Numeric.AD.Rank1.Halley:findZero from ad-4.2.4

Time bar (total: 9.2s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze226.0ms (2.4%)

Memory
14.3MiB live, 293.9MiB 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
25%25%74.9%0.2%0%0%0%5
25%25%74.9%0.2%0%0%0%6
31.3%31.2%68.6%0.2%0%0%0%7
40.6%40.5%59.3%0.2%0%0%0%8
50%49.9%49.9%0.2%0%0%0%9
50%49.9%49.9%0.2%0%0%0%10
54.7%54.6%45.2%0.2%0%0%0%11
62.5%62.4%37.4%0.2%0%0%0%12
Compiler

Compiled 19 to 15 computations (21.1% saved)

sample2.1s (23.3%)

Memory
9.5MiB live, 1 550.2MiB allocated
Samples
1.2s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 883.0ms
ival-mult: 575.0ms (65.1% of total)
ival-div: 184.0ms (20.8% of total)
ival-sub: 109.0ms (12.3% of total)
ival-true: 7.0ms (0.8% of total)
exact: 5.0ms (0.6% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain198.0ms (2.1%)

Memory
43.5MiB live, 475.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
770-3(3.3261363190373544e-213 2.2115581757338578e-277 -5.76360911880444e-43 -2.1056800411233643e+120)(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))
30-0-(-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))
00-0-(*.f64 y t)
00-0-(*.f64 (*.f64 y #s(literal 2 binary64)) z)
00-0-t
00-0-(*.f64 (*.f64 z #s(literal 2 binary64)) z)
00-0-z
00-0-(*.f64 y #s(literal 2 binary64))
00-0-y
00-0-#s(literal 2 binary64)
00-0-(*.f64 z #s(literal 2 binary64))
00-0-(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))o/o110
(*.f64 (*.f64 y #s(literal 2 binary64)) z)overflow27
(*.f64 y t)overflow28
(-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))overflow79
(*.f64 (*.f64 z #s(literal 2 binary64)) z)overflow59
/.f64(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))o/n60
(*.f64 (*.f64 y #s(literal 2 binary64)) z)overflow27
/.f64(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))u/u50
(*.f64 (*.f64 y #s(literal 2 binary64)) z)underflow36
(*.f64 y t)underflow28
(-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))underflow6
(*.f64 (*.f64 z #s(literal 2 binary64)) z)underflow76
/.f64(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))u/n40
(*.f64 (*.f64 y #s(literal 2 binary64)) z)underflow36
-.f64(-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))nan-rescue30
(*.f64 (*.f64 z #s(literal 2 binary64)) z)overflow59
(*.f64 y t)overflow28
/.f64(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))n/o30
(*.f64 y t)overflow28
(-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))overflow79
(*.f64 (*.f64 z #s(literal 2 binary64)) z)overflow59
Confusion
Predicted +Predicted -
+3012
-0214
Precision
1.0
Recall
0.7142857142857143
Confusion?
Predicted +Predicted MaybePredicted -
+30012
-00214
Precision?
1.0
Recall?
0.7142857142857143
Freqs
test
numberfreq
0226
128
22
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
50.0ms512×0valid
Compiler

Compiled 216 to 56 computations (74.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 15.0ms (55.4% of total)
ival-div: 6.0ms (22.2% of total)
ival-sub: 5.0ms (18.5% of total)
ival-true: 1.0ms (3.7% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess180.0ms (1.9%)

Memory
-22.9MiB live, 94.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070250
1218244
2601238
31943238
44398238
56221238
67521238
77782238
87835238
97870238
01317
02117
13817
28017
319517
439117
568717
6154017
7228617
8246117
9251517
10253817
11254017
12254917
13256117
14258017
15258017
0258015
Stop Event
iter limit
saturated
iter limit
node limit
Calls
Call 1
Inputs
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
Outputs
(fma.f64 (/.f64 (*.f64 z y) (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) #s(literal 2 binary64) x)
Compiler

Compiled 17 to 13 computations (23.5% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
84.1%
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify94.0ms (1%)

Memory
24.6MiB live, 60.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y #s(literal 2 binary64))
cost-diff0
(*.f64 (*.f64 y #s(literal 2 binary64)) z)
cost-diff128
(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))
cost-diff128
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01365
02165
13865
28065
319565
439165
568765
6154065
7228665
8246165
9251565
10253865
11254065
12254965
13256165
14258065
15258065
0258062
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
x
(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))
(*.f64 (*.f64 y #s(literal 2 binary64)) z)
(*.f64 y #s(literal 2 binary64))
y
#s(literal 2 binary64)
z
(-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))
(*.f64 (*.f64 z #s(literal 2 binary64)) z)
(*.f64 z #s(literal 2 binary64))
(*.f64 y t)
t
Outputs
(fma.f64 (/.f64 (*.f64 z y) (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) #s(literal 2 binary64) x)
x
(*.f64 (/.f64 y (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) (*.f64 #s(literal -2 binary64) z))
(*.f64 z (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
y
#s(literal 2 binary64)
z
(fma.f64 (neg.f64 t) y (*.f64 (*.f64 z #s(literal 2 binary64)) z))
(*.f64 (*.f64 z #s(literal 2 binary64)) z)
(*.f64 z #s(literal 2 binary64))
(*.f64 t y)
t

localize40.0ms (0.4%)

Memory
-17.7MiB live, 54.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 y #s(literal 2 binary64))
accuracy0.0078125
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
accuracy0.5976562500000001
(-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))
accuracy17.861490154101684
(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))
Samples
26.0ms256×0valid
Compiler

Compiled 132 to 28 computations (78.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 12.0ms (74.9% of total)
ival-div: 2.0ms (12.5% of total)
ival-sub: 2.0ms (12.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series39.0ms (0.4%)

Memory
14.0MiB live, 52.2MiB allocated
Counts
5 → 156
Calls
Call 1
Inputs
#s(alt #<batchref> (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (*.f64 y #s(literal 2 binary64)) z) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) #<representation binary64>) () ())
Outputs
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf t) (#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf t) (#s(alt #<batchref> (patch (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
16.0ms
y
@-inf
((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (* y 2) z) (* y 2) (- (* (* z 2) z) (* y t)))
3.0ms
y
@0
((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (* y 2) z) (* y 2) (- (* (* z 2) z) (* y t)))
2.0ms
z
@0
((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (* y 2) z) (* y 2) (- (* (* z 2) z) (* y t)))
2.0ms
y
@inf
((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (* y 2) z) (* y 2) (- (* (* z 2) z) (* y t)))
2.0ms
z
@inf
((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (* y 2) z) (* y 2) (- (* (* z 2) z) (* y t)))

simplify204.0ms (2.2%)

Memory
-39.0MiB live, 227.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03472170
110302124
231472097
086451977
Stop Event
iter limit
node limit
Counts
156 → 148
Calls
Call 1
Inputs
(- x (/ y z))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(/ y z)
(+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z))
(+ (* t (+ (* 1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3))))) (/ y z))
(+ (* t (+ (* 1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* 1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))))) (/ y z))
(* 2 (pow z 2))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
x
(+ x (* 2 (/ z t)))
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
(* -2 (/ z t))
(/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t)
(/ (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z))) t)
(/ (+ (* -16 (/ (pow z 7) (* (pow t 3) (pow y 3)))) (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)))) t)
(* -1 (* t y))
(* t (- (* 2 (/ (pow z 2) t)) y))
(* t (- (* 2 (/ (pow z 2) t)) y))
(* t (- (* 2 (/ (pow z 2) t)) y))
x
(+ x (* 2 (/ z t)))
(+ x (* -1 (/ (- (* -4 (/ (pow z 3) (* t y))) (* 2 z)) t)))
(+ x (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t)))
(* -2 (/ z t))
(* -1 (/ (+ (* 2 z) (* 4 (/ (pow z 3) (* t y)))) t))
(* -1 (/ (+ (* -1 (/ (+ (* -8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t))
(* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (pow z 3) y)) (* -1 (/ (+ (* 8 (/ (pow z 5) (pow y 2))) (* 16 (/ (pow z 7) (* t (pow y 3))))) t))) t)) (* 2 z)) t))
(* -1 (* t y))
(* -1 (* t (- (* -2 (/ (pow z 2) t)) (* -1 y))))
(* -1 (* t (- (* -2 (/ (pow z 2) t)) (* -1 y))))
(* -1 (* t (- (* -2 (/ (pow z 2) t)) (* -1 y))))
x
(+ x (* 2 (/ z t)))
(+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t)))))
(+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))))
(* -2 (/ z t))
(* z (- (* -4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t))))
(* z (- (* (pow z 2) (- (* -8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))
(* z (- (* (pow z 2) (- (* (pow z 2) (- (* -16 (/ (pow z 2) (* (pow t 4) (pow y 3)))) (* 8 (/ 1 (* (pow t 3) (pow y 2)))))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* -1 (* t y))
(- (* 2 (pow z 2)) (* t y))
(- (* 2 (pow z 2)) (* t y))
(- (* 2 (pow z 2)) (* t y))
x
(+ x (* -1 (/ y z)))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(- (+ x (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5)))) (+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z)))
(/ y z)
(/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z)
(/ (+ y (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2))))) z)
(/ (+ y (+ (* 1/8 (/ (* (pow t 3) (pow y 4)) (pow z 6))) (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2)))))) z)
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (pow z 2))
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))
x
(+ x (* -1 (/ y z)))
(+ x (* -1 (/ (- (* 1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1 y)) z)))
(+ x (* -1 (/ (- (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2))))) z)))
(/ y z)
(* -1 (/ (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2)))) z))
(* -1 (/ (+ (* -1 y) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))))) z))
(* -1 (/ (+ (* -1 y) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 2))) (+ (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* -1/8 (/ (* (pow t 3) (pow y 4)) (pow z 6)))))) z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (pow z 2))
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2)))))
x
(+ x (* -1 (/ y z)))
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z))))
(+ x (* y (- (* y (- (* -1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z))))
(/ y z)
(* y (+ (* 1/2 (/ (* t y) (pow z 3))) (/ 1 z)))
(* y (+ (* y (+ (* 1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z)))
(* y (+ (* y (+ (* 1/2 (/ t (pow z 3))) (* y (+ (* 1/8 (/ (* (pow t 3) y) (pow z 7))) (* 1/4 (/ (pow t 2) (pow z 5))))))) (/ 1 z)))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 (pow z 2))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(+ (* -1 (* t y)) (* 2 (pow z 2)))
(- x (* -2 (/ z t)))
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
(- (+ x (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))))
(* -2 (/ z t))
(+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))
(+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
(+ (* -16 (/ (pow z 7) (* (pow t 4) (pow y 3)))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* -1 (* t y))
(* y (- (* 2 (/ (pow z 2) y)) t))
(* y (- (* 2 (/ (pow z 2) y)) t))
(* y (- (* 2 (/ (pow z 2) y)) t))
(- x (* -2 (/ z t)))
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(- (+ x (* -1 (/ (- (* -8 (/ (pow z 5) (* (pow t 3) y))) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))
(* -2 (/ z t))
(+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))
(+ (* -2 (/ z t)) (* -1 (/ (+ (* 4 (/ (pow z 3) (pow t 2))) (* 8 (/ (pow z 5) (* (pow t 3) y)))) y)))
(+ (* -2 (/ z t)) (* -1 (/ (+ (* -1 (/ (+ (* -16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y)))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 (* y z))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(* -1 (* t y))
(* -1 (* y (- (* -2 (/ (pow z 2) y)) (* -1 t))))
(* -1 (* y (- (* -2 (/ (pow z 2) y)) (* -1 t))))
(* -1 (* y (- (* -2 (/ (pow z 2) y)) (* -1 t))))
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
x
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
x
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
Outputs
(-.f64 x (/.f64 y z))
(fma.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (-.f64 x (/.f64 y z)))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) t) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) t) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 7 binary64))) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64)) (pow.f64 z #s(literal 5 binary64)))) t (/.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z)))
(/.f64 y z)
(*.f64 (fma.f64 (*.f64 (/.f64 t (pow.f64 z #s(literal 3 binary64))) #s(literal 1/2 binary64)) y (/.f64 #s(literal 1 binary64) z)) y)
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 y (pow.f64 z #s(literal 3 binary64))) (*.f64 (*.f64 t #s(literal 1/4 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))))) t (/.f64 y z))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 t (pow.f64 z #s(literal 7 binary64))) (*.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 z #s(literal 5 binary64))))) t (*.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 y (pow.f64 z #s(literal 3 binary64))))) t (/.f64 y z))
(*.f64 (*.f64 z z) #s(literal 2 binary64))
(fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))
(fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))
(fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))
x
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x)
(-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t))
(-.f64 x (/.f64 (fma.f64 #s(literal -2 binary64) z (/.f64 (fma.f64 (/.f64 #s(literal -8 binary64) (*.f64 y y)) (/.f64 (pow.f64 z #s(literal 5 binary64)) t) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal -4 binary64))) t)) t))
(*.f64 #s(literal -2 binary64) (/.f64 z t))
(/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t)
(/.f64 (fma.f64 (pow.f64 z #s(literal 5 binary64)) (/.f64 #s(literal -8 binary64) (*.f64 (*.f64 (*.f64 t t) y) y)) (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z))) t)
(/.f64 (fma.f64 (/.f64 #s(literal -16 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (pow.f64 z #s(literal 5 binary64)) (/.f64 #s(literal -8 binary64) (*.f64 (*.f64 (*.f64 t t) y) y)) (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)))) t)
(*.f64 (neg.f64 t) y)
(*.f64 (-.f64 (*.f64 (*.f64 z (/.f64 z t)) #s(literal 2 binary64)) y) t)
(*.f64 (-.f64 (*.f64 (*.f64 z (/.f64 z t)) #s(literal 2 binary64)) y) t)
(*.f64 (-.f64 (*.f64 (*.f64 z (/.f64 z t)) #s(literal 2 binary64)) y) t)
x
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x)
(-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t))
(-.f64 x (/.f64 (fma.f64 #s(literal -2 binary64) z (/.f64 (fma.f64 (/.f64 #s(literal -8 binary64) (*.f64 y y)) (/.f64 (pow.f64 z #s(literal 5 binary64)) t) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal -4 binary64))) t)) t))
(*.f64 #s(literal -2 binary64) (/.f64 z t))
(/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t)
(/.f64 (fma.f64 #s(literal -2 binary64) z (/.f64 (fma.f64 (/.f64 #s(literal -8 binary64) (*.f64 y y)) (/.f64 (pow.f64 z #s(literal 5 binary64)) t) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal -4 binary64))) t)) t)
(/.f64 (fma.f64 #s(literal -2 binary64) z (/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal -4 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 7 binary64)) t) (*.f64 (/.f64 #s(literal 8 binary64) y) (/.f64 (pow.f64 z #s(literal 5 binary64)) y))) (neg.f64 t))) t)) t)
(*.f64 (neg.f64 t) y)
(*.f64 (neg.f64 t) (fma.f64 (*.f64 z (/.f64 z t)) #s(literal -2 binary64) y))
(*.f64 (neg.f64 t) (fma.f64 (*.f64 z (/.f64 z t)) #s(literal -2 binary64) y))
(*.f64 (neg.f64 t) (fma.f64 (*.f64 z (/.f64 z t)) #s(literal -2 binary64) y))
x
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x)
(-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t))
(fma.f64 (fma.f64 (*.f64 (/.f64 z (pow.f64 t #s(literal 3 binary64))) (/.f64 z (*.f64 y y))) #s(literal 8 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 t t) y))) (pow.f64 z #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x))
(*.f64 #s(literal -2 binary64) (/.f64 z t))
(/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t)
(*.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 z (pow.f64 t #s(literal 3 binary64))) (/.f64 z (*.f64 y y))) #s(literal -8 binary64) (/.f64 #s(literal -4 binary64) (*.f64 (*.f64 t t) y))) (*.f64 z z) (/.f64 #s(literal -2 binary64) t)) z)
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -16 binary64) (pow.f64 t #s(literal 4 binary64))) (*.f64 z (/.f64 z (pow.f64 y #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal -8 binary64) (pow.f64 t #s(literal 3 binary64))) (*.f64 y y))) (*.f64 z z) (/.f64 #s(literal -4 binary64) (*.f64 (*.f64 t t) y))) (*.f64 z z) (/.f64 #s(literal -2 binary64) t)) z)
(*.f64 (*.f64 z y) #s(literal 2 binary64))
(*.f64 (*.f64 z y) #s(literal 2 binary64))
(*.f64 (*.f64 z y) #s(literal 2 binary64))
(*.f64 (*.f64 z y) #s(literal 2 binary64))
(*.f64 (neg.f64 t) y)
(fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))
(fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))
(fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))
x
(-.f64 x (/.f64 y z))
(fma.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (-.f64 x (/.f64 y z)))
(-.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64)) (*.f64 t (/.f64 t (pow.f64 z #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 y y) #s(literal -1/2 binary64)) (/.f64 t (pow.f64 z #s(literal 3 binary64))) x)) (/.f64 y z))
(/.f64 y z)
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rewrite217.0ms (2.3%)

Memory
15.0MiB live, 237.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01349
02149
17149
254149
3746549
0883146
Stop Event
iter limit
node limit
iter limit
Counts
5 → 400
Calls
Call 1
Inputs
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))
(*.f64 (*.f64 y #s(literal 2 binary64)) z)
(*.f64 y #s(literal 2 binary64))
(-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))
Outputs
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eval119.0ms (1.3%)

Memory
-0.1MiB live, 248.1MiB allocated
Compiler

Compiled 20 472 to 1 573 computations (92.3% saved)

prune13.0ms (0.1%)

Memory
7.9MiB live, 46.9MiB allocated
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New5435548
Fresh000
Picked101
Done000
Total5445549
Accuracy
98.9%
Counts
549 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.6%
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t)))
60.5%
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
64.7%
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t))))
64.6%
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x))
21.7%
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y)))))
Compiler

Compiled 264 to 188 computations (28.8% saved)

simplify306.0ms (3.3%)

Memory
7.1MiB live, 120.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t)
cost-diff0
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t))
cost-diff0
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t)))
cost-diff6144
(fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z))
cost-diff0
(/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y)))
cost-diff0
(*.f64 #s(literal 2 binary64) y)
cost-diff0
(*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))))
cost-diff0
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y)))))
cost-diff0
(/.f64 #s(literal 2 binary64) t)
cost-diff0
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x)
cost-diff0
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x))
cost-diff0
(/.f64 y z)
cost-diff0
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))
cost-diff0
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
cost-diff0
(/.f64 z t)
cost-diff0
(*.f64 #s(literal -2 binary64) (/.f64 z t))
cost-diff0
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))
cost-diff0
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040326
062326
1110326
2193326
3379324
4694324
51291318
62926318
74114318
85481318
95997318
106507318
116804318
127003318
137563318
147744318
157780318
167808318
177828318
187840318
197858318
207912318
217912318
227953318
08040316
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t))))
x
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))
(*.f64 #s(literal -2 binary64) (/.f64 z t))
#s(literal -2 binary64)
(/.f64 z t)
z
t
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
x
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))
(/.f64 y z)
y
z
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x))
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x)
(/.f64 #s(literal 2 binary64) t)
#s(literal 2 binary64)
t
z
x
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y)))))
(*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))))
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
(/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y)))
z
(fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))
(*.f64 #s(literal -2 binary64) z)
#s(literal -2 binary64)
(*.f64 t y)
t
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t)))
x
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t))
(/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t)
(fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z))
(/.f64 #s(literal -4 binary64) t)
#s(literal -4 binary64)
t
(/.f64 (pow.f64 z #s(literal 3 binary64)) y)
(pow.f64 z #s(literal 3 binary64))
z
#s(literal 3 binary64)
y
(*.f64 #s(literal -2 binary64) z)
#s(literal -2 binary64)
Outputs
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 (/.f64 z t) #s(literal -2 binary64))))
x
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 (/.f64 z t) #s(literal -2 binary64)))
(*.f64 (/.f64 z t) #s(literal -2 binary64))
#s(literal -2 binary64)
(/.f64 z t)
z
t
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
x
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))
(/.f64 y z)
y
z
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x))
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x)
(/.f64 #s(literal 2 binary64) t)
#s(literal 2 binary64)
t
z
x
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (/.f64 y (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) (*.f64 z #s(literal 2 binary64))))
(*.f64 (/.f64 y (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) (*.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
(/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y)))
z
(fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))
(*.f64 #s(literal -2 binary64) z)
#s(literal -2 binary64)
(*.f64 t y)
t
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 (/.f64 (fma.f64 (*.f64 (/.f64 z t) z) (/.f64 #s(literal -4 binary64) y) #s(literal -2 binary64)) t) z)))
x
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 (/.f64 (fma.f64 (*.f64 (/.f64 z t) z) (/.f64 #s(literal -4 binary64) y) #s(literal -2 binary64)) t) z))
(*.f64 (/.f64 (fma.f64 (*.f64 (/.f64 z t) z) (/.f64 #s(literal -4 binary64) y) #s(literal -2 binary64)) t) z)
(*.f64 (fma.f64 (*.f64 (/.f64 z t) z) (/.f64 #s(literal -4 binary64) y) #s(literal -2 binary64)) z)
(/.f64 #s(literal -4 binary64) t)
#s(literal -4 binary64)
t
(/.f64 (pow.f64 z #s(literal 3 binary64)) y)
(pow.f64 z #s(literal 3 binary64))
z
#s(literal 3 binary64)
y
(*.f64 #s(literal -2 binary64) z)
#s(literal -2 binary64)

localize115.0ms (1.2%)

Memory
23.7MiB live, 207.5MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy1.6906120361143158
(/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t)
accuracy3.4935448262762163
(fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z))
accuracy5.884952667438516
(/.f64 (pow.f64 z #s(literal 3 binary64)) y)
accuracy29.438920427493578
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t))
accuracy0.7499917428166807
(fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))
accuracy5.747638886433967
(*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))))
accuracy15.350272849853011
(/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y)))
accuracy44.42438741781761
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y)))))
accuracy0
(/.f64 #s(literal 2 binary64) t)
accuracy0.12109375
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x)
accuracy22.60161812163784
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x))
accuracy0
(/.f64 y z)
accuracy0.0078125
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
accuracy33.72919434045912
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))
accuracy0
(/.f64 z t)
accuracy0.0078125
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t))))
accuracy0.0078125
(*.f64 #s(literal -2 binary64) (/.f64 z t))
accuracy29.200490463499904
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))
Samples
85.0ms256×0valid
Compiler

Compiled 588 to 78 computations (86.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-mult: 31.0ms (55.8% of total)
ival-div: 13.0ms (23.4% of total)
ival-pow: 5.0ms (9% of total)
ival-add: 3.0ms (5.4% of total)
ival-sub: 2.0ms (3.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series121.0ms (1.3%)

Memory
-19.9MiB live, 180.4MiB allocated
Counts
20 → 684
Calls
Call 1
Inputs
#s(alt #<batchref> (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 #s(literal -2 binary64) (/.f64 z t)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 z t) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 y z) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (/.f64 #s(literal 2 binary64) t) z x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 2 binary64) t) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (pow.f64 z #s(literal 3 binary64)) y) #<representation binary64>) () ())
Outputs
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (*.f64 #s(literal -2 binary64) (/.f64 z t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (*.f64 #s(literal -2 binary64) (/.f64 z t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (*.f64 #s(literal -2 binary64) (/.f64 z t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (*.f64 #s(literal -2 binary64) (/.f64 z t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 z t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 z t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 z t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (/.f64 z t) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t))) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
37.0ms
t
@inf
((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* -2 (/ z t)) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ y z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (/ 2 t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (* 2 y) (/ z (+ (* (* -2 z) z) (* t y))) (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) t) (+ (* (* -2 z) z) (* t y)) (/ (pow z 3) y))
22.0ms
z
@0
((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* -2 (/ z t)) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ y z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (/ 2 t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (* 2 y) (/ z (+ (* (* -2 z) z) (* t y))) (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) t) (+ (* (* -2 z) z) (* t y)) (/ (pow z 3) y))
5.0ms
y
@0
((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* -2 (/ z t)) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ y z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (/ 2 t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (* 2 y) (/ z (+ (* (* -2 z) z) (* t y))) (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) t) (+ (* (* -2 z) z) (* t y)) (/ (pow z 3) y))
5.0ms
z
@inf
((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* -2 (/ z t)) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ y z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (/ 2 t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (* 2 y) (/ z (+ (* (* -2 z) z) (* t y))) (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) t) (+ (* (* -2 z) z) (* t y)) (/ (pow z 3) y))
4.0ms
z
@-inf
((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* -2 (/ z t)) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ y z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (/ 2 t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (* 2 y) (/ z (+ (* (* -2 z) z) (* t y))) (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) t) (+ (* (* -2 z) z) (* t y)) (/ (pow z 3) y))

simplify324.0ms (3.5%)

Memory
-29.0MiB live, 211.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064410362
1198610185
2619210106
082809535
Stop Event
iter limit
node limit
Counts
684 → 639
Calls
Call 1
Inputs
(- x (/ y z))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(/ y z)
(+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z))
(+ (* t (+ (* 1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3))))) (/ y z))
(+ (* t (+ (* 1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* 1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))))) (/ y z))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(- x (/ y z))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(/ y z)
(+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z))
(+ (* t (+ (* 1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3))))) (/ y z))
(+ (* t (+ (* 1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* 1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))))) (/ y z))
(- x (/ y z))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(* 2 (/ z t))
(/ (+ (* 2 z) (* t x)) t)
(/ (+ (* 2 z) (* t x)) t)
(/ (+ (* 2 z) (* t x)) t)
(/ 2 t)
(/ 2 t)
(/ 2 t)
(/ 2 t)
(- x (/ y z))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(* -1 (/ y z))
(+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3))))
(+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* -1/4 (/ (* t (pow y 3)) (pow z 5))))))
(+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* -1/4 (/ (pow y 3) (pow z 5))) (* -1/8 (/ (* t (pow y 4)) (pow z 7))))))))
(/ -1/2 z)
(- (* -1/4 (/ (* t y) (pow z 3))) (* 1/2 (/ 1 z)))
(- (* t (- (* -1/8 (/ (* t (pow y 2)) (pow z 5))) (* 1/4 (/ y (pow z 3))))) (* 1/2 (/ 1 z)))
(- (* t (- (* t (- (* -1/16 (/ (* t (pow y 3)) (pow z 7))) (* 1/8 (/ (pow y 2) (pow z 5))))) (* 1/4 (/ y (pow z 3))))) (* 1/2 (/ 1 z)))
(* -4 (/ (pow z 3) (* t y)))
(/ (+ (* -4 (/ (pow z 3) y)) (* -2 (* t z))) t)
(/ (+ (* -4 (/ (pow z 3) y)) (* -2 (* t z))) t)
(/ (+ (* -4 (/ (pow z 3) y)) (* -2 (* t z))) t)
(- x (/ y z))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(/ y z)
(+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z))
(+ (* t (+ (* 1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3))))) (/ y z))
(+ (* t (+ (* 1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* 1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))))) (/ y z))
(* -4 (/ (pow z 3) (* (pow t 2) y)))
(/ (+ (* -4 (/ (pow z 3) y)) (* -2 (* t z))) (pow t 2))
(/ (+ (* -4 (/ (pow z 3) y)) (* -2 (* t z))) (pow t 2))
(/ (+ (* -4 (/ (pow z 3) y)) (* -2 (* t z))) (pow t 2))
(* -2 (pow z 2))
(+ (* -2 (pow z 2)) (* t y))
(+ (* -2 (pow z 2)) (* t y))
(+ (* -2 (pow z 2)) (* t y))
x
(+ x (* 2 (/ z t)))
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
(* -2 (/ z t))
(/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t)
(/ (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z))) t)
(/ (+ (* -16 (/ (pow z 7) (* (pow t 3) (pow y 3)))) (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)))) t)
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(/ z t)
(/ z t)
(/ z t)
(/ z t)
x
(+ x (* 2 (/ z t)))
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
(* -2 (/ z t))
(/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t)
(/ (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z))) t)
(/ (+ (* -16 (/ (pow z 7) (* (pow t 3) (pow y 3)))) (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)))) t)
x
(+ x (* 2 (/ z t)))
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
x
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
(/ 2 t)
(/ 2 t)
(/ 2 t)
(/ 2 t)
x
(+ x (* 2 (/ z t)))
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
(* 2 (/ z t))
(/ (+ (* 2 z) (* 4 (/ (pow z 3) (* t y)))) t)
(/ (+ (* 2 z) (+ (* 4 (/ (pow z 3) (* t y))) (* 8 (/ (pow z 5) (* (pow t 2) (pow y 2)))))) t)
(/ (+ (* 2 z) (+ (* 4 (/ (pow z 3) (* t y))) (+ (* 8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (* 16 (/ (pow z 7) (* (pow t 3) (pow y 3))))))) t)
(/ z (* t y))
(/ (+ (* 2 (/ (pow z 3) (* t (pow y 2)))) (/ z y)) t)
(/ (- (+ (* 4 (/ (pow z 5) (* (pow t 2) (pow y 3)))) (/ z y)) (* -2 (/ (pow z 3) (* t (pow y 2))))) t)
(/ (- (+ (* 8 (/ (pow z 7) (* (pow t 3) (pow y 4)))) (/ z y)) (+ (* -4 (/ (pow z 5) (* (pow t 2) (pow y 3)))) (* -2 (/ (pow z 3) (* t (pow y 2)))))) t)
(* -2 z)
(+ (* -4 (/ (pow z 3) (* t y))) (* -2 z))
(+ (* -4 (/ (pow z 3) (* t y))) (* -2 z))
(+ (* -4 (/ (pow z 3) (* t y))) (* -2 z))
x
(+ x (* 2 (/ z t)))
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
(* -2 (/ z t))
(/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t)
(/ (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z))) t)
(/ (+ (* -16 (/ (pow z 7) (* (pow t 3) (pow y 3)))) (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)))) t)
(* -2 (/ z t))
(/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t)
(/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t)
(/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t)
(* t y)
(* t (+ y (* -2 (/ (pow z 2) t))))
(* t (+ y (* -2 (/ (pow z 2) t))))
(* t (+ y (* -2 (/ (pow z 2) t))))
x
(+ x (* 2 (/ z t)))
(+ x (* -1 (/ (- (* -4 (/ (pow z 3) (* t y))) (* 2 z)) t)))
(+ x (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t)))
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(* -1 (/ (+ (* 2 z) (* 4 (/ (pow z 3) (* t y)))) t))
(* -1 (/ (+ (* -1 (/ (+ (* -8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t))
(* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (pow z 3) y)) (* -1 (/ (+ (* 8 (/ (pow z 5) (pow y 2))) (* 16 (/ (pow z 7) (* t (pow y 3))))) t))) t)) (* 2 z)) t))
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(* -2 (/ z t))
(* -2 (/ z t))
(/ z t)
(/ z t)
(/ z t)
(/ z t)
x
(+ x (* 2 (/ z t)))
(+ x (* -1 (/ (- (* -4 (/ (pow z 3) (* t y))) (* 2 z)) t)))
(+ x (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t)))
(* -2 (/ z t))
(* -1 (/ (+ (* 2 z) (* 4 (/ (pow z 3) (* t y)))) t))
(* -1 (/ (+ (* -1 (/ (+ (* -8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t))
(* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (pow z 3) y)) (* -1 (/ (+ (* 8 (/ (pow z 5) (pow y 2))) (* 16 (/ (pow z 7) (* t (pow y 3))))) t))) t)) (* 2 z)) t))
x
(+ x (* 2 (/ z t)))
(+ x (* -1 (/ (- (* -4 (/ (pow z 3) (* t y))) (* 2 z)) t)))
(+ x (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t)))
x
(+ x (* 2 (/ z t)))
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(+ x (* 2 (/ z t)))
(/ 2 t)
(/ 2 t)
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(/ 2 t)
x
(+ x (* 2 (/ z t)))
(+ x (* -1 (/ (- (* -4 (/ (pow z 3) (* t y))) (* 2 z)) t)))
(+ x (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t)))
(* 2 (/ z t))
(* -1 (/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t))
(* -1 (/ (+ (* -2 z) (* -1 (/ (+ (* 4 (/ (pow z 3) y)) (* 8 (/ (pow z 5) (* t (pow y 2))))) t))) t))
(* -1 (/ (+ (* -2 z) (* -1 (/ (+ (* -1 (/ (+ (* -16 (/ (pow z 7) (* t (pow y 3)))) (* -8 (/ (pow z 5) (pow y 2)))) t)) (* 4 (/ (pow z 3) y))) t))) t))
(/ z (* t y))
(* -1 (/ (+ (* -2 (/ (pow z 3) (* t (pow y 2)))) (* -1 (/ z y))) t))
(* -1 (/ (+ (* -1 (/ z y)) (* -1 (/ (- (* 4 (/ (pow z 5) (* t (pow y 3)))) (* -2 (/ (pow z 3) (pow y 2)))) t))) t))
(* -1 (/ (+ (* -1 (/ z y)) (* -1 (/ (- (* -1 (/ (- (* -8 (/ (pow z 7) (* t (pow y 4)))) (* 4 (/ (pow z 5) (pow y 3)))) t)) (* -2 (/ (pow z 3) (pow y 2)))) t))) t))
(* -2 z)
(+ (* -4 (/ (pow z 3) (* t y))) (* -2 z))
(+ (* -4 (/ (pow z 3) (* t y))) (* -2 z))
(+ (* -4 (/ (pow z 3) (* t y))) (* -2 z))
x
(+ x (* 2 (/ z t)))
(+ x (* -1 (/ (- (* -4 (/ (pow z 3) (* t y))) (* 2 z)) t)))
(+ x (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t)))
(* -2 (/ z t))
(* -1 (/ (+ (* 2 z) (* 4 (/ (pow z 3) (* t y)))) t))
(* -1 (/ (+ (* -1 (/ (+ (* -8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t))
(* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (pow z 3) y)) (* -1 (/ (+ (* 8 (/ (pow z 5) (pow y 2))) (* 16 (/ (pow z 7) (* t (pow y 3))))) t))) t)) (* 2 z)) t))
(* -2 (/ z t))
(* -1 (/ (+ (* 2 z) (* 4 (/ (pow z 3) (* t y)))) t))
(* -1 (/ (+ (* 2 z) (* 4 (/ (pow z 3) (* t y)))) t))
(* -1 (/ (+ (* 2 z) (* 4 (/ (pow z 3) (* t y)))) t))
(* t y)
(* -1 (* t (+ (* -1 y) (* 2 (/ (pow z 2) t)))))
(* -1 (* t (+ (* -1 y) (* 2 (/ (pow z 2) t)))))
(* -1 (* t (+ (* -1 y) (* 2 (/ (pow z 2) t)))))
x
(+ x (* 2 (/ z t)))
(+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t)))))
(+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))))
(* -2 (/ z t))
(* z (- (* -4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t))))
(* z (- (* (pow z 2) (- (* -8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))
(* z (- (* (pow z 2) (- (* (pow z 2) (- (* -16 (/ (pow z 2) (* (pow t 4) (pow y 3)))) (* 8 (/ 1 (* (pow t 3) (pow y 2)))))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(* -2 (/ z t))
(/ z t)
(/ z t)
(/ z t)
(/ z t)
x
(+ x (* 2 (/ z t)))
(+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t)))))
(+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))))
(* -2 (/ z t))
(* z (- (* -4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t))))
(* z (- (* (pow z 2) (- (* -8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))
(* z (- (* (pow z 2) (- (* (pow z 2) (- (* -16 (/ (pow z 2) (* (pow t 4) (pow y 3)))) (* 8 (/ 1 (* (pow t 3) (pow y 2)))))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
x
(+ x (* 2 (/ z t)))
(+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t)))))
(+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))))
x
(+ x (* 2 (/ z t)))
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(- (+ x (* -1 (/ (- (* -8 (/ (pow z 5) (* (pow t 3) y))) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))
(* -2 (/ z t))
(+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))
(+ (* -2 (/ z t)) (* -1 (/ (+ (* 4 (/ (pow z 3) (pow t 2))) (* 8 (/ (pow z 5) (* (pow t 3) y)))) y)))
(+ (* -2 (/ z t)) (* -1 (/ (+ (* -1 (/ (+ (* -16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y)))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(- x (* -2 (/ z t)))
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(- (+ x (* -1 (/ (- (* -8 (/ (pow z 5) (* (pow t 3) y))) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))
(- x (* -2 (/ z t)))
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(- (+ x (* -1 (/ (- (* -8 (/ (pow z 5) (* (pow t 3) y))) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))
(* 2 (/ z t))
(+ (* 2 (/ z t)) (* 4 (/ (pow z 3) (* (pow t 2) y))))
(+ (* -1 (/ (+ (* -8 (/ (pow z 5) (* (pow t 3) y))) (* -4 (/ (pow z 3) (pow t 2)))) y)) (* 2 (/ z t)))
(+ (* -1 (/ (+ (* -4 (/ (pow z 3) (pow t 2))) (* -1 (/ (+ (* 8 (/ (pow z 5) (pow t 3))) (* 16 (/ (pow z 7) (* (pow t 4) y)))) y))) y)) (* 2 (/ z t)))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(/ z (* t y))
(* -1 (/ (+ (* -2 (/ (pow z 3) (* (pow t 2) y))) (* -1 (/ z t))) y))
(* -1 (/ (+ (* -1 (/ z t)) (* -1 (/ (- (* 4 (/ (pow z 5) (* (pow t 3) y))) (* -2 (/ (pow z 3) (pow t 2)))) y))) y))
(* -1 (/ (+ (* -1 (/ z t)) (* -1 (/ (- (* -1 (/ (- (* -8 (/ (pow z 7) (* (pow t 4) y))) (* 4 (/ (pow z 5) (pow t 3)))) y)) (* -2 (/ (pow z 3) (pow t 2)))) y))) y))
(* -2 z)
(+ (* -4 (/ (pow z 3) (* t y))) (* -2 z))
(+ (* -4 (/ (pow z 3) (* t y))) (* -2 z))
(+ (* -4 (/ (pow z 3) (* t y))) (* -2 z))
(- x (* -2 (/ z t)))
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(- (+ x (* -1 (/ (- (* -8 (/ (pow z 5) (* (pow t 3) y))) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))
(* -2 (/ z t))
(+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))
(+ (* -2 (/ z t)) (* -1 (/ (+ (* 4 (/ (pow z 3) (pow t 2))) (* 8 (/ (pow z 5) (* (pow t 3) y)))) y)))
(+ (* -2 (/ z t)) (* -1 (/ (+ (* -1 (/ (+ (* -16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y)))
(* -2 (/ z t))
(+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))
(+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))
(+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))
(* t y)
(* -1 (* y (+ (* -1 t) (* 2 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 t) (* 2 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 t) (* 2 (/ (pow z 2) y)))))
(/ (pow z 3) y)
(/ (pow z 3) y)
(/ (pow z 3) y)
(/ (pow z 3) y)
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(* 2 (/ z t))
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
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(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
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x
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
x
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
x
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
x
(* x (+ 1 (* 2 (/ z (* t x)))))
(* x (+ 1 (* 2 (/ z (* t x)))))
(* x (+ 1 (* 2 (/ z (* t x)))))
x
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
x
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
x
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
x
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
x
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
x
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
x
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
x
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
Outputs
(-.f64 x (/.f64 y z))
(fma.f64 (*.f64 #s(literal -1/2 binary64) t) (*.f64 y (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (-.f64 x (/.f64 y z)))
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(*.f64 (/.f64 z t) #s(literal -2 binary64))
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(*.f64 (/.f64 z t) #s(literal -2 binary64))
(/.f64 z t)
(/.f64 z t)
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(-.f64 x (/.f64 y z))
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(*.f64 (/.f64 z t) #s(literal 2 binary64))
(/.f64 (fma.f64 t x (*.f64 z #s(literal 2 binary64))) t)
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(-.f64 x (/.f64 y z))
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(/.f64 (neg.f64 y) z)
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(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) t) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 7 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 y y)) (pow.f64 z #s(literal 5 binary64)))) t (*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) #s(literal -1/4 binary64))) t (/.f64 #s(literal -1/2 binary64) z))
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(-.f64 x (/.f64 y z))
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(/.f64 y z)
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(*.f64 (/.f64 #s(literal -4 binary64) (*.f64 t t)) (/.f64 (pow.f64 z #s(literal 3 binary64)) y))
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(/.f64 (/.f64 (fma.f64 (*.f64 t z) #s(literal -2 binary64) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal -4 binary64))) t) t)
(/.f64 (/.f64 (fma.f64 (*.f64 t z) #s(literal -2 binary64) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal -4 binary64))) t) t)
(*.f64 (*.f64 z z) #s(literal -2 binary64))
(fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))
(fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))
(fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))
x
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x)
(-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (*.f64 #s(literal -2 binary64) z)) t))
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(*.f64 (/.f64 z t) #s(literal -2 binary64))
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(fma.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) x)
(fma.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) x)
(fma.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) x)
(*.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))))
(fma.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) x)
(fma.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) x)
(fma.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) x)
x
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 y (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) (/.f64 z x)) x)
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 y (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) (/.f64 z x)) x)
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 y (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) (/.f64 z x)) x)
x
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 y (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) (/.f64 z x)) x)
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 y (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) (/.f64 z x)) x)
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 y (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) (/.f64 z x)) x)
x
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 y (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) (/.f64 z x)) x)
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 y (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) (/.f64 z x)) x)
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 y (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) (/.f64 z x)) x)
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(*.f64 (fma.f64 (/.f64 (/.f64 z t) x) #s(literal 2 binary64) #s(literal 1 binary64)) x)
(*.f64 (fma.f64 (/.f64 (/.f64 z t) x) #s(literal 2 binary64) #s(literal 1 binary64)) x)
(*.f64 (fma.f64 (/.f64 (/.f64 z t) x) #s(literal 2 binary64) #s(literal 1 binary64)) x)
x
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 y (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) (/.f64 z x)) x)
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 y (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) (/.f64 z x)) x)
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 y (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) (/.f64 z x)) x)
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(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 y (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) (/.f64 z x)) x)
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 y (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) (/.f64 z x)) x)
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 y (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) (/.f64 z x)) x)
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(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -1 binary64)))
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(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -1 binary64)))
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(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -1 binary64)))
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(*.f64 (neg.f64 x) (fma.f64 (/.f64 (/.f64 z t) x) #s(literal -2 binary64) #s(literal -1 binary64)))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (/.f64 z t) x) #s(literal -2 binary64) #s(literal -1 binary64)))
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (/.f64 z t) x) #s(literal -2 binary64) #s(literal -1 binary64)))
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(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -1 binary64)))
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(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal -1 binary64)))

rewrite368.0ms (4%)

Memory
29.5MiB live, 292.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040288
062288
1260288
21865288
08828286
Stop Event
iter limit
node limit
iter limit
Counts
20 → 459
Calls
Call 1
Inputs
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t))))
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))
(*.f64 #s(literal -2 binary64) (/.f64 z t))
(/.f64 z t)
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))
(/.f64 y z)
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x))
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x)
(/.f64 #s(literal 2 binary64) t)
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y)))))
(*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))))
(*.f64 #s(literal 2 binary64) y)
(/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y)))
(fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z))
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t)))
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t))
(/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t)
(fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))
(/.f64 (pow.f64 z #s(literal 3 binary64)) y)
Outputs
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eval201.0ms (2.2%)

Memory
8.3MiB live, 287.4MiB allocated
Compiler

Compiled 48 516 to 2 567 computations (94.7% saved)

prune38.0ms (0.4%)

Memory
-24.7MiB live, 94.3MiB allocated
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1 09351 098
Fresh000
Picked235
Done000
Total1 09581 103
Accuracy
99.3%
Counts
1 103 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.9%
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z t)) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)))
60.5%
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
60.4%
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(literal 1 binary64) (/.f64 z y))))
64.6%
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x))
21.7%
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y)))))
18.2%
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))))
12.8%
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 y (/.f64 (/.f64 y z) z)) y) (neg.f64 z))))
14.7%
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z)))
Compiler

Compiled 451 to 306 computations (32.2% saved)

simplify124.0ms (1.3%)

Memory
-3.0MiB live, 151.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z t)) y) #s(literal -4 binary64) #s(literal -2 binary64)) z))
cost-diff0
(/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z t)) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)
cost-diff0
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z t)) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t))
cost-diff0
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z t)) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)))
cost-diff0
(fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 y (/.f64 (/.f64 y z) z)) y)
cost-diff0
#s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 y (/.f64 (/.f64 y z) z)) y) (neg.f64 z)))
cost-diff0
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 y (/.f64 (/.f64 y z) z)) y) (neg.f64 z))))
cost-diff128
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 y (/.f64 (/.f64 y z) z)) y) (neg.f64 z))
cost-diff0
(/.f64 z t)
cost-diff0
(*.f64 (/.f64 z t) #s(literal 2 binary64))
cost-diff0
#s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))
cost-diff0
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))))
cost-diff0
(neg.f64 y)
cost-diff0
(/.f64 (neg.f64 y) z)
cost-diff0
#s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z))
cost-diff0
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z)))
cost-diff0
(/.f64 z y)
cost-diff0
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(literal 1 binary64) (/.f64 z y)))
cost-diff0
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(literal 1 binary64) (/.f64 z y))))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 z y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062495
084497
1162497
2311485
3653485
41501485
53101485
66263485
08070466
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(literal 1 binary64) (/.f64 z y))))
x
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(literal 1 binary64) (/.f64 z y)))
(/.f64 #s(literal 1 binary64) (/.f64 z y))
#s(literal 1 binary64)
(/.f64 z y)
z
y
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z)))
#s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z))
(/.f64 (neg.f64 y) z)
(neg.f64 y)
y
z
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))))
#s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))
(*.f64 (/.f64 z t) #s(literal 2 binary64))
(/.f64 z t)
z
t
#s(literal 2 binary64)
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 y (/.f64 (/.f64 y z) z)) y) (neg.f64 z))))
#s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 y (/.f64 (/.f64 y z) z)) y) (neg.f64 z)))
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 y (/.f64 (/.f64 y z) z)) y) (neg.f64 z))
(fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 y (/.f64 (/.f64 y z) z)) y)
(*.f64 #s(literal 1/2 binary64) t)
#s(literal 1/2 binary64)
t
(*.f64 y (/.f64 (/.f64 y z) z))
y
(/.f64 (/.f64 y z) z)
(/.f64 y z)
z
(neg.f64 z)
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z t)) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)))
x
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z t)) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t))
(/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z t)) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)
#s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z t)) y) #s(literal -4 binary64) #s(literal -2 binary64)) z))
(*.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z t)) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)
(fma.f64 (/.f64 (*.f64 z (/.f64 z t)) y) #s(literal -4 binary64) #s(literal -2 binary64))
(/.f64 (*.f64 z (/.f64 z t)) y)
(*.f64 z (/.f64 z t))
z
(/.f64 z t)
t
y
#s(literal -4 binary64)
#s(literal -2 binary64)
Outputs
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
x
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))
(/.f64 y z)
#s(literal 1 binary64)
(/.f64 z y)
z
y
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z)))
#s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z))
(/.f64 (neg.f64 y) z)
(neg.f64 y)
y
z
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)))
#s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))
(*.f64 (/.f64 #s(literal 2 binary64) t) z)
(/.f64 z t)
z
t
#s(literal 2 binary64)
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (/.f64 y z) z) t) #s(literal -1 binary64)) z) y)))
#s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (/.f64 y z) z) t) #s(literal -1 binary64)) z) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (/.f64 y z) z) t) #s(literal -1 binary64)) z) y)
(fma.f64 (*.f64 (/.f64 (/.f64 y z) z) y) (*.f64 #s(literal 1/2 binary64) t) y)
(*.f64 #s(literal 1/2 binary64) t)
#s(literal 1/2 binary64)
t
(*.f64 (/.f64 (/.f64 y z) z) y)
y
(/.f64 (/.f64 y z) z)
(/.f64 y z)
z
(neg.f64 z)
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)))
x
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t))
(/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)
#s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z))
(*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)
(fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64))
(/.f64 (*.f64 (/.f64 z t) z) y)
(*.f64 (/.f64 z t) z)
z
(/.f64 z t)
t
y
#s(literal -4 binary64)
#s(literal -2 binary64)

localize125.0ms (1.4%)

Memory
27.7MiB live, 262.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.1015625
(*.f64 z (/.f64 z t))
accuracy1.6906120361143158
(/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z t)) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)
accuracy7.954971690343686
(/.f64 (*.f64 z (/.f64 z t)) y)
accuracy29.438920427493578
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z t)) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t))
accuracy3.967626323767575
(fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 y (/.f64 (/.f64 y z) z)) y)
accuracy4.080733561149036
(*.f64 y (/.f64 (/.f64 y z) z))
accuracy34.13880281518361
#s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 y (/.f64 (/.f64 y z) z)) y) (neg.f64 z)))
accuracy44.42438741781761
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 y (/.f64 (/.f64 y z) z)) y) (neg.f64 z))))
accuracy0
(/.f64 z t)
accuracy0.0078125
(*.f64 (/.f64 z t) #s(literal 2 binary64))
accuracy22.60161812163784
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))))
accuracy30.507071016940433
#s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))
accuracy0
(/.f64 (neg.f64 y) z)
accuracy0
(neg.f64 y)
accuracy33.72919434045912
#s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z))
accuracy44.42438741781761
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z)))
accuracy0
(/.f64 z y)
accuracy0.0078125
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(literal 1 binary64) (/.f64 z y))))
accuracy0.29052981878405726
(/.f64 #s(literal 1 binary64) (/.f64 z y))
accuracy33.72919434045912
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(literal 1 binary64) (/.f64 z y)))
Samples
95.0ms256×0valid
Compiler

Compiled 806 to 120 computations (85.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 73.0ms
ival-mult: 29.0ms (39.5% of total)
ival-div: 27.0ms (36.8% of total)
ival-pow: 6.0ms (8.2% of total)
ival-add: 5.0ms (6.8% of total)
ival-neg: 4.0ms (5.4% of total)
ival-sub: 2.0ms (2.7% of total)
exact: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series111.0ms (1.2%)

Memory
6.0MiB live, 161.9MiB allocated
Counts
23 → 780
Calls
Call 1
Inputs
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 z y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(literal 1 binary64) (/.f64 z y))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 z y) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (neg.f64 y) z) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (/.f64 z t) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 z t) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 y (/.f64 (/.f64 y z) z)) y) (neg.f64 z)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 y (/.f64 (/.f64 y z) z)) y) (neg.f64 z)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 y (/.f64 (/.f64 y z) z)) y) (neg.f64 z))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 y (/.f64 (/.f64 y z) z)) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z t)) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z t)) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z t)) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z t)) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 y (/.f64 (/.f64 y z) z)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (*.f64 z (/.f64 z t)) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 z (/.f64 z t)) #<representation binary64>) () ())
Outputs
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(literal 1 binary64) (/.f64 z y)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(literal 1 binary64) (/.f64 z y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(literal 1 binary64) (/.f64 z y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(literal 1 binary64) (/.f64 z y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(literal 1 binary64) (/.f64 z y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z))) #<representation binary64>) () ())) ())
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Calls

12 calls:

TimeVariablePointExpression
27.0ms
t
@0
((/ 1 (/ z y)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ z y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/ (neg y) z) (neg y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ z t) 2) (/ z t) (/ (+ (* (* 1/2 t) (* y (/ (/ y z) z))) y) (neg z)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (+ (* (* 1/2 t) (* y (/ (/ y z) z))) y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) t) (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (* y (/ (/ y z) z)) (/ (* z (/ z t)) y) (* z (/ z t)))
8.0ms
y
@inf
((/ 1 (/ z y)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ z y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/ (neg y) z) (neg y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ z t) 2) (/ z t) (/ (+ (* (* 1/2 t) (* y (/ (/ y z) z))) y) (neg z)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (+ (* (* 1/2 t) (* y (/ (/ y z) z))) y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) t) (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (* y (/ (/ y z) z)) (/ (* z (/ z t)) y) (* z (/ z t)))
4.0ms
z
@inf
((/ 1 (/ z y)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ z y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/ (neg y) z) (neg y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ z t) 2) (/ z t) (/ (+ (* (* 1/2 t) (* y (/ (/ y z) z))) y) (neg z)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (+ (* (* 1/2 t) (* y (/ (/ y z) z))) y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) t) (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (* y (/ (/ y z) z)) (/ (* z (/ z t)) y) (* z (/ z t)))
4.0ms
z
@0
((/ 1 (/ z y)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ z y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/ (neg y) z) (neg y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ z t) 2) (/ z t) (/ (+ (* (* 1/2 t) (* y (/ (/ y z) z))) y) (neg z)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (+ (* (* 1/2 t) (* y (/ (/ y z) z))) y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) t) (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (* y (/ (/ y z) z)) (/ (* z (/ z t)) y) (* z (/ z t)))
4.0ms
z
@-inf
((/ 1 (/ z y)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ z y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/ (neg y) z) (neg y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (* (/ z t) 2) (/ z t) (/ (+ (* (* 1/2 t) (* y (/ (/ y z) z))) y) (neg z)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (+ (* (* 1/2 t) (* y (/ (/ y z) z))) y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) t) (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (* y (/ (/ y z) z)) (/ (* z (/ z t)) y) (* z (/ z t)))

simplify210.0ms (2.3%)

Memory
-0.6MiB live, 314.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049110691
1146310510
2455910424
082539845
Stop Event
iter limit
node limit
Counts
780 → 731
Calls
Call 1
Inputs
(- x (/ y z))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(/ y z)
(+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z))
(+ (* t (+ (* 1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3))))) (/ y z))
(+ (* t (+ (* 1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* 1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))))) (/ y z))
(- x (/ y z))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(* -1 (/ y z))
(+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3))))
(+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* -1/4 (/ (* t (pow y 3)) (pow z 5))))))
(+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* -1/4 (/ (pow y 3) (pow z 5))) (* -1/8 (/ (* t (pow y 4)) (pow z 7))))))))
(- x (/ y z))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(* 2 (/ z t))
(/ (+ (* 2 z) (* t x)) t)
(/ (+ (* 2 z) (* t x)) t)
(/ (+ (* 2 z) (* t x)) t)
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(* -1 (/ y z))
(+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3))))
(+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3))))
(+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3))))
(- x (/ y z))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
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(+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* -1/4 (/ (pow y 3) (pow z 5))) (* -1/8 (/ (* t (pow y 4)) (pow z 7))))))))
y
(+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2))))
(+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2))))
(+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2))))
(- x (/ y z))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(/ y z)
(+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z))
(+ (* t (+ (* 1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3))))) (/ y z))
(+ (* t (+ (* 1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* 1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))))) (/ y z))
(* -4 (/ (pow z 3) (* (pow t 2) y)))
(/ (+ (* -4 (/ (pow z 3) y)) (* -2 (* t z))) (pow t 2))
(/ (+ (* -4 (/ (pow z 3) y)) (* -2 (* t z))) (pow t 2))
(/ (+ (* -4 (/ (pow z 3) y)) (* -2 (* t z))) (pow t 2))
(* -4 (/ (pow z 3) (* t y)))
(/ (+ (* -4 (/ (pow z 3) y)) (* -2 (* t z))) t)
(/ (+ (* -4 (/ (pow z 3) y)) (* -2 (* t z))) t)
(/ (+ (* -4 (/ (pow z 3) y)) (* -2 (* t z))) t)
(/ (pow z 2) (* t y))
(/ (pow z 2) (* t y))
(/ (pow z 2) (* t y))
(/ (pow z 2) (* t y))
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
(/ (pow z 2) t)
x
(+ x (* 2 (/ z t)))
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
(* -2 (/ z t))
(/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t)
(/ (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z))) t)
(/ (+ (* -16 (/ (pow z 7) (* (pow t 3) (pow y 3)))) (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)))) t)
x
(+ x (* 2 (/ z t)))
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(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
(* 2 (/ z t))
(/ (+ (* 2 z) (* 4 (/ (pow z 3) (* t y)))) t)
(/ (+ (* 2 z) (+ (* 4 (/ (pow z 3) (* t y))) (* 8 (/ (pow z 5) (* (pow t 2) (pow y 2)))))) t)
(/ (+ (* 2 z) (+ (* 4 (/ (pow z 3) (* t y))) (+ (* 8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (* 16 (/ (pow z 7) (* (pow t 3) (pow y 3))))))) t)
x
(+ x (* 2 (/ z t)))
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
x
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(* -1/2 (/ (* t (pow y 2)) (pow z 3)))
(* t (+ (* -1 (/ y (* t z))) (* -1/2 (/ (pow y 2) (pow z 3)))))
(* t (+ (* -1 (/ y (* t z))) (* -1/2 (/ (pow y 2) (pow z 3)))))
(* t (+ (* -1 (/ y (* t z))) (* -1/2 (/ (pow y 2) (pow z 3)))))
x
(+ x (* 2 (/ z t)))
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t)))
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
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(/ (+ (* 2 z) (+ (* 4 (/ (pow z 3) (* t y))) (* 8 (/ (pow z 5) (* (pow t 2) (pow y 2)))))) t)
(/ (+ (* 2 z) (+ (* 4 (/ (pow z 3) (* t y))) (+ (* 8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (* 16 (/ (pow z 7) (* (pow t 3) (pow y 3))))))) t)
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x
(+ x (* 2 (/ z t)))
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(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))
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(/ (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z))) t)
(/ (+ (* -16 (/ (pow z 7) (* (pow t 3) (pow y 3)))) (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)))) t)
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(/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t)
(/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t)
(/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t)
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(+ (* -4 (/ (pow z 3) (* t y))) (* -2 z))
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x
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x
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x
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(/ z t)
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(* -1/2 (/ (* t (pow y 2)) (pow z 3)))
(* -1 (* t (+ (* 1/2 (/ (pow y 2) (pow z 3))) (/ y (* t z)))))
(* -1 (* t (+ (* 1/2 (/ (pow y 2) (pow z 3))) (/ y (* t z)))))
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x
(+ x (* 2 (/ z t)))
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(+ x (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t)))
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(* -1 (/ (+ (* -2 z) (* -1 (/ (+ (* 4 (/ (pow z 3) y)) (* 8 (/ (pow z 5) (* t (pow y 2))))) t))) t))
(* -1 (/ (+ (* -2 z) (* -1 (/ (+ (* -1 (/ (+ (* -16 (/ (pow z 7) (* t (pow y 3)))) (* -8 (/ (pow z 5) (pow y 2)))) t)) (* 4 (/ (pow z 3) y))) t))) t))
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(* -1 (* t (+ (* -1 (/ y t)) (* -1/2 (/ (pow y 2) (pow z 2))))))
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x
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(* -1 (/ (+ (* 2 z) (* 4 (/ (pow z 3) (* t y)))) t))
(* -1 (/ (+ (* 2 z) (* 4 (/ (pow z 3) (* t y)))) t))
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(/ (pow z 2) (* t y))
(/ (pow z 2) (* t y))
(/ (pow z 2) (* t y))
(/ (pow z 2) (* t y))
(/ (pow z 2) t)
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(/ (pow z 2) t)
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(/ y z)
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(/ (+ (* -1 (* y (pow z 2))) (* -1/2 (* t (pow y 2)))) (pow z 3))
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x
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(/ (+ (* 1/2 (* t (pow y 2))) (* y (pow z 2))) (pow z 2))
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x
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(* z (- (* (pow z 2) (- (* (pow z 2) (- (* -16 (/ (pow z 2) (* (pow t 4) (pow y 3)))) (* 8 (/ 1 (* (pow t 3) (pow y 2)))))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))
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(* z (- (* -4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t))))
(* -2 z)
(* z (- (* -4 (/ (pow z 2) (* t y))) 2))
(* z (- (* -4 (/ (pow z 2) (* t y))) 2))
(* z (- (* -4 (/ (pow z 2) (* t y))) 2))
(/ (pow y 2) (pow z 2))
(/ (pow y 2) (pow z 2))
(/ (pow y 2) (pow z 2))
(/ (pow y 2) (pow z 2))
(/ (pow z 2) (* t y))
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(/ (+ y (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2))))) z)
(/ (+ y (+ (* 1/8 (/ (* (pow t 3) (pow y 4)) (pow z 6))) (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2)))))) z)
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x
(+ x (* -1 (/ y z)))
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(/ (+ (* -1 y) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 2))) (+ (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* -1/8 (/ (* (pow t 3) (pow y 4)) (pow z 6)))))) z)
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(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t)))
(* -2 (/ z t))
(+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))
(+ (* -2 (/ z t)) (* -1 (/ (+ (* 4 (/ (pow z 3) (pow t 2))) (* 8 (/ (pow z 5) (* (pow t 3) y)))) y)))
(+ (* -2 (/ z t)) (* -1 (/ (+ (* -1 (/ (+ (* -16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y)))
(* -2 (/ z t))
(+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))
(+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))
(+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))
(* -2 z)
(+ (* -4 (/ (pow z 3) (* t y))) (* -2 z))
(+ (* -4 (/ (pow z 3) (* t y))) (* -2 z))
(+ (* -4 (/ (pow z 3) (* t y))) (* -2 z))
(/ (pow y 2) (pow z 2))
(/ (pow y 2) (pow z 2))
(/ (pow y 2) (pow z 2))
(/ (pow y 2) (pow z 2))
(/ (pow z 2) (* t y))
(/ (pow z 2) (* t y))
(/ (pow z 2) (* t y))
(/ (pow z 2) (* t y))
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(* 2 (/ z t))
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
x
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
x
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
x
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
x
(* x (+ 1 (* 2 (/ z (* t x)))))
(* x (+ 1 (* 2 (/ z (* t x)))))
(* x (+ 1 (* 2 (/ z (* t x)))))
x
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
x
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
x
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
x
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
x
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
x
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
x
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
x
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
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(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
Outputs
(-.f64 x (/.f64 y z))
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(/.f64 y z)
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(-.f64 x (/.f64 y z))
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(-.f64 x (/.f64 y z))
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(*.f64 (/.f64 z t) #s(literal 2 binary64))
(/.f64 (fma.f64 t x (*.f64 #s(literal 2 binary64) z)) t)
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(*.f64 (fma.f64 (*.f64 y #s(literal -1/2 binary64)) (/.f64 t (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) z)) y)
(-.f64 x (/.f64 y z))
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y
(*.f64 (fma.f64 (*.f64 (/.f64 t (*.f64 z z)) #s(literal 1/2 binary64)) y #s(literal 1 binary64)) y)
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(-.f64 x (/.f64 y z))
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(*.f64 (/.f64 z y) (/.f64 z t))
(*.f64 (/.f64 z y) (/.f64 z t))
(*.f64 (/.f64 z y) (/.f64 z t))
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(*.f64 z (/.f64 z t))
(*.f64 z (/.f64 z t))
(*.f64 z (/.f64 z t))
(*.f64 z (/.f64 z t))
x
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x)
(+.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) t) #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) z)) t) x)
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x
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x)
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x
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(fma.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) x)
(fma.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) x)
(fma.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) x)
x
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal 1 binary64)) x)
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal 1 binary64)) x)
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal 1 binary64)) x)
x
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal 1 binary64)) x)
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal 1 binary64)) x)
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal 1 binary64)) x)
x
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal 1 binary64)) x)
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal 1 binary64)) x)
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal 1 binary64)) x)
x
(fma.f64 (*.f64 (/.f64 (/.f64 z t) x) #s(literal 2 binary64)) x x)
(fma.f64 (*.f64 (/.f64 (/.f64 z t) x) #s(literal 2 binary64)) x x)
(fma.f64 (*.f64 (/.f64 (/.f64 z t) x) #s(literal 2 binary64)) x x)
x
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal 1 binary64)) x)
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal 1 binary64)) x)
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal 1 binary64)) x)
x
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal 1 binary64)) x)
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal 1 binary64)) x)
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal 1 binary64)) x)
x
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal 1 binary64)) x)
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal 1 binary64)) x)
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal 1 binary64)) x)
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(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal 1 binary64)) x)
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x
(fma.f64 (*.f64 (/.f64 (/.f64 z t) x) #s(literal 2 binary64)) x x)
(fma.f64 (*.f64 (/.f64 (/.f64 z t) x) #s(literal 2 binary64)) x x)
(fma.f64 (*.f64 (/.f64 (/.f64 z t) x) #s(literal 2 binary64)) x x)
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(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal 1 binary64)) x)
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal 1 binary64)) x)
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal 1 binary64)) x)
x
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal 1 binary64)) x)
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal 1 binary64)) x)
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) x) (/.f64 z (fma.f64 (neg.f64 y) t (*.f64 (*.f64 z z) #s(literal 2 binary64)))) #s(literal 1 binary64)) x)

rewrite186.0ms (2%)

Memory
-16.5MiB live, 235.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062438
084432
1356432
22532422
08248412
Stop Event
iter limit
node limit
iter limit
Counts
23 → 423
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 z y))
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(literal 1 binary64) (/.f64 z y))))
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(literal 1 binary64) (/.f64 z y)))
(/.f64 z y)
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z)))
#s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z))
(/.f64 (neg.f64 y) z)
(neg.f64 y)
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))))
#s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))
(*.f64 (/.f64 z t) #s(literal 2 binary64))
(/.f64 z t)
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 y (/.f64 (/.f64 y z) z)) y) (neg.f64 z))
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 y (/.f64 (/.f64 y z) z)) y) (neg.f64 z))))
#s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 y (/.f64 (/.f64 y z) z)) y) (neg.f64 z)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 y (/.f64 (/.f64 y z) z)) y)
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z t)) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)))
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z t)) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t))
(/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z t)) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)
#s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z t)) y) #s(literal -4 binary64) #s(literal -2 binary64)) z))
(*.f64 y (/.f64 (/.f64 y z) z))
(/.f64 (*.f64 z (/.f64 z t)) y)
(*.f64 z (/.f64 z t))
Outputs
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eval159.0ms (1.7%)

Memory
35.2MiB live, 261.2MiB allocated
Compiler

Compiled 55 615 to 2 682 computations (95.2% saved)

prune92.0ms (1%)

Memory
-15.0MiB live, 102.2MiB allocated
Pruning

14 alts after pruning (8 fresh and 6 done)

PrunedKeptTotal
New1 19481 202
Fresh000
Picked235
Done033
Total1 196141 210
Accuracy
99.3%
Counts
1 210 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
14.5%
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x))) (*.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x)) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x)) (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x))))
55.9%
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z t)) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)))
54.0%
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z z) (*.f64 t y)) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)))
60.5%
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
20.7%
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x)) #s(literal -1 binary64)))
64.6%
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x))
21.7%
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y)))))
18.2%
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (/.f64 (*.f64 #s(literal 2 binary64) z) t)))
18.1%
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)))
12.8%
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 y (/.f64 (/.f64 y z) z)) y) (neg.f64 z))))
14.7%
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z)))
8.6%
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 #s(approx (+ (* (* 1/2 t) (* y (/ (/ y z) z))) y) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 y y) z) (/.f64 y t)) t)) (neg.f64 z))))
14.7%
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 #s(literal -1 binary64) (/.f64 z y))))
14.7%
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (*.f64 (/.f64 #s(literal -1 binary64) z) y)))
Compiler

Compiled 1 866 to 640 computations (65.7% saved)

simplify321.0ms (3.5%)

Memory
4.5MiB live, 158.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 x #s(literal 3 binary64))
cost-diff0
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x)))
cost-diff19776
(-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x))) (*.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x)) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) #s(literal 3 binary64))))
cost-diff39552
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x))) (*.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x)) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x)) (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x))))
cost-diff0
(/.f64 #s(approx (+ (* (* 1/2 t) (* y (/ (/ y z) z))) y) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 y y) z) (/.f64 y t)) t)) (neg.f64 z))
cost-diff0
#s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 #s(approx (+ (* (* 1/2 t) (* y (/ (/ y z) z))) y) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 y y) z) (/.f64 y t)) t)) (neg.f64 z)))
cost-diff0
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 #s(approx (+ (* (* 1/2 t) (* y (/ (/ y z) z))) y) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 y y) z) (/.f64 y t)) t)) (neg.f64 z))))
cost-diff704
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 y y) z) (/.f64 y t)) t)
cost-diff0
(*.f64 #s(literal 2 binary64) z)
cost-diff0
(/.f64 (*.f64 #s(literal 2 binary64) z) t)
cost-diff0
#s(approx (+ (* (/ 2 t) z) x) (/.f64 (*.f64 #s(literal 2 binary64) z) t))
cost-diff0
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (/.f64 (*.f64 #s(literal 2 binary64) z) t)))
cost-diff0
(/.f64 #s(literal -1 binary64) z)
cost-diff0
#s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (*.f64 (/.f64 #s(literal -1 binary64) z) y))
cost-diff0
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (*.f64 (/.f64 #s(literal -1 binary64) z) y)))
cost-diff192
(*.f64 (/.f64 #s(literal -1 binary64) z) y)
cost-diff0
#s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z z) (*.f64 t y)) #s(literal -4 binary64) #s(literal -2 binary64)) z))
cost-diff0
(/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z z) (*.f64 t y)) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)
cost-diff0
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z z) (*.f64 t y)) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t))
cost-diff0
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z z) (*.f64 t y)) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0851960
01241960
12461767
25691553
316231551
450061546
082511525
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z z) (*.f64 t y)) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)))
x
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z z) (*.f64 t y)) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t))
(/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z z) (*.f64 t y)) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)
#s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z z) (*.f64 t y)) #s(literal -4 binary64) #s(literal -2 binary64)) z))
(*.f64 (fma.f64 (/.f64 (*.f64 z z) (*.f64 t y)) #s(literal -4 binary64) #s(literal -2 binary64)) z)
(fma.f64 (/.f64 (*.f64 z z) (*.f64 t y)) #s(literal -4 binary64) #s(literal -2 binary64))
(/.f64 (*.f64 z z) (*.f64 t y))
(*.f64 z z)
z
(*.f64 t y)
t
y
#s(literal -4 binary64)
#s(literal -2 binary64)
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (*.f64 (/.f64 #s(literal -1 binary64) z) y)))
#s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (*.f64 (/.f64 #s(literal -1 binary64) z) y))
(*.f64 (/.f64 #s(literal -1 binary64) z) y)
(/.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
z
y
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (/.f64 (*.f64 #s(literal 2 binary64) z) t)))
#s(approx (+ (* (/ 2 t) z) x) (/.f64 (*.f64 #s(literal 2 binary64) z) t))
(/.f64 (*.f64 #s(literal 2 binary64) z) t)
(*.f64 #s(literal 2 binary64) z)
#s(literal 2 binary64)
z
t
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 #s(approx (+ (* (* 1/2 t) (* y (/ (/ y z) z))) y) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 y y) z) (/.f64 y t)) t)) (neg.f64 z))))
#s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 #s(approx (+ (* (* 1/2 t) (* y (/ (/ y z) z))) y) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 y y) z) (/.f64 y t)) t)) (neg.f64 z)))
(/.f64 #s(approx (+ (* (* 1/2 t) (* y (/ (/ y z) z))) y) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 y y) z) (/.f64 y t)) t)) (neg.f64 z))
#s(approx (+ (* (* 1/2 t) (* y (/ (/ y z) z))) y) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 y y) z) (/.f64 y t)) t))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 y y) z) (/.f64 y t)) t)
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 y y) z) (/.f64 y t))
(/.f64 #s(literal 1/2 binary64) z)
#s(literal 1/2 binary64)
z
(/.f64 (*.f64 y y) z)
(*.f64 y y)
y
(/.f64 y t)
t
(neg.f64 z)
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(-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x))) (*.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x)) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) #s(literal 3 binary64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x)))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x))
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t))
(/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)
#s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z))
(*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)
(fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64))
(/.f64 (*.f64 (/.f64 z t) z) y)
(*.f64 (/.f64 z t) z)
(/.f64 z t)
z
t
y
#s(literal -4 binary64)
#s(literal -2 binary64)
(+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x)
(*.f64 x x)
(*.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x)) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) #s(literal 3 binary64)))
(pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) #s(literal 3 binary64))
(*.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x)) (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x)))
Outputs
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (/.f64 #s(literal -4 binary64) y) (*.f64 #s(literal -2 binary64) z))) t)))
x
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (/.f64 #s(literal -4 binary64) y) (*.f64 #s(literal -2 binary64) z))) t))
(/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (/.f64 #s(literal -4 binary64) y) (*.f64 #s(literal -2 binary64) z))) t)
#s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (/.f64 #s(literal -4 binary64) y) (*.f64 #s(literal -2 binary64) z)))
(fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (/.f64 #s(literal -4 binary64) y) (*.f64 #s(literal -2 binary64) z))
(fma.f64 (/.f64 (/.f64 #s(literal -4 binary64) y) t) (*.f64 z z) #s(literal -2 binary64))
(*.f64 (/.f64 (/.f64 z y) t) z)
(*.f64 z z)
z
(*.f64 t y)
t
y
#s(literal -4 binary64)
#s(literal -2 binary64)
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z)))
#s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z))
(/.f64 (neg.f64 y) z)
(/.f64 #s(literal -1 binary64) z)
#s(literal -1 binary64)
z
y
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)))
#s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))
(*.f64 (/.f64 #s(literal 2 binary64) t) z)
(*.f64 z #s(literal 2 binary64))
#s(literal 2 binary64)
z
t
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 #s(approx (+ (* (* 1/2 t) (* y (/ (/ y z) z))) y) (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) y) (*.f64 #s(literal 1/2 binary64) t) y)) (neg.f64 z))))
#s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 #s(approx (+ (* (* 1/2 t) (* y (/ (/ y z) z))) y) (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) y) (*.f64 #s(literal 1/2 binary64) t) y)) (neg.f64 z)))
(/.f64 #s(approx (+ (* (* 1/2 t) (* y (/ (/ y z) z))) y) (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) y) (*.f64 #s(literal 1/2 binary64) t) y)) (neg.f64 z))
#s(approx (+ (* (* 1/2 t) (* y (/ (/ y z) z))) y) (fma.f64 (*.f64 (/.f64 (/.f64 y z) z) y) (*.f64 #s(literal 1/2 binary64) t) y))
(fma.f64 (*.f64 (/.f64 (/.f64 y z) z) y) (*.f64 #s(literal 1/2 binary64) t) y)
(fma.f64 (*.f64 (/.f64 (/.f64 y z) z) y) #s(literal 1/2 binary64) (/.f64 y t))
(/.f64 #s(literal 1/2 binary64) z)
#s(literal 1/2 binary64)
z
(*.f64 (/.f64 y z) y)
(*.f64 y y)
y
(/.f64 y t)
t
(neg.f64 z)
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (/.f64 #s(literal -4 binary64) y) (*.f64 #s(literal -2 binary64) z))) t)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (/.f64 #s(literal -4 binary64) y) (*.f64 #s(literal -2 binary64) z))) t)) x) #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (/.f64 #s(literal -4 binary64) y) (*.f64 #s(literal -2 binary64) z))) t)) (*.f64 x x)))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (/.f64 #s(literal -4 binary64) y) (*.f64 #s(literal -2 binary64) z))) t)) #s(literal 3 binary64))) (fma.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (/.f64 #s(literal -4 binary64) y) (*.f64 #s(literal -2 binary64) z))) t)) x) #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (/.f64 #s(literal -4 binary64) y) (*.f64 #s(literal -2 binary64) z))) t)) (*.f64 x x)))
(*.f64 (fma.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (/.f64 #s(literal -4 binary64) y) (*.f64 #s(literal -2 binary64) z))) t)) x) #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (/.f64 #s(literal -4 binary64) y) (*.f64 #s(literal -2 binary64) z))) t)) (*.f64 x x)) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(fma.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (/.f64 #s(literal -4 binary64) y) (*.f64 #s(literal -2 binary64) z))) t)) x) #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (/.f64 #s(literal -4 binary64) y) (*.f64 #s(literal -2 binary64) z))) t)) (*.f64 x x))
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (/.f64 #s(literal -4 binary64) y) (*.f64 #s(literal -2 binary64) z))) t))
(/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (/.f64 #s(literal -4 binary64) y) (*.f64 #s(literal -2 binary64) z))) t)
#s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (/.f64 #s(literal -4 binary64) y) (*.f64 #s(literal -2 binary64) z)))
(fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (/.f64 #s(literal -4 binary64) y) (*.f64 #s(literal -2 binary64) z))
(fma.f64 (/.f64 (/.f64 #s(literal -4 binary64) y) t) (*.f64 z z) #s(literal -2 binary64))
(*.f64 (/.f64 (/.f64 z y) t) z)
(*.f64 (/.f64 z t) z)
(/.f64 z t)
z
t
y
#s(literal -4 binary64)
#s(literal -2 binary64)
(+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (/.f64 #s(literal -4 binary64) y) (*.f64 #s(literal -2 binary64) z))) t)) x)
(*.f64 x x)
(*.f64 (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (/.f64 #s(literal -4 binary64) y) (*.f64 #s(literal -2 binary64) z))) t)) #s(literal 3 binary64)) (fma.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (/.f64 #s(literal -4 binary64) y) (*.f64 #s(literal -2 binary64) z))) t)) x) #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (/.f64 #s(literal -4 binary64) y) (*.f64 #s(literal -2 binary64) z))) t)) (*.f64 x x)))
(pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (/.f64 #s(literal -4 binary64) y) (*.f64 #s(literal -2 binary64) z))) t)) #s(literal 3 binary64))
(*.f64 (fma.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (/.f64 #s(literal -4 binary64) y) (*.f64 #s(literal -2 binary64) z))) t)) x) #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (/.f64 #s(literal -4 binary64) y) (*.f64 #s(literal -2 binary64) z))) t)) (*.f64 x x)) (fma.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (/.f64 #s(literal -4 binary64) y) (*.f64 #s(literal -2 binary64) z))) t)) x) #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (/.f64 #s(literal -4 binary64) y) (*.f64 #s(literal -2 binary64) z))) t)) (*.f64 x x)))

localize587.0ms (6.4%)

Memory
-20.0MiB live, 232.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy7.954971690343686
(/.f64 (*.f64 (/.f64 z t) z) y)
accuracy13.22296982796692
(*.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x)) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) #s(literal 3 binary64)))
accuracy29.438920427493578
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t))
accuracy45.87332052173724
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x))) (*.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x)) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x)) (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x))))
accuracy8.453202069881037
(/.f64 (*.f64 y y) z)
accuracy10.018640771513942
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 y y) z) (/.f64 y t)) t)
accuracy34.13880281518361
#s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 #s(approx (+ (* (* 1/2 t) (* y (/ (/ y z) z))) y) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 y y) z) (/.f64 y t)) t)) (neg.f64 z)))
accuracy44.42438741781761
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 #s(approx (+ (* (* 1/2 t) (* y (/ (/ y z) z))) y) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 y y) z) (/.f64 y t)) t)) (neg.f64 z))))
accuracy0
(/.f64 (*.f64 #s(literal 2 binary64) z) t)
accuracy0
(*.f64 #s(literal 2 binary64) z)
accuracy22.60161812163784
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (/.f64 (*.f64 #s(literal 2 binary64) z) t)))
accuracy30.507071016940433
#s(approx (+ (* (/ 2 t) z) x) (/.f64 (*.f64 #s(literal 2 binary64) z) t))
accuracy0
(/.f64 #s(literal -1 binary64) z)
accuracy0.20703125
(*.f64 (/.f64 #s(literal -1 binary64) z) y)
accuracy33.72919434045912
#s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (*.f64 (/.f64 #s(literal -1 binary64) z) y))
accuracy44.42438741781761
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (*.f64 (/.f64 #s(literal -1 binary64) z) y)))
accuracy0.0390625
(*.f64 (fma.f64 (/.f64 (*.f64 z z) (*.f64 t y)) #s(literal -4 binary64) #s(literal -2 binary64)) z)
accuracy1.6906120361143158
(/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z z) (*.f64 t y)) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)
accuracy10.444193658359595
(/.f64 (*.f64 z z) (*.f64 t y))
accuracy29.438920427493578
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z z) (*.f64 t y)) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t))
Samples
514.0ms256×0valid
Compiler

Compiled 2 859 to 167 computations (94.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 392.0ms
ival-mult: 220.0ms (56.1% of total)
ival-div: 145.0ms (37% of total)
ival-pow: 12.0ms (3.1% of total)
ival-add: 10.0ms (2.6% of total)
ival-sub: 3.0ms (0.8% of total)
exact: 1.0ms (0.3% of total)
ival-neg: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series520.0ms (5.6%)

Memory
7.6MiB live, 355.4MiB allocated
Counts
26 → 924
Calls
Call 1
Inputs
#s(alt #<batchref> (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z z) (*.f64 t y)) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z z) (*.f64 t y)) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z z) (*.f64 t y)) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z z) (*.f64 t y)) #s(literal -4 binary64) #s(literal -2 binary64)) z)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal -1 binary64) z) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (*.f64 (/.f64 #s(literal -1 binary64) z) y))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (*.f64 (/.f64 #s(literal -1 binary64) z) y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (/.f64 (*.f64 #s(literal 2 binary64) z) t))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (/ 2 t) z) x) (/.f64 (*.f64 #s(literal 2 binary64) z) t)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (*.f64 #s(literal 2 binary64) z) t) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) z) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 y y) z) (/.f64 y t)) t) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 #s(approx (+ (* (* 1/2 t) (* y (/ (/ y z) z))) y) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 y y) z) (/.f64 y t)) t)) (neg.f64 z)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 #s(approx (+ (* (* 1/2 t) (* y (/ (/ y z) z))) y) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 y y) z) (/.f64 y t)) t)) (neg.f64 z))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(approx (+ (* (* 1/2 t) (* y (/ (/ y z) z))) y) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 y y) z) (/.f64 y t)) t)) (neg.f64 z)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x))) (*.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x)) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x)) (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x))) (*.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x)) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (*.f64 z z) (*.f64 t y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 (*.f64 z z) (*.f64 t y)) #s(literal -4 binary64) #s(literal -2 binary64)) z) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (*.f64 y y) z) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x)) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (*.f64 (/.f64 z t) z) y) #<representation binary64>) () ())
Outputs
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z z) (*.f64 t y)) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z z) (*.f64 t y)) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z z) (*.f64 t y)) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z z) (*.f64 t y)) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z z) (*.f64 t y)) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z z) (*.f64 t y)) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 t) (#s(alt #<batchref> (patch #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z z) (*.f64 t y)) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x)) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x)) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
95.0ms
y
@inf
((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) t) (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (* (/ -1 z) y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/ -1 z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (/ (* 2 z) t) (* 2 z) (* (+ (* (/ 1/2 z) (/ (* y y) z)) (/ y t)) t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/ (+ (* (* 1/2 t) (* y (/ (/ y z) z))) y) (neg z)) (/ (- (* (pow x 3) (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x))) (* (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)) (pow (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) 3))) (* (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)) (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)))) (- (* (pow x 3) (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x))) (* (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)) (pow (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) 3))) (* (pow x 3) (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x))) (pow x 3) (/ (* z z) (* t y)) (* (+ (* (/ (* z z) (* t y)) -4) -2) z) (/ (* y y) z) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)) (pow (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) 3)) (/ (* (/ z t) z) y))
81.0ms
y
@-inf
((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) t) (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (* (/ -1 z) y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/ -1 z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (/ (* 2 z) t) (* 2 z) (* (+ (* (/ 1/2 z) (/ (* y y) z)) (/ y t)) t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/ (+ (* (* 1/2 t) (* y (/ (/ y z) z))) y) (neg z)) (/ (- (* (pow x 3) (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x))) (* (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)) (pow (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) 3))) (* (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)) (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)))) (- (* (pow x 3) (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x))) (* (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)) (pow (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) 3))) (* (pow x 3) (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x))) (pow x 3) (/ (* z z) (* t y)) (* (+ (* (/ (* z z) (* t y)) -4) -2) z) (/ (* y y) z) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)) (pow (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) 3)) (/ (* (/ z t) z) y))
75.0ms
y
@0
((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) t) (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (* (/ -1 z) y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/ -1 z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (/ (* 2 z) t) (* 2 z) (* (+ (* (/ 1/2 z) (/ (* y y) z)) (/ y t)) t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/ (+ (* (* 1/2 t) (* y (/ (/ y z) z))) y) (neg z)) (/ (- (* (pow x 3) (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x))) (* (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)) (pow (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) 3))) (* (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)) (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)))) (- (* (pow x 3) (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x))) (* (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)) (pow (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) 3))) (* (pow x 3) (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x))) (pow x 3) (/ (* z z) (* t y)) (* (+ (* (/ (* z z) (* t y)) -4) -2) z) (/ (* y y) z) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)) (pow (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) 3)) (/ (* (/ z t) z) y))
53.0ms
z
@0
((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) t) (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (* (/ -1 z) y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/ -1 z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (/ (* 2 z) t) (* 2 z) (* (+ (* (/ 1/2 z) (/ (* y y) z)) (/ y t)) t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/ (+ (* (* 1/2 t) (* y (/ (/ y z) z))) y) (neg z)) (/ (- (* (pow x 3) (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x))) (* (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)) (pow (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) 3))) (* (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)) (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)))) (- (* (pow x 3) (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x))) (* (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)) (pow (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) 3))) (* (pow x 3) (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x))) (pow x 3) (/ (* z z) (* t y)) (* (+ (* (/ (* z z) (* t y)) -4) -2) z) (/ (* y y) z) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)) (pow (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) 3)) (/ (* (/ z t) z) y))
17.0ms
t
@0
((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) t) (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (* (/ -1 z) y) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/ -1 z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ 2 t) z) x) (/ (* 2 z) t) (* 2 z) (* (+ (* (/ 1/2 z) (/ (* y y) z)) (/ y t)) t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/ (+ (* (* 1/2 t) (* y (/ (/ y z) z))) y) (neg z)) (/ (- (* (pow x 3) (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x))) (* (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)) (pow (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) 3))) (* (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)) (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)))) (- (* (pow x 3) (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x))) (* (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)) (pow (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) 3))) (* (pow x 3) (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x))) (pow x 3) (/ (* z z) (* t y)) (* (+ (* (/ (* z z) (* t y)) -4) -2) z) (/ (* y y) z) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (+ (* (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (+ (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) x)) (* x x)) (pow (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) 3)) (/ (* (/ z t) z) y))

simplify268.0ms (2.9%)

Memory
22.2MiB live, 378.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0196539159
1651538972
0846936877
Stop Event
iter limit
node limit
Counts
924 → 875
Calls
Call 1
Inputs
(- x (/ y z))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(/ y z)
(+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z))
(+ (* t (+ (* 1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3))))) (/ y z))
(+ (* t (+ (* 1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* 1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))))) (/ y z))
(* -4 (/ (pow z 3) (* (pow t 2) y)))
(/ (+ (* -4 (/ (pow z 3) y)) (* -2 (* t z))) (pow t 2))
(/ (+ (* -4 (/ (pow z 3) y)) (* -2 (* t z))) (pow t 2))
(/ (+ (* -4 (/ (pow z 3) y)) (* -2 (* t z))) (pow t 2))
(* -4 (/ (pow z 3) (* t y)))
(/ (+ (* -4 (/ (pow z 3) y)) (* -2 (* t z))) t)
(/ (+ (* -4 (/ (pow z 3) y)) (* -2 (* t z))) t)
(/ (+ (* -4 (/ (pow z 3) y)) (* -2 (* t z))) t)
(- x (/ y z))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(* -1 (/ y z))
(+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3))))
(+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* -1/4 (/ (* t (pow y 3)) (pow z 5))))))
(+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* -1/4 (/ (pow y 3) (pow z 5))) (* -1/8 (/ (* t (pow y 4)) (pow z 7))))))))
(- x (/ y z))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(* 2 (/ z t))
(/ (+ (* 2 z) (* t x)) t)
(/ (+ (* 2 z) (* t x)) t)
(/ (+ (* 2 z) (* t x)) t)
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
(* 2 (/ z t))
y
(+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2))))
(+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2))))
(+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2))))
(- x (/ y z))
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z))
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z))
(* -1 (/ y z))
(+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3))))
(+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* -1/4 (/ (* t (pow y 3)) (pow z 5))))))
(+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* -1/4 (/ (pow y 3) (pow z 5))) (* -1/8 (/ (* t (pow y 4)) (pow z 7))))))))
(* -1 (/ y z))
(+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3))))
(+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3))))
(+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3))))
(/ (- (* (pow x 3) (+ (/ (* y (+ x (/ y z))) z) (pow x 2))) (/ (* (pow y 3) (+ (/ (* y (+ x (/ y z))) z) (pow x 2))) (pow z 3))) (pow (+ (/ (* y (+ x (/ y z))) z) (pow x 2)) 2))
(- (+ (* t (- (* 2 (/ (* (pow x 3) (- (* 1/4 (/ (pow y 3) (pow z 4))) (* -1/4 (/ (* (pow y 2) (+ x (/ y z))) (pow z 3))))) (pow (+ (/ (* y (+ x (/ y z))) z) (pow x 2)) 2))) (+ (* 4 (/ (* (- (* 1/4 (/ (pow y 3) (pow z 4))) (* -1/4 (/ (* (pow y 2) (+ x (/ y z))) (pow z 3)))) (- (* (pow x 3) (+ (/ (* y (+ x (/ y z))) z) (pow x 2))) (/ (* (pow y 3) (+ (/ (* y (+ x (/ y z))) z) (pow x 2))) (pow z 3)))) (pow (+ (/ (* y (+ x (/ y z))) z) (pow x 2)) 3))) (* 8 (/ (- (* 1/4 (/ (* (pow y 3) (- (* 1/4 (/ (pow y 3) (pow z 4))) (* -1/4 (/ (* (pow y 2) (+ x (/ y z))) (pow z 3))))) (pow z 3))) (* 1/64 (/ (* (pow y 3) (* (+ (* -8 (* y (pow z 4))) (* -4 (* y (pow z 4)))) (+ (/ (* y (+ x (/ y z))) z) (pow x 2)))) (pow z 9)))) (pow (+ (/ (* y (+ x (/ y z))) z) (pow x 2)) 2)))))) (/ (pow x 3) (+ (/ (* y (+ x (/ y z))) z) (pow x 2)))) (/ (pow y 3) (* (pow z 3) (+ (/ (* y (+ x (/ y z))) z) (pow x 2)))))
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(* (pow x 3) (+ (* -2 (/ (* z (+ x (* -2 (/ z t)))) t)) (pow x 2)))
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(/ (pow z 2) (* t y))
(/ (pow z 2) (* t y))
(/ (pow z 2) (* t y))
(/ (pow z 2) (* t y))
(* -2 z)
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(+ (* -4 (/ (pow z 3) (* t y))) (* -2 z))
(+ (* -4 (/ (pow z 3) (* t y))) (* -2 z))
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
(/ (pow y 2) z)
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(+ (* -2 (/ z t)) (* -1 (/ (+ (* 4 (/ (pow z 3) (pow t 2))) (* 8 (/ (pow z 5) (* (pow t 3) y)))) y)))
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(/ (pow z 2) (* t y))
(/ (pow z 2) (* t y))
(/ (pow z 2) (* t y))
(/ (pow z 2) (* t y))
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(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
(* 2 (/ z t))
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(+ x (* 2 (/ z t)))
(+ x (* 2 (/ z t)))
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(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
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(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
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(+ x (* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))
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(* -32 (/ (* (pow y 5) (pow z 5)) (pow (- (* 2 (pow z 2)) (* t y)) 5)))
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(- (* x (- (* -8 (/ (* x (* (pow y 3) (pow z 3))) (pow (- (* 2 (pow z 2)) (* t y)) 3))) (* 16 (/ (* (pow y 4) (pow z 4)) (pow (- (* 2 (pow z 2)) (* t y)) 4))))) (* 32 (/ (* (pow y 5) (pow z 5)) (pow (- (* 2 (pow z 2)) (* t y)) 5))))
(- (* x (- (* x (- (* 4 (/ (* x (* (pow y 2) (pow z 2))) (pow (- (* 2 (pow z 2)) (* t y)) 2))) (* 8 (/ (* (pow y 3) (pow z 3)) (pow (- (* 2 (pow z 2)) (* t y)) 3))))) (* 16 (/ (* (pow y 4) (pow z 4)) (pow (- (* 2 (pow z 2)) (* t y)) 4))))) (* 32 (/ (* (pow y 5) (pow z 5)) (pow (- (* 2 (pow z 2)) (* t y)) 5))))
(* 4 (/ (* (pow x 3) (* (pow y 2) (pow z 2))) (pow (- (* 2 (pow z 2)) (* t y)) 2)))
(* (pow x 3) (+ (* 2 (/ (* x (* y z)) (- (* 2 (pow z 2)) (* t y)))) (* 4 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2)))))
(* (pow x 3) (+ (* 4 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2))) (* x (+ x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))))))
(* (pow x 3) (+ (* 4 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2))) (* x (+ x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 32 (/ (* (pow y 5) (pow z 5)) (pow (- (* 2 (pow z 2)) (* t y)) 5)))
(+ (* 16 (/ (* x (* (pow y 4) (pow z 4))) (pow (- (* 2 (pow z 2)) (* t y)) 4))) (* 32 (/ (* (pow y 5) (pow z 5)) (pow (- (* 2 (pow z 2)) (* t y)) 5))))
(+ (* 32 (/ (* (pow y 5) (pow z 5)) (pow (- (* 2 (pow z 2)) (* t y)) 5))) (* x (+ (* 8 (/ (* x (* (pow y 3) (pow z 3))) (pow (- (* 2 (pow z 2)) (* t y)) 3))) (* 16 (/ (* (pow y 4) (pow z 4)) (pow (- (* 2 (pow z 2)) (* t y)) 4))))))
(+ (* 32 (/ (* (pow y 5) (pow z 5)) (pow (- (* 2 (pow z 2)) (* t y)) 5))) (* x (+ (* 8 (/ (* x (* (pow y 3) (pow z 3))) (pow (- (* 2 (pow z 2)) (* t y)) 3))) (* 16 (/ (* (pow y 4) (pow z 4)) (pow (- (* 2 (pow z 2)) (* t y)) 4))))))
x
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
x
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
x
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
x
(* x (+ 1 (* 2 (/ z (* t x)))))
(* x (+ 1 (* 2 (/ z (* t x)))))
(* x (+ 1 (* 2 (/ z (* t x)))))
x
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
x
(* x (- (+ 1 (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))) (* 4 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (- (+ 1 (+ (* -1 (/ (+ (* 4 (/ (* y (* z (- (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) (* 4 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))))) (- (* 2 (pow z 2)) (* t y)))) (* 8 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2)))) (pow x 2))) (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) (* 4 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* x (- (+ 1 (+ (* -8 (/ (* (pow y 3) (pow z 3)) (* (pow x 3) (pow (- (* 2 (pow z 2)) (* t y)) 3)))) (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) (+ (* -4 (/ (* y (* z (+ (* 4 (/ (* y (* z (- (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) (* 4 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))))) (- (* 2 (pow z 2)) (* t y)))) (* 8 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2)))))) (* (pow x 3) (- (* 2 (pow z 2)) (* t y))))) (+ (* 4 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) (+ (* 4 (/ (* y (* z (- (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) (* 4 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))))) (* (pow x 2) (- (* 2 (pow z 2)) (* t y))))) (+ (* 8 (/ (* (pow y 2) (pow z 2)) (* (pow x 2) (pow (- (* 2 (pow z 2)) (* t y)) 2)))) (+ (* 16 (/ (* (pow y 3) (pow z 3)) (* (pow x 3) (pow (- (* 2 (pow z 2)) (* t y)) 3)))) (/ (* (+ (* 4 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2))) (* 8 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2)))) (- (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) (* 4 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))))) (pow x 3)))))))))
(pow x 5)
(* (pow x 5) (+ 1 (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* (pow x 5) (+ 1 (+ (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) (* 4 (/ (* (pow y 2) (pow z 2)) (* (pow x 2) (pow (- (* 2 (pow z 2)) (* t y)) 2)))))))
(* (pow x 5) (+ 1 (+ (* -8 (/ (* (pow y 3) (pow z 3)) (* (pow x 3) (pow (- (* 2 (pow z 2)) (* t y)) 3)))) (+ (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) (* 4 (/ (* (pow y 2) (pow z 2)) (* (pow x 2) (pow (- (* 2 (pow z 2)) (* t y)) 2))))))))
(pow x 5)
(* (pow x 5) (+ 1 (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y)))))))
(* (pow x 5) (+ 1 (+ (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) (* 4 (/ (* (pow y 2) (pow z 2)) (* (pow x 2) (pow (- (* 2 (pow z 2)) (* t y)) 2)))))))
(* (pow x 5) (+ 1 (+ (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) (* 4 (/ (* (pow y 2) (pow z 2)) (* (pow x 2) (pow (- (* 2 (pow z 2)) (* t y)) 2)))))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 8 (/ (* (pow x 2) (* (pow y 3) (pow z 3))) (pow (- (* 2 (pow z 2)) (* t y)) 3)))
(* (pow x 2) (+ (* 8 (/ (* (pow y 3) (pow z 3)) (pow (- (* 2 (pow z 2)) (* t y)) 3))) (* 16 (/ (* (pow y 4) (pow z 4)) (* x (pow (- (* 2 (pow z 2)) (* t y)) 4))))))
(* (pow x 2) (+ (* 8 (/ (* (pow y 3) (pow z 3)) (pow (- (* 2 (pow z 2)) (* t y)) 3))) (+ (* 16 (/ (* (pow y 4) (pow z 4)) (* x (pow (- (* 2 (pow z 2)) (* t y)) 4)))) (* 32 (/ (* (pow y 5) (pow z 5)) (* (pow x 2) (pow (- (* 2 (pow z 2)) (* t y)) 5)))))))
(* (pow x 2) (+ (* 8 (/ (* (pow y 3) (pow z 3)) (pow (- (* 2 (pow z 2)) (* t y)) 3))) (+ (* 16 (/ (* (pow y 4) (pow z 4)) (* x (pow (- (* 2 (pow z 2)) (* t y)) 4)))) (* 32 (/ (* (pow y 5) (pow z 5)) (* (pow x 2) (pow (- (* 2 (pow z 2)) (* t y)) 5)))))))
x
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
x
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
x
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
x
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
(* -1 (* x (- (* -2 (/ z (* t x))) 1)))
x
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
x
(* -1 (* x (- (* -1 (/ (- (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) (* 4 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (* -4 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2))) (+ (* -4 (/ (* y (* z (- (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) (* 4 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))))) (- (* 2 (pow z 2)) (* t y)))) (* -1 (+ (* 4 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2))) (* 8 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2))))))) x)) (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) (* 4 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2))) (* -1 (/ (- (* -8 (/ (* (pow y 3) (pow z 3)) (pow (- (* 2 (pow z 2)) (* t y)) 3))) (+ (* -4 (/ (* y (* z (- (* -4 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2))) (+ (* -4 (/ (* y (* z (- (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) (* 4 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))))) (- (* 2 (pow z 2)) (* t y)))) (* -1 (+ (* 4 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2))) (* 8 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2))))))))) (- (* 2 (pow z 2)) (* t y)))) (+ (* 16 (/ (* (pow y 3) (pow z 3)) (pow (- (* 2 (pow z 2)) (* t y)) 3))) (* (+ (* 4 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2))) (* 8 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2)))) (- (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) (* 4 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))))))) x))) (+ (* -4 (/ (* y (* z (- (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) (* 4 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))))) (- (* 2 (pow z 2)) (* t y)))) (* -1 (+ (* 4 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2))) (* 8 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2))))))) x)) (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) (* 4 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) x)) 1)))
(pow x 5)
(* -1 (* (pow x 5) (- (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) (* 4 (/ (* (pow y 2) (pow z 2)) (* x (pow (- (* 2 (pow z 2)) (* t y)) 2))))) x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (* (pow y 2) (pow z 2)) (pow (- (* 2 (pow z 2)) (* t y)) 2))) (* 8 (/ (* (pow y 3) (pow z 3)) (* x (pow (- (* 2 (pow z 2)) (* t y)) 3))))) x)) (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) x)) 1)))
(pow x 5)
(* -1 (* (pow x 5) (- (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) (* 4 (/ (* (pow y 2) (pow z 2)) (* x (pow (- (* 2 (pow z 2)) (* t y)) 2))))) x)) 1)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) (* 4 (/ (* (pow y 2) (pow z 2)) (* x (pow (- (* 2 (pow z 2)) (* t y)) 2))))) x)) 1)))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 8 (/ (* (pow x 2) (* (pow y 3) (pow z 3))) (pow (- (* 2 (pow z 2)) (* t y)) 3)))
(* (pow x 2) (+ (* 8 (/ (* (pow y 3) (pow z 3)) (pow (- (* 2 (pow z 2)) (* t y)) 3))) (* 16 (/ (* (pow y 4) (pow z 4)) (* x (pow (- (* 2 (pow z 2)) (* t y)) 4))))))
(* (pow x 2) (+ (* -1 (/ (+ (* -32 (/ (* (pow y 5) (pow z 5)) (* x (pow (- (* 2 (pow z 2)) (* t y)) 5)))) (* -16 (/ (* (pow y 4) (pow z 4)) (pow (- (* 2 (pow z 2)) (* t y)) 4)))) x)) (* 8 (/ (* (pow y 3) (pow z 3)) (pow (- (* 2 (pow z 2)) (* t y)) 3)))))
(* (pow x 2) (+ (* -1 (/ (+ (* -32 (/ (* (pow y 5) (pow z 5)) (* x (pow (- (* 2 (pow z 2)) (* t y)) 5)))) (* -16 (/ (* (pow y 4) (pow z 4)) (pow (- (* 2 (pow z 2)) (* t y)) 4)))) x)) (* 8 (/ (* (pow y 3) (pow z 3)) (pow (- (* 2 (pow z 2)) (* t y)) 3)))))
Outputs
(-.f64 x (/.f64 y z))
(-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 y y) t) (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64) x) (/.f64 y z))
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(/.f64 y z)
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(-.f64 x (/.f64 y z))
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(-.f64 x (/.f64 y z))
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y
(fma.f64 (/.f64 (*.f64 (*.f64 y y) t) (*.f64 z z)) #s(literal 1/2 binary64) y)
(fma.f64 (/.f64 (*.f64 (*.f64 y y) t) (*.f64 z z)) #s(literal 1/2 binary64) y)
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(-.f64 x (/.f64 y z))
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(-.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) #s(literal -1/4 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) t)) (pow.f64 z #s(literal 7 binary64)))) t (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (pow.f64 z #s(literal 3 binary64)))) t x) (/.f64 y z))
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rewrite204.0ms (2.2%)

Memory
24.0MiB live, 334.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0851408
01241315
15331122
239521112
082131081
Stop Event
iter limit
node limit
iter limit
Counts
26 → 455
Calls
Call 1
Inputs
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(/.f64 (*.f64 (/.f64 z t) z) y)
Outputs
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eval639.0ms (6.9%)

Memory
-70.0MiB live, 1 075.3MiB allocated
Compiler

Compiled 662 068 to 5 923 computations (99.1% saved)

prune90.0ms (1%)

Memory
-9.9MiB live, 226.6MiB allocated
Pruning

17 alts after pruning (7 fresh and 10 done)

PrunedKeptTotal
New2 24642 250
Fresh033
Picked145
Done066
Total2 247172 264
Accuracy
99.3%
Counts
2 264 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
14.5%
(/.f64 (fma.f64 (*.f64 (neg.f64 (fma.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) x) #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) (*.f64 x x))) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) #s(literal 2 binary64))) #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) (*.f64 (fma.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) x) #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) (*.f64 x x)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x)) (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x))))
12.9%
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x))) (/.f64 (*.f64 (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) x) #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) x) #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) (*.f64 (neg.f64 x) x)))) (*.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x)) (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x))))
14.4%
(/.f64 (*.f64 (fma.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) x) #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) x) #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) (*.f64 x x)) #s(literal 2 binary64)))
55.9%
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z t)) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)))
54.0%
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z z) (*.f64 t y)) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)))
60.5%
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
20.7%
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x)) #s(literal -1 binary64)))
6.6%
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) x) #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (fma.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) x) #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) #s(literal 3 binary64)))))) #s(literal -1 binary64)))
64.6%
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x))
21.7%
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y)))))
18.2%
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (/.f64 (*.f64 #s(literal 2 binary64) z) t)))
18.1%
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)))
12.8%
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 y (/.f64 (/.f64 y z) z)) y) (neg.f64 z))))
14.7%
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z)))
8.6%
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 #s(approx (+ (* (* 1/2 t) (* y (/ (/ y z) z))) y) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 y y) z) (/.f64 y t)) t)) (neg.f64 z))))
14.7%
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 #s(literal -1 binary64) (/.f64 z y))))
14.7%
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (*.f64 (/.f64 #s(literal -1 binary64) z) y)))
Compiler

Compiled 4 756 to 741 computations (84.4% saved)

regimes59.0ms (0.6%)

Memory
-29.3MiB live, 90.9MiB allocated
Counts
23 → 2
Calls
Call 1
Inputs
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z)))
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (*.f64 (/.f64 #s(literal -1 binary64) z) y)))
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)))
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))))
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (/.f64 (*.f64 #s(literal 2 binary64) z) t)))
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x))
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t))))
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 #s(literal -1 binary64) (/.f64 z y))))
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(literal 1 binary64) (/.f64 z y))))
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y)))))
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z z) (*.f64 t y)) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)))
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) (*.f64 y (/.f64 (/.f64 y z) z)) y) (neg.f64 z))))
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z t)) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)))
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 #s(approx (+ (* (* 1/2 t) (* y (/ (/ y z) z))) y) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 y y) z) (/.f64 y t)) t)) (neg.f64 z))))
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t)))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x)) #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) x) #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) x) #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) (*.f64 x x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x))) (*.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x)) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x)) (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x))))
(/.f64 (fma.f64 (*.f64 (neg.f64 (fma.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) x) #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) (*.f64 x x))) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) #s(literal 2 binary64))) #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) (*.f64 (fma.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) x) #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) (*.f64 x x)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x)) (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (fma.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) x) #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (fma.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) x) #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) #s(literal 3 binary64)))))) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x))) (/.f64 (*.f64 (pow.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) x) #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) x) #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (/.f64 z t)) (/.f64 z y) #s(literal -2 binary64)) z)) t)) (*.f64 (neg.f64 x) x)))) (*.f64 (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x)) (fma.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) (+.f64 #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(approx (+ (* (/ -4 t) (/ (pow z 3) y)) (* -2 z)) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 z t) z) y) #s(literal -4 binary64) #s(literal -2 binary64)) z)) t)) x) (*.f64 x x))))
Outputs
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
Calls

6 calls:

20.0ms
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
8.0ms
z
7.0ms
y
7.0ms
t
7.0ms
x
Results
AccuracySegmentsBranch
84.1%1x
85.8%2y
93.1%3z
84.1%1t
92.9%2(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
92.5%2(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))
Compiler

Compiled 36 to 41 computations (-13.9% saved)

regimes14.0ms (0.1%)

Memory
-11.6MiB live, 27.5MiB allocated
Counts
11 → 3
Calls
Call 1
Inputs
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z)))
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (*.f64 (/.f64 #s(literal -1 binary64) z) y)))
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)))
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))))
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (/.f64 (*.f64 #s(literal 2 binary64) z) t)))
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x))
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t))))
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 #s(literal -1 binary64) (/.f64 z y))))
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 #s(literal 1 binary64) (/.f64 z y))))
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y)))))
Outputs
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t))))
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
Calls

3 calls:

4.0ms
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
4.0ms
z
4.0ms
(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))
Results
AccuracySegmentsBranch
91.1%3z
70.9%3(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))
69.4%2(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
Compiler

Compiled 33 to 29 computations (12.1% saved)

regimes4.0ms (0%)

Memory
5.6MiB live, 5.6MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z)))
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (*.f64 (/.f64 #s(literal -1 binary64) z) y)))
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)))
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))))
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (/.f64 (*.f64 #s(literal 2 binary64) z) t)))
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x))
Outputs
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x))
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
Calls

1 calls:

3.0ms
z
Results
AccuracySegmentsBranch
91.1%3z
Compiler

Compiled 1 to 4 computations (-300% saved)

regimes19.0ms (0.2%)

Memory
-10.6MiB live, 27.4MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z)))
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (*.f64 (/.f64 #s(literal -1 binary64) z) y)))
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)))
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))))
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ 2 t) z) x) (/.f64 (*.f64 #s(literal 2 binary64) z) t)))
Outputs
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
Calls

6 calls:

5.0ms
x
3.0ms
z
3.0ms
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
3.0ms
y
3.0ms
t
Results
AccuracySegmentsBranch
60.5%1(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))
60.5%1(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
60.5%1x
60.5%1t
60.5%1y
60.5%1z
Compiler

Compiled 36 to 41 computations (-13.9% saved)

regimes8.0ms (0.1%)

Memory
17.5MiB live, 17.5MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z)))
Outputs
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z)))
Calls

6 calls:

1.0ms
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
1.0ms
z
1.0ms
x
1.0ms
y
1.0ms
t
Results
AccuracySegmentsBranch
14.7%1t
14.7%1z
14.7%1y
14.7%1(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))
14.7%1x
14.7%1(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))
Compiler

Compiled 36 to 41 computations (-13.9% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.635756767072214e+290
6.936495651362311e+293
Compiler

Compiled 20 to 20 computations (0% saved)

bsearch37.0ms (0.4%)

Memory
2.1MiB live, 43.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
16.0ms
2.027263118505538e-71
8.553882870504972e-63
18.0ms
-1.5633753686486193e+32
-1.541092768782914e+29
Samples
23.0ms272×0valid
Compiler

Compiled 768 to 598 computations (22.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 8.0ms (50.7% of total)
ival-sub: 6.0ms (38% of total)
ival-div: 2.0ms (12.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
3.2MiB live, 3.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.027263118505538e-71
8.553882870504972e-63
1.0ms
-1.5633753686486193e+32
-1.541092768782914e+29
Compiler

Compiled 785 to 598 computations (23.8% saved)

simplify80.0ms (0.9%)

Memory
-26.7MiB live, 47.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054264
175264
2102264
3130264
4178264
5227264
6274264
7407264
8611264
9733264
10753264
11764264
12779264
13782264
14788264
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) #s(literal 499999999999999978930451175173142066076775939048257141926258886614516577002786239313118268535951812574041306445493431857101228510021003209840763187482937088894311771724997242528629131330872974013383816137806524948480039480659075272709232330533995834790894142764502740352844098034426819117056 binary64)) (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))))
(if (<=.f64 z #s(literal -379999999999999970964410466304 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (if (<=.f64 z #s(literal 7873862068137501/926336713898529563388567880069503262826159877325124512315660672063305037119488 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 #s(literal -2 binary64) (/.f64 z t)))) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))))
(if (<=.f64 z #s(literal -379999999999999970964410466304 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (if (<=.f64 z #s(literal 7873862068137501/926336713898529563388567880069503262826159877325124512315660672063305037119488 binary64)) #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))))
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z)))
Outputs
(if (<=.f64 (-.f64 x (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 t y)))) #s(literal 499999999999999978930451175173142066076775939048257141926258886614516577002786239313118268535951812574041306445493431857101228510021003209840763187482937088894311771724997242528629131330872974013383816137806524948480039480659075272709232330533995834790894142764502740352844098034426819117056 binary64)) (-.f64 x (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 t y)))) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))))
(if (<=.f64 z #s(literal -379999999999999970964410466304 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (if (<=.f64 z #s(literal 7873862068137501/926336713898529563388567880069503262826159877325124512315660672063305037119488 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (*.f64 (/.f64 z t) #s(literal -2 binary64)))) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))))
(if (<=.f64 z #s(literal -379999999999999970964410466304 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (if (<=.f64 z #s(literal 7873862068137501/926336713898529563388567880069503262826159877325124512315660672063305037119488 binary64)) #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))))
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (* (* 2 y) (/ z (+ (* (* -2 z) z) (* t y)))) (/.f64 (neg.f64 y) z)))

soundness373.0ms (4%)

Memory
10.4MiB live, 246.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03472170
110302124
231472097
086451977
064410362
1198610185
2619210106
082809535
Stop Event
fuel
iter limit
node limit
iter limit
node limit
Compiler

Compiled 297 to 103 computations (65.3% saved)

preprocess47.0ms (0.5%)

Memory
30.5MiB live, 145.4MiB allocated
Compiler

Compiled 588 to 162 computations (72.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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