Expanding a square

Time bar (total: 5.2s)

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)

sample757.0ms (14.5%)

Memory
52.1MiB live, 698.3MiB allocated
Samples
204.0ms2 403×1valid
161.0ms1 624×2valid
134.0ms4 229×0valid
Precisions
Click to see histograms. Total time spent on operations: 341.0ms
adjust: 100.0ms (29.3% of total)
ival-mult: 91.0ms (26.7% of total)
ival-add: 74.0ms (21.7% of total)
ival-sub: 63.0ms (18.5% of total)
ival-true: 5.0ms (1.5% of total)
exact: 4.0ms (1.2% of total)
ival-assert: 3.0ms (0.9% of total)
Bogosity

preprocess534.0ms (10.2%)

Memory
-16.2MiB live, 360.1MiB 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 x (+.f64 x #s(literal 2 binary64)))

explain150.0ms (2.9%)

Memory
-10.6MiB live, 129.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1320-0-(-.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))cancellation1320
Confusion
Predicted +Predicted -
+1320
-0124
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+13200
-00124
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0124
1132
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
64.0ms258×0valid
15.0ms114×2valid
11.0ms140×1valid
Compiler

Compiled 66 to 24 computations (63.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 76.0ms
ival-add: 59.0ms (77.3% of total)
adjust: 7.0ms (9.2% of total)
ival-mult: 6.0ms (7.9% of total)
ival-sub: 4.0ms (5.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶52.7%
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
Compiler

Compiled 10 to 5 computations (50% saved)

simplify291.0ms (5.6%)

Memory
24.2MiB live, 368.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize27.0ms (0.5%)

Memory
-6.6MiB live, 23.9MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 x #s(literal 1 binary64))
✓accuracy100.0%
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
✓accuracy52.7%
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
Samples
9.0ms57×2valid
5.0ms70×1valid
5.0ms129×0valid
Compiler

Compiled 23 to 7 computations (69.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-add: 5.0ms (39.6% of total)
ival-mult: 3.0ms (23.7% of total)
adjust: 2.0ms (15.8% of total)
ival-sub: 2.0ms (15.8% 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
1.6MiB live, 1.6MiB allocated
Counts
3 → 36
Calls
Call 1
Inputs
#<alt (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))>
#<alt (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))>
#<alt (+.f64 x #s(literal 1 binary64))>
Outputs
#<alt (* 2 x)>
#<alt (* x (+ 2 x))>
#<alt (* x (+ 2 x))>
#<alt (* x (+ 2 x))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* 2 x))>
#<alt (+ 1 (* x (+ 2 x)))>
#<alt (+ 1 (* x (+ 2 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
Calls

9 calls:

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

simplify599.0ms (11.4%)

Memory
-0.2MiB live, 326.0MiB allocated
Algorithm
1×egg-herbie
Rules
23 092×lower-fma.f64
23 092×lower-fma.f32
5 874×lower-*.f64
5 874×lower-*.f32
2 612×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite390.0ms (7.4%)

Memory
-5.5MiB live, 214.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 388×lower-fma.f64
5 388×lower-fma.f32
3 116×lower-*.f32
3 114×lower-*.f64
2 562×lower-/.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0519
0815
14815
237913
3633413
0823713
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
3 → 600
Calls
Call 1
Inputs
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
Outputs
(+.f64 x (fma.f64 x x x))
(+.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal -1 binary64)))
(+.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(+.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) #s(literal 0 binary64))
(+.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) (*.f64 (+.f64 x #s(literal 2 binary64)) #s(literal 0 binary64)))
(+.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) (+.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 x x) (*.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) x))
(+.f64 (*.f64 x x) (+.f64 x x))
(+.f64 #s(literal -1 binary64) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))))
(+.f64 (fma.f64 x x x) x)
(+.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))))
(+.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))))
(+.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
(+.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (+.f64 x #s(literal 2 binary64))))
(+.f64 (+.f64 #s(literal -1 binary64) (fma.f64 x x x)) (+.f64 x #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)))
(-.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) (-.f64 (fma.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(expm1.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)))
(expm1.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 x)) #s(literal 1 binary64)))
(expm1.f64 (*.f64 (log.f64 (exp.f64 (log1p.f64 x))) #s(literal 2 binary64)))
(fma.f64 x x (*.f64 x #s(literal 2 binary64)))
(fma.f64 x x (*.f64 #s(literal 2 binary64) x))
(fma.f64 x x (+.f64 x x))
(fma.f64 x #s(literal 1 binary64) (fma.f64 x x x))
(fma.f64 x (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 2 binary64)) #s(literal 0 binary64)))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (+.f64 x #s(literal 2 binary64))))
(fma.f64 x (/.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64))) (fma.f64 x x x))
(fma.f64 x (/.f64 (+.f64 x #s(literal 2 binary64)) x) (*.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) x (fma.f64 x x x))
(fma.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)) (+.f64 (fma.f64 x x x) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 2 binary64))) (*.f64 (+.f64 x #s(literal 2 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) (+.f64 x #s(literal 2 binary64))))
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eval110.0ms (2.1%)

Memory
7.4MiB live, 106.6MiB allocated
Compiler

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

prune77.0ms (1.5%)

Memory
-18.4MiB live, 142.5MiB 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))
▶3.8%
(-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64))
▶100.0%
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
▶50.0%
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))
▶52.5%
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x))
Compiler

Compiled 56 to 30 computations (46.4% saved)

simplify333.0ms (6.4%)

Memory
21.8MiB live, 239.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 x #s(literal 2 binary64))
✓cost-diff0
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
✓cost-diff0
(*.f64 x x)
✓cost-diff0
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))
✓cost-diff0
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x))
✓cost-diff128
(*.f64 #s(literal 2 binary64) x)
✓cost-diff0
#s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64))
✓cost-diff0
(-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓cost-diff0
(+.f64 x x)
✓cost-diff64
(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 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))
(*.f64 x x)
x
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(+.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
Outputs
(fma.f64 x x (+.f64 x x))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
x
(+.f64 x x)
(-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal -1 binary64))
#s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x))
#s(approx (- (* (+ x 1) (+ x 1)) 1) (+.f64 x x))
(*.f64 #s(literal 2 binary64) x)
(+.f64 x x)
#s(literal 2 binary64)
x
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))
(*.f64 x x)
x
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(+.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)

localize48.0ms (0.9%)

Memory
-4.0MiB live, 58.3MiB allocated
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 x #s(literal 2 binary64))
✓accuracy100.0%
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
✓accuracy100.0%
(*.f64 x x)
✓accuracy50.0%
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) x)
✓accuracy52.5%
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x))
✓accuracy52.7%
(-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓accuracy52.7%
#s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64))
✓accuracy100.0%
(fma.f64 x x (+.f64 x x))
✓accuracy100.0%
(+.f64 x x)
Samples
12.0ms57×2valid
10.0ms129×0valid
10.0ms70×1valid
Compiler

Compiled 67 to 14 computations (79.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 7.0ms (36.4% of total)
adjust: 5.0ms (26% of total)
ival-add: 5.0ms (26% of total)
ival-sub: 2.0ms (10.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
4.5MiB live, 4.5MiB allocated
Counts
10 → 120
Calls
Call 1
Inputs
#<alt (fma.f64 x x (+.f64 x x))>
#<alt (+.f64 x x)>
#<alt (-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64))>
#<alt #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x))>
#<alt #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))>
#<alt (*.f64 x x)>
#<alt (*.f64 (+.f64 x #s(literal 2 binary64)) x)>
#<alt (+.f64 x #s(literal 2 binary64))>
Outputs
#<alt (* 2 x)>
#<alt (* x (+ 2 x))>
#<alt (* x (+ 2 x))>
#<alt (* x (+ 2 x))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* x (+ 2 x))>
#<alt (* x (+ 2 x))>
#<alt (* x (+ 2 x))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* 2 x))>
#<alt (+ 1 (* x (+ 2 x)))>
#<alt (+ 1 (* x (+ 2 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* x (+ 2 x))>
#<alt (* x (+ 2 x))>
#<alt (* x (+ 2 x))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 x))>
#<alt (* x (+ 2 x))>
#<alt (* x (+ 2 x))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 2 x)>
#<alt (* x (+ 2 x))>
#<alt (* x (+ 2 x))>
#<alt (* x (+ 2 x))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt 2>
#<alt (+ 2 x)>
#<alt (+ 2 x)>
#<alt (+ 2 x)>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
Calls

30 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(* 2 x)
0.0ms
x
@-inf
(* (+ x 2) x)
0.0ms
x
@0
(+ x x)
0.0ms
x
@inf
(+ (* x x) (+ x x))
0.0ms
x
@0
(+ (* x x) (+ x x))

simplify437.0ms (8.4%)

Memory
-6.8MiB live, 376.8MiB 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
3289472
4552472
52165472
63439472
74418472
85069472
95917472
106254472
116520472
127427472
08108465
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))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* x (+ 2 x))
(* x (+ 2 x))
(* x (+ 2 x))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 x)))
(+ 1 (* x (+ 2 x)))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* x (+ 2 x))
(* x (+ 2 x))
(* x (+ 2 x))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* 2 x)
(* x (+ 2 x))
(* x (+ 2 x))
(* x (+ 2 x))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 2 x)
(* x (+ 2 x))
(* x (+ 2 x))
(* x (+ 2 x))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
2
(+ 2 x)
(+ 2 x)
(+ 2 x)
x
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
x
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
Outputs
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* x (+ 2 x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* x (+ 2 x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* x (+ 2 x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* x (+ 2 x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 2 x)))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(+ 1 (* x (+ 2 x)))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* x (+ 2 x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* x (+ 2 x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* x (+ 2 x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* x (+ 2 x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* x (+ 2 x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* x (+ 2 x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
2
#s(literal 2 binary64)
(+ 2 x)
(+.f64 #s(literal 2 binary64) x)
(+ 2 x)
(+.f64 #s(literal 2 binary64) x)
(+ 2 x)
(+.f64 #s(literal 2 binary64) x)
x
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) x)
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) x)
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) x)
x
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) x)
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) x)
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) x)

rewrite201.0ms (3.8%)

Memory
-9.2MiB live, 25.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
694×lower-fma.f32
692×lower-fma.f64
342×lower-/.f64
342×lower-/.f32
332×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01669
02362
111060
090056
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))
(*.f64 #s(literal 2 binary64) x)
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x))
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))
(*.f64 x x)
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(+.f64 x #s(literal 2 binary64))
Outputs
(+.f64 x (fma.f64 x x x))
(+.f64 (+.f64 x x) (*.f64 x x))
(+.f64 (*.f64 x x) (+.f64 x x))
(+.f64 (fma.f64 x x x) x)
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (/.f64 (+.f64 x x) (*.f64 x (+.f64 x #s(literal -2 binary64)))))
(fma.f64 x x (+.f64 x x))
(fma.f64 x #s(literal 1 binary64) (fma.f64 x x x))
(fma.f64 x (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 x #s(literal 2 binary64) (*.f64 x x))
(fma.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x x)) (*.f64 x x))
(fma.f64 (+.f64 x x) (+.f64 x x) (*.f64 x x))
(fma.f64 #s(literal 1 binary64) x (fma.f64 x x x))
(fma.f64 (+.f64 x #s(literal 1 binary64)) x x)
(fma.f64 #s(literal 2 binary64) x (*.f64 x x))
(fma.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x x)) (*.f64 x x))
(fma.f64 (*.f64 x x) #s(literal 4 binary64) (*.f64 x x))
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) (*.f64 x x))
(fma.f64 (*.f64 x (*.f64 x (+.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (*.f64 x x))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (*.f64 x x))
(fma.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)) (*.f64 x x))
(fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 x x))
(fma.f64 (pow.f64 (+.f64 x x) #s(literal 3/2 binary64)) (pow.f64 (+.f64 x x) #s(literal 3/2 binary64)) (*.f64 x x))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (+.f64 x x))
(fma.f64 (*.f64 (+.f64 x x) x) #s(literal 2 binary64) (*.f64 x x))
(fma.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)) x (*.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (+.f64 x x)) (*.f64 x (*.f64 x (+.f64 x x)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (+.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 x #s(literal -2 binary64))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 x x))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (+.f64 x x)) (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (+.f64 x x)) (*.f64 x (*.f64 x (+.f64 x x)))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (+.f64 x x)) (+.f64 (+.f64 x x) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (+.f64 x x))))))
(/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 x x)) (*.f64 x (+.f64 x #s(literal -2 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (+.f64 x x))) (neg.f64 (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (+.f64 x x)) (*.f64 x (*.f64 x (+.f64 x x))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 x x))) (neg.f64 (*.f64 x (+.f64 x #s(literal -2 binary64)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 (fma.f64 x x x) (fma.f64 x x x) (-.f64 (*.f64 x x) (*.f64 (fma.f64 x x x) x))))
(/.f64 (-.f64 (+.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (+.f64 x x) (*.f64 x x)))
(/.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 x (fma.f64 x (*.f64 x x) #s(literal 8 binary64))) (-.f64 (fma.f64 x x #s(literal 4 binary64)) (+.f64 x x)))
(/.f64 (*.f64 x (fma.f64 x x #s(literal -4 binary64))) (+.f64 x #s(literal -2 binary64)))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 8 binary64)) x) (-.f64 (fma.f64 x x #s(literal 4 binary64)) (+.f64 x x)))
(/.f64 (*.f64 (fma.f64 x x #s(literal -4 binary64)) x) (+.f64 x #s(literal -2 binary64)))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (+.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (+.f64 x x)) (*.f64 x (*.f64 x (+.f64 x x))))))
(*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))))
(+.f64 x x)
(+.f64 (*.f64 (+.f64 x x) x) (*.f64 (+.f64 x x) x))
(+.f64 (*.f64 x (+.f64 x x)) (*.f64 x (+.f64 x x)))
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) #s(literal 3 binary64)))
(-.f64 (/.f64 (*.f64 x x) #s(literal 0 binary64)) (/.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 x (+.f64 x x) (*.f64 x (+.f64 x x)))
(fma.f64 x #s(literal 1 binary64) x)
(fma.f64 (+.f64 x x) x (*.f64 (+.f64 x x) x))
(fma.f64 #s(literal 1 binary64) x x)
(/.f64 #s(literal 1 binary64) (+.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (*.f64 x (+.f64 x x)))))
(/.f64 (*.f64 x (*.f64 x (+.f64 x x))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (pow.f64 (*.f64 x (*.f64 x (+.f64 x x))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 x x))) #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (+.f64 x x)))) (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 x (*.f64 x (+.f64 x x)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 x x))) (*.f64 x (*.f64 x (+.f64 x x)))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 (+.f64 x x) (*.f64 x (*.f64 x (+.f64 x x)))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 x x))) (+.f64 x x)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) (+.f64 x x)) #s(literal 0 binary64))
(pow.f64 (+.f64 x x) #s(literal 2 binary64))
(pow.f64 (+.f64 x x) #s(literal 3 binary64))
(*.f64 x #s(literal 2 binary64))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x x)))
(*.f64 (+.f64 x x) (+.f64 x x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x x)))
(*.f64 (*.f64 x x) #s(literal 4 binary64))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))
(*.f64 (*.f64 x (*.f64 x (+.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))
(*.f64 #s(literal 4 binary64) (*.f64 x x))
(*.f64 (pow.f64 (+.f64 x x) #s(literal 3/2 binary64)) (pow.f64 (+.f64 x x) #s(literal 3/2 binary64)))
(*.f64 (*.f64 (+.f64 x x) x) #s(literal 2 binary64))
(*.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)) x)
(+.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 (/.f64 (*.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) (*.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(approx (* (+ x 1) (+ x 1)) #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)) #s(approx (* (+ x 1) (+ x 1)) #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)) #s(literal 1 binary64)) #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (*.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) #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) #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(literal 1 binary64) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.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)) #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64))) (fma.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) (*.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 (+.f64 #s(literal 1 binary64) #s(approx (* (+ x 1) (+ x 1)) #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 (fma.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) (*.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 (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)) #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) (*.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)) (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 (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) #s(approx (* (+ x 1) (+ x 1)) #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 (neg.f64 (fma.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) (*.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 (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)) #s(approx (* (+ x 1) (+ x 1)) #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(literal 1 binary64) #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)))))
(*.f64 (fma.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) (*.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)) #s(literal 1 binary64)) #s(approx (* (+ x 1) (+ x 1)) #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(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))
(*.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 x x)
(+.f64 (*.f64 (+.f64 x x) x) (*.f64 (+.f64 x x) x))
(+.f64 (*.f64 x (+.f64 x x)) (*.f64 x (+.f64 x x)))
(exp.f64 (*.f64 (log.f64 (+.f64 x x)) #s(literal 3 binary64)))
(-.f64 (/.f64 (*.f64 x x) #s(literal 0 binary64)) (/.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 x (+.f64 x x) (*.f64 x (+.f64 x x)))
(fma.f64 x #s(literal 1 binary64) x)
(fma.f64 (+.f64 x x) x (*.f64 (+.f64 x x) x))
(fma.f64 #s(literal 1 binary64) x x)
(/.f64 #s(literal 1 binary64) (+.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (*.f64 x (+.f64 x x)))))
(/.f64 (*.f64 x (*.f64 x (+.f64 x x))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (pow.f64 (*.f64 x (*.f64 x (+.f64 x x))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 x x))) #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (+.f64 x x)))) (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 x (*.f64 x (+.f64 x x)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 x x))) (*.f64 x (*.f64 x (+.f64 x x)))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 (+.f64 x x) (*.f64 x (*.f64 x (+.f64 x x)))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 (*.f64 x (*.f64 x (+.f64 x x))) (+.f64 x x)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) (+.f64 x x)) #s(literal 0 binary64))
(pow.f64 (+.f64 x x) #s(literal 2 binary64))
(pow.f64 (+.f64 x x) #s(literal 3 binary64))
(*.f64 x #s(literal 2 binary64))
(*.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x x)))
(*.f64 (+.f64 x x) (+.f64 x x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x x)))
(*.f64 (*.f64 x x) #s(literal 4 binary64))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))
(*.f64 (*.f64 x (*.f64 x (+.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))
(*.f64 #s(literal 4 binary64) (*.f64 x x))
(*.f64 (pow.f64 (+.f64 x x) #s(literal 3/2 binary64)) (pow.f64 (+.f64 x x) #s(literal 3/2 binary64)))
(*.f64 (*.f64 (+.f64 x x) x) #s(literal 2 binary64))
(*.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)) x)
#s(approx (- (* (+ x 1) (+ x 1)) 1) (+.f64 x x))
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(+.f64 x (fma.f64 x x x))
(+.f64 (+.f64 x x) (*.f64 x x))
(+.f64 (*.f64 x x) (+.f64 x x))
(+.f64 (fma.f64 x x x) x)
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (/.f64 (+.f64 x x) (*.f64 x (+.f64 x #s(literal -2 binary64)))))
(fma.f64 x x (+.f64 x x))
(fma.f64 x #s(literal 1 binary64) (fma.f64 x x x))
(fma.f64 x (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 x #s(literal 2 binary64) (*.f64 x x))
(fma.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x x)) (*.f64 x x))
(fma.f64 (+.f64 x x) (+.f64 x x) (*.f64 x x))
(fma.f64 #s(literal 1 binary64) x (fma.f64 x x x))
(fma.f64 (+.f64 x #s(literal 1 binary64)) x x)
(fma.f64 #s(literal 2 binary64) x (*.f64 x x))
(fma.f64 #s(literal 2 binary64) (*.f64 x (+.f64 x x)) (*.f64 x x))
(fma.f64 (*.f64 x x) #s(literal 4 binary64) (*.f64 x x))
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) (*.f64 x x))
(fma.f64 (*.f64 x (*.f64 x (+.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (*.f64 x x))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (*.f64 x x))
(fma.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)) (*.f64 x x))
(fma.f64 #s(literal 4 binary64) (*.f64 x x) (*.f64 x x))
(fma.f64 (pow.f64 (+.f64 x x) #s(literal 3/2 binary64)) (pow.f64 (+.f64 x x) #s(literal 3/2 binary64)) (*.f64 x x))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (+.f64 x x))
(fma.f64 (*.f64 (+.f64 x x) x) #s(literal 2 binary64) (*.f64 x x))
(fma.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)) x (*.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (+.f64 x x)) (*.f64 x (*.f64 x (+.f64 x x)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (+.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 x #s(literal -2 binary64))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 x x))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (+.f64 x x)) (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (+.f64 x x)) (*.f64 x (*.f64 x (+.f64 x x)))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (+.f64 x x)) (+.f64 (+.f64 x x) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (+.f64 x x))))))
(/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 x x)) (*.f64 x (+.f64 x #s(literal -2 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (+.f64 x x))) (neg.f64 (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (+.f64 x x)) (*.f64 x (*.f64 x (+.f64 x x))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 x x))) (neg.f64 (*.f64 x (+.f64 x #s(literal -2 binary64)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 (fma.f64 x x x) (fma.f64 x x x) (-.f64 (*.f64 x x) (*.f64 (fma.f64 x x x) x))))
(/.f64 (-.f64 (+.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (+.f64 x x) (*.f64 x x)))
(/.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 x (fma.f64 x (*.f64 x x) #s(literal 8 binary64))) (-.f64 (fma.f64 x x #s(literal 4 binary64)) (+.f64 x x)))
(/.f64 (*.f64 x (fma.f64 x x #s(literal -4 binary64))) (+.f64 x #s(literal -2 binary64)))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 8 binary64)) x) (-.f64 (fma.f64 x x #s(literal 4 binary64)) (+.f64 x x)))
(/.f64 (*.f64 (fma.f64 x x #s(literal -4 binary64)) x) (+.f64 x #s(literal -2 binary64)))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (+.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (+.f64 x x)) (*.f64 x (*.f64 x (+.f64 x x))))))
(*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))))
(+.f64 x #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(+.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 2 binary64) x)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal -2 binary64))))
(fma.f64 x #s(literal 1 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) #s(literal 1 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))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 4 binary64)) (+.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -2 binary64)) (fma.f64 x x #s(literal -4 binary64))))
(/.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 0 binary64))) (+.f64 x #s(literal 0 binary64)))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 8 binary64)) (-.f64 (fma.f64 x x #s(literal 4 binary64)) (+.f64 x x)))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))))
(/.f64 (fma.f64 x x #s(literal -4 binary64)) (+.f64 x #s(literal -2 binary64)))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 8 binary64))) (neg.f64 (-.f64 (fma.f64 x x #s(literal 4 binary64)) (+.f64 x x))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -4 binary64))) (neg.f64 (+.f64 x #s(literal -2 binary64))))
(/.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 #s(literal 2 binary64) x))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 4 binary64)) (+.f64 x x))))
(*.f64 (fma.f64 x x #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -2 binary64))))

eval34.0ms (0.7%)

Memory
-4.1MiB live, 25.7MiB allocated
Compiler

Compiled 3 283 to 315 computations (90.4% saved)

prune20.0ms (0.4%)

Memory
0.5MiB live, 31.5MiB 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))
✓3.8%
(-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓100.0%
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
▶52.5%
#s(approx (- (* (+ x 1) (+ x 1)) 1) (+.f64 x x))
✓50.0%
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))
Compiler

Compiled 28 to 14 computations (50% saved)

simplify265.0ms (5.1%)

Memory
13.3MiB live, 252.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.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))
(+.f64 x x)
x

localize25.0ms (0.5%)

Memory
-21.6MiB live, 9.7MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 x x)
✓accuracy52.5%
#s(approx (- (* (+ x 1) (+ x 1)) 1) (+.f64 x x))
Samples
7.0ms57×2valid
6.0ms129×0valid
5.0ms70×1valid
Compiler

Compiled 15 to 8 computations (46.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
adjust: 3.0ms (26.9% of total)
ival-add: 3.0ms (26.9% of total)
ival-mult: 3.0ms (26.9% of total)
ival-sub: 2.0ms (18% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Counts
2 → 24
Calls
Call 1
Inputs
#<alt #s(approx (- (* (+ x 1) (+ x 1)) 1) (+.f64 x x))>
#<alt (+.f64 x x)>
Outputs
#<alt (* 2 x)>
#<alt (* x (+ 2 x))>
#<alt (* x (+ 2 x))>
#<alt (* x (+ 2 x))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
Calls

6 calls:

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

simplify197.0ms (3.8%)

Memory
25.4MiB live, 179.5MiB 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))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
Outputs
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* x (+ 2 x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* x (+ 2 x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)

rewrite42.0ms (0.8%)

Memory
-16.8MiB live, 22.7MiB allocated
Algorithm
1×batch-egg-rewrite
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 x x))
(+.f64 x x)
(-.f64 (/.f64 (*.f64 x x) #s(literal 0 binary64)) (/.f64 (*.f64 x x) #s(literal 0 binary64)))
(fma.f64 x #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x x)
(/.f64 #s(literal 1 binary64) (+.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))))
(/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))

eval3.0ms (0.1%)

Memory
3.1MiB live, 3.1MiB allocated
Compiler

Compiled 243 to 28 computations (88.5% saved)

prune4.0ms (0.1%)

Memory
4.3MiB live, 4.3MiB 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))
✓3.8%
(-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64))
✓100.0%
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
✓52.5%
#s(approx (- (* (+ x 1) (+ x 1)) 1) (+.f64 x x))
✓50.0%
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))
Compiler

Compiled 65 to 27 computations (58.5% saved)

regimes10.0ms (0.2%)

Memory
7.2MiB live, 7.2MiB 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 #s(literal 2 binary64) x))
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(fma.f64 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 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
2.0ms
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
100.0%1(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
100.0%1(+.f64 x #s(literal 1 binary64))
Compiler

Compiled 24 to 13 computations (45.8% saved)

regimes51.0ms (1%)

Memory
-24.9MiB live, 6.7MiB 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 #s(literal 2 binary64) x))
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
Outputs
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
Calls

4 calls:

44.0ms
(+.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
100.0%1x
100.0%1(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
100.0%1(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
100.0%1(+.f64 x #s(literal 1 binary64))
Compiler

Compiled 24 to 13 computations (45.8% saved)

regimes7.0ms (0.1%)

Memory
6.1MiB live, 6.1MiB 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 #s(literal 2 binary64) x))
#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:

2.0ms
x
2.0ms
(+.f64 x #s(literal 1 binary64))
2.0ms
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
2.0ms
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
97.7%3x
97.7%2(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
97.7%2(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
97.7%3(+.f64 x #s(literal 1 binary64))
Compiler

Compiled 24 to 13 computations (45.8% saved)

regimes6.0ms (0.1%)

Memory
5.7MiB live, 5.7MiB allocated
Accuracy

Total -31.4b remaining (-103.4%)

Threshold costs -31.4b (-103.4%)

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 #s(literal 2 binary64) x))
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
52.5%1x
52.5%1(+.f64 x #s(literal 1 binary64))
52.5%1(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
52.5%1(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
Compiler

Compiled 24 to 13 computations (45.8% saved)

bsearch0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.0000000323796183
684.9869620381049
Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify6.0ms (0.1%)

Memory
4.1MiB live, 4.1MiB allocated
Algorithm
1×egg-herbie
Rules
4×+-commutative_binary64
2×*-commutative_binary64
2×1-exp_binary64
2×1-exp_binary32
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 x #s(literal 2 binary64)) x)
(if (<=.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (- (* (+ x 1) (+ x 1)) 1) (+.f64 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 x #s(literal 2 binary64)) x)
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(if (<=.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (- (* (+ x 1) (+ x 1)) 1) (+.f64 x x)) #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x)))
#s(approx (- (* (+ x 1) (+ x 1)) 1) (+.f64 x x))

soundness573.0ms (10.9%)

Memory
-12.9MiB live, 118.6MiB 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
0519
0815
14815
237913
3633413
0823713
020148
158148
2115148
3287148
4561148
52333148
63677148
74526148
85154148
96026148
106363148
116633148
08055141
01669
02362
111060
090056
Stop Event
1×done
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 87 to 41 computations (52.9% saved)

preprocess29.0ms (0.6%)

Memory
7.4MiB live, 36.8MiB allocated
Compiler

Compiled 88 to 34 computations (61.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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