))))) (*.f64 y #s(literal -3/8 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 3/8 binary64) y))) (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 3/8 binary64) y))))
(neg.f64 (*.f64 #s(literal 3/8 binary64) y))
(/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (neg.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 3/8 binary64) y))))
(/.f64 (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 y #s(literal 9/64 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 3/8 binary64) y)))))
(/.f64 (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 y #s(literal 9/64 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 3/8 binary64) y))))))
(/.f64 (*.f64 (*.f64 y y) #s(literal -9/64 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 3/8 binary64) y)))
(pow.f64 (*.f64 y #s(literal -3/8 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 3/8 binary64) (neg.f64 y))
(*.f64 #s(literal 3/8 binary64) (pow.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 y #s(literal -3/8 binary64))
(*.f64 (*.f64 #s(literal 3/8 binary64) y) #s(literal -1 binary64))
(*.f64 #s(literal -3/8 binary64) y)
(*.f64 #s(literal -3/8 binary64) (pow.f64 y #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal 3/8 binary64) y))
(*.f64 (neg.f64 y) #s(literal 3/8 binary64))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1 binary64)) #s(literal 3/8 binary64))
(*.f64 (pow.f64 y #s(literal 1 binary64)) #s(literal -3/8 binary64))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal -3/8 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 3/8 binary64))) (exp.f64 (log.f64 (neg.f64 y))))
(*.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 #s(literal 3/8 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal -3/8 binary64))) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (*.f64 #s(literal 3/8 binary64) y))
(+.f64 x (*.f64 y #s(literal -3/8 binary64)))
(+.f64 (*.f64 y #s(literal -3/8 binary64)) x)
(+.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x))))) (neg.f64 (/.f64 (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))) (fma.f64 x x (*.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)))))))
(+.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal -9/64 binary64)) (fma.f64 #s(literal 3/8 binary64) y x)) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 y #s(literal -3/8 binary64) (neg.f64 x)))))
(+.f64 (*.f64 x (/.f64 x (fma.f64 #s(literal 3/8 binary64) y x))) (neg.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (fma.f64 #s(literal 3/8 binary64) y x))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -3/8 binary64) x))) #s(literal -1 binary64)))
(-.f64 x (*.f64 #s(literal 3/8 binary64) y))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x))))) (/.f64 (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))) (fma.f64 x x (*.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x))))))
(-.f64 (/.f64 (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))) (fma.f64 x x (*.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x))))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 y y) #s(literal -9/64 binary64) (neg.f64 (*.f64 x (fma.f64 #s(literal 3/8 binary64) y x))))))
(-.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal -9/64 binary64)) (fma.f64 #s(literal 3/8 binary64) y x)) (/.f64 (*.f64 x x) (fma.f64 y #s(literal -3/8 binary64) (neg.f64 x))))
(-.f64 (*.f64 x (/.f64 x (fma.f64 #s(literal 3/8 binary64) y x))) (/.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (fma.f64 #s(literal 3/8 binary64) y x)))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 3/8 binary64) y) x))
(-.f64 (+.f64 x #s(literal 0 binary64)) (*.f64 #s(literal 3/8 binary64) y))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729/262144 binary64))) (fma.f64 x (*.f64 x x) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))))) (fma.f64 x x (*.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x))))) (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (neg.f64 x)) x))) (fma.f64 x x (*.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fma.f64 x x (*.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x))))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal -19683/134217728 binary64)) (fma.f64 (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fma.f64 x x (*.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x x) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))))) (fma.f64 x x (*.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x))))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729/262144 binary64))) (fma.f64 x (*.f64 x x) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))))) (fma.f64 x x (*.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x))))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y #s(literal -3/8 binary64) (neg.f64 x))) (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal 3/8 binary64) y x)) (fma.f64 y #s(literal -3/8 binary64) x)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729/262144 binary64))) (fma.f64 #s(literal 81/4096 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 9/64 binary64) (*.f64 y y) (*.f64 x x))))) (fma.f64 y #s(literal -3/8 binary64) (neg.f64 x))) (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 81/4096 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 9/64 binary64) (*.f64 y y) (*.f64 x x))))) (fma.f64 y #s(literal -3/8 binary64) (neg.f64 x))))
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 81/4096 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 #s(literal 9/64 binary64) (*.f64 y y) (*.f64 x x))) (fma.f64 y #s(literal -3/8 binary64) (neg.f64 x))) (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 #s(literal 9/64 binary64) (*.f64 y y) (*.f64 x x))) (fma.f64 y #s(literal -3/8 binary64) (neg.f64 x))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal 3/8 binary64) y x)) (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal 3/8 binary64) y x)) (fma.f64 y #s(literal -3/8 binary64) x)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 #s(literal 9/64 binary64) (*.f64 y y) (*.f64 x x))) (fma.f64 #s(literal 3/8 binary64) y x)) (/.f64 (/.f64 (*.f64 #s(literal 81/4096 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 #s(literal 9/64 binary64) (*.f64 y y) (*.f64 x x))) (fma.f64 #s(literal 3/8 binary64) y x)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (fma.f64 #s(literal 9/64 binary64) (*.f64 y y) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))) (fma.f64 #s(literal 3/8 binary64) y x)) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729/262144 binary64))) (fma.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (fma.f64 #s(literal 9/64 binary64) (*.f64 y y) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))) (fma.f64 #s(literal 3/8 binary64) y x)))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y y) #s(literal -9/64 binary64) (neg.f64 (*.f64 x (fma.f64 #s(literal 3/8 binary64) y x))))) (/.f64 (fma.f64 x (*.f64 x x) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 (*.f64 y y) #s(literal -9/64 binary64) (neg.f64 (*.f64 x (fma.f64 #s(literal 3/8 binary64) y x))))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x x (*.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)))) (fma.f64 x (*.f64 x x) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y)))))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729/262144 binary64))) (*.f64 (fma.f64 x x (*.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)))) (fma.f64 x (*.f64 x x) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y)))))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 #s(literal 3/8 binary64) y x) (fma.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (fma.f64 #s(literal 9/64 binary64) (*.f64 y y) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729/262144 binary64))) (*.f64 (fma.f64 #s(literal 3/8 binary64) y x) (fma.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (fma.f64 #s(literal 9/64 binary64) (*.f64 y y) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 x x (*.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)))) (fma.f64 (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (/.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal -19683/134217728 binary64)) (*.f64 (fma.f64 x x (*.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)))) (fma.f64 (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))))
(-.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729/262144 binary64))) (*.f64 (fma.f64 x x (*.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)))) (fma.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (neg.f64 x)) x)))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x x (*.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)))) (fma.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (neg.f64 x)) x)))))
(-.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729/262144 binary64))) (*.f64 (fma.f64 y #s(literal -3/8 binary64) (neg.f64 x)) (fma.f64 #s(literal 81/4096 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 9/64 binary64) (*.f64 y y) (*.f64 x x)))))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 y #s(literal -3/8 binary64) (neg.f64 x)) (fma.f64 #s(literal 81/4096 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 9/64 binary64) (*.f64 y y) (*.f64 x x)))))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 3/8 binary64) y x) (fma.f64 #s(literal 9/64 binary64) (*.f64 y y) (*.f64 x x)))) (/.f64 (*.f64 #s(literal 81/4096 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (fma.f64 #s(literal 3/8 binary64) y x) (fma.f64 #s(literal 9/64 binary64) (*.f64 y y) (*.f64 x x)))))
(-.f64 (/.f64 (*.f64 #s(literal 81/4096 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (fma.f64 y #s(literal -3/8 binary64) (neg.f64 x)) (fma.f64 #s(literal 9/64 binary64) (*.f64 y y) (*.f64 x x)))) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (fma.f64 y #s(literal -3/8 binary64) (neg.f64 x)) (fma.f64 #s(literal 9/64 binary64) (*.f64 y y) (*.f64 x x)))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (*.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x))))) (*.f64 (fma.f64 x x (*.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)))) (fma.f64 x x (*.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)))))) (/.f64 (*.f64 (fma.f64 x x (*.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)))) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y)))) (*.f64 (fma.f64 x x (*.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)))) (fma.f64 x x (*.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)))))))
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(*.f64 (fma.f64 x x (*.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)))) (*.f64 (fma.f64 y #s(literal -3/8 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)))))))
(*.f64 (fma.f64 x x (*.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)))) (/.f64 (fma.f64 y #s(literal -3/8 binary64) x) (fma.f64 x x (*.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x))))))
(*.f64 (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 3/8 binary64) y x)))
(*.f64 (fma.f64 (*.f64 y y) #s(literal -9/64 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/8 binary64) y x)))
(*.f64 (fma.f64 #s(literal 3/8 binary64) y x) (*.f64 (fma.f64 y #s(literal -3/8 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/8 binary64) y x))))
(*.f64 (fma.f64 #s(literal 3/8 binary64) y x) (/.f64 (fma.f64 y #s(literal -3/8 binary64) x) (fma.f64 #s(literal 3/8 binary64) y x)))
(*.f64 (fma.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (neg.f64 x)) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -9/64 binary64) (neg.f64 (*.f64 x (fma.f64 #s(literal 3/8 binary64) y x))))))
(*.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -3/8 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x))))) (fma.f64 x (*.f64 x x) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 3/8 binary64) y x)) (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x x)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 3/8 binary64) y x)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 y y) #s(literal -9/64 binary64) (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/8 binary64) y x)) (fma.f64 (*.f64 y y) #s(literal -9/64 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/8 binary64) y x)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) #s(literal -9/64 binary64) (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -9/64 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))))) (fma.f64 (*.f64 #s(literal 3/8 binary64) y) (-.f64 (*.f64 #s(literal 3/8 binary64) y) x) (*.f64 x x)))
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -9/64 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))))) (fma.f64 y (*.f64 y #s(literal 9/64 binary64)) (*.f64 x (fma.f64 y #s(literal -3/8 binary64) x))))
(*.f64 (/.f64 (fma.f64 (*.f64 y y) #s(literal -9/64 binary64) (*.f64 x x)) (fma.f64 (*.f64 y y) #s(literal -9/64 binary64) (*.f64 x x))) (fma.f64 y #s(literal -3/8 binary64) x))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729/262144 binary64)) (*.f64 (*.f64 x (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 3/8 binary64) y x) (fma.f64 #s(literal 3/8 binary64) y x)))))) (fma.f64 (*.f64 x (fma.f64 #s(literal 3/8 binary64) y x)) (-.f64 (*.f64 x (fma.f64 #s(literal 3/8 binary64) y x)) (*.f64 y (*.f64 y #s(literal 9/64 binary64)))) (*.f64 #s(literal 81/4096 binary64) (*.f64 (*.f64 y y) (*.f64 y y)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y)))) (-.f64 (*.f64 #s(literal 81/4096 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 3/8 binary64) y x) (fma.f64 #s(literal 3/8 binary64) y x))))) (-.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (*.f64 x (fma.f64 #s(literal 3/8 binary64) y x))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 #s(literal 3/8 binary64) y x) (*.f64 (fma.f64 #s(literal 3/8 binary64) y x) (fma.f64 #s(literal 3/8 binary64) y x)))))) (fma.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x))) (-.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x))) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y)))) (*.f64 (fma.f64 x x (*.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)))) (fma.f64 x x (*.f64 (*.f64 y #s(literal -3/8 binary64)) (fma.f64 #s(literal 3/8 binary64) y x))))) (fma.f64 x x (*.f64 (*.f64 y #s(literal -3/8 binary64)) (fma.f64 #s(literal 3/8 binary64) y x))))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 3/8 binary64) y x) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729/262144 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 y #s(literal 9/64 binary64))) (fma.f64 #s(literal 9/64 binary64) (*.f64 y y) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 3/8 binary64) y x) (*.f64 (fma.f64 #s(literal 9/64 binary64) (*.f64 y y) (*.f64 x x)) (fma.f64 (*.f64 y y) #s(literal -9/64 binary64) (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9/64 binary64) (*.f64 y y) (*.f64 x x))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x (*.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)))) (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal -19683/134217728 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729/262144 binary64))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x (*.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)))) (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) #s(literal -19683/134217728 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x x) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x (*.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)))) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729/262144 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (neg.f64 x)) x))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x (*.f64 #s(literal 3/8 binary64) (*.f64 y (fma.f64 #s(literal 3/8 binary64) y x)))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729/262144 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 #s(literal 27/512 binary64) (*.f64 y (*.f64 y y))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 y #s(literal -3/8 binary64) (neg.f64 x)) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) #s(literal 729/262144 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 81/4096 binary64) (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 9/64 binary64) (*.f64 y y) (*.f64 x x))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 y #s(literal -3/8 binary64) (neg.f64 x)) (-.f64 (*.f64 #s(literal 81/4096 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9/64 binary64) (*.f64 y y) (*.f64 x x))))

eval38.0ms (1.1%)

Memory
-10.5MiB live, 68.6MiB allocated
Compiler

Compiled 10 702 to 725 computations (93.2% saved)

prune40.0ms (1.2%)

Memory
32.0MiB live, 110.0MiB 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)
✓45.2%
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
Compiler

Compiled 29 to 18 computations (37.9% saved)

regimes9.0ms (0.3%)

Memory
-23.6MiB live, 15.2MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
(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:

3.0ms
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
2.0ms
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
2.0ms
y
2.0ms
x
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 22 to 17 computations (22.7% saved)

regimes5.0ms (0.2%)

Memory
11.5MiB live, 11.5MiB 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 #s(literal -3/8 binary64) y))
Outputs
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
Calls

4 calls:

1.0ms
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
1.0ms
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
45.2%1x
45.2%1y
45.2%1(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
45.2%1(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
Compiler

Compiled 22 to 17 computations (22.7% saved)

simplify6.0ms (0.2%)

Memory
9.4MiB live, 9.4MiB allocated
Algorithm
1×egg-herbie
Rules
2×*-commutative_binary64
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 #s(literal -3/8 binary64) y))
Outputs
(fma.f64 y #s(literal -3/8 binary64) x)
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
#s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal -3/8 binary64)))

soundness474.0ms (14.4%)

Memory
-28.8MiB live, 212.0MiB 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
025138
168138
2170138
3455138
41250138
52461138
63264138
73600138
83896138
94079138
105224138
116020138
126788138
137056138
147836138
08372120
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 28 to 18 computations (35.7% saved)

preprocess20.0ms (0.6%)

Memory
15.7MiB live, 54.5MiB allocated
Compiler

Compiled 38 to 24 computations (36.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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