Expanding a square

Time bar (total: 5.0s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample725.0ms (14.7%)

Memory
43.6MiB live, 689.6MiB allocated
Samples
202.0ms2 445×1valid
166.0ms1 565×2valid
143.0ms4 246×0valid
Precisions
Click to see histograms. Total time spent on operations: 358.0ms
ival-mult: 118.0ms (33% of total)
adjust: 79.0ms (22.1% of total)
ival-add: 79.0ms (22.1% of total)
ival-sub: 69.0ms (19.3% of total)
ival-true: 5.0ms (1.4% of total)
exact: 5.0ms (1.4% of total)
ival-assert: 3.0ms (0.8% of total)
Bogosity

explain91.0ms (1.8%)

Memory
-15.7MiB live, 109.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1330-0-(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
00-0-(+.f64 x #s(literal 1 binary64))
00-0-(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
00-0-#s(literal 1 binary64)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))cancellation1330
Confusion
Predicted +Predicted -
+1330
-0123
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+13300
-00123
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0123
1133
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
27.0ms170×1valid
11.0ms92×2valid
10.0ms250×0valid
Compiler

Compiled 56 to 19 computations (66.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-add: 8.0ms (34.8% of total)
adjust: 5.0ms (21.8% of total)
ival-mult: 5.0ms (21.8% of total)
ival-sub: 4.0ms (17.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess440.0ms (8.9%)

Memory
23.5MiB live, 211.7MiB allocated
Algorithm
1×egg-herbie
Rules
13 298×lower-fma.f64
13 298×lower-fma.f32
3 478×lower-+.f32
3 476×lower-+.f64
2 492×lower-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0723
12619
28813
332810
4136110
5361010
6490710
7563410
8597210
9605310
10606310
11640710
12657510
13659610
14682710
15684110
16692310
17700310
18704010
19704010
20704010
21704410
22704410
059
089
1237
2525
31155
44875
516675
641465
759495
872925
081685
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
Outputs
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
Compiler

Compiled 10 to 5 computations (50% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune16.0ms (0.3%)

Memory
-23.1MiB live, 12.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶51.3%
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
Compiler

Compiled 10 to 5 computations (50% saved)

simplify259.0ms (5.2%)

Memory
-0.5MiB live, 226.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x #s(literal 1 binary64))
cost-diff128
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
cost-diff256
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
Rules
13 298×lower-fma.f64
13 298×lower-fma.f32
3 478×lower-+.f32
3 476×lower-+.f64
2 492×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0521
0821
12319
25217
311517
448717
5166717
6414617
7594917
8729217
0816816
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
Outputs
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)

localize25.0ms (0.5%)

Memory
3.9MiB live, 40.8MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 x #s(literal 1 binary64))
accuracy0.0078125
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
accuracy31.14141886000123
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
Samples
7.0ms46×2valid
7.0ms85×1valid
5.0ms125×0valid
Compiler

Compiled 23 to 7 computations (69.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 3.0ms (30.1% of total)
adjust: 2.0ms (20.1% of total)
ival-add: 2.0ms (20.1% of total)
ival-sub: 2.0ms (20.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series2.0ms (0%)

Memory
3.0MiB live, 3.0MiB allocated
Counts
3 → 36
Calls
Call 1
Inputs
#s(alt (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* 2 x) (taylor 0 x) (#s(alt (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 x)) (taylor 0 x) (#s(alt (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 x)) (taylor 0 x) (#s(alt (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 x)) (taylor 0 x) (#s(alt (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (patch (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 x)) (taylor 0 x) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 2 x))) (taylor 0 x) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 2 x))) (taylor 0 x) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
Calls

9 calls:

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

simplify322.0ms (6.5%)

Memory
-0.4MiB live, 271.6MiB allocated
Algorithm
1×egg-herbie
Rules
23 092×lower-fma.f64
23 092×lower-fma.f32
5 874×lower-*.f64
5 874×lower-*.f32
2 612×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020148
158148
2115148
3287148
4561148
52333148
63677148
74526148
85154148
96026148
106363148
116633148
08055141
Stop Event
1×iter limit
1×node limit
Counts
36 → 34
Calls
Call 1
Inputs
(* 2 x)
(* x (+ 2 x))
(* x (+ 2 x))
(* x (+ 2 x))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 x)))
(+ 1 (* x (+ 2 x)))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
Outputs
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* x (+ 2 x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* x (+ 2 x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 2 x)))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(+ 1 (* x (+ 2 x)))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))

rewrite268.0ms (5.4%)

Memory
2.0MiB live, 171.8MiB allocated
Rules
5 388×lower-fma.f64
5 388×lower-fma.f32
3 116×lower-*.f32
3 114×lower-*.f64
2 562×lower-/.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0519
0815
14815
237913
3633413
0823713
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
3 → 600
Calls
Call 1
Inputs
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
Outputs
(+.f64 x (fma.f64 x x x))
(+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal -1 binary64)))
(+.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(+.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) #s(literal 0 binary64))
(+.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) (*.f64 (+.f64 x #s(literal 2 binary64)) #s(literal 0 binary64)))
(+.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) (+.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 x x) (*.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) x))
(+.f64 (*.f64 x x) (+.f64 x x))
(+.f64 #s(literal -1 binary64) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))))
(+.f64 (fma.f64 x x x) x)
(+.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))))
(+.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))))
(+.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
(+.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (+.f64 x #s(literal 2 binary64))))
(+.f64 (+.f64 #s(literal -1 binary64) (fma.f64 x x x)) (+.f64 x #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)))
(-.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) (-.f64 (fma.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(expm1.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)))
(expm1.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 1 binary64)))
(expm1.f64 (*.f64 (log.f64 (exp.f64 (log1p.f64 x))) #s(literal 2 binary64)))
(fma.f64 x x (*.f64 x #s(literal 2 binary64)))
(fma.f64 x x (*.f64 #s(literal 2 binary64) x))
(fma.f64 x x (+.f64 x x))
(fma.f64 x #s(literal 1 binary64) (fma.f64 x x x))
(fma.f64 x (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 2 binary64)) #s(literal 0 binary64)))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (+.f64 x #s(literal 2 binary64))))
(fma.f64 x (/.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64))) (fma.f64 x x x))
(fma.f64 x (/.f64 (+.f64 x #s(literal 2 binary64)) x) (*.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) x (fma.f64 x x x))
(fma.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 2 binary64))) (*.f64 (+.f64 x #s(literal 2 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) (+.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (+.f64 x x))
(fma.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (fma.f64 x x x) x)
(fma.f64 (+.f64 x #s(literal 1 binary64)) x x)
(fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal -1 binary64)))
(fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (+.f64 x #s(literal 2 binary64))))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (+.f64 (fma.f64 x x x) #s(literal -1 binary64)))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (fma.f64 x x x) #s(literal -1 binary64)))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))))
(fma.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))))
(fma.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))) (fma.f64 x x x))
(fma.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))))
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 (fma.f64 x x x) #s(literal -1 binary64)))
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) x) x)
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal -1 binary64)))
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64))
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64))
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 x (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) x)
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (+.f64 x x))
(fma.f64 (*.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))))
(fma.f64 (fma.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 (+.f64 x #s(literal 2 binary64)) #s(literal 0 binary64)))
(fma.f64 (fma.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 0 binary64) (+.f64 x #s(literal 2 binary64))))
(fma.f64 (fma.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 x #s(literal 2 binary64))) (fma.f64 x x x))
(fma.f64 (fma.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) (*.f64 (+.f64 x #s(literal 2 binary64)) #s(literal 0 binary64)))
(fma.f64 (fma.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) (*.f64 #s(literal 0 binary64) (+.f64 x #s(literal 2 binary64))))
(fma.f64 (fma.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) x) (*.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))))
(fma.f64 (*.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))))
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(fma.f64 (fma.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) (+.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (+.f64 x #s(literal 2 binary64)) (/.f64 x (+.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) (*.f64 x (+.f64 x #s(literal 2 binary64)))) x #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(neg.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (neg.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x)))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (neg.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)) (neg.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) (fma.f64 x (/.f64 x (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (*.f64 (fma.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 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal 1 binary64)))

eval252.0ms (5.1%)

Memory
8.0MiB live, 74.4MiB allocated
Compiler

Compiled 19 216 to 1 655 computations (91.4% saved)

prune100.0ms (2%)

Memory
0.0MiB live, 157.9MiB allocated
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New7235728
Fresh000
Picked101
Done000
Total7245729
Accuracy
100.0%
Counts
729 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(fma.f64 (+.f64 x #s(literal 1 binary64)) x x)
▶3.7%
(-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64))
▶100.0%
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
▶49.8%
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))
▶53.5%
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x))
Compiler

Compiled 56 to 32 computations (42.9% saved)

simplify285.0ms (5.8%)

Memory
-5.3MiB live, 89.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x #s(literal 2 binary64))
cost-diff0
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))
cost-diff0
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x))
cost-diff128
(*.f64 #s(literal 2 binary64) x)
cost-diff0
#s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64))
cost-diff0
(-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff0
(+.f64 x #s(literal 1 binary64))
cost-diff64
(fma.f64 (+.f64 x #s(literal 1 binary64)) x x)
Rules
13 344×lower-fma.f32
13 342×lower-fma.f64
3 492×lower-+.f32
3 488×lower-+.f64
2 440×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01677
02478
14572
27268
312868
450868
5168268
6417568
7601268
8736668
0814766
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (+.f64 x #s(literal 1 binary64)) x x)
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))
(*.f64 x x)
x
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(+.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
Outputs
(fma.f64 (+.f64 x #s(literal 1 binary64)) x x)
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal -1 binary64))
#s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x))
#s(approx (- (* (+ x 1) (+ x 1)) 1) (+.f64 x x))
(*.f64 #s(literal 2 binary64) x)
(+.f64 x x)
#s(literal 2 binary64)
x
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))
(*.f64 x x)
x
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(+.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)

localize52.0ms (1%)

Memory
-3.8MiB live, 56.2MiB allocated
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 x #s(literal 2 binary64))
accuracy0.01171875
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
accuracy0
(*.f64 x x)
accuracy32.15417397063545
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))
accuracy0
(*.f64 #s(literal 2 binary64) x)
accuracy29.732729663320853
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x))
accuracy29.649917858552985
#s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64))
accuracy31.14141886000123
(-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy0
(fma.f64 (+.f64 x #s(literal 1 binary64)) x x)
accuracy0
(+.f64 x #s(literal 1 binary64))
Samples
15.0ms85×1valid
10.0ms46×2valid
10.0ms125×0valid
Compiler

Compiled 68 to 14 computations (79.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 9.0ms (40.1% of total)
ival-add: 7.0ms (31.2% of total)
adjust: 5.0ms (22.3% of total)
ival-sub: 2.0ms (8.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
8.2MiB live, 8.2MiB allocated
Counts
10 → 120
Calls
Call 1
Inputs
#s(alt (fma.f64 (+.f64 x #s(literal 1 binary64)) x x) (patch (fma.f64 (+.f64 x #s(literal 1 binary64)) x x) #<representation binary64>) () ())
#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) (patch #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())
#s(alt #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x)) (patch #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())
#s(alt #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x)) (patch #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 x #s(literal 2 binary64)) x) (patch (*.f64 (+.f64 x #s(literal 2 binary64)) x) #<representation binary64>) () ())
#s(alt (+.f64 x #s(literal 2 binary64)) (patch (+.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* 2 x) (taylor 0 x) (#s(alt (fma.f64 (+.f64 x #s(literal 1 binary64)) x x) (patch (fma.f64 (+.f64 x #s(literal 1 binary64)) x x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 x)) (taylor 0 x) (#s(alt (fma.f64 (+.f64 x #s(literal 1 binary64)) x x) (patch (fma.f64 (+.f64 x #s(literal 1 binary64)) x x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 x)) (taylor 0 x) (#s(alt (fma.f64 (+.f64 x #s(literal 1 binary64)) x x) (patch (fma.f64 (+.f64 x #s(literal 1 binary64)) x x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 x)) (taylor 0 x) (#s(alt (fma.f64 (+.f64 x #s(literal 1 binary64)) x x) (patch (fma.f64 (+.f64 x #s(literal 1 binary64)) x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (fma.f64 (+.f64 x #s(literal 1 binary64)) x x) (patch (fma.f64 (+.f64 x #s(literal 1 binary64)) x x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 (+.f64 x #s(literal 1 binary64)) x x) (patch (fma.f64 (+.f64 x #s(literal 1 binary64)) x x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 (+.f64 x #s(literal 1 binary64)) x x) (patch (fma.f64 (+.f64 x #s(literal 1 binary64)) x x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 (+.f64 x #s(literal 1 binary64)) x x) (patch (fma.f64 (+.f64 x #s(literal 1 binary64)) x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 (+.f64 x #s(literal 1 binary64)) x x) (patch (fma.f64 (+.f64 x #s(literal 1 binary64)) x x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (+.f64 x #s(literal 1 binary64)) x x) (patch (fma.f64 (+.f64 x #s(literal 1 binary64)) x x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (+.f64 x #s(literal 1 binary64)) x x) (patch (fma.f64 (+.f64 x #s(literal 1 binary64)) x x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (+.f64 x #s(literal 1 binary64)) x x) (patch (fma.f64 (+.f64 x #s(literal 1 binary64)) x x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 x)) (taylor 0 x) (#s(alt (-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 x)) (taylor 0 x) (#s(alt (-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 x)) (taylor 0 x) (#s(alt (-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) (patch #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 x)) (taylor 0 x) (#s(alt #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) (patch #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 2 x))) (taylor 0 x) (#s(alt #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) (patch #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 2 x))) (taylor 0 x) (#s(alt #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) (patch #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) (patch #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) (patch #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) (patch #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) (patch #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) (patch #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) (patch #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) (patch #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) (patch #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x)) (patch #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 x)) (taylor 0 x) (#s(alt #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x)) (patch #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 x)) (taylor 0 x) (#s(alt #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x)) (patch #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 x)) (taylor 0 x) (#s(alt #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x)) (patch #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x)) (patch #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x)) (patch #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x)) (patch #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x)) (patch #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x)) (patch #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x)) (patch #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x)) (patch #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x)) (patch #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x)) (patch #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 x)) (taylor 0 x) (#s(alt #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x)) (patch #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 x)) (taylor 0 x) (#s(alt #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x)) (patch #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 x)) (taylor 0 x) (#s(alt #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x)) (patch #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x)) (patch #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x)) (patch #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x)) (patch #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x)) (patch #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x)) (patch #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x)) (patch #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x)) (patch #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x)) (patch #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 (+.f64 x #s(literal 2 binary64)) x) (patch (*.f64 (+.f64 x #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 x)) (taylor 0 x) (#s(alt (*.f64 (+.f64 x #s(literal 2 binary64)) x) (patch (*.f64 (+.f64 x #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 x)) (taylor 0 x) (#s(alt (*.f64 (+.f64 x #s(literal 2 binary64)) x) (patch (*.f64 (+.f64 x #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 x)) (taylor 0 x) (#s(alt (*.f64 (+.f64 x #s(literal 2 binary64)) x) (patch (*.f64 (+.f64 x #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 (+.f64 x #s(literal 2 binary64)) x) (patch (*.f64 (+.f64 x #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (+.f64 x #s(literal 2 binary64)) x) (patch (*.f64 (+.f64 x #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (+.f64 x #s(literal 2 binary64)) x) (patch (*.f64 (+.f64 x #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (+.f64 x #s(literal 2 binary64)) x) (patch (*.f64 (+.f64 x #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 (+.f64 x #s(literal 2 binary64)) x) (patch (*.f64 (+.f64 x #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 (+.f64 x #s(literal 2 binary64)) x) (patch (*.f64 (+.f64 x #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 (+.f64 x #s(literal 2 binary64)) x) (patch (*.f64 (+.f64 x #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 (+.f64 x #s(literal 2 binary64)) x) (patch (*.f64 (+.f64 x #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 x) (#s(alt (+.f64 x #s(literal 2 binary64)) (patch (+.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 2 binary64)) (patch (+.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 2 binary64)) (patch (+.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 2 binary64)) (patch (+.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x #s(literal 2 binary64)) (patch (+.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 x #s(literal 2 binary64)) (patch (+.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 x #s(literal 2 binary64)) (patch (+.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 x #s(literal 2 binary64)) (patch (+.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x #s(literal 2 binary64)) (patch (+.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 2 binary64)) (patch (+.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 2 binary64)) (patch (+.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 2 binary64)) (patch (+.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
Calls

30 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(* (+ x 2) x)
0.0ms
x
@-inf
(+ (* (+ x 1) x) x)
0.0ms
x
@inf
(+ (* (+ x 1) x) x)
0.0ms
x
@-inf
(* 2 x)
0.0ms
x
@inf
(* 2 x)

simplify381.0ms (7.7%)

Memory
-3.3MiB live, 196.1MiB allocated
Algorithm
1×egg-herbie
Rules
23 092×lower-fma.f64
23 092×lower-fma.f32
5 950×lower-*.f64
5 950×lower-*.f32
2 612×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021466
164466
2127466
3256466
4530466
52233466
63577466
74434466
85071466
95925466
106262466
116524466
127940466
08059459
Stop Event
1×iter limit
1×node limit
Counts
120 → 116
Calls
Call 1
Inputs
(* 2 x)
(* x (+ 2 x))
(* x (+ 2 x))
(* x (+ 2 x))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* 2 x)
(* x (+ 2 x))
(* x (+ 2 x))
(* x (+ 2 x))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 x)))
(+ 1 (* x (+ 2 x)))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* x (+ 2 x))
(* x (+ 2 x))
(* x (+ 2 x))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* 2 x)
(* x (+ 2 x))
(* x (+ 2 x))
(* x (+ 2 x))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 2 x)
(* x (+ 2 x))
(* x (+ 2 x))
(* x (+ 2 x))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
2
(+ 2 x)
(+ 2 x)
(+ 2 x)
x
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
x
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
Outputs
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* x (+ 2 x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* x (+ 2 x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* x (+ 2 x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* x (+ 2 x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 2 x)))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(+ 1 (* x (+ 2 x)))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* x (+ 2 x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* x (+ 2 x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* x (+ 2 x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* x (+ 2 x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* x (+ 2 x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* x (+ 2 x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
2
#s(literal 2 binary64)
(+ 2 x)
(+.f64 #s(literal 2 binary64) x)
(+ 2 x)
(+.f64 #s(literal 2 binary64) x)
(+ 2 x)
(+.f64 #s(literal 2 binary64) x)
x
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) x)
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) x)
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) x)
x
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) x)
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) x)
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) x)

rewrite517.0ms (10.4%)

Memory
-10.1MiB live, 292.8MiB allocated
Rules
11 386×lower-fma.f32
11 384×lower-fma.f64
4 080×lower-*.f32
4 074×lower-*.f64
3 682×lower-/.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01669
02462
110160
270956
0831056
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
10 → 1 437
Calls
Call 1
Inputs
(fma.f64 (+.f64 x #s(literal 1 binary64)) x x)
(+.f64 x #s(literal 1 binary64))
(-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) x)
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x))
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))
(*.f64 x x)
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(+.f64 x #s(literal 2 binary64))
Outputs
(+.f64 x (fma.f64 x x x))
(+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal -1 binary64)))
(+.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(+.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
(+.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) #s(literal 0 binary64))
(+.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) (*.f64 (+.f64 x #s(literal 2 binary64)) #s(literal 0 binary64)))
(+.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) (+.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 x x) (*.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 x x) (+.f64 x x))
(+.f64 (fma.f64 x x x) x)
(+.f64 #s(literal -1 binary64) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 2 binary64))))
(+.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))))
(+.f64 (/.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x x)) (*.f64 x x)) (neg.f64 (*.f64 x (/.f64 x (*.f64 x x)))))
(+.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))))
(+.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))))
(+.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
(+.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (+.f64 x #s(literal 2 binary64))))
(+.f64 (+.f64 x x) (*.f64 x x))
(+.f64 (+.f64 #s(literal -1 binary64) (fma.f64 x x x)) (+.f64 x #s(literal 1 binary64)))
(-.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x x)) (*.f64 x x)) (*.f64 x (/.f64 x (*.f64 x x))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -2 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal -2 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal -2 binary64))) (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal -2 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -2 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal -2 binary64)))) (*.f64 (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal -2 binary64))))) (fma.f64 x (/.f64 x (+.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal -2 binary64)))))
(/.f64 (*.f64 (fma.f64 x x #s(literal -4 binary64)) #s(literal 1 binary64)) (+.f64 x #s(literal -2 binary64)))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 8 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 4 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 512 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 4 binary64)))) (-.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 64 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 8 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 4 binary64)))) (fma.f64 x (*.f64 x x) #s(literal -8 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -2 binary64)))) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 16 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -2 binary64)))) (fma.f64 x x #s(literal 4 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))
(*.f64 x (/.f64 (+.f64 x #s(literal 2 binary64)) x))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64)))
(*.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 4 binary64))))
(*.f64 (fma.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) x))
(*.f64 (fma.f64 x x #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -2 binary64))))
(*.f64 (*.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) x))
(*.f64 (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 x #s(literal 2 binary64)) (/.f64 x x))
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 4 binary64)))))
(*.f64 (fma.f64 x (neg.f64 x) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 x) #s(literal 2 binary64))))
(*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 4 binary64))) (fma.f64 x (*.f64 x x) #s(literal 8 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -2 binary64))) (fma.f64 x x #s(literal -4 binary64)))
(*.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -4 binary64)) (fma.f64 x x #s(literal -4 binary64))) (+.f64 x #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) (*.f64 x (+.f64 x #s(literal 2 binary64)))) (+.f64 x #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 8 binary64)) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)))))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (*.f64 x x)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 8 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 4 binary64)) (+.f64 (fma.f64 x x #s(literal -4 binary64)) (*.f64 x #s(literal 2 binary64))))) (+.f64 (fma.f64 x x #s(literal -4 binary64)) (*.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -4 binary64)) (fma.f64 x (*.f64 x x) #s(literal -8 binary64))) (fma.f64 x x (fma.f64 x #s(literal 2 binary64) #s(literal 4 binary64))))

eval339.0ms (6.9%)

Memory
-14.7MiB live, 197.7MiB allocated
Compiler

Compiled 41 371 to 1 874 computations (95.5% saved)

prune148.0ms (3%)

Memory
14.7MiB live, 175.1MiB allocated
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New1 55301 553
Fresh000
Picked055
Done000
Total1 55351 558
Accuracy
100.0%
Counts
1 558 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(fma.f64 (+.f64 x #s(literal 1 binary64)) x x)
✓3.7%
(-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓100.0%
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
✓49.8%
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))
✓53.5%
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x))
Compiler

Compiled 61 to 28 computations (54.1% saved)

regimes10.0ms (0.2%)

Memory
-17.6MiB live, 12.9MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x))
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(fma.f64 (+.f64 x #s(literal 1 binary64)) x x)
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
Outputs
(fma.f64 (+.f64 x #s(literal 1 binary64)) x x)
Calls

4 calls:

2.0ms
x
2.0ms
(+.f64 x #s(literal 1 binary64))
2.0ms
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
2.0ms
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
100.0%1(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
100.0%1(+.f64 x #s(literal 1 binary64))
Compiler

Compiled 24 to 13 computations (45.8% saved)

regimes7.0ms (0.1%)

Memory
10.9MiB live, 10.9MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x))
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
Outputs
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
Calls

4 calls:

2.0ms
x
2.0ms
(+.f64 x #s(literal 1 binary64))
2.0ms
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
2.0ms
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
100.0%1(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
100.0%1(+.f64 x #s(literal 1 binary64))
Compiler

Compiled 24 to 13 computations (45.8% saved)

regimes7.0ms (0.1%)

Memory
10.0MiB live, 10.0MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
(-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x))
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))
Outputs
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x))
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))
Calls

4 calls:

2.0ms
x
2.0ms
(+.f64 x #s(literal 1 binary64))
1.0ms
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
1.0ms
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
98.5%3x
98.5%2(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
98.5%2(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
98.5%3(+.f64 x #s(literal 1 binary64))
Compiler

Compiled 24 to 13 computations (45.8% saved)

regimes6.0ms (0.1%)

Memory
9.1MiB live, 9.1MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x))
Outputs
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x))
Calls

4 calls:

1.0ms
x
1.0ms
(+.f64 x #s(literal 1 binary64))
1.0ms
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
1.0ms
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
53.5%1x
53.5%1(+.f64 x #s(literal 1 binary64))
53.5%1(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
53.5%1(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
Compiler

Compiled 24 to 13 computations (45.8% saved)

regimes6.0ms (0.1%)

Memory
-22.8MiB live, 8.3MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64))
Outputs
(-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64))
Calls

4 calls:

2.0ms
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
1.0ms
x
1.0ms
(+.f64 x #s(literal 1 binary64))
1.0ms
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
3.7%1x
3.7%1(+.f64 x #s(literal 1 binary64))
3.7%1(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
3.7%1(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
Compiler

Compiled 24 to 13 computations (45.8% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.5203990147953963
15258648.590805156
Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify6.0ms (0.1%)

Memory
8.6MiB live, 8.6MiB allocated
Algorithm
1×egg-herbie
Rules
8×+-commutative_binary64
6×*-commutative_binary64
4×unsub-neg_binary64
4×sub-neg_binary64
4×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01971
12871
23271
33571
43871
54171
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 (+.f64 x #s(literal 1 binary64)) x x)
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(if (<=.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x)) #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x)))
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x))
(-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64))
Outputs
(fma.f64 (+.f64 x #s(literal 1 binary64)) x x)
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(if (<=.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x)) #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x)))
(if (<=.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x #s(literal 2 binary64))) #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x)))
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x))
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x #s(literal 2 binary64)))
(-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal -1 binary64))

soundness607.0ms (12.3%)

Memory
-0.4MiB live, 119.2MiB allocated
Rules
23 092×lower-fma.f64
23 092×lower-fma.f32
5 874×lower-*.f64
5 874×lower-*.f32
5 388×lower-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
020148
158148
2115148
3287148
4561148
52333148
63677148
74526148
85154148
96026148
106363148
116633148
08055141
0519
0815
14815
237913
3633413
0823713
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 85 to 39 computations (54.1% saved)

preprocess72.0ms (1.5%)

Memory
-13.5MiB live, 72.0MiB allocated
Compiler

Compiled 96 to 38 computations (60.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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