Diagrams.TwoD.Arc:bezierFromSweepQ1 from diagrams-lib-1.3.0.3

Time bar (total: 7.8s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze15.0ms (0.2%)

Memory
-3.9MiB live, 34.8MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 13 to 11 computations (15.4% saved)

sample1.0s (12.9%)

Memory
27.5MiB live, 1 046.7MiB allocated
Samples
649.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 424.0ms
ival-sub: 174.0ms (41% of total)
ival-mult: 157.0ms (37% of total)
ival-div: 75.0ms (17.7% of total)
exact: 8.0ms (1.9% of total)
ival-true: 6.0ms (1.4% of total)
ival-assert: 3.0ms (0.7% of total)
Bogosity

explain178.0ms (2.3%)

Memory
-18.5MiB live, 105.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
180-0-(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64)))
00-0-(*.f64 y #s(literal 3 binary64))
00-0-(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
00-0-#s(literal 3 binary64)
00-0-#s(literal 1 binary64)
00-0-(-.f64 #s(literal 1 binary64) x)
00-0-(-.f64 #s(literal 3 binary64) x)
00-0-y
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64)))o/n180
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))overflow66
Confusion
Predicted +Predicted -
+180
-0238
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+1800
-00238
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0238
118
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
118.0ms512×0valid
Compiler

Compiled 77 to 31 computations (59.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
ival-sub: 50.0ms (82.2% of total)
ival-mult: 6.0ms (9.9% of total)
ival-div: 3.0ms (4.9% of total)
exact: 1.0ms (1.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess256.0ms (3.3%)

Memory
1.0MiB live, 127.7MiB allocated
Algorithm
egg-herbie
Rules
8 876×lower-fma.f64
8 876×lower-fma.f32
2 550×lower-*.f32
2 546×lower-*.f64
1 814×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02363
17655
232755
3149955
4638155
0911
01411
12811
27211
317111
453011
5213311
6637511
0803010
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64)))
Outputs
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64)))
(*.f64 (/.f64 (-.f64 x #s(literal 3 binary64)) y) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/3 binary64)))
Symmetry

(negabs y)

Compiler

Compiled 11 to 9 computations (18.2% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
93.1%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64)))
Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify162.0ms (2.1%)

Memory
-8.4MiB live, 144.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 3 binary64) x)
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64)))
cost-diff128
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
Rules
8 876×lower-fma.f64
8 876×lower-fma.f32
2 550×lower-*.f32
2 546×lower-*.f64
1 814×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0931
01431
12831
27231
317131
453031
5213331
6637531
0803029
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(-.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
(*.f64 y #s(literal 3 binary64))
y
Outputs
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64)))
(*.f64 (/.f64 (-.f64 x #s(literal 3 binary64)) y) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/3 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
(fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(-.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
(*.f64 y #s(literal 3 binary64))
y

localize22.0ms (0.3%)

Memory
16.1MiB live, 55.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 #s(literal 1 binary64) x)
accuracy0
(*.f64 y #s(literal 3 binary64))
accuracy0.01171875
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
accuracy4.42277018443158
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64)))
Samples
16.0ms256×0valid
Compiler

Compiled 33 to 11 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-sub: 3.0ms (38.8% of total)
ival-mult: 3.0ms (38.8% of total)
ival-div: 2.0ms (25.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
-23.6MiB live, 14.6MiB allocated
Counts
5 → 72
Calls
Call 1
Inputs
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 3 binary64) x) (patch (-.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())
#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor inf y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor inf y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor inf y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor inf y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor inf y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor -inf y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt 3 (taylor 0 x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* -4 x)) (taylor 0 x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* x (- x 4))) (taylor 0 x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* x (- x 4))) (taylor 0 x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor 0 x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* -4/3 (/ x y)) (/ 1 y)) (taylor 0 x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) (taylor 0 x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y)) (taylor 0 x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt 3 (taylor 0 x) (#s(alt (-.f64 #s(literal 3 binary64) x) (patch (-.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 3 binary64) x) (patch (-.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 3 binary64) x) (patch (-.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* -1 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 3 binary64) x) (patch (-.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 4 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x)))) (taylor inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (pow x 2) y)) (taylor inf x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) (taylor inf x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) (taylor inf x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) (taylor inf x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 #s(literal 3 binary64) x) (patch (-.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 3 (/ 1 x)) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 3 binary64) x) (patch (-.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 3 (/ 1 x)) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 3 binary64) x) (patch (-.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 3 (/ 1 x)) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 3 binary64) x) (patch (-.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 4 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (patch (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (pow x 2) y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 #s(literal 3 binary64) x) (patch (-.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 3 binary64) x) (patch (-.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 3 binary64) x) (patch (-.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 3 binary64) x) (patch (-.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
3.0ms
y
@-inf
((* (- 1 x) (- 3 x)) (/ (* (- 1 x) (- 3 x)) (* y 3)) (- 1 x) (- 3 x) (* y 3))
1.0ms
y
@inf
((* (- 1 x) (- 3 x)) (/ (* (- 1 x) (- 3 x)) (* y 3)) (- 1 x) (- 3 x) (* y 3))
1.0ms
y
@0
((* (- 1 x) (- 3 x)) (/ (* (- 1 x) (- 3 x)) (* y 3)) (- 1 x) (- 3 x) (* y 3))
1.0ms
x
@inf
((* (- 1 x) (- 3 x)) (/ (* (- 1 x) (- 3 x)) (* y 3)) (- 1 x) (- 3 x) (* y 3))
1.0ms
x
@-inf
((* (- 1 x) (- 3 x)) (/ (* (- 1 x) (- 3 x)) (* y 3)) (- 1 x) (- 3 x) (* y 3))

simplify137.0ms (1.8%)

Memory
32.0MiB live, 147.3MiB allocated
Algorithm
egg-herbie
Rules
8 634×lower-fma.f64
8 634×lower-fma.f32
3 164×lower-*.f64
3 164×lower-*.f32
2 266×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078446
1216446
2543446
31551418
44034418
57654418
08499384
Stop Event
iter limit
node limit
Counts
72 → 72
Calls
Call 1
Inputs
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
3
(+ 3 (* -4 x))
(+ 3 (* x (- x 4)))
(+ 3 (* x (- x 4)))
(/ 1 y)
(+ (* -4/3 (/ x y)) (/ 1 y))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
3
(+ 3 (* -1 x))
(+ 3 (* -1 x))
(+ 3 (* -1 x))
(pow x 2)
(* (pow x 2) (- 1 (* 4 (/ 1 x))))
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x))))
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x))))
(* 1/3 (/ (pow x 2) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* x (- (* 3 (/ 1 x)) 1))
(* x (- (* 3 (/ 1 x)) 1))
(* x (- (* 3 (/ 1 x)) 1))
(pow x 2)
(* (pow x 2) (- 1 (* 4 (/ 1 x))))
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x))))
(* 1/3 (/ (pow x 2) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 x)
(* -1 (* x (- 1 (* 3 (/ 1 x)))))
(* -1 (* x (- 1 (* 3 (/ 1 x)))))
(* -1 (* x (- 1 (* 3 (/ 1 x)))))
Outputs
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
3
#s(literal 3 binary64)
(+ 3 (* -4 x))
(fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))
(+ 3 (* x (- x 4)))
(fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64))
(+ 3 (* x (- x 4)))
(fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* -4/3 (/ x y)) (/ 1 y))
(fma.f64 (/.f64 #s(literal -4/3 binary64) y) x (/.f64 #s(literal 1 binary64) y))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
3
#s(literal 3 binary64)
(+ 3 (* -1 x))
(-.f64 #s(literal 3 binary64) x)
(+ 3 (* -1 x))
(-.f64 #s(literal 3 binary64) x)
(+ 3 (* -1 x))
(-.f64 #s(literal 3 binary64) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 4 (/ 1 x))))
(*.f64 (-.f64 x #s(literal 4 binary64)) x)
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x))))
(fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64))
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x))))
(fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64))
(* 1/3 (/ (pow x 2) y))
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)))
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* x (- (* 3 (/ 1 x)) 1))
(-.f64 #s(literal 3 binary64) x)
(* x (- (* 3 (/ 1 x)) 1))
(-.f64 #s(literal 3 binary64) x)
(* x (- (* 3 (/ 1 x)) 1))
(-.f64 #s(literal 3 binary64) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 4 (/ 1 x))))
(*.f64 (-.f64 x #s(literal 4 binary64)) x)
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x))))
(fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64))
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x))))
(fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64))
(* 1/3 (/ (pow x 2) y))
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #s(literal 1 binary64)))
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (* 3 (/ 1 x)))))
(-.f64 #s(literal 3 binary64) x)
(* -1 (* x (- 1 (* 3 (/ 1 x)))))
(-.f64 #s(literal 3 binary64) x)
(* -1 (* x (- 1 (* 3 (/ 1 x)))))
(-.f64 #s(literal 3 binary64) x)

rewrite189.0ms (2.4%)

Memory
-37.3MiB live, 250.3MiB allocated
Rules
4 254×lower-*.f32
4 250×lower-*.f64
4 002×lower-/.f32
4 000×lower-/.f64
1 836×frac-times
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0927
01427
15927
243327
3734027
0806327
Stop Event
iter limit
node limit
iter limit
Counts
5 → 743
Calls
Call 1
Inputs
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64)))
(-.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 3 binary64) x)
(*.f64 y #s(literal 3 binary64))
Outputs
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eval99.0ms (1.3%)

Memory
28.5MiB live, 253.0MiB allocated
Compiler

Compiled 16 679 to 2 125 computations (87.3% saved)

prune29.0ms (0.4%)

Memory
7.1MiB live, 89.0MiB allocated
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New80015815
Fresh000
Picked101
Done000
Total80115816
Accuracy
100.0%
Counts
816 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
99.6%
(/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 y (/.f64 #s(literal 3 binary64) (-.f64 #s(literal 1 binary64) x))))
99.7%
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
93.3%
(/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x))) y)
93.1%
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64)))
57.1%
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64)))
43.4%
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64)))
42.9%
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64)))
52.8%
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
99.6%
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))
99.6%
(*.f64 (neg.f64 (-.f64 #s(literal 3 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -3 binary64) y)))
53.0%
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y))
99.5%
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)))
50.0%
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))))
49.5%
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x))
Compiler

Compiled 286 to 254 computations (11.2% saved)

simplify140.0ms (1.8%)

Memory
14.8MiB live, 241.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 3 binary64) x)
cost-diff0
(/.f64 (-.f64 #s(literal 3 binary64) x) y)
cost-diff0
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))
cost-diff128
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x))
cost-diff0
(-.f64 x #s(literal 4 binary64))
cost-diff0
(*.f64 (-.f64 x #s(literal 4 binary64)) x)
cost-diff0
#s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x))
cost-diff0
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64)))
cost-diff0
(*.f64 y #s(literal 3 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (* (- 1 x) (- 3 x)) (*.f64 x x))
cost-diff0
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff0
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y))
cost-diff0
(-.f64 #s(literal 3 binary64) x)
cost-diff0
(/.f64 (-.f64 #s(literal 3 binary64) x) y)
cost-diff128
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x))
cost-diff384
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
Rules
16 636×lower-fma.f64
16 636×lower-fma.f32
2 960×lower-*.f32
2 950×lower-*.f64
1 622×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027171
039171
171171
2143171
3356171
41260171
54640171
08160162
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 3 binary64) x) y)
(-.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
y
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64)))
#s(approx (* (- 1 x) (- 3 x)) (*.f64 x x))
(*.f64 x x)
x
(*.f64 y #s(literal 3 binary64))
y
#s(literal 3 binary64)
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64)))
#s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x))
(*.f64 (-.f64 x #s(literal 4 binary64)) x)
(-.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(*.f64 y #s(literal 3 binary64))
y
#s(literal 3 binary64)
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 3 binary64) x) y)
(-.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
y
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal 1/3 binary64)
Outputs
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/3 binary64)) y) (-.f64 x #s(literal 3 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64)) y)
(/.f64 (-.f64 #s(literal 3 binary64) x) y)
(-.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
y
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64)))
#s(approx (* (- 1 x) (- 3 x)) (*.f64 x x))
(*.f64 x x)
x
(*.f64 y #s(literal 3 binary64))
y
#s(literal 3 binary64)
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64)))
#s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x))
(*.f64 (-.f64 x #s(literal 4 binary64)) x)
(-.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(*.f64 y #s(literal 3 binary64))
y
#s(literal 3 binary64)
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))
(*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/3 binary64)) y) (-.f64 x #s(literal 3 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64)) y)
(/.f64 (-.f64 #s(literal 3 binary64) x) y)
(-.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
y
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(literal 1/3 binary64)

localize92.0ms (1.2%)

Memory
-18.7MiB live, 210.7MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 #s(literal 1 binary64) x)
accuracy0.00390625
(/.f64 (-.f64 #s(literal 3 binary64) x) y)
accuracy0.0703125
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x))
accuracy0.2421875
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))
accuracy0
(*.f64 y #s(literal 3 binary64))
accuracy0.00390625
(*.f64 (-.f64 x #s(literal 4 binary64)) x)
accuracy4.42277018443158
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64)))
accuracy32.076875370339344
#s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x))
accuracy0
(*.f64 y #s(literal 3 binary64))
accuracy0
(*.f64 x x)
accuracy4.42277018443158
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64)))
accuracy32.43866524990224
#s(approx (* (- 1 x) (- 3 x)) (*.f64 x x))
accuracy0
(/.f64 #s(literal 1 binary64) y)
accuracy30.102281234811315
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y))
accuracy0
(-.f64 #s(literal 1 binary64) x)
accuracy0.00390625
(/.f64 (-.f64 #s(literal 3 binary64) x) y)
accuracy0.0703125
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x))
accuracy0.18359375
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
Samples
58.0ms256×0valid
Compiler

Compiled 149 to 21 computations (85.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-div: 24.0ms (58.4% of total)
ival-mult: 8.0ms (19.5% of total)
ival-sub: 4.0ms (9.7% of total)
const: 4.0ms (9.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series19.0ms (0.3%)

Memory
-19.9MiB live, 58.3MiB allocated
Counts
16 → 276
Calls
Call 1
Inputs
#s(alt (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (patch (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) (patch (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 3 binary64) x) y) (patch (/.f64 (-.f64 #s(literal 3 binary64) x) y) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 3 binary64) x) (patch (-.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (patch #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (patch #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 x #s(literal 4 binary64)) x) (patch (*.f64 (-.f64 x #s(literal 4 binary64)) x) #<representation binary64>) () ())
#s(alt (-.f64 x #s(literal 4 binary64)) (patch (-.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
Outputs
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (patch (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (patch (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (patch (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (patch (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (* (- 1 x) (- 3 x)) y) (taylor 0 y) (#s(alt (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) (patch (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (* (- 1 x) (- 3 x)) y) (taylor 0 y) (#s(alt (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) (patch (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (* (- 1 x) (- 3 x)) y) (taylor 0 y) (#s(alt (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) (patch (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (* (- 1 x) (- 3 x)) y) (taylor 0 y) (#s(alt (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) (patch (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- 3 x) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 3 binary64) x) y) (patch (/.f64 (-.f64 #s(literal 3 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (/ (- 3 x) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 3 binary64) x) y) (patch (/.f64 (-.f64 #s(literal 3 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (/ (- 3 x) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 3 binary64) x) y) (patch (/.f64 (-.f64 #s(literal 3 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (/ (- 3 x) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 3 binary64) x) y) (patch (/.f64 (-.f64 #s(literal 3 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 y) (taylor 0 y) (#s(alt (*.f64 y #s(literal 3 binary64)) (patch (*.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor inf y) (#s(alt (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (patch (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor inf y) (#s(alt (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (patch (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor inf y) (#s(alt (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (patch (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor inf y) (#s(alt (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (patch (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (* (- 1 x) (- 3 x)) y) (taylor inf y) (#s(alt (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) (patch (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (* (- 1 x) (- 3 x)) y) (taylor inf y) (#s(alt (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) (patch (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (* (- 1 x) (- 3 x)) y) (taylor inf y) (#s(alt (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) (patch (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (* (- 1 x) (- 3 x)) y) (taylor inf y) (#s(alt (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) (patch (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- 3 x) y) (taylor inf y) (#s(alt (/.f64 (-.f64 #s(literal 3 binary64) x) y) (patch (/.f64 (-.f64 #s(literal 3 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (/ (- 3 x) y) (taylor inf y) (#s(alt (/.f64 (-.f64 #s(literal 3 binary64) x) y) (patch (/.f64 (-.f64 #s(literal 3 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (/ (- 3 x) y) (taylor inf y) (#s(alt (/.f64 (-.f64 #s(literal 3 binary64) x) y) (patch (/.f64 (-.f64 #s(literal 3 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (/ (- 3 x) y) (taylor inf y) (#s(alt (/.f64 (-.f64 #s(literal 3 binary64) x) y) (patch (/.f64 (-.f64 #s(literal 3 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor inf y) (#s(alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor inf y) (#s(alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor inf y) (#s(alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor inf y) (#s(alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor inf y) (#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) (taylor inf x) (#s(alt (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) (taylor inf x) (#s(alt (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y)))) (taylor inf x) (#s(alt (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (patch (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (patch (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (patch (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow x 2) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) (patch (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 3 (/ 1 (* x y)))) x)) (/ 1 y))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) (patch (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 3 binary64) x) y) (patch (/.f64 (-.f64 #s(literal 3 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 y) (* 3 (/ 1 (* x y)))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 3 binary64) x) y) (patch (/.f64 (-.f64 #s(literal 3 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 y) (* 3 (/ 1 (* x y)))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 3 binary64) x) y) (patch (/.f64 (-.f64 #s(literal 3 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 y) (* 3 (/ 1 (* x y)))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 3 binary64) x) y) (patch (/.f64 (-.f64 #s(literal 3 binary64) x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 #s(literal 3 binary64) x) (patch (-.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 3 binary64) x) (patch (-.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 3 binary64) x) (patch (-.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (* 3 (/ 1 x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 3 binary64) x) (patch (-.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (pow x 2) y)) (taylor -inf x) (#s(alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) (taylor -inf x) (#s(alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) (taylor -inf x) (#s(alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (pow x 2) y)) (taylor -inf x) (#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) (taylor -inf x) (#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (patch #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 4 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (patch #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) (taylor -inf x) (#s(alt #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (patch #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) (taylor -inf x) (#s(alt #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (patch #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (pow x 2) y)) (taylor -inf x) (#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) (taylor -inf x) (#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) (patch (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (patch #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) (taylor -inf x) (#s(alt #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (patch #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) (taylor -inf x) (#s(alt #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (patch #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal 4 binary64)) x) (patch (*.f64 (-.f64 x #s(literal 4 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 4 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal 4 binary64)) x) (patch (*.f64 (-.f64 x #s(literal 4 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 4 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal 4 binary64)) x) (patch (*.f64 (-.f64 x #s(literal 4 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 4 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal 4 binary64)) x) (patch (*.f64 (-.f64 x #s(literal 4 binary64)) x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x #s(literal 4 binary64)) (patch (-.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 4 binary64)) (patch (-.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 4 binary64)) (patch (-.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 4 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 4 binary64)) (patch (-.f64 x #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (pow x 2) y)) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y))))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y)))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) (patch (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
2.0ms
x
@inf
((/ (* (/ (- 3 x) y) (- 1 x)) 3) (* (/ (- 3 x) y) (- 1 x)) (/ (- 3 x) y) (- 3 x) (/ (* (- 1 x) (- 3 x)) (* y 3)) (/ 1 y) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (* x x) (* y 3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (* (- x 4) x) (- x 4) (* (* (/ (- 3 x) y) (- 1 x)) 1/3) (- 1 x))
2.0ms
y
@-inf
((/ (* (/ (- 3 x) y) (- 1 x)) 3) (* (/ (- 3 x) y) (- 1 x)) (/ (- 3 x) y) (- 3 x) (/ (* (- 1 x) (- 3 x)) (* y 3)) (/ 1 y) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (* x x) (* y 3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (* (- x 4) x) (- x 4) (* (* (/ (- 3 x) y) (- 1 x)) 1/3) (- 1 x))
1.0ms
y
@0
((/ (* (/ (- 3 x) y) (- 1 x)) 3) (* (/ (- 3 x) y) (- 1 x)) (/ (- 3 x) y) (- 3 x) (/ (* (- 1 x) (- 3 x)) (* y 3)) (/ 1 y) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (* x x) (* y 3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (* (- x 4) x) (- x 4) (* (* (/ (- 3 x) y) (- 1 x)) 1/3) (- 1 x))
1.0ms
x
@-inf
((/ (* (/ (- 3 x) y) (- 1 x)) 3) (* (/ (- 3 x) y) (- 1 x)) (/ (- 3 x) y) (- 3 x) (/ (* (- 1 x) (- 3 x)) (* y 3)) (/ 1 y) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (* x x) (* y 3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (* (- x 4) x) (- x 4) (* (* (/ (- 3 x) y) (- 1 x)) 1/3) (- 1 x))
1.0ms
y
@inf
((/ (* (/ (- 3 x) y) (- 1 x)) 3) (* (/ (- 3 x) y) (- 1 x)) (/ (- 3 x) y) (- 3 x) (/ (* (- 1 x) (- 3 x)) (* y 3)) (/ 1 y) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (* x x) (* y 3) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (- 1 x) (- 3 x)) (* (- x 4) x) (- x 4) (* (* (/ (- 3 x) y) (- 1 x)) 1/3) (- 1 x))

simplify119.0ms (1.5%)

Memory
-13.2MiB live, 144.0MiB allocated
Algorithm
egg-herbie
Rules
7 646×lower-fma.f64
7 646×lower-fma.f32
3 728×lower-*.f64
3 728×lower-*.f32
1 414×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01122104
13192104
28182080
323871980
468281980
082091824
Stop Event
iter limit
node limit
Counts
276 → 274
Calls
Call 1
Inputs
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/ (* (- 1 x) (- 3 x)) y)
(/ (* (- 1 x) (- 3 x)) y)
(/ (* (- 1 x) (- 3 x)) y)
(/ (* (- 1 x) (- 3 x)) y)
(/ (- 3 x) y)
(/ (- 3 x) y)
(/ (- 3 x) y)
(/ (- 3 x) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/ (* (- 1 x) (- 3 x)) y)
(/ (* (- 1 x) (- 3 x)) y)
(/ (* (- 1 x) (- 3 x)) y)
(/ (* (- 1 x) (- 3 x)) y)
(/ (- 3 x) y)
(/ (- 3 x) y)
(/ (- 3 x) y)
(/ (- 3 x) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/ (* (- 1 x) (- 3 x)) y)
(/ (* (- 1 x) (- 3 x)) y)
(/ (* (- 1 x) (- 3 x)) y)
(/ (* (- 1 x) (- 3 x)) y)
(/ (- 3 x) y)
(/ (- 3 x) y)
(/ (- 3 x) y)
(/ (- 3 x) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 3 y)
(* 3 y)
(* 3 y)
(* 3 y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/ 1 y)
(+ (* -4/3 (/ x y)) (/ 1 y))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(/ 3 y)
(+ (* -4 (/ x y)) (* 3 (/ 1 y)))
(+ (* x (- (/ x y) (* 4 (/ 1 y)))) (* 3 (/ 1 y)))
(+ (* x (- (/ x y) (* 4 (/ 1 y)))) (* 3 (/ 1 y)))
(/ 3 y)
(+ (* -1 (/ x y)) (* 3 (/ 1 y)))
(+ (* -1 (/ x y)) (* 3 (/ 1 y)))
(+ (* -1 (/ x y)) (* 3 (/ 1 y)))
3
(+ 3 (* -1 x))
(+ 3 (* -1 x))
(+ 3 (* -1 x))
(/ 1 y)
(+ (* -4/3 (/ x y)) (/ 1 y))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(/ 1 y)
(+ (* -4/3 (/ x y)) (/ 1 y))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
3
(+ 3 (* -4 x))
(+ 3 (* x (- x 4)))
(+ 3 (* x (- x 4)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1 y)
(+ (* -4/3 (/ x y)) (/ 1 y))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
3
(+ 3 (* -4 x))
(+ 3 (* x (- x 4)))
(+ 3 (* x (- x 4)))
(* -4 x)
(* x (- x 4))
(* x (- x 4))
(* x (- x 4))
-4
(- x 4)
(- x 4)
(- x 4)
(/ 1 y)
(+ (* -4/3 (/ x y)) (/ 1 y))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* 1/3 (/ (pow x 2) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(/ (pow x 2) y)
(* (pow x 2) (- (/ 1 y) (* 4 (/ 1 (* x y)))))
(* (pow x 2) (- (+ (/ 1 y) (/ 3 (* (pow x 2) y))) (/ 4 (* x y))))
(* (pow x 2) (- (+ (/ 1 y) (/ 3 (* (pow x 2) y))) (/ 4 (* x y))))
(* -1 (/ x y))
(* x (- (* 3 (/ 1 (* x y))) (/ 1 y)))
(* x (- (* 3 (/ 1 (* x y))) (/ 1 y)))
(* x (- (* 3 (/ 1 (* x y))) (/ 1 y)))
(* -1 x)
(* x (- (* 3 (/ 1 x)) 1))
(* x (- (* 3 (/ 1 x)) 1))
(* x (- (* 3 (/ 1 x)) 1))
(* 1/3 (/ (pow x 2) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(* 1/3 (/ (pow x 2) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(pow x 2)
(* (pow x 2) (- 1 (* 4 (/ 1 x))))
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x))))
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/3 (/ (pow x 2) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(pow x 2)
(* (pow x 2) (- 1 (* 4 (/ 1 x))))
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x))))
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x))))
(pow x 2)
(* (pow x 2) (- 1 (* 4 (/ 1 x))))
(* (pow x 2) (- 1 (* 4 (/ 1 x))))
(* (pow x 2) (- 1 (* 4 (/ 1 x))))
x
(* x (- 1 (* 4 (/ 1 x))))
(* x (- 1 (* 4 (/ 1 x))))
(* x (- 1 (* 4 (/ 1 x))))
(* 1/3 (/ (pow x 2) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* 1/3 (/ (pow x 2) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(/ (pow x 2) y)
(* (pow x 2) (- (/ 1 y) (* 4 (/ 1 (* x y)))))
(* (pow x 2) (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 3 (/ 1 (* x y)))) x)) (/ 1 y)))
(* (pow x 2) (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 3 (/ 1 (* x y)))) x)) (/ 1 y)))
(* -1 (/ x y))
(* -1 (* x (- (/ 1 y) (* 3 (/ 1 (* x y))))))
(* -1 (* x (- (/ 1 y) (* 3 (/ 1 (* x y))))))
(* -1 (* x (- (/ 1 y) (* 3 (/ 1 (* x y))))))
(* -1 x)
(* -1 (* x (- 1 (* 3 (/ 1 x)))))
(* -1 (* x (- 1 (* 3 (/ 1 x)))))
(* -1 (* x (- 1 (* 3 (/ 1 x)))))
(* 1/3 (/ (pow x 2) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(* 1/3 (/ (pow x 2) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(pow x 2)
(* (pow x 2) (- 1 (* 4 (/ 1 x))))
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/3 (/ (pow x 2) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(pow x 2)
(* (pow x 2) (- 1 (* 4 (/ 1 x))))
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x))))
(pow x 2)
(* (pow x 2) (- 1 (* 4 (/ 1 x))))
(* (pow x 2) (- 1 (* 4 (/ 1 x))))
(* (pow x 2) (- 1 (* 4 (/ 1 x))))
x
(* -1 (* x (- (* 4 (/ 1 x)) 1)))
(* -1 (* x (- (* 4 (/ 1 x)) 1)))
(* -1 (* x (- (* 4 (/ 1 x)) 1)))
(* 1/3 (/ (pow x 2) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
Outputs
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))
(/ (* (- 1 x) (- 3 x)) y)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 3 binary64) x))
(/ (* (- 1 x) (- 3 x)) y)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 3 binary64) x))
(/ (* (- 1 x) (- 3 x)) y)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 3 binary64) x))
(/ (* (- 1 x) (- 3 x)) y)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 3 binary64) x))
(/ (- 3 x) y)
(/.f64 (-.f64 #s(literal 3 binary64) x) y)
(/ (- 3 x) y)
(/.f64 (-.f64 #s(literal 3 binary64) x) y)
(/ (- 3 x) y)
(/.f64 (-.f64 #s(literal 3 binary64) x) y)
(/ (- 3 x) y)
(/.f64 (-.f64 #s(literal 3 binary64) x) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))
(/ 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)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))
(/ (* (- 1 x) (- 3 x)) y)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 3 binary64) x))
(/ (* (- 1 x) (- 3 x)) y)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 3 binary64) x))
(/ (* (- 1 x) (- 3 x)) y)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 3 binary64) x))
(/ (* (- 1 x) (- 3 x)) y)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 3 binary64) x))
(/ (- 3 x) y)
(/.f64 (-.f64 #s(literal 3 binary64) x) y)
(/ (- 3 x) y)
(/.f64 (-.f64 #s(literal 3 binary64) x) y)
(/ (- 3 x) y)
(/.f64 (-.f64 #s(literal 3 binary64) x) y)
(/ (- 3 x) y)
(/.f64 (-.f64 #s(literal 3 binary64) x) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))
(/ 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)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 3 y)
(*.f64 y #s(literal 3 binary64))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
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(fma.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 #s(literal 1 binary64) y))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 4 (/ 1 x))))
(*.f64 (-.f64 x #s(literal 4 binary64)) x)
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x))))
(fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64))
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x))))
(fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 1/3 (/ (pow x 2) y))
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(fma.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 #s(literal 1 binary64) y))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(fma.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 #s(literal 1 binary64) y))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 4 (/ 1 x))))
(*.f64 (-.f64 x #s(literal 4 binary64)) x)
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x))))
(fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64))
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x))))
(fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 4 (/ 1 x))))
(*.f64 (-.f64 x #s(literal 4 binary64)) x)
(* (pow x 2) (- 1 (* 4 (/ 1 x))))
(*.f64 (-.f64 x #s(literal 4 binary64)) x)
(* (pow x 2) (- 1 (* 4 (/ 1 x))))
(*.f64 (-.f64 x #s(literal 4 binary64)) x)
x
(* -1 (* x (- (* 4 (/ 1 x)) 1)))
(-.f64 x #s(literal 4 binary64))
(* -1 (* x (- (* 4 (/ 1 x)) 1)))
(-.f64 x #s(literal 4 binary64))
(* -1 (* x (- (* 4 (/ 1 x)) 1)))
(-.f64 x #s(literal 4 binary64))
(* 1/3 (/ (pow x 2) y))
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(fma.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 #s(literal 1 binary64) y))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(fma.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 #s(literal 1 binary64) y))
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)

rewrite206.0ms (2.7%)

Memory
50.3MiB live, 235.3MiB allocated
Rules
5 324×lower-/.f32
5 314×lower-/.f64
4 738×lower-*.f32
4 728×lower-*.f64
3 418×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027130
039130
1145130
2895130
08461130
Stop Event
iter limit
node limit
iter limit
Counts
16 → 1 484
Calls
Call 1
Inputs
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 3 binary64) x) y)
(-.f64 #s(literal 3 binary64) x)
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64)))
#s(approx (* (- 1 x) (- 3 x)) (*.f64 x x))
(*.f64 x x)
(*.f64 y #s(literal 3 binary64))
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64)))
#s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x))
(*.f64 (-.f64 x #s(literal 4 binary64)) x)
(-.f64 x #s(literal 4 binary64))
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))
(-.f64 #s(literal 1 binary64) x)
Outputs
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eval355.0ms (4.6%)

Memory
-18.4MiB live, 525.4MiB allocated
Compiler

Compiled 41 097 to 3 825 computations (90.7% saved)

prune78.0ms (1%)

Memory
1.7MiB live, 217.9MiB allocated
Pruning

18 alts after pruning (15 fresh and 3 done)

PrunedKeptTotal
New2 334102 344
Fresh5510
Picked235
Done000
Total2 341182 359
Accuracy
100.0%
Counts
2 359 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
42.9%
(/.f64 (*.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) #s(literal 1/3 binary64)) y)
49.5%
(/.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) x)) #s(literal 3 binary64))
93.1%
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64)))
57.1%
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64)))
43.4%
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64)))
42.9%
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64)))
52.8%
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
43.5%
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) y) #s(literal 1/3 binary64))
99.5%
(*.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 #s(literal -1/3 binary64) y)))
99.6%
(*.f64 (*.f64 (-.f64 x #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64))
52.7%
(*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64))
49.5%
(*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) x)) #s(literal 1/3 binary64))
99.5%
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)))
50.0%
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))))
53.0%
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y))
49.5%
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x))
52.7%
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y)))
Compiler

Compiled 292 to 267 computations (8.6% saved)

simplify126.0ms (1.6%)

Memory
3.5MiB live, 152.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64))
cost-diff0
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)
cost-diff0
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)))
cost-diff128
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))
cost-diff0
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))
cost-diff0
(/.f64 x y)
cost-diff0
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))
cost-diff0
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))))
cost-diff0
(/.f64 x y)
cost-diff0
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
cost-diff0
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)
cost-diff0
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x))
cost-diff0
(/.f64 #s(literal 1/3 binary64) y)
cost-diff0
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y)))
cost-diff320
(*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y))
cost-diff0
(/.f64 y (-.f64 #s(literal 1 binary64) x))
cost-diff0
(-.f64 #s(literal 3 binary64) x)
cost-diff128
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
cost-diff512
(/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
Rules
13 490×lower-fma.f32
13 486×lower-fma.f64
3 486×lower-*.f32
3 474×lower-*.f64
1 554×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034187
052184
1105184
2212184
3453184
41449178
55399177
08126170
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(-.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(/.f64 y (-.f64 #s(literal 1 binary64) x))
y
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y)))
(*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y))
#s(literal 3 binary64)
(/.f64 #s(literal 1/3 binary64) y)
#s(literal 1/3 binary64)
y
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x))
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(/.f64 x y)
x
y
#s(literal 1/3 binary64)
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))))
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))
(/.f64 x y)
x
y
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))
#s(literal 1/3 binary64)
#s(literal -4/3 binary64)
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64))
#s(literal -1/3 binary64)
x
#s(literal 1/3 binary64)
y
(-.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
Outputs
(/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y)
(-.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(/.f64 y (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)))
(/.f64 y (-.f64 #s(literal 1 binary64) x))
y
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y)))
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y))
(/.f64 #s(literal 1 binary64) y)
#s(literal 3 binary64)
(/.f64 #s(literal 1/3 binary64) y)
#s(literal 1/3 binary64)
y
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x))
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64)))
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(/.f64 x y)
x
y
#s(literal 1/3 binary64)
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))))
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x))
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x)
(/.f64 x y)
x
y
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))
(fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64))
#s(literal 1/3 binary64)
#s(literal -4/3 binary64)
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)))
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))
(/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x #s(literal 1 binary64)) y)
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64))
#s(literal -1/3 binary64)
x
#s(literal 1/3 binary64)
y
(-.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)

localize112.0ms (1.4%)

Memory
35.5MiB live, 228.1MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)))
accuracy0.203125
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64))
accuracy0.21484375
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))
accuracy0.28515625
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)
accuracy0
(/.f64 x y)
accuracy0.20703125
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))
accuracy0.25390625
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))
accuracy31.913667057198243
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))))
accuracy0
(/.f64 x y)
accuracy0.13671875
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)
accuracy0.265625
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
accuracy32.23272946154456
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x))
accuracy0.23828125
(*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y))
accuracy0.3671875
(/.f64 #s(literal 1/3 binary64) y)
accuracy30.102281234811315
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y)))
accuracy0
(-.f64 #s(literal 1 binary64) x)
accuracy0.0078125
(/.f64 y (-.f64 #s(literal 1 binary64) x))
accuracy0.20703125
(/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
accuracy0.21484375
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
Samples
83.0ms237×0valid
6.0ms11×2valid
4.0ms1valid
Compiler

Compiled 160 to 32 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 73.0ms
ival-mult: 30.0ms (41.1% of total)
ival-div: 20.0ms (27.4% of total)
const: 10.0ms (13.7% of total)
ival-sub: 9.0ms (12.3% of total)
ival-add: 2.0ms (2.7% of total)
adjust: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series46.0ms (0.6%)

Memory
-7.5MiB live, 111.4MiB allocated
Counts
19 → 384
Calls
Call 1
Inputs
#s(alt (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (patch (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (patch (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 3 binary64) x) (patch (-.f64 #s(literal 3 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 y (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 y (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y)) (patch (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y))) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1/3 binary64) y) (patch (/.f64 #s(literal 1/3 binary64) y) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x) (patch (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) (patch #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) (patch (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (patch (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) (patch (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) (patch #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (patch (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) (patch (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
Outputs
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (patch (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (patch (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (patch (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (patch (/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ y (- 1 x))) (taylor 0 y) (#s(alt (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (patch (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ y (- 1 x))) (taylor 0 y) (#s(alt (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (patch (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ y (- 1 x))) (taylor 0 y) (#s(alt (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (patch (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 (/ y (- 1 x))) (taylor 0 y) (#s(alt (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (patch (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ y (- 1 x)) (taylor 0 y) (#s(alt (/.f64 y (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 y (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ y (- 1 x)) (taylor 0 y) (#s(alt (/.f64 y (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 y (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ y (- 1 x)) (taylor 0 y) (#s(alt (/.f64 y (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 y (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ y (- 1 x)) (taylor 0 y) (#s(alt (/.f64 y (-.f64 #s(literal 1 binary64) x)) (patch (/.f64 y (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y)) (patch (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y)) (patch (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y)) (patch (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 y) (taylor 0 y) (#s(alt (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y)) (patch (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y))) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y))) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y))) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y))) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1/3 binary64) y) (patch (/.f64 #s(literal 1/3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1/3 binary64) y) (patch (/.f64 #s(literal 1/3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1/3 binary64) y) (patch (/.f64 #s(literal 1/3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1/3 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1/3 binary64) y) (patch (/.f64 #s(literal 1/3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) (patch #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (pow x 2) y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x) (patch (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (pow x 2) y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x) (patch (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (pow x 2) y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x) (patch (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (pow x 2) y)) (taylor 0 y) (#s(alt (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x) (patch (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) (patch #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) (patch #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) (patch #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) (patch #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (* 1/3 x) 4/3)) y) (taylor 0 y) (#s(alt (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) (patch (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (* 1/3 x) 4/3)) y) (taylor 0 y) (#s(alt (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) (patch (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))) #<representation binary64>) () ())) ())
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Calls

6 calls:

TimeVariablePointExpression
11.0ms
y
@0
((/ (- 3 x) (* (/ y (- 1 x)) 3)) (* (/ y (- 1 x)) 3) (- 3 x) (/ y (- 1 x)) (* 3 (/ 1/3 y)) (/ (* (- 1 x) (- 3 x)) (* y 3)) (/ 1/3 y) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (* (/ x y) 1/3) x) (* (/ x y) 1/3) (/ x y) (/ (* (/ (- 3 x) y) (- 1 x)) 3) (* (/ x y) (+ (* x 1/3) -4/3)) (+ (* x 1/3) -4/3) (* (/ (+ (* -1/3 x) 1/3) y) (- 3 x)) (/ (* (/ (- 3 x) y) (- 1 x)) 3) (/ (+ (* -1/3 x) 1/3) y) (+ (* -1/3 x) 1/3) (- 1 x))
7.0ms
y
@inf
((/ (- 3 x) (* (/ y (- 1 x)) 3)) (* (/ y (- 1 x)) 3) (- 3 x) (/ y (- 1 x)) (* 3 (/ 1/3 y)) (/ (* (- 1 x) (- 3 x)) (* y 3)) (/ 1/3 y) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (* (/ x y) 1/3) x) (* (/ x y) 1/3) (/ x y) (/ (* (/ (- 3 x) y) (- 1 x)) 3) (* (/ x y) (+ (* x 1/3) -4/3)) (+ (* x 1/3) -4/3) (* (/ (+ (* -1/3 x) 1/3) y) (- 3 x)) (/ (* (/ (- 3 x) y) (- 1 x)) 3) (/ (+ (* -1/3 x) 1/3) y) (+ (* -1/3 x) 1/3) (- 1 x))
7.0ms
y
@-inf
((/ (- 3 x) (* (/ y (- 1 x)) 3)) (* (/ y (- 1 x)) 3) (- 3 x) (/ y (- 1 x)) (* 3 (/ 1/3 y)) (/ (* (- 1 x) (- 3 x)) (* y 3)) (/ 1/3 y) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (* (/ x y) 1/3) x) (* (/ x y) 1/3) (/ x y) (/ (* (/ (- 3 x) y) (- 1 x)) 3) (* (/ x y) (+ (* x 1/3) -4/3)) (+ (* x 1/3) -4/3) (* (/ (+ (* -1/3 x) 1/3) y) (- 3 x)) (/ (* (/ (- 3 x) y) (- 1 x)) 3) (/ (+ (* -1/3 x) 1/3) y) (+ (* -1/3 x) 1/3) (- 1 x))
4.0ms
x
@-inf
((/ (- 3 x) (* (/ y (- 1 x)) 3)) (* (/ y (- 1 x)) 3) (- 3 x) (/ y (- 1 x)) (* 3 (/ 1/3 y)) (/ (* (- 1 x) (- 3 x)) (* y 3)) (/ 1/3 y) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (* (/ x y) 1/3) x) (* (/ x y) 1/3) (/ x y) (/ (* (/ (- 3 x) y) (- 1 x)) 3) (* (/ x y) (+ (* x 1/3) -4/3)) (+ (* x 1/3) -4/3) (* (/ (+ (* -1/3 x) 1/3) y) (- 3 x)) (/ (* (/ (- 3 x) y) (- 1 x)) 3) (/ (+ (* -1/3 x) 1/3) y) (+ (* -1/3 x) 1/3) (- 1 x))
3.0ms
x
@inf
((/ (- 3 x) (* (/ y (- 1 x)) 3)) (* (/ y (- 1 x)) 3) (- 3 x) (/ y (- 1 x)) (* 3 (/ 1/3 y)) (/ (* (- 1 x) (- 3 x)) (* y 3)) (/ 1/3 y) (/ (* (- 1 x) (- 3 x)) (* y 3)) (* (* (/ x y) 1/3) x) (* (/ x y) 1/3) (/ x y) (/ (* (/ (- 3 x) y) (- 1 x)) 3) (* (/ x y) (+ (* x 1/3) -4/3)) (+ (* x 1/3) -4/3) (* (/ (+ (* -1/3 x) 1/3) y) (- 3 x)) (/ (* (/ (- 3 x) y) (- 1 x)) 3) (/ (+ (* -1/3 x) 1/3) y) (+ (* -1/3 x) 1/3) (- 1 x))

simplify206.0ms (2.7%)

Memory
-0.4MiB live, 200.8MiB allocated
Algorithm
egg-herbie
Rules
12 062×lower-fma.f64
12 062×lower-fma.f32
4 626×lower-*.f64
4 626×lower-*.f32
2 424×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01683199
14793156
212793086
338663074
081932908
Stop Event
iter limit
node limit
Counts
384 → 383
Calls
Call 1
Inputs
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 3 (/ y (- 1 x)))
(* 3 (/ y (- 1 x)))
(* 3 (/ y (- 1 x)))
(* 3 (/ y (- 1 x)))
(/ y (- 1 x))
(/ y (- 1 x))
(/ y (- 1 x))
(/ y (- 1 x))
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/ (* x (- (* 1/3 x) 4/3)) y)
(/ (* x (- (* 1/3 x) 4/3)) y)
(/ (* x (- (* 1/3 x) 4/3)) y)
(/ (* x (- (* 1/3 x) 4/3)) y)
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y)
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y)
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y)
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/ (+ 1/3 (* -1/3 x)) y)
(/ (+ 1/3 (* -1/3 x)) y)
(/ (+ 1/3 (* -1/3 x)) y)
(/ (+ 1/3 (* -1/3 x)) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 3 (/ y (- 1 x)))
(* 3 (/ y (- 1 x)))
(* 3 (/ y (- 1 x)))
(* 3 (/ y (- 1 x)))
(/ y (- 1 x))
(/ y (- 1 x))
(/ y (- 1 x))
(/ y (- 1 x))
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/ (* x (- (* 1/3 x) 4/3)) y)
(/ (* x (- (* 1/3 x) 4/3)) y)
(/ (* x (- (* 1/3 x) 4/3)) y)
(/ (* x (- (* 1/3 x) 4/3)) y)
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y)
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y)
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y)
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/ (+ 1/3 (* -1/3 x)) y)
(/ (+ 1/3 (* -1/3 x)) y)
(/ (+ 1/3 (* -1/3 x)) y)
(/ (+ 1/3 (* -1/3 x)) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 3 (/ y (- 1 x)))
(* 3 (/ y (- 1 x)))
(* 3 (/ y (- 1 x)))
(* 3 (/ y (- 1 x)))
(/ y (- 1 x))
(/ y (- 1 x))
(/ y (- 1 x))
(/ y (- 1 x))
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(/ 1/3 y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/ (* x (- (* 1/3 x) 4/3)) y)
(/ (* x (- (* 1/3 x) 4/3)) y)
(/ (* x (- (* 1/3 x) 4/3)) y)
(/ (* x (- (* 1/3 x) 4/3)) y)
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y)
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y)
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y)
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/ (+ 1/3 (* -1/3 x)) y)
(/ (+ 1/3 (* -1/3 x)) y)
(/ (+ 1/3 (* -1/3 x)) y)
(/ (+ 1/3 (* -1/3 x)) y)
(/ 1 y)
(+ (* -4/3 (/ x y)) (/ 1 y))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(* 3 y)
(+ (* 3 y) (* 3 (* x y)))
(+ (* 3 y) (* x (+ (* 3 y) (* 3 (* x y)))))
(+ (* 3 y) (* x (+ (* 3 y) (* x (+ (* 3 y) (* 3 (* x y)))))))
3
(+ 3 (* -1 x))
(+ 3 (* -1 x))
(+ 3 (* -1 x))
y
(+ y (* x y))
(+ y (* x (- (* x y) (* -1 y))))
(+ y (* x (- (* x (- (* x y) (* -1 y))) (* -1 y))))
(/ 1 y)
(+ (* -4/3 (/ x y)) (/ 1 y))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(/ 1 y)
(+ (* -4/3 (/ x y)) (/ 1 y))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ 1 y)
(+ (* -4/3 (/ x y)) (/ 1 y))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(* -4/3 (/ x y))
(* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y))))
(* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y))))
(* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y))))
-4/3
(- (* 1/3 x) 4/3)
(- (* 1/3 x) 4/3)
(- (* 1/3 x) 4/3)
(/ 1 y)
(+ (* -4/3 (/ x y)) (/ 1 y))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(/ 1 y)
(+ (* -4/3 (/ x y)) (/ 1 y))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(/ 1/3 y)
(+ (* -1/3 (/ x y)) (* 1/3 (/ 1 y)))
(+ (* -1/3 (/ x y)) (* 1/3 (/ 1 y)))
(+ (* -1/3 (/ x y)) (* 1/3 (/ 1 y)))
1/3
(+ 1/3 (* -1/3 x))
(+ 1/3 (* -1/3 x))
(+ 1/3 (* -1/3 x))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* 1/3 (/ (pow x 2) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(* -3 (/ y x))
(/ (+ (* -3 y) (* -3 (/ y x))) x)
(/ (+ (* -3 y) (+ (* -3 (/ y x)) (* -3 (/ y (pow x 2))))) x)
(/ (+ (* -3 y) (+ (* -3 (/ y x)) (+ (* -3 (/ y (pow x 2))) (* -3 (/ y (pow x 3)))))) x)
(* -1 x)
(* x (- (* 3 (/ 1 x)) 1))
(* x (- (* 3 (/ 1 x)) 1))
(* x (- (* 3 (/ 1 x)) 1))
(* -1 (/ y x))
(/ (+ (* -1 y) (* -1 (/ y x))) x)
(/ (- (+ (* -1 y) (* -1 (/ y (pow x 2)))) (/ y x)) x)
(/ (- (+ (* -1 y) (* -1 (/ y (pow x 3)))) (+ (/ y x) (/ y (pow x 2)))) x)
(* 1/3 (/ (pow x 2) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(* 1/3 (/ (pow x 2) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* 1/3 (/ (pow x 2) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(* 1/3 (/ (pow x 2) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* 1/3 x)
(* x (- 1/3 (* 4/3 (/ 1 x))))
(* x (- 1/3 (* 4/3 (/ 1 x))))
(* x (- 1/3 (* 4/3 (/ 1 x))))
(* 1/3 (/ (pow x 2) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(* 1/3 (/ (pow x 2) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(* -1/3 (/ x y))
(* x (- (* 1/3 (/ 1 (* x y))) (* 1/3 (/ 1 y))))
(* x (- (* 1/3 (/ 1 (* x y))) (* 1/3 (/ 1 y))))
(* x (- (* 1/3 (/ 1 (* x y))) (* 1/3 (/ 1 y))))
(* -1/3 x)
(* x (- (* 1/3 (/ 1 x)) 1/3))
(* x (- (* 1/3 (/ 1 x)) 1/3))
(* x (- (* 1/3 (/ 1 x)) 1/3))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* 1/3 (/ (pow x 2) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(* -3 (/ y x))
(* -1 (/ (+ (* 3 y) (* 3 (/ y x))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -3 y) (* -3 (/ y x))) x)) (* 3 y)) x))
(* -1 (/ (+ (* -1 (/ (+ (* -3 y) (* -1 (/ (+ (* 3 y) (* 3 (/ y x))) x))) x)) (* 3 y)) x))
(* -1 x)
(* -1 (* x (- 1 (* 3 (/ 1 x)))))
(* -1 (* x (- 1 (* 3 (/ 1 x)))))
(* -1 (* x (- 1 (* 3 (/ 1 x)))))
(* -1 (/ y x))
(* -1 (/ (+ y (/ y x)) x))
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ y x)) y) x))) x))
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ y x) (* -1 y)) x)) y) x))) x))
(* 1/3 (/ (pow x 2) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(* 1/3 (/ (pow x 2) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ (pow x 2) y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(* 1/3 (/ x y))
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* 1/3 (/ (pow x 2) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(* 1/3 (/ (pow x 2) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* 1/3 x)
(* -1 (* x (- (* 4/3 (/ 1 x)) 1/3)))
(* -1 (* x (- (* 4/3 (/ 1 x)) 1/3)))
(* -1 (* x (- (* 4/3 (/ 1 x)) 1/3)))
(* 1/3 (/ (pow x 2) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(* 1/3 (/ (pow x 2) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(* -1/3 (/ x y))
(* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y))))))
(* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y))))))
(* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y))))))
(* -1/3 x)
(* -1 (* x (- 1/3 (* 1/3 (/ 1 x)))))
(* -1 (* x (- 1/3 (* 1/3 (/ 1 x)))))
(* -1 (* x (- 1/3 (* 1/3 (/ 1 x)))))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
Outputs
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(* 3 (/ y (- 1 x)))
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(* 3 (/ y (- 1 x)))
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(* 3 (/ y (- 1 x)))
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(* 3 (/ y (- 1 x)))
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(/ y (- 1 x))
(/.f64 y (-.f64 #s(literal 1 binary64) x))
(/ y (- 1 x))
(/.f64 y (-.f64 #s(literal 1 binary64) x))
(/ y (- 1 x))
(/.f64 y (-.f64 #s(literal 1 binary64) x))
(/ y (- 1 x))
(/.f64 y (-.f64 #s(literal 1 binary64) x))
(/ 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)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
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(*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 4/3 binary64) x))) (*.f64 x x))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (/.f64 #s(literal -4/3 binary64) y)) x)) x) x)
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (/.f64 #s(literal -4/3 binary64) y)) x)) x) x)
(* 1/3 (/ (pow x 2) y))
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 4/3 binary64) x))) (*.f64 x x))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (/.f64 #s(literal -4/3 binary64) y)) x)) x) x)
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (/.f64 #s(literal -4/3 binary64) y)) x)) x) x)
(* 1/3 (/ (pow x 2) y))
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)
(* 1/3 (/ (pow x 2) y))
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)
(* 1/3 (/ (pow x 2) y))
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)
(* 1/3 (/ (pow x 2) y))
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(* 1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* 1/3 (/ (pow x 2) y))
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 4/3 binary64) x))) (*.f64 x x))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (/.f64 #s(literal -4/3 binary64) y)) x)) x) x)
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (/.f64 #s(literal -4/3 binary64) y)) x)) x) x)
(* 1/3 (/ (pow x 2) y))
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 4/3 binary64) x))) (*.f64 x x))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 4/3 binary64) x))) (*.f64 x x))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 4/3 binary64) x))) (*.f64 x x))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* -1 (* x (- (* 4/3 (/ 1 x)) 1/3)))
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))
(* -1 (* x (- (* 4/3 (/ 1 x)) 1/3)))
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))
(* -1 (* x (- (* 4/3 (/ 1 x)) 1/3)))
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))
(* 1/3 (/ (pow x 2) y))
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 4/3 binary64) x))) (*.f64 x x))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (/.f64 #s(literal -4/3 binary64) y)) x)) x) x)
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (/.f64 #s(literal -4/3 binary64) y)) x)) x) x)
(* 1/3 (/ (pow x 2) y))
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 4/3 binary64) x))) (*.f64 x x))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (/.f64 #s(literal -4/3 binary64) y)) x)) x) x)
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (/.f64 #s(literal -4/3 binary64) y)) x)) x) x)
(* -1/3 (/ x y))
(*.f64 #s(literal -1/3 binary64) (/.f64 x y))
(* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y))))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)
(* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y))))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)
(* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y))))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1 (* x (- 1/3 (* 1/3 (/ 1 x)))))
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64))
(* -1 (* x (- 1/3 (* 1/3 (/ 1 x)))))
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64))
(* -1 (* x (- 1/3 (* 1/3 (/ 1 x)))))
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64))
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)

rewrite208.0ms (2.7%)

Memory
-28.3MiB live, 211.1MiB allocated
Rules
5 050×lower-/.f32
5 040×lower-/.f64
3 786×lower-*.f32
3 774×lower-*.f64
3 612×lower-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034162
052159
1203159
21485152
08494152
Stop Event
iter limit
node limit
iter limit
Counts
19 → 1 185
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(-.f64 #s(literal 3 binary64) x)
(/.f64 y (-.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y))
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y)))
(/.f64 #s(literal 1/3 binary64) y)
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x))
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)
(*.f64 (/.f64 x y) #s(literal 1/3 binary64))
(/.f64 x y)
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))))
(*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))
(fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)))
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64))
(-.f64 #s(literal 1 binary64) x)
Outputs
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eval226.0ms (2.9%)

Memory
27.5MiB live, 409.2MiB allocated
Compiler

Compiled 29 080 to 3 614 computations (87.6% saved)

prune69.0ms (0.9%)

Memory
13.2MiB live, 171.1MiB allocated
Pruning

22 alts after pruning (17 fresh and 5 done)

PrunedKeptTotal
New1 662111 673
Fresh4610
Picked235
Done123
Total1 669221 691
Accuracy
100.0%
Counts
1 691 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
49.3%
(/.f64 (-.f64 #s(literal 3 binary64) x) #s(approx (* (/ y (- 1 x)) 3) (*.f64 (/.f64 y x) #s(literal -3 binary64))))
56.7%
(/.f64 (-.f64 #s(literal 3 binary64) x) #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64))))
49.5%
(/.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) x)) #s(literal 3 binary64))
57.1%
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64)))
42.9%
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64)))
52.8%
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
43.5%
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) y) #s(literal 1/3 binary64))
52.7%
(*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64))
49.5%
(*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) x)) #s(literal 1/3 binary64))
99.8%
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)))
43.4%
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (/.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x) y))
56.6%
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)))
49.5%
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) (*.f64 x #s(literal 1/3 binary64)))))
8.6%
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) #s(literal -4/3 binary64))))
50.0%
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y)) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))))
50.0%
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y)))
8.6%
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)))
53.0%
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y))
49.5%
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 y #s(literal 3 binary64))) x))
49.5%
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x))
52.7%
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y)))
Compiler

Compiled 329 to 303 computations (7.9% saved)

simplify150.0ms (1.9%)

Memory
0.5MiB live, 232.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (-.f64 x #s(literal 4 binary64)) x)
cost-diff0
#s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x))
cost-diff0
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) y)
cost-diff0
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) y) #s(literal 1/3 binary64))
cost-diff0
(/.f64 x y)
cost-diff0
(*.f64 (/.f64 x y) x)
cost-diff0
#s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) x))
cost-diff0
(*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) x)) #s(literal 1/3 binary64))
cost-diff0
#s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64))
cost-diff0
(/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y)
cost-diff0
(*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))
cost-diff0
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)))
cost-diff0
(/.f64 #s(literal -4/3 binary64) y)
cost-diff0
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x)
cost-diff0
#s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))
cost-diff0
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)))
cost-diff0
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64))
cost-diff0
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y)
cost-diff0
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
cost-diff0
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)))
Rules
12 056×lower-fma.f32
12 054×lower-fma.f64
3 532×lower-*.f32
3 518×lower-*.f64
1 178×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046263
062263
1117263
2243263
3512263
41430260
55176260
08146254
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y)
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64))
#s(literal -1/3 binary64)
x
#s(literal 1 binary64)
y
(-.f64 #s(literal 1 binary64) x)
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)))
#s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x)
(/.f64 #s(literal -4/3 binary64) y)
#s(literal -4/3 binary64)
y
x
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)))
(*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))
(/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y)
#s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
y
(-.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
(*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) x)) #s(literal 1/3 binary64))
#s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) x))
(*.f64 (/.f64 x y) x)
(/.f64 x y)
x
y
#s(literal 1/3 binary64)
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) y) #s(literal 1/3 binary64))
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) y)
#s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x))
(*.f64 (-.f64 x #s(literal 4 binary64)) x)
(-.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
y
#s(literal 1/3 binary64)
Outputs
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/3 binary64)) y) (-.f64 x #s(literal 3 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/3 binary64)) y) (-.f64 x #s(literal 3 binary64)))
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y)
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64))
#s(literal -1/3 binary64)
x
#s(literal 1 binary64)
y
(-.f64 #s(literal 1 binary64) x)
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 x y) #s(literal -4/3 binary64))))
#s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))
#s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 x y) #s(literal -4/3 binary64)))
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x)
(*.f64 (/.f64 x y) #s(literal -4/3 binary64))
(/.f64 #s(literal -4/3 binary64) y)
#s(literal -4/3 binary64)
y
x
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)))
(*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))
(/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y)
#s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
y
(-.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
(*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) x)) #s(literal 1/3 binary64))
#s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) x))
(*.f64 (/.f64 x y) x)
(/.f64 x y)
x
y
#s(literal 1/3 binary64)
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) y) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1/3 binary64) y) #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)))
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) y)
#s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x))
(*.f64 (-.f64 x #s(literal 4 binary64)) x)
(-.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
y
#s(literal 1/3 binary64)

localize253.0ms (3.3%)

Memory
-25.6MiB live, 166.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(*.f64 (-.f64 x #s(literal 4 binary64)) x)
accuracy0.2421875
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) y) #s(literal 1/3 binary64))
accuracy4.248950240621266
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) y)
accuracy32.076875370339344
#s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x))
accuracy0
(/.f64 x y)
accuracy0.1171875
(*.f64 (/.f64 x y) x)
accuracy0.2421875
(*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) x)) #s(literal 1/3 binary64))
accuracy32.235689689258145
#s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) x))
accuracy0
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)))
accuracy0.21484375
(*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))
accuracy0.28515625
(/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y)
accuracy30.698503816577794
#s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64))
accuracy0.36328125
(/.f64 #s(literal -4/3 binary64) y)
accuracy0.43263852941536424
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x)
accuracy27.538040997412253
#s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))
accuracy31.913667057198243
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)))
accuracy0
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)))
accuracy0.07421875
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
accuracy0.08984375
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y)
accuracy0.1875
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64))
Samples
192.0ms256×0valid
Compiler

Compiled 185 to 38 computations (79.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 175.0ms
ival-div: 116.0ms (66.2% of total)
ival-mult: 41.0ms (23.4% of total)
const: 10.0ms (5.7% of total)
ival-sub: 4.0ms (2.3% of total)
ival-add: 3.0ms (1.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series34.0ms (0.4%)

Memory
-9.1MiB live, 68.2MiB allocated
Counts
20 → 420
Calls
Call 1
Inputs
#s(alt #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) (patch #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) (patch (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (patch (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) (patch #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) #<representation binary64>) () ())
#s(alt #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)) (patch #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(literal -4/3 binary64) y) x) (patch (*.f64 (/.f64 #s(literal -4/3 binary64) y) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -4/3 binary64) y) (patch (/.f64 #s(literal -4/3 binary64) y) #<representation binary64>) () ())
#s(alt #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) (patch #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) (patch (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (patch (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) #<representation binary64>) () ())
#s(alt #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) (patch #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) x)) #s(literal 1/3 binary64)) (patch (*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) x)) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) x)) (patch #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) x)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 x y) x) (patch (*.f64 (/.f64 x y) x) #<representation binary64>) () ())
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) y) #s(literal 1/3 binary64)) (patch (*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) y) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) y) (patch (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) y) #<representation binary64>) () ())
#s(alt #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (patch #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 x #s(literal 4 binary64)) x) (patch (*.f64 (-.f64 x #s(literal 4 binary64)) x) #<representation binary64>) () ())
Outputs
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) (patch #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) (patch #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) (patch #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) (patch #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) (taylor 0 y) (#s(alt (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) (patch (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) (taylor 0 y) (#s(alt (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) (patch (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) (taylor 0 y) (#s(alt (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) (patch (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (* (+ 1 (* -1/3 x)) (- 1 x)) y) (taylor 0 y) (#s(alt (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) (patch (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1/3 x)) y) (taylor 0 y) (#s(alt (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (patch (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1/3 x)) y) (taylor 0 y) (#s(alt (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (patch (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1/3 x)) y) (taylor 0 y) (#s(alt (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (patch (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1/3 x)) y) (taylor 0 y) (#s(alt (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (patch (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) (patch #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) (patch #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) (patch #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) (patch #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (* 1/3 x) 4/3)) y) (taylor 0 y) (#s(alt #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)) (patch #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (* 1/3 x) 4/3)) y) (taylor 0 y) (#s(alt #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)) (patch #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (* 1/3 x) 4/3)) y) (taylor 0 y) (#s(alt #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)) (patch #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- (* 1/3 x) 4/3)) y) (taylor 0 y) (#s(alt #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)) (patch #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)) #<representation binary64>) () ())) ())
#s(alt (* -4/3 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -4/3 binary64) y) x) (patch (*.f64 (/.f64 #s(literal -4/3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* -4/3 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -4/3 binary64) y) x) (patch (*.f64 (/.f64 #s(literal -4/3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* -4/3 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -4/3 binary64) y) x) (patch (*.f64 (/.f64 #s(literal -4/3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* -4/3 (/ x y)) (taylor 0 y) (#s(alt (*.f64 (/.f64 #s(literal -4/3 binary64) y) x) (patch (*.f64 (/.f64 #s(literal -4/3 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (/ -4/3 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -4/3 binary64) y) (patch (/.f64 #s(literal -4/3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -4/3 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -4/3 binary64) y) (patch (/.f64 #s(literal -4/3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -4/3 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -4/3 binary64) y) (patch (/.f64 #s(literal -4/3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -4/3 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -4/3 binary64) y) (patch (/.f64 #s(literal -4/3 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (* (- 1 x) (- 3 x)) y)) (taylor 0 y) (#s(alt #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) (patch #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x)))) (taylor -inf x) (#s(alt #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (patch #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal 4 binary64)) x) (patch (*.f64 (-.f64 x #s(literal 4 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 4 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal 4 binary64)) x) (patch (*.f64 (-.f64 x #s(literal 4 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 4 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal 4 binary64)) x) (patch (*.f64 (-.f64 x #s(literal 4 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 4 (/ 1 x)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x #s(literal 4 binary64)) x) (patch (*.f64 (-.f64 x #s(literal 4 binary64)) x) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
6.0ms
y
@-inf
((/ (- 3 x) (* (/ y (- 1 x)) 3)) (* (/ (+ (* -1/3 x) 1) y) (- 1 x)) (/ (+ (* -1/3 x) 1) y) (+ (* -1/3 x) 1) (/ (* (/ (- 3 x) y) (- 1 x)) 3) (* (/ x y) (+ (* x 1/3) -4/3)) (* (/ -4/3 y) x) (/ -4/3 y) (/ (* (/ (- 3 x) y) (- 1 x)) 3) (* (/ (+ (* -1/3 x) 1/3) y) (- 3 x)) (/ (+ (* -1/3 x) 1/3) y) (+ (* -1/3 x) 1/3) (* (* (/ (- 3 x) y) (- 1 x)) 1/3) (* (/ (- 3 x) y) (- 1 x)) (* (/ x y) x) (/ x y) (* (/ (* (- 1 x) (- 3 x)) y) 1/3) (/ (* (- 1 x) (- 3 x)) y) (* (- 1 x) (- 3 x)) (* (- x 4) x))
4.0ms
y
@0
((/ (- 3 x) (* (/ y (- 1 x)) 3)) (* (/ (+ (* -1/3 x) 1) y) (- 1 x)) (/ (+ (* -1/3 x) 1) y) (+ (* -1/3 x) 1) (/ (* (/ (- 3 x) y) (- 1 x)) 3) (* (/ x y) (+ (* x 1/3) -4/3)) (* (/ -4/3 y) x) (/ -4/3 y) (/ (* (/ (- 3 x) y) (- 1 x)) 3) (* (/ (+ (* -1/3 x) 1/3) y) (- 3 x)) (/ (+ (* -1/3 x) 1/3) y) (+ (* -1/3 x) 1/3) (* (* (/ (- 3 x) y) (- 1 x)) 1/3) (* (/ (- 3 x) y) (- 1 x)) (* (/ x y) x) (/ x y) (* (/ (* (- 1 x) (- 3 x)) y) 1/3) (/ (* (- 1 x) (- 3 x)) y) (* (- 1 x) (- 3 x)) (* (- x 4) x))
3.0ms
y
@inf
((/ (- 3 x) (* (/ y (- 1 x)) 3)) (* (/ (+ (* -1/3 x) 1) y) (- 1 x)) (/ (+ (* -1/3 x) 1) y) (+ (* -1/3 x) 1) (/ (* (/ (- 3 x) y) (- 1 x)) 3) (* (/ x y) (+ (* x 1/3) -4/3)) (* (/ -4/3 y) x) (/ -4/3 y) (/ (* (/ (- 3 x) y) (- 1 x)) 3) (* (/ (+ (* -1/3 x) 1/3) y) (- 3 x)) (/ (+ (* -1/3 x) 1/3) y) (+ (* -1/3 x) 1/3) (* (* (/ (- 3 x) y) (- 1 x)) 1/3) (* (/ (- 3 x) y) (- 1 x)) (* (/ x y) x) (/ x y) (* (/ (* (- 1 x) (- 3 x)) y) 1/3) (/ (* (- 1 x) (- 3 x)) y) (* (- 1 x) (- 3 x)) (* (- x 4) x))
2.0ms
x
@inf
((/ (- 3 x) (* (/ y (- 1 x)) 3)) (* (/ (+ (* -1/3 x) 1) y) (- 1 x)) (/ (+ (* -1/3 x) 1) y) (+ (* -1/3 x) 1) (/ (* (/ (- 3 x) y) (- 1 x)) 3) (* (/ x y) (+ (* x 1/3) -4/3)) (* (/ -4/3 y) x) (/ -4/3 y) (/ (* (/ (- 3 x) y) (- 1 x)) 3) (* (/ (+ (* -1/3 x) 1/3) y) (- 3 x)) (/ (+ (* -1/3 x) 1/3) y) (+ (* -1/3 x) 1/3) (* (* (/ (- 3 x) y) (- 1 x)) 1/3) (* (/ (- 3 x) y) (- 1 x)) (* (/ x y) x) (/ x y) (* (/ (* (- 1 x) (- 3 x)) y) 1/3) (/ (* (- 1 x) (- 3 x)) y) (* (- 1 x) (- 3 x)) (* (- x 4) x))
2.0ms
x
@-inf
((/ (- 3 x) (* (/ y (- 1 x)) 3)) (* (/ (+ (* -1/3 x) 1) y) (- 1 x)) (/ (+ (* -1/3 x) 1) y) (+ (* -1/3 x) 1) (/ (* (/ (- 3 x) y) (- 1 x)) 3) (* (/ x y) (+ (* x 1/3) -4/3)) (* (/ -4/3 y) x) (/ -4/3 y) (/ (* (/ (- 3 x) y) (- 1 x)) 3) (* (/ (+ (* -1/3 x) 1/3) y) (- 3 x)) (/ (+ (* -1/3 x) 1/3) y) (+ (* -1/3 x) 1/3) (* (* (/ (- 3 x) y) (- 1 x)) 1/3) (* (/ (- 3 x) y) (- 1 x)) (* (/ x y) x) (/ x y) (* (/ (* (- 1 x) (- 3 x)) y) 1/3) (/ (* (- 1 x) (- 3 x)) y) (* (- 1 x) (- 3 x)) (* (- x 4) x))

simplify164.0ms (2.1%)

Memory
44.5MiB live, 190.6MiB allocated
Algorithm
egg-herbie
Rules
10 326×lower-fma.f64
10 326×lower-fma.f32
3 828×lower-*.f64
3 828×lower-*.f32
1 570×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01273524
13573440
29363408
326433336
466303336
084143049
Stop Event
iter limit
node limit
Counts
420 → 420
Calls
Call 1
Inputs
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)
(/ (+ 1 (* -1/3 x)) y)
(/ (+ 1 (* -1/3 x)) y)
(/ (+ 1 (* -1/3 x)) y)
(/ (+ 1 (* -1/3 x)) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/ (* x (- (* 1/3 x) 4/3)) y)
(/ (* x (- (* 1/3 x) 4/3)) y)
(/ (* x (- (* 1/3 x) 4/3)) y)
(/ (* x (- (* 1/3 x) 4/3)) y)
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(/ -4/3 y)
(/ -4/3 y)
(/ -4/3 y)
(/ -4/3 y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y)
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y)
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y)
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y)
(/ (+ 1/3 (* -1/3 x)) y)
(/ (+ 1/3 (* -1/3 x)) y)
(/ (+ 1/3 (* -1/3 x)) y)
(/ (+ 1/3 (* -1/3 x)) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/ (* (- 1 x) (- 3 x)) y)
(/ (* (- 1 x) (- 3 x)) y)
(/ (* (- 1 x) (- 3 x)) y)
(/ (* (- 1 x) (- 3 x)) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/ (* (- 1 x) (- 3 x)) y)
(/ (* (- 1 x) (- 3 x)) y)
(/ (* (- 1 x) (- 3 x)) y)
(/ (* (- 1 x) (- 3 x)) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)
(/ (+ 1 (* -1/3 x)) y)
(/ (+ 1 (* -1/3 x)) y)
(/ (+ 1 (* -1/3 x)) y)
(/ (+ 1 (* -1/3 x)) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/ (* x (- (* 1/3 x) 4/3)) y)
(/ (* x (- (* 1/3 x) 4/3)) y)
(/ (* x (- (* 1/3 x) 4/3)) y)
(/ (* x (- (* 1/3 x) 4/3)) y)
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(/ -4/3 y)
(/ -4/3 y)
(/ -4/3 y)
(/ -4/3 y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y)
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y)
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y)
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y)
(/ (+ 1/3 (* -1/3 x)) y)
(/ (+ 1/3 (* -1/3 x)) y)
(/ (+ 1/3 (* -1/3 x)) y)
(/ (+ 1/3 (* -1/3 x)) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/ (* (- 1 x) (- 3 x)) y)
(/ (* (- 1 x) (- 3 x)) y)
(/ (* (- 1 x) (- 3 x)) y)
(/ (* (- 1 x) (- 3 x)) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/ (* (- 1 x) (- 3 x)) y)
(/ (* (- 1 x) (- 3 x)) y)
(/ (* (- 1 x) (- 3 x)) y)
(/ (* (- 1 x) (- 3 x)) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)
(/ (+ 1 (* -1/3 x)) y)
(/ (+ 1 (* -1/3 x)) y)
(/ (+ 1 (* -1/3 x)) y)
(/ (+ 1 (* -1/3 x)) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/ (* x (- (* 1/3 x) 4/3)) y)
(/ (* x (- (* 1/3 x) 4/3)) y)
(/ (* x (- (* 1/3 x) 4/3)) y)
(/ (* x (- (* 1/3 x) 4/3)) y)
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(/ -4/3 y)
(/ -4/3 y)
(/ -4/3 y)
(/ -4/3 y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y)
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y)
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y)
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y)
(/ (+ 1/3 (* -1/3 x)) y)
(/ (+ 1/3 (* -1/3 x)) y)
(/ (+ 1/3 (* -1/3 x)) y)
(/ (+ 1/3 (* -1/3 x)) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/ (* (- 1 x) (- 3 x)) y)
(/ (* (- 1 x) (- 3 x)) y)
(/ (* (- 1 x) (- 3 x)) y)
(/ (* (- 1 x) (- 3 x)) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(/ (* (- 1 x) (- 3 x)) y)
(/ (* (- 1 x) (- 3 x)) y)
(/ (* (- 1 x) (- 3 x)) y)
(/ (* (- 1 x) (- 3 x)) y)
(/ 1 y)
(+ (* -4/3 (/ x y)) (/ 1 y))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(/ 1 y)
(+ (* -4/3 (/ x y)) (/ 1 y))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(/ 1 y)
(+ (* -1/3 (/ x y)) (/ 1 y))
(+ (* -1/3 (/ x y)) (/ 1 y))
(+ (* -1/3 (/ x y)) (/ 1 y))
1
(+ 1 (* -1/3 x))
(+ 1 (* -1/3 x))
(+ 1 (* -1/3 x))
(/ 1 y)
(+ (* -4/3 (/ x y)) (/ 1 y))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(* -4/3 (/ x y))
(* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y))))
(* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y))))
(* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y))))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(/ 1 y)
(+ (* -4/3 (/ x y)) (/ 1 y))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(/ 1 y)
(+ (* -4/3 (/ x y)) (/ 1 y))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(/ 1/3 y)
(+ (* -1/3 (/ x y)) (* 1/3 (/ 1 y)))
(+ (* -1/3 (/ x y)) (* 1/3 (/ 1 y)))
(+ (* -1/3 (/ x y)) (* 1/3 (/ 1 y)))
1/3
(+ 1/3 (* -1/3 x))
(+ 1/3 (* -1/3 x))
(+ 1/3 (* -1/3 x))
(/ 1 y)
(+ (* -4/3 (/ x y)) (/ 1 y))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(/ 3 y)
(+ (* -4 (/ x y)) (* 3 (/ 1 y)))
(+ (* x (- (/ x y) (* 4 (/ 1 y)))) (* 3 (/ 1 y)))
(+ (* x (- (/ x y) (* 4 (/ 1 y)))) (* 3 (/ 1 y)))
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(/ 1 y)
(+ (* -4/3 (/ x y)) (/ 1 y))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(+ (* x (- (* 1/3 (/ x y)) (* 4/3 (/ 1 y)))) (/ 1 y))
(/ 3 y)
(+ (* -4 (/ x y)) (* 3 (/ 1 y)))
(+ (* x (- (/ x y) (* 4 (/ 1 y)))) (* 3 (/ 1 y)))
(+ (* x (- (/ x y) (* 4 (/ 1 y)))) (* 3 (/ 1 y)))
3
(+ 3 (* -4 x))
(+ 3 (* x (- x 4)))
(+ 3 (* x (- x 4)))
(* -4 x)
(* x (- x 4))
(* x (- x 4))
(* x (- x 4))
(* 1/3 (/ (pow x 2) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(* 1/3 (/ (pow x 2) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(* -1/3 (/ x y))
(* x (- (/ 1 (* x y)) (* 1/3 (/ 1 y))))
(* x (- (/ 1 (* x y)) (* 1/3 (/ 1 y))))
(* x (- (/ 1 (* x y)) (* 1/3 (/ 1 y))))
(* -1/3 x)
(* x (- (/ 1 x) 1/3))
(* x (- (/ 1 x) 1/3))
(* x (- (/ 1 x) 1/3))
(* 1/3 (/ (pow x 2) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(* 1/3 (/ (pow x 2) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* 1/3 (/ (pow x 2) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(* 1/3 (/ (pow x 2) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(* -1/3 (/ x y))
(* x (- (* 1/3 (/ 1 (* x y))) (* 1/3 (/ 1 y))))
(* x (- (* 1/3 (/ 1 (* x y))) (* 1/3 (/ 1 y))))
(* x (- (* 1/3 (/ 1 (* x y))) (* 1/3 (/ 1 y))))
(* -1/3 x)
(* x (- (* 1/3 (/ 1 x)) 1/3))
(* x (- (* 1/3 (/ 1 x)) 1/3))
(* x (- (* 1/3 (/ 1 x)) 1/3))
(* 1/3 (/ (pow x 2) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(/ (pow x 2) y)
(* (pow x 2) (- (/ 1 y) (* 4 (/ 1 (* x y)))))
(* (pow x 2) (- (+ (/ 1 y) (/ 3 (* (pow x 2) y))) (/ 4 (* x y))))
(* (pow x 2) (- (+ (/ 1 y) (/ 3 (* (pow x 2) y))) (/ 4 (* x y))))
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* 1/3 (/ (pow x 2) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
(/ (pow x 2) y)
(* (pow x 2) (- (/ 1 y) (* 4 (/ 1 (* x y)))))
(* (pow x 2) (- (+ (/ 1 y) (/ 3 (* (pow x 2) y))) (/ 4 (* x y))))
(* (pow x 2) (- (+ (/ 1 y) (/ 3 (* (pow x 2) y))) (/ 4 (* x y))))
(pow x 2)
(* (pow x 2) (- 1 (* 4 (/ 1 x))))
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x))))
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x))))
(pow x 2)
(* (pow x 2) (- 1 (* 4 (/ 1 x))))
(* (pow x 2) (- 1 (* 4 (/ 1 x))))
(* (pow x 2) (- 1 (* 4 (/ 1 x))))
(* 1/3 (/ (pow x 2) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(* 1/3 (/ (pow x 2) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(* -1/3 (/ x y))
(* -1 (* x (- (* 1/3 (/ 1 y)) (/ 1 (* x y)))))
(* -1 (* x (- (* 1/3 (/ 1 y)) (/ 1 (* x y)))))
(* -1 (* x (- (* 1/3 (/ 1 y)) (/ 1 (* x y)))))
(* -1/3 x)
(* -1 (* x (- 1/3 (/ 1 x))))
(* -1 (* x (- 1/3 (/ 1 x))))
(* -1 (* x (- 1/3 (/ 1 x))))
(* 1/3 (/ (pow x 2) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(* 1/3 (/ (pow x 2) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* -4/3 (/ x y))
(* 1/3 (/ (pow x 2) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(* 1/3 (/ (pow x 2) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(* -1/3 (/ x y))
(* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y))))))
(* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y))))))
(* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y))))))
(* -1/3 x)
(* -1 (* x (- 1/3 (* 1/3 (/ 1 x)))))
(* -1 (* x (- 1/3 (* 1/3 (/ 1 x)))))
(* -1 (* x (- 1/3 (* 1/3 (/ 1 x)))))
(* 1/3 (/ (pow x 2) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(/ (pow x 2) y)
(* (pow x 2) (- (/ 1 y) (* 4 (/ 1 (* x y)))))
(* (pow x 2) (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 3 (/ 1 (* x y)))) x)) (/ 1 y)))
(* (pow x 2) (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 3 (/ 1 (* x y)))) x)) (/ 1 y)))
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ x y)
(/ x y)
(/ x y)
(/ x y)
(* 1/3 (/ (pow x 2) y))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(/ (pow x 2) y)
(* (pow x 2) (- (/ 1 y) (* 4 (/ 1 (* x y)))))
(* (pow x 2) (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 3 (/ 1 (* x y)))) x)) (/ 1 y)))
(* (pow x 2) (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 3 (/ 1 (* x y)))) x)) (/ 1 y)))
(pow x 2)
(* (pow x 2) (- 1 (* 4 (/ 1 x))))
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x))))
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x))))
(pow x 2)
(* (pow x 2) (- 1 (* 4 (/ 1 x))))
(* (pow x 2) (- 1 (* 4 (/ 1 x))))
(* (pow x 2) (- 1 (* 4 (/ 1 x))))
Outputs
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(/ (+ 1 (* -1/3 x)) y)
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y)
(/ (+ 1 (* -1/3 x)) y)
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y)
(/ (+ 1 (* -1/3 x)) y)
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y)
(/ (+ 1 (* -1/3 x)) y)
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(/ (* x (- (* 1/3 x) 4/3)) y)
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x)
(/ (* x (- (* 1/3 x) 4/3)) y)
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x)
(/ (* x (- (* 1/3 x) 4/3)) y)
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x)
(/ (* x (- (* 1/3 x) 4/3)) y)
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x)
(* -4/3 (/ x y))
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x)
(* -4/3 (/ x y))
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x)
(* -4/3 (/ x y))
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x)
(* -4/3 (/ x y))
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x)
(/ -4/3 y)
(/.f64 #s(literal -4/3 binary64) y)
(/ -4/3 y)
(/.f64 #s(literal -4/3 binary64) y)
(/ -4/3 y)
(/.f64 #s(literal -4/3 binary64) y)
(/ -4/3 y)
(/.f64 #s(literal -4/3 binary64) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y)
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y)
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y)
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y)
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(/ (+ 1/3 (* -1/3 x)) y)
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)
(/ (+ 1/3 (* -1/3 x)) y)
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)
(/ (+ 1/3 (* -1/3 x)) y)
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)
(/ (+ 1/3 (* -1/3 x)) y)
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(/ (* (- 1 x) (- 3 x)) y)
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x))
(/ (* (- 1 x) (- 3 x)) y)
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x))
(/ (* (- 1 x) (- 3 x)) y)
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x))
(/ (* (- 1 x) (- 3 x)) y)
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x))
(/ (pow x 2) y)
(*.f64 (/.f64 x y) x)
(/ (pow x 2) y)
(*.f64 (/.f64 x y) x)
(/ (pow x 2) y)
(*.f64 (/.f64 x y) x)
(/ (pow x 2) y)
(*.f64 (/.f64 x y) x)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(/ (* (- 1 x) (- 3 x)) y)
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x))
(/ (* (- 1 x) (- 3 x)) y)
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x))
(/ (* (- 1 x) (- 3 x)) y)
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x))
(/ (* (- 1 x) (- 3 x)) y)
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(/ (* (+ 1 (* -1/3 x)) (- 1 x)) y)
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(/ (+ 1 (* -1/3 x)) y)
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y)
(/ (+ 1 (* -1/3 x)) y)
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y)
(/ (+ 1 (* -1/3 x)) y)
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y)
(/ (+ 1 (* -1/3 x)) y)
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(/ (* x (- (* 1/3 x) 4/3)) y)
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x)
(/ (* x (- (* 1/3 x) 4/3)) y)
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x)
(/ (* x (- (* 1/3 x) 4/3)) y)
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x)
(/ (* x (- (* 1/3 x) 4/3)) y)
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x)
(* -4/3 (/ x y))
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x)
(* -4/3 (/ x y))
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x)
(* -4/3 (/ x y))
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x)
(* -4/3 (/ x y))
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x)
(/ -4/3 y)
(/.f64 #s(literal -4/3 binary64) y)
(/ -4/3 y)
(/.f64 #s(literal -4/3 binary64) y)
(/ -4/3 y)
(/.f64 #s(literal -4/3 binary64) y)
(/ -4/3 y)
(/.f64 #s(literal -4/3 binary64) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y)
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y)
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y)
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(/ (* (+ 1/3 (* -1/3 x)) (- 3 x)) y)
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(/ (+ 1/3 (* -1/3 x)) y)
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)
(/ (+ 1/3 (* -1/3 x)) y)
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)
(/ (+ 1/3 (* -1/3 x)) y)
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)
(/ (+ 1/3 (* -1/3 x)) y)
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(/ (* (- 1 x) (- 3 x)) y)
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x))
(/ (* (- 1 x) (- 3 x)) y)
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x))
(/ (* (- 1 x) (- 3 x)) y)
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x))
(/ (* (- 1 x) (- 3 x)) y)
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x))
(/ (pow x 2) y)
(*.f64 (/.f64 x y) x)
(/ (pow x 2) y)
(*.f64 (/.f64 x y) x)
(/ (pow x 2) y)
(*.f64 (/.f64 x y) x)
(/ (pow x 2) y)
(*.f64 (/.f64 x y) x)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(/ x y)
(/.f64 x y)
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(* 1/3 (/ (* (- 1 x) (- 3 x)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(/ (* (- 1 x) (- 3 x)) y)
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x))
(/ (* (- 1 x) (- 3 x)) y)
(*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x))
(/ (* (- 1 x) (- 3 x)) y)
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(* 1/3 (/ (pow x 2) y))
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))
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(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x)
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x)
(* -4/3 (/ x y))
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x)
(* -4/3 (/ x y))
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x)
(* -4/3 (/ x y))
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x)
(* -4/3 (/ x y))
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x)
(* 1/3 (/ (pow x 2) y))
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
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(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
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(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
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(* 1/3 (/ (pow x 2) y))
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
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(* -1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal -1/3 binary64))
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(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)
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(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)
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(* x (- (* 1/3 (/ 1 x)) 1/3))
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64))
(* x (- (* 1/3 (/ 1 x)) 1/3))
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64))
(* x (- (* 1/3 (/ 1 x)) 1/3))
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(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
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(/ (pow x 2) y)
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(* (pow x 2) (- (/ 1 y) (* 4 (/ 1 (* x y)))))
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(* (pow x 2) (- (+ (/ 1 y) (/ 3 (* (pow x 2) y))) (/ 4 (* x y))))
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(* (pow x 2) (- (+ (/ 1 y) (/ 3 (* (pow x 2) y))) (/ 4 (* x y))))
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 3 binary64) x)) (/.f64 x y)) x)
(/ (pow x 2) y)
(*.f64 (/.f64 x y) x)
(/ (pow x 2) y)
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(/ (pow x 2) y)
(*.f64 (/.f64 x y) x)
(/ (pow x 2) y)
(*.f64 (/.f64 x y) x)
(/ x y)
(/.f64 x y)
(/ x y)
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(/ x y)
(/.f64 x y)
(/ x y)
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(* 1/3 (/ (pow x 2) y))
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
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(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
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(* (pow x 2) (- (+ (* 1/3 (/ 1 y)) (/ 1 (* (pow x 2) y))) (/ 4/3 (* x y))))
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(/ (pow x 2) y)
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(* (pow x 2) (- (/ 1 y) (* 4 (/ 1 (* x y)))))
(*.f64 (-.f64 x #s(literal 4 binary64)) (/.f64 x y))
(* (pow x 2) (- (+ (/ 1 y) (/ 3 (* (pow x 2) y))) (/ 4 (* x y))))
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(* (pow x 2) (- (+ (/ 1 y) (/ 3 (* (pow x 2) y))) (/ 4 (* x y))))
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 3 binary64) x)) (/.f64 x y)) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 4 (/ 1 x))))
(*.f64 (-.f64 x #s(literal 4 binary64)) x)
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x))))
(*.f64 (-.f64 x (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 3 binary64) x))) x)
(* (pow x 2) (- (+ 1 (/ 3 (pow x 2))) (* 4 (/ 1 x))))
(*.f64 (-.f64 x (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 3 binary64) x))) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 4 (/ 1 x))))
(*.f64 (-.f64 x #s(literal 4 binary64)) x)
(* (pow x 2) (- 1 (* 4 (/ 1 x))))
(*.f64 (-.f64 x #s(literal 4 binary64)) x)
(* (pow x 2) (- 1 (* 4 (/ 1 x))))
(*.f64 (-.f64 x #s(literal 4 binary64)) x)
(* 1/3 (/ (pow x 2) y))
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x)
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(fma.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(fma.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y))
(* 1/3 (/ (pow x 2) y))
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x)
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(fma.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(fma.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y))
(* -1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal -1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 y)) (/ 1 (* x y)))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y)
(* -1 (* x (- (* 1/3 (/ 1 y)) (/ 1 (* x y)))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y)
(* -1 (* x (- (* 1/3 (/ 1 y)) (/ 1 (* x y)))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1 (* x (- 1/3 (/ 1 x))))
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64))
(* -1 (* x (- 1/3 (/ 1 x))))
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64))
(* -1 (* x (- 1/3 (/ 1 x))))
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64))
(* 1/3 (/ (pow x 2) y))
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x)
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(fma.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(fma.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y))
(* 1/3 (/ (pow x 2) y))
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x)
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x)
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x)
(* -4/3 (/ x y))
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x)
(* -4/3 (/ x y))
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x)
(* -4/3 (/ x y))
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x)
(* -4/3 (/ x y))
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x)
(* 1/3 (/ (pow x 2) y))
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x)
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(fma.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(fma.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y))
(* 1/3 (/ (pow x 2) y))
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x)
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(fma.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(fma.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y))
(* -1/3 (/ x y))
(*.f64 (/.f64 x y) #s(literal -1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y))))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)
(* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y))))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)
(* -1 (* x (- (* 1/3 (/ 1 y)) (* 1/3 (/ 1 (* x y))))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(* -1 (* x (- 1/3 (* 1/3 (/ 1 x)))))
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64))
(* -1 (* x (- 1/3 (* 1/3 (/ 1 x)))))
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64))
(* -1 (* x (- 1/3 (* 1/3 (/ 1 x)))))
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64))
(* 1/3 (/ (pow x 2) y))
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x)
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(fma.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(fma.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y))
(/ (pow x 2) y)
(*.f64 (/.f64 x y) x)
(* (pow x 2) (- (/ 1 y) (* 4 (/ 1 (* x y)))))
(*.f64 (-.f64 x #s(literal 4 binary64)) (/.f64 x y))
(* (pow x 2) (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 3 (/ 1 (* x y)))) x)) (/ 1 y)))
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 3 binary64) x)) (/.f64 x y)) x)
(* (pow x 2) (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 3 (/ 1 (* x y)))) x)) (/ 1 y)))
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 3 binary64) x)) (/.f64 x y)) x)
(/ (pow x 2) y)
(*.f64 (/.f64 x y) x)
(/ (pow x 2) y)
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(/ (pow x 2) y)
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(/ (pow x 2) y)
(*.f64 (/.f64 x y) x)
(/ x y)
(/.f64 x y)
(/ x y)
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(/ x y)
(/.f64 x y)
(/ x y)
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(* 1/3 (/ (pow x 2) y))
(*.f64 (*.f64 (/.f64 x y) x) #s(literal 1/3 binary64))
(* (pow x 2) (- (* 1/3 (/ 1 y)) (* 4/3 (/ 1 (* x y)))))
(*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x)
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(fma.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y))
(* (pow x 2) (+ (* -1 (/ (- (* 4/3 (/ 1 y)) (/ 1 (* x y))) x)) (* 1/3 (/ 1 y))))
(fma.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x (/.f64 #s(literal 1 binary64) y))
(/ (pow x 2) y)
(*.f64 (/.f64 x y) x)
(* (pow x 2) (- (/ 1 y) (* 4 (/ 1 (* x y)))))
(*.f64 (-.f64 x #s(literal 4 binary64)) (/.f64 x y))
(* (pow x 2) (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 3 (/ 1 (* x y)))) x)) (/ 1 y)))
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 3 binary64) x)) (/.f64 x y)) x)
(* (pow x 2) (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 3 (/ 1 (* x y)))) x)) (/ 1 y)))
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 3 binary64) x)) (/.f64 x y)) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 4 (/ 1 x))))
(*.f64 (-.f64 x #s(literal 4 binary64)) x)
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x))))
(*.f64 (-.f64 x (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 3 binary64) x))) x)
(* (pow x 2) (+ 1 (* -1 (/ (- 4 (* 3 (/ 1 x))) x))))
(*.f64 (-.f64 x (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 3 binary64) x))) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 4 (/ 1 x))))
(*.f64 (-.f64 x #s(literal 4 binary64)) x)
(* (pow x 2) (- 1 (* 4 (/ 1 x))))
(*.f64 (-.f64 x #s(literal 4 binary64)) x)
(* (pow x 2) (- 1 (* 4 (/ 1 x))))
(*.f64 (-.f64 x #s(literal 4 binary64)) x)

rewrite183.0ms (2.4%)

Memory
-3.3MiB live, 230.9MiB allocated
Rules
6 080×lower-/.f32
6 070×lower-/.f64
4 038×lower-*.f32
4 024×lower-*.f64
3 046×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046236
062236
1240236
21762236
08401230
Stop Event
iter limit
node limit
iter limit
Counts
20 → 527
Calls
Call 1
Inputs
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y)
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)))
#s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))
(*.f64 (/.f64 #s(literal -4/3 binary64) y) x)
(/.f64 #s(literal -4/3 binary64) y)
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)))
(*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x))
(/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y)
#s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64))
(*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) x)) #s(literal 1/3 binary64))
#s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) x))
(*.f64 (/.f64 x y) x)
(/.f64 x y)
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) y) #s(literal 1/3 binary64))
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) y)
#s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x))
(*.f64 (-.f64 x #s(literal 4 binary64)) x)
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eval252.0ms (3.2%)

Memory
11.8MiB live, 242.9MiB allocated
Compiler

Compiled 13 212 to 2 075 computations (84.3% saved)

prune328.0ms (4.2%)

Memory
-8.3MiB live, 158.3MiB allocated
Pruning

23 alts after pruning (14 fresh and 9 done)

PrunedKeptTotal
New9425947
Fresh3912
Picked145
Done055
Total94623969
Accuracy
100.0%
Counts
969 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
49.3%
(/.f64 (-.f64 #s(literal 3 binary64) x) #s(approx (* (/ y (- 1 x)) 3) (*.f64 (/.f64 y x) #s(literal -3 binary64))))
49.5%
(/.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) x)) #s(literal 3 binary64))
57.1%
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64)))
42.9%
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64)))
52.8%
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
57.0%
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) y) #s(literal 1/3 binary64))
43.5%
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) y) #s(literal 1/3 binary64))
52.7%
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) y) #s(literal 1/3 binary64))
49.5%
(*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) x)) #s(literal 1/3 binary64))
50.0%
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x))
99.8%
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)))
57.0%
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)))
43.4%
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (/.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x) y))
49.5%
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) (*.f64 x #s(literal 1/3 binary64)))))
8.6%
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) #s(literal -4/3 binary64))))
50.0%
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y)) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))))
8.6%
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (/.f64 x (*.f64 y #s(literal -3/4 binary64)))))
8.6%
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)))
53.0%
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y))
49.5%
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 y #s(literal 3 binary64))) x))
49.5%
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x))
52.7%
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y)))
Compiler

Compiled 574 to 318 computations (44.6% saved)

regimes97.0ms (1.3%)

Memory
-22.7MiB live, 96.7MiB allocated
Counts
42 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y))
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y)))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (/.f64 x (*.f64 y #s(literal -3/4 binary64)))))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) #s(literal -4/3 binary64))))
(*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) y) #s(literal 1/3 binary64))
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)))
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 3 binary64) x) #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64))))
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x))
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 y #s(literal 3 binary64))) x))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) (*.f64 x #s(literal 1/3 binary64)))))
(*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) x)) #s(literal 1/3 binary64))
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64)))
(/.f64 (*.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) #s(literal 1/3 binary64)) y)
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y)))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (/.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x) y))
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x))
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) y) #s(literal 1/3 binary64))
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64)))
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) y) #s(literal 1/3 binary64))
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64)))
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)))
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 (-.f64 x #s(literal 4 binary64)) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64)))
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))
(*.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 #s(literal -1/3 binary64) y)))
(/.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) x)) #s(literal 3 binary64))
(/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x))) y)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64)))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y)) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))))
(*.f64 (neg.f64 (-.f64 #s(literal 3 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -3 binary64) y)))
(/.f64 (-.f64 #s(literal 3 binary64) x) #s(approx (* (/ y (- 1 x)) 3) (*.f64 (/.f64 y x) #s(literal -3 binary64))))
(*.f64 (*.f64 (-.f64 x #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 1 binary64) x))) #s(literal 1/3 binary64))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 3 binary64) x) y) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 y (/.f64 #s(literal 3 binary64) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
Outputs
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)))
Calls

5 calls:

34.0ms
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64)))
25.0ms
x
15.0ms
(*.f64 y #s(literal 3 binary64))
11.0ms
y
10.0ms
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64)))
99.8%1(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
99.8%1(*.f64 y #s(literal 3 binary64))
Compiler

Compiled 23 to 24 computations (-4.3% saved)

regimes49.0ms (0.6%)

Memory
7.7MiB live, 86.6MiB allocated
Counts
28 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y))
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y)))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (/.f64 x (*.f64 y #s(literal -3/4 binary64)))))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) #s(literal -4/3 binary64))))
(*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) y) #s(literal 1/3 binary64))
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)))
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 3 binary64) x) #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64))))
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x))
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 y #s(literal 3 binary64))) x))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) (*.f64 x #s(literal 1/3 binary64)))))
(*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) x)) #s(literal 1/3 binary64))
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64)))
(/.f64 (*.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) #s(literal 1/3 binary64)) y)
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y)))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (/.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x) y))
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x))
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) y) #s(literal 1/3 binary64))
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64)))
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) y) #s(literal 1/3 binary64))
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64)))
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)))
Outputs
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)))
Calls

5 calls:

14.0ms
x
11.0ms
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64)))
8.0ms
(*.f64 y #s(literal 3 binary64))
8.0ms
y
7.0ms
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
Results
AccuracySegmentsBranch
99.5%1x
99.5%1y
99.5%1(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64)))
99.5%1(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
99.5%1(*.f64 y #s(literal 3 binary64))
Compiler

Compiled 23 to 24 computations (-4.3% saved)

regimes99.0ms (1.3%)

Memory
7.7MiB live, 83.3MiB allocated
Counts
26 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y))
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y)))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (/.f64 x (*.f64 y #s(literal -3/4 binary64)))))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) #s(literal -4/3 binary64))))
(*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) y) #s(literal 1/3 binary64))
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)))
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 3 binary64) x) #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64))))
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x))
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 y #s(literal 3 binary64))) x))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) (*.f64 x #s(literal 1/3 binary64)))))
(*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) x)) #s(literal 1/3 binary64))
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64)))
(/.f64 (*.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) #s(literal 1/3 binary64)) y)
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y)))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (/.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x) y))
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x))
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) y) #s(literal 1/3 binary64))
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64)))
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) y) #s(literal 1/3 binary64))
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 (-.f64 x #s(literal 4 binary64)) x)) (*.f64 y #s(literal 3 binary64)))
Outputs
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64)))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y)))
Calls

5 calls:

43.0ms
x
31.0ms
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
8.0ms
(*.f64 y #s(literal 3 binary64))
8.0ms
y
8.0ms
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64)))
Results
AccuracySegmentsBranch
98.4%3x
59.7%2y
82.4%2(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64)))
98.4%2(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
59.7%2(*.f64 y #s(literal 3 binary64))
Compiler

Compiled 23 to 24 computations (-4.3% saved)

regimes7.0ms (0.1%)

Memory
19.8MiB live, 19.8MiB allocated
Counts
23 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y))
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y)))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (/.f64 x (*.f64 y #s(literal -3/4 binary64)))))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) #s(literal -4/3 binary64))))
(*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) y) #s(literal 1/3 binary64))
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)))
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 3 binary64) x) #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64))))
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x))
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 y #s(literal 3 binary64))) x))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) (*.f64 x #s(literal 1/3 binary64)))))
(*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) x)) #s(literal 1/3 binary64))
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64)))
(/.f64 (*.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) #s(literal 1/3 binary64)) y)
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y)))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (/.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x) y))
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x))
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) y) #s(literal 1/3 binary64))
Outputs
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) y) #s(literal 1/3 binary64))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y)))
Calls

1 calls:

6.0ms
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
Results
AccuracySegmentsBranch
98.3%2(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
Compiler

Compiled 7 to 7 computations (0% saved)

regimes9.0ms (0.1%)

Memory
-17.5MiB live, 18.9MiB allocated
Counts
22 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y))
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y)))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (/.f64 x (*.f64 y #s(literal -3/4 binary64)))))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) #s(literal -4/3 binary64))))
(*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) y) #s(literal 1/3 binary64))
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)))
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 3 binary64) x) #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64))))
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x))
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 y #s(literal 3 binary64))) x))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) (*.f64 x #s(literal 1/3 binary64)))))
(*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) x)) #s(literal 1/3 binary64))
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64)))
(/.f64 (*.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) #s(literal 1/3 binary64)) y)
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y)))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (/.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) x) y))
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) y) x))
Outputs
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y)))
Calls

1 calls:

8.0ms
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
Results
AccuracySegmentsBranch
98.3%2(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
Compiler

Compiled 7 to 7 computations (0% saved)

regimes6.0ms (0.1%)

Memory
15.8MiB live, 15.8MiB allocated
Counts
18 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y))
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y)))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (/.f64 x (*.f64 y #s(literal -3/4 binary64)))))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) #s(literal -4/3 binary64))))
(*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) y) #s(literal 1/3 binary64))
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)))
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 3 binary64) x) #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64))))
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x))
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 y #s(literal 3 binary64))) x))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) (*.f64 x #s(literal 1/3 binary64)))))
(*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) x)) #s(literal 1/3 binary64))
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64)))
(/.f64 (*.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) #s(literal 1/3 binary64)) y)
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))))
Outputs
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)))
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64))))
Calls

1 calls:

5.0ms
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
Results
AccuracySegmentsBranch
98.3%2(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
Compiler

Compiled 7 to 7 computations (0% saved)

regimes15.0ms (0.2%)

Memory
-44.9MiB live, 12.7MiB allocated
Counts
17 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y))
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y)))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (/.f64 x (*.f64 y #s(literal -3/4 binary64)))))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) #s(literal -4/3 binary64))))
(*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) y) #s(literal 1/3 binary64))
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)))
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 3 binary64) x) #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64))))
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x))
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 y #s(literal 3 binary64))) x))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) (*.f64 x #s(literal 1/3 binary64)))))
(*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (*.f64 (/.f64 x y) x)) #s(literal 1/3 binary64))
(/.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) (*.f64 y #s(literal 3 binary64)))
(/.f64 (*.f64 #s(approx (* (- 1 x) (- 3 x)) (*.f64 x x)) #s(literal 1/3 binary64)) y)
Outputs
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)))
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 y #s(literal 3 binary64))) x))
Calls

1 calls:

14.0ms
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
Results
AccuracySegmentsBranch
97.6%2(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
Compiler

Compiled 7 to 7 computations (0% saved)

regimes4.0ms (0.1%)

Memory
2.8MiB live, 2.8MiB allocated
Counts
12 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y))
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y)))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (/.f64 x (*.f64 y #s(literal -3/4 binary64)))))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) #s(literal -4/3 binary64))))
(*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) y) #s(literal 1/3 binary64))
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)))
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 3 binary64) x) #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64))))
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x))
Outputs
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)))
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x))
Calls

1 calls:

3.0ms
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
Results
AccuracySegmentsBranch
97.6%2(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
Compiler

Compiled 7 to 7 computations (0% saved)

regimes20.0ms (0.3%)

Memory
20.2MiB live, 20.2MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y))
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y)))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (/.f64 x (*.f64 y #s(literal -3/4 binary64)))))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) #s(literal -4/3 binary64))))
(*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) y) #s(literal 1/3 binary64))
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)))
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 3 binary64) x) #s(approx (* (/ y (- 1 x)) 3) (*.f64 y #s(literal 3 binary64))))
Outputs
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)))
Calls

5 calls:

4.0ms
y
4.0ms
(*.f64 y #s(literal 3 binary64))
4.0ms
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64)))
4.0ms
x
3.0ms
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
Results
AccuracySegmentsBranch
57.0%1y
57.0%1(*.f64 y #s(literal 3 binary64))
57.0%1(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64)))
57.0%1x
57.0%1(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
Compiler

Compiled 23 to 24 computations (-4.3% saved)

regimes24.0ms (0.3%)

Memory
-6.5MiB live, 32.0MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y))
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y)))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (/.f64 x (*.f64 y #s(literal -3/4 binary64)))))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) #s(literal -4/3 binary64))))
(*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) y) #s(literal 1/3 binary64))
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)))
Outputs
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)))
Calls

5 calls:

10.0ms
(*.f64 y #s(literal 3 binary64))
3.0ms
x
3.0ms
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64)))
3.0ms
y
3.0ms
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
Results
AccuracySegmentsBranch
56.6%1y
56.6%1(*.f64 y #s(literal 3 binary64))
56.6%1(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64)))
56.6%1(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
56.6%1x
Compiler

Compiled 23 to 24 computations (-4.3% saved)

regimes17.0ms (0.2%)

Memory
5.1MiB live, 41.9MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y))
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y)))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (/.f64 x (*.f64 y #s(literal -3/4 binary64)))))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 x y) #s(approx (+ (* x 1/3) -4/3) #s(literal -4/3 binary64))))
(*.f64 #s(approx (* (/ (- 3 x) y) (- 1 x)) (/.f64 #s(literal 3 binary64) y)) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) y) #s(literal 1/3 binary64))
(/.f64 #s(approx (* (- 1 x) (- 3 x)) #s(literal 3 binary64)) (*.f64 y #s(literal 3 binary64)))
Outputs
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x)))
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y))
Calls

5 calls:

5.0ms
y
3.0ms
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64)))
3.0ms
(*.f64 y #s(literal 3 binary64))
3.0ms
x
3.0ms
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
Results
AccuracySegmentsBranch
58.0%2x
53.0%1y
57.1%2(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
53.0%1(*.f64 y #s(literal 3 binary64))
56.6%2(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64)))
Compiler

Compiled 23 to 24 computations (-4.3% saved)

regimes5.0ms (0.1%)

Memory
15.4MiB live, 15.4MiB allocated
Accuracy

Total -0.2b remaining (-0.7%)

Threshold costs -0.2b (-0.7%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y))
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/3 binary64) y)))
Outputs
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y))
Calls

3 calls:

2.0ms
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64)))
1.0ms
x
1.0ms
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
Results
AccuracySegmentsBranch
53.0%1(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal 3 binary64)))
53.0%1(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x))
53.0%1x
Compiler

Compiled 19 to 18 computations (5.3% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.8341395077730316
3567554.703229042
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.8341395077730316
3567554.703229042
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.8341395077730316
3567554.703229042
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.8341395077730316
3567554.703229042
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.8341395077730316
3567554.703229042
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.8341395077730316
3567554.703229042
Compiler

Compiled 14 to 15 computations (-7.1% saved)

bsearch15.0ms (0.2%)

Memory
-11.7MiB live, 27.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
-16882.5661466458
-0.198667666513753
Samples
7.0ms144×0valid
Compiler

Compiled 113 to 140 computations (-23.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 2.0ms (49.1% of total)
ival-sub: 1.0ms (24.6% of total)
ival-div: 1.0ms (24.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify50.0ms (0.6%)

Memory
-28.6MiB live, 54.4MiB allocated
Algorithm
egg-herbie
Rules
28×*-commutative-binary64-*.f64
+-commutative-binary64-+.f64
sub-neg-binary64-neg.f64-+.f64--.f64
1-exp-binary32-exp.f32
1-exp-binary64-exp.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
082465
1101465
2106465
3108465
4109465
Stop Event
saturated
Calls
Call 1
Inputs
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)))
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)))
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) (/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y))))
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) (*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) y) #s(literal 1/3 binary64)) #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y))))
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y))))
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))))
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 y #s(literal 3 binary64))) x)))
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)))
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)))
(if (<=.f64 x #s(literal -3/4 binary64)) #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)))
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y))
Outputs
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)))
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) y)))
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)))
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (-.f64 #s(literal 3 binary64) x) (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/3 binary64)) y)))
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) (/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y))))
(if (<=.f64 (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)) (/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) (*.f64 y #s(literal 3 binary64))) #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x)))
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) (*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) y) #s(literal 1/3 binary64)) #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y))))
(if (<=.f64 (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)) (*.f64 (/.f64 #s(approx (* (- 1 x) (- 3 x)) (fma.f64 #s(literal -4 binary64) x #s(literal 3 binary64))) y) #s(literal 1/3 binary64)) #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x)))
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 x (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y))))
(if (<=.f64 (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)) #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -4/3 binary64)) y) x)))
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x y) (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)))))
(if (<=.f64 (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)) #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -4/3 binary64)) (/.f64 x y))))
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 y #s(literal 3 binary64))) x)))
(if (<=.f64 (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)) #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (/.f64 x (*.f64 y #s(literal 3 binary64))) x)))
(if (<=.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 3 binary64) x)) #s(literal 5 binary64)) #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)))
(if (<=.f64 (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)) #s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x))) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (*.f64 (*.f64 (/.f64 x y) #s(literal 1/3 binary64)) x)))
#s(approx (/ (- 3 x) (* (/ y (- 1 x)) 3)) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) x)))
#s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) (*.f64 (/.f64 #s(approx (+ (* -1/3 x) 1/3) #s(literal 1/3 binary64)) y) (-.f64 #s(literal 3 binary64) x)))
(if (<=.f64 x #s(literal -3/4 binary64)) #s(approx (/ (* (/ (- 3 x) y) (- 1 x)) 3) #s(approx (* (/ x y) (+ (* x 1/3) -4/3)) (*.f64 (/.f64 #s(literal -4/3 binary64) y) x))) #s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y)))
#s(approx (/ (* (- 1 x) (- 3 x)) (* y 3)) (/.f64 #s(literal 1 binary64) y))

soundness1.8s (22.9%)

Memory
18.8MiB live, 1 307.8MiB allocated
Rules
12 062×lower-fma.f64
12 062×lower-fma.f32
10 326×lower-fma.f64
10 326×lower-fma.f32
8 634×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01273524
13573440
29363408
326433336
466303336
084143049
01683199
14793156
212793086
338663074
081932908
034162
052159
1203159
21485152
08494152
01122104
13192104
28182080
323871980
468281980
082091824
078446
1216446
2543446
31551418
44034418
57654418
08499384
0927
01427
15927
243327
3734027
0806327
027130
039130
1145130
2895130
08461130
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 695 to 395 computations (43.2% saved)

preprocess91.0ms (1.2%)

Memory
4.6MiB live, 160.2MiB allocated
Remove

(negabs y)

Compiler

Compiled 560 to 218 computations (61.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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