Linear.Quaternion:$c/ from linear-1.19.1.3, D

Time bar (total: 5.0s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
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 17 to 11 computations (35.3% saved)

sample1.3s (25.9%)

Memory
-20.4MiB live, 1 254.2MiB allocated
Samples
475.0ms2 465×1valid
391.0ms5 791×0valid
Precisions
Click to see histograms. Total time spent on operations: 595.0ms
ival-mult: 274.0ms (46.1% of total)
ival-sub: 195.0ms (32.8% of total)
adjust: 62.0ms (10.4% of total)
ival-add: 55.0ms (9.2% of total)
ival-true: 5.0ms (0.8% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

explain179.0ms (3.6%)

Memory
4.9MiB live, 101.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1150-0-(+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y))
120-0-(-.f64 (*.f64 x y) (*.f64 y y))
90-0-(-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z))
00-0-z
00-0-(*.f64 x y)
00-0-y
00-0-(*.f64 y z)
00-0-(*.f64 y y)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
+.f64(+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y))nan-rescue660
(*.f64 y y)overflow70
(*.f64 x y)overflow34
(-.f64 (*.f64 x y) (*.f64 y y))overflow81
(*.f64 y y)overflow70
+.f64(+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y))cancellation170
-.f64(-.f64 (*.f64 x y) (*.f64 y y))nan-rescue120
(*.f64 x y)overflow34
(*.f64 y y)overflow70
-.f64(-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z))nan-rescue90
(*.f64 y y)overflow140
(+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y))overflow34
(*.f64 x y)overflow34
(-.f64 (*.f64 x y) (*.f64 y y))overflow81
(*.f64 y z)overflow38
Confusion
Predicted +Predicted -
+860
-4166
Precision
0.9555555555555556
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+8600
-40166
Precision?
0.9555555555555556
Recall?
1.0
Freqs
test
numberfreq
0166
180
26
34
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
29.0ms214×1valid
19.0ms284×0valid
3.0ms14×2valid
Compiler

Compiled 154 to 40 computations (74% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-mult: 14.0ms (47.5% of total)
ival-sub: 6.0ms (20.3% of total)
adjust: 5.0ms (16.9% of total)
ival-add: 3.0ms (10.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess459.0ms (9.1%)

Memory
-1.9MiB live, 185.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
040125
116276
251053
3183247
4532347
5713647
6788247
0915
01513
1339
2917
32335
47425
524015
641875
751405
858085
961135
1062685
1162865
1262865
1362865
081875
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z))
Outputs
(*.f64 (-.f64 x z) y)
Symmetry

(negabs y)

Compiler

Compiled 15 to 9 computations (40% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.1%
(-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z))
Compiler

Compiled 15 to 9 computations (40% saved)

simplify378.0ms (7.5%)

Memory
14.1MiB live, 284.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x y)
cost-diff320
(-.f64 (*.f64 x y) (*.f64 y y))
cost-diff320
(-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z))
cost-diff704
(+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0945
01533
13329
29127
323325
474225
5240125
6418725
7514025
8580825
9611325
10626825
11628625
12628625
13628625
0818725
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z))
(+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y))
(-.f64 (*.f64 x y) (*.f64 y y))
(*.f64 x y)
x
y
(*.f64 y y)
(*.f64 y z)
z
Outputs
(*.f64 (-.f64 x z) y)
(*.f64 x y)
(*.f64 (-.f64 x y) y)
(*.f64 x y)
x
y
(*.f64 y y)
(*.f64 z y)
z

localize60.0ms (1.2%)

Memory
10.3MiB live, 88.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x y)
accuracy1.9101438649812348
(-.f64 (*.f64 x y) (*.f64 y y))
accuracy2.0507709291510294
(-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z))
accuracy27.139971812966415
(+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y))
Samples
42.0ms107×1valid
9.0ms142×0valid
1.0ms2valid
Compiler

Compiled 92 to 20 computations (78.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 7.0ms (48.6% of total)
ival-sub: 3.0ms (20.8% of total)
adjust: 3.0ms (20.8% of total)
ival-add: 2.0ms (13.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series27.0ms (0.5%)

Memory
-21.3MiB live, 16.6MiB allocated
Counts
4 → 108
Calls
Call 1
Inputs
#s(alt #<batchref> (patch (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (*.f64 x y) (*.f64 y y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())
Outputs
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 (*.f64 x y) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 (*.f64 x y) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 (*.f64 x y) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 (*.f64 x y) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 (*.f64 x y) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 (*.f64 x y) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 (*.f64 x y) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 (*.f64 x y) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 (*.f64 x y) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 (*.f64 x y) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 (*.f64 x y) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 (*.f64 x y) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (*.f64 x y) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (*.f64 x y) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (*.f64 x y) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 (*.f64 x y) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 (*.f64 x y) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 (*.f64 x y) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 (*.f64 x y) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 (*.f64 x y) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (*.f64 x y) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (*.f64 x y) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (*.f64 x y) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 (*.f64 x y) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x y) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
1.0ms
y
@-inf
((+ (- (* x y) (* y y)) (* y y)) (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (- (* x y) (* y y)) (* x y))
1.0ms
x
@0
((+ (- (* x y) (* y y)) (* y y)) (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (- (* x y) (* y y)) (* x y))
1.0ms
y
@inf
((+ (- (* x y) (* y y)) (* y y)) (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (- (* x y) (* y y)) (* x y))
1.0ms
y
@0
((+ (- (* x y) (* y y)) (* y y)) (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (- (* x y) (* y y)) (* x y))
1.0ms
x
@-inf
((+ (- (* x y) (* y y)) (* y y)) (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (- (* x y) (* y y)) (* x y))

simplify295.0ms (5.9%)

Memory
5.1MiB live, 179.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048504
1151426
2377426
31163426
43339426
55415426
66437426
77439426
87608426
97738426
107833426
08629426
Stop Event
iter limit
node limit
Counts
108 → 108
Calls
Call 1
Inputs
(* x y)
(+ (* -1 (* y z)) (* x y))
(+ (* -1 (* y z)) (* x y))
(+ (* -1 (* y z)) (* x y))
(* -1 (* y z))
(* z (- (/ (* x y) z) y))
(* z (- (/ (* x y) z) y))
(* z (- (/ (* x y) z) y))
(* -1 (* y z))
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 y))))
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 y))))
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 y))))
(* x y)
(* x y)
(* x y)
(* x y)
(* y (- x z))
(* y (- x z))
(* y (- x z))
(* y (- x z))
(* x y)
(* y (+ x (* -1 y)))
(* y (+ x (* -1 y)))
(* y (+ x (* -1 y)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* y (- x z))
(* y (- x z))
(* y (- x z))
(* y (- x z))
(* -1 (pow y 2))
(* (pow y 2) (- (/ x y) 1))
(* (pow y 2) (- (/ x y) 1))
(* (pow y 2) (- (/ x y) 1))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* y (- (* -1 x) (* -1 z))))
(* -1 (* y (- (* -1 x) (* -1 z))))
(* -1 (* y (- (* -1 x) (* -1 z))))
(* -1 (* y (- (* -1 x) (* -1 z))))
(* -1 (pow y 2))
(* (pow y 2) (- (/ x y) 1))
(* (pow y 2) (- (/ x y) 1))
(* (pow y 2) (- (/ x y) 1))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* y z))
(- (* x y) (* y z))
(- (* x y) (* y z))
(- (* x y) (* y z))
(* -1 (pow y 2))
(- (* x y) (pow y 2))
(- (* x y) (pow y 2))
(- (* x y) (pow y 2))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x (+ y (* -1 (/ (* y z) x))))
(* x (+ y (* -1 (/ (* y z) x))))
(* x (+ y (* -1 (/ (* y z) x))))
(* x y)
(* x (+ y (* -1 (/ (pow y 2) x))))
(* x (+ y (* -1 (/ (pow y 2) x))))
(* x (+ y (* -1 (/ (pow y 2) x))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(* x y)
(* -1 (* x (+ (* -1 y) (/ (pow y 2) x))))
(* -1 (* x (+ (* -1 y) (/ (pow y 2) x))))
(* -1 (* x (+ (* -1 y) (/ (pow y 2) x))))
(* x y)
(* x y)
(* x y)
(* x y)
Outputs
(*.f64 y x)
(*.f64 (-.f64 x z) y)
(*.f64 (-.f64 x z) y)
(*.f64 (-.f64 x z) y)
(*.f64 (neg.f64 z) y)
(*.f64 (-.f64 x z) y)
(*.f64 (-.f64 x z) y)
(*.f64 (-.f64 x z) y)
(*.f64 (neg.f64 z) y)
(*.f64 (-.f64 x z) y)
(*.f64 (-.f64 x z) y)
(*.f64 (-.f64 x z) y)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 (-.f64 x z) y)
(*.f64 (-.f64 x z) y)
(*.f64 (-.f64 x z) y)
(*.f64 (-.f64 x z) y)
(*.f64 y x)
(*.f64 (-.f64 x y) y)
(*.f64 (-.f64 x y) y)
(*.f64 (-.f64 x y) y)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 (-.f64 x z) y)
(*.f64 (-.f64 x z) y)
(*.f64 (-.f64 x z) y)
(*.f64 (-.f64 x z) y)
(*.f64 (neg.f64 y) y)
(*.f64 (-.f64 x y) y)
(*.f64 (-.f64 x y) y)
(*.f64 (-.f64 x y) y)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 (-.f64 x z) y)
(*.f64 (-.f64 x z) y)
(*.f64 (-.f64 x z) y)
(*.f64 (-.f64 x z) y)
(*.f64 (neg.f64 y) y)
(*.f64 (-.f64 x y) y)
(*.f64 (-.f64 x y) y)
(*.f64 (-.f64 x y) y)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 (neg.f64 z) y)
(*.f64 (-.f64 x z) y)
(*.f64 (-.f64 x z) y)
(*.f64 (-.f64 x z) y)
(*.f64 (neg.f64 y) y)
(*.f64 (-.f64 x y) y)
(*.f64 (-.f64 x y) y)
(*.f64 (-.f64 x y) y)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 (-.f64 x z) y)
(*.f64 (-.f64 x z) y)
(*.f64 (-.f64 x z) y)
(*.f64 y x)
(*.f64 (-.f64 x y) y)
(*.f64 (-.f64 x y) y)
(*.f64 (-.f64 x y) y)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 (-.f64 x z) y)
(*.f64 (-.f64 x z) y)
(*.f64 (-.f64 x z) y)
(*.f64 y x)
(*.f64 (-.f64 x y) y)
(*.f64 (-.f64 x y) y)
(*.f64 (-.f64 x y) y)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)
(*.f64 y x)

rewrite227.0ms (4.5%)

Memory
11.8MiB live, 399.2MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0936
01524
17020
266118
0926618
Stop Event
iter limit
node limit
iter limit
Counts
4 → 769
Calls
Call 1
Inputs
(+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y))
(-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z))
(-.f64 (*.f64 x y) (*.f64 y y))
(*.f64 x y)
Outputs
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eval148.0ms (2.9%)

Memory
0.0MiB live, 322.0MiB allocated
Compiler

Compiled 25 877 to 2 212 computations (91.5% saved)

prune17.0ms (0.3%)

Memory
-11.9MiB live, 64.9MiB allocated
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New8734877
Fresh000
Picked101
Done000
Total8744878
Accuracy
100.0%
Counts
878 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.7%
(fma.f64 (neg.f64 z) y (*.f64 y x))
100.0%
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (-.f64 x z) y))
58.1%
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (neg.f64 z) y))
49.1%
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 y x))
Compiler

Compiled 67 to 41 computations (38.8% saved)

simplify388.0ms (7.7%)

Memory
-16.9MiB live, 398.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y x)
cost-diff0
(neg.f64 z)
cost-diff320
(fma.f64 (neg.f64 z) y (*.f64 y x))
cost-diff0
(-.f64 x z)
cost-diff0
(*.f64 (-.f64 x z) y)
cost-diff0
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (-.f64 x z) y))
cost-diff0
(neg.f64 z)
cost-diff0
(*.f64 (neg.f64 z) y)
cost-diff0
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (neg.f64 z) y))
cost-diff0
(*.f64 y x)
cost-diff0
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 y x))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01899
02491
15579
211567
326167
472967
5232467
6403967
7503267
8572367
9603267
10619167
11621167
12621167
13621167
0810267
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 y x))
(*.f64 y x)
y
x
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) y)
(neg.f64 z)
z
y
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (-.f64 x z) y))
(*.f64 (-.f64 x z) y)
(-.f64 x z)
x
z
y
(fma.f64 (neg.f64 z) y (*.f64 y x))
(neg.f64 z)
z
y
(*.f64 y x)
x
Outputs
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 y x))
(*.f64 y x)
y
x
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) y)
(neg.f64 z)
z
y
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (-.f64 x z) y))
(*.f64 (-.f64 x z) y)
(-.f64 x z)
x
z
y
(*.f64 (-.f64 x z) y)
(neg.f64 z)
z
y
(*.f64 y x)
x

localize52.0ms (1%)

Memory
11.7MiB live, 130.4MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 y x)
accuracy0
(neg.f64 z)
accuracy1.4999834856333614
(fma.f64 (neg.f64 z) y (*.f64 y x))
accuracy0
(-.f64 x z)
accuracy0
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (-.f64 x z) y))
accuracy0.0078125
(*.f64 (-.f64 x z) y)
accuracy0
(*.f64 (neg.f64 z) y)
accuracy0
(neg.f64 z)
accuracy26.80551912150427
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (neg.f64 z) y))
accuracy0
(*.f64 y x)
accuracy32.54813713081525
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 y x))
Samples
21.0ms182×0valid
16.0ms74×1valid
Compiler

Compiled 186 to 35 computations (81.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 11.0ms (48.9% of total)
ival-sub: 4.0ms (17.8% of total)
ival-add: 4.0ms (17.8% of total)
adjust: 2.0ms (8.9% of total)
ival-neg: 1.0ms (4.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series20.0ms (0.4%)

Memory
6.4MiB live, 45.0MiB allocated
Counts
9 → 264
Calls
Call 1
Inputs
#s(alt #<batchref> (patch #s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 y x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (neg.f64 z) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (-.f64 x z) y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (-.f64 x z) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 x z) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (neg.f64 z) y (*.f64 y x)) #<representation binary64>) () ())
Outputs
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (neg.f64 z) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (neg.f64 z) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (neg.f64 z) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (neg.f64 z) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (-.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (-.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (-.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (-.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (-.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (-.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (-.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (-.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 x z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 x z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 x z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 x z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 z) y (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 z) y (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 z) y (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 z) y (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch #s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch #s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 y x)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch #s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch #s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch #s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch #s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch #s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (*.f64 (neg.f64 z) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (*.f64 (neg.f64 z) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (*.f64 (neg.f64 z) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (*.f64 (neg.f64 z) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (neg.f64 z) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (*.f64 (-.f64 x z) y) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (*.f64 (-.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (*.f64 (-.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (-.f64 x z) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 z) y (*.f64 y x)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (-.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (-.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 (-.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 (-.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 (-.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 (-.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 x z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 x z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 x z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 x z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 z) y (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 z) y (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 z) y (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 z) y (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (-.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (-.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (-.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch #s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (-.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 (-.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 (-.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 (-.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 (-.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 x z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 x z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 x z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 x z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 z) y (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 z) y (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 z) y (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 z) y (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (neg.f64 z) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (-.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (-.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (-.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (-.f64 x z) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (-.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (-.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (-.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (-.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 x z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 x z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 x z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 x z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 z) y (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 z) y (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 z) y (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 z) y (*.f64 y x)) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
((- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (* y x) (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (* (neg z) y) (neg z) (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (* (- x z) y) (- x z) (+ (* (neg z) y) (* y x)))
1.0ms
y
@-inf
((- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (* y x) (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (* (neg z) y) (neg z) (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (* (- x z) y) (- x z) (+ (* (neg z) y) (* y x)))
1.0ms
y
@0
((- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (* y x) (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (* (neg z) y) (neg z) (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (* (- x z) y) (- x z) (+ (* (neg z) y) (* y x)))
1.0ms
z
@inf
((- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (* y x) (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (* (neg z) y) (neg z) (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (* (- x z) y) (- x z) (+ (* (neg z) y) (* y x)))
1.0ms
y
@inf
((- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (* y x) (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (* (neg z) y) (neg z) (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (* (- x z) y) (- x z) (+ (* (neg z) y) (* y x)))

simplify185.0ms (3.7%)

Memory
-14.3MiB live, 143.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0561410
11901110
24741110
313751110
429191110
540871110
648671110
754841110
857001110
958251110
1064141110
1167281110
1267281110
1367281110
1467281110
081441110
Stop Event
iter limit
node limit
Counts
264 → 261
Calls
Call 1
Inputs
(* x y)
(+ (* -1 (* y z)) (* x y))
(+ (* -1 (* y z)) (* x y))
(+ (* -1 (* y z)) (* x y))
(* x y)
(+ (* -1 (* y z)) (* x y))
(+ (* -1 (* y z)) (* x y))
(+ (* -1 (* y z)) (* x y))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* x y)
(+ (* -1 (* y z)) (* x y))
(+ (* -1 (* y z)) (* x y))
(+ (* -1 (* y z)) (* x y))
(* x y)
(+ (* -1 (* y z)) (* x y))
(+ (* -1 (* y z)) (* x y))
(+ (* -1 (* y z)) (* x y))
x
(+ x (* -1 z))
(+ x (* -1 z))
(+ x (* -1 z))
(* x y)
(+ (* -1 (* y z)) (* x y))
(+ (* -1 (* y z)) (* x y))
(+ (* -1 (* y z)) (* x y))
(* -1 (* y z))
(* z (- (/ (* x y) z) y))
(* z (- (/ (* x y) z) y))
(* z (- (/ (* x y) z) y))
(* -1 (* y z))
(* z (- (/ (* x y) z) y))
(* z (- (/ (* x y) z) y))
(* z (- (/ (* x y) z) y))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 (* y z))
(* z (- (/ (* x y) z) y))
(* z (- (/ (* x y) z) y))
(* z (- (/ (* x y) z) y))
(* -1 (* y z))
(* z (+ (* -1 y) (/ (* x y) z)))
(* z (+ (* -1 y) (/ (* x y) z)))
(* z (+ (* -1 y) (/ (* x y) z)))
(* -1 z)
(* z (- (/ x z) 1))
(* z (- (/ x z) 1))
(* z (- (/ x z) 1))
(* -1 (* y z))
(* z (+ (* -1 y) (/ (* x y) z)))
(* z (+ (* -1 y) (/ (* x y) z)))
(* z (+ (* -1 y) (/ (* x y) z)))
(* -1 (* y z))
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 y))))
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 y))))
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 y))))
(* -1 (* y z))
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 y))))
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 y))))
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 y))))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 (* y z))
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 y))))
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 y))))
(* -1 (* z (- (* -1 (/ (* x y) z)) (* -1 y))))
(* -1 (* y z))
(* -1 (* z (+ y (* -1 (/ (* x y) z)))))
(* -1 (* z (+ y (* -1 (/ (* x y) z)))))
(* -1 (* z (+ y (* -1 (/ (* x y) z)))))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* -1 (* y z))
(* -1 (* z (+ y (* -1 (/ (* x y) z)))))
(* -1 (* z (+ y (* -1 (/ (* x y) z)))))
(* -1 (* z (+ y (* -1 (/ (* x y) z)))))
(* y (- x z))
(* y (- x z))
(* y (- x z))
(* y (- x z))
(* x y)
(* x y)
(* x y)
(* x y)
(* y (- x z))
(* y (- x z))
(* y (- x z))
(* y (- x z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* y (- x z))
(* y (- x z))
(* y (- x z))
(* y (- x z))
(* y (- x z))
(* y (- x z))
(* y (- x z))
(* y (- x z))
(* y (+ x (* -1 z)))
(* y (+ x (* -1 z)))
(* y (+ x (* -1 z)))
(* y (+ x (* -1 z)))
(* y (- x z))
(* y (- x z))
(* y (- x z))
(* y (- x z))
(* x y)
(* x y)
(* x y)
(* x y)
(* y (- x z))
(* y (- x z))
(* y (- x z))
(* y (- x z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* y (- x z))
(* y (- x z))
(* y (- x z))
(* y (- x z))
(* y (- x z))
(* y (- x z))
(* y (- x z))
(* y (- x z))
(* y (+ x (* -1 z)))
(* y (+ x (* -1 z)))
(* y (+ x (* -1 z)))
(* y (+ x (* -1 z)))
(* -1 (* y (- (* -1 x) (* -1 z))))
(* -1 (* y (- (* -1 x) (* -1 z))))
(* -1 (* y (- (* -1 x) (* -1 z))))
(* -1 (* y (- (* -1 x) (* -1 z))))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* y (- (* -1 x) (* -1 z))))
(* -1 (* y (- (* -1 x) (* -1 z))))
(* -1 (* y (- (* -1 x) (* -1 z))))
(* -1 (* y (- (* -1 x) (* -1 z))))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y z))
(* -1 (* y (- (* -1 x) (* -1 z))))
(* -1 (* y (- (* -1 x) (* -1 z))))
(* -1 (* y (- (* -1 x) (* -1 z))))
(* -1 (* y (- (* -1 x) (* -1 z))))
(* y (- x z))
(* y (- x z))
(* y (- x z))
(* y (- x z))
(* -1 (* y (+ z (* -1 x))))
(* -1 (* y (+ z (* -1 x))))
(* -1 (* y (+ z (* -1 x))))
(* -1 (* y (+ z (* -1 x))))
(* -1 (* y z))
(- (* x y) (* y z))
(- (* x y) (* y z))
(- (* x y) (* y z))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* y z))
(- (* x y) (* y z))
(- (* x y) (* y z))
(- (* x y) (* y z))
(* -1 (* y z))
(- (* x y) (* y z))
(- (* x y) (* y z))
(- (* x y) (* y z))
(* -1 (* y z))
(+ (* -1 (* y z)) (* x y))
(+ (* -1 (* y z)) (* x y))
(+ (* -1 (* y z)) (* x y))
(* -1 z)
(- x z)
(- x z)
(- x z)
(* -1 (* y z))
(+ (* -1 (* y z)) (* x y))
(+ (* -1 (* y z)) (* x y))
(+ (* -1 (* y z)) (* x y))
(* x y)
(* x (+ y (* -1 (/ (* y z) x))))
(* x (+ y (* -1 (/ (* y z) x))))
(* x (+ y (* -1 (/ (* y z) x))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x (+ y (* -1 (/ (* y z) x))))
(* x (+ y (* -1 (/ (* y z) x))))
(* x (+ y (* -1 (/ (* y z) x))))
(* x y)
(* x (+ y (* -1 (/ (* y z) x))))
(* x (+ y (* -1 (/ (* y z) x))))
(* x (+ y (* -1 (/ (* y z) x))))
(* x y)
(* x (+ y (* -1 (/ (* y z) x))))
(* x (+ y (* -1 (/ (* y z) x))))
(* x (+ y (* -1 (/ (* y z) x))))
x
(* x (+ 1 (* -1 (/ z x))))
(* x (+ 1 (* -1 (/ z x))))
(* x (+ 1 (* -1 (/ z x))))
(* x y)
(* x (+ y (* -1 (/ (* y z) x))))
(* x (+ y (* -1 (/ (* y z) x))))
(* x (+ y (* -1 (/ (* y z) x))))
(* x y)
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(* x y)
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(* x y)
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
x
(* -1 (* x (- (/ z x) 1)))
(* -1 (* x (- (/ z x) 1)))
(* -1 (* x (- (/ z x) 1)))
(* x y)
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
(* -1 (* x (+ (* -1 y) (/ (* y z) x))))
Outputs
(*.f64 y x)
(*.f64 (-.f64 x z) y)
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rewrite258.0ms (5.1%)

Memory
-7.2MiB live, 359.6MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01884
02476
112164
296852
0902952
Stop Event
iter limit
node limit
iter limit
Counts
9 → 688
Calls
Call 1
Inputs
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 y x))
(*.f64 y x)
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) y)
(neg.f64 z)
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (-.f64 x z) y))
(*.f64 (-.f64 x z) y)
(-.f64 x z)
(fma.f64 (neg.f64 z) y (*.f64 y x))
Outputs
#<batchref>
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eval138.0ms (2.7%)

Memory
25.5MiB live, 367.0MiB allocated
Compiler

Compiled 32 849 to 1 693 computations (94.8% saved)

prune43.0ms (0.9%)

Memory
23.5MiB live, 143.1MiB allocated
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1 14601 146
Fresh000
Picked044
Done000
Total1 14641 150
Accuracy
100.0%
Counts
1 150 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.7%
(fma.f64 (neg.f64 z) y (*.f64 y x))
100.0%
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (-.f64 x z) y))
58.1%
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (neg.f64 z) y))
49.1%
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 y x))
Compiler

Compiled 149 to 65 computations (56.4% saved)

regimes12.0ms (0.2%)

Memory
-5.5MiB live, 32.8MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 y x))
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (neg.f64 z) y))
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (-.f64 x z) y))
(fma.f64 (neg.f64 z) y (*.f64 y x))
(-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z))
Outputs
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (-.f64 x z) y))
Calls

4 calls:

4.0ms
(-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z))
2.0ms
y
2.0ms
x
2.0ms
z
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z))
Compiler

Compiled 18 to 18 computations (0% saved)

regimes15.0ms (0.3%)

Memory
-33.9MiB live, 21.3MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 y x))
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (neg.f64 z) y))
Outputs
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 y x))
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (neg.f64 z) y))
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 y x))
Calls

4 calls:

10.0ms
y
2.0ms
x
2.0ms
(-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z))
2.0ms
z
Results
AccuracySegmentsBranch
81.3%3x
64.0%4y
80.8%3z
58.1%1(-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z))
Compiler

Compiled 18 to 18 computations (0% saved)

regimes6.0ms (0.1%)

Memory
17.3MiB live, 17.3MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

1.0ms
x
1.0ms
(-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z))
1.0ms
z
1.0ms
y
Results
AccuracySegmentsBranch
49.1%1(-.f64 (+.f64 (-.f64 (*.f64 x y) (*.f64 y y)) (*.f64 y y)) (*.f64 y z))
49.1%1y
49.1%1z
49.1%1x
Compiler

Compiled 18 to 18 computations (0% saved)

bsearch37.0ms (0.7%)

Memory
-11.5MiB live, 101.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
5.0152768584899553e+64
6.123598691826831e+71
13.0ms
-7.309807590208201e-72
-5.772139200411518e-73
Samples
10.0ms160×0valid
10.0ms80×1valid
Compiler

Compiled 603 to 390 computations (35.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 6.0ms (50.8% of total)
ival-sub: 3.0ms (25.4% of total)
adjust: 2.0ms (16.9% of total)
ival-add: 1.0ms (8.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

simplify28.0ms (0.6%)

Memory
17.3MiB live, 100.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023106
133106
242106
349106
452106
553106
Stop Event
saturated
Calls
Call 1
Inputs
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (-.f64 x z) y))
(if (<=.f64 x #s(literal -55948864096101/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704 binary64)) #s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 y x)) (if (<=.f64 x #s(literal 179999999999999989222659048392762254977378089665403493860054663168 binary64)) #s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (neg.f64 z) y)) #s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 y x))))
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 y x))
Outputs
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (-.f64 x z) y))
(if (<=.f64 x #s(literal -55948864096101/7770675568902916283677847627294075626569627356208558085007249638955617140820833992704 binary64)) #s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 y x)) (if (<=.f64 x #s(literal 179999999999999989222659048392762254977378089665403493860054663168 binary64)) #s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 (neg.f64 z) y)) #s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 y x))))
#s(approx (- (+ (- (* x y) (* y y)) (* y y)) (* y z)) (*.f64 y x))

soundness716.0ms (14.2%)

Memory
-6.3MiB live, 192.8MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048504
1151426
2377426
31163426
43339426
55415426
66437426
77439426
87608426
97738426
107833426
08629426
Stop Event
done
iter limit
node limit
Compiler

Compiled 121 to 41 computations (66.1% saved)

preprocess36.0ms (0.7%)

Memory
2.2MiB live, 121.4MiB allocated
Remove

(negabs y)

Compiler

Compiled 294 to 98 computations (66.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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