Expanding a square

Time bar (total: 3.7s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
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)

sample786.0ms (21.5%)

Memory
22.6MiB live, 695.6MiB allocated
Samples
212.0ms2 360×1valid
171.0ms4 361×0valid
159.0ms1 535×2valid
Precisions
Click to see histograms. Total time spent on operations: 367.0ms
ival-add: 123.0ms (33.5% of total)
ival-mult: 89.0ms (24.3% of total)
ival-sub: 72.0ms (19.6% of total)
adjust: 69.0ms (18.8% of total)
ival-true: 6.0ms (1.6% of total)
exact: 5.0ms (1.4% of total)
ival-assert: 3.0ms (0.8% of total)
Bogosity

explain77.0ms (2.1%)

Memory
1.1MiB live, 101.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1140-0-(-.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))cancellation1140
Confusion
Predicted +Predicted -
+1140
-0142
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+11400
-00142
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0142
1114
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
12.0ms290×0valid
11.0ms88×2valid
11.0ms134×1valid
Compiler

Compiled 76 to 24 computations (68.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 6.0ms (31% of total)
ival-add: 5.0ms (25.8% of total)
adjust: 4.0ms (20.6% of total)
ival-sub: 4.0ms (20.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess384.0ms (10.5%)

Memory
3.9MiB live, 158.1MiB allocated
Algorithm
egg-herbie
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
iter limit
node limit
iter limit
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
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.8%
(-.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 (4.5%)

Memory
15.4MiB live, 109.1MiB allocated
Algorithm
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))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0521
0821
12319
25217
311517
448717
5166717
6414617
7594917
8729217
0816816
Stop Event
iter limit
node limit
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)

localize273.0ms (7.5%)

Memory
-26.6MiB live, 50.6MiB 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)))
accuracy26.329568585027253
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
Samples
7.0ms145×0valid
5.0ms67×1valid
5.0ms44×2valid
Compiler

Compiled 44 to 12 computations (72.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 3.0ms (27.9% of total)
ival-sub: 3.0ms (27.9% of total)
adjust: 2.0ms (18.6% of total)
ival-add: 2.0ms (18.6% 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
2.2MiB live, 2.2MiB allocated
Counts
3 → 11
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
(* 2 x)
(* x (+ 2 x))
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 x)))
(+ 1 x)
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
x
(* x (+ 1 (/ 1 x)))
Calls

3 calls:

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

simplify199.0ms (5.4%)

Memory
16.3MiB live, 108.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02043
15843
211543
329043
456043
5231543
6367743
7453143
8515943
9603443
10637143
11663943
0805540
Stop Event
iter limit
node limit
Counts
11 → 10
Calls
Call 1
Inputs
(* 2 x)
(* x (+ 2 x))
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 x)))
(+ 1 x)
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
x
(* x (+ 1 (/ 1 x)))
Outputs
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 x))
(*.f64 (+.f64 #s(literal 2 binary64) x) 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 (+.f64 #s(literal 2 binary64) x) x #s(literal 1 binary64))
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)

rewrite171.0ms (4.7%)

Memory
8.7MiB live, 127.5MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0519
0815
14815
237913
3633413
0823713
Stop Event
iter limit
node limit
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))))
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(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.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)))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))))) (*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) (fma.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.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))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.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))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.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))

eval81.0ms (2.2%)

Memory
-13.1MiB live, 91.2MiB allocated
Compiler

Compiled 14 353 to 1 676 computations (88.3% saved)

prune10.0ms (0.3%)

Memory
-2.2MiB live, 27.3MiB allocated
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New6884692
Fresh000
Picked101
Done000
Total6894693
Accuracy
100.0%
Counts
693 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
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)
56.8%
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))
46.2%
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x))
Compiler

Compiled 42 to 26 computations (38.1% saved)

simplify136.0ms (3.7%)

Memory
-22.5MiB live, 46.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
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 #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 #s(literal 2 binary64) x)
cost-diff0
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01466
01966
13862
26858
312558
449758
5168858
6418858
7600658
8736058
0814156
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#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 #s(literal 2 binary64) x) x)
(+.f64 #s(literal 2 binary64) x)
#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)
Outputs
#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 #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
(-.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)

localize34.0ms (0.9%)

Memory
14.3MiB live, 14.3MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy26.329568585027253
(-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy34.411169043982056
#s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64))
accuracy0
(+.f64 #s(literal 2 binary64) x)
accuracy0
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
accuracy0
(*.f64 x x)
accuracy27.62754603314889
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))
accuracy0
(*.f64 #s(literal 2 binary64) x)
accuracy34.44075008356525
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x))
Samples
10.0ms145×0valid
8.0ms67×1valid
8.0ms44×2valid
Compiler

Compiled 122 to 27 computations (77.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 6.0ms (39.5% of total)
adjust: 3.0ms (19.8% of total)
ival-add: 3.0ms (19.8% of total)
ival-sub: 2.0ms (13.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
1.8MiB live, 1.8MiB allocated
Counts
8 → 12
Calls
Call 1
Inputs
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#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)
(-.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))
Outputs
(* 2 x)
(* x (+ 2 x))
(pow x 2)
2
(+ 2 x)
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 x)))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
x
(* x (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
Calls

3 calls:

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

simplify225.0ms (6.2%)

Memory
-8.1MiB live, 49.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01844
15444
211844
329044
455244
5206044
6333044
7430944
8495844
9580544
10614244
11640744
12730344
0814241
Stop Event
iter limit
node limit
Counts
12 → 11
Calls
Call 1
Inputs
(* 2 x)
(* x (+ 2 x))
(pow x 2)
2
(+ 2 x)
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 x)))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
x
(* x (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
Outputs
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 x))
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
(pow x 2)
(*.f64 x x)
2
#s(literal 2 binary64)
(+ 2 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 (+.f64 #s(literal 2 binary64) x) x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
x
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) x)
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 1 binary64))

rewrite318.0ms (8.7%)

Memory
15.1MiB live, 87.8MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01460
01952
18352
261148
0855748
Stop Event
iter limit
node limit
iter limit
Counts
8 → 643
Calls
Call 1
Inputs
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#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)
(-.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))
Outputs
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x))
(*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x))
(*.f64 x #s(literal 2 binary64))
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x)) x) (-.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 #s(literal 2 binary64) x) x)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x)) x) (-.f64 #s(literal 4 binary64) (*.f64 x x))) (+.f64 #s(literal 2 binary64) x))
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) x) (-.f64 #s(literal 16 binary64) (pow.f64 (*.f64 x (-.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 4 binary64) (*.f64 x (-.f64 x #s(literal 2 binary64)))))
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) x) (+.f64 #s(literal 64 binary64) (pow.f64 (*.f64 x (-.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 x (-.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 x (-.f64 x #s(literal 2 binary64))) #s(literal 4 binary64)))))
(*.f64 (/.f64 (*.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x x))) (-.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 #s(literal 2 binary64) x) x)))
(*.f64 (/.f64 (*.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x x))) (-.f64 #s(literal 4 binary64) (*.f64 x x))) (+.f64 #s(literal 2 binary64) x))
(*.f64 (/.f64 (fma.f64 #s(literal 8 binary64) x (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 16 binary64) (pow.f64 (*.f64 x (-.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 4 binary64) (*.f64 x (-.f64 x #s(literal 2 binary64)))))
(*.f64 (/.f64 (fma.f64 #s(literal 8 binary64) x (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal 64 binary64) (pow.f64 (*.f64 x (-.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 x (-.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 x (-.f64 x #s(literal 2 binary64))) #s(literal 4 binary64)))))
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) #s(literal 4 binary64))) (-.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 (log1p.f64 x) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) #s(literal 4 binary64))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) #s(literal 1 binary64)) (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 (+.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 (log1p.f64 x) #s(literal 4 binary64))) (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 (+.f64 #s(literal 1 binary64) x) #s(literal 12 binary64)) (pow.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 8 binary64)) (*.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))))))
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 x) #s(literal 4 binary64))) (expm1.f64 (*.f64 (log1p.f64 x) #s(literal 4 binary64)))) (*.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 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x)) x) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) x) (pow.f64 (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 x (-.f64 #s(literal 4 binary64) (*.f64 x x))) (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 8 binary64) x (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) #s(literal -1 binary64)) (expm1.f64 (*.f64 (log1p.f64 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)) (expm1.f64 (*.f64 (log1p.f64 x) #s(literal 6 binary64))))
(*.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 x) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)))))
(*.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 x) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (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 #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) (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 4 binary64))) (pow.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)) x))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 x) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (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 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 (+.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)) x))
(*.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) x) #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 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) x) x)) #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)) #s(literal 2 binary64)) x))
(/.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 8 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 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 4 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 (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 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 12 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 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 18 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 12 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 6 binary64))))
(/.f64 (*.f64 (fma.f64 x x #s(literal -4 binary64)) x) (-.f64 x #s(literal 2 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1 binary64)) x) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (neg.f64 x)))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x))) x) (neg.f64 (-.f64 #s(literal 2 binary64) x)))
(/.f64 (*.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) x) (neg.f64 (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) x) 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)) #s(literal 2 binary64)) x))
(/.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 x (fma.f64 x x #s(literal -4 binary64))) (-.f64 x #s(literal 2 binary64)))
(/.f64 (*.f64 x (+.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)) (neg.f64 x)))
(/.f64 (*.f64 x (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 2 binary64) x)))
(/.f64 (*.f64 x (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 x (*.f64 (+.f64 #s(literal 2 binary64) x) x)) x)
(/.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 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 x x)))
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#s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64))

eval101.0ms (2.8%)

Memory
-11.7MiB live, 83.6MiB allocated
Compiler

Compiled 15 685 to 1 451 computations (90.7% saved)

prune10.0ms (0.3%)

Memory
-3.7MiB live, 27.2MiB allocated
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New6490649
Fresh000
Picked044
Done000
Total6494653
Accuracy
100.0%
Counts
653 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
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)
56.8%
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))
46.2%
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x))
Compiler

Compiled 93 to 44 computations (52.7% saved)

regimes9.0ms (0.2%)

Memory
9.2MiB live, 9.2MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x))
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
Outputs
(*.f64 (+.f64 #s(literal 2 binary64) 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
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)

regimes7.0ms (0.2%)

Memory
8.0MiB live, 8.0MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
(-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x))
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))
Outputs
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x))
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x))
Calls

4 calls:

2.0ms
x
2.0ms
(+.f64 x #s(literal 1 binary64))
1.0ms
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
1.0ms
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
98.3%3x
98.3%2(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
98.3%2(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
98.3%3(+.f64 x #s(literal 1 binary64))
Compiler

Compiled 20 to 13 computations (35% saved)

regimes6.0ms (0.2%)

Memory
-24.2MiB live, 7.3MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
(-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x))
Outputs
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x))
Calls

4 calls:

2.0ms
(+.f64 x #s(literal 1 binary64))
1.0ms
x
1.0ms
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
1.0ms
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
46.2%1x
46.2%1(+.f64 x #s(literal 1 binary64))
46.2%1(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
46.2%1(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
Compiler

Compiled 20 to 13 computations (35% saved)

regimes5.0ms (0.1%)

Memory
6.7MiB live, 6.7MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

4 calls:

1.0ms
x
1.0ms
(+.f64 x #s(literal 1 binary64))
1.0ms
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
1.0ms
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
3.5%1x
3.5%1(+.f64 x #s(literal 1 binary64))
3.5%1(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
3.5%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
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0000000000000004
33.29795177248311
Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify20.0ms (0.5%)

Memory
21.8MiB live, 21.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01865
12765
23165
33465
43765
54065
Stop Event
saturated
Calls
Call 1
Inputs
(*.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 #s(literal 2 binary64) x)) #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x)))
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x))
(-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64))
Outputs
(*.f64 (+.f64 #s(literal 2 binary64) x) x)
(*.f64 (+.f64 x #s(literal 2 binary64)) x)
(if (<=.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x)) #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x)))
(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 #s(literal 2 binary64))) #s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x x)))
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 #s(literal 2 binary64) x))
#s(approx (- (* (+ x 1) (+ x 1)) 1) (*.f64 x #s(literal 2 binary64)))
(-.f64 #s(approx (* (+ x 1) (+ x 1)) #s(literal 1 binary64)) #s(literal 1 binary64))

soundness608.0ms (16.7%)

Memory
-21.4MiB live, 103.9MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0519
0815
14815
237913
3633413
0823713
02043
15843
211543
329043
456043
5231543
6367743
7453143
8515943
9603443
10637143
11663943
0805540
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 91 to 38 computations (58.2% saved)

preprocess21.0ms (0.6%)

Memory
16.3MiB live, 16.3MiB allocated
Compiler

Compiled 148 to 48 computations (67.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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