Commute and associate

Time bar (total: 3.7s)

start3.0ms (0.1%)

Memory
-38.1MiB live, 0.1MiB allocated; 10ms collecting garbage

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
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)

sample2.4s (63.3%)

Memory
37.1MiB live, 1 393.8MiB allocated; 999ms collecting garbage
Samples
1.1s4 064×2valid
963.0ms4 190×1valid
0.0ms0valid
Precisions
Click to see histograms. Total time spent on operations: 1.6s
adjust: 998.0ms (63.4% of total)
ival-add: 469.0ms (29.8% of total)
ival-sub: 98.0ms (6.2% of total)
ival-true: 6.0ms (0.4% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

explain195.0ms (5.2%)

Memory
-7.3MiB live, 98.5MiB allocated; 13ms 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 -
+01
-0255
Precision
0/0
Recall
0.0
Confusion?
Predicted +Predicted MaybePredicted -
+001
-00255
Precision?
0/0
Recall?
0.0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+001
-000
Precision?
0/0
Recall?
0.0
Samples
52.0ms234×2valid
39.0ms278×1valid
Compiler

Compiled 75 to 28 computations (62.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
adjust: 38.0ms (58.7% of total)
ival-add: 21.0ms (32.5% of total)
ival-sub: 5.0ms (7.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess179.0ms (4.8%)

Memory
28.8MiB live, 75.9MiB 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
iter limit
node limit
iter limit
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
0.3MiB live, 0.3MiB 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)

simplify168.0ms (4.5%)

Memory
-13.7MiB live, 89.3MiB allocated; 19ms 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
iter limit
node limit
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)

localize68.0ms (1.8%)

Memory
14.7MiB live, 100.6MiB allocated; 15ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 (+.f64 x y) z)
accuracy0.0
(+.f64 y z)
accuracy0.0
(+.f64 x (+.f64 y z))
accuracy0.0
(+.f64 x y)
Samples
42.0ms117×2valid
19.0ms139×1valid
Compiler

Compiled 32 to 10 computations (68.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
adjust: 35.0ms (73% of total)
ival-add: 10.0ms (20.9% of total)
ival-sub: 2.0ms (4.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
3.1MiB live, 3.1MiB allocated; 0ms collecting garbage
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
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
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))

simplify88.0ms (2.4%)

Memory
5.3MiB live, 52.4MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06472
118372
248372
3132872
4644172
0826272
Stop Event
iter limit
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)

rewrite189.0ms (5%)

Memory
-26.5MiB live, 115.8MiB allocated; 35ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0827
01327
18317
290117
0879217
Stop Event
iter limit
node limit
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)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (fma.f64 z (-.f64 z (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (fma.f64 z (-.f64 z (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (fma.f64 z (-.f64 z (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 y y) (*.f64 (+.f64 z x) (+.f64 z x))) (-.f64 y (+.f64 z x)))
(/.f64 (-.f64 (*.f64 y y) (*.f64 (+.f64 x z) (+.f64 x z))) (-.f64 y (+.f64 x z)))
(/.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 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z y) (-.f64 (+.f64 z y) x) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 z y) #s(literal 3 binary64)) (fma.f64 (+.f64 z y) (-.f64 (+.f64 z y) x) (*.f64 x x))) #s(literal 3 binary64))) (fma.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 (/.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)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (fma.f64 z (-.f64 z (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (fma.f64 z (-.f64 z (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (fma.f64 z (-.f64 z (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (fma.f64 z (-.f64 z (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))))))
(/.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 (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 (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))
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(/.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))))
(/.f64 (+.f64 (pow.f64 (+.f64 z y) #s(literal 3 binary64)) (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 y x) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 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))) (fma.f64 z (-.f64 z (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(neg.f64 (neg.f64 (+.f64 (+.f64 z y) x)))
(-.f64 (/.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (-.f64 (+.f64 z y) x)) (/.f64 (*.f64 x x) (-.f64 (+.f64 z y) x)))
(-.f64 (/.f64 (*.f64 z z) (-.f64 z (+.f64 y x))) (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 z (+.f64 y x))))
(-.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 (pow.f64 (+.f64 z y) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 z y) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (+.f64 z y) x)))) (/.f64 (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)))))
(+.f64 (/.f64 (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)))) (/.f64 (pow.f64 (+.f64 z y) #s(literal 3 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 y x) #s(literal 3 binary64)) (fma.f64 z z (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 z (+.f64 y x))))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 z (+.f64 y x))))))
(+.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (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)) (fma.f64 z z (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 z (+.f64 y x))))))
(+.f64 (+.f64 z x) y)
(+.f64 (+.f64 x z) y)
(+.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 x #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))))
(+.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (fma.f64 z (-.f64 z (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (fma.f64 z (-.f64 z (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (*.f64 x x) (-.f64 (-.f64 x y) z)) (/.f64 (neg.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 (neg.f64 z) z) (-.f64 (+.f64 y x) z)))
(+.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 (/.f64 (*.f64 y y) (-.f64 y z)) (/.f64 (*.f64 y y) (-.f64 y z))) (*.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 (-.f64 (*.f64 (/.f64 (pow.f64 y #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 z #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 (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 (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 (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (-.f64 z y) (*.f64 y y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (-.f64 z y) (*.f64 y y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #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 (/.f64 (pow.f64 z #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 (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 (neg.f64 (*.f64 (+.f64 z y) (-.f64 z y))) (neg.f64 (-.f64 z y)))
(/.f64 (neg.f64 (fma.f64 (neg.f64 y) y (*.f64 z 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 z y) (-.f64 z y)) (-.f64 z y))
(/.f64 (fma.f64 (neg.f64 y) y (*.f64 z 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 (fma.f64 y y (*.f64 (neg.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 (fma.f64 y y (*.f64 (neg.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)))
(neg.f64 (neg.f64 (+.f64 z 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 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (fma.f64 y y (*.f64 (neg.f64 z) y)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z z (fma.f64 y y (*.f64 (neg.f64 z) y)))))
(+.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)

eval11.0ms (0.3%)

Memory
9.0MiB live, 9.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 3 930 to 526 computations (86.6% saved)

prune2.0ms (0.1%)

Memory
4.3MiB live, 4.3MiB allocated; 0ms collecting garbage
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New1131114
Fresh000
Picked101
Done000
Total1141115
Accuracy
100.0%
Counts
115 → 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)

simplify117.0ms (3.1%)

Memory
23.4MiB live, 23.4MiB allocated; 0ms 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
iter limit
node limit
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)

localize56.0ms (1.5%)

Memory
-34.3MiB live, 13.0MiB 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
32.0ms117×2valid
18.0ms139×1valid
Compiler

Compiled 14 to 11 computations (21.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
adjust: 27.0ms (66% of total)
ival-add: 11.0ms (26.9% of total)
ival-sub: 2.0ms (4.9% 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
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
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
z
@inf
((- (+ (+ x y) z) (+ x (+ y z))))
0.0ms
x
@0
((- (+ (+ x y) z) (+ x (+ y z))))
0.0ms
z
@-inf
((- (+ (+ x y) z) (+ x (+ y z))))
0.0ms
y
@0
((- (+ (+ x y) z) (+ x (+ y z))))
0.0ms
x
@inf
((- (+ (+ x y) z) (+ x (+ y z))))

simplify2.0ms (0.1%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite139.0ms (3.7%)

Memory
-6.8MiB live, 47.8MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01013
01013
1803
29043
089663
Stop Event
iter limit
node limit
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
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 13 to 10 computations (23.1% saved)

prune1.0ms (0%)

Memory
0.6MiB live, 0.6MiB 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
5.5MiB live, 5.5MiB 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
y
1.0ms
x
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)

simplify50.0ms (1.3%)

Memory
9.8MiB live, 9.8MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01013
1193
2623
32483
49523
512813
622513
737653
860743
Stop Event
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))

derivations30.0ms (0.8%)

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

Compiled 13 to 10 computations (23.1% saved)

preprocess64.0ms (1.7%)

Memory
-19.1MiB live, 26.7MiB allocated; 4ms 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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