Diagrams.TwoD.Apollonian:initialConfig from diagrams-contrib-1.3.0.5, A

Time bar (total: 7.4s)

start2.0ms (0%)

Memory
-38.0MiB live, 0.2MiB allocated

analyze58.0ms (0.8%)

Memory
-3.2MiB live, 95.5MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%49.9%49.9%0.1%0%0%0%3
50%49.9%49.9%0.1%0%0%0%4
50%49.9%49.9%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
75%74.9%25%0.1%0%0%0%7
75%74.9%25%0.1%0%0%0%8
87.5%87.4%12.5%0.1%0%0%0%9
87.5%87.4%12.5%0.1%0%0%0%10
87.5%87.4%12.5%0.1%0%0%0%11
93.8%93.6%6.2%0.1%0%0%0%12
Compiler

Compiled 17 to 13 computations (23.5% saved)

sample1.1s (14.3%)

Memory
8.4MiB live, 1 511.3MiB allocated
Samples
740.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 496.0ms
ival-mult: 345.0ms (69.6% of total)
ival-div: 62.0ms (12.5% of total)
ival-sub: 37.0ms (7.5% of total)
ival-add: 37.0ms (7.5% of total)
ival-true: 7.0ms (1.4% of total)
exact: 5.0ms (1% of total)
ival-assert: 4.0ms (0.8% of total)
Bogosity

explain139.0ms (1.9%)

Memory
41.2MiB live, 271.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
700-1(-5.5666236689691344e-294 3.8684967942711317e-159 -1.8820644786551193e-187)(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
370-0-(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
00-0-z
00-0-(*.f64 x x)
00-0-(*.f64 y #s(literal 2 binary64))
00-0-(+.f64 (*.f64 x x) (*.f64 y y))
00-0-#s(literal 2 binary64)
00-0-y
00-0-(*.f64 z z)
00-0-(*.f64 y y)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))o/n690
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))overflow158
(*.f64 y y)overflow69
(*.f64 x x)overflow71
(+.f64 (*.f64 x x) (*.f64 y y))overflow122
(*.f64 z z)overflow73
-.f64(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))nan-rescue370
(*.f64 y y)overflow69
(*.f64 x x)overflow71
(+.f64 (*.f64 x x) (*.f64 y y))overflow122
(*.f64 z z)overflow73
Confusion
Predicted +Predicted -
+921
-0163
Precision
1.0
Recall
0.989247311827957
Confusion?
Predicted +Predicted MaybePredicted -
+9201
-00163
Precision?
1.0
Recall?
0.989247311827957
Freqs
test
numberfreq
0164
178
214
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
53.0ms512×0valid
Compiler

Compiled 166 to 48 computations (71.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-mult: 15.0ms (42.8% of total)
ival-add: 9.0ms (25.7% of total)
ival-div: 8.0ms (22.8% of total)
ival-sub: 2.0ms (5.7% of total)
ival-true: 1.0ms (2.9% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess234.0ms (3.2%)

Memory
-38.9MiB live, 214.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038138
1147135
2489135
32191135
46834117
01115
01815
13215
26915
313615
429515
563015
6150513
7347513
8785913
0803312
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Outputs
(/.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 2 binary64))
Symmetry

(abs z)

(abs x)

(negabs y)

Compiler

Compiled 15 to 11 computations (26.7% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.4%
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify162.0ms (2.2%)

Memory
32.4MiB live, 188.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01149
01849
13249
26949
313649
429549
563049
6150547
7347547
8785947
0803344
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
(+.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y
(*.f64 z z)
z
(*.f64 y #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(/.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 2 binary64))
(fma.f64 (-.f64 x z) (+.f64 z x) (*.f64 y y))
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
x
(*.f64 y y)
y
(*.f64 z z)
z
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)

localize49.0ms (0.7%)

Memory
-41.5MiB live, 82.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 y #s(literal 2 binary64))
accuracy0
(*.f64 x x)
accuracy8.132781537453088
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
accuracy16.07764197091104
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Samples
37.0ms256×0valid
Compiler

Compiled 100 to 24 computations (76% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-mult: 24.0ms (83.5% of total)
ival-div: 2.0ms (7% of total)
ival-sub: 1.0ms (3.5% of total)
ival-add: 1.0ms (3.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series14.0ms (0.2%)

Memory
35.8MiB live, 35.8MiB allocated
Counts
6 → 132
Calls
Call 1
Inputs
#s(alt #<batchref> (patch (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())
Outputs
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf z) (#s(alt #<batchref> (patch (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf z) (#s(alt #<batchref> (patch (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 y) (#s(alt #<batchref> (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf y) (#s(alt #<batchref> (patch (*.f64 y #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (+.f64 (*.f64 x x) (*.f64 y y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf y) (#s(alt #<batchref> (patch (*.f64 y y) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
2.0ms
y
@inf
((- (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* x x) (* y y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* y 2))
1.0ms
z
@inf
((- (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* x x) (* y y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* y 2))
1.0ms
z
@0
((- (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* x x) (* y y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* y 2))
1.0ms
y
@0
((- (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* x x) (* y y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* y 2))
1.0ms
y
@-inf
((- (+ (* x x) (* y y)) (* z z)) (+ (* x x) (* y y)) (* x x) (* y y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* y 2))

simplify114.0ms (1.5%)

Memory
-9.0MiB live, 183.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0721242
11981242
25681240
321841100
460231076
08140990
Stop Event
iter limit
node limit
Counts
132 → 132
Calls
Call 1
Inputs
(+ (pow x 2) (pow y 2))
(+ (* -1 (pow z 2)) (+ (pow x 2) (pow y 2)))
(+ (* -1 (pow z 2)) (+ (pow x 2) (pow y 2)))
(+ (* -1 (pow z 2)) (+ (pow x 2) (pow y 2)))
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(* -1 (pow z 2))
(* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1))
(* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1))
(* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1))
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* -1 (pow z 2))
(* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1))
(* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1))
(* (pow z 2) (- (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))) 1))
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(- (pow x 2) (pow z 2))
(- (+ (pow x 2) (pow y 2)) (pow z 2))
(- (+ (pow x 2) (pow y 2)) (pow z 2))
(- (+ (pow x 2) (pow y 2)) (pow z 2))
(pow x 2)
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* 1/2 (/ (- (pow x 2) (pow z 2)) y))
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(pow y 2)
(* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2))))
(* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2))))
(* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2))))
(pow y 2)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* 1/2 y)
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(pow y 2)
(* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2))))
(* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2))))
(* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ (pow z 2) (pow y 2))))
(pow y 2)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* 1/2 y)
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))
(* 2 y)
(* 2 y)
(* 2 y)
(* 2 y)
(- (pow y 2) (pow z 2))
(- (+ (pow x 2) (pow y 2)) (pow z 2))
(- (+ (pow x 2) (pow y 2)) (pow z 2))
(- (+ (pow x 2) (pow y 2)) (pow z 2))
(pow y 2)
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/2 (/ (- (pow y 2) (pow z 2)) y))
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))
(pow x 2)
(* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2))))
(* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2))))
(* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/2 (/ (pow x 2) y))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(pow x 2)
(* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2))))
(* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2))))
(* (pow x 2) (- (+ 1 (/ (pow y 2) (pow x 2))) (/ (pow z 2) (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/2 (/ (pow x 2) y))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
Outputs
(fma.f64 y y (*.f64 x x))
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x)))
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x)))
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x)))
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))
(*.f64 (neg.f64 z) z)
(fma.f64 (fma.f64 (/.f64 (/.f64 y z) z) y #s(literal -1 binary64)) (*.f64 z z) (*.f64 x x))
(fma.f64 (fma.f64 (/.f64 (/.f64 y z) z) y #s(literal -1 binary64)) (*.f64 z z) (*.f64 x x))
(fma.f64 (fma.f64 (/.f64 (/.f64 y z) z) y #s(literal -1 binary64)) (*.f64 z z) (*.f64 x x))
(*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64))
(fma.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) z (*.f64 (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) z (*.f64 (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) z (*.f64 (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 z) z)
(fma.f64 (fma.f64 (/.f64 (/.f64 y z) z) y #s(literal -1 binary64)) (*.f64 z z) (*.f64 x x))
(fma.f64 (fma.f64 (/.f64 (/.f64 y z) z) y #s(literal -1 binary64)) (*.f64 z z) (*.f64 x x))
(fma.f64 (fma.f64 (/.f64 (/.f64 y z) z) y #s(literal -1 binary64)) (*.f64 z z) (*.f64 x x))
(*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64))
(fma.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) z (*.f64 (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) z (*.f64 (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) z (*.f64 (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 x z) (+.f64 z x))
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x)))
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x)))
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x)))
(*.f64 x x)
(fma.f64 y y (*.f64 x x))
(fma.f64 y y (*.f64 x x))
(fma.f64 y y (*.f64 x x))
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y))
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 y y)
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x)))
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x)))
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x)))
(*.f64 y y)
(fma.f64 y y (*.f64 x x))
(fma.f64 y y (*.f64 x x))
(fma.f64 y y (*.f64 x x))
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 y y)
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x)))
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x)))
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x)))
(*.f64 y y)
(fma.f64 y y (*.f64 x x))
(fma.f64 y y (*.f64 x x))
(fma.f64 y y (*.f64 x x))
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(*.f64 y y)
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(*.f64 #s(literal 2 binary64) y)
(fma.f64 (neg.f64 z) z (*.f64 y y))
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x)))
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x)))
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x)))
(*.f64 y y)
(fma.f64 y y (*.f64 x x))
(fma.f64 y y (*.f64 x x))
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))
(*.f64 x x)
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x)))
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x)))
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x)))
(*.f64 x x)
(fma.f64 y y (*.f64 x x))
(fma.f64 y y (*.f64 x x))
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))
(*.f64 x x)
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x)))
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x)))
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x)))
(*.f64 x x)
(fma.f64 y y (*.f64 x x))
(fma.f64 y y (*.f64 x x))
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 (/.f64 (*.f64 x x) y) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))

rewrite173.0ms (2.3%)

Memory
14.8MiB live, 215.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01142
01842
16842
256942
0830139
Stop Event
iter limit
node limit
iter limit
Counts
6 → 542
Calls
Call 1
Inputs
(-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z))
(+.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
(*.f64 y y)
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(*.f64 y #s(literal 2 binary64))
Outputs
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eval84.0ms (1.1%)

Memory
-24.1MiB live, 125.7MiB allocated
Compiler

Compiled 20 579 to 1 687 computations (91.8% saved)

prune22.0ms (0.3%)

Memory
21.2MiB live, 59.1MiB allocated
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New66113674
Fresh000
Picked101
Done000
Total66213675
Accuracy
100.0%
Counts
675 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.0%
(fma.f64 (*.f64 z z) (/.f64 #s(literal -1/2 binary64) y) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)))
30.4%
(/.f64 (-.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 y x) (-.f64 y x))) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
53.2%
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 z z))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 #s(literal 2 binary64) y)))
41.0%
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))))
33.0%
(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 x x)) (*.f64 y #s(literal 2 binary64)))
34.6%
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y y))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) z) z) (*.f64 #s(literal 4 binary64) (*.f64 y y))))
71.3%
(*.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y))
99.9%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)))
65.7%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
32.6%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64)))
59.8%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64)))
69.3%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)))
32.1%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
Compiler

Compiled 646 to 394 computations (39% saved)

simplify148.0ms (2%)

Memory
-5.4MiB live, 188.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 2 binary64) y)
cost-diff320
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 #s(literal 2 binary64) y))
cost-diff448
(-.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 z z)))
cost-diff2944
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 z z))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 #s(literal 2 binary64) y)))
cost-diff0
(*.f64 x x)
cost-diff0
(-.f64 y z)
cost-diff0
(+.f64 y z)
cost-diff0
(*.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y))
cost-diff0
(/.f64 x y)
cost-diff0
(fma.f64 (/.f64 x y) x y)
cost-diff0
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))
cost-diff0
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
cost-diff0
(*.f64 #s(literal 1/2 binary64) y)
cost-diff0
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
cost-diff0
(/.f64 (-.f64 x z) y)
cost-diff0
(fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y)
cost-diff0
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))
cost-diff0
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038281
064259
1131257
2384255
31924255
45469255
08323254
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y)
(/.f64 (-.f64 x z) y)
(-.f64 x z)
x
z
y
(+.f64 z x)
#s(literal 1/2 binary64)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))
(fma.f64 (/.f64 x y) x y)
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
(*.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x))
(+.f64 y z)
y
z
(-.f64 y z)
(*.f64 x x)
x
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 z z))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 #s(literal 2 binary64) y)))
(-.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 z z)))
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 z z))
(/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x)))
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
x
(*.f64 z z)
z
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 #s(literal 2 binary64) y))
Outputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))
(fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)
(/.f64 (-.f64 x z) y)
(-.f64 x z)
x
z
y
(+.f64 z x)
#s(literal 1/2 binary64)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))
(fma.f64 (/.f64 x y) x y)
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x))))
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x)))
(+.f64 z y)
y
z
(-.f64 y z)
(*.f64 x x)
x
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x))))
(*.f64 y (fma.f64 (/.f64 #s(literal -2 binary64) (fma.f64 y y (*.f64 x x))) (*.f64 z z) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
(*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 (/.f64 y (fma.f64 y y (*.f64 x x))) z))
(*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 y y (*.f64 x x))) y)
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
x
(*.f64 z z)
z
(*.f64 (/.f64 #s(literal 4 binary64) (fma.f64 y y (*.f64 x x))) (*.f64 y y))

localize120.0ms (1.6%)

Memory
7.5MiB live, 187.8MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy2.5899101329035172
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 #s(literal 2 binary64) y))
accuracy3.035670460485375
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 z z))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 #s(literal 2 binary64) y)))
accuracy12.423363320804665
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 z z))
accuracy19.463970488376376
(/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x)))
accuracy0
(+.f64 y z)
accuracy0
(*.f64 x x)
accuracy2.499972476055602
(fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x))
accuracy16.09326697091104
(*.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y))
accuracy0
(/.f64 x y)
accuracy0
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))
accuracy0.07421875
(fma.f64 (/.f64 x y) x y)
accuracy21.8852934204701
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
accuracy0
(*.f64 #s(literal 1/2 binary64) y)
accuracy43.43728857417257
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
accuracy0
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))
accuracy0
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)))
accuracy0.00390625
(/.f64 (-.f64 x z) y)
accuracy0.0703125
(fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y)
Samples
96.0ms256×0valid
Compiler

Compiled 551 to 77 computations (86% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-add: 25.0ms (41.5% of total)
ival-mult: 20.0ms (33.2% of total)
ival-div: 10.0ms (16.6% of total)
ival-sub: 5.0ms (8.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series90.0ms (1.2%)

Memory
-10.2MiB live, 140.2MiB allocated
Counts
21 → 600
Calls
Call 1
Inputs
#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (/.f64 x y) x y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 y z) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 y z) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 z z))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 #s(literal 2 binary64) y))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 z z))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 #s(literal 2 binary64) y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 #s(literal 2 binary64) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 z z)) #<representation binary64>) () ())
Outputs
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 y z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 y z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 y z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (+.f64 y z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 y z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 z z))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 #s(literal 2 binary64) y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 z z))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 #s(literal 2 binary64) y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 z z))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 #s(literal 2 binary64) y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 z z))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 #s(literal 2 binary64) y))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (-.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 z z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 z z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 z z)) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
14.0ms
x
@0
((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (+ (* (/ (- x z) y) (+ z x)) y) (/ (- x z) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) x) y) (/ x y) (* (+ (* (+ y z) (- y z)) (* x x)) (/ 1/2 y)) (+ y z) (- y z) (* x x) (/ (- (* 2 y) (* (/ (* 2 y) (+ (* y y) (* x x))) (* z z))) (* (/ (* 2 y) (+ (* y y) (* x x))) (* 2 y))) (- (* 2 y) (* (/ (* 2 y) (+ (* y y) (* x x))) (* z z))) (* (/ (* 2 y) (+ (* y y) (* x x))) (* 2 y)) (* 2 y) (+ (* (+ y z) (- y z)) (* x x)) (/ (* 2 y) (+ (* y y) (* x x))) (* (/ (* 2 y) (+ (* y y) (* x x))) (* z z)))
10.0ms
y
@inf
((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (+ (* (/ (- x z) y) (+ z x)) y) (/ (- x z) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) x) y) (/ x y) (* (+ (* (+ y z) (- y z)) (* x x)) (/ 1/2 y)) (+ y z) (- y z) (* x x) (/ (- (* 2 y) (* (/ (* 2 y) (+ (* y y) (* x x))) (* z z))) (* (/ (* 2 y) (+ (* y y) (* x x))) (* 2 y))) (- (* 2 y) (* (/ (* 2 y) (+ (* y y) (* x x))) (* z z))) (* (/ (* 2 y) (+ (* y y) (* x x))) (* 2 y)) (* 2 y) (+ (* (+ y z) (- y z)) (* x x)) (/ (* 2 y) (+ (* y y) (* x x))) (* (/ (* 2 y) (+ (* y y) (* x x))) (* z z)))
9.0ms
y
@0
((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (+ (* (/ (- x z) y) (+ z x)) y) (/ (- x z) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) x) y) (/ x y) (* (+ (* (+ y z) (- y z)) (* x x)) (/ 1/2 y)) (+ y z) (- y z) (* x x) (/ (- (* 2 y) (* (/ (* 2 y) (+ (* y y) (* x x))) (* z z))) (* (/ (* 2 y) (+ (* y y) (* x x))) (* 2 y))) (- (* 2 y) (* (/ (* 2 y) (+ (* y y) (* x x))) (* z z))) (* (/ (* 2 y) (+ (* y y) (* x x))) (* 2 y)) (* 2 y) (+ (* (+ y z) (- y z)) (* x x)) (/ (* 2 y) (+ (* y y) (* x x))) (* (/ (* 2 y) (+ (* y y) (* x x))) (* z z)))
8.0ms
z
@0
((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (+ (* (/ (- x z) y) (+ z x)) y) (/ (- x z) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) x) y) (/ x y) (* (+ (* (+ y z) (- y z)) (* x x)) (/ 1/2 y)) (+ y z) (- y z) (* x x) (/ (- (* 2 y) (* (/ (* 2 y) (+ (* y y) (* x x))) (* z z))) (* (/ (* 2 y) (+ (* y y) (* x x))) (* 2 y))) (- (* 2 y) (* (/ (* 2 y) (+ (* y y) (* x x))) (* z z))) (* (/ (* 2 y) (+ (* y y) (* x x))) (* 2 y)) (* 2 y) (+ (* (+ y z) (- y z)) (* x x)) (/ (* 2 y) (+ (* y y) (* x x))) (* (/ (* 2 y) (+ (* y y) (* x x))) (* z z)))
6.0ms
y
@-inf
((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ (- x z) y) (+ z x)) y) 1/2) (+ (* (/ (- x z) y) (+ z x)) y) (/ (- x z) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ x y) x) y) 1/2) (+ (* (/ x y) x) y) (/ x y) (* (+ (* (+ y z) (- y z)) (* x x)) (/ 1/2 y)) (+ y z) (- y z) (* x x) (/ (- (* 2 y) (* (/ (* 2 y) (+ (* y y) (* x x))) (* z z))) (* (/ (* 2 y) (+ (* y y) (* x x))) (* 2 y))) (- (* 2 y) (* (/ (* 2 y) (+ (* y y) (* x x))) (* z z))) (* (/ (* 2 y) (+ (* y y) (* x x))) (* 2 y)) (* 2 y) (+ (* (+ y z) (- y z)) (* x x)) (/ (* 2 y) (+ (* y y) (* x x))) (* (/ (* 2 y) (+ (* y y) (* x x))) (* z z)))

simplify176.0ms (2.4%)

Memory
3.1MiB live, 246.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08138667
126038172
087627723
Stop Event
iter limit
node limit
Counts
600 → 586
Calls
Call 1
Inputs
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(* 1/2 (+ y (/ (pow x 2) y)))
(+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (+ y (/ (pow x 2) y))))
(+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))
(+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))
(+ y (/ (pow x 2) y))
(+ y (+ (* z (+ (* -1 (/ x y)) (/ x y))) (/ (pow x 2) y)))
(+ y (+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y)))
(+ y (+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y)))
(/ x y)
(+ (* -1 (/ z y)) (/ x y))
(+ (* -1 (/ z y)) (/ x y))
(+ (* -1 (/ z y)) (/ x y))
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
y
(+ y z)
(+ y z)
(+ y z)
y
(+ y (* -1 z))
(+ y (* -1 z))
(+ y (* -1 z))
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(* 2 y)
(+ (* -2 (/ (* y (pow z 2)) (+ (pow x 2) (pow y 2)))) (* 2 y))
(+ (* -2 (/ (* y (pow z 2)) (+ (pow x 2) (pow y 2)))) (* 2 y))
(+ (* -2 (/ (* y (pow z 2)) (+ (pow x 2) (pow y 2)))) (* 2 y))
(+ (pow x 2) (pow y 2))
(+ (* z (+ y (* -1 y))) (+ (pow x 2) (pow y 2)))
(+ (* z (+ y (+ (* -1 y) (* -1 z)))) (+ (pow x 2) (pow y 2)))
(+ (* z (+ y (+ (* -1 y) (* -1 z)))) (+ (pow x 2) (pow y 2)))
(* 2 (/ (* y (pow z 2)) (+ (pow x 2) (pow y 2))))
(* 2 (/ (* y (pow z 2)) (+ (pow x 2) (pow y 2))))
(* 2 (/ (* y (pow z 2)) (+ (pow x 2) (pow y 2))))
(* 2 (/ (* y (pow z 2)) (+ (pow x 2) (pow y 2))))
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (+ (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (+ (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z))) (* 1/2 (/ 1 y))))
(* -1 (/ (pow z 2) y))
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (/ 1 y)))
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (+ (/ x (* y z)) (+ (/ y (pow z 2)) (/ (pow x 2) (* y (pow z 2)))))) (/ 1 y)))
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (+ (/ x (* y z)) (+ (/ y (pow z 2)) (/ (pow x 2) (* y (pow z 2)))))) (/ 1 y)))
(* -1 (/ z y))
(* z (- (/ x (* y z)) (/ 1 y)))
(* z (- (/ x (* y z)) (/ 1 y)))
(* z (- (/ x (* y z)) (/ 1 y)))
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
z
(* z (+ 1 (/ y z)))
(* z (+ 1 (/ y z)))
(* z (+ 1 (/ y z)))
(* -1 z)
(* z (- (/ y z) 1))
(* z (- (/ y z) 1))
(* z (- (/ y z) 1))
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ (+ (pow x 2) (pow y 2)) (* y (pow z 2)))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ (pow x 2) (pow y 2)) (* y (pow z 2)))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ (pow x 2) (pow y 2)) (* y (pow z 2)))) (* 1/2 (/ 1 y))))
(* -2 (/ (* y (pow z 2)) (+ (pow x 2) (pow y 2))))
(* (pow z 2) (- (* 2 (/ y (pow z 2))) (* 2 (/ y (+ (pow x 2) (pow y 2))))))
(* (pow z 2) (- (* 2 (/ y (pow z 2))) (* 2 (/ y (+ (pow x 2) (pow y 2))))))
(* (pow z 2) (- (* 2 (/ y (pow z 2))) (* 2 (/ y (+ (pow x 2) (pow y 2))))))
(* -1 (pow z 2))
(* (pow z 2) (- (+ (* -1 (/ y z)) (/ y z)) 1))
(* (pow z 2) (- (+ (* -1 (/ y z)) (+ (/ y z) (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))))) 1))
(* (pow z 2) (- (+ (* -1 (/ y z)) (+ (/ y z) (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))))) 1))
(* 2 (/ (* y (pow z 2)) (+ (pow x 2) (pow y 2))))
(* 2 (/ (* y (pow z 2)) (+ (pow x 2) (pow y 2))))
(* 2 (/ (* y (pow z 2)) (+ (pow x 2) (pow y 2))))
(* 2 (/ (* y (pow z 2)) (+ (pow x 2) (pow y 2))))
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* -1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))
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(* 2 (/ (pow z 2) y))
(+ (* -2 (/ (* (pow x 2) (pow z 2)) (pow y 3))) (* 2 (/ (pow z 2) y)))
(+ (* 2 (/ (pow z 2) y)) (* (pow x 2) (+ (* -2 (/ (pow z 2) (pow y 3))) (* 2 (/ (* (pow x 2) (pow z 2)) (pow y 5))))))
(+ (* 2 (/ (pow z 2) y)) (* (pow x 2) (+ (* -2 (/ (pow z 2) (pow y 3))) (* (pow x 2) (+ (* -2 (/ (* (pow x 2) (pow z 2)) (pow y 7))) (* 2 (/ (pow z 2) (pow y 5))))))))
(* 1/2 (/ (pow x 2) y))
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(* 1/2 (/ (pow x 2) y))
(* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (+ y (* -1 (/ (pow z 2) y))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))))
(* (pow x 2) (+ (* 1/2 (/ (+ y (* -1 (/ (pow z 2) y))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y)))))
(/ (pow x 2) y)
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (/ 1 y) (/ z (* x y)))))
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (+ (/ 1 y) (+ (/ y (pow x 2)) (/ z (* x y)))))))
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (* -1 (/ (pow z 2) (* (pow x 2) y))) (+ (/ 1 y) (+ (/ y (pow x 2)) (/ z (* x y)))))))
(/ x y)
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(* x (+ (* -1 (/ z (* x y))) (/ 1 y)))
(* 1/2 (/ (pow x 2) y))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
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(* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ y (pow x 2))) (* 1/2 (/ 1 y))))
(/ (pow x 2) y)
(* (pow x 2) (+ (/ 1 y) (/ y (pow x 2))))
(* (pow x 2) (+ (/ 1 y) (/ y (pow x 2))))
(* (pow x 2) (+ (/ 1 y) (/ y (pow x 2))))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
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(* (pow x 2) (+ (* 1/2 (/ (* (+ y z) (- y z)) (* (pow x 2) y))) (* 1/2 (/ 1 y))))
(pow x 2)
(pow x 2)
(pow x 2)
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(* (pow x 2) (+ (* 1/4 (/ (+ (* -2 (* y (pow z 2))) (* 2 (* y (pow z 2)))) (pow x 4))) (+ (* 1/4 (/ (+ (* -2 (/ (pow z 2) y)) (* 2 y)) (pow x 2))) (* 1/2 (/ 1 y)))))
(* (pow x 2) (+ (* 1/4 (/ (+ (* -2 (* y (pow z 2))) (* 2 (* y (pow z 2)))) (pow x 4))) (+ (* 1/4 (/ (+ (* -2 (* (pow y 3) (pow z 2))) (* 2 (* (pow y 3) (pow z 2)))) (pow x 6))) (+ (* 1/4 (/ (+ (* -2 (/ (pow z 2) y)) (* 2 y)) (pow x 2))) (* 1/2 (/ 1 y))))))
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(/ (+ (* -4 (/ (pow y 4) (pow x 2))) (* 4 (pow y 2))) (pow x 2))
(/ (+ (* -4 (/ (pow y 4) (pow x 2))) (+ (* 4 (/ (pow y 6) (pow x 4))) (* 4 (pow y 2)))) (pow x 2))
(/ (+ (* -4 (/ (pow y 4) (pow x 2))) (+ (* -4 (/ (pow y 8) (pow x 6))) (+ (* 4 (/ (pow y 6) (pow x 4))) (* 4 (pow y 2))))) (pow x 2))
(pow x 2)
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(/ (+ (* -2 (/ (* (pow y 3) (pow z 2)) (pow x 2))) (+ (* 2 (* y (pow z 2))) (* 2 (/ (* (pow y 5) (pow z 2)) (pow x 4))))) (pow x 2))
(/ (+ (* -2 (/ (* (pow y 3) (pow z 2)) (pow x 2))) (+ (* -2 (/ (* (pow y 7) (pow z 2)) (pow x 6))) (+ (* 2 (* y (pow z 2))) (* 2 (/ (* (pow y 5) (pow z 2)) (pow x 4)))))) (pow x 2))
(* 1/2 (/ (pow x 2) y))
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(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
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(* (pow x 2) (+ (* 1/2 (/ (+ (* -1 (/ z y)) (/ z y)) x)) (* 1/2 (/ 1 y))))
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(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (/ z y)) (/ z y))) (* -1/2 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (* 1/2 (/ 1 y))))
(/ (pow x 2) y)
(* (pow x 2) (+ (* -1 (/ z (* x y))) (+ (/ 1 y) (/ z (* x y)))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ z y)) (/ z y))) (* -1 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (/ 1 y)))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ z y)) (/ z y))) (* -1 (/ (+ y (* -1 (/ (pow z 2) y))) x))) x)) (/ 1 y)))
(/ x y)
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(pow x 2)
(pow x 2)
(pow x 2)
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(* (pow x 2) (+ (* 1/4 (/ (+ (* -2 (* y (pow z 2))) (* 2 (* y (pow z 2)))) (pow x 4))) (+ (* 1/4 (/ (+ (* -2 (/ (pow z 2) y)) (* 2 y)) (pow x 2))) (* 1/2 (/ 1 y)))))
(* (pow x 2) (+ (* 1/4 (/ (+ (* -2 (* y (pow z 2))) (* 2 (* y (pow z 2)))) (pow x 4))) (+ (* 1/4 (/ (+ (* -2 (* (pow y 3) (pow z 2))) (* 2 (* (pow y 3) (pow z 2)))) (pow x 6))) (+ (* 1/4 (/ (+ (* -2 (/ (pow z 2) y)) (* 2 y)) (pow x 2))) (* 1/2 (/ 1 y))))))
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(/ (+ (* -4 (/ (pow y 4) (pow x 2))) (+ (* 4 (/ (pow y 6) (pow x 4))) (* 4 (pow y 2)))) (pow x 2))
(/ (+ (* -4 (/ (pow y 4) (pow x 2))) (+ (* -4 (/ (pow y 8) (pow x 6))) (+ (* 4 (/ (pow y 6) (pow x 4))) (* 4 (pow y 2))))) (pow x 2))
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(/ (+ (* -2 (/ (pow y 3) (pow x 2))) (+ (* -2 (/ (pow y 7) (pow x 6))) (+ (* 2 y) (* 2 (/ (pow y 5) (pow x 4)))))) (pow x 2))
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(/ (+ (* -2 (/ (* (pow y 3) (pow z 2)) (pow x 2))) (* 2 (* y (pow z 2)))) (pow x 2))
(/ (+ (* -2 (/ (* (pow y 3) (pow z 2)) (pow x 2))) (+ (* 2 (* y (pow z 2))) (* 2 (/ (* (pow y 5) (pow z 2)) (pow x 4))))) (pow x 2))
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Outputs
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(*.f64 (*.f64 (fma.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) x) x)
(/.f64 (*.f64 x x) y)
(*.f64 (+.f64 (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) y)) (*.f64 x x))
(*.f64 (+.f64 (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) y)) (*.f64 x x))
(*.f64 (+.f64 (/.f64 y (*.f64 x x)) (/.f64 #s(literal 1 binary64) y)) (*.f64 x x))
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(/.f64 x y)
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x)
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) y) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) y) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) y) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x))
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x)
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 y (/.f64 (*.f64 z z) y)) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 y (/.f64 (*.f64 z z) y)) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 y (/.f64 (*.f64 z z) y)) x) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 x x) #s(literal 0 binary64))
(*.f64 #s(literal 2 binary64) y)
(*.f64 (fma.f64 (*.f64 (/.f64 z x) (/.f64 z x)) #s(literal -2 binary64) #s(literal 2 binary64)) y)
(*.f64 #s(literal 2 binary64) (-.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 z (/.f64 z (pow.f64 x #s(literal 4 binary64)))) y) (*.f64 (/.f64 (*.f64 z z) x) (/.f64 y x))))
(fma.f64 (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 5 binary64))) (*.f64 z (/.f64 z (pow.f64 x #s(literal 6 binary64)))) (-.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) (/.f64 (*.f64 z z) x) (*.f64 (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 z (/.f64 z (pow.f64 x #s(literal 4 binary64))))))))
(*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) y) y)
(/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) y) y (*.f64 (/.f64 #s(literal -4 binary64) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) x))) (*.f64 x x))
(/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) x) (*.f64 #s(literal 4 binary64) (fma.f64 y y (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 x x))
(/.f64 (fma.f64 #s(literal -4 binary64) (+.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) x) x) (/.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 4 binary64) (fma.f64 y y (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 x x))
(*.f64 x x)
(*.f64 (fma.f64 (/.f64 (-.f64 y z) x) (/.f64 (+.f64 z y) x) #s(literal 1 binary64)) (*.f64 x x))
(*.f64 (fma.f64 (/.f64 (-.f64 y z) x) (/.f64 (+.f64 z y) x) #s(literal 1 binary64)) (*.f64 x x))
(*.f64 (fma.f64 (/.f64 (-.f64 y z) x) (/.f64 (+.f64 z y) x) #s(literal 1 binary64)) (*.f64 x x))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) y)
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (*.f64 #s(literal 2 binary64) y)) (*.f64 x x))
(/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))) y) (*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (pow.f64 y #s(literal 3 binary64)) x))) (*.f64 x x))
(/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) x) (/.f64 (pow.f64 y #s(literal 7 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))) y))) (*.f64 x x))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) (/.f64 (*.f64 z z) x))
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) z) z (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64))) x) (/.f64 (*.f64 z z) x))) (*.f64 x x))
(/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64))) x) (/.f64 (*.f64 z z) x) (*.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 y #s(literal 5 binary64)) (*.f64 z (/.f64 z (pow.f64 x #s(literal 4 binary64)))) (*.f64 (*.f64 z z) y)))) (*.f64 x x))
(/.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 z z) x) (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (*.f64 (pow.f64 y #s(literal 7 binary64)) (*.f64 z (/.f64 z (pow.f64 x #s(literal 6 binary64)))))) (*.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 y #s(literal 5 binary64)) (*.f64 z (/.f64 z (pow.f64 x #s(literal 4 binary64)))) (*.f64 (*.f64 z z) y)))) (*.f64 x x))

rewrite188.0ms (2.5%)

Memory
0.2MiB live, 233.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038243
064240
1286236
22632231
08291230
Stop Event
iter limit
node limit
iter limit
Counts
21 → 751
Calls
Call 1
Inputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y)
(/.f64 (-.f64 x z) y)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))
(fma.f64 (/.f64 x y) x y)
(/.f64 x y)
(*.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y))
(+.f64 y z)
(-.f64 y z)
(*.f64 x x)
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 z z))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 #s(literal 2 binary64) y)))
(-.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 z z)))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
(fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x))
(/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x)))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 z z))
Outputs
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eval247.0ms (3.3%)

Memory
23.9MiB live, 326.2MiB allocated
Compiler

Compiled 56 638 to 3 934 computations (93.1% saved)

prune69.0ms (0.9%)

Memory
-2.1MiB live, 121.1MiB allocated
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New1 47981 487
Fresh538
Picked325
Done000
Total1 487131 500
Accuracy
100.0%
Counts
1 500 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.4%
(/.f64 (-.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 y x) (-.f64 y x))) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
33.1%
(*.f64 #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y))
73.3%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 x y) (*.f64 z y)) (*.f64 y y)) (+.f64 z x) y) #s(literal 1/2 binary64)))
65.7%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
99.8%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64)))
65.7%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) x y) #s(literal 1/2 binary64)))
65.5%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) #s(literal 1/2 binary64)))
32.6%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64)))
59.8%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64)))
35.0%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) z))
35.7%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x))
87.0%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(approx (+ (* (/ (- x z) y) (+ z x)) y) (*.f64 (fma.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) (*.f64 y y)) #s(literal -1 binary64)) (neg.f64 y))) #s(literal 1/2 binary64)))
32.1%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
Compiler

Compiled 653 to 436 computations (33.2% saved)

simplify133.0ms (1.8%)

Memory
-4.8MiB live, 161.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

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

Useful iterations: 5 (0.0ms)

IterNodesCost
037269
057267
1108258
2258253
3642253
41701253
53907238
67395238
08036238
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y)
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z)))
#s(literal 1 binary64)
(/.f64 y (-.f64 x z))
y
(-.f64 x z)
x
z
(+.f64 z x)
#s(literal 1/2 binary64)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x))
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x)
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64))
(/.f64 (*.f64 z z) y)
(*.f64 z z)
z
y
#s(literal -1/2 binary64)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64))
(-.f64 y (/.f64 (*.f64 z z) y))
y
(/.f64 (*.f64 z z) y)
(*.f64 z z)
z
#s(literal 1/2 binary64)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) x y) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) x y) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) x y)
(/.f64 #s(literal 1 binary64) (/.f64 y x))
#s(literal 1 binary64)
(/.f64 y x)
y
x
#s(literal 1/2 binary64)
Outputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y))
(fma.f64 (+.f64 z x) (/.f64 (-.f64 x z) y) y)
(/.f64 (-.f64 x z) y)
#s(literal 1 binary64)
(/.f64 y (-.f64 x z))
y
(-.f64 x z)
x
z
(+.f64 z x)
#s(literal 1/2 binary64)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/2 binary64))
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(/.f64 x y)
x
y
#s(literal 1/2 binary64)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 z z) y))
(/.f64 (*.f64 z z) y)
(*.f64 z z)
z
y
#s(literal -1/2 binary64)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64))
(-.f64 y (/.f64 (*.f64 z z) y))
y
(/.f64 (*.f64 z z) y)
(*.f64 z z)
z
#s(literal 1/2 binary64)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))
(fma.f64 (/.f64 x y) x y)
(/.f64 x y)
#s(literal 1 binary64)
(/.f64 y x)
y
x
#s(literal 1/2 binary64)

localize144.0ms (1.9%)

Memory
-7.8MiB live, 150.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) x y) #s(literal 1/2 binary64))
accuracy0.07421875
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) x y)
accuracy0.42693369160964756
(/.f64 #s(literal 1 binary64) (/.f64 y x))
accuracy21.8852934204701
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) x y) #s(literal 1/2 binary64)))
accuracy0
(*.f64 z z)
accuracy0.0078125
(-.f64 y (/.f64 (*.f64 z z) y))
accuracy6.802557734506806
(/.f64 (*.f64 z z) y)
accuracy21.873685773265148
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64)))
accuracy0
(*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64))
accuracy0
(*.f64 z z)
accuracy6.802557734506806
(/.f64 (*.f64 z z) y)
accuracy41.56520733811083
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64)))
accuracy0
(/.f64 x y)
accuracy0
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
accuracy0.14453125
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x)
accuracy41.11880158964683
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x))
accuracy0
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64)))
accuracy0.01171875
(/.f64 y (-.f64 x z))
accuracy0.0703125
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y)
accuracy0.2109375
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z)))
Samples
88.0ms256×0valid
Compiler

Compiled 492 to 72 computations (85.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-mult: 21.0ms (48.6% of total)
ival-div: 14.0ms (32.4% of total)
ival-add: 5.0ms (11.6% of total)
ival-sub: 4.0ms (9.2% of total)
exact: 1.0ms (2.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series57.0ms (0.8%)

Memory
28.5MiB live, 102.1MiB allocated
Counts
20 → 576
Calls
Call 1
Inputs
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (*.f64 z z) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 z z) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 y (/.f64 (*.f64 z z) y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 y x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) x y) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) x y) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) x y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 y (-.f64 x z)) #<representation binary64>) () ())
Outputs
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) x y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) x y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) x y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) x y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) x y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) x y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) x y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) x y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) x y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 y (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 y (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 y (-.f64 x z)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 y (-.f64 x z)) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
7.0ms
y
@inf
((/ 1 (/ y (- x z))) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ 1 (/ y (- x z))) (+ z x)) y) 1/2) (+ (* (/ 1 (/ y (- x z))) (+ z x)) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (/ x y) 1/2) x) (* (/ x y) 1/2) (/ x y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* z z) y) -1/2) (/ (* z z) y) (* z z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (- y (/ (* z z) y)) 1/2) (- y (/ (* z z) y)) (/ 1 (/ y x)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ 1 (/ y x)) x) y) 1/2) (+ (* (/ 1 (/ y x)) x) y) (/ y (- x z)))
4.0ms
y
@-inf
((/ 1 (/ y (- x z))) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ 1 (/ y (- x z))) (+ z x)) y) 1/2) (+ (* (/ 1 (/ y (- x z))) (+ z x)) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (/ x y) 1/2) x) (* (/ x y) 1/2) (/ x y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* z z) y) -1/2) (/ (* z z) y) (* z z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (- y (/ (* z z) y)) 1/2) (- y (/ (* z z) y)) (/ 1 (/ y x)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ 1 (/ y x)) x) y) 1/2) (+ (* (/ 1 (/ y x)) x) y) (/ y (- x z)))
3.0ms
y
@0
((/ 1 (/ y (- x z))) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ 1 (/ y (- x z))) (+ z x)) y) 1/2) (+ (* (/ 1 (/ y (- x z))) (+ z x)) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (/ x y) 1/2) x) (* (/ x y) 1/2) (/ x y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* z z) y) -1/2) (/ (* z z) y) (* z z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (- y (/ (* z z) y)) 1/2) (- y (/ (* z z) y)) (/ 1 (/ y x)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ 1 (/ y x)) x) y) 1/2) (+ (* (/ 1 (/ y x)) x) y) (/ y (- x z)))
3.0ms
x
@0
((/ 1 (/ y (- x z))) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ 1 (/ y (- x z))) (+ z x)) y) 1/2) (+ (* (/ 1 (/ y (- x z))) (+ z x)) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (/ x y) 1/2) x) (* (/ x y) 1/2) (/ x y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* z z) y) -1/2) (/ (* z z) y) (* z z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (- y (/ (* z z) y)) 1/2) (- y (/ (* z z) y)) (/ 1 (/ y x)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ 1 (/ y x)) x) y) 1/2) (+ (* (/ 1 (/ y x)) x) y) (/ y (- x z)))
3.0ms
x
@inf
((/ 1 (/ y (- x z))) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ 1 (/ y (- x z))) (+ z x)) y) 1/2) (+ (* (/ 1 (/ y (- x z))) (+ z x)) y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (/ x y) 1/2) x) (* (/ x y) 1/2) (/ x y) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ (* z z) y) -1/2) (/ (* z z) y) (* z z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (- y (/ (* z z) y)) 1/2) (- y (/ (* z z) y)) (/ 1 (/ y x)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (/ 1 (/ y x)) x) y) 1/2) (+ (* (/ 1 (/ y x)) x) y) (/ y (- x z)))

simplify284.0ms (3.8%)

Memory
-5.6MiB live, 234.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03686539
111616241
237775876
088505569
Stop Event
iter limit
node limit
Counts
576 → 568
Calls
Call 1
Inputs
(/ x y)
(+ (* -1 (/ z y)) (/ x y))
(+ (* -1 (/ z y)) (/ x y))
(+ (* -1 (/ z y)) (/ x y))
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(* 1/2 (+ y (/ (pow x 2) y)))
(+ (* 1/2 (* z (+ (* -1 (/ x y)) (/ x y)))) (* 1/2 (+ y (/ (pow x 2) y))))
(+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))
(+ (* 1/2 (+ y (/ (pow x 2) y))) (* z (+ (* -1/2 (/ z y)) (* 1/2 (+ (* -1 (/ x y)) (/ x y))))))
(+ y (/ (pow x 2) y))
(+ y (+ (* z (+ (* -1 (/ x y)) (/ x y))) (/ (pow x 2) y)))
(+ y (+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y)))
(+ y (+ (* z (+ (* -1 (/ x y)) (+ (* -1 (/ z y)) (/ x y)))) (/ (pow x 2) y)))
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(* 1/2 y)
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 y))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 y))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 y))
y
(+ y (* -1 (/ (pow z 2) y)))
(+ y (* -1 (/ (pow z 2) y)))
(+ y (* -1 (/ (pow z 2) y)))
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(/ y x)
(+ (/ y x) (/ (* y z) (pow x 2)))
(+ (* z (- (/ (* y z) (pow x 3)) (* -1 (/ y (pow x 2))))) (/ y x))
(+ (* z (- (* z (- (/ (* y z) (pow x 4)) (* -1 (/ y (pow x 3))))) (* -1 (/ y (pow x 2))))) (/ y x))
(* -1 (/ z y))
(* z (- (/ x (* y z)) (/ 1 y)))
(* z (- (/ x (* y z)) (/ 1 y)))
(* z (- (/ x (* y z)) (/ 1 y)))
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (+ (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (+ (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z))) (* 1/2 (/ 1 y))))
(* -1 (/ (pow z 2) y))
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (/ x (* y z))) (/ 1 y)))
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (+ (/ x (* y z)) (+ (/ y (pow z 2)) (/ (pow x 2) (* y (pow z 2)))))) (/ 1 y)))
(* (pow z 2) (- (+ (* -1 (/ x (* y z))) (+ (/ x (* y z)) (+ (/ y (pow z 2)) (/ (pow x 2) (* y (pow z 2)))))) (/ 1 y)))
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))
(* -1 (/ (pow z 2) y))
(* (pow z 2) (- (/ y (pow z 2)) (/ 1 y)))
(* (pow z 2) (- (/ y (pow z 2)) (/ 1 y)))
(* (pow z 2) (- (/ y (pow z 2)) (/ 1 y)))
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* -1 (/ y z))
(/ (+ (* -1 y) (* -1 (/ (* x y) z))) z)
(/ (- (+ (* -1 y) (* -1 (/ (* (pow x 2) y) (pow z 2)))) (/ (* x y) z)) z)
(/ (- (+ (* -1 y) (* -1 (/ (* (pow x 3) y) (pow z 3)))) (+ (/ (* x y) z) (/ (* (pow x 2) y) (pow z 2)))) z)
(* -1 (/ z y))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y))))
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* -1/2 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* -1 (/ (+ (* -1/2 (/ (+ y (/ (pow x 2) y)) z)) (* 1/2 (+ (* -1 (/ x y)) (/ x y)))) z)) (* 1/2 (/ 1 y))))
(* -1 (/ (pow z 2) y))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (/ x y)) z)) (/ 1 y)))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (+ (* -1 (/ (+ y (/ (pow x 2) y)) z)) (/ x y))) z)) (/ 1 y)))
(* (pow z 2) (- (* -1 (/ (+ (* -1 (/ x y)) (+ (* -1 (/ (+ y (/ (pow x 2) y)) z)) (/ x y))) z)) (/ 1 y)))
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))
(* -1 (/ (pow z 2) y))
(* (pow z 2) (- (/ y (pow z 2)) (/ 1 y)))
(* (pow z 2) (- (/ y (pow z 2)) (/ 1 y)))
(* (pow z 2) (- (/ y (pow z 2)) (/ 1 y)))
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* -1 (/ y z))
(* -1 (/ (+ y (/ (* x y) z)) z))
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (* (pow x 2) y) z)) (* x y)) z))) z))
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) y) z) (* -1 (* (pow x 2) y))) z)) (* x y)) z))) z))
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(/ (- x z) y)
(* 1/2 (/ (- (pow x 2) (pow z 2)) y))
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)
(* 1/2 (/ (* (+ x z) (- x z)) y))
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y)
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y)
(/ (+ (* 1/2 (* (+ x z) (- x z))) (* 1/2 (pow y 2))) y)
(/ (* (+ x z) (- x z)) y)
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Outputs
(/.f64 x y)
(/.f64 (-.f64 x z) y)
(/.f64 (-.f64 x z) y)
(/.f64 (-.f64 x z) y)
(*.f64 (/.f64 (fma.f64 x x (*.f64 y y)) y) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (/.f64 z y) (/.f64 (fma.f64 x x (*.f64 y y)) y)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 z) (/.f64 z y) (/.f64 (fma.f64 x x (*.f64 y y)) y)))
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(/.f64 y x)
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rewrite404.0ms (5.5%)

Memory
-124.9MiB live, 230.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037234
057226
1226218
21815218
08235213
Stop Event
iter limit
node limit
iter limit
Counts
20 → 592
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x))
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x)
(*.f64 (/.f64 x y) #s(literal 1/2 binary64))
(/.f64 x y)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64))
(/.f64 (*.f64 z z) y)
(*.f64 z z)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64))
(-.f64 y (/.f64 (*.f64 z z) y))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) x y) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) x y) #s(literal 1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) x y)
(/.f64 y (-.f64 x z))
Outputs
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eval234.0ms (3.2%)

Memory
8.9MiB live, 319.1MiB allocated
Compiler

Compiled 41 754 to 2 958 computations (92.9% saved)

prune283.0ms (3.8%)

Memory
24.3MiB live, 178.8MiB allocated
Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New1 22361 229
Fresh516
Picked325
Done022
Total1 231111 242
Accuracy
100.0%
Counts
1 242 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.1%
(*.f64 #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y))
35.7%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y x)))
65.7%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
65.4%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ y (- x z)) (/.f64 (neg.f64 y) z))) (+.f64 z x) y) #s(literal 1/2 binary64)))
65.8%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64)))
32.6%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64)))
35.7%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) x))
59.8%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 z z)))) #s(literal 1/2 binary64)))
35.0%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64)))
35.7%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x))
32.1%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
Compiler

Compiled 443 to 306 computations (30.9% saved)

simplify179.0ms (2.4%)

Memory
-26.3MiB live, 190.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
cost-diff0
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y x)))
cost-diff320
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
cost-diff384
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y x))
cost-diff0
(/.f64 y x)
cost-diff0
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)
cost-diff0
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) x))
cost-diff384
(/.f64 #s(literal 1/2 binary64) (/.f64 y x))
cost-diff0
(/.f64 #s(literal 1/2 binary64) y)
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 x x))
cost-diff0
(*.f64 #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y))
cost-diff0
(/.f64 z y)
cost-diff0
(*.f64 (/.f64 z y) z)
cost-diff0
(*.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64))
cost-diff0
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64)))
cost-diff0
(neg.f64 z)
cost-diff0
(fma.f64 (neg.f64 z) (/.f64 z y) y)
cost-diff0
(*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64))
cost-diff0
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038223
054217
1100217
2205217
3441217
4997217
51823209
63816209
08292203
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64))
(fma.f64 (neg.f64 z) (/.f64 z y) y)
(neg.f64 z)
z
(/.f64 z y)
y
#s(literal 1/2 binary64)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64))
(*.f64 (/.f64 z y) z)
(/.f64 z y)
z
y
#s(literal -1/2 binary64)
(*.f64 #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y))
#s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 x x))
(*.f64 x x)
x
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)
(/.f64 #s(literal 1/2 binary64) (/.f64 y x))
#s(literal 1/2 binary64)
(/.f64 y x)
y
x
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y x)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y x))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(/.f64 y x)
y
Outputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 z y) (neg.f64 z) y)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 z y) (neg.f64 z) y))
(fma.f64 (/.f64 z y) (neg.f64 z) y)
(neg.f64 z)
z
(/.f64 z y)
y
#s(literal 1/2 binary64)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 z y) z)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 z y) z))
(*.f64 (/.f64 z y) z)
(/.f64 z y)
z
y
#s(literal -1/2 binary64)
(*.f64 (/.f64 #s(literal 1/2 binary64) y) #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 x x)))
#s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 x x))
(*.f64 x x)
x
(/.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
y
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x)
(*.f64 (/.f64 #s(literal 1/2 binary64) y) x)
#s(literal 1/2 binary64)
(/.f64 y x)
y
x
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) x) x)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(/.f64 y x)
y

localize179.0ms (2.4%)

Memory
1.4MiB live, 151.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))
accuracy0
(*.f64 #s(literal 1/2 binary64) x)
accuracy0.09375
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y x))
accuracy41.11880158964683
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y x)))
accuracy0
(/.f64 y x)
accuracy0.14453125
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)
accuracy0.4191212085504929
(/.f64 #s(literal 1/2 binary64) (/.f64 y x))
accuracy41.11880158964683
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) x))
accuracy0
(/.f64 #s(literal 1/2 binary64) y)
accuracy0
(*.f64 x x)
accuracy16.09326697091104
(*.f64 #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y))
accuracy39.00673018324297
#s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 x x))
accuracy0
(/.f64 z y)
accuracy0
(*.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64))
accuracy0.12890625
(*.f64 (/.f64 z y) z)
accuracy41.56520733811083
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64)))
accuracy0
(*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64))
accuracy0
(neg.f64 z)
accuracy0.05859375
(fma.f64 (neg.f64 z) (/.f64 z y) y)
accuracy21.873685773265148
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64)))
Samples
139.0ms256×0valid
Compiler

Compiled 406 to 73 computations (82% saved)

Precisions
Click to see histograms. Total time spent on operations: 120.0ms
ival-div: 68.0ms (56.7% of total)
ival-mult: 31.0ms (25.8% of total)
ival-sub: 8.0ms (6.7% of total)
ival-add: 7.0ms (5.8% of total)
ival-neg: 4.0ms (3.3% of total)
exact: 1.0ms (0.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series89.0ms (1.2%)

Memory
22.8MiB live, 90.6MiB allocated
Counts
20 → 492
Calls
Call 1
Inputs
#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (neg.f64 z) (/.f64 z y) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 z) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (/.f64 z y) z) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 z y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 y x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y x))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())
Outputs
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 z) (/.f64 z y) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 z) (/.f64 z y) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 z) (/.f64 z y) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (fma.f64 (neg.f64 z) (/.f64 z y) y) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (neg.f64 z) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 z) (#s(alt #<batchref> (patch (*.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 y x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y x))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 #s(literal 1/2 binary64) x) #<representation binary64>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
13.0ms
y
@inf
((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (neg z) (/ z y)) y) 1/2) (+ (* (neg z) (/ z y)) y) (neg z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (/ z y) z) -1/2) (* (/ z y) z) (/ z y) (* (+ (* (+ y z) (- y z)) (* x x)) (/ 1/2 y)) (+ (* (+ y z) (- y z)) (* x x)) (* x x) (/ 1/2 y) (/ 1/2 (/ y x)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ 1/2 (/ y x)) x) (/ y x) (/ (* 1 (* 1/2 x)) (/ y x)) (* 1 (* 1/2 x)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 x))
3.0ms
y
@-inf
((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (neg z) (/ z y)) y) 1/2) (+ (* (neg z) (/ z y)) y) (neg z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (/ z y) z) -1/2) (* (/ z y) z) (/ z y) (* (+ (* (+ y z) (- y z)) (* x x)) (/ 1/2 y)) (+ (* (+ y z) (- y z)) (* x x)) (* x x) (/ 1/2 y) (/ 1/2 (/ y x)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ 1/2 (/ y x)) x) (/ y x) (/ (* 1 (* 1/2 x)) (/ y x)) (* 1 (* 1/2 x)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 x))
3.0ms
y
@0
((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (neg z) (/ z y)) y) 1/2) (+ (* (neg z) (/ z y)) y) (neg z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (/ z y) z) -1/2) (* (/ z y) z) (/ z y) (* (+ (* (+ y z) (- y z)) (* x x)) (/ 1/2 y)) (+ (* (+ y z) (- y z)) (* x x)) (* x x) (/ 1/2 y) (/ 1/2 (/ y x)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ 1/2 (/ y x)) x) (/ y x) (/ (* 1 (* 1/2 x)) (/ y x)) (* 1 (* 1/2 x)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 x))
2.0ms
x
@-inf
((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (neg z) (/ z y)) y) 1/2) (+ (* (neg z) (/ z y)) y) (neg z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (/ z y) z) -1/2) (* (/ z y) z) (/ z y) (* (+ (* (+ y z) (- y z)) (* x x)) (/ 1/2 y)) (+ (* (+ y z) (- y z)) (* x x)) (* x x) (/ 1/2 y) (/ 1/2 (/ y x)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ 1/2 (/ y x)) x) (/ y x) (/ (* 1 (* 1/2 x)) (/ y x)) (* 1 (* 1/2 x)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 x))
2.0ms
z
@inf
((/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (+ (* (neg z) (/ z y)) y) 1/2) (+ (* (neg z) (/ z y)) y) (neg z) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (* (/ z y) z) -1/2) (* (/ z y) z) (/ z y) (* (+ (* (+ y z) (- y z)) (* x x)) (/ 1/2 y)) (+ (* (+ y z) (- y z)) (* x x)) (* x x) (/ 1/2 y) (/ 1/2 (/ y x)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* (/ 1/2 (/ y x)) x) (/ y x) (/ (* 1 (* 1/2 x)) (/ y x)) (* 1 (* 1/2 x)) (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (* 1/2 x))

simplify197.0ms (2.7%)

Memory
1.0MiB live, 165.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01904878
15904797
218844661
376554633
082524437
Stop Event
iter limit
node limit
Counts
492 → 489
Calls
Call 1
Inputs
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(* 1/2 y)
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 y))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 y))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 y))
y
(+ y (* -1 (/ (pow z 2) y)))
(+ y (* -1 (/ (pow z 2) y)))
(+ y (* -1 (/ (pow z 2) y)))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(+ (pow x 2) (pow y 2))
(+ (* z (+ y (* -1 y))) (+ (pow x 2) (pow y 2)))
(+ (* z (+ y (+ (* -1 y) (* -1 z)))) (+ (pow x 2) (pow y 2)))
(+ (* z (+ y (+ (* -1 y) (* -1 z)))) (+ (pow x 2) (pow y 2)))
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(* 1/2 (/ (+ (pow x 2) (pow y 2)) y))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(+ (* -1/2 (/ (pow z 2) y)) (* 1/2 (/ (+ (pow x 2) (pow y 2)) y)))
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))
(* -1 (/ (pow z 2) y))
(* (pow z 2) (- (/ y (pow z 2)) (/ 1 y)))
(* (pow z 2) (- (/ y (pow z 2)) (/ 1 y)))
(* (pow z 2) (- (/ y (pow z 2)) (/ 1 y)))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* -1 (pow z 2))
(* (pow z 2) (- (+ (* -1 (/ y z)) (/ y z)) 1))
(* (pow z 2) (- (+ (* -1 (/ y z)) (+ (/ y z) (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))))) 1))
(* (pow z 2) (- (+ (* -1 (/ y z)) (+ (/ y z) (+ (/ (pow x 2) (pow z 2)) (/ (pow y 2) (pow z 2))))) 1))
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ y (pow z 2))) (* 1/2 (/ 1 y))))
(* -1 (/ (pow z 2) y))
(* (pow z 2) (- (/ y (pow z 2)) (/ 1 y)))
(* (pow z 2) (- (/ y (pow z 2)) (/ 1 y)))
(* (pow z 2) (- (/ y (pow z 2)) (/ 1 y)))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* -1 (pow z 2))
(* (pow z 2) (- (* -1 (/ (+ y (* -1 y)) z)) 1))
(* (pow z 2) (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (pow x 2) (pow y 2)) z)))) z)) 1))
(* (pow z 2) (- (* -1 (/ (+ y (+ (* -1 y) (* -1 (/ (+ (pow x 2) (pow y 2)) z)))) z)) 1))
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* -1/2 (/ (pow z 2) y))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* (pow z 2) (- (* 1/2 (/ (+ y (/ (pow x 2) y)) (pow z 2))) (* 1/2 (/ 1 y))))
(* 1/2 (/ (- (pow x 2) (pow z 2)) y))
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)
(* -1/2 (/ (pow z 2) y))
(/ (+ (* -1/2 (pow z 2)) (* 1/2 (pow y 2))) y)
(/ (+ (* -1/2 (pow z 2)) (* 1/2 (pow y 2))) y)
(/ (+ (* -1/2 (pow z 2)) (* 1/2 (pow y 2))) y)
(* -1 (/ (pow z 2) y))
(/ (+ (* -1 (pow z 2)) (pow y 2)) y)
(/ (+ (* -1 (pow z 2)) (pow y 2)) y)
(/ (+ (* -1 (pow z 2)) (pow y 2)) y)
(* 1/2 (/ (- (pow x 2) (pow z 2)) y))
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) y))
(/ (+ (* 1/2 (* y (+ z (* -1 z)))) (* 1/2 (+ (* -1 (pow z 2)) (pow x 2)))) y)
(/ (+ (* 1/2 (+ (* -1 (pow z 2)) (pow x 2))) (* y (+ (* 1/2 y) (* 1/2 (+ z (* -1 z)))))) y)
(/ (+ (* 1/2 (+ (* -1 (pow z 2)) (pow x 2))) (* y (+ (* 1/2 y) (* 1/2 (+ z (* -1 z)))))) y)
(+ (* -1 (pow z 2)) (pow x 2))
(+ (* -1 (pow z 2)) (+ (* y (+ z (* -1 z))) (pow x 2)))
(+ (* -1 (pow z 2)) (+ (* y (+ y (+ z (* -1 z)))) (pow x 2)))
(+ (* -1 (pow z 2)) (+ (* y (+ y (+ z (* -1 z)))) (pow x 2)))
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ (- (pow x 2) (pow z 2)) y))
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (- (pow x 2) (pow z 2)) y))
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)
(/ (+ (* 1/2 (- (pow x 2) (pow z 2))) (* 1/2 (pow y 2))) y)
(* 1/2 y)
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))
(* 1/2 y)
(* y (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2)))))
(* y (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2)))))
(* y (+ 1/2 (* -1/2 (/ (pow z 2) (pow y 2)))))
y
(* y (+ 1 (* -1 (/ (pow z 2) (pow y 2)))))
(* y (+ 1 (* -1 (/ (pow z 2) (pow y 2)))))
(* y (+ 1 (* -1 (/ (pow z 2) (pow y 2)))))
(* 1/2 y)
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(* 1/2 y)
(* y (+ 1/2 (* 1/2 (/ (+ z (* -1 z)) y))))
(* y (+ 1/2 (+ (* 1/2 (/ (+ z (* -1 z)) y)) (* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) (pow y 2))))))
(* y (+ 1/2 (+ (* 1/2 (/ (+ z (* -1 z)) y)) (* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) (pow y 2))))))
(pow y 2)
(* (pow y 2) (+ 1 (+ (* -1 (/ z y)) (/ z y))))
(* (pow y 2) (+ 1 (+ (* -1 (/ z y)) (+ (* -1 (/ (pow z 2) (pow y 2))) (+ (/ z y) (/ (pow x 2) (pow y 2)))))))
(* (pow y 2) (+ 1 (+ (* -1 (/ z y)) (+ (* -1 (/ (pow z 2) (pow y 2))) (+ (/ z y) (/ (pow x 2) (pow y 2)))))))
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 y)
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 y)
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))
(* y (+ 1/2 (* 1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2)))))
(* 1/2 y)
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))
(* 1/2 y)
(* -1 (* y (- (* 1/2 (/ (pow z 2) (pow y 2))) 1/2)))
(* -1 (* y (- (* 1/2 (/ (pow z 2) (pow y 2))) 1/2)))
(* -1 (* y (- (* 1/2 (/ (pow z 2) (pow y 2))) 1/2)))
y
(* -1 (* y (- (/ (pow z 2) (pow y 2)) 1)))
(* -1 (* y (- (/ (pow z 2) (pow y 2)) 1)))
(* -1 (* y (- (/ (pow z 2) (pow y 2)) 1)))
(* 1/2 y)
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(* -1/2 (/ (pow z 2) y))
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ (pow z 2) y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(* 1/2 y)
(* -1 (* y (- (* -1/2 (/ (+ z (* -1 z)) y)) 1/2)))
(* -1 (* y (- (* -1 (/ (+ (* 1/2 (+ z (* -1 z))) (* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) y))) y)) 1/2)))
(* -1 (* y (- (* -1 (/ (+ (* 1/2 (+ z (* -1 z))) (* 1/2 (/ (+ (* -1 (pow z 2)) (pow x 2)) y))) y)) 1/2)))
(pow y 2)
(* (pow y 2) (+ 1 (+ (* -1 (/ z y)) (/ z y))))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (+ z (* -1 z))) (* -1 (/ (+ (* -1 (pow z 2)) (pow x 2)) y))) y))))
(* (pow y 2) (+ 1 (* -1 (/ (+ (* -1 (+ z (* -1 z))) (* -1 (/ (+ (* -1 (pow z 2)) (pow x 2)) y))) y))))
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(/ 1/2 y)
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 y)
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 y)
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))
(* -1 (* y (- (* -1/2 (/ (- (pow x 2) (pow z 2)) (pow y 2))) 1/2)))
(* 1/2 (/ (- (pow y 2) (pow z 2)) y))
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))
(* 1/2 (/ (- (pow y 2) (pow z 2)) y))
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))
(* 1/2 (/ (* (+ y z) (- y z)) y))
(+ (* 1/2 (/ (* (+ y z) (- y z)) y)) (* 1/2 (/ (pow x 2) y)))
(+ (* 1/2 (/ (* (+ y z) (- y z)) y)) (* 1/2 (/ (pow x 2) y)))
(+ (* 1/2 (/ (* (+ y z) (- y z)) y)) (* 1/2 (/ (pow x 2) y)))
(* (+ y z) (- y z))
(+ (* (+ y z) (- y z)) (pow x 2))
(+ (* (+ y z) (- y z)) (pow x 2))
(+ (* (+ y z) (- y z)) (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ (- (pow y 2) (pow z 2)) y))
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 (/ (- (pow y 2) (pow z 2)) y))
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))
(+ (* 1/2 (/ (- (pow y 2) (pow z 2)) y)) (* 1/2 (/ (pow x 2) y)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 (/ (pow x 2) y))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(* 1/2 (/ (pow x 2) y))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(* 1/2 (/ (pow x 2) y))
(* (pow x 2) (+ (* 1/2 (/ (* (+ y z) (- y z)) (* (pow x 2) y))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (* (+ y z) (- y z)) (* (pow x 2) y))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (* (+ y z) (- y z)) (* (pow x 2) y))) (* 1/2 (/ 1 y))))
(pow x 2)
(* (pow x 2) (+ 1 (/ (* (+ y z) (- y z)) (pow x 2))))
(* (pow x 2) (+ 1 (/ (* (+ y z) (- y z)) (pow x 2))))
(* (pow x 2) (+ 1 (/ (* (+ y z) (- y z)) (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ (pow x 2) y))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 (/ (pow x 2) y))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 (/ (pow x 2) y))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(* 1/2 (/ (pow x 2) y))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(* 1/2 (/ (pow x 2) y))
(* (pow x 2) (+ (* 1/2 (/ (* (+ y z) (- y z)) (* (pow x 2) y))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (* (+ y z) (- y z)) (* (pow x 2) y))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (* (+ y z) (- y z)) (* (pow x 2) y))) (* 1/2 (/ 1 y))))
(pow x 2)
(* (pow x 2) (+ 1 (/ (* (+ y z) (- y z)) (pow x 2))))
(* (pow x 2) (+ 1 (/ (* (+ y z) (- y z)) (pow x 2))))
(* (pow x 2) (+ 1 (/ (* (+ y z) (- y z)) (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ x y))
(* 1/2 (/ (pow x 2) y))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(/ y x)
(/ y x)
(/ y x)
(/ y x)
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 (/ (pow x 2) y))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 (/ (pow x 2) y))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(* (pow x 2) (+ (* 1/2 (/ (- y (/ (pow z 2) y)) (pow x 2))) (* 1/2 (/ 1 y))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
Outputs
(*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 (fma.f64 (/.f64 (neg.f64 z) y) z y) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (/.f64 (neg.f64 z) y) z y) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (/.f64 (neg.f64 z) y) z y) #s(literal 1/2 binary64))
y
(fma.f64 (/.f64 (neg.f64 z) y) z y)
(fma.f64 (/.f64 (neg.f64 z) y) z y)
(fma.f64 (/.f64 (neg.f64 z) y) z y)
(neg.f64 z)
(neg.f64 z)
(neg.f64 z)
(neg.f64 z)
(*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64))
(*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64))
(*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64))
(*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64))
(/.f64 (*.f64 z z) y)
(/.f64 (*.f64 z z) y)
(/.f64 (*.f64 z z) y)
(/.f64 (*.f64 z z) y)
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(/.f64 z y)
(*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)))
(fma.f64 y y (*.f64 x x))
(fma.f64 y y (*.f64 x x))
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x)))
(fma.f64 (neg.f64 z) z (fma.f64 y y (*.f64 x x)))
(*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64))
(fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64))
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) x y) (*.f64 z z)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z))
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) x y) (*.f64 z z)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z))
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) x y) (*.f64 z z)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z))
(*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64))
(*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) z) z) y (/.f64 #s(literal -1/2 binary64) y)) z) z)
(*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) z) z) y (/.f64 #s(literal -1/2 binary64) y)) z) z)
(*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) z) z) y (/.f64 #s(literal -1/2 binary64) y)) z) z)
(*.f64 (/.f64 (neg.f64 z) y) z)
(*.f64 (fma.f64 (/.f64 y (*.f64 z z)) z (/.f64 (neg.f64 z) y)) z)
(*.f64 (fma.f64 (/.f64 y (*.f64 z z)) z (/.f64 (neg.f64 z) y)) z)
(*.f64 (fma.f64 (/.f64 y (*.f64 z z)) z (/.f64 (neg.f64 z) y)) z)
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(*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64))
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) x y) (*.f64 z z)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z))
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) x y) (*.f64 z z)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z))
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) x y) (*.f64 z z)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z))
(*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64))
(*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64))
(*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64))
(*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64))
(/.f64 (*.f64 z z) y)
(/.f64 (*.f64 z z) y)
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(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(/.f64 z y)
(*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64))
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) x y) (*.f64 z z)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z))
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) x y) (*.f64 z z)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z))
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) x y) (*.f64 z z)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z))
(*.f64 (neg.f64 z) z)
(*.f64 (neg.f64 z) z)
(*.f64 (fma.f64 (/.f64 (/.f64 x z) z) x (fma.f64 (/.f64 y z) (/.f64 y z) #s(literal -1 binary64))) (*.f64 z z))
(*.f64 (fma.f64 (/.f64 (/.f64 x z) z) x (fma.f64 (/.f64 y z) (/.f64 y z) #s(literal -1 binary64))) (*.f64 z z))
(*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64))
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) x y) (*.f64 z z)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z))
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) x y) (*.f64 z z)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z))
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) x y) (*.f64 z z)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z))
(*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64))
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) x y) (*.f64 z z)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z))
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) x y) (*.f64 z z)) #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) y)) (*.f64 z z))
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rewrite247.0ms (3.3%)

Memory
-42.4MiB live, 165.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038201
054195
1196195
21436195
08333189
Stop Event
iter limit
node limit
iter limit
Counts
20 → 442
Calls
Call 1
Inputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64))
(fma.f64 (neg.f64 z) (/.f64 z y) y)
(neg.f64 z)
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64))
(*.f64 (/.f64 z y) z)
(/.f64 z y)
(*.f64 #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y))
#s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 x x))
(*.f64 x x)
(/.f64 #s(literal 1/2 binary64) y)
(/.f64 #s(literal 1/2 binary64) (/.f64 y x))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)
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#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y x)))
(*.f64 #s(literal 1/2 binary64) x)
Outputs
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eval307.0ms (4.2%)

Memory
19.5MiB live, 220.8MiB allocated
Compiler

Compiled 29 732 to 1 565 computations (94.7% saved)

prune88.0ms (1.2%)

Memory
20.1MiB live, 93.8MiB allocated
Pruning

10 alts after pruning (3 fresh and 7 done)

PrunedKeptTotal
New1 02131 024
Fresh202
Picked235
Done044
Total1 025101 035
Accuracy
100.0%
Counts
1 035 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.1%
(*.f64 #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y))
35.7%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x)))
35.0%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 y z)))
65.7%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
59.8%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) y) y) #s(literal 1/2 binary64)))
65.8%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64)))
32.6%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64)))
35.0%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64)))
35.7%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x))
32.1%
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
Compiler

Compiled 1 030 to 330 computations (68% saved)

regimes81.0ms (1.1%)

Memory
-6.5MiB live, 78.4MiB allocated
Counts
31 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) z))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64)))
(*.f64 #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 x x)) (*.f64 y #s(literal 2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) x))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) y) y) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 y z)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (/.f64 y x)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y x)) x y) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (+.f64 y z) (-.f64 y z) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 z z)))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ y (- x z)) (/.f64 (neg.f64 y) z))) (+.f64 z x) y) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 x z))) (+.f64 z x) y) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(approx (+ (* (/ (- x z) y) (+ z x)) y) (*.f64 (fma.f64 (neg.f64 (+.f64 z x)) (/.f64 (-.f64 x z) (*.f64 y y)) #s(literal -1 binary64)) (neg.f64 y))) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 x y) (*.f64 z y)) (*.f64 y y)) (+.f64 z x) y) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 z z) (/.f64 #s(literal -1/2 binary64) y) (*.f64 (/.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 1/2 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 y y (*.f64 x x)) y) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 y y))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) z) z) (*.f64 #s(literal 4 binary64) (*.f64 y y))))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 z z))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 #s(literal 2 binary64) y)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) (fma.f64 y y (*.f64 x x))) (*.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 y z))))
(/.f64 (-.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 y x) (-.f64 y x))) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Outputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)))
Calls

6 calls:

28.0ms
(*.f64 z z)
16.0ms
z
10.0ms
y
9.0ms
x
8.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1z
99.9%1(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
99.9%1(*.f64 x x)
99.9%1(*.f64 z z)
Compiler

Compiled 24 to 28 computations (-16.7% saved)

regimes56.0ms (0.8%)

Memory
-25.0MiB live, 50.8MiB allocated
Counts
16 → 3
Calls
Call 1
Inputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) z))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64)))
(*.f64 #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 x x)) (*.f64 y #s(literal 2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 y x)) x))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 (neg.f64 z) y)) (+.f64 z x) y) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (*.f64 z z) (/.f64 #s(literal -1 binary64) y) y) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 #s(literal -1/2 binary64) z) (/.f64 y z)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 y x)))
Outputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)))
Calls

6 calls:

21.0ms
x
13.0ms
(*.f64 z z)
6.0ms
z
5.0ms
y
5.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
87.9%2x
91.3%2y
88.1%2z
96.4%3(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
87.9%2(*.f64 x x)
88.1%2(*.f64 z z)
Compiler

Compiled 24 to 28 computations (-16.7% saved)

regimes4.0ms (0.1%)

Memory
6.3MiB live, 6.3MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) z))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64)))
(*.f64 #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 x x)) (*.f64 y #s(literal 2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
Calls

1 calls:

4.0ms
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
94.0%2(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes4.0ms (0.1%)

Memory
5.8MiB live, 5.8MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) z))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64)))
(*.f64 #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 x x)) (*.f64 y #s(literal 2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (-.f64 y (/.f64 (*.f64 z z) y)) #s(literal 1/2 binary64)))
Outputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) z))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64)))
Calls

1 calls:

3.0ms
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
93.8%2(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes53.0ms (0.7%)

Memory
-13.5MiB live, 24.8MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) z))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 z y) z) #s(literal -1/2 binary64)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (/.f64 (*.f64 z z) y) #s(literal -1/2 binary64)))
(*.f64 #s(approx (+ (* (+ y z) (- y z)) (* x x)) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 #s(approx (- (+ (* x x) (* y y)) (* z z)) (*.f64 x x)) (*.f64 y #s(literal 2 binary64)))
Outputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) z))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x))
Calls

6 calls:

38.0ms
x
3.0ms
z
3.0ms
y
3.0ms
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
3.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
60.3%4x
55.0%2(*.f64 x x)
58.0%3z
57.7%3(*.f64 z z)
62.2%4y
70.0%3(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Compiler

Compiled 24 to 28 computations (-16.7% saved)

regimes10.0ms (0.1%)

Memory
13.1MiB live, 13.1MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x))
Outputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
Calls

6 calls:

2.0ms
z
2.0ms
y
2.0ms
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
2.0ms
x
1.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
53.9%2(*.f64 x x)
38.4%2(*.f64 z z)
38.7%2z
53.9%2x
54.4%2y
42.1%2(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
Compiler

Compiled 24 to 28 computations (-16.7% saved)

regimes8.0ms (0.1%)

Memory
15.3MiB live, 15.3MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
Outputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
Calls

6 calls:

1.0ms
y
1.0ms
z
1.0ms
x
1.0ms
(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
1.0ms
(*.f64 z z)
Results
AccuracySegmentsBranch
32.1%1(*.f64 z z)
32.1%1z
32.1%1(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))
32.1%1(*.f64 x x)
32.1%1x
32.1%1y
Compiler

Compiled 24 to 28 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
-6.872766040508842e-23
1.9342484912123104e-159
Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-6.872766040508842e-23
1.9342484912123104e-159
Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-6.872766040508842e-23
1.9342484912123104e-159
Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.964334693925719e+147
1.2771091183677943e+156
0.0ms
-6.872766040508842e-23
1.9342484912123104e-159
Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch43.0ms (0.6%)

Memory
-44.7MiB live, 9.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
9.0ms
6.3684927827430784e+137
2.4715914114250708e+138
Samples
5.0ms80×0valid
Compiler

Compiled 228 to 177 computations (22.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 2.0ms (62.1% of total)
ival-sub: 0.0ms (0% of total)
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify63.0ms (0.9%)

Memory
2.1MiB live, 38.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061438
183438
290438
393438
494438
Stop Event
saturated
Calls
Call 1
Inputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y) #s(literal 1/2 binary64)))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -4253529586511731/85070591730234615865843651857942052864 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (+.f64 z x) #s(literal 1/2 binary64)) (/.f64 (-.f64 x z) y)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -4253529586511731/85070591730234615865843651857942052864 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -4253529586511731/85070591730234615865843651857942052864 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) z)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal -4253529586511731/85070591730234615865843651857942052864 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 z y) #s(literal -1/2 binary64)) z)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64))) #s(literal 5000000000000000244883632875752602897861135017653719443725211872950841317966923780806157646236382318965565323407551383810267164593312926085511380992 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x))))
(if (<=.f64 y #s(literal 1320000000000000010298064046238072476667091185956135446656019574447485084873960390397792174813032893483352824329541372584255406385991254016 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))
Outputs
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (-.f64 x z) y) (+.f64 z x) y)))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (*.f64 z z)) (*.f64 #s(literal 2 binary64) y)) #s(literal -4253529586511731/85070591730234615865843651857942052864 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64))) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (*.f64 z z)) (*.f64 #s(literal 2 binary64) y)) #s(literal +inf.0 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 z x)) (/.f64 (-.f64 x z) y)))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (*.f64 z z)) (*.f64 #s(literal 2 binary64) y)) #s(literal -4253529586511731/85070591730234615865843651857942052864 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (neg.f64 z) (/.f64 z y) y) #s(literal 1/2 binary64))) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (*.f64 z z)) (*.f64 #s(literal 2 binary64) y)) #s(literal -4253529586511731/85070591730234615865843651857942052864 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (fma.f64 (/.f64 x y) x y) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (*.f64 z z)) (*.f64 #s(literal 2 binary64) y)) #s(literal -4253529586511731/85070591730234615865843651857942052864 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 z y)) z)) (if (<=.f64 (/.f64 (-.f64 (+.f64 (*.f64 y y) (*.f64 x x)) (*.f64 z z)) (*.f64 #s(literal 2 binary64) y)) #s(literal 5000000000000000244883632875752602897861135017653719443725211872950841317966923780806157646236382318965565323407551383810267164593312926085511380992 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x))))
(if (<=.f64 y #s(literal 1320000000000000010298064046238072476667091185956135446656019574447485084873960390397792174813032893483352824329541372584255406385991254016 binary64)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) x)) #s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y)))
#s(approx (/ (- (+ (* x x) (* y y)) (* z z)) (* y 2)) (*.f64 #s(literal 1/2 binary64) y))

soundness932.0ms (12.6%)

Memory
19.3MiB live, 374.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037234
057226
1226218
21815218
08235213
0721242
11981242
25681240
321841100
460231076
08140990
08138667
126038172
087627723
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 554 to 173 computations (68.8% saved)

preprocess158.0ms (2.1%)

Memory
1.4MiB live, 154.4MiB allocated
Remove

(negabs y)

(abs x)

(abs z)

Compiler

Compiled 1 272 to 384 computations (69.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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