Graphics.Rendering.Chart.Backend.Diagrams:calcFontMetrics from Chart-diagrams-1.5.1, B

Time bar (total: 5.0s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze139.0ms (2.8%)

Memory
17.5MiB live, 303.5MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
0%0%99.8%0.2%0%0%0%4
25%25%74.9%0.2%0%0%0%5
25%25%74.9%0.2%0%0%0%6
25%25%74.9%0.2%0%0%0%7
37.5%37.4%62.4%0.2%0%0%0%8
56.3%56.1%43.7%0.2%0%0%0%9
56.3%56.1%43.7%0.2%0%0%0%10
56.3%56.1%43.7%0.2%0%0%0%11
65.6%65.5%34.3%0.2%0%0%0%12
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample887.0ms (17.8%)

Memory
7.1MiB live, 978.0MiB allocated
Samples
538.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 304.0ms
ival-mult: 152.0ms (50% of total)
ival-div: 142.0ms (46.7% of total)
ival-true: 7.0ms (2.3% of total)
ival-assert: 3.0ms (1% of total)
Bogosity

explain104.0ms (2.1%)

Memory
-41.2MiB live, 113.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
371(-1376054.623518424 1.0218833249521413e-263 -7.696904862502373e+59 2.5602278821361473e-207)1(-3.4252274453063238e+224 2.763853143446402e-247 5.195034845095719e-46 -1.5607422348296857e-112)(/.f64 (*.f64 (/.f64 y z) t) t)
250-3(2.8154574166226984e+220 -6.473622568326074e-114 -7.900847210755033e+201 -1.2670720988494013e-188)(*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t))
130-0-(*.f64 (/.f64 y z) t)
00-0-y
00-0-t
00-0-z
00-0-x
00-0-(/.f64 y z)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 (/.f64 y z) t) t)u/n200
(*.f64 (/.f64 y z) t)underflow43
(/.f64 y z)underflow29
/.f64(/.f64 (*.f64 (/.f64 y z) t) t)o/n170
(*.f64 (/.f64 y z) t)overflow42
(/.f64 y z)overflow32
*.f64(*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t))n*o120
*.f64(*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t))n*u100
*.f64(*.f64 (/.f64 y z) t)n*o70
*.f64(*.f64 (/.f64 y z) t)n*u60
Confusion
Predicted +Predicted -
+481
-16191
Precision
0.75
Recall
0.9795918367346939
Confusion?
Predicted +Predicted MaybePredicted -
+4801
-160191
Precision?
0.75
Recall?
0.9795918367346939
Freqs
test
numberfreq
0192
156
28
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
48.0ms512×0valid
Compiler

Compiled 69 to 28 computations (59.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-div: 8.0ms (55.1% of total)
ival-mult: 6.0ms (41.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess261.0ms (5.2%)

Memory
34.7MiB live, 188.5MiB allocated
Algorithm
egg-herbie
Rules
5 272×lower-/.f32
5 268×lower-/.f64
4 940×lower-*.f32
4 936×lower-*.f64
2 382×associate-/l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
050140
115878
247174
3170574
4424074
5704674
6754074
7765474
8774174
9778374
089
0129
1207
2435
3885
43215
510105
625245
728395
830225
930965
1031475
1132015
1258905
1360265
1464565
1569405
1676075
081015
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t))
Outputs
(*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t))
(*.f64 (/.f64 y z) x)
Symmetry

(abs t)

(negabs z)

(negabs y)

(negabs x)

(sort x y)

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.6%
(*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t))
Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify167.0ms (3.3%)

Memory
-5.9MiB live, 111.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 y z)
cost-diff0
(*.f64 (/.f64 y z) t)
cost-diff0
(*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t))
cost-diff1024
(/.f64 (*.f64 (/.f64 y z) t) t)
Rules
5 272×lower-/.f32
5 268×lower-/.f64
4 940×lower-*.f32
4 936×lower-*.f64
2 382×associate-/l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0828
01232
12026
24320
38820
432120
5101020
6252420
7283920
8302220
9309620
10314720
11320120
12589020
13602620
14645620
15694020
16760720
0810120
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t))
x
(/.f64 (*.f64 (/.f64 y z) t) t)
(*.f64 (/.f64 y z) t)
(/.f64 y z)
y
z
t
Outputs
(*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t))
(*.f64 (/.f64 y z) x)
x
(/.f64 (*.f64 (/.f64 y z) t) t)
(/.f64 y z)
(*.f64 (/.f64 y z) t)
(*.f64 t (/.f64 y z))
(/.f64 y z)
y
z
t

localize23.0ms (0.5%)

Memory
3.1MiB live, 40.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 y z)
accuracy4.186395503615379
(*.f64 (/.f64 y z) t)
accuracy5.962123274820716
(*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t))
accuracy8.255027893979198
(/.f64 (*.f64 (/.f64 y z) t) t)
Samples
14.0ms256×0valid
Compiler

Compiled 30 to 10 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 3.0ms (44.7% of total)
ival-mult: 3.0ms (44.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series17.0ms (0.3%)

Memory
7.5MiB live, 43.7MiB allocated
Counts
4 → 144
Calls
Call 1
Inputs
#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())
#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())
#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())
Outputs
#s(alt (/ y z) (taylor 0 t) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 t) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 t) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 t) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 t) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 t) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 t) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 t) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* t y) z) (taylor 0 t) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ())
#s(alt (/ (* t y) z) (taylor 0 t) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ())
#s(alt (/ (* t y) z) (taylor 0 t) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ())
#s(alt (/ (* t y) z) (taylor 0 t) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor inf t) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor inf t) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor inf t) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor inf t) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf t) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf t) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf t) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf t) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* t y) z) (taylor inf t) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ())
#s(alt (/ (* t y) z) (taylor inf t) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ())
#s(alt (/ (* t y) z) (taylor inf t) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ())
#s(alt (/ (* t y) z) (taylor inf t) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor -inf t) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor -inf t) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor -inf t) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor -inf t) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf t) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf t) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf t) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf t) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* t y) z) (taylor -inf t) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ())
#s(alt (/ (* t y) z) (taylor -inf t) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ())
#s(alt (/ (* t y) z) (taylor -inf t) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ())
#s(alt (/ (* t y) z) (taylor -inf t) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 z) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* t y) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ())
#s(alt (/ (* t y) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ())
#s(alt (/ (* t y) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ())
#s(alt (/ (* t y) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor inf z) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor inf z) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor inf z) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor inf z) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf z) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf z) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf z) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf z) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* t y) z) (taylor inf z) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ())
#s(alt (/ (* t y) z) (taylor inf z) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ())
#s(alt (/ (* t y) z) (taylor inf z) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ())
#s(alt (/ (* t y) z) (taylor inf z) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor -inf z) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor -inf z) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor -inf z) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor -inf z) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf z) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf z) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf z) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf z) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* t y) z) (taylor -inf z) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ())
#s(alt (/ (* t y) z) (taylor -inf z) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ())
#s(alt (/ (* t y) z) (taylor -inf z) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ())
#s(alt (/ (* t y) z) (taylor -inf z) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor -inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor -inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor -inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor -inf z) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 y) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 y) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 y) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 y) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 y) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 y) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 y) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 y) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* t y) z) (taylor 0 y) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ())
#s(alt (/ (* t y) z) (taylor 0 y) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ())
#s(alt (/ (* t y) z) (taylor 0 y) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ())
#s(alt (/ (* t y) z) (taylor 0 y) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor inf y) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor inf y) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor inf y) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor inf y) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf y) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf y) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf y) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf y) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* t y) z) (taylor inf y) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ())
#s(alt (/ (* t y) z) (taylor inf y) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ())
#s(alt (/ (* t y) z) (taylor inf y) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ())
#s(alt (/ (* t y) z) (taylor inf y) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor inf y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor inf y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor inf y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor inf y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor -inf y) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor -inf y) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor -inf y) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor -inf y) (#s(alt (/.f64 (*.f64 (/.f64 y z) t) t) (patch (/.f64 (*.f64 (/.f64 y z) t) t) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf y) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf y) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf y) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf y) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* t y) z) (taylor -inf y) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ())
#s(alt (/ (* t y) z) (taylor -inf y) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ())
#s(alt (/ (* t y) z) (taylor -inf y) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ())
#s(alt (/ (* t y) z) (taylor -inf y) (#s(alt (*.f64 (/.f64 y z) t) (patch (*.f64 (/.f64 y z) t) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor -inf y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor -inf y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor -inf y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor -inf y) (#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 x) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 x) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 x) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 x) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) (patch (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
4.0ms
z
@0
((/ (* (/ y z) t) t) (* x (/ (* (/ y z) t) t)) (* (/ y z) t) (/ y z))
2.0ms
t
@0
((/ (* (/ y z) t) t) (* x (/ (* (/ y z) t) t)) (* (/ y z) t) (/ y z))
1.0ms
z
@inf
((/ (* (/ y z) t) t) (* x (/ (* (/ y z) t) t)) (* (/ y z) t) (/ y z))
1.0ms
y
@-inf
((/ (* (/ y z) t) t) (* x (/ (* (/ y z) t) t)) (* (/ y z) t) (/ y z))
1.0ms
t
@-inf
((/ (* (/ y z) t) t) (* x (/ (* (/ y z) t) t)) (* (/ y z) t) (/ y z))

simplify7.0ms (0.1%)

Memory
-23.6MiB live, 15.1MiB allocated
Algorithm
egg-herbie
Rules
24×lower-*.f64
24×lower-*.f32
12×*-commutative
10×lower-/.f32
10×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09600
113600
219600
321600
021600
Stop Event
iter limit
saturated
Counts
144 → 144
Calls
Call 1
Inputs
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
Outputs
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* t y) z)
(*.f64 t (/.f64 y z))
(/ (* t y) z)
(*.f64 t (/.f64 y z))
(/ (* t y) z)
(*.f64 t (/.f64 y z))
(/ (* t y) z)
(*.f64 t (/.f64 y z))
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* t y) z)
(*.f64 t (/.f64 y z))
(/ (* t y) z)
(*.f64 t (/.f64 y z))
(/ (* t y) z)
(*.f64 t (/.f64 y z))
(/ (* t y) z)
(*.f64 t (/.f64 y z))
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* t y) z)
(*.f64 t (/.f64 y z))
(/ (* t y) z)
(*.f64 t (/.f64 y z))
(/ (* t y) z)
(*.f64 t (/.f64 y z))
(/ (* t y) z)
(*.f64 t (/.f64 y z))
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* t y) z)
(*.f64 t (/.f64 y z))
(/ (* t y) z)
(*.f64 t (/.f64 y z))
(/ (* t y) z)
(*.f64 t (/.f64 y z))
(/ (* t y) z)
(*.f64 t (/.f64 y z))
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* t y) z)
(*.f64 t (/.f64 y z))
(/ (* t y) z)
(*.f64 t (/.f64 y z))
(/ (* t y) z)
(*.f64 t (/.f64 y z))
(/ (* t y) z)
(*.f64 t (/.f64 y z))
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* t y) z)
(*.f64 t (/.f64 y z))
(/ (* t y) z)
(*.f64 t (/.f64 y z))
(/ (* t y) z)
(*.f64 t (/.f64 y z))
(/ (* t y) z)
(*.f64 t (/.f64 y z))
(/ y z)
(/.f64 y z)
(/ y z)
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(/ y z)
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(/ y z)
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(/ y z)
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(/ y z)
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(/ y z)
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(/ y z)
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(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
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(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
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(/ (* t y) z)
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(/ (* t y) z)
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(/ (* t y) z)
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(/ y z)
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(/ y z)
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(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* t y) z)
(*.f64 t (/.f64 y z))
(/ (* t y) z)
(*.f64 t (/.f64 y z))
(/ (* t y) z)
(*.f64 t (/.f64 y z))
(/ (* t y) z)
(*.f64 t (/.f64 y z))
(/ y z)
(/.f64 y z)
(/ y z)
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(/ y z)
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(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* t y) z)
(*.f64 t (/.f64 y z))
(/ (* t y) z)
(*.f64 t (/.f64 y z))
(/ (* t y) z)
(*.f64 t (/.f64 y z))
(/ (* t y) z)
(*.f64 t (/.f64 y z))
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))

rewrite108.0ms (2.2%)

Memory
19.0MiB live, 143.4MiB allocated
Rules
2 246×lower-*.f32
2 242×lower-*.f64
2 096×lower-/.f32
2 092×lower-/.f64
654×frac-2neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0824
01228
13516
219116
3145916
0589616
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
4 → 400
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 y z) t) t)
(*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t))
(*.f64 (/.f64 y z) t)
(/.f64 y z)
Outputs
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eval77.0ms (1.5%)

Memory
-8.0MiB live, 150.0MiB allocated
Compiler

Compiled 6 395 to 1 123 computations (82.4% saved)

prune25.0ms (0.5%)

Memory
-5.4MiB live, 76.0MiB allocated
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New5359544
Fresh000
Picked101
Done000
Total5369545
Accuracy
100.0%
Counts
545 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.5%
(/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y))
69.1%
(/.f64 (*.f64 (*.f64 x t) y) (*.f64 t z))
91.4%
(/.f64 (*.f64 x y) z)
91.7%
(/.f64 x (/.f64 z y))
90.7%
(*.f64 (/.f64 y z) x)
92.5%
(*.f64 (/.f64 x z) y)
71.0%
(*.f64 (*.f64 (/.f64 (/.f64 y z) t) x) t)
71.7%
(*.f64 x (/.f64 (/.f64 y (/.f64 z t)) t))
90.6%
(*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 y)))
Compiler

Compiled 126 to 132 computations (-4.8% saved)

simplify299.0ms (6%)

Memory
-5.9MiB live, 110.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal -1 binary64) y)
cost-diff0
(neg.f64 x)
cost-diff0
(/.f64 (neg.f64 x) z)
cost-diff1216
(/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y))
cost-diff0
(*.f64 t z)
cost-diff0
(*.f64 x t)
cost-diff0
(*.f64 (*.f64 x t) y)
cost-diff640
(/.f64 (*.f64 (*.f64 x t) y) (*.f64 t z))
cost-diff0
(/.f64 z y)
cost-diff384
(/.f64 x (/.f64 z y))
cost-diff0
(/.f64 y z)
cost-diff0
(*.f64 (/.f64 y z) x)
cost-diff0
(/.f64 x z)
cost-diff0
(*.f64 (/.f64 x z) y)
Rules
2 600×lower-/.f32
2 590×lower-*.f32
2 584×lower-/.f64
2 580×lower-*.f64
1 890×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01978
03371
15871
212571
329771
451271
5245371
6585871
0802271
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 x z) y)
(/.f64 x z)
x
z
y
(*.f64 (/.f64 y z) x)
(/.f64 y z)
y
z
x
(/.f64 x (/.f64 z y))
x
(/.f64 z y)
z
y
(/.f64 (*.f64 (*.f64 x t) y) (*.f64 t z))
(*.f64 (*.f64 x t) y)
(*.f64 x t)
x
t
y
(*.f64 t z)
z
(/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y))
(/.f64 (neg.f64 x) z)
(neg.f64 x)
x
z
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
Outputs
(*.f64 (/.f64 x z) y)
(*.f64 (/.f64 y z) x)
(/.f64 x z)
x
z
y
(*.f64 (/.f64 y z) x)
(/.f64 y z)
y
z
x
(/.f64 x (/.f64 z y))
(*.f64 (/.f64 y z) x)
x
(/.f64 z y)
z
y
(/.f64 (*.f64 (*.f64 x t) y) (*.f64 t z))
(*.f64 (/.f64 y z) x)
(*.f64 (*.f64 x t) y)
(*.f64 (*.f64 t x) y)
(*.f64 x t)
(*.f64 t x)
x
t
y
(*.f64 t z)
z
(/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 y z) x)
(/.f64 (neg.f64 x) z)
(neg.f64 x)
x
z
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y

localize60.0ms (1.2%)

Memory
0.5MiB live, 120.4MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 (neg.f64 x) z)
accuracy0
(/.f64 #s(literal -1 binary64) y)
accuracy0
(neg.f64 x)
accuracy4.810355824638359
(/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y))
accuracy0
(*.f64 x t)
accuracy0
(*.f64 t z)
accuracy5.270998926274262
(*.f64 (*.f64 x t) y)
accuracy15.667162781582833
(/.f64 (*.f64 (*.f64 x t) y) (*.f64 t z))
accuracy0
(/.f64 z y)
accuracy5.284865935414662
(/.f64 x (/.f64 z y))
accuracy0
(/.f64 y z)
accuracy5.962123274820716
(*.f64 (/.f64 y z) x)
accuracy0
(/.f64 x z)
accuracy4.775474532950437
(*.f64 (/.f64 x z) y)
Samples
47.0ms256×0valid
Compiler

Compiled 80 to 21 computations (73.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-div: 14.0ms (61.6% of total)
ival-mult: 7.0ms (30.8% of total)
ival-neg: 1.0ms (4.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series26.0ms (0.5%)

Memory
23.3MiB live, 61.9MiB allocated
Counts
14 → 396
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 x z) y) (patch (*.f64 (/.f64 x z) y) #<representation binary64>) () ())
#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 y z) x) (patch (*.f64 (/.f64 y z) x) #<representation binary64>) () ())
#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())
#s(alt (/.f64 x (/.f64 z y)) (patch (/.f64 x (/.f64 z y)) #<representation binary64>) () ())
#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (*.f64 x t) y) (*.f64 t z)) (patch (/.f64 (*.f64 (*.f64 x t) y) (*.f64 t z)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x t) y) (patch (*.f64 (*.f64 x t) y) #<representation binary64>) () ())
#s(alt (*.f64 x t) (patch (*.f64 x t) #<representation binary64>) () ())
#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) (patch (/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 x) z) (patch (/.f64 (neg.f64 x) z) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())
Outputs
#s(alt (/ (* x y) z) (taylor 0 t) (#s(alt (/.f64 (*.f64 (*.f64 x t) y) (*.f64 t z)) (patch (/.f64 (*.f64 (*.f64 x t) y) (*.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 t) (#s(alt (/.f64 (*.f64 (*.f64 x t) y) (*.f64 t z)) (patch (/.f64 (*.f64 (*.f64 x t) y) (*.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 t) (#s(alt (/.f64 (*.f64 (*.f64 x t) y) (*.f64 t z)) (patch (/.f64 (*.f64 (*.f64 x t) y) (*.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 t) (#s(alt (/.f64 (*.f64 (*.f64 x t) y) (*.f64 t z)) (patch (/.f64 (*.f64 (*.f64 x t) y) (*.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (* t (* x y)) (taylor 0 t) (#s(alt (*.f64 (*.f64 x t) y) (patch (*.f64 (*.f64 x t) y) #<representation binary64>) () ())) ())
#s(alt (* t (* x y)) (taylor 0 t) (#s(alt (*.f64 (*.f64 x t) y) (patch (*.f64 (*.f64 x t) y) #<representation binary64>) () ())) ())
#s(alt (* t (* x y)) (taylor 0 t) (#s(alt (*.f64 (*.f64 x t) y) (patch (*.f64 (*.f64 x t) y) #<representation binary64>) () ())) ())
#s(alt (* t (* x y)) (taylor 0 t) (#s(alt (*.f64 (*.f64 x t) y) (patch (*.f64 (*.f64 x t) y) #<representation binary64>) () ())) ())
#s(alt (* t x) (taylor 0 t) (#s(alt (*.f64 x t) (patch (*.f64 x t) #<representation binary64>) () ())) ())
#s(alt (* t x) (taylor 0 t) (#s(alt (*.f64 x t) (patch (*.f64 x t) #<representation binary64>) () ())) ())
#s(alt (* t x) (taylor 0 t) (#s(alt (*.f64 x t) (patch (*.f64 x t) #<representation binary64>) () ())) ())
#s(alt (* t x) (taylor 0 t) (#s(alt (*.f64 x t) (patch (*.f64 x t) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ())
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Calls

12 calls:

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

simplify18.0ms (0.4%)

Memory
-8.2MiB live, 33.0MiB allocated
Algorithm
egg-herbie
Rules
52×lower-*.f64
52×lower-+.f64
52×lower-*.f32
52×lower-+.f32
48×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0161656
1271656
2421656
3511656
4591656
5651656
6761656
71121656
81281656
91351656
101361656
01361656
Stop Event
iter limit
saturated
Counts
396 → 396
Calls
Call 1
Inputs
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(* t (* x y))
(* t (* x y))
(* t (* x y))
(* t (* x y))
(* t x)
(* t x)
(* t x)
(* t x)
(* t z)
(* t z)
(* t z)
(* t z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(* t (* x y))
(* t (* x y))
(* t (* x y))
(* t (* x y))
(* t x)
(* t x)
(* t x)
(* t x)
(* t z)
(* t z)
(* t z)
(* t z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(* t (* x y))
(* t (* x y))
(* t (* x y))
(* t (* x y))
(* t x)
(* t x)
(* t x)
(* t x)
(* t z)
(* t z)
(* t z)
(* t z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(* t z)
(* t z)
(* t z)
(* t z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(* -1 (/ x z))
(* -1 (/ x z))
(* -1 (/ x z))
(* -1 (/ x z))
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(* t z)
(* t z)
(* t z)
(* t z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(* -1 (/ x z))
(* -1 (/ x z))
(* -1 (/ x z))
(* -1 (/ x z))
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(* t z)
(* t z)
(* t z)
(* t z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(* -1 (/ x z))
(* -1 (/ x z))
(* -1 (/ x z))
(* -1 (/ x z))
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(* t (* x y))
(* t (* x y))
(* t (* x y))
(* t (* x y))
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(* t (* x y))
(* t (* x y))
(* t (* x y))
(* t (* x y))
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(* t (* x y))
(* t (* x y))
(* t (* x y))
(* t (* x y))
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ -1 y)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(* t (* x y))
(* t (* x y))
(* t (* x y))
(* t (* x y))
(* t x)
(* t x)
(* t x)
(* t x)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(* -1 (/ x z))
(* -1 (/ x z))
(* -1 (/ x z))
(* -1 (/ x z))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(* t (* x y))
(* t (* x y))
(* t (* x y))
(* t (* x y))
(* t x)
(* t x)
(* t x)
(* t x)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(* -1 (/ x z))
(* -1 (/ x z))
(* -1 (/ x z))
(* -1 (/ x z))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(* t (* x y))
(* t (* x y))
(* t (* x y))
(* t (* x y))
(* t x)
(* t x)
(* t x)
(* t x)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(* -1 (/ x z))
(* -1 (/ x z))
(* -1 (/ x z))
(* -1 (/ x z))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
Outputs
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(* t (* x y))
(*.f64 t (*.f64 y x))
(* t (* x y))
(*.f64 t (*.f64 y x))
(* t (* x y))
(*.f64 t (*.f64 y x))
(* t (* x y))
(*.f64 t (*.f64 y x))
(* t x)
(*.f64 t x)
(* t x)
(*.f64 t x)
(* t x)
(*.f64 t x)
(* t x)
(*.f64 t x)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(* t (* x y))
(*.f64 t (*.f64 y x))
(* t (* x y))
(*.f64 t (*.f64 y x))
(* t (* x y))
(*.f64 t (*.f64 y x))
(* t (* x y))
(*.f64 t (*.f64 y x))
(* t x)
(*.f64 t x)
(* t x)
(*.f64 t x)
(* t x)
(*.f64 t x)
(* t x)
(*.f64 t x)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(* t (* x y))
(*.f64 t (*.f64 y x))
(* t (* x y))
(*.f64 t (*.f64 y x))
(* t (* x y))
(*.f64 t (*.f64 y x))
(* t (* x y))
(*.f64 t (*.f64 y x))
(* t x)
(*.f64 t x)
(* t x)
(*.f64 t x)
(* t x)
(*.f64 t x)
(* t x)
(*.f64 t x)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(* t z)
(*.f64 t z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(* t (* x y))
(*.f64 t (*.f64 y x))
(* t (* x y))
(*.f64 t (*.f64 y x))
(* t (* x y))
(*.f64 t (*.f64 y x))
(* t (* x y))
(*.f64 t (*.f64 y x))
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ y z)
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(/ y z)
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(/ y z)
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(/ y z)
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(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
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(/ (* x y) z)
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(/ z y)
(/.f64 z y)
(/ z y)
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(/ z y)
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(/ z y)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(* t (* x y))
(*.f64 t (*.f64 y x))
(* t (* x y))
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(* t (* x y))
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(* t (* x y))
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(/ (* x y) z)
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(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
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(/ z y)
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(/ (* x y) z)
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(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(* t (* x y))
(*.f64 t (*.f64 y x))
(* t (* x y))
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(* t (* x y))
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(* t (* x y))
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(/ (* x y) z)
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(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
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(/.f64 (*.f64 y x) z)
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(/ x z)
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(/ x z)
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(* t (* x y))
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(* t x)
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(* t x)
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(* t x)
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(* t x)
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(* -1 (/ x z))
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(* -1 x)
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(* -1 x)
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(* -1 x)
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(/.f64 (*.f64 y x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(* t (* x y))
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(/.f64 (*.f64 y x) z)
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(/ (* x y) z)
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(* -1 (/ x z))
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(* -1 (/ x z))
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(* -1 (/ x z))
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(* -1 x)
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rewrite190.0ms (3.8%)

Memory
-4.3MiB live, 229.2MiB allocated
Rules
3 338×lower-*.f32
3 328×lower-*.f64
2 580×lower-/.f32
2 564×lower-/.f64
1 486×unpow-prod-down
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01961
03354
110154
254354
3386554
0878254
Stop Event
iter limit
node limit
iter limit
Counts
14 → 2 079
Calls
Call 1
Inputs
(*.f64 (/.f64 x z) y)
(/.f64 x z)
(*.f64 (/.f64 y z) x)
(/.f64 y z)
(/.f64 x (/.f64 z y))
(/.f64 z y)
(/.f64 (*.f64 (*.f64 x t) y) (*.f64 t z))
(*.f64 (*.f64 x t) y)
(*.f64 x t)
(*.f64 t z)
(/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y))
(/.f64 (neg.f64 x) z)
(neg.f64 x)
(/.f64 #s(literal -1 binary64) y)
Outputs
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eval427.0ms (8.6%)

Memory
-258.8MiB live, 528.5MiB allocated
Compiler

Compiled 32 444 to 2 015 computations (93.8% saved)

prune82.0ms (1.6%)

Memory
-9.1MiB live, 193.2MiB allocated
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New2 47232 475
Fresh314
Picked325
Done000
Total2 47862 484
Accuracy
100.0%
Counts
2 484 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.4%
(/.f64 (*.f64 y x) z)
91.5%
(/.f64 y (/.f64 z x))
68.2%
(*.f64 (/.f64 y (*.f64 t z)) (*.f64 t x))
90.7%
(*.f64 (/.f64 y z) x)
92.5%
(*.f64 (/.f64 x z) y)
71.7%
(*.f64 x (/.f64 (/.f64 y (/.f64 z t)) t))
Compiler

Compiled 38 to 40 computations (-5.3% saved)

simplify527.0ms (10.6%)

Memory
-9.0MiB live, 148.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y x)
cost-diff0
(/.f64 (*.f64 y x) z)
cost-diff0
(/.f64 z x)
cost-diff384
(/.f64 y (/.f64 z x))
cost-diff0
(*.f64 t x)
cost-diff0
(*.f64 t z)
cost-diff0
(/.f64 y (*.f64 t z))
cost-diff640
(*.f64 (/.f64 y (*.f64 t z)) (*.f64 t x))
cost-diff0
(/.f64 z t)
cost-diff0
(/.f64 y (/.f64 z t))
cost-diff0
(*.f64 x (/.f64 (/.f64 y (/.f64 z t)) t))
cost-diff1408
(/.f64 (/.f64 y (/.f64 z t)) t)
Rules
4 566×lower-*.f32
4 560×lower-/.f32
4 556×lower-*.f64
4 546×lower-/.f64
3 378×associate-/r*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01674
02882
14882
29272
317862
425362
584262
6143962
7189462
8210862
9211562
10211762
11211762
12321662
13376562
14385762
15391062
16394262
17397562
18401062
19435462
20439562
21443862
22448362
23453062
24457962
25463062
26468362
27473862
28479562
29485462
30491562
31497862
32504362
33511062
34517962
35525062
36532362
37539862
38547562
39555462
40563562
41571862
42759762
43770462
44783762
0800462
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 x (/.f64 (/.f64 y (/.f64 z t)) t))
x
(/.f64 (/.f64 y (/.f64 z t)) t)
(/.f64 y (/.f64 z t))
y
(/.f64 z t)
z
t
(*.f64 (/.f64 y (*.f64 t z)) (*.f64 t x))
(/.f64 y (*.f64 t z))
y
(*.f64 t z)
t
z
(*.f64 t x)
x
(/.f64 y (/.f64 z x))
y
(/.f64 z x)
z
x
(/.f64 (*.f64 y x) z)
(*.f64 y x)
y
x
z
Outputs
(*.f64 x (/.f64 (/.f64 y (/.f64 z t)) t))
(*.f64 (/.f64 x z) y)
x
(/.f64 (/.f64 y (/.f64 z t)) t)
(/.f64 y z)
(/.f64 y (/.f64 z t))
y
(/.f64 z t)
z
t
(*.f64 (/.f64 y (*.f64 t z)) (*.f64 t x))
(*.f64 (/.f64 x z) y)
(/.f64 y (*.f64 t z))
y
(*.f64 t z)
t
z
(*.f64 t x)
x
(/.f64 y (/.f64 z x))
(*.f64 (/.f64 x z) y)
y
(/.f64 z x)
z
x
(/.f64 (*.f64 y x) z)
(*.f64 (/.f64 x z) y)
(*.f64 y x)
y
x
z

localize79.0ms (1.6%)

Memory
21.5MiB live, 57.8MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 y x)
accuracy5.513632905207244
(/.f64 (*.f64 y x) z)
accuracy0
(/.f64 z x)
accuracy5.424477953379647
(/.f64 y (/.f64 z x))
accuracy0
(*.f64 t z)
accuracy0
(*.f64 t x)
accuracy5.6578758821635775
(/.f64 y (*.f64 t z))
accuracy16.462833891231483
(*.f64 (/.f64 y (*.f64 t z)) (*.f64 t x))
accuracy0
(/.f64 z t)
accuracy5.962123274820716
(*.f64 x (/.f64 (/.f64 y (/.f64 z t)) t))
accuracy7.379215870720624
(/.f64 y (/.f64 z t))
accuracy8.255027893979198
(/.f64 (/.f64 y (/.f64 z t)) t)
Samples
69.0ms256×0valid
Compiler

Compiled 76 to 18 computations (76.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-div: 11.0ms (60.9% of total)
ival-mult: 7.0ms (38.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series33.0ms (0.7%)

Memory
10.1MiB live, 47.5MiB allocated
Counts
12 → 396
Calls
Call 1
Inputs
#s(alt (/.f64 (/.f64 y (/.f64 z t)) t) (patch (/.f64 (/.f64 y (/.f64 z t)) t) #<representation binary64>) () ())
#s(alt (*.f64 x (/.f64 (/.f64 y (/.f64 z t)) t)) (patch (*.f64 x (/.f64 (/.f64 y (/.f64 z t)) t)) #<representation binary64>) () ())
#s(alt (/.f64 y (/.f64 z t)) (patch (/.f64 y (/.f64 z t)) #<representation binary64>) () ())
#s(alt (/.f64 z t) (patch (/.f64 z t) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 y (*.f64 t z)) (*.f64 t x)) (patch (*.f64 (/.f64 y (*.f64 t z)) (*.f64 t x)) #<representation binary64>) () ())
#s(alt (/.f64 y (*.f64 t z)) (patch (/.f64 y (*.f64 t z)) #<representation binary64>) () ())
#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())
#s(alt (*.f64 t x) (patch (*.f64 t x) #<representation binary64>) () ())
#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())
#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 y x) z) (patch (/.f64 (*.f64 y x) z) #<representation binary64>) () ())
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())
Outputs
#s(alt (/ y z) (taylor 0 t) (#s(alt (/.f64 (/.f64 y (/.f64 z t)) t) (patch (/.f64 (/.f64 y (/.f64 z t)) t) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 t) (#s(alt (/.f64 (/.f64 y (/.f64 z t)) t) (patch (/.f64 (/.f64 y (/.f64 z t)) t) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 t) (#s(alt (/.f64 (/.f64 y (/.f64 z t)) t) (patch (/.f64 (/.f64 y (/.f64 z t)) t) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 t) (#s(alt (/.f64 (/.f64 y (/.f64 z t)) t) (patch (/.f64 (/.f64 y (/.f64 z t)) t) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 t) (#s(alt (*.f64 x (/.f64 (/.f64 y (/.f64 z t)) t)) (patch (*.f64 x (/.f64 (/.f64 y (/.f64 z t)) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 t) (#s(alt (*.f64 x (/.f64 (/.f64 y (/.f64 z t)) t)) (patch (*.f64 x (/.f64 (/.f64 y (/.f64 z t)) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 t) (#s(alt (*.f64 x (/.f64 (/.f64 y (/.f64 z t)) t)) (patch (*.f64 x (/.f64 (/.f64 y (/.f64 z t)) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 t) (#s(alt (*.f64 x (/.f64 (/.f64 y (/.f64 z t)) t)) (patch (*.f64 x (/.f64 (/.f64 y (/.f64 z t)) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* t y) z) (taylor 0 t) (#s(alt (/.f64 y (/.f64 z t)) (patch (/.f64 y (/.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (/ (* t y) z) (taylor 0 t) (#s(alt (/.f64 y (/.f64 z t)) (patch (/.f64 y (/.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (/ (* t y) z) (taylor 0 t) (#s(alt (/.f64 y (/.f64 z t)) (patch (/.f64 y (/.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (/ (* t y) z) (taylor 0 t) (#s(alt (/.f64 y (/.f64 z t)) (patch (/.f64 y (/.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (/ z t) (taylor 0 t) (#s(alt (/.f64 z t) (patch (/.f64 z t) #<representation binary64>) () ())) ())
#s(alt (/ z t) (taylor 0 t) (#s(alt (/.f64 z t) (patch (/.f64 z t) #<representation binary64>) () ())) ())
#s(alt (/ z t) (taylor 0 t) (#s(alt (/.f64 z t) (patch (/.f64 z t) #<representation binary64>) () ())) ())
#s(alt (/ z t) (taylor 0 t) (#s(alt (/.f64 z t) (patch (/.f64 z t) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 t) (#s(alt (*.f64 (/.f64 y (*.f64 t z)) (*.f64 t x)) (patch (*.f64 (/.f64 y (*.f64 t z)) (*.f64 t x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 t) (#s(alt (*.f64 (/.f64 y (*.f64 t z)) (*.f64 t x)) (patch (*.f64 (/.f64 y (*.f64 t z)) (*.f64 t x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 t) (#s(alt (*.f64 (/.f64 y (*.f64 t z)) (*.f64 t x)) (patch (*.f64 (/.f64 y (*.f64 t z)) (*.f64 t x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 t) (#s(alt (*.f64 (/.f64 y (*.f64 t z)) (*.f64 t x)) (patch (*.f64 (/.f64 y (*.f64 t z)) (*.f64 t x)) #<representation binary64>) () ())) ())
#s(alt (/ y (* t z)) (taylor 0 t) (#s(alt (/.f64 y (*.f64 t z)) (patch (/.f64 y (*.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (/ y (* t z)) (taylor 0 t) (#s(alt (/.f64 y (*.f64 t z)) (patch (/.f64 y (*.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (/ y (* t z)) (taylor 0 t) (#s(alt (/.f64 y (*.f64 t z)) (patch (/.f64 y (*.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (/ y (* t z)) (taylor 0 t) (#s(alt (/.f64 y (*.f64 t z)) (patch (/.f64 y (*.f64 t z)) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ())
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ())
#s(alt (* t x) (taylor 0 t) (#s(alt (*.f64 t x) (patch (*.f64 t x) #<representation binary64>) () ())) ())
#s(alt (* t x) (taylor 0 t) (#s(alt (*.f64 t x) (patch (*.f64 t x) #<representation binary64>) () ())) ())
#s(alt (* t x) (taylor 0 t) (#s(alt (*.f64 t x) (patch (*.f64 t x) #<representation binary64>) () ())) ())
#s(alt (* t x) (taylor 0 t) (#s(alt (*.f64 t x) (patch (*.f64 t x) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor inf t) (#s(alt (/.f64 (/.f64 y (/.f64 z t)) t) (patch (/.f64 (/.f64 y (/.f64 z t)) t) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor inf t) (#s(alt (/.f64 (/.f64 y (/.f64 z t)) t) (patch (/.f64 (/.f64 y (/.f64 z t)) t) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor inf t) (#s(alt (/.f64 (/.f64 y (/.f64 z t)) t) (patch (/.f64 (/.f64 y (/.f64 z t)) t) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor inf t) (#s(alt (/.f64 (/.f64 y (/.f64 z t)) t) (patch (/.f64 (/.f64 y (/.f64 z t)) t) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf t) (#s(alt (*.f64 x (/.f64 (/.f64 y (/.f64 z t)) t)) (patch (*.f64 x (/.f64 (/.f64 y (/.f64 z t)) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf t) (#s(alt (*.f64 x (/.f64 (/.f64 y (/.f64 z t)) t)) (patch (*.f64 x (/.f64 (/.f64 y (/.f64 z t)) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf t) (#s(alt (*.f64 x (/.f64 (/.f64 y (/.f64 z t)) t)) (patch (*.f64 x (/.f64 (/.f64 y (/.f64 z t)) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf t) (#s(alt (*.f64 x (/.f64 (/.f64 y (/.f64 z t)) t)) (patch (*.f64 x (/.f64 (/.f64 y (/.f64 z t)) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* t y) z) (taylor inf t) (#s(alt (/.f64 y (/.f64 z t)) (patch (/.f64 y (/.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (/ (* t y) z) (taylor inf t) (#s(alt (/.f64 y (/.f64 z t)) (patch (/.f64 y (/.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (/ (* t y) z) (taylor inf t) (#s(alt (/.f64 y (/.f64 z t)) (patch (/.f64 y (/.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (/ (* t y) z) (taylor inf t) (#s(alt (/.f64 y (/.f64 z t)) (patch (/.f64 y (/.f64 z t)) #<representation binary64>) () ())) ())
#s(alt (/ z t) (taylor inf t) (#s(alt (/.f64 z t) (patch (/.f64 z t) #<representation binary64>) () ())) ())
#s(alt (/ z t) (taylor inf t) (#s(alt (/.f64 z t) (patch (/.f64 z t) #<representation binary64>) () ())) ())
#s(alt (/ z t) (taylor inf t) (#s(alt (/.f64 z t) (patch (/.f64 z t) #<representation binary64>) () ())) ())
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#s(alt (/ (* x y) z) (taylor -inf y) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf y) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf y) (#s(alt (/.f64 (*.f64 y x) z) (patch (/.f64 (*.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf y) (#s(alt (/.f64 (*.f64 y x) z) (patch (/.f64 (*.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf y) (#s(alt (/.f64 (*.f64 y x) z) (patch (/.f64 (*.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf y) (#s(alt (/.f64 (*.f64 y x) z) (patch (/.f64 (*.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 x) (#s(alt (*.f64 x (/.f64 (/.f64 y (/.f64 z t)) t)) (patch (*.f64 x (/.f64 (/.f64 y (/.f64 z t)) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 x) (#s(alt (*.f64 x (/.f64 (/.f64 y (/.f64 z t)) t)) (patch (*.f64 x (/.f64 (/.f64 y (/.f64 z t)) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 x) (#s(alt (*.f64 x (/.f64 (/.f64 y (/.f64 z t)) t)) (patch (*.f64 x (/.f64 (/.f64 y (/.f64 z t)) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 x) (#s(alt (*.f64 x (/.f64 (/.f64 y (/.f64 z t)) t)) (patch (*.f64 x (/.f64 (/.f64 y (/.f64 z t)) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 x) (#s(alt (*.f64 (/.f64 y (*.f64 t z)) (*.f64 t x)) (patch (*.f64 (/.f64 y (*.f64 t z)) (*.f64 t x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 x) (#s(alt (*.f64 (/.f64 y (*.f64 t z)) (*.f64 t x)) (patch (*.f64 (/.f64 y (*.f64 t z)) (*.f64 t x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 x) (#s(alt (*.f64 (/.f64 y (*.f64 t z)) (*.f64 t x)) (patch (*.f64 (/.f64 y (*.f64 t z)) (*.f64 t x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 x) (#s(alt (*.f64 (/.f64 y (*.f64 t z)) (*.f64 t x)) (patch (*.f64 (/.f64 y (*.f64 t z)) (*.f64 t x)) #<representation binary64>) () ())) ())
#s(alt (* t x) (taylor 0 x) (#s(alt (*.f64 t x) (patch (*.f64 t x) #<representation binary64>) () ())) ())
#s(alt (* t x) (taylor 0 x) (#s(alt (*.f64 t x) (patch (*.f64 t x) #<representation binary64>) () ())) ())
#s(alt (* t x) (taylor 0 x) (#s(alt (*.f64 t x) (patch (*.f64 t x) #<representation binary64>) () ())) ())
#s(alt (* t x) (taylor 0 x) (#s(alt (*.f64 t x) (patch (*.f64 t x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 x) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 x) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 x) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 x) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ z x) (taylor 0 x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ())
#s(alt (/ z x) (taylor 0 x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ())
#s(alt (/ z x) (taylor 0 x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ())
#s(alt (/ z x) (taylor 0 x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 x) (#s(alt (/.f64 (*.f64 y x) z) (patch (/.f64 (*.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 x) (#s(alt (/.f64 (*.f64 y x) z) (patch (/.f64 (*.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 x) (#s(alt (/.f64 (*.f64 y x) z) (patch (/.f64 (*.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor 0 x) (#s(alt (/.f64 (*.f64 y x) z) (patch (/.f64 (*.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (*.f64 x (/.f64 (/.f64 y (/.f64 z t)) t)) (patch (*.f64 x (/.f64 (/.f64 y (/.f64 z t)) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (*.f64 x (/.f64 (/.f64 y (/.f64 z t)) t)) (patch (*.f64 x (/.f64 (/.f64 y (/.f64 z t)) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (*.f64 x (/.f64 (/.f64 y (/.f64 z t)) t)) (patch (*.f64 x (/.f64 (/.f64 y (/.f64 z t)) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (*.f64 x (/.f64 (/.f64 y (/.f64 z t)) t)) (patch (*.f64 x (/.f64 (/.f64 y (/.f64 z t)) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (*.f64 (/.f64 y (*.f64 t z)) (*.f64 t x)) (patch (*.f64 (/.f64 y (*.f64 t z)) (*.f64 t x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (*.f64 (/.f64 y (*.f64 t z)) (*.f64 t x)) (patch (*.f64 (/.f64 y (*.f64 t z)) (*.f64 t x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (*.f64 (/.f64 y (*.f64 t z)) (*.f64 t x)) (patch (*.f64 (/.f64 y (*.f64 t z)) (*.f64 t x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (*.f64 (/.f64 y (*.f64 t z)) (*.f64 t x)) (patch (*.f64 (/.f64 y (*.f64 t z)) (*.f64 t x)) #<representation binary64>) () ())) ())
#s(alt (* t x) (taylor inf x) (#s(alt (*.f64 t x) (patch (*.f64 t x) #<representation binary64>) () ())) ())
#s(alt (* t x) (taylor inf x) (#s(alt (*.f64 t x) (patch (*.f64 t x) #<representation binary64>) () ())) ())
#s(alt (* t x) (taylor inf x) (#s(alt (*.f64 t x) (patch (*.f64 t x) #<representation binary64>) () ())) ())
#s(alt (* t x) (taylor inf x) (#s(alt (*.f64 t x) (patch (*.f64 t x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ z x) (taylor inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ())
#s(alt (/ z x) (taylor inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ())
#s(alt (/ z x) (taylor inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ())
#s(alt (/ z x) (taylor inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (/.f64 (*.f64 y x) z) (patch (/.f64 (*.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (/.f64 (*.f64 y x) z) (patch (/.f64 (*.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (/.f64 (*.f64 y x) z) (patch (/.f64 (*.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor inf x) (#s(alt (/.f64 (*.f64 y x) z) (patch (/.f64 (*.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (*.f64 x (/.f64 (/.f64 y (/.f64 z t)) t)) (patch (*.f64 x (/.f64 (/.f64 y (/.f64 z t)) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (*.f64 x (/.f64 (/.f64 y (/.f64 z t)) t)) (patch (*.f64 x (/.f64 (/.f64 y (/.f64 z t)) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (*.f64 x (/.f64 (/.f64 y (/.f64 z t)) t)) (patch (*.f64 x (/.f64 (/.f64 y (/.f64 z t)) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (*.f64 x (/.f64 (/.f64 y (/.f64 z t)) t)) (patch (*.f64 x (/.f64 (/.f64 y (/.f64 z t)) t)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 y (*.f64 t z)) (*.f64 t x)) (patch (*.f64 (/.f64 y (*.f64 t z)) (*.f64 t x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 y (*.f64 t z)) (*.f64 t x)) (patch (*.f64 (/.f64 y (*.f64 t z)) (*.f64 t x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 y (*.f64 t z)) (*.f64 t x)) (patch (*.f64 (/.f64 y (*.f64 t z)) (*.f64 t x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (*.f64 (/.f64 y (*.f64 t z)) (*.f64 t x)) (patch (*.f64 (/.f64 y (*.f64 t z)) (*.f64 t x)) #<representation binary64>) () ())) ())
#s(alt (* t x) (taylor -inf x) (#s(alt (*.f64 t x) (patch (*.f64 t x) #<representation binary64>) () ())) ())
#s(alt (* t x) (taylor -inf x) (#s(alt (*.f64 t x) (patch (*.f64 t x) #<representation binary64>) () ())) ())
#s(alt (* t x) (taylor -inf x) (#s(alt (*.f64 t x) (patch (*.f64 t x) #<representation binary64>) () ())) ())
#s(alt (* t x) (taylor -inf x) (#s(alt (*.f64 t x) (patch (*.f64 t x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (/.f64 y (/.f64 z x)) (patch (/.f64 y (/.f64 z x)) #<representation binary64>) () ())) ())
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ())
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ())
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ())
#s(alt (/ z x) (taylor -inf x) (#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (/.f64 (*.f64 y x) z) (patch (/.f64 (*.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (/.f64 (*.f64 y x) z) (patch (/.f64 (*.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (/.f64 (*.f64 y x) z) (patch (/.f64 (*.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x y) z) (taylor -inf x) (#s(alt (/.f64 (*.f64 y x) z) (patch (/.f64 (*.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
5.0ms
z
@-inf
((/ (/ y (/ z t)) t) (* x (/ (/ y (/ z t)) t)) (/ y (/ z t)) (/ z t) (* (/ y (* t z)) (* t x)) (/ y (* t z)) (* t z) (* t x) (/ y (/ z x)) (/ z x) (/ (* y x) z) (* y x))
5.0ms
y
@0
((/ (/ y (/ z t)) t) (* x (/ (/ y (/ z t)) t)) (/ y (/ z t)) (/ z t) (* (/ y (* t z)) (* t x)) (/ y (* t z)) (* t z) (* t x) (/ y (/ z x)) (/ z x) (/ (* y x) z) (* y x))
2.0ms
t
@-inf
((/ (/ y (/ z t)) t) (* x (/ (/ y (/ z t)) t)) (/ y (/ z t)) (/ z t) (* (/ y (* t z)) (* t x)) (/ y (* t z)) (* t z) (* t x) (/ y (/ z x)) (/ z x) (/ (* y x) z) (* y x))
2.0ms
z
@0
((/ (/ y (/ z t)) t) (* x (/ (/ y (/ z t)) t)) (/ y (/ z t)) (/ z t) (* (/ y (* t z)) (* t x)) (/ y (* t z)) (* t z) (* t x) (/ y (/ z x)) (/ z x) (/ (* y x) z) (* y x))
2.0ms
y
@-inf
((/ (/ y (/ z t)) t) (* x (/ (/ y (/ z t)) t)) (/ y (/ z t)) (/ z t) (* (/ y (* t z)) (* t x)) (/ y (* t z)) (* t z) (* t x) (/ y (/ z x)) (/ z x) (/ (* y x) z) (* y x))

simplify14.0ms (0.3%)

Memory
-15.6MiB live, 21.2MiB allocated
Algorithm
egg-herbie
Rules
32×lower-*.f64
32×lower-*.f32
22×lower-/.f32
22×lower-/.f64
16×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0141668
1221668
2291668
3311668
0311668
Stop Event
iter limit
saturated
Counts
396 → 396
Calls
Call 1
Inputs
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ y (* t z))
(/ y (* t z))
(/ y (* t z))
(/ y (* t z))
(* t z)
(* t z)
(* t z)
(* t z)
(* t x)
(* t x)
(* t x)
(* t x)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ y (* t z))
(/ y (* t z))
(/ y (* t z))
(/ y (* t z))
(* t z)
(* t z)
(* t z)
(* t z)
(* t x)
(* t x)
(* t x)
(* t x)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ y (* t z))
(/ y (* t z))
(/ y (* t z))
(/ y (* t z))
(* t z)
(* t z)
(* t z)
(* t z)
(* t x)
(* t x)
(* t x)
(* t x)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ y (* t z))
(/ y (* t z))
(/ y (* t z))
(/ y (* t z))
(* t z)
(* t z)
(* t z)
(* t z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ y (* t z))
(/ y (* t z))
(/ y (* t z))
(/ y (* t z))
(* t z)
(* t z)
(* t z)
(* t z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ (* t y) z)
(/ z t)
(/ z t)
(/ z t)
(/ z t)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ y (* t z))
(/ y (* t z))
(/ y (* t z))
(/ y (* t z))
(* t z)
(* t z)
(* t z)
(* t z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* t y) z)
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(/ y z)
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(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(* t x)
(*.f64 t x)
(* t x)
(*.f64 t x)
(* t x)
(*.f64 t x)
(* t x)
(*.f64 t x)
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(* t x)
(*.f64 t x)
(* t x)
(*.f64 t x)
(* t x)
(*.f64 t x)
(* t x)
(*.f64 t x)
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)

rewrite164.0ms (3.3%)

Memory
-21.3MiB live, 216.5MiB allocated
Rules
4 082×lower-*.f32
4 072×lower-*.f64
3 438×lower-/.f32
3 424×lower-/.f64
2 000×lower--.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01660
02868
19168
248048
3301948
0814948
Stop Event
iter limit
node limit
iter limit
Counts
12 → 1 464
Calls
Call 1
Inputs
(/.f64 (/.f64 y (/.f64 z t)) t)
(*.f64 x (/.f64 (/.f64 y (/.f64 z t)) t))
(/.f64 y (/.f64 z t))
(/.f64 z t)
(*.f64 (/.f64 y (*.f64 t z)) (*.f64 t x))
(/.f64 y (*.f64 t z))
(*.f64 t z)
(*.f64 t x)
(/.f64 y (/.f64 z x))
(/.f64 z x)
(/.f64 (*.f64 y x) z)
(*.f64 y x)
Outputs
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eval228.0ms (4.6%)

Memory
33.2MiB live, 335.9MiB allocated
Compiler

Compiled 21 148 to 2 251 computations (89.4% saved)

prune59.0ms (1.2%)

Memory
-12.5MiB live, 146.2MiB allocated
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New1 86001 860
Fresh000
Picked044
Done022
Total1 86061 866
Accuracy
100.0%
Counts
1 866 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.4%
(/.f64 (*.f64 y x) z)
91.5%
(/.f64 y (/.f64 z x))
68.2%
(*.f64 (/.f64 y (*.f64 t z)) (*.f64 t x))
90.7%
(*.f64 (/.f64 y z) x)
92.5%
(*.f64 (/.f64 x z) y)
71.7%
(*.f64 x (/.f64 (/.f64 y (/.f64 z t)) t))
Compiler

Compiled 129 to 82 computations (36.4% saved)

regimes32.0ms (0.6%)

Memory
2.9MiB live, 79.5MiB allocated
Counts
13 → 2
Calls
Call 1
Inputs
(*.f64 (/.f64 x z) y)
(*.f64 (/.f64 y z) x)
(/.f64 (*.f64 x y) z)
(/.f64 (*.f64 y x) z)
(/.f64 x (/.f64 z y))
(/.f64 y (/.f64 z x))
(*.f64 x (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 y)))
(*.f64 (/.f64 y (*.f64 t z)) (*.f64 t x))
(/.f64 (*.f64 (*.f64 x t) y) (*.f64 t z))
(*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t))
(*.f64 (*.f64 (/.f64 (/.f64 y z) t) x) t)
(/.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y))
(*.f64 x (/.f64 (/.f64 y (/.f64 z t)) t))
Outputs
(*.f64 (/.f64 y z) x)
(*.f64 (/.f64 x z) y)
Calls

7 calls:

5.0ms
z
5.0ms
(/.f64 (*.f64 (/.f64 y z) t) t)
4.0ms
(/.f64 y z)
4.0ms
y
4.0ms
t
Results
AccuracySegmentsBranch
96.9%2x
97.5%3y
99.8%2z
94.4%2t
99.8%2(*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t))
99.8%2(/.f64 (*.f64 (/.f64 y z) t) t)
99.8%2(/.f64 y z)
Compiler

Compiled 23 to 36 computations (-56.5% saved)

regimes10.0ms (0.2%)

Memory
-11.6MiB live, 27.0MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 (/.f64 x z) y)
Outputs
(*.f64 (/.f64 x z) y)
Calls

7 calls:

2.0ms
x
1.0ms
(/.f64 (*.f64 (/.f64 y z) t) t)
1.0ms
z
1.0ms
y
1.0ms
t
Results
AccuracySegmentsBranch
92.5%1t
92.5%1y
92.5%1x
92.5%1z
92.5%1(/.f64 (*.f64 (/.f64 y z) t) t)
92.5%1(/.f64 y z)
92.5%1(*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t))
Compiler

Compiled 23 to 36 computations (-56.5% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.944116842553506e+107
7.999710292988684e+116
Compiler

Compiled 12 to 15 computations (-25% saved)

simplify28.0ms (0.6%)

Memory
-12.3MiB live, 42.8MiB allocated
Algorithm
egg-herbie
Rules
*-commutative-binary64-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01427
11827
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #s(literal 500000000000000016999495856501412297471987359856449023856715357418937635861600416646370808190366722960654336 binary64)) (*.f64 (/.f64 y z) x) (*.f64 (/.f64 x z) y))
(*.f64 (/.f64 x z) y)
Outputs
(if (<=.f64 (*.f64 x (/.f64 (*.f64 (/.f64 y z) t) t)) #s(literal 500000000000000016999495856501412297471987359856449023856715357418937635861600416646370808190366722960654336 binary64)) (*.f64 (/.f64 y z) x) (*.f64 (/.f64 x z) y))
(if (<=.f64 (*.f64 (/.f64 (*.f64 t (/.f64 y z)) t) x) #s(literal 500000000000000016999495856501412297471987359856449023856715357418937635861600416646370808190366722960654336 binary64)) (*.f64 (/.f64 y z) x) (*.f64 (/.f64 x z) y))
(*.f64 (/.f64 x z) y)

soundness153.0ms (3.1%)

Memory
9.9MiB live, 163.3MiB allocated
Rules
2 246×lower-*.f32
2 242×lower-*.f64
2 096×lower-/.f32
2 092×lower-/.f64
654×frac-2neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0824
01228
13516
219116
3145916
0589616
Stop Event
done
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 69 to 43 computations (37.7% saved)

preprocess744.0ms (14.9%)

Memory
17.9MiB live, 496.3MiB allocated
Remove

(abs t)

Compiler

Compiled 598 to 344 computations (42.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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