Commute and associate

Time bar (total: 3.9s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 13 to 10 computations (23.1% saved)

sample2.3s (58.6%)

Memory
27.0MiB live, 1 378.1MiB allocated; 1.0s collecting garbage
Samples
1.3s4 013×2valid
651.0ms4 237×1valid
0.0ms6×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.6s
adjust: 1.0s (63.8% of total)
ival-add: 501.0ms (30.7% of total)
ival-sub: 81.0ms (5% of total)
ival-true: 5.0ms (0.3% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

explain188.0ms (4.8%)

Memory
-10.2MiB live, 100.8MiB allocated; 16ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 (+.f64 x y) z)
00-0-(+.f64 y z)
00-0-y
00-0-(-.f64 (+.f64 (+.f64 x y) z) (+.f64 x (+.f64 y z)))
00-0-(+.f64 x y)
00-0-(+.f64 x (+.f64 y z))
00-0-z
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
61.0ms284×2valid
31.0ms228×1valid
Compiler

Compiled 75 to 28 computations (62.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
adjust: 40.0ms (60% of total)
ival-add: 21.0ms (31.5% of total)
ival-sub: 5.0ms (7.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess185.0ms (4.7%)

Memory
22.8MiB live, 69.7MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036117
1869
23139
311609
447379
556669
672349
0811
01311
1231
2661
32481
49411
512691
622491
735361
866781
081061
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(-.f64 (+.f64 (+.f64 x y) z) (+.f64 x (+.f64 y z)))
Outputs
(-.f64 (+.f64 (+.f64 x y) z) (+.f64 x (+.f64 y z)))
#s(literal 0 binary64)
Symmetry

(abs z)

(abs y)

(abs x)

(negabs z)

(negabs y)

(negabs x)

(sort x y z)

Compiler

Compiled 11 to 8 computations (27.3% saved)

eval0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(-.f64 (+.f64 (+.f64 x y) z) (+.f64 x (+.f64 y z)))
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify155.0ms (4%)

Memory
17.2MiB live, 63.9MiB allocated; 3ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x (+.f64 y z))
cost-diff0
(+.f64 x y)
cost-diff0
(+.f64 (+.f64 x y) z)
cost-diff10
(-.f64 (+.f64 (+.f64 x y) z) (+.f64 x (+.f64 y z)))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0830
01330
12320
26620
324820
494120
5126920
6224920
7353620
8667820
0810620
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(-.f64 (+.f64 (+.f64 x y) z) (+.f64 x (+.f64 y z)))
(+.f64 (+.f64 x y) z)
(+.f64 x y)
x
y
z
(+.f64 x (+.f64 y z))
(+.f64 y z)
Outputs
(-.f64 (+.f64 (+.f64 x y) z) (+.f64 x (+.f64 y z)))
#s(literal 0 binary64)
(+.f64 (+.f64 x y) z)
(+.f64 (+.f64 z y) x)
(+.f64 x y)
(+.f64 y x)
x
y
z
(+.f64 x (+.f64 y z))
(+.f64 (+.f64 z y) x)
(+.f64 y z)
(+.f64 z y)

localize105.0ms (2.7%)

Memory
-35.1MiB live, 24.7MiB allocated; 14ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 y z)
accuracy0.0
(+.f64 x y)
accuracy0.0078125
(+.f64 (+.f64 x y) z)
accuracy0.0078125
(+.f64 x (+.f64 y z))
Samples
67.0ms114×1valid
30.0ms142×2valid
Compiler

Compiled 32 to 10 computations (68.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 84.0ms
ival-add: 49.0ms (58.3% of total)
adjust: 33.0ms (39.2% of total)
ival-sub: 2.0ms (2.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
4.0MiB live, 4.0MiB allocated; 0ms collecting garbage
Counts
5 → 41
Calls
Call 1
Inputs
(-.f64 (+.f64 (+.f64 x y) z) (+.f64 x (+.f64 y z)))
(+.f64 (+.f64 x y) z)
(+.f64 x y)
(+.f64 x (+.f64 y z))
(+.f64 y z)
Outputs
#s(approx (- (+ (+ x y) z) (+ x (+ y z))) #s(hole binary64 0))
#s(approx (+ (+ x y) z) #s(hole binary64 (+ y z)))
#s(approx (+ (+ x y) z) #s(hole binary64 (+ x (+ y z))))
#s(approx (+ x y) #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (+ x y)))
#s(approx (+ x (+ y z)) #s(hole binary64 (+ y z)))
#s(approx (+ x (+ y z)) #s(hole binary64 (+ x (+ y z))))
#s(approx (+ (+ x y) z) #s(hole binary64 x))
#s(approx (+ (+ x y) z) #s(hole binary64 (* x (+ 1 (+ (/ y x) (/ z x))))))
#s(approx (+ x y) #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (+ x (+ y z)) #s(hole binary64 x))
#s(approx (+ x (+ y z)) #s(hole binary64 (* x (+ 1 (+ (/ y x) (/ z x))))))
#s(approx (+ (+ x y) z) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (+ x (+ y z)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))))
#s(approx (+ (+ x y) z) #s(hole binary64 (+ x z)))
#s(approx (+ x (+ y z)) #s(hole binary64 (+ x z)))
#s(approx (+ y z) #s(hole binary64 z))
#s(approx (+ y z) #s(hole binary64 (+ y z)))
#s(approx (+ (+ x y) z) #s(hole binary64 y))
#s(approx (+ (+ x y) z) #s(hole binary64 (* y (+ 1 (+ (/ x y) (/ z y))))))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (+ x (+ y z)) #s(hole binary64 y))
#s(approx (+ x (+ y z)) #s(hole binary64 (* y (+ 1 (+ (/ x y) (/ z y))))))
#s(approx (+ y z) #s(hole binary64 y))
#s(approx (+ y z) #s(hole binary64 (* y (+ 1 (/ z y)))))
#s(approx (+ (+ x y) z) #s(hole binary64 (* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
#s(approx (+ x (+ y z)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))))
#s(approx (+ y z) #s(hole binary64 (* -1 (* y (- (* -1 (/ z y)) 1)))))
#s(approx (+ (+ x y) z) #s(hole binary64 (+ x y)))
#s(approx (+ x (+ y z)) #s(hole binary64 (+ x y)))
#s(approx (+ (+ x y) z) #s(hole binary64 z))
#s(approx (+ (+ x y) z) #s(hole binary64 (* z (+ 1 (+ (/ x z) (/ y z))))))
#s(approx (+ x (+ y z)) #s(hole binary64 z))
#s(approx (+ x (+ y z)) #s(hole binary64 (* z (+ 1 (+ (/ x z) (/ y z))))))
#s(approx (+ y z) #s(hole binary64 (* z (+ 1 (/ y z)))))
#s(approx (+ (+ x y) z) #s(hole binary64 (* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))))
#s(approx (+ x (+ y z)) #s(hole binary64 (* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))))
#s(approx (+ y z) #s(hole binary64 (* -1 (* z (- (* -1 (/ y z)) 1)))))
Calls

9 calls:

TimeVariablePointExpression
0.0ms
y
@-inf
((- (+ (+ x y) z) (+ x (+ y z))) (+ (+ x y) z) (+ x y) (+ x (+ y z)) (+ y z))
0.0ms
x
@inf
((- (+ (+ x y) z) (+ x (+ y z))) (+ (+ x y) z) (+ x y) (+ x (+ y z)) (+ y z))
0.0ms
y
@inf
((- (+ (+ x y) z) (+ x (+ y z))) (+ (+ x y) z) (+ x y) (+ x (+ y z)) (+ y z))
0.0ms
z
@-inf
((- (+ (+ x y) z) (+ x (+ y z))) (+ (+ x y) z) (+ x y) (+ x (+ y z)) (+ y z))
0.0ms
x
@-inf
((- (+ (+ x y) z) (+ x (+ y z))) (+ (+ x y) z) (+ x y) (+ x (+ y z)) (+ y z))

simplify105.0ms (2.7%)

Memory
-19.3MiB live, 73.8MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0107413
1231403
2567403
31648403
09024403
Stop Event
1×iter limit
1×node limit
Counts
41 → 41
Calls
Call 1
Inputs
#s(approx (- (+ (+ x y) z) (+ x (+ y z))) #s(hole binary64 0))
#s(approx (+ (+ x y) z) #s(hole binary64 (+ y z)))
#s(approx (+ (+ x y) z) #s(hole binary64 (+ x (+ y z))))
#s(approx (+ x y) #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (+ x y)))
#s(approx (+ x (+ y z)) #s(hole binary64 (+ y z)))
#s(approx (+ x (+ y z)) #s(hole binary64 (+ x (+ y z))))
#s(approx (+ (+ x y) z) #s(hole binary64 x))
#s(approx (+ (+ x y) z) #s(hole binary64 (* x (+ 1 (+ (/ y x) (/ z x))))))
#s(approx (+ x y) #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (+ x (+ y z)) #s(hole binary64 x))
#s(approx (+ x (+ y z)) #s(hole binary64 (* x (+ 1 (+ (/ y x) (/ z x))))))
#s(approx (+ (+ x y) z) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (+ x (+ y z)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))))
#s(approx (+ (+ x y) z) #s(hole binary64 (+ x z)))
#s(approx (+ x (+ y z)) #s(hole binary64 (+ x z)))
#s(approx (+ y z) #s(hole binary64 z))
#s(approx (+ y z) #s(hole binary64 (+ y z)))
#s(approx (+ (+ x y) z) #s(hole binary64 y))
#s(approx (+ (+ x y) z) #s(hole binary64 (* y (+ 1 (+ (/ x y) (/ z y))))))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (+ x (+ y z)) #s(hole binary64 y))
#s(approx (+ x (+ y z)) #s(hole binary64 (* y (+ 1 (+ (/ x y) (/ z y))))))
#s(approx (+ y z) #s(hole binary64 y))
#s(approx (+ y z) #s(hole binary64 (* y (+ 1 (/ z y)))))
#s(approx (+ (+ x y) z) #s(hole binary64 (* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
#s(approx (+ x (+ y z)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))))
#s(approx (+ y z) #s(hole binary64 (* -1 (* y (- (* -1 (/ z y)) 1)))))
#s(approx (+ (+ x y) z) #s(hole binary64 (+ x y)))
#s(approx (+ x (+ y z)) #s(hole binary64 (+ x y)))
#s(approx (+ (+ x y) z) #s(hole binary64 z))
#s(approx (+ (+ x y) z) #s(hole binary64 (* z (+ 1 (+ (/ x z) (/ y z))))))
#s(approx (+ x (+ y z)) #s(hole binary64 z))
#s(approx (+ x (+ y z)) #s(hole binary64 (* z (+ 1 (+ (/ x z) (/ y z))))))
#s(approx (+ y z) #s(hole binary64 (* z (+ 1 (/ y z)))))
#s(approx (+ (+ x y) z) #s(hole binary64 (* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))))
#s(approx (+ x (+ y z)) #s(hole binary64 (* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))))
#s(approx (+ y z) #s(hole binary64 (* -1 (* z (- (* -1 (/ y z)) 1)))))
Outputs
#s(approx (- (+ (+ x y) z) (+ x (+ y z))) #s(hole binary64 0))
#s(approx (- (+ (+ x y) z) (+ x (+ y z))) #s(literal 0 binary64))
#s(approx (+ (+ x y) z) #s(hole binary64 (+ y z)))
#s(approx (+ x (+ y z)) (+.f64 z y))
#s(approx (+ (+ x y) z) #s(hole binary64 (+ x (+ y z))))
#s(approx (+ x (+ y z)) (+.f64 (+.f64 z y) x))
#s(approx (+ x y) #s(hole binary64 y))
#s(approx (+ x y) y)
#s(approx (+ x y) #s(hole binary64 (+ x y)))
#s(approx (+ x y) (+.f64 y x))
#s(approx (+ x (+ y z)) #s(hole binary64 (+ y z)))
#s(approx (+ x (+ y z)) (+.f64 z y))
#s(approx (+ x (+ y z)) #s(hole binary64 (+ x (+ y z))))
#s(approx (+ x (+ y z)) (+.f64 (+.f64 z y) x))
#s(approx (+ (+ x y) z) #s(hole binary64 x))
#s(approx (+ x (+ y z)) x)
#s(approx (+ (+ x y) z) #s(hole binary64 (* x (+ 1 (+ (/ y x) (/ z x))))))
#s(approx (+ x (+ y z)) (+.f64 (+.f64 z y) x))
#s(approx (+ x y) #s(hole binary64 x))
#s(approx (+ x y) x)
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (+ x y) (+.f64 y x))
#s(approx (+ x (+ y z)) #s(hole binary64 x))
#s(approx (+ x (+ y z)) x)
#s(approx (+ x (+ y z)) #s(hole binary64 (* x (+ 1 (+ (/ y x) (/ z x))))))
#s(approx (+ x (+ y z)) (+.f64 (+.f64 z y) x))
#s(approx (+ (+ x y) z) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))))
#s(approx (+ x (+ y z)) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 z y) x) #s(literal -1 binary64))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (+ x y) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64))))
#s(approx (+ x (+ y z)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))))
#s(approx (+ x (+ y z)) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 z y) x) #s(literal -1 binary64))))
#s(approx (+ (+ x y) z) #s(hole binary64 (+ x z)))
#s(approx (+ x (+ y z)) (+.f64 z x))
#s(approx (+ x (+ y z)) #s(hole binary64 (+ x z)))
#s(approx (+ x (+ y z)) (+.f64 z x))
#s(approx (+ y z) #s(hole binary64 z))
#s(approx (+ y z) z)
#s(approx (+ y z) #s(hole binary64 (+ y z)))
#s(approx (+ y z) (+.f64 z y))
#s(approx (+ (+ x y) z) #s(hole binary64 y))
#s(approx (+ x (+ y z)) y)
#s(approx (+ (+ x y) z) #s(hole binary64 (* y (+ 1 (+ (/ x y) (/ z y))))))
#s(approx (+ x (+ y z)) (+.f64 (+.f64 z y) x))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (+ x y) (+.f64 y x))
#s(approx (+ x (+ y z)) #s(hole binary64 y))
#s(approx (+ x (+ y z)) y)
#s(approx (+ x (+ y z)) #s(hole binary64 (* y (+ 1 (+ (/ x y) (/ z y))))))
#s(approx (+ x (+ y z)) (+.f64 (+.f64 z y) x))
#s(approx (+ y z) #s(hole binary64 y))
#s(approx (+ y z) y)
#s(approx (+ y z) #s(hole binary64 (* y (+ 1 (/ z y)))))
#s(approx (+ y z) (+.f64 z y))
#s(approx (+ (+ x y) z) #s(hole binary64 (* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))))
#s(approx (+ x (+ y z)) (*.f64 (neg.f64 y) (fma.f64 (/.f64 (+.f64 z x) y) #s(literal -1 binary64) #s(literal -1 binary64))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
#s(approx (+ x y) (*.f64 (neg.f64 y) (fma.f64 (/.f64 x y) #s(literal -1 binary64) #s(literal -1 binary64))))
#s(approx (+ x (+ y z)) #s(hole binary64 (* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))))
#s(approx (+ x (+ y z)) (*.f64 (neg.f64 y) (fma.f64 (/.f64 (+.f64 z x) y) #s(literal -1 binary64) #s(literal -1 binary64))))
#s(approx (+ y z) #s(hole binary64 (* -1 (* y (- (* -1 (/ z y)) 1)))))
#s(approx (+ y z) (*.f64 (neg.f64 y) (fma.f64 (/.f64 z y) #s(literal -1 binary64) #s(literal -1 binary64))))
#s(approx (+ (+ x y) z) #s(hole binary64 (+ x y)))
#s(approx (+ x (+ y z)) (+.f64 y x))
#s(approx (+ x (+ y z)) #s(hole binary64 (+ x y)))
#s(approx (+ x (+ y z)) (+.f64 y x))
#s(approx (+ (+ x y) z) #s(hole binary64 z))
#s(approx (+ x (+ y z)) z)
#s(approx (+ (+ x y) z) #s(hole binary64 (* z (+ 1 (+ (/ x z) (/ y z))))))
#s(approx (+ x (+ y z)) (+.f64 (+.f64 z y) x))
#s(approx (+ x (+ y z)) #s(hole binary64 z))
#s(approx (+ x (+ y z)) z)
#s(approx (+ x (+ y z)) #s(hole binary64 (* z (+ 1 (+ (/ x z) (/ y z))))))
#s(approx (+ x (+ y z)) (+.f64 (+.f64 z y) x))
#s(approx (+ y z) #s(hole binary64 (* z (+ 1 (/ y z)))))
#s(approx (+ y z) (+.f64 z y))
#s(approx (+ (+ x y) z) #s(hole binary64 (* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))))
#s(approx (+ x (+ y z)) (*.f64 (neg.f64 z) (fma.f64 (/.f64 (+.f64 y x) z) #s(literal -1 binary64) #s(literal -1 binary64))))
#s(approx (+ x (+ y z)) #s(hole binary64 (* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))))
#s(approx (+ x (+ y z)) (*.f64 (neg.f64 z) (fma.f64 (/.f64 (+.f64 y x) z) #s(literal -1 binary64) #s(literal -1 binary64))))
#s(approx (+ y z) #s(hole binary64 (* -1 (* z (- (* -1 (/ y z)) 1)))))
#s(approx (+ y z) (*.f64 (neg.f64 z) (fma.f64 (/.f64 y z) #s(literal -1 binary64) #s(literal -1 binary64))))

rewrite158.0ms (4%)

Memory
38.5MiB live, 84.0MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0827
01327
18317
290117
0879217
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 167
Calls
Call 1
Inputs
(-.f64 (+.f64 (+.f64 x y) z) (+.f64 x (+.f64 y z)))
(+.f64 (+.f64 x y) z)
(+.f64 x y)
(+.f64 x (+.f64 y z))
(+.f64 y z)
Outputs
#s(literal 0 binary64)
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 (-.f64 x y) z)) (/.f64 (*.f64 x x) (-.f64 (-.f64 x y) z))) (*.f64 (/.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (-.f64 (-.f64 x y) z)) (/.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (-.f64 (-.f64 x y) z)))) (+.f64 (/.f64 (*.f64 x x) (-.f64 (-.f64 x y) z)) (/.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (-.f64 (-.f64 x y) z))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 (+.f64 y x) z)) (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 (+.f64 y x) z))) (*.f64 (/.f64 (*.f64 z z) (-.f64 (+.f64 y x) z)) (/.f64 (*.f64 z z) (-.f64 (+.f64 y x) z)))) (+.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 (+.f64 y x) z)) (/.f64 (*.f64 z z) (-.f64 (+.f64 y x) z))))
(/.f64 (-.f64 (*.f64 (+.f64 z x) (+.f64 z x)) (*.f64 y y)) (-.f64 (+.f64 z x) y))
(/.f64 (-.f64 (*.f64 (+.f64 x z) (+.f64 x z)) (*.f64 y y)) (-.f64 (+.f64 x z) y))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z y) (-.f64 (+.f64 z y) x) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z y) (-.f64 (+.f64 z y) x) (*.f64 x x)))) (*.f64 (/.f64 (pow.f64 (+.f64 z y) #s(literal 3 binary64)) (fma.f64 (+.f64 z y) (-.f64 (+.f64 z y) x) (*.f64 x x))) (/.f64 (pow.f64 (+.f64 z y) #s(literal 3 binary64)) (fma.f64 (+.f64 z y) (-.f64 (+.f64 z y) x) (*.f64 x x))))) (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z y) (-.f64 (+.f64 z y) x) (*.f64 x x))) (/.f64 (pow.f64 (+.f64 z y) #s(literal 3 binary64)) (fma.f64 (+.f64 z y) (-.f64 (+.f64 z y) x) (*.f64 x x)))))
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(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z z (fma.f64 y y (*.f64 (neg.f64 z) y)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (fma.f64 y y (*.f64 (neg.f64 z) y)))))
(+.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z y) (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (-.f64 z y) (*.f64 y y))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (-.f64 z y) (*.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z y) (*.f64 y y))))
(+.f64 (/.f64 (*.f64 y y) (-.f64 y z)) (/.f64 (*.f64 (neg.f64 z) z) (-.f64 y z)))
(+.f64 z y)
(+.f64 y z)

eval24.0ms (0.6%)

Memory
-42.7MiB live, 10.3MiB allocated; 3ms collecting garbage
Compiler

Compiled 4 189 to 587 computations (86% saved)

prune2.0ms (0.1%)

Memory
5.0MiB live, 5.0MiB allocated; 0ms collecting garbage
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New1281129
Fresh000
Picked101
Done000
Total1291130
Accuracy
100.0%
Counts
130 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
#s(approx (- (+ (+ x y) z) (+ x (+ y z))) #s(literal 0 binary64))
Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify142.0ms (3.6%)

Memory
24.4MiB live, 69.2MiB allocated; 6ms collecting garbage
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (- (+ (+ x y) z) (+ x (+ y z))) #s(literal 0 binary64))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01014
01014
1194
2624
32484
49424
512694
622274
735154
866574
080854
Stop Event
1×iter limit
1×node limit
1×saturated
Calls
Call 1
Inputs
#s(approx (- (+ (+ x y) z) (+ x (+ y z))) #s(literal 0 binary64))
#s(literal 0 binary64)
Outputs
#s(approx (- (+ (+ x y) z) (+ x (+ y z))) #s(literal 0 binary64))
#s(literal 0 binary64)

localize49.0ms (1.3%)

Memory
4.7MiB live, 51.9MiB allocated; 1ms collecting garbage
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
accuracy0.0
#s(approx (- (+ (+ x y) z) (+ x (+ y z))) #s(literal 0 binary64))
Samples
29.0ms142×2valid
14.0ms114×1valid
Compiler

Compiled 14 to 11 computations (21.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
adjust: 20.0ms (59.8% of total)
ival-add: 10.0ms (29.9% of total)
ival-sub: 3.0ms (9% 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
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (+ (+ x y) z) (+ x (+ y z))) #s(literal 0 binary64))
Outputs
#s(approx (- (+ (+ x y) z) (+ x (+ y z))) #s(hole binary64 0))
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@0
((- (+ (+ x y) z) (+ x (+ y z))))
0.0ms
x
@inf
((- (+ (+ x y) z) (+ x (+ y z))))
0.0ms
x
@-inf
((- (+ (+ x y) z) (+ x (+ y z))))
0.0ms
y
@inf
((- (+ (+ x y) z) (+ x (+ y z))))
0.0ms
y
@-inf
((- (+ (+ x y) z) (+ x (+ y z))))

simplify169.0ms (4.3%)

Memory
6.8MiB live, 140.4MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01013
1193
2623
32483
49423
512693
622273
735153
866573
080853
Stop Event
1×iter limit
1×node limit
Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (+ (+ x y) z) (+ x (+ y z))) #s(hole binary64 0))
Outputs
#s(approx (- (+ (+ x y) z) (+ x (+ y z))) #s(hole binary64 0))
#s(approx (- (+ (+ x y) z) (+ x (+ y z))) #s(literal 0 binary64))

rewrite173.0ms (4.4%)

Memory
-21.8MiB live, 121.2MiB allocated; 40ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01013
01013
1803
29043
089663
Stop Event
1×iter limit
1×node limit
1×saturated
Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (+ (+ x y) z) (+ x (+ y z))) #s(literal 0 binary64))
Outputs
#s(approx (- (+ (+ x y) z) (+ x (+ y z))) #s(literal 0 binary64))

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 13 to 10 computations (23.1% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New101
Fresh000
Picked011
Done000
Total112
Accuracy
100.0%
Counts
2 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
#s(approx (- (+ (+ x y) z) (+ x (+ y z))) #s(literal 0 binary64))
Compiler

Compiled 37 to 25 computations (32.4% saved)

regimes4.0ms (0.1%)

Memory
8.5MiB live, 8.5MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (- (+ (+ x y) z) (+ x (+ y z))) #s(literal 0 binary64))
(-.f64 (+.f64 (+.f64 x y) z) (+.f64 x (+.f64 y z)))
Outputs
#s(approx (- (+ (+ x y) z) (+ x (+ y z))) #s(literal 0 binary64))
Calls

4 calls:

1.0ms
z
1.0ms
x
1.0ms
y
1.0ms
(-.f64 (+.f64 (+.f64 x y) z) (+.f64 x (+.f64 y z)))
Results
AccuracySegmentsBranch
100.0%1(-.f64 (+.f64 (+.f64 x y) z) (+.f64 x (+.f64 y z)))
100.0%1x
100.0%1y
100.0%1z
Compiler

Compiled 14 to 17 computations (-21.4% saved)

simplify53.0ms (1.4%)

Memory
-6.3MiB live, 42.2MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01013
1193
2623
32483
49523
512813
622513
737653
860743
Stop Event
1×node limit
Calls
Call 1
Inputs
#s(approx (- (+ (+ x y) z) (+ x (+ y z))) #s(literal 0 binary64))
Outputs
#s(approx (- (+ (+ x y) z) (+ x (+ y z))) #s(literal 0 binary64))

derivations34.0ms (0.9%)

Memory
11.0MiB live, 11.0MiB allocated; 0ms collecting garbage
Stop Event
1×done
Compiler

Compiled 13 to 10 computations (23.1% saved)

preprocess63.0ms (1.6%)

Memory
-19.5MiB live, 26.7MiB allocated; 5ms collecting garbage
Remove

(sort x y z)

(negabs x)

(negabs y)

(negabs z)

(abs x)

(abs y)

(abs z)

Compiler

Compiled 230 to 176 computations (23.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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