Optimisation.CirclePacking:place from circle-packing-0.1.0.4, D

Time bar (total: 7.6s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze102.0ms (1.4%)

Memory
5.8MiB live, 53.0MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
0%0%99.8%0.2%0%0%0%4
50%49.9%49.9%0.2%0%0%0%5
50%49.9%49.9%0.2%0%0%0%6
50%49.9%49.9%0.2%0%0%0%7
50%49.9%49.9%0.2%0%0%0%8
75%74.9%25%0.2%0%0%0%9
75%74.9%25%0.2%0%0%0%10
75%74.9%25%0.2%0%0%0%11
75%74.9%25%0.2%0%0%0%12
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.0s (13.3%)

Memory
8.3MiB live, 1 534.2MiB allocated
Samples
554.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 243.0ms
ival-div: 71.0ms (29.3% of total)
ival-mult: 62.0ms (25.6% of total)
ival-sub: 58.0ms (23.9% of total)
ival-add: 42.0ms (17.3% of total)
ival-true: 7.0ms (2.9% of total)
ival-assert: 3.0ms (1.2% of total)
Bogosity

explain90.0ms (1.2%)

Memory
26.3MiB live, 183.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
160-3(7.999050442813174e-263 -1.2297751890488834e-259 2.9941380074552827e-55 -6.617557788316026e-193)(/.f64 (*.f64 y (-.f64 z x)) t)
00-0-(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
00-0-y
00-0-t
00-0-(*.f64 y (-.f64 z x))
00-0-(-.f64 z x)
00-0-z
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 y (-.f64 z x)) t)o/n100
(*.f64 y (-.f64 z x))overflow37
/.f64(/.f64 (*.f64 y (-.f64 z x)) t)u/n20
(*.f64 y (-.f64 z x))underflow9
Confusion
Predicted +Predicted -
+121
-0243
Precision
1.0
Recall
0.9230769230769231
Confusion?
Predicted +Predicted MaybePredicted -
+1201
-00243
Precision?
1.0
Recall?
0.9230769230769231
Freqs
test
numberfreq
0244
112
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
39.0ms512×0valid
Compiler

Compiled 97 to 36 computations (62.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 6.0ms (37% of total)
ival-div: 4.0ms (24.7% of total)
ival-sub: 3.0ms (18.5% of total)
ival-add: 2.0ms (12.3% of total)
ival-true: 1.0ms (6.2% of total)
ival-assert: 0.0ms (0% of total)

preprocess131.0ms (1.7%)

Memory
4.5MiB live, 128.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050138
1128128
2362126
31024126
43348126
55898126
089
0129
1189
2359
3539
41049
52199
63979
76559
811599
921009
1023619
1124339
1224509
1324519
1424519
024518
Stop Event
iter limit
saturated
iter limit
node limit
Calls
Call 1
Inputs
(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
Outputs
(fma.f64 (/.f64 y t) (-.f64 z x) x)
Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.2%
(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify65.0ms (0.9%)

Memory
3.3MiB live, 41.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 z x)
cost-diff0
(*.f64 y (-.f64 z x))
cost-diff0
(/.f64 (*.f64 y (-.f64 z x)) t)
cost-diff128
(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0828
01228
11828
23528
35328
410428
521928
639728
765528
8115928
9210028
10236128
11243328
12245028
13245128
14245128
0245127
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
x
(/.f64 (*.f64 y (-.f64 z x)) t)
(*.f64 y (-.f64 z x))
y
(-.f64 z x)
z
t
Outputs
(fma.f64 (/.f64 y t) (-.f64 z x) x)
x
(*.f64 (/.f64 y t) (-.f64 z x))
(*.f64 (-.f64 z x) y)
y
(-.f64 z x)
z
t

localize90.0ms (1.2%)

Memory
-26.5MiB live, 52.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 z x)
accuracy0.01171875
(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
accuracy0.015625
(*.f64 y (-.f64 z x))
accuracy3.5520279072441876
(/.f64 (*.f64 y (-.f64 z x)) t)
Samples
78.0ms256×0valid
Compiler

Compiled 58 to 18 computations (69% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-sub: 55.0ms (91.4% of total)
ival-div: 2.0ms (3.3% of total)
ival-mult: 2.0ms (3.3% of total)
ival-add: 1.0ms (1.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory
9.1MiB live, 47.8MiB allocated
Counts
4 → 156
Calls
Call 1
Inputs
#s(alt #<batchref> (patch (+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (*.f64 y (-.f64 z x)) t) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 z x) #<representation binary64>) () ())
Outputs
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 (*.f64 y (-.f64 z x)) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 (*.f64 y (-.f64 z x)) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 (*.f64 y (-.f64 z x)) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 (*.f64 y (-.f64 z x)) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (/.f64 (*.f64 y (-.f64 z x)) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (/.f64 (*.f64 y (-.f64 z x)) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (/.f64 (*.f64 y (-.f64 z x)) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (/.f64 (*.f64 y (-.f64 z x)) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (/.f64 (*.f64 y (-.f64 z x)) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (/.f64 (*.f64 y (-.f64 z x)) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (/.f64 (*.f64 y (-.f64 z x)) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (/.f64 (*.f64 y (-.f64 z x)) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (*.f64 y (-.f64 z x)) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (*.f64 y (-.f64 z x)) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (*.f64 y (-.f64 z x)) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (*.f64 y (-.f64 z x)) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (/.f64 (*.f64 y (-.f64 z x)) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (/.f64 (*.f64 y (-.f64 z x)) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (/.f64 (*.f64 y (-.f64 z x)) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (/.f64 (*.f64 y (-.f64 z x)) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (/.f64 (*.f64 y (-.f64 z x)) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (/.f64 (*.f64 y (-.f64 z x)) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (/.f64 (*.f64 y (-.f64 z x)) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (/.f64 (*.f64 y (-.f64 z x)) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (*.f64 y (-.f64 z x)) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (*.f64 y (-.f64 z x)) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (*.f64 y (-.f64 z x)) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (*.f64 y (-.f64 z x)) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 (*.f64 y (-.f64 z x)) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 (*.f64 y (-.f64 z x)) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 (*.f64 y (-.f64 z x)) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 (*.f64 y (-.f64 z x)) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y (-.f64 z x)) #<representation binary64>) () ())) ())
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Calls

12 calls:

TimeVariablePointExpression
2.0ms
x
@0
((+ x (/ (* y (- z x)) t)) (/ (* y (- z x)) t) (* y (- z x)) (- z x))
2.0ms
x
@-inf
((+ x (/ (* y (- z x)) t)) (/ (* y (- z x)) t) (* y (- z x)) (- z x))
2.0ms
z
@-inf
((+ x (/ (* y (- z x)) t)) (/ (* y (- z x)) t) (* y (- z x)) (- z x))
1.0ms
y
@inf
((+ x (/ (* y (- z x)) t)) (/ (* y (- z x)) t) (* y (- z x)) (- z x))
1.0ms
y
@-inf
((+ x (/ (* y (- z x)) t)) (/ (* y (- z x)) t) (* y (- z x)) (- z x))

simplify116.0ms (1.5%)

Memory
1.9MiB live, 163.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105954
1343951
21094951
33344951
46503951
08322915
Stop Event
iter limit
node limit
Counts
156 → 150
Calls
Call 1
Inputs
(/ (* y (- z x)) t)
(/ (+ (* t x) (* y (- z x))) t)
(/ (+ (* t x) (* y (- z x))) t)
(/ (+ (* t x) (* y (- z x))) t)
(/ (* y (- z x)) t)
(/ (* y (- z x)) t)
(/ (* y (- z x)) t)
(/ (* y (- z x)) t)
x
(+ x (/ (* y (- z x)) t))
(+ x (/ (* y (- z x)) t))
(+ x (/ (* y (- z x)) t))
(/ (* y (- z x)) t)
(/ (* y (- z x)) t)
(/ (* y (- z x)) t)
(/ (* y (- z x)) t)
x
(+ x (/ (* y (- z x)) t))
(+ x (/ (* y (- z x)) t))
(+ x (/ (* y (- z x)) t))
(/ (* y (- z x)) t)
(/ (* y (- z x)) t)
(/ (* y (- z x)) t)
(/ (* y (- z x)) t)
(+ x (* -1 (/ (* x y) t)))
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t)))
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t)))
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t)))
(* -1 (/ (* x y) t))
(+ (* -1 (/ (* x y) t)) (/ (* y z) t))
(+ (* -1 (/ (* x y) t)) (/ (* y z) t))
(+ (* -1 (/ (* x y) t)) (/ (* y z) t))
(* -1 (* x y))
(+ (* -1 (* x y)) (* y z))
(+ (* -1 (* x y)) (* y z))
(+ (* -1 (* x y)) (* y z))
(* -1 x)
(- z x)
(- z x)
(- z x)
(/ (* y z) t)
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t))))
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t))))
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t))))
(/ (* y z) t)
(* z (+ (* -1 (/ (* x y) (* t z))) (/ y t)))
(* z (+ (* -1 (/ (* x y) (* t z))) (/ y t)))
(* z (+ (* -1 (/ (* x y) (* t z))) (/ y t)))
(* y z)
(* z (+ y (* -1 (/ (* x y) z))))
(* z (+ y (* -1 (/ (* x y) z))))
(* z (+ y (* -1 (/ (* x y) z))))
z
(* z (+ 1 (* -1 (/ x z))))
(* z (+ 1 (* -1 (/ x z))))
(* z (+ 1 (* -1 (/ x z))))
(/ (* y z) t)
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z)))))
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z)))))
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z)))))
(/ (* y z) t)
(* -1 (* z (+ (* -1 (/ y t)) (/ (* x y) (* t z)))))
(* -1 (* z (+ (* -1 (/ y t)) (/ (* x y) (* t z)))))
(* -1 (* z (+ (* -1 (/ y t)) (/ (* x y) (* t z)))))
(* y z)
(* -1 (* z (+ (* -1 y) (/ (* x y) z))))
(* -1 (* z (+ (* -1 y) (/ (* x y) z))))
(* -1 (* z (+ (* -1 y) (/ (* x y) z))))
z
(* -1 (* z (- (/ x z) 1)))
(* -1 (* z (- (/ x z) 1)))
(* -1 (* z (- (/ x z) 1)))
x
(+ x (* y (- (/ z t) (/ x t))))
(+ x (* y (- (/ z t) (/ x t))))
(+ x (* y (- (/ z t) (/ x t))))
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(/ (* y (- z x)) t)
(/ (* y (- z x)) t)
(/ (* y (- z x)) t)
(* y (- z x))
(* y (- z x))
(* y (- z x))
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(* y (- (/ z t) (/ x t)))
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(* y (- (+ (/ x y) (/ z t)) (/ x t)))
(* y (- (+ (/ x y) (/ z t)) (/ x t)))
(/ (* y (- z x)) t)
(/ (* y (- z x)) t)
(/ (* y (- z x)) t)
(/ (* y (- z x)) t)
(* y (- z x))
(* y (- z x))
(* y (- z x))
(* y (- z x))
(/ (* y (- z x)) t)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (- z x) t)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (- z x) t)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (- z x) t)))))
(/ (* y (- z x)) t)
(/ (* y (- z x)) t)
(/ (* y (- z x)) t)
(/ (* y (- z x)) t)
(* y (- z x))
(* y (- z x))
(* y (- z x))
(* y (- z x))
(/ (* y z) t)
(+ (* x (+ 1 (* -1 (/ y t)))) (/ (* y z) t))
(+ (* x (+ 1 (* -1 (/ y t)))) (/ (* y z) t))
(+ (* x (+ 1 (* -1 (/ y t)))) (/ (* y z) t))
(/ (* y z) t)
(+ (* -1 (/ (* x y) t)) (/ (* y z) t))
(+ (* -1 (/ (* x y) t)) (/ (* y z) t))
(+ (* -1 (/ (* x y) t)) (/ (* y z) t))
(* y z)
(+ (* -1 (* x y)) (* y z))
(+ (* -1 (* x y)) (* y z))
(+ (* -1 (* x y)) (* y z))
z
(+ z (* -1 x))
(+ z (* -1 x))
(+ z (* -1 x))
(* x (+ 1 (* -1 (/ y t))))
(* x (+ 1 (+ (* -1 (/ y t)) (/ (* y z) (* t x)))))
(* x (+ 1 (+ (* -1 (/ y t)) (/ (* y z) (* t x)))))
(* x (+ 1 (+ (* -1 (/ y t)) (/ (* y z) (* t x)))))
(* -1 (/ (* x y) t))
(* x (+ (* -1 (/ y t)) (/ (* y z) (* t x))))
(* x (+ (* -1 (/ y t)) (/ (* y z) (* t x))))
(* x (+ (* -1 (/ y t)) (/ (* y z) (* t x))))
(* -1 (* x y))
(* x (+ (* -1 y) (/ (* y z) x)))
(* x (+ (* -1 y) (/ (* y z) x)))
(* x (+ (* -1 y) (/ (* y z) x)))
(* -1 x)
(* x (- (/ z x) 1))
(* x (- (/ z x) 1))
(* x (- (/ z x) 1))
(* -1 (* x (- (/ y t) 1)))
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ y t)) 1)))
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ y t)) 1)))
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ y t)) 1)))
(* -1 (/ (* x y) t))
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ y t))))
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ y t))))
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ y t))))
(* -1 (* x y))
(* -1 (* x (+ y (* -1 (/ (* y z) x)))))
(* -1 (* x (+ y (* -1 (/ (* y z) x)))))
(* -1 (* x (+ y (* -1 (/ (* y z) x)))))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ z x)))))
(* -1 (* x (+ 1 (* -1 (/ z x)))))
(* -1 (* x (+ 1 (* -1 (/ z x)))))
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(-.f64 z x)
(-.f64 z x)
(-.f64 x (/.f64 (*.f64 y x) t))
(fma.f64 (/.f64 (-.f64 z x) t) y x)
(fma.f64 (/.f64 (-.f64 z x) t) y x)
(fma.f64 (/.f64 (-.f64 z x) t) y x)
(*.f64 (/.f64 (neg.f64 x) t) y)
(/.f64 (*.f64 (-.f64 z x) y) t)
(/.f64 (*.f64 (-.f64 z x) y) t)
(/.f64 (*.f64 (-.f64 z x) y) t)
(*.f64 (neg.f64 y) x)
(*.f64 (-.f64 z x) y)
(*.f64 (-.f64 z x) y)
(*.f64 (-.f64 z x) y)
(neg.f64 x)
(-.f64 z x)
(-.f64 z x)
(-.f64 z x)
(-.f64 x (/.f64 (*.f64 y x) t))
(fma.f64 (/.f64 (-.f64 z x) t) y x)
(fma.f64 (/.f64 (-.f64 z x) t) y x)
(fma.f64 (/.f64 (-.f64 z x) t) y x)
(*.f64 (/.f64 (neg.f64 x) t) y)
(/.f64 (*.f64 (-.f64 z x) y) t)
(/.f64 (*.f64 (-.f64 z x) y) t)
(/.f64 (*.f64 (-.f64 z x) y) t)
(*.f64 (neg.f64 y) x)
(*.f64 (-.f64 z x) y)
(*.f64 (-.f64 z x) y)
(*.f64 (-.f64 z x) y)
(neg.f64 x)
(-.f64 z x)
(-.f64 z x)
(-.f64 z x)

rewrite148.0ms (2%)

Memory
-8.5MiB live, 147.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
01224
14924
240724
3701324
0817023
Stop Event
iter limit
node limit
iter limit
Counts
4 → 292
Calls
Call 1
Inputs
(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
(/.f64 (*.f64 y (-.f64 z x)) t)
(*.f64 y (-.f64 z x))
(-.f64 z x)
Outputs
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eval72.0ms (1%)

Memory
-15.9MiB live, 128.8MiB allocated
Compiler

Compiled 9 173 to 1 081 computations (88.2% saved)

prune25.0ms (0.3%)

Memory
1.5MiB live, 40.7MiB allocated
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New43012442
Fresh000
Picked101
Done000
Total43112443
Accuracy
100.0%
Counts
443 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
93.2%
(fma.f64 (/.f64 (-.f64 z x) t) y x)
96.8%
(fma.f64 (/.f64 y t) (-.f64 z x) x)
96.7%
(fma.f64 (-.f64 z x) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) x)
94.8%
(+.f64 x (/.f64 (fma.f64 (neg.f64 x) y (*.f64 z y)) t))
95.2%
(+.f64 x (/.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 z x))) t))
77.8%
(+.f64 x (/.f64 #s(approx (* y (- z x)) (*.f64 z y)) t))
93.4%
(+.f64 x (/.f64 y (/.f64 t (-.f64 z x))))
95.2%
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (-.f64 z x) y))))
85.5%
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (fma.f64 (-.f64 z x) y (*.f64 t x)) t))
55.9%
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 (-.f64 z x) y) t))
37.8%
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t))
62.1%
#s(approx (+ x (/ (* y (- z x)) t)) (-.f64 x (/.f64 (*.f64 y x) t)))
Compiler

Compiled 302 to 238 computations (21.2% saved)

simplify69.0ms (0.9%)

Memory
10.1MiB live, 49.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 x)
cost-diff0
(/.f64 (fma.f64 (neg.f64 x) y (*.f64 z y)) t)
cost-diff128
(+.f64 x (/.f64 (fma.f64 (neg.f64 x) y (*.f64 z y)) t))
cost-diff320
(fma.f64 (neg.f64 x) y (*.f64 z y))
cost-diff0
(-.f64 z x)
cost-diff0
(/.f64 (-.f64 z x) t)
cost-diff0
(fma.f64 (/.f64 (-.f64 z x) t) y x)
cost-diff0
(-.f64 z x)
cost-diff0
(*.f64 (-.f64 z x) y)
cost-diff0
(/.f64 (*.f64 (-.f64 z x) y) t)
cost-diff0
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 (-.f64 z x) y) t))
cost-diff0
(*.f64 z y)
cost-diff0
(/.f64 (*.f64 z y) t)
cost-diff0
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t))
cost-diff0
(-.f64 z x)
cost-diff0
(/.f64 y t)
cost-diff0
(fma.f64 (/.f64 y t) (-.f64 z x) x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023136
039127
161127
288127
3157127
4271127
5423127
6707127
71151127
82160127
92376127
102416127
112433127
122434127
132434127
02434127
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 (/.f64 y t) (-.f64 z x) x)
(/.f64 y t)
y
t
(-.f64 z x)
z
x
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t))
(/.f64 (*.f64 z y) t)
(*.f64 z y)
z
y
t
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 (-.f64 z x) y) t))
(/.f64 (*.f64 (-.f64 z x) y) t)
(*.f64 (-.f64 z x) y)
(-.f64 z x)
z
x
y
t
(fma.f64 (/.f64 (-.f64 z x) t) y x)
(/.f64 (-.f64 z x) t)
(-.f64 z x)
z
x
t
y
(+.f64 x (/.f64 (fma.f64 (neg.f64 x) y (*.f64 z y)) t))
x
(/.f64 (fma.f64 (neg.f64 x) y (*.f64 z y)) t)
(fma.f64 (neg.f64 x) y (*.f64 z y))
(neg.f64 x)
y
(*.f64 z y)
z
t
Outputs
(fma.f64 (-.f64 z x) (/.f64 y t) x)
(/.f64 y t)
y
t
(-.f64 z x)
z
x
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 z (/.f64 y t)))
(*.f64 z (/.f64 y t))
(*.f64 z y)
z
y
t
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 (-.f64 z x) t) y))
(*.f64 (/.f64 (-.f64 z x) t) y)
(*.f64 (-.f64 z x) y)
(-.f64 z x)
z
x
y
t
(fma.f64 (-.f64 z x) (/.f64 y t) x)
(/.f64 (-.f64 z x) t)
(-.f64 z x)
z
x
t
y
(fma.f64 (-.f64 z x) (/.f64 y t) x)
x
(*.f64 (/.f64 (-.f64 z x) t) y)
(*.f64 (-.f64 z x) y)
(neg.f64 x)
y
(*.f64 z y)
z
t

localize72.0ms (0.9%)

Memory
0.8MiB live, 115.0MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0
(neg.f64 x)
accuracy0.01171875
(+.f64 x (/.f64 (fma.f64 (neg.f64 x) y (*.f64 z y)) t))
accuracy0.2539034976055602
(fma.f64 (neg.f64 x) y (*.f64 z y))
accuracy3.5520279072441876
(/.f64 (fma.f64 (neg.f64 x) y (*.f64 z y)) t)
accuracy0
(-.f64 z x)
accuracy0.0078125
(/.f64 (-.f64 z x) t)
accuracy4.317856481105094
(fma.f64 (/.f64 (-.f64 z x) t) y x)
accuracy0
(-.f64 z x)
accuracy0.015625
(*.f64 (-.f64 z x) y)
accuracy3.5520279072441876
(/.f64 (*.f64 (-.f64 z x) y) t)
accuracy26.018535391014552
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 (-.f64 z x) y) t))
accuracy0
(*.f64 z y)
accuracy4.180396594537698
(/.f64 (*.f64 z y) t)
accuracy38.28134391690202
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t))
accuracy0
(/.f64 y t)
accuracy0
(-.f64 z x)
accuracy2.0716667822927466
(fma.f64 (/.f64 y t) (-.f64 z x) x)
Samples
54.0ms256×0valid
Compiler

Compiled 265 to 48 computations (81.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-div: 10.0ms (33.2% of total)
ival-mult: 9.0ms (29.8% of total)
ival-add: 8.0ms (26.5% of total)
ival-sub: 1.0ms (3.3% of total)
ival-neg: 1.0ms (3.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series56.0ms (0.7%)

Memory
1.7MiB live, 87.0MiB allocated
Counts
15 → 564
Calls
Call 1
Inputs
#s(alt #<batchref> (patch (fma.f64 (/.f64 y t) (-.f64 z x) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 y t) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 z x) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (*.f64 z y) t) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 z y) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 (-.f64 z x) y) t)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (*.f64 (-.f64 z x) y) t) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (-.f64 z x) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (/.f64 (-.f64 z x) t) y x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (-.f64 z x) t) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (neg.f64 x) y (*.f64 z y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 x (/.f64 (fma.f64 (neg.f64 x) y (*.f64 z y)) t)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (fma.f64 (neg.f64 x) y (*.f64 z y)) t) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 x) #<representation binary64>) () ())
Outputs
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (fma.f64 (/.f64 y t) (-.f64 z x) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (fma.f64 (/.f64 y t) (-.f64 z x) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (fma.f64 (/.f64 y t) (-.f64 z x) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (fma.f64 (/.f64 y t) (-.f64 z x) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 y t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 y t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 y t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 y t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 (*.f64 z y) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 (*.f64 z y) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 (*.f64 z y) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 (*.f64 z y) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 (-.f64 z x) y) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 (-.f64 z x) y) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 (-.f64 z x) y) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 (-.f64 z x) y) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 (*.f64 (-.f64 z x) y) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 (*.f64 (-.f64 z x) y) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 (*.f64 (-.f64 z x) y) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 (*.f64 (-.f64 z x) y) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (fma.f64 (/.f64 (-.f64 z x) t) y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (fma.f64 (/.f64 (-.f64 z x) t) y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (fma.f64 (/.f64 (-.f64 z x) t) y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (fma.f64 (/.f64 (-.f64 z x) t) y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 (-.f64 z x) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 (-.f64 z x) t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 (-.f64 z x) t) #<representation binary64>) () ())) ())
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Calls

12 calls:

TimeVariablePointExpression
13.0ms
x
@inf
((+ (* (/ y t) (- z x)) x) (/ y t) (- z x) (+ x (/ (* y (- z x)) t)) (/ (* z y) t) (* z y) (+ x (/ (* y (- z x)) t)) (/ (* (- z x) y) t) (* (- z x) y) (+ (* (/ (- z x) t) y) x) (/ (- z x) t) (+ (* (neg x) y) (* z y)) (+ x (/ (+ (* (neg x) y) (* z y)) t)) (/ (+ (* (neg x) y) (* z y)) t) (neg x))
5.0ms
y
@0
((+ (* (/ y t) (- z x)) x) (/ y t) (- z x) (+ x (/ (* y (- z x)) t)) (/ (* z y) t) (* z y) (+ x (/ (* y (- z x)) t)) (/ (* (- z x) y) t) (* (- z x) y) (+ (* (/ (- z x) t) y) x) (/ (- z x) t) (+ (* (neg x) y) (* z y)) (+ x (/ (+ (* (neg x) y) (* z y)) t)) (/ (+ (* (neg x) y) (* z y)) t) (neg x))
4.0ms
t
@-inf
((+ (* (/ y t) (- z x)) x) (/ y t) (- z x) (+ x (/ (* y (- z x)) t)) (/ (* z y) t) (* z y) (+ x (/ (* y (- z x)) t)) (/ (* (- z x) y) t) (* (- z x) y) (+ (* (/ (- z x) t) y) x) (/ (- z x) t) (+ (* (neg x) y) (* z y)) (+ x (/ (+ (* (neg x) y) (* z y)) t)) (/ (+ (* (neg x) y) (* z y)) t) (neg x))
3.0ms
y
@-inf
((+ (* (/ y t) (- z x)) x) (/ y t) (- z x) (+ x (/ (* y (- z x)) t)) (/ (* z y) t) (* z y) (+ x (/ (* y (- z x)) t)) (/ (* (- z x) y) t) (* (- z x) y) (+ (* (/ (- z x) t) y) x) (/ (- z x) t) (+ (* (neg x) y) (* z y)) (+ x (/ (+ (* (neg x) y) (* z y)) t)) (/ (+ (* (neg x) y) (* z y)) t) (neg x))
3.0ms
t
@0
((+ (* (/ y t) (- z x)) x) (/ y t) (- z x) (+ x (/ (* y (- z x)) t)) (/ (* z y) t) (* z y) (+ x (/ (* y (- z x)) t)) (/ (* (- z x) y) t) (* (- z x) y) (+ (* (/ (- z x) t) y) x) (/ (- z x) t) (+ (* (neg x) y) (* z y)) (+ x (/ (+ (* (neg x) y) (* z y)) t)) (/ (+ (* (neg x) y) (* z y)) t) (neg x))

simplify139.0ms (1.8%)

Memory
17.7MiB live, 127.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01453543
14863528
215243528
342753528
464143528
081503348
Stop Event
iter limit
node limit
Counts
564 → 546
Calls
Call 1
Inputs
(/ (* y (- z x)) t)
(/ (+ (* t x) (* y (- z x))) t)
(/ (+ (* t x) (* y (- z x))) t)
(/ (+ (* t x) (* y (- z x))) t)
(/ y t)
(/ y t)
(/ y t)
(/ y t)
(/ (* y (- z x)) t)
(/ (+ (* t x) (* y (- z x))) t)
(/ (+ (* t x) (* y (- z x))) t)
(/ (+ (* t x) (* y (- z x))) t)
(/ (* y z) t)
(/ (* y z) t)
(/ (* y z) t)
(/ (* y z) t)
(/ (* y (- z x)) t)
(/ (+ (* t x) (* y (- z x))) t)
(/ (+ (* t x) (* y (- z x))) t)
(/ (+ (* t x) (* y (- z x))) t)
(/ (* y (- z x)) t)
(/ (* y (- z x)) t)
(/ (* y (- z x)) t)
(/ (* y (- z x)) t)
(/ (* y (- z x)) t)
(/ (+ (* t x) (* y (- z x))) t)
(/ (+ (* t x) (* y (- z x))) t)
(/ (+ (* t x) (* y (- z x))) t)
(/ (- z x) t)
(/ (- z x) t)
(/ (- z x) t)
(/ (- z x) t)
(/ (+ (* -1 (* x y)) (* y z)) t)
(/ (+ (* -1 (* x y)) (+ (* t x) (* y z))) t)
(/ (+ (* -1 (* x y)) (+ (* t x) (* y z))) t)
(/ (+ (* -1 (* x y)) (+ (* t x) (* y z))) t)
(/ (+ (* -1 (* x y)) (* y z)) t)
(/ (+ (* -1 (* x y)) (* y z)) t)
(/ (+ (* -1 (* x y)) (* y z)) t)
(/ (+ (* -1 (* x y)) (* y z)) t)
x
(+ x (/ (* y (- z x)) t))
(+ x (/ (* y (- z x)) t))
(+ x (/ (* y (- z x)) t))
(/ y t)
(/ y t)
(/ y t)
(/ y t)
x
(+ x (/ (* y (- z x)) t))
(+ x (/ (* y (- z x)) t))
(+ x (/ (* y (- z x)) t))
(/ (* y z) t)
(/ (* y z) t)
(/ (* y z) t)
(/ (* y z) t)
x
(+ x (/ (* y (- z x)) t))
(+ x (/ (* y (- z x)) t))
(+ x (/ (* y (- z x)) t))
(/ (* y (- z x)) t)
(/ (* y (- z x)) t)
(/ (* y (- z x)) t)
(/ (* y (- z x)) t)
x
(+ x (/ (* y (- z x)) t))
(+ x (/ (* y (- z x)) t))
(+ x (/ (* y (- z x)) t))
(/ (- z x) t)
(/ (- z x) t)
(/ (- z x) t)
(/ (- z x) t)
x
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t)))
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t)))
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t)))
(/ (+ (* -1 (* x y)) (* y z)) t)
(/ (+ (* -1 (* x y)) (* y z)) t)
(/ (+ (* -1 (* x y)) (* y z)) t)
(/ (+ (* -1 (* x y)) (* y z)) t)
x
(+ x (/ (* y (- z x)) t))
(+ x (/ (* y (- z x)) t))
(+ x (/ (* y (- z x)) t))
(/ y t)
(/ y t)
(/ y t)
(/ y t)
x
(+ x (/ (* y (- z x)) t))
(+ x (/ (* y (- z x)) t))
(+ x (/ (* y (- z x)) t))
(/ (* y z) t)
(/ (* y z) t)
(/ (* y z) t)
(/ (* y z) t)
x
(+ x (/ (* y (- z x)) t))
(+ x (/ (* y (- z x)) t))
(+ x (/ (* y (- z x)) t))
(/ (* y (- z x)) t)
(/ (* y (- z x)) t)
(/ (* y (- z x)) t)
(/ (* y (- z x)) t)
x
(+ x (/ (* y (- z x)) t))
(+ x (/ (* y (- z x)) t))
(+ x (/ (* y (- z x)) t))
(/ (- z x) t)
(/ (- z x) t)
(/ (- z x) t)
(/ (- z x) t)
x
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t)))
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t)))
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t)))
(/ (+ (* -1 (* x y)) (* y z)) t)
(/ (+ (* -1 (* x y)) (* y z)) t)
(/ (+ (* -1 (* x y)) (* y z)) t)
(/ (+ (* -1 (* x y)) (* y z)) t)
(+ x (* -1 (/ (* x y) t)))
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t)))
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t)))
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t)))
(* -1 x)
(- z x)
(- z x)
(- z x)
(+ x (* -1 (/ (* x y) t)))
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t)))
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t)))
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t)))
(/ (* y z) t)
(/ (* y z) t)
(/ (* y z) t)
(/ (* y z) t)
(* y z)
(* y z)
(* y z)
(* y z)
(+ x (* -1 (/ (* x y) t)))
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t)))
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t)))
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t)))
(* -1 (/ (* x y) t))
(+ (* -1 (/ (* x y) t)) (/ (* y z) t))
(+ (* -1 (/ (* x y) t)) (/ (* y z) t))
(+ (* -1 (/ (* x y) t)) (/ (* y z) t))
(* -1 (* x y))
(+ (* -1 (* x y)) (* y z))
(+ (* -1 (* x y)) (* y z))
(+ (* -1 (* x y)) (* y z))
(+ x (* -1 (/ (* x y) t)))
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t)))
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t)))
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t)))
(* -1 (/ x t))
(+ (* -1 (/ x t)) (/ z t))
(+ (* -1 (/ x t)) (/ z t))
(+ (* -1 (/ x t)) (/ z t))
(* -1 (* x y))
(+ (* -1 (* x y)) (* y z))
(+ (* -1 (* x y)) (* y z))
(+ (* -1 (* x y)) (* y z))
(+ x (* -1 (/ (* x y) t)))
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t)))
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t)))
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t)))
(* -1 (/ (* x y) t))
(+ (* -1 (/ (* x y) t)) (/ (* y z) t))
(+ (* -1 (/ (* x y) t)) (/ (* y z) t))
(+ (* -1 (/ (* x y) t)) (/ (* y z) t))
(/ (* y z) t)
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t))))
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t))))
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t))))
z
(* z (+ 1 (* -1 (/ x z))))
(* z (+ 1 (* -1 (/ x z))))
(* z (+ 1 (* -1 (/ x z))))
(/ (* y z) t)
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t))))
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t))))
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t))))
(/ (* y z) t)
(/ (* y z) t)
(/ (* y z) t)
(/ (* y z) t)
(* y z)
(* y z)
(* y z)
(* y z)
(/ (* y z) t)
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t))))
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t))))
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t))))
(/ (* y z) t)
(* z (+ (* -1 (/ (* x y) (* t z))) (/ y t)))
(* z (+ (* -1 (/ (* x y) (* t z))) (/ y t)))
(* z (+ (* -1 (/ (* x y) (* t z))) (/ y t)))
(* y z)
(* z (+ y (* -1 (/ (* x y) z))))
(* z (+ y (* -1 (/ (* x y) z))))
(* z (+ y (* -1 (/ (* x y) z))))
(/ (* y z) t)
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t))))
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t))))
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t))))
(/ z t)
(* z (+ (* -1 (/ x (* t z))) (/ 1 t)))
(* z (+ (* -1 (/ x (* t z))) (/ 1 t)))
(* z (+ (* -1 (/ x (* t z))) (/ 1 t)))
(* y z)
(* z (+ y (* -1 (/ (* x y) z))))
(* z (+ y (* -1 (/ (* x y) z))))
(* z (+ y (* -1 (/ (* x y) z))))
(/ (* y z) t)
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t))))
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t))))
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t))))
(/ (* y z) t)
(* z (+ (* -1 (/ (* x y) (* t z))) (/ y t)))
(* z (+ (* -1 (/ (* x y) (* t z))) (/ y t)))
(* z (+ (* -1 (/ (* x y) (* t z))) (/ y t)))
(/ (* y z) t)
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z)))))
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z)))))
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z)))))
z
(* -1 (* z (- (/ x z) 1)))
(* -1 (* z (- (/ x z) 1)))
(* -1 (* z (- (/ x z) 1)))
(/ (* y z) t)
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z)))))
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z)))))
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z)))))
(/ (* y z) t)
(/ (* y z) t)
(/ (* y z) t)
(/ (* y z) t)
(* y z)
(* y z)
(* y z)
(* y z)
(/ (* y z) t)
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z)))))
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z)))))
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z)))))
(/ (* y z) t)
(* -1 (* z (+ (* -1 (/ y t)) (/ (* x y) (* t z)))))
(* -1 (* z (+ (* -1 (/ y t)) (/ (* x y) (* t z)))))
(* -1 (* z (+ (* -1 (/ y t)) (/ (* x y) (* t z)))))
(* y z)
(* -1 (* z (+ (* -1 y) (/ (* x y) z))))
(* -1 (* z (+ (* -1 y) (/ (* x y) z))))
(* -1 (* z (+ (* -1 y) (/ (* x y) z))))
(/ (* y z) t)
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z)))))
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z)))))
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z)))))
(/ z t)
(* -1 (* z (- (/ x (* t z)) (/ 1 t))))
(* -1 (* z (- (/ x (* t z)) (/ 1 t))))
(* -1 (* z (- (/ x (* t z)) (/ 1 t))))
(* y z)
(* -1 (* z (+ (* -1 y) (/ (* x y) z))))
(* -1 (* z (+ (* -1 y) (/ (* x y) z))))
(* -1 (* z (+ (* -1 y) (/ (* x y) z))))
(/ (* y z) t)
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z)))))
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z)))))
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z)))))
(/ (* y z) t)
(* -1 (* z (+ (* -1 (/ y t)) (/ (* x y) (* t z)))))
(* -1 (* z (+ (* -1 (/ y t)) (/ (* x y) (* t z)))))
(* -1 (* z (+ (* -1 (/ y t)) (/ (* x y) (* t z)))))
x
(+ x (* y (- (/ z t) (/ x t))))
(+ x (* y (- (/ z t) (/ x t))))
(+ x (* y (- (/ z t) (/ x t))))
(/ y t)
(/ y t)
(/ y t)
(/ y t)
x
(+ x (* y (- (/ z t) (/ x t))))
(+ x (* y (- (/ z t) (/ x t))))
(+ x (* y (- (/ z t) (/ x t))))
(/ (* y z) t)
(/ (* y z) t)
(/ (* y z) t)
(/ (* y z) t)
(* y z)
(* y z)
(* y z)
(* y z)
x
(+ x (* y (- (/ z t) (/ x t))))
(+ x (* y (- (/ z t) (/ x t))))
(+ x (* y (- (/ z t) (/ x t))))
(/ (* y (- z x)) t)
(/ (* y (- z x)) t)
(/ (* y (- z x)) t)
(/ (* y (- z x)) t)
(* y (- z x))
(* y (- z x))
(* y (- z x))
(* y (- z x))
x
(+ x (* y (- (/ z t) (/ x t))))
(+ x (* y (- (/ z t) (/ x t))))
(+ x (* y (- (/ z t) (/ x t))))
(* y (+ z (* -1 x)))
(* y (+ z (* -1 x)))
(* y (+ z (* -1 x)))
(* y (+ z (* -1 x)))
x
(+ x (* y (+ (* -1 (/ x t)) (/ z t))))
(+ x (* y (+ (* -1 (/ x t)) (/ z t))))
(+ x (* y (+ (* -1 (/ x t)) (/ z t))))
(/ (* y (+ z (* -1 x))) t)
(/ (* y (+ z (* -1 x))) t)
(/ (* y (+ z (* -1 x))) t)
(/ (* y (+ z (* -1 x))) t)
(* y (- (/ z t) (/ x t)))
(* y (- (+ (/ x y) (/ z t)) (/ x t)))
(* y (- (+ (/ x y) (/ z t)) (/ x t)))
(* y (- (+ (/ x y) (/ z t)) (/ x t)))
(/ y t)
(/ y t)
(/ y t)
(/ y t)
(* y (- (/ z t) (/ x t)))
(* y (- (+ (/ x y) (/ z t)) (/ x t)))
(* y (- (+ (/ x y) (/ z t)) (/ x t)))
(* y (- (+ (/ x y) (/ z t)) (/ x t)))
(/ (* y z) t)
(/ (* y z) t)
(/ (* y z) t)
(/ (* y z) t)
(* y z)
(* y z)
(* y z)
(* y z)
(* y (- (/ z t) (/ x t)))
(* y (- (+ (/ x y) (/ z t)) (/ x t)))
(* y (- (+ (/ x y) (/ z t)) (/ x t)))
(* y (- (+ (/ x y) (/ z t)) (/ x t)))
(/ (* y (- z x)) t)
(/ (* y (- z x)) t)
(/ (* y (- z x)) t)
(/ (* y (- z x)) t)
(* y (- z x))
(* y (- z x))
(* y (- z x))
(* y (- z x))
(* y (- (/ z t) (/ x t)))
(* y (- (+ (/ x y) (/ z t)) (/ x t)))
(* y (- (+ (/ x y) (/ z t)) (/ x t)))
(* y (- (+ (/ x y) (/ z t)) (/ x t)))
(* y (+ z (* -1 x)))
(* y (+ z (* -1 x)))
(* y (+ z (* -1 x)))
(* y (+ z (* -1 x)))
(* y (+ (* -1 (/ x t)) (/ z t)))
(* y (+ (* -1 (/ x t)) (+ (/ x y) (/ z t))))
(* y (+ (* -1 (/ x t)) (+ (/ x y) (/ z t))))
(* y (+ (* -1 (/ x t)) (+ (/ x y) (/ z t))))
(/ (* y (+ z (* -1 x))) t)
(/ (* y (+ z (* -1 x))) t)
(/ (* y (+ z (* -1 x))) t)
(/ (* y (+ z (* -1 x))) t)
(/ (* y (- z x)) t)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (- z x) t)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (- z x) t)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (- z x) t)))))
(/ y t)
(/ y t)
(/ y t)
(/ y t)
(/ (* y (- z x)) t)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (- z x) t)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (- z x) t)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (- z x) t)))))
(/ (* y z) t)
(/ (* y z) t)
(/ (* y z) t)
(/ (* y z) t)
(* y z)
(* y z)
(* y z)
(* y z)
(/ (* y (- z x)) t)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (- z x) t)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (- z x) t)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (- z x) t)))))
(/ (* y (- z x)) t)
(/ (* y (- z x)) t)
(/ (* y (- z x)) t)
(/ (* y (- z x)) t)
(* y (- z x))
(* y (- z x))
(* y (- z x))
(* y (- z x))
(/ (* y (- z x)) t)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (- z x) t)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (- z x) t)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (- z x) t)))))
(* -1 (* y (+ x (* -1 z))))
(* -1 (* y (+ x (* -1 z))))
(* -1 (* y (+ x (* -1 z))))
(* -1 (* y (+ x (* -1 z))))
(* -1 (* y (+ (* -1 (/ z t)) (/ x t))))
(* -1 (* y (+ (* -1 (/ x y)) (+ (* -1 (/ z t)) (/ x t)))))
(* -1 (* y (+ (* -1 (/ x y)) (+ (* -1 (/ z t)) (/ x t)))))
(* -1 (* y (+ (* -1 (/ x y)) (+ (* -1 (/ z t)) (/ x t)))))
(* -1 (/ (* y (+ x (* -1 z))) t))
(* -1 (/ (* y (+ x (* -1 z))) t))
(* -1 (/ (* y (+ x (* -1 z))) t))
(* -1 (/ (* y (+ x (* -1 z))) t))
(/ (* y z) t)
(+ (* x (+ 1 (* -1 (/ y t)))) (/ (* y z) t))
(+ (* x (+ 1 (* -1 (/ y t)))) (/ (* y z) t))
(+ (* x (+ 1 (* -1 (/ y t)))) (/ (* y z) t))
z
(+ z (* -1 x))
(+ z (* -1 x))
(+ z (* -1 x))
(/ (* y z) t)
(+ (* x (+ 1 (* -1 (/ y t)))) (/ (* y z) t))
(+ (* x (+ 1 (* -1 (/ y t)))) (/ (* y z) t))
(+ (* x (+ 1 (* -1 (/ y t)))) (/ (* y z) t))
(/ (* y z) t)
(+ (* x (+ 1 (* -1 (/ y t)))) (/ (* y z) t))
(+ (* x (+ 1 (* -1 (/ y t)))) (/ (* y z) t))
(+ (* x (+ 1 (* -1 (/ y t)))) (/ (* y z) t))
(/ (* y z) t)
(+ (* -1 (/ (* x y) t)) (/ (* y z) t))
(+ (* -1 (/ (* x y) t)) (/ (* y z) t))
(+ (* -1 (/ (* x y) t)) (/ (* y z) t))
(* y z)
(+ (* -1 (* x y)) (* y z))
(+ (* -1 (* x y)) (* y z))
(+ (* -1 (* x y)) (* y z))
(/ (* y z) t)
(+ (* x (+ 1 (* -1 (/ y t)))) (/ (* y z) t))
(+ (* x (+ 1 (* -1 (/ y t)))) (/ (* y z) t))
(+ (* x (+ 1 (* -1 (/ y t)))) (/ (* y z) t))
(/ z t)
(+ (* -1 (/ x t)) (/ z t))
(+ (* -1 (/ x t)) (/ z t))
(+ (* -1 (/ x t)) (/ z t))
(* y z)
(+ (* -1 (* x y)) (* y z))
(+ (* -1 (* x y)) (* y z))
(+ (* -1 (* x y)) (* y z))
(/ (* y z) t)
(+ (* x (+ 1 (* -1 (/ y t)))) (/ (* y z) t))
(+ (* x (+ 1 (* -1 (/ y t)))) (/ (* y z) t))
(+ (* x (+ 1 (* -1 (/ y t)))) (/ (* y z) t))
(/ (* y z) t)
(+ (* -1 (/ (* x y) t)) (/ (* y z) t))
(+ (* -1 (/ (* x y) t)) (/ (* y z) t))
(+ (* -1 (/ (* x y) t)) (/ (* y z) t))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* x (+ 1 (* -1 (/ y t))))
(* x (+ 1 (+ (* -1 (/ y t)) (/ (* y z) (* t x)))))
(* x (+ 1 (+ (* -1 (/ y t)) (/ (* y z) (* t x)))))
(* x (+ 1 (+ (* -1 (/ y t)) (/ (* y z) (* t x)))))
(* -1 x)
(* x (- (/ z x) 1))
(* x (- (/ z x) 1))
(* x (- (/ z x) 1))
(* x (+ 1 (* -1 (/ y t))))
(* x (+ 1 (+ (* -1 (/ y t)) (/ (* y z) (* t x)))))
(* x (+ 1 (+ (* -1 (/ y t)) (/ (* y z) (* t x)))))
(* x (+ 1 (+ (* -1 (/ y t)) (/ (* y z) (* t x)))))
(* x (+ 1 (* -1 (/ y t))))
(* x (+ 1 (+ (* -1 (/ y t)) (/ (* y z) (* t x)))))
(* x (+ 1 (+ (* -1 (/ y t)) (/ (* y z) (* t x)))))
(* x (+ 1 (+ (* -1 (/ y t)) (/ (* y z) (* t x)))))
(* -1 (/ (* x y) t))
(* x (+ (* -1 (/ y t)) (/ (* y z) (* t x))))
(* x (+ (* -1 (/ y t)) (/ (* y z) (* t x))))
(* x (+ (* -1 (/ y t)) (/ (* y z) (* t x))))
(* -1 (* x y))
(* x (+ (* -1 y) (/ (* y z) x)))
(* x (+ (* -1 y) (/ (* y z) x)))
(* x (+ (* -1 y) (/ (* y z) x)))
(* x (+ 1 (* -1 (/ y t))))
(* x (+ 1 (+ (* -1 (/ y t)) (/ (* y z) (* t x)))))
(* x (+ 1 (+ (* -1 (/ y t)) (/ (* y z) (* t x)))))
(* x (+ 1 (+ (* -1 (/ y t)) (/ (* y z) (* t x)))))
(* -1 (/ x t))
(* x (- (/ z (* t x)) (/ 1 t)))
(* x (- (/ z (* t x)) (/ 1 t)))
(* x (- (/ z (* t x)) (/ 1 t)))
(* -1 (* x y))
(* x (+ (* -1 y) (/ (* y z) x)))
(* x (+ (* -1 y) (/ (* y z) x)))
(* x (+ (* -1 y) (/ (* y z) x)))
(* x (+ 1 (* -1 (/ y t))))
(* x (+ 1 (+ (* -1 (/ y t)) (/ (* y z) (* t x)))))
(* x (+ 1 (+ (* -1 (/ y t)) (/ (* y z) (* t x)))))
(* x (+ 1 (+ (* -1 (/ y t)) (/ (* y z) (* t x)))))
(* -1 (/ (* x y) t))
(* x (+ (* -1 (/ y t)) (/ (* y z) (* t x))))
(* x (+ (* -1 (/ y t)) (/ (* y z) (* t x))))
(* x (+ (* -1 (/ y t)) (/ (* y z) (* t x))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 (* x (- (/ y t) 1)))
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(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ y t)) 1)))
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(* -1 x)
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(* -1 (/ (* x y) t))
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(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ y t))))
(* -1 (* x y))
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rewrite358.0ms (4.7%)

Memory
-11.3MiB live, 237.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023108
03999
116799
2122199
0868299
Stop Event
iter limit
node limit
iter limit
Counts
15 → 1 203
Calls
Call 1
Inputs
(fma.f64 (/.f64 y t) (-.f64 z x) x)
(/.f64 y t)
(-.f64 z x)
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t))
(/.f64 (*.f64 z y) t)
(*.f64 z y)
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 (-.f64 z x) y) t))
(/.f64 (*.f64 (-.f64 z x) y) t)
(*.f64 (-.f64 z x) y)
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(fma.f64 (neg.f64 x) y (*.f64 z y))
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(/.f64 (fma.f64 (neg.f64 x) y (*.f64 z y)) t)
(neg.f64 x)
Outputs
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eval513.0ms (6.8%)

Memory
14.8MiB live, 435.3MiB allocated
Compiler

Compiled 43 366 to 2 702 computations (93.8% saved)

prune93.0ms (1.2%)

Memory
-23.3MiB live, 226.1MiB allocated
Pruning

16 alts after pruning (13 fresh and 3 done)

PrunedKeptTotal
New1 941131 954
Fresh707
Picked235
Done000
Total1 950161 966
Accuracy
100.0%
Counts
1 966 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.8%
(fma.f64 (/.f64 y t) (-.f64 z x) x)
64.8%
(fma.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)) x)
75.9%
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x)
77.8%
(+.f64 x (/.f64 #s(approx (+ (* (neg x) y) (* z y)) (*.f64 z y)) t))
85.5%
#s(approx (+ (* (/ (- z x) t) y) x) (/.f64 (fma.f64 (-.f64 z x) y (*.f64 x t)) t))
39.7%
#s(approx (+ (* (/ (- z x) t) y) x) (*.f64 (/.f64 y t) z))
55.5%
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (fma.f64 (neg.f64 y) x (*.f64 z y)) t))
56.7%
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (-.f64 z x) (/.f64 t y)))
55.9%
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 (-.f64 z x) y) t))
41.0%
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 (*.f64 (+.f64 x z) (-.f64 z x)) y) (*.f64 (+.f64 x z) t)))
24.0%
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 #s(approx (- z x) (neg.f64 x)) y) t))
37.8%
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t))
39.8%
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 z (/.f64 t y)))
56.7%
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) (-.f64 z x)))
36.0%
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 y (/.f64 z t)))
24.1%
#s(approx (+ x (/ (* y (- z x)) t)) #s(approx (/ (* (- z x) y) t) (*.f64 (neg.f64 y) (/.f64 x t))))
Compiler

Compiled 492 to 342 computations (30.5% saved)

simplify230.0ms (3%)

Memory
13.9MiB live, 96.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
037219
052213
188204
2122204
3197204
4339204
5579204
61092202
71885202
83579202
94576202
104964202
115183202
125204202
135207202
145793202
156961202
167385202
177453202
187607202
197611202
207772202
217906202
08060196
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ (* (/ (- z x) t) y) x) (/.f64 (fma.f64 (-.f64 z x) y (*.f64 x t)) t))
(/.f64 (fma.f64 (-.f64 z x) y (*.f64 x t)) t)
(fma.f64 (-.f64 z x) y (*.f64 x t))
(-.f64 z x)
z
x
y
(*.f64 x t)
t
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 y (/.f64 z t)))
(*.f64 y (/.f64 z t))
y
(/.f64 z t)
z
t
#s(approx (+ x (/ (* y (- z x)) t)) #s(approx (/ (* (- z x) y) t) (*.f64 (neg.f64 y) (/.f64 x t))))
#s(approx (/ (* (- z x) y) t) (*.f64 (neg.f64 y) (/.f64 x t)))
(*.f64 (neg.f64 y) (/.f64 x t))
(neg.f64 y)
y
(/.f64 x t)
x
t
(+.f64 x (/.f64 #s(approx (+ (* (neg x) y) (* z y)) (*.f64 z y)) t))
x
(/.f64 #s(approx (+ (* (neg x) y) (* z y)) (*.f64 z y)) t)
#s(approx (+ (* (neg x) y) (* z y)) (*.f64 z y))
(*.f64 z y)
z
y
t
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (fma.f64 (neg.f64 y) x (*.f64 z y)) t))
(/.f64 (fma.f64 (neg.f64 y) x (*.f64 z y)) t)
(fma.f64 (neg.f64 y) x (*.f64 z y))
(neg.f64 y)
y
x
(*.f64 z y)
z
t
Outputs
#s(approx (+ (* (/ (- z x) t) y) x) (fma.f64 y (/.f64 (-.f64 z x) t) x))
(fma.f64 y (/.f64 (-.f64 z x) t) x)
(fma.f64 y (-.f64 z x) (*.f64 t x))
(-.f64 z x)
z
x
y
(*.f64 t x)
t
#s(approx (+ (* (/ (- z x) t) y) x) (*.f64 (/.f64 z t) y))
(*.f64 (/.f64 z t) y)
y
(/.f64 z t)
z
t
#s(approx (+ (* (/ (- z x) t) y) x) #s(approx (/ (* (- z x) y) t) (*.f64 (/.f64 (neg.f64 y) t) x)))
#s(approx (/ (* (- z x) y) t) (*.f64 (/.f64 (neg.f64 y) t) x))
(*.f64 (/.f64 (neg.f64 y) t) x)
(neg.f64 y)
y
(/.f64 x t)
x
t
(+.f64 (/.f64 #s(approx (+ (* (neg x) y) (* z y)) (*.f64 y z)) t) x)
x
(/.f64 #s(approx (+ (* (neg x) y) (* z y)) (*.f64 y z)) t)
#s(approx (+ (* (neg x) y) (* z y)) (*.f64 y z))
(*.f64 y z)
z
y
t
#s(approx (+ (* (/ (- z x) t) y) x) (*.f64 y (/.f64 (-.f64 z x) t)))
(*.f64 y (/.f64 (-.f64 z x) t))
(*.f64 y (-.f64 z x))
(neg.f64 y)
y
x
(*.f64 y z)
z
t

localize260.0ms (3.4%)

Memory
-13.2MiB live, 145.9MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0
(neg.f64 y)
accuracy0.2539034976055602
(fma.f64 (neg.f64 y) x (*.f64 z y))
accuracy3.5520279072441876
(/.f64 (fma.f64 (neg.f64 y) x (*.f64 z y)) t)
accuracy26.018535391014552
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (fma.f64 (neg.f64 y) x (*.f64 z y)) t))
accuracy0
(*.f64 z y)
accuracy0.01171875
(+.f64 x (/.f64 #s(approx (+ (* (neg x) y) (* z y)) (*.f64 z y)) t))
accuracy3.5520279072441876
(/.f64 #s(approx (+ (* (neg x) y) (* z y)) (*.f64 z y)) t)
accuracy29.896021070545697
#s(approx (+ (* (neg x) y) (* z y)) (*.f64 z y))
accuracy0
(neg.f64 y)
accuracy4.103745327383906
(*.f64 (neg.f64 y) (/.f64 x t))
accuracy26.018535391014552
#s(approx (+ x (/ (* y (- z x)) t)) #s(approx (/ (* (- z x) y) t) (*.f64 (neg.f64 y) (/.f64 x t))))
accuracy28.406626361769995
#s(approx (/ (* (- z x) y) t) (*.f64 (neg.f64 y) (/.f64 x t)))
accuracy0
(/.f64 z t)
accuracy6.179540747473995
(*.f64 y (/.f64 z t))
accuracy38.28134391690202
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 y (/.f64 z t)))
accuracy0
(*.f64 x t)
accuracy0
#s(approx (+ (* (/ (- z x) t) y) x) (/.f64 (fma.f64 (-.f64 z x) y (*.f64 x t)) t))
accuracy0.015625
(fma.f64 (-.f64 z x) y (*.f64 x t))
accuracy9.294854445261668
(/.f64 (fma.f64 (-.f64 z x) y (*.f64 x t)) t)
Samples
111.0ms256×0valid
Compiler

Compiled 383 to 69 computations (82% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-div: 13.0ms (36.1% of total)
ival-mult: 13.0ms (36.1% of total)
ival-add: 6.0ms (16.6% of total)
ival-neg: 2.0ms (5.5% of total)
ival-sub: 1.0ms (2.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series122.0ms (1.6%)

Memory
-12.6MiB live, 104.5MiB allocated
Counts
19 → 732
Calls
Call 1
Inputs
#s(alt #<batchref> (patch (/.f64 (fma.f64 (-.f64 z x) y (*.f64 x t)) t) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (/ (- z x) t) y) x) (/.f64 (fma.f64 (-.f64 z x) y (*.f64 x t)) t)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (-.f64 z x) y (*.f64 x t)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 z x) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ x (/ (* y (- z x)) t)) (*.f64 y (/.f64 z t))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 y (/.f64 z t)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 z t) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ x (/ (* y (- z x)) t)) #s(approx (/ (* (- z x) y) t) (*.f64 (neg.f64 y) (/.f64 x t)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (* (- z x) y) t) (*.f64 (neg.f64 y) (/.f64 x t))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (neg.f64 y) (/.f64 x t)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 x (/.f64 #s(approx (+ (* (neg x) y) (* z y)) (*.f64 z y)) t)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(approx (+ (* (neg x) y) (* z y)) (*.f64 z y)) t) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (neg x) y) (* z y)) (*.f64 z y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 z y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (neg.f64 y) x (*.f64 z y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (fma.f64 (neg.f64 y) x (*.f64 z y)) t)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (fma.f64 (neg.f64 y) x (*.f64 z y)) t) #<representation binary64>) () ())
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Outputs
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Calls

12 calls:

TimeVariablePointExpression
26.0ms
z
@inf
((/ (+ (* (- z x) y) (* x t)) t) (+ (* (/ (- z x) t) y) x) (+ (* (- z x) y) (* x t)) (- z x) (+ x (/ (* y (- z x)) t)) (* y (/ z t)) (/ z t) (+ x (/ (* y (- z x)) t)) (/ (* (- z x) y) t) (* (neg y) (/ x t)) (neg y) (+ x (/ (+ (* (neg x) y) (* z y)) t)) (/ (+ (* (neg x) y) (* z y)) t) (+ (* (neg x) y) (* z y)) (* z y) (+ (* (neg y) x) (* z y)) (+ x (/ (* y (- z x)) t)) (/ (+ (* (neg y) x) (* z y)) t) (* x t))
3.0ms
t
@-inf
((/ (+ (* (- z x) y) (* x t)) t) (+ (* (/ (- z x) t) y) x) (+ (* (- z x) y) (* x t)) (- z x) (+ x (/ (* y (- z x)) t)) (* y (/ z t)) (/ z t) (+ x (/ (* y (- z x)) t)) (/ (* (- z x) y) t) (* (neg y) (/ x t)) (neg y) (+ x (/ (+ (* (neg x) y) (* z y)) t)) (/ (+ (* (neg x) y) (* z y)) t) (+ (* (neg x) y) (* z y)) (* z y) (+ (* (neg y) x) (* z y)) (+ x (/ (* y (- z x)) t)) (/ (+ (* (neg y) x) (* z y)) t) (* x t))
3.0ms
z
@-inf
((/ (+ (* (- z x) y) (* x t)) t) (+ (* (/ (- z x) t) y) x) (+ (* (- z x) y) (* x t)) (- z x) (+ x (/ (* y (- z x)) t)) (* y (/ z t)) (/ z t) (+ x (/ (* y (- z x)) t)) (/ (* (- z x) y) t) (* (neg y) (/ x t)) (neg y) (+ x (/ (+ (* (neg x) y) (* z y)) t)) (/ (+ (* (neg x) y) (* z y)) t) (+ (* (neg x) y) (* z y)) (* z y) (+ (* (neg y) x) (* z y)) (+ x (/ (* y (- z x)) t)) (/ (+ (* (neg y) x) (* z y)) t) (* x t))
3.0ms
y
@-inf
((/ (+ (* (- z x) y) (* x t)) t) (+ (* (/ (- z x) t) y) x) (+ (* (- z x) y) (* x t)) (- z x) (+ x (/ (* y (- z x)) t)) (* y (/ z t)) (/ z t) (+ x (/ (* y (- z x)) t)) (/ (* (- z x) y) t) (* (neg y) (/ x t)) (neg y) (+ x (/ (+ (* (neg x) y) (* z y)) t)) (/ (+ (* (neg x) y) (* z y)) t) (+ (* (neg x) y) (* z y)) (* z y) (+ (* (neg y) x) (* z y)) (+ x (/ (* y (- z x)) t)) (/ (+ (* (neg y) x) (* z y)) t) (* x t))
2.0ms
t
@inf
((/ (+ (* (- z x) y) (* x t)) t) (+ (* (/ (- z x) t) y) x) (+ (* (- z x) y) (* x t)) (- z x) (+ x (/ (* y (- z x)) t)) (* y (/ z t)) (/ z t) (+ x (/ (* y (- z x)) t)) (/ (* (- z x) y) t) (* (neg y) (/ x t)) (neg y) (+ x (/ (+ (* (neg x) y) (* z y)) t)) (/ (+ (* (neg x) y) (* z y)) t) (+ (* (neg x) y) (* z y)) (* z y) (+ (* (neg y) x) (* z y)) (+ x (/ (* y (- z x)) t)) (/ (+ (* (neg y) x) (* z y)) t) (* x t))

simplify185.0ms (2.4%)

Memory
31.3MiB live, 187.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01744761
16064698
219234698
355994698
082384446
Stop Event
iter limit
node limit
Counts
732 → 711
Calls
Call 1
Inputs
(/ (* y (- z x)) t)
(/ (+ (* t x) (* y (- z x))) t)
(/ (+ (* t x) (* y (- z x))) t)
(/ (+ (* t x) (* y (- z x))) t)
(/ (* y (- z x)) t)
(/ (+ (* t x) (* y (- z x))) t)
(/ (+ (* t x) (* y (- z x))) t)
(/ (+ (* t x) (* y (- z x))) t)
(* y (- z x))
(+ (* t x) (* y (- z x)))
(+ (* t x) (* y (- z x)))
(+ (* t x) (* y (- z x)))
(/ (* y (- z x)) t)
(/ (+ (* t x) (* y (- z x))) t)
(/ (+ (* t x) (* y (- z x))) t)
(/ (+ (* t x) (* y (- z x))) t)
(/ (* y z) t)
(/ (* y z) t)
(/ (* y z) t)
(/ (* y z) t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ (* y (- z x)) t)
(/ (+ (* t x) (* y (- z x))) t)
(/ (+ (* t x) (* y (- z x))) t)
(/ (+ (* t x) (* y (- z x))) t)
(/ (* y (- z x)) t)
(/ (* y (- z x)) t)
(/ (* y (- z x)) t)
(/ (* y (- z x)) t)
(* -1 (/ (* x y) t))
(* -1 (/ (* x y) t))
(* -1 (/ (* x y) t))
(* -1 (/ (* x y) t))
(/ (+ (* -1 (* x y)) (* y z)) t)
(/ (+ (* -1 (* x y)) (+ (* t x) (* y z))) t)
(/ (+ (* -1 (* x y)) (+ (* t x) (* y z))) t)
(/ (+ (* -1 (* x y)) (+ (* t x) (* y z))) t)
(/ (+ (* -1 (* x y)) (* y z)) t)
(/ (+ (* -1 (* x y)) (* y z)) t)
(/ (+ (* -1 (* x y)) (* y z)) t)
(/ (+ (* -1 (* x y)) (* y z)) t)
(/ (* y (- z x)) t)
(/ (+ (* t x) (* y (- z x))) t)
(/ (+ (* t x) (* y (- z x))) t)
(/ (+ (* t x) (* y (- z x))) t)
(/ (+ (* -1 (* x y)) (* y z)) t)
(/ (+ (* -1 (* x y)) (* y z)) t)
(/ (+ (* -1 (* x y)) (* y z)) t)
(/ (+ (* -1 (* x y)) (* y z)) t)
(* t x)
(* t x)
(* t x)
(* t x)
x
(+ x (/ (* y (- z x)) t))
(+ x (/ (* y (- z x)) t))
(+ x (/ (* y (- z x)) t))
x
(+ x (/ (* y (- z x)) t))
(+ x (/ (* y (- z x)) t))
(+ x (/ (* y (- z x)) t))
(* t x)
(* t (+ x (/ (* y (- z x)) t)))
(* t (+ x (/ (* y (- z x)) t)))
(* t (+ x (/ (* y (- z x)) t)))
x
(+ x (/ (* y (- z x)) t))
(+ x (/ (* y (- z x)) t))
(+ x (/ (* y (- z x)) t))
(/ (* y z) t)
(/ (* y z) t)
(/ (* y z) t)
(/ (* y z) t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
x
(+ x (/ (* y (- z x)) t))
(+ x (/ (* y (- z x)) t))
(+ x (/ (* y (- z x)) t))
(/ (* y (- z x)) t)
(/ (* y (- z x)) t)
(/ (* y (- z x)) t)
(/ (* y (- z x)) t)
(* -1 (/ (* x y) t))
(* -1 (/ (* x y) t))
(* -1 (/ (* x y) t))
(* -1 (/ (* x y) t))
x
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t)))
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t)))
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t)))
(/ (+ (* -1 (* x y)) (* y z)) t)
(/ (+ (* -1 (* x y)) (* y z)) t)
(/ (+ (* -1 (* x y)) (* y z)) t)
(/ (+ (* -1 (* x y)) (* y z)) t)
x
(+ x (/ (* y (- z x)) t))
(+ x (/ (* y (- z x)) t))
(+ x (/ (* y (- z x)) t))
(/ (+ (* -1 (* x y)) (* y z)) t)
(/ (+ (* -1 (* x y)) (* y z)) t)
(/ (+ (* -1 (* x y)) (* y z)) t)
(/ (+ (* -1 (* x y)) (* y z)) t)
(* t x)
(* t x)
(* t x)
(* t x)
x
(+ x (/ (* y (- z x)) t))
(+ x (/ (* y (- z x)) t))
(+ x (/ (* y (- z x)) t))
x
(+ x (/ (* y (- z x)) t))
(+ x (/ (* y (- z x)) t))
(+ x (/ (* y (- z x)) t))
(* t x)
(* -1 (* t (+ (* -1 x) (* -1 (/ (* y (- z x)) t)))))
(* -1 (* t (+ (* -1 x) (* -1 (/ (* y (- z x)) t)))))
(* -1 (* t (+ (* -1 x) (* -1 (/ (* y (- z x)) t)))))
x
(+ x (/ (* y (- z x)) t))
(+ x (/ (* y (- z x)) t))
(+ x (/ (* y (- z x)) t))
(/ (* y z) t)
(/ (* y z) t)
(/ (* y z) t)
(/ (* y z) t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
x
(+ x (/ (* y (- z x)) t))
(+ x (/ (* y (- z x)) t))
(+ x (/ (* y (- z x)) t))
(/ (* y (- z x)) t)
(/ (* y (- z x)) t)
(/ (* y (- z x)) t)
(/ (* y (- z x)) t)
(* -1 (/ (* x y) t))
(* -1 (/ (* x y) t))
(* -1 (/ (* x y) t))
(* -1 (/ (* x y) t))
x
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t)))
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t)))
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t)))
(/ (+ (* -1 (* x y)) (* y z)) t)
(/ (+ (* -1 (* x y)) (* y z)) t)
(/ (+ (* -1 (* x y)) (* y z)) t)
(/ (+ (* -1 (* x y)) (* y z)) t)
x
(+ x (/ (* y (- z x)) t))
(+ x (/ (* y (- z x)) t))
(+ x (/ (* y (- z x)) t))
(/ (+ (* -1 (* x y)) (* y z)) t)
(/ (+ (* -1 (* x y)) (* y z)) t)
(/ (+ (* -1 (* x y)) (* y z)) t)
(/ (+ (* -1 (* x y)) (* y z)) t)
(* t x)
(* t x)
(* t x)
(* t x)
(/ (+ (* -1 (* x y)) (* t x)) t)
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t)))
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t)))
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t)))
(+ x (* -1 (/ (* x y) t)))
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t)))
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t)))
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t)))
(+ (* -1 (* x y)) (* t x))
(+ (* -1 (* x y)) (+ (* t x) (* y z)))
(+ (* -1 (* x y)) (+ (* t x) (* y z)))
(+ (* -1 (* x y)) (+ (* t x) (* y z)))
(* -1 x)
(- z x)
(- z x)
(- z x)
(+ x (* -1 (/ (* x y) t)))
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t)))
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t)))
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t)))
(/ (* y z) t)
(/ (* y z) t)
(/ (* y z) t)
(/ (* y z) t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(+ x (* -1 (/ (* x y) t)))
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t)))
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t)))
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t)))
(* -1 (/ (* x y) t))
(+ (* -1 (/ (* x y) t)) (/ (* y z) t))
(+ (* -1 (/ (* x y) t)) (/ (* y z) t))
(+ (* -1 (/ (* x y) t)) (/ (* y z) t))
(+ x (* -1 (/ (* x y) t)))
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t)))
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t)))
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t)))
(* -1 (/ (* x y) t))
(+ (* -1 (/ (* x y) t)) (/ (* y z) t))
(+ (* -1 (/ (* x y) t)) (/ (* y z) t))
(+ (* -1 (/ (* x y) t)) (/ (* y z) t))
(* -1 (* x y))
(+ (* -1 (* x y)) (* y z))
(+ (* -1 (* x y)) (* y z))
(+ (* -1 (* x y)) (* y z))
(* y z)
(* y z)
(* y z)
(* y z)
(* -1 (* x y))
(+ (* -1 (* x y)) (* y z))
(+ (* -1 (* x y)) (* y z))
(+ (* -1 (* x y)) (* y z))
(+ x (* -1 (/ (* x y) t)))
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t)))
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t)))
(+ x (+ (* -1 (/ (* x y) t)) (/ (* y z) t)))
(* -1 (/ (* x y) t))
(+ (* -1 (/ (* x y) t)) (/ (* y z) t))
(+ (* -1 (/ (* x y) t)) (/ (* y z) t))
(+ (* -1 (/ (* x y) t)) (/ (* y z) t))
(/ (* y z) t)
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t))))
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t))))
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t))))
(/ (* y z) t)
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t))))
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t))))
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t))))
(* y z)
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ (* t x) z))))
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ (* t x) z))))
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ (* t x) z))))
z
(* z (+ 1 (* -1 (/ x z))))
(* z (+ 1 (* -1 (/ x z))))
(* z (+ 1 (* -1 (/ x z))))
(/ (* y z) t)
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t))))
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t))))
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t))))
(/ (* y z) t)
(/ (* y z) t)
(/ (* y z) t)
(/ (* y z) t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ (* y z) t)
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t))))
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t))))
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t))))
(/ (* y z) t)
(* z (+ (* -1 (/ (* x y) (* t z))) (/ y t)))
(* z (+ (* -1 (/ (* x y) (* t z))) (/ y t)))
(* z (+ (* -1 (/ (* x y) (* t z))) (/ y t)))
(/ (* y z) t)
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t))))
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t))))
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t))))
(/ (* y z) t)
(* z (+ (* -1 (/ (* x y) (* t z))) (/ y t)))
(* z (+ (* -1 (/ (* x y) (* t z))) (/ y t)))
(* z (+ (* -1 (/ (* x y) (* t z))) (/ y t)))
(* y z)
(* z (+ y (* -1 (/ (* x y) z))))
(* z (+ y (* -1 (/ (* x y) z))))
(* z (+ y (* -1 (/ (* x y) z))))
(* y z)
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(* y z)
(* y z)
(* y z)
(* z (+ y (* -1 (/ (* x y) z))))
(* z (+ y (* -1 (/ (* x y) z))))
(* z (+ y (* -1 (/ (* x y) z))))
(/ (* y z) t)
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t))))
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t))))
(* z (+ (* -1 (/ (* x y) (* t z))) (+ (/ x z) (/ y t))))
(/ (* y z) t)
(* z (+ (* -1 (/ (* x y) (* t z))) (/ y t)))
(* z (+ (* -1 (/ (* x y) (* t z))) (/ y t)))
(* z (+ (* -1 (/ (* x y) (* t z))) (/ y t)))
(/ (* y z) t)
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z)))))
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z)))))
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z)))))
(/ (* y z) t)
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z)))))
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z)))))
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z)))))
(* y z)
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ (* -1 (* x y)) (* t x)) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ (* -1 (* x y)) (* t x)) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ (* -1 (* x y)) (* t x)) z)))))
z
(* -1 (* z (- (/ x z) 1)))
(* -1 (* z (- (/ x z) 1)))
(* -1 (* z (- (/ x z) 1)))
(/ (* y z) t)
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z)))))
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z)))))
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z)))))
(/ (* y z) t)
(/ (* y z) t)
(/ (* y z) t)
(/ (* y z) t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ (* y z) t)
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z)))))
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z)))))
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z)))))
(/ (* y z) t)
(* -1 (* z (+ (* -1 (/ y t)) (/ (* x y) (* t z)))))
(* -1 (* z (+ (* -1 (/ y t)) (/ (* x y) (* t z)))))
(* -1 (* z (+ (* -1 (/ y t)) (/ (* x y) (* t z)))))
(/ (* y z) t)
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z)))))
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z)))))
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z)))))
(/ (* y z) t)
(* -1 (* z (+ (* -1 (/ y t)) (/ (* x y) (* t z)))))
(* -1 (* z (+ (* -1 (/ y t)) (/ (* x y) (* t z)))))
(* -1 (* z (+ (* -1 (/ y t)) (/ (* x y) (* t z)))))
(* y z)
(* -1 (* z (+ (* -1 y) (/ (* x y) z))))
(* -1 (* z (+ (* -1 y) (/ (* x y) z))))
(* -1 (* z (+ (* -1 y) (/ (* x y) z))))
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* -1 (* z (+ (* -1 y) (/ (* x y) z))))
(* -1 (* z (+ (* -1 y) (/ (* x y) z))))
(* -1 (* z (+ (* -1 y) (/ (* x y) z))))
(/ (* y z) t)
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z)))))
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z)))))
(* -1 (* z (+ (* -1 (/ y t)) (* -1 (/ (+ x (* -1 (/ (* x y) t))) z)))))
(/ (* y z) t)
(* -1 (* z (+ (* -1 (/ y t)) (/ (* x y) (* t z)))))
(* -1 (* z (+ (* -1 (/ y t)) (/ (* x y) (* t z)))))
(* -1 (* z (+ (* -1 (/ y t)) (/ (* x y) (* t z)))))
x
(+ x (* y (- (/ z t) (/ x t))))
(+ x (* y (- (/ z t) (/ x t))))
(+ x (* y (- (/ z t) (/ x t))))
x
(+ x (* y (- (/ z t) (/ x t))))
(+ x (* y (- (/ z t) (/ x t))))
(+ x (* y (- (/ z t) (/ x t))))
(* t x)
(+ (* t x) (* y (- z x)))
(+ (* t x) (* y (- z x)))
(+ (* t x) (* y (- z x)))
x
(+ x (* y (- (/ z t) (/ x t))))
(+ x (* y (- (/ z t) (/ x t))))
(+ x (* y (- (/ z t) (/ x t))))
(/ (* y z) t)
(/ (* y z) t)
(/ (* y z) t)
(/ (* y z) t)
x
(+ x (* y (- (/ z t) (/ x t))))
(+ x (* y (- (/ z t) (/ x t))))
(+ x (* y (- (/ z t) (/ x t))))
(/ (* y (- z x)) t)
(/ (* y (- z x)) t)
(/ (* y (- z x)) t)
(/ (* y (- z x)) t)
(* -1 (/ (* x y) t))
(* -1 (/ (* x y) t))
(* -1 (/ (* x y) t))
(* -1 (/ (* x y) t))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
x
(+ x (* y (+ (* -1 (/ x t)) (/ z t))))
(+ x (* y (+ (* -1 (/ x t)) (/ z t))))
(+ x (* y (+ (* -1 (/ x t)) (/ z t))))
(/ (* y (+ z (* -1 x))) t)
(/ (* y (+ z (* -1 x))) t)
(/ (* y (+ z (* -1 x))) t)
(/ (* y (+ z (* -1 x))) t)
(* y (+ z (* -1 x)))
(* y (+ z (* -1 x)))
(* y (+ z (* -1 x)))
(* y (+ z (* -1 x)))
(* y z)
(* y z)
(* y z)
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(* y (+ z (* -1 x)))
(* y (+ z (* -1 x)))
(* y (+ z (* -1 x)))
(* y (+ z (* -1 x)))
x
(+ x (* y (- (/ z t) (/ x t))))
(+ x (* y (- (/ z t) (/ x t))))
(+ x (* y (- (/ z t) (/ x t))))
(/ (* y (+ z (* -1 x))) t)
(/ (* y (+ z (* -1 x))) t)
(/ (* y (+ z (* -1 x))) t)
(/ (* y (+ z (* -1 x))) t)
(/ (* y (- z x)) t)
(* y (- (+ (/ x y) (/ z t)) (/ x t)))
(* y (- (+ (/ x y) (/ z t)) (/ x t)))
(* y (- (+ (/ x y) (/ z t)) (/ x t)))
(* y (- (/ z t) (/ x t)))
(* y (- (+ (/ x y) (/ z t)) (/ x t)))
(* y (- (+ (/ x y) (/ z t)) (/ x t)))
(* y (- (+ (/ x y) (/ z t)) (/ x t)))
(* y (- z x))
(* y (- (+ z (/ (* t x) y)) x))
(* y (- (+ z (/ (* t x) y)) x))
(* y (- (+ z (/ (* t x) y)) x))
(* y (- (/ z t) (/ x t)))
(* y (- (+ (/ x y) (/ z t)) (/ x t)))
(* y (- (+ (/ x y) (/ z t)) (/ x t)))
(* y (- (+ (/ x y) (/ z t)) (/ x t)))
(/ (* y z) t)
(/ (* y z) t)
(/ (* y z) t)
(/ (* y z) t)
(* y (- (/ z t) (/ x t)))
(* y (- (+ (/ x y) (/ z t)) (/ x t)))
(* y (- (+ (/ x y) (/ z t)) (/ x t)))
(* y (- (+ (/ x y) (/ z t)) (/ x t)))
(/ (* y (- z x)) t)
(/ (* y (- z x)) t)
(/ (* y (- z x)) t)
(/ (* y (- z x)) t)
(* -1 (/ (* x y) t))
(* -1 (/ (* x y) t))
(* -1 (/ (* x y) t))
(* -1 (/ (* x y) t))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* y (+ (* -1 (/ x t)) (/ z t)))
(* y (+ (* -1 (/ x t)) (+ (/ x y) (/ z t))))
(* y (+ (* -1 (/ x t)) (+ (/ x y) (/ z t))))
(* y (+ (* -1 (/ x t)) (+ (/ x y) (/ z t))))
(/ (* y (+ z (* -1 x))) t)
(/ (* y (+ z (* -1 x))) t)
(/ (* y (+ z (* -1 x))) t)
(/ (* y (+ z (* -1 x))) t)
(* y (+ z (* -1 x)))
(* y (+ z (* -1 x)))
(* y (+ z (* -1 x)))
(* y (+ z (* -1 x)))
(* y z)
(* y z)
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(* y z)
(* y (+ z (* -1 x)))
(* y (+ z (* -1 x)))
(* y (+ z (* -1 x)))
(* y (+ z (* -1 x)))
(* y (- (/ z t) (/ x t)))
(* y (- (+ (/ x y) (/ z t)) (/ x t)))
(* y (- (+ (/ x y) (/ z t)) (/ x t)))
(* y (- (+ (/ x y) (/ z t)) (/ x t)))
(/ (* y (+ z (* -1 x))) t)
(/ (* y (+ z (* -1 x))) t)
(/ (* y (+ z (* -1 x))) t)
(/ (* y (+ z (* -1 x))) t)
(/ (* y (- z x)) t)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (- z x) t)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (- z x) t)))))
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(*.f64 (/.f64 (-.f64 z x) t) y)
(*.f64 (/.f64 (-.f64 z x) t) y)
(*.f64 (/.f64 (-.f64 z x) t) y)
(*.f64 t x)
(*.f64 t x)
(*.f64 t x)
(*.f64 t x)
(-.f64 x (/.f64 (*.f64 y x) t))
(fma.f64 (/.f64 (-.f64 z x) t) y x)
(fma.f64 (/.f64 (-.f64 z x) t) y x)
(fma.f64 (/.f64 (-.f64 z x) t) y x)
(-.f64 x (/.f64 (*.f64 y x) t))
(fma.f64 (/.f64 (-.f64 z x) t) y x)
(fma.f64 (/.f64 (-.f64 z x) t) y x)
(fma.f64 (/.f64 (-.f64 z x) t) y x)
(*.f64 (-.f64 t y) x)
(fma.f64 (-.f64 t y) x (*.f64 y z))
(fma.f64 (-.f64 t y) x (*.f64 y z))
(fma.f64 (-.f64 t y) x (*.f64 y z))
(neg.f64 x)
(-.f64 z x)
(-.f64 z x)
(-.f64 z x)
(-.f64 x (/.f64 (*.f64 y x) t))
(fma.f64 (/.f64 (-.f64 z x) t) y x)
(fma.f64 (/.f64 (-.f64 z x) t) y x)
(fma.f64 (/.f64 (-.f64 z x) t) y x)
(-.f64 x (/.f64 (*.f64 y x) t))
(fma.f64 (/.f64 (-.f64 z x) t) y x)
(fma.f64 (/.f64 (-.f64 z x) t) y x)
(fma.f64 (/.f64 (-.f64 z x) t) y x)
(*.f64 (/.f64 (neg.f64 x) t) y)
(*.f64 (/.f64 (-.f64 z x) t) y)
(*.f64 (/.f64 (-.f64 z x) t) y)
(*.f64 (/.f64 (-.f64 z x) t) y)
(*.f64 (/.f64 (neg.f64 x) t) y)
(*.f64 (/.f64 (neg.f64 x) t) y)
(*.f64 (/.f64 (neg.f64 x) t) y)
(*.f64 (/.f64 (neg.f64 x) t) y)
(-.f64 x (/.f64 (*.f64 y x) t))
(fma.f64 (/.f64 (-.f64 z x) t) y x)
(fma.f64 (/.f64 (-.f64 z x) t) y x)
(fma.f64 (/.f64 (-.f64 z x) t) y x)
(*.f64 (/.f64 (neg.f64 x) t) y)
(*.f64 (/.f64 (-.f64 z x) t) y)
(*.f64 (/.f64 (-.f64 z x) t) y)
(*.f64 (/.f64 (-.f64 z x) t) y)
(*.f64 (neg.f64 y) x)
(*.f64 (-.f64 z x) y)
(*.f64 (-.f64 z x) y)
(*.f64 (-.f64 z x) y)
(*.f64 (neg.f64 y) x)
(*.f64 (-.f64 z x) y)
(*.f64 (-.f64 z x) y)
(*.f64 (-.f64 z x) y)
(-.f64 x (/.f64 (*.f64 y x) t))
(fma.f64 (/.f64 (-.f64 z x) t) y x)
(fma.f64 (/.f64 (-.f64 z x) t) y x)
(fma.f64 (/.f64 (-.f64 z x) t) y x)
(*.f64 (/.f64 (neg.f64 x) t) y)
(*.f64 (/.f64 (-.f64 z x) t) y)
(*.f64 (/.f64 (-.f64 z x) t) y)
(*.f64 (/.f64 (-.f64 z x) t) y)
(*.f64 t x)
(*.f64 t x)
(*.f64 t x)
(*.f64 t x)

rewrite418.0ms (5.5%)

Memory
-27.7MiB live, 220.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037193
052187
1212178
21597178
08208174
Stop Event
iter limit
node limit
iter limit
Counts
19 → 407
Calls
Call 1
Inputs
(/.f64 (fma.f64 (-.f64 z x) y (*.f64 x t)) t)
#s(approx (+ (* (/ (- z x) t) y) x) (/.f64 (fma.f64 (-.f64 z x) y (*.f64 x t)) t))
(fma.f64 (-.f64 z x) y (*.f64 x t))
(-.f64 z x)
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 y (/.f64 z t)))
(*.f64 y (/.f64 z t))
(/.f64 z t)
#s(approx (+ x (/ (* y (- z x)) t)) #s(approx (/ (* (- z x) y) t) (*.f64 (neg.f64 y) (/.f64 x t))))
#s(approx (/ (* (- z x) y) t) (*.f64 (neg.f64 y) (/.f64 x t)))
(*.f64 (neg.f64 y) (/.f64 x t))
(neg.f64 y)
(+.f64 x (/.f64 #s(approx (+ (* (neg x) y) (* z y)) (*.f64 z y)) t))
(/.f64 #s(approx (+ (* (neg x) y) (* z y)) (*.f64 z y)) t)
#s(approx (+ (* (neg x) y) (* z y)) (*.f64 z y))
(*.f64 z y)
(fma.f64 (neg.f64 y) x (*.f64 z y))
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (fma.f64 (neg.f64 y) x (*.f64 z y)) t))
(/.f64 (fma.f64 (neg.f64 y) x (*.f64 z y)) t)
(*.f64 x t)
Outputs
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eval329.0ms (4.4%)

Memory
25.4MiB live, 252.9MiB allocated
Compiler

Compiled 29 548 to 1 687 computations (94.3% saved)

prune50.0ms (0.7%)

Memory
8.9MiB live, 128.6MiB allocated
Pruning

17 alts after pruning (9 fresh and 8 done)

PrunedKeptTotal
New1 16821 170
Fresh178
Picked055
Done033
Total1 169171 186
Accuracy
100.0%
Counts
1 186 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.8%
(fma.f64 (/.f64 y t) (-.f64 z x) x)
64.8%
(fma.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)) x)
75.9%
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x)
77.8%
(+.f64 x (/.f64 #s(approx (+ (* (neg x) y) (* z y)) (*.f64 z y)) t))
85.5%
#s(approx (+ (* (/ (- z x) t) y) x) (/.f64 (fma.f64 (-.f64 z x) y (*.f64 x t)) t))
31.4%
#s(approx (+ (* (/ (- z x) t) y) x) (/.f64 #s(approx (+ (* (- z x) y) (* x t)) (*.f64 t x)) t))
39.7%
#s(approx (+ (* (/ (- z x) t) y) x) (*.f64 (/.f64 y t) z))
55.5%
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (fma.f64 (neg.f64 y) x (*.f64 z y)) t))
56.7%
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (-.f64 z x) (/.f64 t y)))
55.9%
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 (-.f64 z x) y) t))
41.0%
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 (*.f64 (+.f64 x z) (-.f64 z x)) y) (*.f64 (+.f64 x z) t)))
37.8%
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t))
39.8%
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 z (/.f64 t y)))
56.7%
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) (-.f64 z x)))
36.0%
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 y (/.f64 z t)))
24.1%
#s(approx (+ x (/ (* y (- z x)) t)) #s(approx (/ (* (- z x) y) t) (*.f64 (neg.f64 y) (/.f64 x t))))
25.5%
#s(approx (+ x (/ (* y (- z x)) t)) #s(approx (/ (* (- z x) y) t) (*.f64 x (/.f64 (neg.f64 y) t))))
Compiler

Compiled 456 to 312 computations (31.6% saved)

simplify131.0ms (1.7%)

Memory
2.3MiB live, 40.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 t y)
cost-diff0
(-.f64 z x)
cost-diff0
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (-.f64 z x) (/.f64 t y)))
cost-diff384
(/.f64 (-.f64 z x) (/.f64 t y))
cost-diff0
(neg.f64 x)
cost-diff0
#s(approx (- z x) (neg.f64 x))
cost-diff0
(/.f64 y t)
cost-diff0
(fma.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)) x)
cost-diff0
(/.f64 (neg.f64 y) t)
cost-diff0
(*.f64 x (/.f64 (neg.f64 y) t))
cost-diff0
#s(approx (/ (* (- z x) y) t) (*.f64 x (/.f64 (neg.f64 y) t)))
cost-diff0
#s(approx (+ x (/ (* y (- z x)) t)) #s(approx (/ (* (- z x) y) t) (*.f64 x (/.f64 (neg.f64 y) t))))
cost-diff0
(/.f64 y t)
cost-diff0
(*.f64 (/.f64 y t) z)
cost-diff0
#s(approx (+ (* (/ (- z x) t) y) x) (*.f64 (/.f64 y t) z))
cost-diff0
(/.f64 z t)
cost-diff0
#s(approx (/ (- z x) t) (/.f64 z t))
cost-diff0
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031166
045166
177166
2123166
3202166
4307166
5500166
61040166
72065166
83021166
93756166
104160166
114305166
124315166
134323166
144343166
154351166
164351166
04351163
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x)
#s(approx (/ (- z x) t) (/.f64 z t))
(/.f64 z t)
z
t
y
x
#s(approx (+ (* (/ (- z x) t) y) x) (*.f64 (/.f64 y t) z))
(*.f64 (/.f64 y t) z)
(/.f64 y t)
y
t
z
#s(approx (+ x (/ (* y (- z x)) t)) #s(approx (/ (* (- z x) y) t) (*.f64 x (/.f64 (neg.f64 y) t))))
#s(approx (/ (* (- z x) y) t) (*.f64 x (/.f64 (neg.f64 y) t)))
(*.f64 x (/.f64 (neg.f64 y) t))
x
(/.f64 (neg.f64 y) t)
(neg.f64 y)
y
t
(fma.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)) x)
(/.f64 y t)
y
t
#s(approx (- z x) (neg.f64 x))
(neg.f64 x)
x
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (-.f64 z x) (/.f64 t y)))
(/.f64 (-.f64 z x) (/.f64 t y))
(-.f64 z x)
z
x
(/.f64 t y)
t
y
Outputs
(fma.f64 y #s(approx (/ (- z x) t) (/.f64 z t)) x)
#s(approx (/ (- z x) t) (/.f64 z t))
(/.f64 z t)
z
t
y
x
#s(approx (+ (* (/ (- z x) t) y) x) (*.f64 (/.f64 y t) z))
(*.f64 (/.f64 y t) z)
(/.f64 y t)
y
t
z
#s(approx (+ (* (/ (- z x) t) y) x) #s(approx (/ (* (- z x) y) t) (*.f64 (/.f64 (neg.f64 x) t) y)))
#s(approx (/ (* (- z x) y) t) (*.f64 (/.f64 (neg.f64 x) t) y))
(*.f64 (/.f64 (neg.f64 x) t) y)
x
(/.f64 (neg.f64 y) t)
(neg.f64 y)
y
t
(fma.f64 #s(approx (- z x) (neg.f64 x)) (/.f64 y t) x)
(/.f64 y t)
y
t
#s(approx (- z x) (neg.f64 x))
(neg.f64 x)
x
#s(approx (+ (* (/ (- z x) t) y) x) (*.f64 y (/.f64 (-.f64 z x) t)))
(*.f64 y (/.f64 (-.f64 z x) t))
(-.f64 z x)
z
x
(/.f64 t y)
t
y

localize158.0ms (2.1%)

Memory
-16.1MiB live, 111.8MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 t y)
accuracy0
(-.f64 z x)
accuracy7.32151539913812
(/.f64 (-.f64 z x) (/.f64 t y))
accuracy26.018535391014552
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (-.f64 z x) (/.f64 t y)))
accuracy0
(/.f64 y t)
accuracy0
(neg.f64 x)
accuracy2.0716667822927466
(fma.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)) x)
accuracy31.555257909395976
#s(approx (- z x) (neg.f64 x))
accuracy0
(neg.f64 y)
accuracy6.972535283758361
(*.f64 x (/.f64 (neg.f64 y) t))
accuracy26.018535391014552
#s(approx (+ x (/ (* y (- z x)) t)) #s(approx (/ (* (- z x) y) t) (*.f64 x (/.f64 (neg.f64 y) t))))
accuracy28.406626361769995
#s(approx (/ (* (- z x) y) t) (*.f64 x (/.f64 (neg.f64 y) t)))
accuracy0
(/.f64 y t)
accuracy4.9629891609545265
(*.f64 (/.f64 y t) z)
accuracy38.28134391690202
#s(approx (+ (* (/ (- z x) t) y) x) (*.f64 (/.f64 y t) z))
accuracy0
(/.f64 z t)
accuracy4.317856481105094
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x)
accuracy29.930315988036103
#s(approx (/ (- z x) t) (/.f64 z t))
Samples
129.0ms256×0valid
Compiler

Compiled 286 to 57 computations (80.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-div: 41.0ms (71.8% of total)
ival-mult: 9.0ms (15.8% of total)
ival-add: 3.0ms (5.3% of total)
ival-sub: 2.0ms (3.5% of total)
ival-neg: 2.0ms (3.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series58.0ms (0.8%)

Memory
-6.0MiB live, 75.2MiB allocated
Counts
18 → 612
Calls
Call 1
Inputs
#s(alt #<batchref> (patch (fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (- z x) t) (/.f64 z t)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 z t) #<representation binary64>) () ())
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#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 z x) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (fma.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)) x) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 z x) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (/ (- z x) t) (/.f64 z t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (/ (- z x) t) (/.f64 z t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (/ (- z x) t) (/.f64 z t)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ (* (/ (- z x) t) y) x) (*.f64 (/.f64 y t) z)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ x (/ (* y (- z x)) t)) #s(approx (/ (* (- z x) y) t) (*.f64 x (/.f64 (neg.f64 y) t)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ x (/ (* y (- z x)) t)) #s(approx (/ (* (- z x) y) t) (*.f64 x (/.f64 (neg.f64 y) t)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ x (/ (* y (- z x)) t)) #s(approx (/ (* (- z x) y) t) (*.f64 x (/.f64 (neg.f64 y) t)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (/ (* (- z x) y) t) (*.f64 x (/.f64 (neg.f64 y) t))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (/ (* (- z x) y) t) (*.f64 x (/.f64 (neg.f64 y) t))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (/ (* (- z x) y) t) (*.f64 x (/.f64 (neg.f64 y) t))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x (/.f64 (neg.f64 y) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x (/.f64 (neg.f64 y) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x (/.f64 (neg.f64 y) t)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (- z x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (- z x) (neg.f64 x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (- z x) (neg.f64 x)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (neg.f64 x) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (neg.f64 x) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (-.f64 z x) (/.f64 t y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (-.f64 z x) (/.f64 t y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (-.f64 z x) (/.f64 t y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (-.f64 z x) (/.f64 t y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (-.f64 z x) (/.f64 t y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (-.f64 z x) (/.f64 t y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (-.f64 z x) (/.f64 t y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 z x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 z x) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
17.0ms
z
@-inf
((+ (* (/ (- z x) t) y) x) (/ (- z x) t) (/ z t) (+ (* (/ (- z x) t) y) x) (* (/ y t) z) (/ y t) (+ x (/ (* y (- z x)) t)) (/ (* (- z x) y) t) (* x (/ (neg y) t)) (/ (neg y) t) (+ (* (/ y t) (- z x)) x) (- z x) (neg x) (/ (- z x) (/ t y)) (+ x (/ (* y (- z x)) t)) (- z x) (/ t y) (neg y))
2.0ms
t
@-inf
((+ (* (/ (- z x) t) y) x) (/ (- z x) t) (/ z t) (+ (* (/ (- z x) t) y) x) (* (/ y t) z) (/ y t) (+ x (/ (* y (- z x)) t)) (/ (* (- z x) y) t) (* x (/ (neg y) t)) (/ (neg y) t) (+ (* (/ y t) (- z x)) x) (- z x) (neg x) (/ (- z x) (/ t y)) (+ x (/ (* y (- z x)) t)) (- z x) (/ t y) (neg y))
2.0ms
t
@0
((+ (* (/ (- z x) t) y) x) (/ (- z x) t) (/ z t) (+ (* (/ (- z x) t) y) x) (* (/ y t) z) (/ y t) (+ x (/ (* y (- z x)) t)) (/ (* (- z x) y) t) (* x (/ (neg y) t)) (/ (neg y) t) (+ (* (/ y t) (- z x)) x) (- z x) (neg x) (/ (- z x) (/ t y)) (+ x (/ (* y (- z x)) t)) (- z x) (/ t y) (neg y))
2.0ms
y
@-inf
((+ (* (/ (- z x) t) y) x) (/ (- z x) t) (/ z t) (+ (* (/ (- z x) t) y) x) (* (/ y t) z) (/ y t) (+ x (/ (* y (- z x)) t)) (/ (* (- z x) y) t) (* x (/ (neg y) t)) (/ (neg y) t) (+ (* (/ y t) (- z x)) x) (- z x) (neg x) (/ (- z x) (/ t y)) (+ x (/ (* y (- z x)) t)) (- z x) (/ t y) (neg y))
2.0ms
t
@inf
((+ (* (/ (- z x) t) y) x) (/ (- z x) t) (/ z t) (+ (* (/ (- z x) t) y) x) (* (/ y t) z) (/ y t) (+ x (/ (* y (- z x)) t)) (/ (* (- z x) y) t) (* x (/ (neg y) t)) (/ (neg y) t) (+ (* (/ y t) (- z x)) x) (- z x) (neg x) (/ (- z x) (/ t y)) (+ x (/ (* y (- z x)) t)) (- z x) (/ t y) (neg y))

simplify171.0ms (2.3%)

Memory
-17.2MiB live, 180.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01073672
13353657
211103657
334743657
466193657
081303477
Stop Event
iter limit
node limit
Counts
612 → 591
Calls
Call 1
Inputs
(/ (* y (- z x)) t)
(/ (+ (* t x) (* y (- z x))) t)
(/ (+ (* t x) (* y (- z x))) t)
(/ (+ (* t x) (* y (- z x))) t)
(/ (- z x) t)
(/ (- z x) t)
(/ (- z x) t)
(/ (- z x) t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ (* y (- z x)) t)
(/ (+ (* t x) (* y (- z x))) t)
(/ (+ (* t x) (* y (- z x))) t)
(/ (+ (* t x) (* y (- z x))) t)
(/ (* y z) t)
(/ (* y z) t)
(/ (* y z) t)
(/ (* y z) t)
(/ y t)
(/ y t)
(/ y t)
(/ y t)
(/ (* y (- z x)) t)
(/ (+ (* t x) (* y (- z x))) t)
(/ (+ (* t x) (* y (- z x))) t)
(/ (+ (* t x) (* y (- z x))) t)
(/ (* y (- z x)) t)
(/ (* y (- z x)) t)
(/ (* y (- z x)) t)
(/ (* y (- z x)) t)
(* -1 (/ (* x y) t))
(* -1 (/ (* x y) t))
(* -1 (/ (* x y) t))
(* -1 (/ (* x y) t))
(* -1 (/ y t))
(* -1 (/ y t))
(* -1 (/ y t))
(* -1 (/ y t))
(/ (* y (- z x)) t)
(/ (+ (* t x) (* y (- z x))) t)
(/ (+ (* t x) (* y (- z x))) t)
(/ (+ (* t x) (* y (- z x))) t)
(/ (* y (- z x)) t)
(/ (* y (- z x)) t)
(/ (* y (- z x)) t)
(/ (* y (- z x)) t)
(/ (* y (- z x)) t)
(/ (+ (* t x) (* y (- z x))) t)
(/ (+ (* t x) (* y (- z x))) t)
(/ (+ (* t x) (* y (- z x))) t)
(/ t y)
(/ t y)
(/ t y)
(/ t y)
x
(+ x (/ (* y (- z x)) t))
(+ x (/ (* y (- z x)) t))
(+ x (/ (* y (- z x)) t))
(/ (- z x) t)
(/ (- z x) t)
(/ (- z x) t)
(/ (- z x) t)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
x
(+ x (/ (* y (- z x)) t))
(+ x (/ (* y (- z x)) t))
(+ x (/ (* y (- z x)) t))
(/ (* y z) t)
(/ (* y z) t)
(/ (* y z) t)
(/ (* y z) t)
(/ y t)
(/ y t)
(/ y t)
(/ y t)
x
(+ x (/ (* y (- z x)) t))
(+ x (/ (* y (- z x)) t))
(+ x (/ (* y (- z x)) t))
(/ (* y (- z x)) t)
(/ (* y (- z x)) t)
(/ (* y (- z x)) t)
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Outputs
(*.f64 y (/.f64 (-.f64 z x) t))
(/.f64 (fma.f64 y (-.f64 z x) (*.f64 t x)) t)
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(*.f64 y (/.f64 (-.f64 z x) t))
(*.f64 y (/.f64 (-.f64 z x) t))
(*.f64 (/.f64 (neg.f64 x) t) y)
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(*.f64 (/.f64 (neg.f64 x) t) y)
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(fma.f64 (/.f64 y t) (-.f64 z x) x)
(fma.f64 (/.f64 y t) (-.f64 z x) x)
(fma.f64 (/.f64 y t) (-.f64 z x) x)
(/.f64 (neg.f64 x) t)
(/.f64 (-.f64 z x) t)
(/.f64 (-.f64 z x) t)
(/.f64 (-.f64 z x) t)
(-.f64 x (*.f64 (/.f64 y t) x))
(fma.f64 (/.f64 y t) (-.f64 z x) x)
(fma.f64 (/.f64 y t) (-.f64 z x) x)
(fma.f64 (/.f64 y t) (-.f64 z x) x)
(-.f64 x (*.f64 (/.f64 y t) x))
(fma.f64 (/.f64 y t) (-.f64 z x) x)
(fma.f64 (/.f64 y t) (-.f64 z x) x)
(fma.f64 (/.f64 y t) (-.f64 z x) x)
(*.f64 (/.f64 (neg.f64 x) t) y)
(*.f64 y (/.f64 (-.f64 z x) t))
(*.f64 y (/.f64 (-.f64 z x) t))
(*.f64 y (/.f64 (-.f64 z x) t))
(*.f64 (/.f64 (neg.f64 x) t) y)
(*.f64 (/.f64 (neg.f64 x) t) y)
(*.f64 (/.f64 (neg.f64 x) t) y)
(*.f64 (/.f64 (neg.f64 x) t) y)
(-.f64 x (*.f64 (/.f64 y t) x))
(fma.f64 (/.f64 y t) (-.f64 z x) x)
(fma.f64 (/.f64 y t) (-.f64 z x) x)
(fma.f64 (/.f64 y t) (-.f64 z x) x)
(neg.f64 x)
(-.f64 z x)
(-.f64 z x)
(-.f64 z x)
(neg.f64 x)
(neg.f64 x)
(neg.f64 x)
(neg.f64 x)
(*.f64 (/.f64 (neg.f64 x) t) y)
(*.f64 y (/.f64 (-.f64 z x) t))
(*.f64 y (/.f64 (-.f64 z x) t))
(*.f64 y (/.f64 (-.f64 z x) t))
(-.f64 x (*.f64 (/.f64 y t) x))
(fma.f64 (/.f64 y t) (-.f64 z x) x)
(fma.f64 (/.f64 y t) (-.f64 z x) x)
(fma.f64 (/.f64 y t) (-.f64 z x) x)
(neg.f64 x)
(-.f64 z x)
(-.f64 z x)
(-.f64 z x)
(-.f64 x (*.f64 (/.f64 y t) x))
(fma.f64 (/.f64 y t) (-.f64 z x) x)
(fma.f64 (/.f64 y t) (-.f64 z x) x)
(fma.f64 (/.f64 y t) (-.f64 z x) x)
(/.f64 (neg.f64 x) t)
(/.f64 (-.f64 z x) t)
(/.f64 (-.f64 z x) t)
(/.f64 (-.f64 z x) t)
(-.f64 x (*.f64 (/.f64 y t) x))
(fma.f64 (/.f64 y t) (-.f64 z x) x)
(fma.f64 (/.f64 y t) (-.f64 z x) x)
(fma.f64 (/.f64 y t) (-.f64 z x) x)
(-.f64 x (*.f64 (/.f64 y t) x))
(fma.f64 (/.f64 y t) (-.f64 z x) x)
(fma.f64 (/.f64 y t) (-.f64 z x) x)
(fma.f64 (/.f64 y t) (-.f64 z x) x)
(*.f64 (/.f64 (neg.f64 x) t) y)
(*.f64 y (/.f64 (-.f64 z x) t))
(*.f64 y (/.f64 (-.f64 z x) t))
(*.f64 y (/.f64 (-.f64 z x) t))
(*.f64 (/.f64 (neg.f64 x) t) y)
(*.f64 (/.f64 (neg.f64 x) t) y)
(*.f64 (/.f64 (neg.f64 x) t) y)
(*.f64 (/.f64 (neg.f64 x) t) y)
(-.f64 x (*.f64 (/.f64 y t) x))
(fma.f64 (/.f64 y t) (-.f64 z x) x)
(fma.f64 (/.f64 y t) (-.f64 z x) x)
(fma.f64 (/.f64 y t) (-.f64 z x) x)
(neg.f64 x)
(-.f64 z x)
(-.f64 z x)
(-.f64 z x)
(neg.f64 x)
(neg.f64 x)
(neg.f64 x)
(neg.f64 x)
(*.f64 (/.f64 (neg.f64 x) t) y)
(*.f64 y (/.f64 (-.f64 z x) t))
(*.f64 y (/.f64 (-.f64 z x) t))
(*.f64 y (/.f64 (-.f64 z x) t))
(-.f64 x (*.f64 (/.f64 y t) x))
(fma.f64 (/.f64 y t) (-.f64 z x) x)
(fma.f64 (/.f64 y t) (-.f64 z x) x)
(fma.f64 (/.f64 y t) (-.f64 z x) x)
(neg.f64 x)
(-.f64 z x)
(-.f64 z x)
(-.f64 z x)

rewrite399.0ms (5.3%)

Memory
32.5MiB live, 353.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031146
045146
1174146
21288146
08730143
Stop Event
iter limit
node limit
iter limit
Counts
18 → 600
Calls
Call 1
Inputs
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x)
#s(approx (/ (- z x) t) (/.f64 z t))
(/.f64 z t)
#s(approx (+ (* (/ (- z x) t) y) x) (*.f64 (/.f64 y t) z))
(*.f64 (/.f64 y t) z)
(/.f64 y t)
#s(approx (+ x (/ (* y (- z x)) t)) #s(approx (/ (* (- z x) y) t) (*.f64 x (/.f64 (neg.f64 y) t))))
#s(approx (/ (* (- z x) y) t) (*.f64 x (/.f64 (neg.f64 y) t)))
(*.f64 x (/.f64 (neg.f64 y) t))
(/.f64 (neg.f64 y) t)
(fma.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)) x)
#s(approx (- z x) (neg.f64 x))
(neg.f64 x)
(/.f64 (-.f64 z x) (/.f64 t y))
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (-.f64 z x) (/.f64 t y)))
(-.f64 z x)
(/.f64 t y)
(neg.f64 y)
Outputs
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eval151.0ms (2%)

Memory
7.0MiB live, 475.2MiB allocated
Compiler

Compiled 28 744 to 2 259 computations (92.1% saved)

prune51.0ms (0.7%)

Memory
-20.9MiB live, 147.8MiB allocated
Pruning

17 alts after pruning (5 fresh and 12 done)

PrunedKeptTotal
New1 24921 251
Fresh134
Picked145
Done088
Total1 251171 268
Accuracy
100.0%
Counts
1 268 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.8%
(fma.f64 (/.f64 y t) (-.f64 z x) x)
64.8%
(fma.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)) x)
75.9%
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x)
77.8%
(+.f64 x (/.f64 #s(approx (+ (* (neg x) y) (* z y)) (*.f64 z y)) t))
85.5%
#s(approx (+ (* (/ (- z x) t) y) x) (/.f64 (fma.f64 (-.f64 z x) y (*.f64 x t)) t))
31.4%
#s(approx (+ (* (/ (- z x) t) y) x) (/.f64 #s(approx (+ (* (- z x) y) (* x t)) (*.f64 t x)) t))
39.8%
#s(approx (+ (* (/ (- z x) t) y) x) (/.f64 z (/.f64 t y)))
39.7%
#s(approx (+ (* (/ (- z x) t) y) x) (*.f64 (/.f64 y t) z))
55.5%
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (fma.f64 (neg.f64 y) x (*.f64 z y)) t))
55.9%
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 (-.f64 z x) y) t))
41.0%
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 (*.f64 (+.f64 x z) (-.f64 z x)) y) (*.f64 (+.f64 x z) t)))
37.8%
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t))
25.5%
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 #s(approx (- z x) (neg.f64 x)) (/.f64 t y)))
56.7%
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) (-.f64 z x)))
36.0%
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 y (/.f64 z t)))
24.1%
#s(approx (+ x (/ (* y (- z x)) t)) #s(approx (/ (* (- z x) y) t) (*.f64 (neg.f64 y) (/.f64 x t))))
25.5%
#s(approx (+ x (/ (* y (- z x)) t)) #s(approx (/ (* (- z x) y) t) (*.f64 x (/.f64 (neg.f64 y) t))))
Compiler

Compiled 768 to 317 computations (58.7% saved)

regimes52.0ms (0.7%)

Memory
7.6MiB live, 83.3MiB allocated
Counts
30 → 1
Calls
Call 1
Inputs
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 y (/.f64 z t)))
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t))
#s(approx (+ (* (/ (- z x) t) y) x) (*.f64 (/.f64 y t) z))
#s(approx (+ (* (/ (- z x) t) y) x) (/.f64 #s(approx (+ (* (- z x) y) (* x t)) (*.f64 t x)) t))
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x)
#s(approx (+ x (/ (* y (- z x)) t)) #s(approx (/ (* (- z x) y) t) (*.f64 x (/.f64 (neg.f64 y) t))))
#s(approx (+ x (/ (* y (- z x)) t)) #s(approx (/ (* (- z x) y) t) (*.f64 (neg.f64 y) (/.f64 x t))))
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 #s(approx (- z x) (neg.f64 x)) y) t))
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) (-.f64 z x)))
#s(approx (+ x (/ (* y (- z x)) t)) (-.f64 x (/.f64 (*.f64 y x) t)))
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 (-.f64 z x) y) t))
(+.f64 x (/.f64 #s(approx (* y (- z x)) (*.f64 z y)) t))
(+.f64 x (/.f64 #s(approx (+ (* (neg x) y) (* z y)) (*.f64 z y)) t))
(fma.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)) x)
(fma.f64 (/.f64 y t) (-.f64 z x) x)
(fma.f64 (/.f64 (-.f64 z x) t) y x)
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 z (/.f64 t y)))
#s(approx (+ (* (/ (- z x) t) y) x) (/.f64 z (/.f64 t y)))
(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 #s(approx (- z x) (neg.f64 x)) (/.f64 t y)))
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (fma.f64 (neg.f64 y) x (*.f64 z y)) t))
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (-.f64 z x) (/.f64 t y)))
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (fma.f64 (-.f64 z x) y (*.f64 t x)) t))
#s(approx (+ (* (/ (- z x) t) y) x) (/.f64 (fma.f64 (-.f64 z x) y (*.f64 x t)) t))
(+.f64 x (/.f64 (fma.f64 (neg.f64 x) y (*.f64 z y)) t))
(fma.f64 (-.f64 z x) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) x)
(+.f64 x (/.f64 y (/.f64 t (-.f64 z x))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (-.f64 z x) y))))
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 (*.f64 (+.f64 x z) (-.f64 z x)) y) (*.f64 (+.f64 x z) t)))
(+.f64 x (/.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 z x))) t))
Outputs
(fma.f64 (/.f64 y t) (-.f64 z x) x)
Calls

5 calls:

12.0ms
y
11.0ms
t
9.0ms
z
9.0ms
x
9.0ms
(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
Results
AccuracySegmentsBranch
96.8%1x
96.8%1y
96.8%1z
96.8%1t
96.8%1(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
Compiler

Compiled 13 to 24 computations (-84.6% saved)

regimes30.0ms (0.4%)

Memory
4.7MiB live, 46.7MiB allocated
Counts
14 → 3
Calls
Call 1
Inputs
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 y (/.f64 z t)))
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t))
#s(approx (+ (* (/ (- z x) t) y) x) (*.f64 (/.f64 y t) z))
#s(approx (+ (* (/ (- z x) t) y) x) (/.f64 #s(approx (+ (* (- z x) y) (* x t)) (*.f64 t x)) t))
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x)
#s(approx (+ x (/ (* y (- z x)) t)) #s(approx (/ (* (- z x) y) t) (*.f64 x (/.f64 (neg.f64 y) t))))
#s(approx (+ x (/ (* y (- z x)) t)) #s(approx (/ (* (- z x) y) t) (*.f64 (neg.f64 y) (/.f64 x t))))
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 #s(approx (- z x) (neg.f64 x)) y) t))
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) (-.f64 z x)))
#s(approx (+ x (/ (* y (- z x)) t)) (-.f64 x (/.f64 (*.f64 y x) t)))
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 (-.f64 z x) y) t))
(+.f64 x (/.f64 #s(approx (* y (- z x)) (*.f64 z y)) t))
(+.f64 x (/.f64 #s(approx (+ (* (neg x) y) (* z y)) (*.f64 z y)) t))
(fma.f64 (/.f64 y t) #s(approx (- z x) (neg.f64 x)) x)
Outputs
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x)
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 (-.f64 z x) y) t))
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x)
Calls

5 calls:

9.0ms
z
5.0ms
x
5.0ms
t
5.0ms
(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
5.0ms
y
Results
AccuracySegmentsBranch
86.9%3y
86.3%3x
86.3%3z
87.3%3t
87.0%3(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
Compiler

Compiled 13 to 24 computations (-84.6% saved)

regimes15.0ms (0.2%)

Memory
-15.2MiB live, 23.4MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 y (/.f64 z t)))
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t))
#s(approx (+ (* (/ (- z x) t) y) x) (*.f64 (/.f64 y t) z))
#s(approx (+ (* (/ (- z x) t) y) x) (/.f64 #s(approx (+ (* (- z x) y) (* x t)) (*.f64 t x)) t))
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x)
#s(approx (+ x (/ (* y (- z x)) t)) #s(approx (/ (* (- z x) y) t) (*.f64 x (/.f64 (neg.f64 y) t))))
#s(approx (+ x (/ (* y (- z x)) t)) #s(approx (/ (* (- z x) y) t) (*.f64 (neg.f64 y) (/.f64 x t))))
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 #s(approx (- z x) (neg.f64 x)) y) t))
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) (-.f64 z x)))
#s(approx (+ x (/ (* y (- z x)) t)) (-.f64 x (/.f64 (*.f64 y x) t)))
Outputs
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x)
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) (-.f64 z x)))
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x)
Calls

3 calls:

6.0ms
y
4.0ms
t
4.0ms
(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
Results
AccuracySegmentsBranch
83.4%3y
83.8%3(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
86.7%3t
Compiler

Compiled 11 to 16 computations (-45.5% saved)

regimes20.0ms (0.3%)

Memory
-4.6MiB live, 32.8MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 y (/.f64 z t)))
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t))
#s(approx (+ (* (/ (- z x) t) y) x) (*.f64 (/.f64 y t) z))
#s(approx (+ (* (/ (- z x) t) y) x) (/.f64 #s(approx (+ (* (- z x) y) (* x t)) (*.f64 t x)) t))
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x)
#s(approx (+ x (/ (* y (- z x)) t)) #s(approx (/ (* (- z x) y) t) (*.f64 x (/.f64 (neg.f64 y) t))))
#s(approx (+ x (/ (* y (- z x)) t)) #s(approx (/ (* (- z x) y) t) (*.f64 (neg.f64 y) (/.f64 x t))))
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 #s(approx (- z x) (neg.f64 x)) y) t))
Outputs
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x)
Calls

5 calls:

6.0ms
y
3.0ms
z
3.0ms
t
3.0ms
x
3.0ms
(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
Results
AccuracySegmentsBranch
75.9%1y
75.9%1(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
75.9%1z
75.9%1x
75.9%1t
Compiler

Compiled 13 to 24 computations (-84.6% saved)

regimes12.0ms (0.2%)

Memory
28.0MiB live, 28.0MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 y (/.f64 z t)))
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t))
#s(approx (+ (* (/ (- z x) t) y) x) (*.f64 (/.f64 y t) z))
#s(approx (+ (* (/ (- z x) t) y) x) (/.f64 #s(approx (+ (* (- z x) y) (* x t)) (*.f64 t x)) t))
Outputs
#s(approx (+ (* (/ (- z x) t) y) x) (*.f64 (/.f64 y t) z))
#s(approx (+ (* (/ (- z x) t) y) x) (/.f64 #s(approx (+ (* (- z x) y) (* x t)) (*.f64 t x)) t))
#s(approx (+ (* (/ (- z x) t) y) x) (*.f64 (/.f64 y t) z))
Calls

5 calls:

2.0ms
x
2.0ms
y
2.0ms
z
2.0ms
t
2.0ms
(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
Results
AccuracySegmentsBranch
49.8%4x
50.2%3z
52.9%5t
49.5%3(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
49.8%3y
Compiler

Compiled 13 to 24 computations (-84.6% saved)

regimes12.0ms (0.2%)

Memory
-9.0MiB live, 30.0MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 y (/.f64 z t)))
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t))
#s(approx (+ (* (/ (- z x) t) y) x) (*.f64 (/.f64 y t) z))
Outputs
#s(approx (+ (* (/ (- z x) t) y) x) (*.f64 (/.f64 y t) z))
Calls

5 calls:

3.0ms
t
2.0ms
y
2.0ms
z
2.0ms
x
2.0ms
(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
Results
AccuracySegmentsBranch
39.7%1x
39.7%1(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
39.7%1y
39.7%1t
39.7%1z
Compiler

Compiled 13 to 24 computations (-84.6% saved)

regimes11.0ms (0.1%)

Memory
-11.0MiB live, 31.9MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 y (/.f64 z t)))
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t))
Outputs
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t))
Calls

5 calls:

4.0ms
y
2.0ms
(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
2.0ms
x
2.0ms
t
2.0ms
z
Results
AccuracySegmentsBranch
37.8%1(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
37.8%1y
37.8%1x
37.8%1t
37.8%1z
Compiler

Compiled 13 to 24 computations (-84.6% saved)

regimes7.0ms (0.1%)

Memory
22.6MiB live, 22.6MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

5 calls:

1.0ms
z
1.0ms
t
1.0ms
x
1.0ms
y
1.0ms
(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
Results
AccuracySegmentsBranch
36.0%1(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
36.0%1y
36.0%1x
36.0%1t
36.0%1z
Compiler

Compiled 13 to 24 computations (-84.6% saved)

bsearch30.0ms (0.4%)

Memory
-30.3MiB live, 47.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
5.559342510757895e-125
1.5615233714181728e-113
12.0ms
-8.587334838038049e-107
-6.14527371423772e-110
Samples
15.0ms288×0valid
Compiler

Compiled 534 to 429 computations (19.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sub: 2.0ms (27.6% of total)
ival-div: 2.0ms (27.6% of total)
ival-mult: 2.0ms (27.6% of total)
ival-add: 1.0ms (13.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch16.0ms (0.2%)

Memory
22.0MiB live, 22.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
5.559342510757895e-125
1.5615233714181728e-113
14.0ms
-3.704720729781616e-134
-4.77217252888685e-149
Samples
8.0ms160×0valid
Compiler

Compiled 592 to 475 computations (19.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-sub: 1.0ms (25.7% of total)
ival-div: 1.0ms (25.7% of total)
ival-add: 1.0ms (25.7% of total)
ival-mult: 1.0ms (25.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch29.0ms (0.4%)

Memory
-4.7MiB live, 31.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
18.0ms
5.224248349100735e+44
2.3411788254815548e+55
9.0ms
-1.0537645892918836e-169
-1.6360548826125953e-170
Samples
17.0ms256×0valid
Compiler

Compiled 652 to 463 computations (29% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 6.0ms (56.2% of total)
ival-div: 2.0ms (18.7% of total)
ival-sub: 1.0ms (9.4% of total)
ival-add: 1.0ms (9.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify28.0ms (0.4%)

Memory
0.8MiB live, 41.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052226
160226
265226
367226
468226
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (/.f64 y t) (-.f64 z x) x)
(if (<=.f64 t #s(literal -5618975734717113/165263992197562149737978827008192759957101170741070304821162198818601447809077836456297302609928821211897803006255839576064 binary64)) (fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) (if (<=.f64 t #s(literal 5372047532359079/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728 binary64)) #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 (-.f64 z x) y) t)) (fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x)))
(if (<=.f64 t #s(literal -7037789806976705/1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688 binary64)) (fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) (if (<=.f64 t #s(literal 5372047532359079/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728 binary64)) #s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 y t) (-.f64 z x))) (fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x)))
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x)
(if (<=.f64 z #s(literal -3569247311728675/33992831540273094316133645219357992149093959534530043084764424844825827831094543535306400144974674282808917087119776064982181077609773263322209278641061590524405201333465166018030600192 binary64)) #s(approx (+ (* (/ (- z x) t) y) x) (*.f64 (/.f64 y t) z)) (if (<=.f64 z #s(literal 1800000000000000072868299344085546223474727053441368064 binary64)) #s(approx (+ (* (/ (- z x) t) y) x) (/.f64 #s(approx (+ (* (- z x) y) (* x t)) (*.f64 t x)) t)) #s(approx (+ (* (/ (- z x) t) y) x) (*.f64 (/.f64 y t) z))))
#s(approx (+ (* (/ (- z x) t) y) x) (*.f64 (/.f64 y t) z))
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t))
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 y (/.f64 z t)))
Outputs
(fma.f64 (/.f64 y t) (-.f64 z x) x)
(if (<=.f64 t #s(literal -5618975734717113/165263992197562149737978827008192759957101170741070304821162198818601447809077836456297302609928821211897803006255839576064 binary64)) (fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) (if (<=.f64 t #s(literal 5372047532359079/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728 binary64)) #s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 (-.f64 z x) y) t)) (fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x)))
(if (<=.f64 t #s(literal -7037789806976705/1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688 binary64)) (fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x) (if (<=.f64 t #s(literal 5372047532359079/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728 binary64)) #s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (-.f64 z x) (/.f64 y t))) (fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x)))
(fma.f64 #s(approx (/ (- z x) t) (/.f64 z t)) y x)
(if (<=.f64 z #s(literal -3569247311728675/33992831540273094316133645219357992149093959534530043084764424844825827831094543535306400144974674282808917087119776064982181077609773263322209278641061590524405201333465166018030600192 binary64)) #s(approx (+ (* (/ (- z x) t) y) x) (*.f64 z (/.f64 y t))) (if (<=.f64 z #s(literal 1800000000000000072868299344085546223474727053441368064 binary64)) #s(approx (+ (* (/ (- z x) t) y) x) (/.f64 #s(approx (+ (* (- z x) y) (* x t)) (*.f64 x t)) t)) #s(approx (+ (* (/ (- z x) t) y) x) (*.f64 z (/.f64 y t)))))
#s(approx (+ (* (/ (- z x) t) y) x) (*.f64 z (/.f64 y t)))
#s(approx (+ x (/ (* y (- z x)) t)) (/.f64 (*.f64 z y) t))
#s(approx (+ x (/ (* y (- z x)) t)) (*.f64 (/.f64 z t) y))

soundness1.2s (16%)

Memory
19.5MiB live, 602.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023108
03999
116799
2122199
0868299
0105954
1343951
21094951
33344951
46503951
08322915
01744761
16064698
219234698
355994698
082384446
01453543
14863528
215243528
342753528
464143528
081503348
0824
01224
14924
240724
3701324
0817023
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 439 to 213 computations (51.5% saved)

preprocess202.0ms (2.7%)

Memory
4.0MiB live, 86.4MiB allocated
Compiler

Compiled 498 to 140 computations (71.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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