Commute and associate

Time bar (total: 4.3s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
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)

sample1.9s (43.8%)

Memory
22.5MiB live, 1 336.4MiB allocated
Samples
816.0ms4 289×1valid
745.0ms3 958×2valid
0.0ms9×0valid
Precisions
Click to see histograms. Total time spent on operations: 979.0ms
ival-add: 507.0ms (51.8% of total)
adjust: 375.0ms (38.3% of total)
ival-sub: 87.0ms (8.9% of total)
ival-true: 6.0ms (0.6% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain217.0ms (5%)

Memory
5.5MiB live, 193.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 (+.f64 x y) z)
00-0-(+.f64 y z)
00-0-y
0256(-8.342993830872738e+140 -2.0742647783679128e-22 -1.4109533196537183e+137)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
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (+.f64 (+.f64 x y) z) (+.f64 x (+.f64 y z)))cancellation2560
Confusion
Predicted +Predicted -
+00
-2560
Precision
0.0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-25600
Precision?
0.0
Recall?
0/0
Freqs
test
numberfreq
1256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-100
Precision?
0.0
Recall?
0/0
Samples
89.0ms280×2valid
34.0ms232×1valid
Compiler

Compiled 135 to 44 computations (67.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 90.0ms
ival-add: 61.0ms (68% of total)
adjust: 22.0ms (24.5% of total)
ival-sub: 6.0ms (6.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess410.0ms (9.5%)

Memory
17.5MiB live, 119.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036117
11229
25259
316609
425109
527669
627779
727859
827859
927859
1027859
1127859
0811
01311
1261
2901
33611
411621
518081
638801
750441
858721
963261
1063601
1163641
1264821
1364911
1464921
1564921
1664921
1773411
1874931
1976451
2077591
2177971
2277971
081811
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
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
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)

simplify299.0ms (6.9%)

Memory
3.8MiB live, 59.7MiB allocated
Algorithm
1×egg-herbie
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-diff960
(-.f64 (+.f64 (+.f64 x y) z) (+.f64 x (+.f64 y z)))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0830
01330
12620
29020
336120
4116220
5180820
6388020
7504420
8587220
9632620
10636020
11636420
12648220
13649120
14649220
15649220
16649220
17734120
18749320
19764520
20775920
21779720
22779720
0818120
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)

localize96.0ms (2.2%)

Memory
-9.7MiB live, 65.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 (+.f64 x y) z)
accuracy0
(+.f64 y z)
accuracy0
(+.f64 x (+.f64 y z))
accuracy0
(+.f64 x y)
Samples
60.0ms116×1valid
28.0ms140×2valid
Compiler

Compiled 62 to 18 computations (71% saved)

Precisions
Click to see histograms. Total time spent on operations: 75.0ms
ival-add: 61.0ms (81.7% of total)
adjust: 11.0ms (14.7% of total)
ival-sub: 3.0ms (4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
3.3MiB live, 3.3MiB allocated
Counts
5 → 22
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
0
(+ y z)
(+ x (+ y z))
y
(+ x y)
x
(* x (+ 1 (+ (/ y x) (/ z x))))
(* x (+ 1 (/ y x)))
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+ x z)
z
(* y (+ 1 (+ (/ x y) (/ z y))))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ z y)))
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* z (+ 1 (+ (/ x z) (/ y z))))
(* z (+ 1 (/ y z)))
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
(* -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
x
@-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))

simplify175.0ms (4.1%)

Memory
-14.3MiB live, 111.3MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06472
118872
247572
3144372
4351372
5440372
6490872
7503772
8505572
9505572
0890772
Stop Event
1×iter limit
1×node limit
Counts
22 → 19
Calls
Call 1
Inputs
0
(+ y z)
(+ x (+ y z))
y
(+ x y)
x
(* x (+ 1 (+ (/ y x) (/ z x))))
(* x (+ 1 (/ y x)))
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+ x z)
z
(* y (+ 1 (+ (/ x y) (/ z y))))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ z y)))
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* z (+ 1 (+ (/ x z) (/ y z))))
(* z (+ 1 (/ y z)))
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
(* -1 (* z (- (* -1 (/ y z)) 1)))
Outputs
0
#s(literal 0 binary64)
(+ y z)
(+.f64 z y)
(+ x (+ y z))
(+.f64 (+.f64 z x) y)
y
(+ x y)
(+.f64 y x)
x
(* x (+ 1 (+ (/ y x) (/ z x))))
(+.f64 (+.f64 z x) y)
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ (+ y z) x)) 1)))
(+.f64 (+.f64 z x) y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(+ x z)
(+.f64 z x)
z
(* y (+ 1 (+ (/ x y) (/ z y))))
(+.f64 (+.f64 z x) y)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ z y)))
(+.f64 z y)
(* -1 (* y (- (* -1 (/ (+ x z) y)) 1)))
(+.f64 (+.f64 z x) y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ z y)) 1)))
(+.f64 z y)
(* z (+ 1 (+ (/ x z) (/ y z))))
(+.f64 (+.f64 z x) y)
(* z (+ 1 (/ y z)))
(+.f64 z y)
(* -1 (* z (- (* -1 (/ (+ x y) z)) 1)))
(+.f64 (+.f64 z x) y)
(* -1 (* z (- (* -1 (/ y z)) 1)))
(+.f64 z y)

rewrite159.0ms (3.7%)

Memory
19.8MiB live, 48.7MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0827
01327
18617
296417
0844617
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 209
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 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 z y) x)))
(*.f64 (-.f64 (*.f64 z z) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 z (+.f64 y x))))
(*.f64 #s(literal 1 binary64) (+.f64 (+.f64 z y) x))
(*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 z y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (-.f64 x y) z))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (+.f64 y x) z))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (+.f64 z y) (-.f64 (+.f64 z y) x) (*.f64 x x)))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z (-.f64 z (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 z y) #s(literal 2 binary64))) (pow.f64 (-.f64 (-.f64 x y) z) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 z z)) (pow.f64 (-.f64 (+.f64 y x) z) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (+.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (+.f64 z y) x)))))
(*.f64 (+.f64 (pow.f64 (+.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 z y) (-.f64 (+.f64 z y) x) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 z (+.f64 y x))))))
(*.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (fma.f64 z (-.f64 z (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 z y) x)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 (-.f64 x y) z)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (-.f64 (-.f64 x y) z)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (-.f64 x y) z)) (/.f64 (*.f64 x x) (-.f64 (-.f64 x y) z)) (fma.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 (pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 (+.f64 y x) z)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z z) (-.f64 (+.f64 y x) z)) #s(literal 3 binary64))) (fma.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)) (fma.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 (pow.f64 (+.f64 z x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (+.f64 z x) (+.f64 z x) (-.f64 (*.f64 y y) (*.f64 (+.f64 z x) y))))
(/.f64 (+.f64 (pow.f64 (+.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (+.f64 x z) (+.f64 x z) (-.f64 (*.f64 y y) (*.f64 (+.f64 x z) y))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 z x) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 (+.f64 z x) (+.f64 z x)) (*.f64 y (+.f64 z x)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 x z) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 (+.f64 x z) (+.f64 x z)) (*.f64 y (+.f64 x z)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (+.f64 z y) x)))
(/.f64 (neg.f64 (-.f64 (*.f64 z z) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (neg.f64 (-.f64 z (+.f64 y x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 z y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (-.f64 x y) z))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 z z)))) (neg.f64 (neg.f64 (-.f64 (+.f64 y x) z))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 z y) (-.f64 (+.f64 z y) x) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 z (-.f64 z (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 (-.f64 x y) z)) (*.f64 (-.f64 (-.f64 x y) z) (pow.f64 (+.f64 z y) #s(literal 2 binary64)))) (pow.f64 (-.f64 (-.f64 x y) z) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 (+.f64 y x) z)) (*.f64 (-.f64 (+.f64 y x) z) (*.f64 z z))) (pow.f64 (-.f64 (+.f64 y x) z) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (+.f64 z y) x))
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (-.f64 z (+.f64 y x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 z y) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 z y) x) (-.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (+.f64 y x)) (-.f64 (*.f64 z z) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 z y) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (+.f64 z y) x))) (+.f64 (pow.f64 (+.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 z (+.f64 y x)))) (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 z y) x)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 z y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (-.f64 x y) z)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 z z))) (neg.f64 (-.f64 (+.f64 y x) z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (+.f64 z y) x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 z y) (-.f64 (+.f64 z y) x) (*.f64 x x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z z (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 z (+.f64 y x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (-.f64 z (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 z y) #s(literal 2 binary64))) (-.f64 (-.f64 x y) z))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 z z)) (-.f64 (+.f64 y x) z))
(/.f64 (+.f64 (pow.f64 (+.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (+.f64 z y) x))))
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(-.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 (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 z x) y)
(+.f64 (+.f64 x z) y)
(+.f64 (+.f64 z y) x)
(+.f64 z (+.f64 y x))
(+.f64 (+.f64 y x) z)
(+.f64 y (+.f64 z x))
(+.f64 y (+.f64 x z))
(+.f64 x (+.f64 z y))
(*.f64 (-.f64 (*.f64 z z) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))
(*.f64 #s(literal 1 binary64) (+.f64 z y))
(*.f64 (neg.f64 (*.f64 (+.f64 z y) (-.f64 y z))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 y z))))
(*.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z (-.f64 z y) (*.f64 y y)))))
(*.f64 (*.f64 (+.f64 z y) (-.f64 y z)) (pow.f64 (-.f64 y z) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 (*.f64 y y) (*.f64 z y)))))
(*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 z (-.f64 z y) (*.f64 y y)) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 z y)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (-.f64 y z)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z z) (-.f64 y z)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (-.f64 y z)) (/.f64 (*.f64 y y) (-.f64 y z)) (fma.f64 (/.f64 (*.f64 z z) (-.f64 y z)) (/.f64 (*.f64 z z) (-.f64 y z)) (*.f64 (/.f64 (*.f64 y y) (-.f64 y z)) (/.f64 (*.f64 z z) (-.f64 y z))))))
(/.f64 (neg.f64 (-.f64 (*.f64 z z) (*.f64 y y))) (neg.f64 (-.f64 z y)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 z y) (-.f64 y z)))) (neg.f64 (neg.f64 (-.f64 y z))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 z (-.f64 z y) (*.f64 y y)))))
(/.f64 (-.f64 (*.f64 (*.f64 y y) (-.f64 y z)) (*.f64 (-.f64 y z) (*.f64 z z))) (pow.f64 (-.f64 y z) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 z z) (*.f64 y y)) (-.f64 z y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 z y))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 z y) (-.f64 (*.f64 z z) (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (-.f64 (*.f64 y y) (*.f64 z y))) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))
(/.f64 (neg.f64 (*.f64 (+.f64 z y) (-.f64 y z))) (neg.f64 (-.f64 y z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 z z (-.f64 (*.f64 y y) (*.f64 z y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (-.f64 z y) (*.f64 y y))))
(/.f64 (*.f64 (+.f64 z y) (-.f64 y z)) (-.f64 y z))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 z z (-.f64 (*.f64 y y) (*.f64 z y))))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 z (-.f64 z y) (*.f64 y y)))
(-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) (/.f64 (*.f64 y y) (-.f64 z y)))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y z)) (/.f64 (*.f64 z z) (-.f64 y z)))
(+.f64 z y)
(+.f64 y z)

eval70.0ms (1.6%)

Memory
-19.1MiB live, 11.7MiB allocated
Compiler

Compiled 3 385 to 555 computations (83.6% saved)

prune2.0ms (0%)

Memory
5.2MiB live, 5.2MiB allocated
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New1391140
Fresh000
Picked101
Done000
Total1401141
Accuracy
100.0%
Counts
141 → 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)

simplify346.0ms (8%)

Memory
-1.9MiB live, 36.1MiB allocated
Algorithm
1×egg-herbie
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
1224
2864
33534
411764
518194
638814
750154
858424
962964
1063304
1163344
1264524
1364614
1464624
1564624
1664624
1773114
1874634
1976154
2077294
2177674
2277674
081514
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)

localize42.0ms (1%)

Memory
13.9MiB live, 44.3MiB allocated
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
accuracy0
#s(approx (- (+ (+ x y) z) (+ x (+ y z))) #s(literal 0 binary64))
Samples
24.0ms140×2valid
12.0ms116×1valid
Compiler

Compiled 28 to 21 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-add: 12.0ms (45.8% of total)
adjust: 11.0ms (42% of total)
ival-sub: 3.0ms (11.5% 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
0.4MiB live, 0.4MiB allocated
Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (+ (+ x y) z) (+ x (+ y z))) #s(literal 0 binary64))
Outputs
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))))

simplify3.0ms (0.1%)

Memory
-29.8MiB live, 1.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011
011
Stop Event
1×saturated
1×saturated
Counts
1 → 1
Calls
Call 1
Inputs
0
Outputs
0
#s(literal 0 binary64)

rewrite160.0ms (3.7%)

Memory
-1.7MiB live, 127.8MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01013
01013
1823
29593
084413
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
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 13 to 10 computations (23.1% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
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)

regimes6.0ms (0.1%)

Memory
7.4MiB live, 7.4MiB allocated
Accuracy

Total 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%1x
100.0%1y
100.0%1z
100.0%1(-.f64 (+.f64 (+.f64 x y) z) (+.f64 x (+.f64 y z)))
Compiler

Compiled 14 to 17 computations (-21.4% saved)

simplify23.0ms (0.5%)

Memory
-7.0MiB live, 23.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01013
Stop Event
1×saturated
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))

soundness334.0ms (7.7%)

Memory
26.3MiB live, 58.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06472
118872
247572
3144372
4351372
5440372
6490872
7503772
8505572
9505572
0890772
Stop Event
1×done
1×iter limit
1×node limit
Compiler

Compiled 14 to 14 computations (0% saved)

preprocess79.0ms (1.8%)

Memory
-2.6MiB live, 29.2MiB allocated
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

Profiling

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