Expanding a square

Time bar (total: 4.0s)

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)

sample753.0ms (18.7%)

Memory
26.3MiB live, 701.7MiB allocated
Samples
173.0ms2 377×1valid
168.0ms1 601×2valid
139.0ms4 278×0valid
Precisions
Click to see histograms. Total time spent on operations: 322.0ms
ival-mult: 82.0ms (25.5% of total)
ival-sub: 80.0ms (24.9% of total)
ival-add: 78.0ms (24.3% of total)
adjust: 69.0ms (21.5% of total)
ival-true: 5.0ms (1.6% of total)
exact: 5.0ms (1.6% of total)
ival-assert: 3.0ms (0.9% of total)
Bogosity

explain77.0ms (1.9%)

Memory
14.0MiB live, 109.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1170-0-(-.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))cancellation1170
Confusion
Predicted +Predicted -
+1170
-0139
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+11700
-00139
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0139
1117
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
11.0ms100×2valid
11.0ms128×1valid
11.0ms284×0valid
Compiler

Compiled 55 to 19 computations (65.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-add: 5.0ms (25.6% of total)
ival-sub: 5.0ms (25.6% of total)
ival-mult: 5.0ms (25.6% of total)
adjust: 4.0ms (20.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess387.0ms (9.6%)

Memory
6.8MiB live, 200.1MiB 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 (-.f64 x #s(literal -2 binary64)) x)
Compiler

Compiled 9 to 5 computations (44.4% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory
-30.2MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶58.0%
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
Compiler

Compiled 9 to 5 computations (44.4% saved)

simplify164.0ms (4.1%)

Memory
7.3MiB live, 129.4MiB 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 (-.f64 x #s(literal -2 binary64)) x)
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 (-.f64 x #s(literal -2 binary64)) x #s(literal 1 binary64))
(+.f64 x #s(literal 1 binary64))
(-.f64 x #s(literal -1 binary64))
x
#s(literal 1 binary64)

localize20.0ms (0.5%)

Memory
26.0MiB live, 26.0MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 x #s(literal 1 binary64))
accuracy0.015625
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
accuracy26.861009028007
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
Samples
5.0ms50×2valid
5.0ms142×0valid
5.0ms64×1valid
Compiler

Compiled 23 to 7 computations (69.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
adjust: 2.0ms (22.5% of total)
ival-add: 2.0ms (22.5% of total)
ival-sub: 2.0ms (22.5% of total)
ival-mult: 2.0ms (22.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series2.0ms (0.1%)

Memory
4.0MiB live, 4.0MiB 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 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 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 (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 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 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 (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 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 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

3 calls:

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

simplify213.0ms (5.3%)

Memory
-10.5MiB live, 143.1MiB 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
3290148
4561148
52376148
63744148
74603148
85228148
96074148
106411148
116675148
08086141
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))
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 x)))
(+ 1 (* x (+ 2 x)))
1
(+ 1 x)
(+ 1 x)
(+ 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) (+ 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)))))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 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) (+ 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)))))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
Outputs
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 x))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(* x (+ 2 x))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(* x (+ 2 x))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* 2 x))
(fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64))
(+ 1 (* x (+ 2 x)))
(fma.f64 (+.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 2 x)))
(fma.f64 (+.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (+.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (+.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (+.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (+.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)

rewrite170.0ms (4.2%)

Memory
-1.8MiB live, 130.0MiB 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 (/.f64 (expm1.f64 (*.f64 #s(literal 4 binary64) (log1p.f64 x))) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 4 binary64) (log1p.f64 x))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) x) x) #s(literal 1 binary64)))
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) #s(literal 6 binary64))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 8 binary64)) (pow.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (*.f64 #s(literal 4 binary64) (log1p.f64 x))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 12 binary64)))) (fma.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) (-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 8 binary64))))
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 4 binary64) (log1p.f64 x))) (expm1.f64 (*.f64 #s(literal 4 binary64) (log1p.f64 x)))) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
(*.f64 (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
(*.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) #s(literal -1 binary64)) (expm1.f64 (*.f64 #s(literal 4 binary64) (log1p.f64 x))))
(*.f64 (pow.f64 (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))) #s(literal -1 binary64)) (expm1.f64 (*.f64 (log1p.f64 x) #s(literal 6 binary64))))
(*.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 4 binary64) (log1p.f64 x)))) (pow.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 x) #s(literal 6 binary64)))) (pow.f64 (neg.f64 (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)))) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
(*.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64))))
(*.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) (pow.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) #s(literal -1 binary64))))
(*.f64 (expm1.f64 (*.f64 #s(literal 4 binary64) (log1p.f64 x))) (pow.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 x) #s(literal 6 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 x) #s(literal 6 binary64))) (pow.f64 (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (expm1.f64 (*.f64 (log1p.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 2 binary64) x)) (+.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) (+.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1 binary64)) x) (fma.f64 #s(literal -1 binary64) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) x) x)
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 x) #s(literal 8 binary64))) (pow.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 x) #s(literal 12 binary64))) (pow.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))))
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 x) #s(literal 12 binary64))) (pow.f64 (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))) #s(literal -1 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 x) #s(literal 18 binary64))) (pow.f64 (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 6 binary64))))
(/.f64 (*.f64 x (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal -1 binary64) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(/.f64 (*.f64 x (*.f64 (+.f64 #s(literal 2 binary64) x) x)) x)
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) (expm1.f64 (*.f64 (log1p.f64 x) #s(literal 3 binary64)))) (+.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x) #s(literal 2 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) (*.f64 (+.f64 #s(literal 2 binary64) x) x)) (+.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 x) #s(literal 6 binary64))) #s(literal 1 binary64)) (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)))) (*.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64))) (pow.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))))) (*.f64 (pow.f64 (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)))) (pow.f64 (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (fma.f64 x x x) x))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64))) (fma.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64))) (pow.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)))) (fma.f64 (pow.f64 (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)))) (pow.f64 (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 x x x) x))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal 4 binary64) (log1p.f64 x))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 x) #s(literal 6 binary64))))) (neg.f64 (neg.f64 (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))))))
(/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 4 binary64) (log1p.f64 x))) #s(literal 1 binary64)) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)))
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x) #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 x) #s(literal 3 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) x) x)) (*.f64 (+.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x) #s(literal 2 binary64)) x))
(/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal -1 binary64) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) x) x)) (*.f64 (fma.f64 #s(literal -1 binary64) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) x)))
(/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) (expm1.f64 (*.f64 (log1p.f64 x) #s(literal 3 binary64)))) (*.f64 x (+.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) (*.f64 (+.f64 #s(literal 2 binary64) x) x)) (*.f64 (+.f64 #s(literal 2 binary64) x) x))
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 x) #s(literal 8 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64))))
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 x) #s(literal 12 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64))))
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 x) #s(literal 12 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)))))
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 x) #s(literal 18 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 6 binary64))) (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)))))
(/.f64 (-.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 6 binary64))) (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64))) (pow.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)))) (*.f64 (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))) #s(literal 1 binary64))) (*.f64 (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))) (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)))))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(neg.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal -1 binary64) x (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) (*.f64 (+.f64 #s(literal 2 binary64) x) x)) x #s(literal 1 binary64))
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 x) #s(literal 3 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 2 binary64) x) (/.f64 x (+.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(fma.f64 (expm1.f64 (*.f64 #s(literal 4 binary64) (log1p.f64 x))) (/.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 x) #s(literal 6 binary64))) (/.f64 (pow.f64 (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) (pow.f64 (+.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 x (/.f64 (+.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))
(fma.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64)))
(+.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))

eval152.0ms (3.8%)

Memory
1.8MiB live, 96.3MiB allocated
Compiler

Compiled 14 600 to 1 684 computations (88.5% saved)

prune185.0ms (4.6%)

Memory
-0.7MiB live, 30.1MiB 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 x x (+.f64 x x))
▶3.5%
(-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64))
▶100.0%
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
▶55.4%
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))
▶47.2%
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x #s(literal 2 binary64)))
Compiler

Compiled 46 to 36 computations (21.7% saved)

simplify156.0ms (3.9%)

Memory
-6.7MiB live, 66.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 #s(literal 2 binary64) x)
cost-diff0
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))
cost-diff0
(*.f64 x #s(literal 2 binary64))
cost-diff0
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x #s(literal 2 binary64)))
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-diff-128
(+.f64 x x)
cost-diff192
(fma.f64 x x (+.f64 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
01676
02377
14671
27867
312967
450767
5169567
6418867
7601267
8736667
0814765
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(fma.f64 x x (+.f64 x x))
x
(+.f64 x x)
(-.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 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))
(*.f64 x x)
x
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
(+.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
Outputs
(fma.f64 x x (+.f64 x x))
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
x
(+.f64 x x)
(*.f64 #s(literal 2 binary64) x)
(-.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 x #s(literal 2 binary64)))
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
x
#s(literal 2 binary64)
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))
(*.f64 x x)
x
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
(*.f64 (-.f64 x #s(literal -2 binary64)) x)
(+.f64 #s(literal 2 binary64) x)
(-.f64 x #s(literal -2 binary64))
#s(literal 2 binary64)
x

localize174.0ms (4.3%)

Memory
-13.6MiB live, 17.2MiB allocated
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 #s(literal 2 binary64) x)
accuracy0.0078125
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
accuracy0
(*.f64 x x)
accuracy28.572886557923667
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))
accuracy0
(*.f64 x #s(literal 2 binary64))
accuracy33.77950732697325
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x #s(literal 2 binary64)))
accuracy26.861009028007
(-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy33.70731237211996
#s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64))
accuracy0
(fma.f64 x x (+.f64 x x))
accuracy0
(+.f64 x x)
Samples
11.0ms142×0valid
10.0ms50×2valid
9.0ms64×1valid
Compiler

Compiled 67 to 14 computations (79.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 7.0ms (38.1% of total)
adjust: 5.0ms (27.2% of total)
ival-add: 5.0ms (27.2% of total)
ival-sub: 2.0ms (10.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series6.0ms (0.2%)

Memory
3.5MiB live, 3.5MiB allocated
Counts
10 → 120
Calls
Call 1
Inputs
#s(alt (fma.f64 x x (+.f64 x x)) (patch (fma.f64 x x (+.f64 x x)) #<representation binary64>) () ())
#s(alt (+.f64 x x) (patch (+.f64 x x) #<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 #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x #s(literal 2 binary64))) (patch #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<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 #s(literal 2 binary64) x) x) (patch (*.f64 (+.f64 #s(literal 2 binary64) x) x) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 2 binary64) x) (patch (+.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())
Outputs
#s(alt (* 2 x) (taylor 0 x) (#s(alt (fma.f64 x x (+.f64 x x)) (patch (fma.f64 x x (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 x)) (taylor 0 x) (#s(alt (fma.f64 x x (+.f64 x x)) (patch (fma.f64 x x (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 x)) (taylor 0 x) (#s(alt (fma.f64 x x (+.f64 x x)) (patch (fma.f64 x x (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 x)) (taylor 0 x) (#s(alt (fma.f64 x x (+.f64 x x)) (patch (fma.f64 x x (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<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 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 (* 2 x) (taylor 0 x) (#s(alt #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x #s(literal 2 binary64))) (patch #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 x)) (taylor 0 x) (#s(alt #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x #s(literal 2 binary64))) (patch #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 x)) (taylor 0 x) (#s(alt #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x #s(literal 2 binary64))) (patch #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 x)) (taylor 0 x) (#s(alt #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x #s(literal 2 binary64))) (patch #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.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 (* 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 #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 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 (* 2 x) (taylor 0 x) (#s(alt (*.f64 (+.f64 #s(literal 2 binary64) x) x) (patch (*.f64 (+.f64 #s(literal 2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 x)) (taylor 0 x) (#s(alt (*.f64 (+.f64 #s(literal 2 binary64) x) x) (patch (*.f64 (+.f64 #s(literal 2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 x)) (taylor 0 x) (#s(alt (*.f64 (+.f64 #s(literal 2 binary64) x) x) (patch (*.f64 (+.f64 #s(literal 2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 x)) (taylor 0 x) (#s(alt (*.f64 (+.f64 #s(literal 2 binary64) x) x) (patch (*.f64 (+.f64 #s(literal 2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt 2 (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 (pow x 2) (taylor inf x) (#s(alt (fma.f64 x x (+.f64 x x)) (patch (fma.f64 x x (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x x (+.f64 x x)) (patch (fma.f64 x x (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x x (+.f64 x x)) (patch (fma.f64 x x (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x x (+.f64 x x)) (patch (fma.f64 x x (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (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 #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 #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)) 1) (*.f64 x #s(literal 2 binary64))) (patch #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x #s(literal 2 binary64))) #<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 #s(literal 2 binary64))) (patch #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x #s(literal 2 binary64))) #<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 #s(literal 2 binary64))) (patch #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x #s(literal 2 binary64))) #<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 #s(literal 2 binary64))) (patch #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<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 (*.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 (+.f64 #s(literal 2 binary64) x) x) (patch (*.f64 (+.f64 #s(literal 2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (+.f64 #s(literal 2 binary64) x) x) (patch (*.f64 (+.f64 #s(literal 2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (+.f64 #s(literal 2 binary64) x) x) (patch (*.f64 (+.f64 #s(literal 2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (+.f64 #s(literal 2 binary64) x) x) (patch (*.f64 (+.f64 #s(literal 2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 #s(literal 2 binary64) x) (patch (+.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 #s(literal 2 binary64) x) (patch (+.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 #s(literal 2 binary64) x) (patch (+.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 2 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 #s(literal 2 binary64) x) (patch (+.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 x x (+.f64 x x)) (patch (fma.f64 x x (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x x (+.f64 x x)) (patch (fma.f64 x x (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x x (+.f64 x x)) (patch (fma.f64 x x (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x x (+.f64 x x)) (patch (fma.f64 x x (+.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (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 #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 #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)) 1) (*.f64 x #s(literal 2 binary64))) (patch #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x #s(literal 2 binary64))) #<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 #s(literal 2 binary64))) (patch #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x #s(literal 2 binary64))) #<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 #s(literal 2 binary64))) (patch #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x #s(literal 2 binary64))) #<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 #s(literal 2 binary64))) (patch #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<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 (*.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 (+.f64 #s(literal 2 binary64) x) x) (patch (*.f64 (+.f64 #s(literal 2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 (+.f64 #s(literal 2 binary64) x) x) (patch (*.f64 (+.f64 #s(literal 2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 (+.f64 #s(literal 2 binary64) x) x) (patch (*.f64 (+.f64 #s(literal 2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 (+.f64 #s(literal 2 binary64) x) x) (patch (*.f64 (+.f64 #s(literal 2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 #s(literal 2 binary64) x) (patch (+.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 #s(literal 2 binary64) x) (patch (+.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 #s(literal 2 binary64) x) (patch (+.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 2 (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 #s(literal 2 binary64) x) (patch (+.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((+ (* x x) (+ x x)) (+ x x) (- (* (+ x 1) (+ x 1)) 1) (* (+ x 1) (+ x 1)) (- (* (+ x 1) (+ x 1)) 1) (* x 2) (- (* (+ x 1) (+ x 1)) 1) (* x x) (* (+ 2 x) x) (+ 2 x))
1.0ms
x
@inf
((+ (* x x) (+ x x)) (+ x x) (- (* (+ x 1) (+ x 1)) 1) (* (+ x 1) (+ x 1)) (- (* (+ x 1) (+ x 1)) 1) (* x 2) (- (* (+ x 1) (+ x 1)) 1) (* x x) (* (+ 2 x) x) (+ 2 x))
1.0ms
x
@0
((+ (* x x) (+ x x)) (+ x x) (- (* (+ x 1) (+ x 1)) 1) (* (+ x 1) (+ x 1)) (- (* (+ x 1) (+ x 1)) 1) (* x 2) (- (* (+ x 1) (+ x 1)) 1) (* x x) (* (+ 2 x) x) (+ 2 x))

simplify296.0ms (7.4%)

Memory
18.5MiB live, 115.4MiB allocated
Algorithm
1×egg-herbie
Rules
20 676×lower-fma.f64
20 676×lower-fma.f32
5 526×lower-*.f64
5 526×lower-*.f32
2 632×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
018472
154472
2118472
3291472
4550472
52104472
63383472
74413472
85048472
95921472
106258472
116528472
127430472
08111465
Stop Event
1×iter limit
1×node limit
Counts
120 → 118
Calls
Call 1
Inputs
(* 2 x)
(* x (+ 2 x))
(* x (+ 2 x))
(* x (+ 2 x))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* x (+ 2 x))
(* x (+ 2 x))
(* x (+ 2 x))
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 x)))
(+ 1 (* x (+ 2 x)))
(* 2 x)
(* x (+ 2 x))
(* x (+ 2 x))
(* 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)
(pow x 2)
(pow x 2)
(* 2 x)
(* x (+ 2 x))
(* x (+ 2 x))
(* x (+ 2 x))
2
(+ 2 x)
(+ 2 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))))
(* 2 x)
(* 2 x)
(* 2 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)) (/ 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))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* 2 x)
(* 2 x)
(* 2 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)
(pow x 2)
(pow x 2)
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
x
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 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)
(* 2 x)
(* 2 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)) (/ 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))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* 2 x)
(* 2 x)
(* 2 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)
(pow x 2)
(pow x 2)
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
x
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
Outputs
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 x))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(* x (+ 2 x))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(* x (+ 2 x))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 x))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(* x (+ 2 x))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(* x (+ 2 x))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* 2 x))
(fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64))
(+ 1 (* x (+ 2 x)))
(fma.f64 (+.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 2 x)))
(fma.f64 (+.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 x))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(* x (+ 2 x))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(* x (+ 2 x))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 x))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(* x (+ 2 x))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(* x (+ 2 x))
(*.f64 (+.f64 x #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)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 x))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(* x (+ 2 x))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(* x (+ 2 x))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
2
#s(literal 2 binary64)
(+ 2 x)
(+.f64 x #s(literal 2 binary64))
(+ 2 x)
(+.f64 x #s(literal 2 binary64))
(+ 2 x)
(+.f64 x #s(literal 2 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (+.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (+.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 (+.f64 x #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) (+ 1 (* 2 (/ 1 x))))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
x
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 x #s(literal 2 binary64))
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 x #s(literal 2 binary64))
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 x #s(literal 2 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (+.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (+.f64 x #s(literal 2 binary64)) x #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 (+.f64 x #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) (+ 1 (* 2 (/ 1 x))))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
x
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 x #s(literal 2 binary64))
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 x #s(literal 2 binary64))
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 x #s(literal 2 binary64))

rewrite48.0ms (1.2%)

Memory
3.9MiB live, 33.4MiB allocated
Rules
624×lower-fma.f32
622×lower-fma.f64
338×lower-/.f64
338×lower-/.f32
330×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01669
02362
111060
088456
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
10 → 209
Calls
Call 1
Inputs
(fma.f64 x x (+.f64 x x))
(+.f64 x x)
(-.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(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))
(*.f64 x x)
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
(+.f64 #s(literal 2 binary64) x)
Outputs
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 2 binary64)))))
(*.f64 (fma.f64 #s(literal 2 binary64) x (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x)) x) (-.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 (+.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x x))) (-.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 x (+.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x x)) (*.f64 x x)) (-.f64 (fma.f64 x x x) x))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 x x x) (fma.f64 x x x) (-.f64 (*.f64 x x) (*.f64 (fma.f64 x x x) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) x))) (neg.f64 (*.f64 x (-.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) x)) (*.f64 x (-.f64 x #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 2 binary64) x (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 2 binary64) x (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal 2 binary64) x (pow.f64 x #s(literal 6 binary64))) (+.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) x (pow.f64 x #s(literal 6 binary64)))))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x (*.f64 x x))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64) (*.f64 x x))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) x))
(fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64)) (*.f64 x x))
(fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 x x))
(fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x x))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (*.f64 x x))
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (*.f64 x x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (*.f64 x x))
(fma.f64 (*.f64 x x) #s(literal 4 binary64) (*.f64 x x))
(fma.f64 #s(literal 2 binary64) (*.f64 x (*.f64 #s(literal 2 binary64) x)) (*.f64 x x))
(fma.f64 #s(literal 2 binary64) x (*.f64 x x))
(fma.f64 (+.f64 #s(literal 1 binary64) x) x x)
(fma.f64 #s(literal 1 binary64) x (fma.f64 x x x))
(fma.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) x) (*.f64 x x))
(fma.f64 x (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)) (*.f64 x x))
(fma.f64 x #s(literal 2 binary64) (*.f64 x x))
(fma.f64 x (+.f64 #s(literal 1 binary64) x) x)
(fma.f64 x #s(literal 1 binary64) (fma.f64 x x x))
(fma.f64 x x (*.f64 #s(literal 2 binary64) x))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 x #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 x (-.f64 x #s(literal 2 binary64)))))
(+.f64 (fma.f64 x x x) x)
(+.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) x))
(+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 x x))
(+.f64 x (fma.f64 x x x))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 x x))
(*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))
(*.f64 (*.f64 x x) #s(literal 4 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 #s(literal 2 binary64) x)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) x))
(*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))
(*.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) x)) #s(literal 0 binary64))
(/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 1 binary64) x x)
(fma.f64 (*.f64 #s(literal 2 binary64) x) x (*.f64 (*.f64 #s(literal 2 binary64) x) x))
(fma.f64 x #s(literal 1 binary64) x)
(fma.f64 x (*.f64 #s(literal 2 binary64) x) (*.f64 x (*.f64 #s(literal 2 binary64) x)))
(-.f64 (/.f64 (*.f64 x x) #s(literal 0 binary64)) (/.f64 (*.f64 x x) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))
(+.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 #s(literal 2 binary64) x)))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) (*.f64 (*.f64 #s(literal 2 binary64) x) x))
(+.f64 x x)
(*.f64 (fma.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 (pow.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) (+.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) (+.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (fma.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #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)))
(/.f64 (fma.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #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)))
(/.f64 (-.f64 (pow.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) (+.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) (+.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))))
(fma.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) (+.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(approx (* (+ x 1) (+ x 1)) #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))
(+.f64 #s(literal -1 binary64) #s(approx (* (+ x 1) (+ x 1)) #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))
(*.f64 #s(literal 1 binary64) #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)))
#s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64))
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 x x))
(*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))
(*.f64 (*.f64 x x) #s(literal 4 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 #s(literal 2 binary64) x)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) x))
(*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))
(*.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) x)) #s(literal 0 binary64))
(/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) x)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 1 binary64) x x)
(fma.f64 (*.f64 #s(literal 2 binary64) x) x (*.f64 (*.f64 #s(literal 2 binary64) x) x))
(fma.f64 x #s(literal 1 binary64) x)
(fma.f64 x (*.f64 #s(literal 2 binary64) x) (*.f64 x (*.f64 #s(literal 2 binary64) x)))
(-.f64 (/.f64 (*.f64 x x) #s(literal 0 binary64)) (/.f64 (*.f64 x x) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))
(+.f64 (*.f64 x (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 #s(literal 2 binary64) x)))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) (*.f64 (*.f64 #s(literal 2 binary64) x) x))
(+.f64 x x)
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 2 binary64)))))
(*.f64 (fma.f64 #s(literal 2 binary64) x (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x)) x) (-.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 (+.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x x))) (-.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 x (+.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (-.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x x)) (*.f64 x x)) (-.f64 (fma.f64 x x x) x))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 x x x) (fma.f64 x x x) (-.f64 (*.f64 x x) (*.f64 (fma.f64 x x x) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) x))) (neg.f64 (*.f64 x (-.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) x)) (*.f64 x (-.f64 x #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 2 binary64) x (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 2 binary64) x (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal 2 binary64) x (pow.f64 x #s(literal 6 binary64))) (+.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) x (pow.f64 x #s(literal 6 binary64)))))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x (*.f64 x x))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64) (*.f64 x x))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) x))
(fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64)) (*.f64 x x))
(fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 x x))
(fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x x))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (*.f64 x x))
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (*.f64 x x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (*.f64 x x))
(fma.f64 (*.f64 x x) #s(literal 4 binary64) (*.f64 x x))
(fma.f64 #s(literal 2 binary64) (*.f64 x (*.f64 #s(literal 2 binary64) x)) (*.f64 x x))
(fma.f64 #s(literal 2 binary64) x (*.f64 x x))
(fma.f64 (+.f64 #s(literal 1 binary64) x) x x)
(fma.f64 #s(literal 1 binary64) x (fma.f64 x x x))
(fma.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) x) (*.f64 x x))
(fma.f64 x (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)) (*.f64 x x))
(fma.f64 x #s(literal 2 binary64) (*.f64 x x))
(fma.f64 x (+.f64 #s(literal 1 binary64) x) x)
(fma.f64 x #s(literal 1 binary64) (fma.f64 x x x))
(fma.f64 x x (*.f64 #s(literal 2 binary64) x))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 x #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 x (-.f64 x #s(literal 2 binary64)))))
(+.f64 (fma.f64 x x x) x)
(+.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) x))
(+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 x x))
(+.f64 x (fma.f64 x x x))
(*.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))
(*.f64 (+.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (-.f64 (*.f64 x x) #s(literal 4 binary64)) (-.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 2 binary64) x)))
(/.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 #s(literal 2 binary64) x))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) x))))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 x) #s(literal 2 binary64))) (+.f64 x #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 4 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 2 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal 2 binary64))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 2 binary64) x)))
(+.f64 #s(literal 2 binary64) x)
(+.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
(+.f64 x #s(literal 2 binary64))

eval41.0ms (1%)

Memory
-3.4MiB live, 27.2MiB allocated
Compiler

Compiled 2 992 to 384 computations (87.2% saved)

prune13.0ms (0.3%)

Memory
-13.9MiB live, 17.4MiB allocated
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New3261327
Fresh000
Picked145
Done000
Total3275332
Accuracy
100.0%
Counts
332 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(fma.f64 x x (+.f64 x x))
✓3.5%
(-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓100.0%
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
▶47.2%
#s(approx (- (* (+ x 1) (+ x 1)) 1) (+.f64 x x))
✓55.4%
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))
Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify135.0ms (3.4%)

Memory
21.9MiB live, 116.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff-128
(+.f64 x x)
cost-diff0
#s(approx (- (* (+ x 1) (+ x 1)) 1) (+.f64 x x))
Rules
13 298×lower-fma.f64
13 298×lower-fma.f32
3 478×lower-+.f32
3 476×lower-+.f64
2 492×lower-*.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0717
0817
12515
25413
311313
448513
5166513
6414913
7597913
8731613
0819213
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (- (* (+ x 1) (+ x 1)) 1) (+.f64 x x))
(+.f64 x x)
x
Outputs
#s(approx (- (* (+ x 1) (+ x 1)) 1) (+.f64 x x))
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x))
(+.f64 x x)
(*.f64 #s(literal 2 binary64) x)
x

localize183.0ms (4.6%)

Memory
-22.2MiB live, 9.1MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 x x)
accuracy33.77950732697325
#s(approx (- (* (+ x 1) (+ x 1)) 1) (+.f64 x x))
Samples
168.0ms64×1valid
6.0ms50×2valid
5.0ms142×0valid
Compiler

Compiled 15 to 8 computations (46.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 173.0ms
ival-add: 166.0ms (96.1% of total)
adjust: 3.0ms (1.7% of total)
ival-sub: 2.0ms (1.2% of total)
ival-mult: 2.0ms (1.2% 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
1.0MiB live, 1.0MiB allocated
Counts
2 → 24
Calls
Call 1
Inputs
#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>) () ())
Outputs
#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 (* 2 x) (taylor 0 x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (+.f64 x x) (patch (+.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 (* 2 x) (taylor inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (+.f64 x x) (patch (+.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 (* 2 x) (taylor -inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor -inf x) (#s(alt (+.f64 x x) (patch (+.f64 x x) #<representation binary64>) () ())) ())
Calls

3 calls:

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

simplify138.0ms (3.4%)

Memory
17.6MiB live, 56.6MiB allocated
Algorithm
1×egg-herbie
Rules
4 816×lower-fma.f64
4 816×lower-fma.f32
3 854×lower-*.f64
3 854×lower-*.f32
1 732×cube-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01190
13090
25890
310590
415490
526390
6224990
7309290
8395290
9587290
10646690
11724390
12752090
13771590
14785890
0801890
Stop Event
1×iter limit
1×node limit
Counts
24 → 24
Calls
Call 1
Inputs
(* 2 x)
(* x (+ 2 x))
(* x (+ 2 x))
(* x (+ 2 x))
(* 2 x)
(* 2 x)
(* 2 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))))
(* 2 x)
(* 2 x)
(* 2 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))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
Outputs
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 x))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(* x (+ 2 x))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(* x (+ 2 x))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))

rewrite30.0ms (0.7%)

Memory
-23.4MiB live, 8.0MiB allocated
Rules
194×lower-fma.f64
194×lower-fma.f32
164×lower-/.f64
164×lower-/.f32
162×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0716
0814
15514
044912
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
2 → 14
Calls
Call 1
Inputs
#s(approx (- (* (+ x 1) (+ x 1)) 1) (+.f64 x x))
(+.f64 x x)
Outputs
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 1 binary64) x x)
(fma.f64 x #s(literal 1 binary64) x)
(-.f64 (/.f64 (*.f64 x x) #s(literal 0 binary64)) (/.f64 (*.f64 x x) #s(literal 0 binary64)))
(+.f64 x x)

eval3.0ms (0.1%)

Memory
4.7MiB live, 4.7MiB allocated
Compiler

Compiled 230 to 47 computations (79.6% saved)

prune3.0ms (0.1%)

Memory
6.0MiB live, 6.0MiB allocated
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New38038
Fresh000
Picked011
Done044
Total38543
Accuracy
100.0%
Counts
43 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(fma.f64 x x (+.f64 x x))
✓3.5%
(-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓100.0%
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
✓47.2%
#s(approx (- (* (+ x 1) (+ x 1)) 1) (+.f64 x x))
✓55.4%
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))
Compiler

Compiled 59 to 34 computations (42.4% saved)

regimes10.0ms (0.2%)

Memory
8.4MiB live, 8.4MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (- (* (+ x 1) (+ x 1)) 1) (+.f64 x x))
(-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x #s(literal 2 binary64)))
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
(fma.f64 x x (+.f64 x x))
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
Outputs
(fma.f64 x x (+.f64 x x))
Calls

4 calls:

3.0ms
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 20 to 13 computations (35% saved)

regimes10.0ms (0.2%)

Memory
-24.5MiB live, 6.9MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (- (* (+ x 1) (+ x 1)) 1) (+.f64 x x))
(-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x #s(literal 2 binary64)))
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
Outputs
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
Calls

4 calls:

2.0ms
x
2.0ms
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
2.0ms
(+.f64 x #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 20 to 13 computations (35% saved)

regimes8.0ms (0.2%)

Memory
6.6MiB live, 6.6MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (- (* (+ x 1) (+ x 1)) 1) (+.f64 x x))
(-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x #s(literal 2 binary64)))
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))
Outputs
#s(approx (- (* (+ x 1) (+ x 1)) 1) (+.f64 x x))
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))
Calls

4 calls:

3.0ms
(+.f64 x #s(literal 1 binary64))
2.0ms
x
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
97.9%3x
97.9%2(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
97.9%2(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
97.9%3(+.f64 x #s(literal 1 binary64))
Compiler

Compiled 20 to 13 computations (35% saved)

regimes6.0ms (0.2%)

Memory
5.9MiB live, 5.9MiB allocated
Accuracy

Total -28.2b remaining (-83.5%)

Threshold costs -28.2b (-83.5%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (- (* (+ x 1) (+ x 1)) 1) (+.f64 x x))
(-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x #s(literal 2 binary64)))
Outputs
#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
47.2%1x
47.2%1(+.f64 x #s(literal 1 binary64))
47.2%1(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
47.2%1(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
Compiler

Compiled 20 to 13 computations (35% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.000001881246993
28.32954456002699
Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify19.0ms (0.5%)

Memory
18.1MiB live, 18.1MiB allocated
Algorithm
1×egg-herbie
Rules
4×+-commutative-binary64-+.f64
2×1-exp-binary32-exp.f32
2×*-commutative-binary64-*.f64
2×1-exp-binary64-exp.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01760
12360
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 x x (+.f64 x x))
(*.f64 (+.f64 #s(literal 2 binary64) 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 x)) #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x)))
#s(approx (- (* (+ x 1) (+ x 1)) 1) (+.f64 x x))
Outputs
(fma.f64 x x (+.f64 x x))
(*.f64 (+.f64 #s(literal 2 binary64) 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 x)) #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x)))
(if (<=.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(approx (- (* (+ x 1) (+ x 1)) 1) (+.f64 x x)) #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x)))
#s(approx (- (* (+ x 1) (+ x 1)) 1) (+.f64 x x))

soundness589.0ms (14.6%)

Memory
-23.5MiB live, 101.6MiB 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
01669
02362
111060
088456
020148
158148
2115148
3290148
4561148
52376148
63744148
74603148
85228148
96074148
106411148
116675148
08086141
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
1×iter limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 79 to 45 computations (43% saved)

preprocess26.0ms (0.7%)

Memory
10.4MiB live, 41.5MiB allocated
Compiler

Compiled 84 to 38 computations (54.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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